diff --git "a/data/dm_maths/full_data/1258_11255.jsonl" "b/data/dm_maths/full_data/1258_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1258_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 82678*r**3 - r - 164799*r**3 + r + 82663*r**3.\nAnswer: 542*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 198 = -3*b - 5*t, 5*t + 86 = b. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 9 = 2*s, -s = 4*d - 14 + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(6\/16) + (-2525)\/(-707)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmx when three letters picked without replacement from {x: 1, w: 2, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-33)\/(-87)) + 3. What is the second smallest value in 0.4, f, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(sqrt(66) + (sqrt(66) - (sqrt(66) - -2*sqrt(66)))*-4 + sqrt(66) + sqrt(66) + sqrt(66)))\/(sqrt(30)\/(4*-1*sqrt(5)))*3.\nAnswer: -4320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -0.656621.\nAnswer: 0.05252968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1801*x**2 + 213*x + 19. What is the thousands digit of j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -239*j**4 - j**2 + 44?\nAnswer: -5736*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 + 2*g + 2. Let t be w(-2). Let b(j) = -3*j**2 + 8*j + 30. Let v be b(-5). Let i be v\/(-51)*12\/10. Sort -2, i, t in increasing order.\nAnswer: -2, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/14 + 3\/(-2). Let l = 0 + k. Let g(n) = -3*n + 1. Determine g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7004575?\nAnswer: 5, 280183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002873356 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 13 + 2*b - 37 - 7 + 24.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*j - 14319 = -684*j - 2163 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -101101001?\nAnswer: 101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 + 73 = -29*b + 189. Calculate the greatest common divisor of b and 5388.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7013 is divided by 156.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11892.123 hours to days.\nAnswer: 495.505125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*h**4 - 2*h - 18.\nAnswer: -224*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 8*r - 7*r + 4 = 0, 3*r - 4 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 + 185.109. Round j to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 + 1. Suppose -2*n + 5*w = -18, 4*n + 3*w - 62 + 26 = 0. Let t be 6\/4*(-12)\/n. Is 8 a factor of h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 168, 17, -2, -3 in decreasing order.\nAnswer: 168, 17, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**3 - s - 3 - 111*s**2 + 111*s**2 in the form a*s + v + c*s**3 + r*s**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 28 = -4*p, p + 3 + 22 = -4*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(10) + sqrt(10) + -2*sqrt(810) + sqrt(810) + sqrt(810) + sqrt(10)))\/(3*(sqrt(162) - sqrt(162)*2)) + 2)**2 + 1.\nAnswer: -4*sqrt(7)\/81 + 32812\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 150 = -100 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from sgocggi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2579, -2433, -2277, -2105, -1911, -1689, -1433?\n\"Answer: h**3 - h**2 + 142*h - 2721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -0.0366146?\nAnswer: 4.0366146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/710930 and 39\/2248.\nAnswer: 2843720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16813c (base 14) to base 16\nAnswer: c0ffa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f**0*f))\/f*f)\/f*f**9)**47 assuming f is positive.\nAnswer: f**423","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69.85 and -4?\nAnswer: -279.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*p**2 - 97 + 48 + 52 as r + l*p**2 + h*p and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/3 + 19\/12. Let s be (-2109)\/60 - (-4)\/10. Let i = s - -35. Does i = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.8 - 4. Which is the closest to w? (a) -0.3 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, -11 in ascending order.\nAnswer: -11, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3173.969 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 614 + 196. Differentiate -j - l*j - 57 + 4*j wrt j.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5923*i**3 + 2171?\nAnswer: 17769*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millisecond in microseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -30*i**3 - 2*i**2 - 3*i**2 + 2*i**2 + 31*i**3 + 5*i. Determine d(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356157438 a multiple of 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from ttctccctcc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 - 11*l**3 - 7 + 0 + 5 + l + 1 - 14*l**2 + 8*l**3 as i*l + r + j*l**2 + d*l**3 + q*l**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/5)*m)**(2\/5))**(-1\/61))**(-34) assuming m is positive.\nAnswer: m**(612\/1525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 8. Let g be (h - -9) + 1 + -2. Solve -g*i + 2 = -i, -5*i + 1 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 4*h**3\/3 + 7*h**2\/2 - 4*h + 3. Is 33 a factor of u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 477?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-7 - 0) + 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40767681 - 40767680.28999953. Let m = 0.02 - 0.73. Let h = r + m. What is h rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 29*r - 24*r + 3*p, -4*p = 8 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*j - 66 + 108, 3*j = 2*l - 24. Solve -1 = l*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + 1 + -4 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/8)*p)\/(p**1*p) assuming p is positive.\nAnswer: p**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 4*o + 1\/3*o**3 + 0 + 0*o**2. Let d(n) = 2*n**2. Determine i(d(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*o + 521*o = -141*o + 5081 - 28679 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 + 5. Let c be 58\/(-8) - 1\/(-4). What is the units digit of o(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = 4*h + 117, -2*t - 163363*h + 163368*h - 34 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -45*y - 26 + 90*y - 47*y. Let o be i(-16). Suppose 0*b - l - o = -b, 0 = -5*b - 2*l + 2. Solve -3 = b*z + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101101001 - 12010?\nAnswer: -101120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 94 in -4, -3\/2, -0.2, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*(-50)\/(-1375).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) - (-2)\/(-6). Let i = v - -3. Find the first derivative of -q**4 + 7 - 6 - i wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234962 is divided by 723?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -120, 2, -1\/14, 0, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 - a41?\nAnswer: -98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138.6 - -139. Which is the second smallest value? (a) t (b) -1\/122 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*z**2 + 1060*z**2 - 733*z**2.\nAnswer: -130*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - -0.43. Let h = -1749230 - -1749229.4900156. Let l = w + h. Round l to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssuuluusu. Give prob of picking 1 s and 3 u.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y - 6. Calculate the lowest common multiple of x(5) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u - 907643 = -3346247. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -42.1. Which is the nearest to 2? (a) 3 (b) -2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65152594248 - 0.3.\nAnswer: 65152594247.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.5. Let s = 3.877 + 0.123. Which is the nearest to x? (a) 3\/7 (b) 1\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 489122880 by 714048.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + s + 4*s = 61, 0 = -2*q + s + 133. Calculate the remainder when 196 is divided by q.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 33110*o. Let p(a) = 5*a**2. What is z(p(c))?\nAnswer: 165550*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 38*m**2 - 40*m - 38. Calculate b(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - f = 1492, -r + 3*f - 4*f + 1484 = 0. Suppose -4*c - r = -8780. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2499868, 4999729, 7499586, 9999439, 12499288, 14999133, 17498974?\nAnswer: 19998811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 6, -6 in decreasing order.\nAnswer: 6, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -103. What is the closest to z in -4, -4\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 + 26*i**2 - 10*i + 15. Let j be k(-9). Solve -5*c + 0*p + 12 = p, -5*p - j = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -31. Let r = 15.76 + n. What is r rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4775 - 2836. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93412+72\nAnswer: -93340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1350)\/220)\/(-15)*160\/(-180)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5411 (base 6) in base 4?\nAnswer: 103033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/70)\/(77\/385).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - 7.2. Let u = -9.3 - s. Is 1 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14926 + 14929. Which is the second smallest value? (a) -46 (b) h (c) 1\/4 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 634265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/13 - 1412*x**3 + 755360*x**2\/13 - 5513644*x\/13 - 6287358\/13 = 0.\nAnswer: -9219, -1, 11, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 + 40*a**3 + 235*a**2 + 90*a - 360 = 0. Calculate a.\nAnswer: -3, -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473506 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 + -16.7. Let h = -13.60001112 - k. Round h to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -9) + -2)\/((10 - 1339\/143)*1)\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:25 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s - 3. Let p(r) = -r**2. Calculate k(p(l)).\nAnswer: 7*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - q - 11 + 29 - 43*q**2 as v + n*q**2 + x*q and give n.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763369 = 64*w - 938909 - 133242. What are the prime factors of w?\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = f - 3*h, 0 = -4*f - h + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 6*d - 4*v + 8 = 0, -2*v = 4*d - 26. Solve 2*k - 3*u = -2*k - 7, d*k - 2*u + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/3000 and 191\/35280.\nAnswer: 882000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*q**2 + 19*q - 3?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 16*x**2 - 94*x + 1103. What is y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 - 51*i**2 - 369*i + 6976. What is a(14)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 300*j**3 - j + 1. Let z(g) = g**3 + 4*g**2 - 4*g + 6. Let l be z(-5). Let p be r(l). Let s = p + -157. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzkpfcc. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 5*s + 3*m - 3313 = 0, 5*s + 4*m = 3309. Suppose 0 = -6*r - r + s. Calculate the remainder when r is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u + 8. Let g be (-400)\/(u\/1500*1). Suppose 2*z = -z - g. What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, r: 6}. Give prob of sequence rr.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 + 9*a + 2*a**2 - 2*a**3 + a**2 - 4*a**2 + 9*a to s + i*a**3 + t*a**2 + g*a and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 51 + 10*a - 22 - 2*a - 24. Let g(l) = 5*l. Calculate g(z(w)).\nAnswer: 40*w + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 289059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -15*m**3 + 1924*m**2 - 505*m - 882. Calculate f(128).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73853490 and 15762?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.6 + 25.2. Which is the third smallest value? (a) f (b) 0.191 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 45. Let c(t) be the first derivative of 4\/3*t**3 - t + a + 3\/2*t**2. Find j such that c(j) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*s + 2*z + 21 + 71, 2*s + 66 + 56 = -z + 5*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -1*sqrt(26)\/sqrt(2) + (-6*-1*sqrt(130))\/sqrt(10)).\nAnswer: -30*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 + 8*c**3 - 4*c**2 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:20 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - 530\/159*(-1 - (-34)\/(-50)). What is the smallest value in g, -0.5, 1\/17, 3, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.432749 centimeters in millimeters?\nAnswer: 34.32749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -x - 703, 4*j + 0*x = -5*x + 1441. Let l be ((-16990)\/1425 - -5)\/(1120\/j). Let m = l + 2\/3325. Find the common denominator of 69\/4 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1293\/682 - 20\/341. Let t = -1627 - -9667\/6. Calculate the common denominator of x and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/85 - 3\/17. Let m = 1.47 - -2.53. Which is the nearest to 0.2? (a) 0.3 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*m + 10 = 0, -10*y + 6*y + 4*m = -40. Suppose -2*j = y*j - 0*j. Solve -u + 3 - 4 = j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:24 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6390938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120901296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/3)*c)**(11\/3)*((c*c\/c**(-6)*c)\/c)\/c**(-6))\/(c**(-6)*c\/c**5)**(3\/26) assuming c is positive.\nAnswer: c**(2345\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 74. Let q be d(9). Let u = 3077\/222 + -186\/37. Calculate the common denominator of (q\/(-3))\/(332\/(-1245)) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13357640 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (321 + 13314*l - 200 - 121)*(l + 4*l**3 - l**3 - l**3) to o*l**4 + v*l**3 + g + r*l**2 + k*l and give o.\nAnswer: 26628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {p: 4, y: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.4, 9, 2\/3, -0.042?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k - 4. Let m(q) = -13*q - 8. Let v(n) = -26*n - 17. Suppose -o = x + 5, 3*x = o + 2*o + 3. Let b(r) = x*v(r) + 5*m(r). Calculate 5*b(h) - 7*z(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 215 * -8689.1.\nAnswer: -1868156.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39474 + 20.\nAnswer: 39494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 1 (b) 0 (c) 167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 360, 367, 374, 381?\n\"Answer: 7*r + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 467, -1, 5, 25, 54.\nAnswer: -1, 2, 3, 5, 25, 54, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 371*i - 2559. What is the remainder when 2619 is divided by m(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c - -5bc5?\nAnswer: 5ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(1872) - (-3 + sqrt(1872) + 0) - sqrt(1872)) + 1 + sqrt(832) + 2*sqrt(13)*-1)**2.\nAnswer: -138606 + 6552*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = 1. Let o(l) = -3*l - 5. Let v be o(-4). Suppose -3*j - v - 11 = -4*n, 5*j - 2 = -4*n. Sort -2, h, n.\nAnswer: -2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {r: 3, f: 2, v: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*m**3 + 635*m**3 - 211*m**3 - 212*m**3.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2 + 50*h + 61. Give b(12).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2860 - 6*x**3 - 2860 - 2*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/112*(-112)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {p: 1, t: 4, k: 2, s: 1, g: 3, m: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 1 b when three letters picked without replacement from xxbpp?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4676853.\nAnswer: 3, 17, 91703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13b - -4?\nAnswer: 13f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 708\/7 - 101. Let t(u) be the second derivative of s*u**7 - 3*u**2 + 0 - 23\/4*u**4 - 3*u - 11\/10*u**6 + 69\/20*u**5 + 11\/2*u**3. Factor t(q).\nAnswer: 3*(q - 2)*(q - 1)**3*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 5*y**2 - 4*y - 20. Calculate z(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-819)\/(-26) + 6\/(-4). What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 35*r**2 + 444*r - 49278. Let s(a) = 99*a**2 + 1332*a - 147835. Let y(j) = 17*l(j) - 6*s(j). Suppose y(p) = 0. Calculate p.\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.06839 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79\/2 - -40. Let t = 0.05 - -5.95. What is the second biggest value in f, t, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55579 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 80648.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 4. Let c = 304 - 183. Suppose -m*x = v - c, 5*x - 3*x + 3*v = 127. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dc4c + 42?\nAnswer: -dc0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 120102?\nAnswer: 120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let b(j) = 2*j**2 + 33. Let m(p) = 6*p**2 + 108. Let o(v) = 17*b(v) - 6*m(v). Give o(l(x)).\nAnswer: -2*x**4 - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2557071666.\nAnswer: 2, 3, 3109, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-7))\/(14\/(-2128)*-24).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a - 8. Put a, -1, -9 in descending order.\nAnswer: -1, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9273 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*o + 7744 = 813*o for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 + 5. Let v be i(0). Let m(a) = 5*a**3 - 2*a**2 - 2*a + 1. Let l be m(-2). Let y = l - -45. Solve 3 + v = -y*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 0, -2056301, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 4 + 0)*(2 + 1 - 1) + 2 - 2 + 1)*(-7*c - 13 + 13)*(c + c - 3*c) in the form w + o*c + h*c**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n*n)**(17\/5)\/(n*n*n**(-23)*n*n**(-10)) assuming n is positive.\nAnswer: n**(1016\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 0. Let p be (c\/(-6))\/(4\/(-12)). Solve -p*m + 3 = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -149*b - 5. Suppose 4 = -2*h - 8. Is p(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35\/3 - -11. Let r = 22 + -9. Let b = 13 - r. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/77 and 12\/96929.\nAnswer: 1066219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**4\/4 + 356*h**3 + 190104*h**2 + 45118016*h + 2257. Factor z(t).\nAnswer: (t + 356)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560, 1125, 1690, 2255, 2820?\nAnswer: 3385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3914.362kg in milligrams?\nAnswer: 3914362000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (2 - 1)) + -29 + 40 + -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 3140 = -12*i. Suppose -i = 6*d - 1840. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -421 + 433. What is the greatest common divisor of 132 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 63 = 3*a + 2*a, -12 = -4*a. Let y(m) be the first derivative of 2\/27*m**3 - o + 0*m + 0*m**2 + 1\/18*m**4 - 2\/45*m**5 - 1\/27*m**6. Factor y(p).\nAnswer: -2*p**2*(p - 1)*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422743831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 + 234020506068*v - 234020506068*v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + 0)**2 - sqrt(288) - sqrt(288))*-4 - (sqrt(288) - sqrt(288)*2*-3)) + -2 + 3*sqrt(288)*-5.\nAnswer: -1154 - 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 - 50*h - 36. Determine x(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + 5*n)*(-5 + 1 + 3)*(n**2 + 2*n - 2*n + 2*n).\nAnswer: -2*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r - 75. Let a be f(6). What is the second smallest value in -1.2, a, -2\/49, 5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 + 7*q + 10. Let a be p(-4). Let f be a\/(-6) + 861\/9. Calculate the common denominator of -93\/22 and (-12)\/f*87\/(-2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c + 120. Calculate the remainder when x(-19) is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j - 85. Let g(z) = 19*z + 85. Let n(t) = 3*g(t) + 4*y(t). Let d be n(-12). Suppose -l - 15 - 5 = 0. Sort l, d, 1.\nAnswer: l, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/4 (b) 0.116 (c) 0.07 (d) -3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 34 = 8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 u, and 1 a when four letters picked without replacement from taattattaua.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*r - g, 3*r = 7*r - g - 12. Suppose 3*d - r*d - 2*u - 35 = 0, 3*u + 30 = d. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 234aa?\nAnswer: 234a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:32 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3\/5 (b) -7 (c) 23\/378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in 2\/9, 3, 6, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 6999 in descending order.\nAnswer: 6999, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 55*k**2 + 2*k + 102. List the prime factors of y(-9).\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -30 + (15 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265 + -261.7. What is v rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -3 + 1*178. Suppose 10 = -5*n, -s = -3*x - n - 2*n. Let p be (-52)\/x + 3\/15. Which is the third biggest value? (a) p (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.6 + 5. Let s be (67 - 68)*(-3 - -1 - -7). Which is the nearest to 10? (a) s (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 8*b**2 - 9*b - 4. Let d be i(9). Let z(l) = -13*l + 17*l + 18*l**2 - 11*l**2 + l**3 - 1. What is the units digit of z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1125*g**2 - 4 + 7*g**3 + 3 + 1129*g**2 + 0*g**3 to the form y + l*g**3 + h*g**2 + r*g and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 260 = 5*r + 3*m, r + 28 = 5*m. Let q = r + 115. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 128168798 and 8804157.\nAnswer: 136972955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 19 + 49 = 0. Let o = -81 - -58. Let g = o - n. What is the greatest common factor of g and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49647 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41092819 and 24670.\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 757258221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*u. Suppose l + u*l = -3, 5*l = -3*r + 9. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10227*d**2*m**2 - 29775*d**2 + 6676*d*m**2 + 5*d - 2*m**2 - 9*m wrt m.\nAnswer: -20454*d**2 + 13352*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + 6. What is the derivative of -39 + j*h + 12 - 22 wrt h?\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 5*l - 3. Let x be z(-5). Let u(m) = -11 - 2*m**2 + 16 + 4*m + 3*m**2. Let p be u(x). Solve -c = -3*q + 2, 2*c + 2 = -p*q - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 30737982.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 1126, 3401, 7824, 15109, 25970, 41121, 61276?\nAnswer: 87149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(v**5 - 3*v**5 + 0*v**5) - v**2 - 2*v**5 + v**2 + (3*v**2 + v**4 - 3*v**2)*(-19*v - 611 + 21*v + 1306).\nAnswer: 4*v**5 + 695*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*w = 5*w + 9, -5*k = -3*w - 35. Suppose -r = k*g - 333, 5*r - 1 - 253 = -3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37\/55 - -14\/11. Let h(d) = d + 6. Let z be h(-4). Is g smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 1517*y - 1520*y, -5*y - 25 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -839, -6597, -22207, -52589, -102663, -177349, -281567?\nAnswer: -420237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*1*(-5 + (-3*sqrt(5) + -5)*5)*6.\nAnswer: -900*sqrt(5) - 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 3. Calculate the highest common divisor of j and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5350*l**5 - 3384*l wrt l?\nAnswer: -107000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 - 133. Suppose -2*s - j*r + 28 = 0, -r + 2 = s - 13. What is the third derivative of s*m**2 - m**5 - 512*m**3 + 512*m**3 - 3*m**5 wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) + (sqrt(891) - (-4 + sqrt(891) + 0))))**2 - (2 + sqrt(891) + -2).\nAnswer: -9*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 6*r + 12. Let n be t(-6). Let p = n - 9. Suppose -887*i = -892*i + 10. Sort -5, i, p, 0 in ascending order.\nAnswer: -5, 0, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 249*g**3 - 9*g**2 - 26*g - 13. Let b(f) = 125*f**3 - 4*f**2 - 12*f - 6. Calculate 13*b(q) - 6*p(q).\nAnswer: 131*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c*c\/(c\/((c*c**(-5)\/c)\/c)))\/c))**46*c*c**(-1\/9)*c**(-11)*c assuming c is positive.\nAnswer: c**(2402\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10111707*d**2 - 375841*d**2 - 3340257*d**2 - 2283692*d**2.\nAnswer: -16111497*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 150474.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1016?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955 = -b - 5*f, 2*b + 5*f - 2865 = -b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/9 - 287636*k\/9 + 287638\/9 = 0.\nAnswer: -143819, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let a(p) = p**2 - p + 1. Let l be a(k). Let x = 3 - l. Solve x = 5*z - 0*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 91*a**5\/120 + a**4\/24 + 13*a**3\/3 + 40*a. Let h(f) be the second derivative of r(f). Let o(p) = -p**2. What is h(o(i))?\nAnswer: -91*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 2}. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-368)\/6*(-1 + (-3)\/6). Let y = -55 + d. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -52. Let a(s) be the first derivative of 0*s**4 + 0*s**2 + v + 0*s - 2\/5*s**5 + 1\/3*s**3. Find the third derivative of a(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1))\/(w*w\/(w*w**(-4\/7)))*w**11\/w*w**1 assuming w is positive.\nAnswer: w**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124478405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28029 + -28029.113196. What is o rounded to 3 decimal places?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.64296 decades to years.\nAnswer: 206.4296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 + 17*q**2 - 9*q + 5. Calculate c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 26. What is the units digit of -2 + (-5)\/((-5)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91, 93, 95?\n\"Answer: 2*b + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (2 + 25)) + 0. What are the prime factors of y\/140 + 2182\/10?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-0.693396.\nAnswer: 11.787732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1835745 by 107985.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 3. Let q(p) = -p + 3. Let z(l) = -6*q(l) - 5*u(l). Calculate z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -191 - -430. Let w = 284 - a. Calculate the remainder when w is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-5 + (-12 - -26))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x + h + 57, 0 = x + 2*h - 7. Solve x = -3*b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - 686?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-3) - 3)*1. Suppose j = -f + 4 - 2. Factor -8*g**2 - 8*g**2 - 34*g - 12 + 7*g**f - 5*g.\nAnswer: -3*(g + 4)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*z + 35, -4*v - 17 - 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7119517741?\nAnswer: 7, 3583, 283861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 41. Let x(o) = -3*o + 21. What is 4*c(l) - 7*x(l)?\nAnswer: l + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 13 = 0. Suppose 5*a = 3*n + 69 - 284, 0 = -4*n - 3*a + 248. Calculate the greatest common factor of n and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - (-44)\/(-28)) + 23750\/133 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 626 + 73 = 0. Suppose x + 0*x - 11 = -4*n, 0 = n - 3*x + 7. Suppose a + n = 0, 4*w + 5*a - p = 35. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13849031 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -638.614 - -638. Let c = 0.414 + g. Which is bigger: c or -72?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*q + 1 + (2 - 7 + 3)*(3 - 3 - 3*q) - 3*q + 4*q + q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6.3. Let s = 22762 + -22805. What is the third smallest value in k, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -204485\/9, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 81*d**2 - 39*d - 39. Let i be n(40). Solve -z = -0*z + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5477374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 37921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111849 - 469374 = -v + n, -v = 3*n - 581239. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/38037569 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 34048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(78)*2 - sqrt(78)) - (sqrt(78) + (-2*-1*sqrt(78) - sqrt(78))))*-2)\/((sqrt(30) + sqrt(2430)*-4)\/sqrt(5)*-1).\nAnswer: 2*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4515, 4379, 4243, 4107, 3971?\n\"Answer: -136*b + 4651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 272*i - 1721*i - 71001 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 705325616 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 33 = -0*x - 2*x - 19, 0 = -4*y + 3*x - 26 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 - 76*p**2 - 28*p - 156. Give t(-15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w - 22. Let h(v) = -22*v + 67. Let t(i) = 6*h(i) + 21*q(i). What is the derivative of t(r) wrt r?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 874*m**4 - 1251*m**2 + 418*m**4 - 188*m**2 + 354*m**2 wrt m?\nAnswer: 31008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2622456 and 12141?\nAnswer: 2622456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 11, 7, -1, -13, -29?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -153459, -153468, -153479, -153492, -153507, -153524, -153543?\n\"Answer: -m**2 - 6*m - 153452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555577803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n*v**5 - 3*n*v**3 - 2*n*v**2 + 532*n*v - v**2 - 5*v + 3 wrt v.\nAnswer: -60*n*v**3 - 18*n*v - 4*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 12 = 10*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 18 = -4*n. Suppose -s = -4*h - 0*s + 13, -h = -3*s - n. Solve 0*p = p - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2 - -3) + -6 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a century in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -739, -740, -731, -706, -659, -584?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13574, 13576, 13578?\nAnswer: 13580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.770316ml in litres?\nAnswer: 0.005770316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 28*w**2 + w + 5. What is g(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 10 = a - 4*p, 2*a - 3*p = 130. Suppose y - 11 = -0*z - z, -3*z = -4*y + a. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2335 by 467.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*g - 3 = 2*k, 2*k = -g - 4. Let u be ((-1 - 2)\/k)\/(-1). What is the second smallest value in -0.3, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1427827 - 758232. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n**2 - 2*n - 16. Suppose -2*z - 27 = -6*z - 5*t, 2*t + 49 = 3*z. Is w(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/102*(384\/8)\/12.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = -4*k + 4, 3*k - n - 15 = 0. Let a = 81 - 43. Calculate the least common multiple of k and a.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64, -354, -870, -1606, -2556, -3714, -5074?\n\"Answer: r**3 - 119*r**2 + 60*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 1520, 5107, 12084, 23579, 40720?\nAnswer: 64635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -239 - -239.4. Let i = 0.4 + -0.5. Which is the closest to i? (a) -0.2 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 3*p**2 - 4*p + 6. Let t be j(3). Calculate the common denominator of (-6)\/(-3) + 129\/12 and ((-51)\/12)\/(t\/27*-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/19158 and 2\/5997?\nAnswer: 38296842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-195))\/((-45)\/50)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -51, -92, -155, -246, -371, -536, -747?\n\"Answer: -f**3 - 2*f**2 - 12*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/56 and -43\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-28) - (-38 + (-19044)\/(-504)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/11 - 134*m**4\/11 + 2306*m**3\/11 - 174*m**2 - 396*m = 0 for m.\nAnswer: -1, 0, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*b**2*f*y**2 + 16*b**2 - 4*b*y**2 + 2*f*y**2 + 2*f wrt f.\nAnswer: 20*b**2*y**2 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 6 - 6*h - 5. Suppose w = -2*w - 12. Let q(d) = 2*d + 6. What is w*m(o) - 7*q(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5417942 litres in millilitres?\nAnswer: 541.7942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -47, -1, 1061, 3\/8, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2944 and 6793832?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -935?\nAnswer: -3740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*o = 25, -d = -5*o - 1262 + 1283 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38172888 and -2?\nAnswer: -76345776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2 + -4*sqrt(162))**2 - (2 + (sqrt(96) + 2*sqrt(96))\/sqrt(3)))*3.\nAnswer: -900*sqrt(2) + 7818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79.6 + -6.6. Let k = -66 + f. Let j = k + -8. Which is the closest to 2? (a) j (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -14 + 10 - (0 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -173885 (base 9) in base 2?\nAnswer: -11010010101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + n. Let p be (-1)\/((-3)\/(6\/(-2))). Let o(u) = 4*u**2 + 3*u + 2. Determine p*o(d) + 3*k(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 756.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 - -112. Let r(d) = -10*d**3 - 7*d**2 - 7*d + 7. Let h(n) = -10*n**3 - 6*n**2 - 6*n + 6. Determine m*r(q) + 7*h(q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 59*r**3 - r**2 - 3*r + 3. Let o be l(1). Suppose -5*q + 5 + 43 = -m, -o = -5*q - 4*m. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*b + 2*c = -518, -3*c - 513 = -2*b. Calculate the highest common divisor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 346*p**2 + 947*p - 12422. Give y(-170).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360369359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 3*d**2 + 2*d - 2. Let p be a(-2). Put -3, 2, p in decreasing order.\nAnswer: 2, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*s - 10 + 14*s + 10 as v + k*s and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 49*v**3\/3 + 77*v - 3364. Let q(a) = a. Calculate u(q(j)).\nAnswer: 49*j**2 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 + 19 + -9 + 7 + 0. Find the second derivative of -29*o**2 + m*o**2 - 2 + o**4 - 5*o + 7*o - 5 wrt o.\nAnswer: 12*o**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4701995*m. Let i(h) = -2*h**2. Give n(i(w)).\nAnswer: -9403990*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-6))\/(5 - 197\/39). Let d = l + 73. Suppose -452 = 4*m - d*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-30)\/26) - -1. Which is the closest to 0? (a) 0.2 (b) f (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151803 is divided by 50445?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 129016613411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -3\/25*n**5 + 0 + 0*n**2 + 36*n - 1\/5*n**3 + 0*n**6 + 1\/105*n**7 + 4\/15*n**4. Determine a, given that g(a) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + p - 8 = 0, 2*p = o + o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -x - 3*w, x + 10*w - 82 = -56 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.39 - -0.19. Let r = l + 2. What is the third biggest value in r, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 432430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - ((15 - (-10 + 7) - (-2 - -12)) + -7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:12 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r = -10*r + 138 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2049, -4099, -6149, -8199, -10249?\n\"Answer: -2050*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*k + 9774, 0 = 5*k - 5*s + 4*s - 16292. List the prime factors of k.\nAnswer: 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25283*m**3 - 2 - 6058*m**3 - 2*m + 8235*m**3.\nAnswer: 27460*m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714, -758, -792, -810, -806, -774, -708, -602?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*t**3 - a**3*t**2 - 3*a**2*t**3 - 15962*a**2*t**2 + 252*t**3 wrt t.\nAnswer: -6*a**3 - 18*a**2 + 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -4. Calculate the least common multiple of 10 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(-1*sqrt(300))**2*3)*6.\nAnswer: -16230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48816 and 8208?\nAnswer: 927504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-36))\/((-32)\/36)*-1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 22. Let f = 6 + x. Let j = -3 - f. Put j, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -11, 29\/6, -57?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t + t. Let h(a) = 6*a**2 - 2*a + 1. Let j be h(t). Suppose -4*f - 14 = -j*f. What is the greatest common divisor of 126 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 + 6*a**2 + a + 3. Let i(k) = -2*k**3 + 5*k**2 + k + 2. Let v(r) = -5*i(r) + 4*o(r). Let s = -3541 - -3542. Give v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 815782.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 326.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 8*v + 2. Let p be b(-6). Let u = -5 - p. Suppose 0*o + u*o = 0. Does o = 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 3) to base 13\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -983, 0.3, -2\/7, 4\/17 in descending order.\nAnswer: 0.3, 4\/17, -2\/7, -983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -3. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/128 and -71\/22.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 214312*w + 214308.\nAnswer: 4*(w - 53577)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 12067716*s**2 + 265487816*s.\nAnswer: 4*s*(s - 3016907)*(s - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 267, 525, 795, 1083, 1395?\n\"Answer: w**3 + 251*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 34 + 89. Let u = v + 305. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102038421.\nAnswer: 3, 61, 239, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (670\/20)\/(4469*(-2)\/1788 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -512038048\/9 or -56893116?\nAnswer: -56893116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-12)*d**34\/d assuming d is positive.\nAnswer: d**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 173757006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -1. Let l = j - -5.5. What is the nearest to 0.1 in 0, l, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h + 4*h - 4*h. Let n(s) = 15 + 3*s + 18 - 33. Calculate i(n(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k - 10 = 0. Let w(x) = -3*x**3 + 2*x**2 + 2*x - 3. What is w(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/13 + 129144*m**2\/13 + 516264*m + 6710080.\nAnswer: 2*(m + 26)**2*(m + 64520)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n - 49*n - 1 + 1.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15870 and -24.\nAnswer: 15846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 604113*k**4 + 88*k - 433 wrt k.\nAnswer: 7249356*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + d - 5*d + 20, -3*d = -3*b + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195226 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l + 18. Let c be f(3). Is ((-54648)\/(-16))\/9*(-2)\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)*z)**(2\/13)*(z\/((z\/(z\/(z**(-2\/3)\/z*z)))\/z))\/(z\/(z*z**4)))\/((z**(1\/4)*z*z*(z*z**6\/z)\/z)\/(z**(1\/3)\/z**(-6))) assuming z is positive.\nAnswer: z**(2165\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 235\/5966044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + ((-196)\/(-36) - -1).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21758*b = -21749*b - 63 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**3 - 3 + 3)*(0*s + s + 0*s) + s**4 + 6*s**4 - 3*s**4)*(8 + 10 - 3).\nAnswer: 45*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25420560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 5) to base 3\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddkdddd. Give prob of sequence kd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 6 in decreasing order.\nAnswer: 6, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (61\/5)\/(10\/(-50)). Which is the closest to -1\/3? (a) -0.2 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 184*d**5 + 176*d**5 - 359*d**5 - 85*d + (-6*d + 3*d - 4*d)*(d**4 + 0*d**4 + 0*d**4).\nAnswer: -6*d**5 - 85*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 + 6 - ((10 - 14) + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -42974334\nAnswer: 42974333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2)*a)**(-3\/10))**21*((a*a**(1\/8))\/((a\/(a*a\/a**(-4\/7))*a)\/a*a))\/(a**1)**(-4\/3) assuming a is positive.\nAnswer: a**(-18623\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f = 4*l - 285, 2*l = -f + 125. Which is smaller: 68 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) - sqrt(78)*3*3) - -2*sqrt(78)*-1)\/((sqrt(6) + sqrt(18)\/sqrt(3))*3 - sqrt(384)*-2).\nAnswer: 7*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 c, and 1 j when four letters picked without replacement from agejjjreacjc?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402230 + 20102?\nAnswer: 422332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, 28, -5, 2 in increasing order.\nAnswer: -5, -1, -0.3, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3022, -3019, -3016, -3013, -3010, -3007?\n\"Answer: 3*w - 3025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10054.\nAnswer: 2, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -1, 1667, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6 = 3*s - 3*k, -4*s + 5 = -5*k. What is the second smallest value in -0.1, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5684 + 5687. Let i(z) = 4 - z**2 - z**2 + 2*z - 1. Give i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 204*x**2 + 4*x**3 + 137*x**2 - 2*x**3.\nAnswer: 3*x**3 + 341*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(-612))\/(4\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rer when three letters picked without replacement from frsrrrsserfr?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3014667*b*q**2 - b + 639798*q wrt q?\nAnswer: 6029334*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9757, -9757, -9749, -9727, -9685?\nAnswer: -9617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2580 and 2516790.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, a: 1, k: 2, q: 1, y: 1, n: 1}. Give prob of sequence xqyx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8954 and 109594?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -924*h + 8757. Is 220 a factor of r(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a0571a (base 12) in base 15?\nAnswer: 34522a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 11 + 65. Solve -a*v + 14*v + 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 740666 - 740714. Let l be ((-1 + -1)\/(-4))\/2. Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782696.84 rounded to the nearest 10000?\nAnswer: 2780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169.8843 - 169.46. Round a to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -7, -4, 40, -3 in increasing order.\nAnswer: -7, -4, -3, 1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, w: 4, u: 5, t: 3, r: 1, p: 1}. What is prob of picking 2 u and 1 w?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-21 + 5)) + -11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2 + 15*v + 2. Let a(f) = -6*f**2 + 15*f + 2. Let y(n) = 6*a(n) - 7*w(n). What is the tens digit of y(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258340762 and 848?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**2 + 2*v + 3. Calculate f(3).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, h: 5, p: 1, y: 1, m: 2, r: 1}. What is prob of picking 1 p and 1 m?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.7. Let m be 1 + (3\/(-1) - 0). Which is the biggest value? (a) x (b) m (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 17, 0.04, 3, -315, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662230 - 15261*c**2 - 662230.\nAnswer: -15261*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 604*c*s**4 - 23*c*s**3 - 3152*c*s - 2*c + 2 wrt s.\nAnswer: 7248*c*s**2 - 138*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Calculate the remainder when (-1)\/4*6*-12 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 12:00 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -253, 284, 1187, 2462, 4115?\n\"Answer: g**3 + 177*g**2 - g - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 59, -2\/17 in descending order.\nAnswer: 59, 2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-136)\/36 - (-6)\/(-27). Let f be -1*b\/2 - 0. What are the prime factors of f + (0 - 0\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -131333?\nAnswer: -131332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03163 + 7873863.\nAnswer: 7873863.03163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(192) + sqrt(192) + 2)**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -6 + 2)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -0.5332\nAnswer: 10.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390961, -781911, -1172861, -1563811, -1954761, -2345711?\nAnswer: -2736661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 65.8. Round u to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3\/7 (c) 5\/863 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2 - 481086*u - 20209140 = 0.\nAnswer: -42, 240585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*m - 8*m**5 + 75*m + 0*m**4 - 2*m**5 + 0*m**4 + (-3*m**4 - m**4 + 3*m**4)*(-2*m - 2*m + 3*m) - 2*m**5 + 0*m**5 + m**5.\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 + 1585. Suppose j - 630 = 4*u, -2*j = 2*u + 196 - z. List the prime factors of j.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 a factor of 6525364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 279*o + 31 = -281*o, 3*o = 2*i + 48. Sort i, 5, -5 in descending order.\nAnswer: 5, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uua when three letters picked without replacement from aauuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 1010*v - 6951. Determine g(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995929 is divided by 714.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from {g: 2, k: 1, t: 2, u: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 14*1 + 27 + -34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1948526 divided by -38.\nAnswer: -51277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2913\/4? (a) 2 (b) -7\/2 (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*z**3)*(0*z**2 + z**2 - 2*z**2) + 375*z**2 + 65*z**5 - 375*z**2 + (-2 + 2 + z**3)*(-z + z - z**2) - 3*z**5 - 5*z**5 + 0*z**5.\nAnswer: 58*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 388.754 to the nearest ten.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000087675 to seven decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/173, -90, 967?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3325*t + 4261*t - 1 + 1 + 568*t)*(0 + 2 - 3).\nAnswer: -8154*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -181, -366, -543, -706, -849, -966?\n\"Answer: r**3 - 2*r**2 - 186*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w - 6. Let c be 2\/(-4)*(-24)\/2. Let b be n(c). Let f = b + 102. Solve 3*s + p - 14 = 0, -4*s - 5*p = -f + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37444 and 79856?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584184.\nAnswer: 2, 7, 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*t + 2*t. Let g be 1\/(t\/(-24)*2). Let r be -4*-3*2\/4. Solve -g*v - r = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**3*c*t**2 - b**3*c*t - 33*b**3*t**3 - b**3 + 481*b*c*t - b*t wrt t.\nAnswer: -20*b**3*c - 198*b**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11810 + 12980. Calculate the smallest common multiple of k and 390.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-17)\/(-6) + -3)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16482 and 3321?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -2, 0.5, -5653.8, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.114 plus 473.965?\nAnswer: 474.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 205043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-24)\/(-22))*14655003\/(-548583)\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + (sqrt(125)*-2 - sqrt(125)))**2 + -3.\nAnswer: 60*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyylllll. What is prob of picking 2 l and 2 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/152 and 73\/390?\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -255 + 797. What are the prime factors of w?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/3 in 2, 0.587, 66?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*13\/13\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 15 = 3*z. Suppose -2*c + z*c - 17 = 0. What is the remainder when 33 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -59?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(140\/1656)*(-150)\/(-9). Let s = z + 11055\/8. Calculate the common denominator of -1\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-2)\/282 + 0). Let d(u) = 126*u**3 - 141 + u + c. Is d(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 12, 4, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-3)\/sqrt(9))**2 - (4 + sqrt(12)\/sqrt(6) + 2)**2.\nAnswer: -12*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 7 + 17. Suppose -520 = w - m*w. Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143967 - 101570. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -39 - 11. Let i be ((-5)\/v)\/((-2)\/7300). Suppose 4*n = 2*f + 2390, -2*n - n - 5*f = -i. Round n to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -23758365\nAnswer: -2\/7919455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/((4095\/(-9048))\/21).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 0.8. Let t = 7.425 + -4.425. Which is the nearest to d? (a) -0.3 (b) 1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*-3.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 172633754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 + r**5 + 3*r**2 - 5*r**2 - r**2 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v - 6. Let c(n) = -3*n - 2. What is -8*c(j) + 3*d(j)?\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*q + 284, 0 = 3*a + a + 2*q - 292. Suppose -a = 5*p - 282. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 3. Let i(n) = 11*n - 2*n - 8*n - 1. Give -d(m) + 5*i(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*2 + (-2544)\/8496.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2478478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, -108 in decreasing order.\nAnswer: 5, 3, -1, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -i - 191, 12*i = 17*i - 20. What is the greatest common factor of 169 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(806\/(-174902))\/(2\/21)\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*(-47)\/2961)\/((-4)\/(-1392)*4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 4*l + 6 - l)*(2*l + l - l) as m*l**2 + u + o*l and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3*o*t - 7*b**3*o + 5*b**3*t**2 + 3*b**2*o*t**3 + b**2*t + 3*b*t wrt t?\nAnswer: 10*b**3 + 18*b**2*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.57, 2\/49, 0.4?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(11)*3 - (sqrt(176) + 1)**2) + ((sqrt(88)\/sqrt(32))**2 - (sqrt(11) + 1*sqrt(11))*6) + 0.\nAnswer: -697\/4 - 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (156 - 151)\/((-75)\/(-2))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**5\/25 - q**4\/15 + 8*q**3\/15 + 8*q**2\/5 + 21*q. Let l(g) = 0. Calculate g.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1.9.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 43. Let s(i) = -i**3 - 12*i**2 - 11*i - 7. Let k be s(z). Let g(t) = -t**2 - 8*t - 3. Calculate g(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7475?\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11200 = 7*u + 9*u. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaq when three letters picked without replacement from qjjfa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 5*w + 120. Suppose 0 = -4*h + 2*u + 192, -5*h + 85 = 3*u - 155. Suppose 19*n = 25*n - h. What is the highest common factor of w and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.141 - 0.151. Let k be -1 - (-2)\/((-16)\/(-14)). Let h = -567 - -567.1. Which is the closest to h? (a) k (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:50 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 + 17\/34. What is the closest to l in 3, -2, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/(-15)*18\/(-4). Let n(l) = -l**2 - 5*l - 4. Let v be n(-3). What is the greatest common divisor of v and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273676 (base 12) in base 3?\nAnswer: -1012222012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 58. Calculate the lowest common multiple of 12 and (-714)\/o - 4\/7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6 + 5*p**2 + 5*p - 6*p**2 + 2*p**2. Let q be y(-4). Let o(k) = k**2 + 11*k**2 - q*k**2. Let j(d) = -d. What is o(j(s))?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -383, -858, -1523, -2378, -3423?\nAnswer: -4658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 223.52369 and -74735.9.\nAnswer: -74512.37631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 3, h: 3, c: 5, x: 7}. Give prob of sequence dx.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 - -823\/8. Sort 3, a, 0.2 in decreasing order.\nAnswer: 3, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -10. Let g = -18.2893301 - -26.28933. Let t = k + g. What is t rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/159 + 2\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from hgggoghgdggvoddoo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 - 9*w + 8. Calculate p(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-72))\/((-1)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 33. Factor -13*g**4 - m*g**2 - 2*g + 4*g - g - g**5 + 15*g**4.\nAnswer: -g*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.496517 to two dps.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44533109005 and 186.\nAnswer: -44533108819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -854, -1643, -2364, -3011, -3578, -4059?\nAnswer: -4448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -1\/2, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-14 - (-6)\/(-3)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 341*c + 2003. Let s be h(-6). Solve -s*z + 4 = -66*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let i be m(-2). Let k = 15.3 - 15.23. What is the smallest value in -3, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 8*h**2 + 5*h + 17. Let p = 12 + -8. Suppose t + 3*t - p = 0. Calculate the remainder when o(7) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i = 57. Let t = 38 + 46. Suppose -5*w = -5*z - 90, -z = -4*w - 3*z + t. What is the remainder when i is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120153 - -46288. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:22 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*v - 249*v = 307*v - 1296 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 493728 and 120?\nAnswer: 2468640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 5*p**2 + p - 3. Let k(q) be the third derivative of q**3\/6 - 4*q**2. Let z(i) = -5*k(i) - r(i). Let h be z(-5). Solve h*f - 1 = 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10627998*x**2 - 5313999*x**2 - 5314003*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*k + 166*k = 224. Let b(w) be the first derivative of -1\/2*w**2 + 19*w - k. What is the first derivative of b(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/((-5)\/50). Let p be (1833 - q)\/(1*7). Let c = 263 - p. Is -1 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8019 and 891.\nAnswer: 8019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543130 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 39.8. Is q < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 + -151. Sort 41\/3, d, -25\/4 in descending order.\nAnswer: 41\/3, d, -25\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -3\/7, 8.24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1741266263 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -12.5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - 0)*(-18)\/(-4). Let z be (-39)\/78*(0 + 706\/(-13)). Let n = v + z. Which is the closest to -2\/5? (a) 3 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 71, 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128606465.\nAnswer: 5, 13, 152197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/3 + 76375*u\/3 + 76370\/3.\nAnswer: 5*(u + 1)*(u + 15274)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10.1*-296.81\nAnswer: 2997.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 32884902?\nAnswer: -1\/10961634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779*y - 1133174 = 12342*y for y.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 6*d + 8*d)*(-141 - 4*d + 61*d + 146) to the form a*d**2 + p + c*d and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c (base 13) to base 14.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.30117 micrometers to nanometers.\nAnswer: 61301.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -6424\/15*l - 5158472\/15 - 2\/15*l**2 = 0.\nAnswer: -1606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1405162 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59209 is divided by 19170?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/6*(-16)\/(-10). Let s be (h\/(-6))\/(1 + 33\/(-27)). Calculate the remainder when (348\/s - 4)*5 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)*y**(-1\/10)\/y*y*y**(-1)*y**(-2\/11) assuming y is positive.\nAnswer: y**(-801\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -251 + 11. What is the remainder when 102 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(0 - (-3)\/9). Find the first derivative of 2 + 2 - y - t**4 + 4*t**4 wrt t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-15) + 34\/10. Let u(c) = -5*c - 5. Let r be u(-10). Suppose 0*o + r = 3*o. Solve 20 = -a + 3*a - 2*s, b*s = -o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s - 70. Let x = s - -106. What is the remainder when x is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -672.58*5.3\nAnswer: -3564.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*g + 185724, 5*u + 32121 = 2*g - 91730. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5055, 5075, 5119, 5199, 5327?\n\"Answer: 2*n**3 + 6*n + 5047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 640.104*-0.07\nAnswer: -44.80728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2 (c) 532 (d) 8 (e) -1 (f) 4\/7 (g) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssv when three letters picked without replacement from svsssvss?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ggmgggggggmgg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 d when three letters picked without replacement from jjdauaaaaj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3.9, 315, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697 a factor of 76753613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2674 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - k + 17, -4*k = -6 + 2. Let x(y) = -y**3 - 8*y**2 - 3*y + 5. What is the tens digit of x(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 - 321071?\nAnswer: -32112a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 881886578 to the power of 1\/2, to the nearest integer?\nAnswer: 29697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 7*b**2 + 2*b - 7. Let g be o(-7). Let u(m) = -45*m - 1. Let j be u(1). Let c = g - j. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.2027277 and 4.8.\nAnswer: 0.5972723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynn when three letters picked without replacement from ynnny.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 + 0*v**2 - v**2)*(15 - 15 + 34) + 88*v**2 - 44*v**2 - 3 - 46*v**2 + 7*v in the form q*v + j*v**2 + p and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(27)\/sqrt(3))\/sqrt(3)*-6)**2 + (sqrt(150)\/sqrt(40))\/(-1*sqrt(45)).\nAnswer: -145*sqrt(3)\/6 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -102.568. Let h = -0.068 + a. Sort 4, h, -8 in increasing order.\nAnswer: -8, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -11. Let q be 48\/27 + k\/9. Solve 6*d - q*d - 14 = 2*i, 3*d + 4*i = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69, -69, -67, -63?\n\"Answer: j**2 - 3*j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26556930 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-10)\/(-1))*(-114)\/(-19)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*v + 48, -4*h + 6*v = 5*v - 74. Calculate the lowest common multiple of -1 + 8\/12 + 100\/12 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-208)\/(-13))\/(-1))\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -197.33 and -0.459.\nAnswer: -197.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -384845 (base 11) to base 8\nAnswer: -2240636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)\/(13\/(-78)). Let f be (9\/15)\/((-5)\/(-25)). Solve -5*l - f = o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:08 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 24*m**2 - 46*m - 37. List the prime factors of d(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 4*q + 1. Let w be h(0). Is ((-1 - w) + -1)\/((-18)\/2874) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 1 - 2 + 2)*(-8*f - 4*f + f) as z*f + u + l*f**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -240.7 * -0.1004\nAnswer: 24.16628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 159412 and 28984?\nAnswer: 318824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -5, 38 in decreasing order.\nAnswer: 38, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let p(u) = u. Let h be p(i). Which is the nearest to -1\/3? (a) 3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 5 (c) 19 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {h: 6, k: 4, i: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.68 * -57.\nAnswer: 3002.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 12204822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 33*n**2. Let k(g) be the third derivative of -g**2 - 1\/12*g**4 + 0*g**3 + 0*g + 3. Determine k(x(f)).\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*a + 2 = -4*a, 5*a - 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6 = 4*v, -1 = v - 0. Let z be (40\/(-7))\/(2\/(-7)). Let x = z - 17. Solve -b*n + x = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 297303*a**2\/2 + 22098011691*a\/2 - 110482626005\/2.\nAnswer: (a - 148649)**2*(a - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 8. Suppose 6*k - 38 = 4. Calculate y(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - r**2 + r - 4. Let z be (0\/(-9))\/((-2)\/1). Suppose 2*a - 8*a = z. Calculate b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-1)*2477\/178344.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 5*t - 10. Give i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26308? (a) 52\/7 (b) 8 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 22384835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, i: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 13) to base 7.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jywrujrrwwrb. What is prob of sequence bbrw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1 - 6*x + 1. Let d = 3 + 2. Let u(n) = 5. Let s(p) = p + 6. Let h(y) = d*s(y) - 6*u(y). What is m(h(t))?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -29*z. Let g(b) = -7214*b**2. Give k(g(l)).\nAnswer: 209206*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.789 + -7.589. Which is the second biggest value? (a) j (b) -18\/7 (c) -1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -90) + (-66 - -38) + (6 - -5).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5320 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2206377 rounded to the nearest ten thousand?\nAnswer: -2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, -0.1, -4, -1848, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 1 (c) 0.01544 (d) -76 (e) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/36 and -41\/9000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -13, 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 1102?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3406*-1.\nAnswer: -3406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 8*u - 5 = 6*u, 27 = 3*w + 6*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) -18 (c) -2969\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 2363 - 9963 = 0. Let o be (x\/(-57))\/(-20)*3\/8. What is l in 0*l**2 + 0*l + o*l**4 + 1\/2*l**3 + 0 - 1\/4*l**5 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 1. Let u be b(3). Suppose 4*j = -1 - 19, u*d - 45 = j. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101601427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -122*r**4\/5 - 48*r**3 + 4278*r**2\/5 - 28*r = 0.\nAnswer: -7, 0, 2\/61, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3\/5 + 1392*a**2\/5 - 12*a\/5 - 5568\/5 = 0.\nAnswer: -464, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4940164358 plus 12?\nAnswer: 4940164370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/30)\/((732\/(-1440))\/61).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 65 - 35 - 35.\nAnswer: -3*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = 48*g - 27084. Suppose -q = 5*y - g, y + 3*q + 164 = 3*y. What is the least common multiple of y and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 36. Suppose 2*u - y - 7 = 0. Let a(z) = z**2 - 7*z - 13. Let v be a(9). What is the greatest common factor of u and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 7) + (-1 + -35)\/(-2). Let t(c) = -3*c**2 + 60*c + 13. Is t(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a. Let t be 0 + (62 - a - 2). Suppose 3*r = 6*r - 36. What is the greatest common divisor of r and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -3, -6, -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 13 = -33 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1173780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 472*h**2 - 3548*h + 3080.\nAnswer: -4*(h - 110)*(h - 7)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15486480 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19814204*m + 2977183*m - 8614320*m + 4009494*m.\nAnswer: -21441847*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-35)\/260)*6162\/(-8216)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 5811.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/902?\nAnswer: -1\/902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3785*d - 5322*d + 532*d - 2955*d + (0 + 3 - 1)*(-2 - 3*d + 2 + 1) to the form i*d + h and give i.\nAnswer: -11536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*t = 39, -5*t = -592*s + 591*s - 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 83 + 131 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/5 + 998*f**4\/5 + 128802*f**3\/5 + 1047178*f**2\/5 - 811636*f + 576240 = 0. Calculate f.\nAnswer: -245, -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(72)\/sqrt(4) + (2*sqrt(200) - sqrt(200))**2 + ((sqrt(32)\/sqrt(4))\/sqrt(4) - sqrt(2) - ((0 + sqrt(2) + -4)**2 + sqrt(2))).\nAnswer: 10*sqrt(2) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + k - 26 = -1, 4*k = 4*f - 56. Suppose 23 - f = 5*s. Suppose -s*m + 26 = -30. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 40710.\nAnswer: -4071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + a - 0*a + 103, 2*d + 62 = -4*a. Let m = -14 - d. Suppose 25*i - 3028 = m*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/5 + 112*j\/5 + 44 = 0. What is j?\nAnswer: -110, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-30) - (-7)\/105?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15105274, 15105269, 15105262, 15105253?\n\"Answer: -x**2 - 2*x + 15105277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(9)\/sqrt(3) + -2)**2*-4.\nAnswer: -56 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 - (-2 - 3). Suppose 9 = c - y*c. Let u = c + 16. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -59. Suppose -l = -t - 0. Is 11 a factor of -1 - (-23 + 0 + 15\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 5*x. Suppose 2*j = -0*j + 10. Let u(r) = -r. Let m(a) = j*u(a) + i(a). Let y(h) = -5*h**2. Calculate m(y(n)).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, 3, 4, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87200244 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1011*t**3 - 2053*t**3 - 1924*t**3.\nAnswer: -2966*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 7*x**2 - 9*x - 13. Calculate t(9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 516 - 1200. Let i = s - -682. Is i at least as big as -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -628, -666?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 25870000 to the nearest 100000.\nAnswer: 25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7341.\nAnswer: 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**31*(b**(-3\/5)\/b)\/b**(-2\/7))\/((b*b\/(b**(-3\/7)*b)*b)**(-22))**(38\/5) assuming b is positive.\nAnswer: b**(15251\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(1\/4)\/r)\/r)\/(r\/r**0)*(r**(4\/9)*r)\/(r**(-5)\/r)*(r**(4\/3)\/(((r\/(r**(-3)\/r)*r)\/r)\/r*r))\/(r**5*r*r**5\/r*r) assuming r is positive.\nAnswer: r**(-323\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149178 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16296 - -8?\nAnswer: 162a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 7547107008145\nAnswer: -7547107008145.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 3, -3, 55\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 11*c**2 + 14*c - 13. Let w be q(10). Let b be 438\/w + 3\/((-27)\/2). Let d(l) = l + 37. Is d(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2536409 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 4*f - 2*f - 6*f**2 - 17*f**2.\nAnswer: -23*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -f + 712. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1238.8 and -3.5.\nAnswer: 4335.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 0*o = -4*t - 20, o + t = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*h**2 + 96*h**2 - 23*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (66\/(-8))\/((-24)\/256). Suppose -o - k = -5*o. Calculate the highest common divisor of o and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Find the common denominator of 190\/44 + n - -2 and 18\/(-8)*6\/5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = -20 + 20. Suppose -5*a + 3660 = 5*d, a + 0 + 2 = s. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 1. Let q(w) = w - 1. Let z = -113 + 107. Calculate z*q(a) - 5*j(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83011 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 25 = -7*w. Let u = 223587 - 223583. Solve 5*n = -w*o - 5, 2*n + 4 = o - u*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - 5.67. Let k = -5 - p. Sort -4, k, -0.4 in decreasing order.\nAnswer: k, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33258644 is divided by 1379.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170515 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -21, 1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251344789 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*2*6)\/sqrt(11))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-9) + (-6)\/(-27). Let l be 1 + s*(-2 + 3). Solve 2*q + 4*y - 16 = -q, 5*y - 17 = -l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -1 - (-64 - (9 + -61))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(2\/(-28)). Let b(j) = -9*j - g*j + 0*j. Let p(t) = -234 - 175 + 3*t + 409. Determine p(b(i)).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8530 - 9*s**3 + 7*s**3 + s**3 + 8530.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (9651\/(-4))\/(2\/(-4)) - 27\/(-54) and 152?\nAnswer: 19304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2068, 4140, 6212, 8284, 10356?\n\"Answer: 2072*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b**3 + 2*b**2 - 3. Let s(f) = -6*f - 25. Let j be s(-4). Let k be h(j). Calculate the greatest common factor of k and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -12*c + 13*c + 5*n, -7 = -c + n. Determine f, given that 23*f + f**4 - 7*f - 10*f**3 - c*f**4 - 4*f**2 = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4.2 (b) 0.3 (c) -27 (d) -6\/139 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10321*v**3 - 32*v**2 + 16*v + 61. Let y(b) = 3440*b**3 - 10*b**2 + 6*b + 20. Let m(f) = -3*x(f) + 8*y(f). Find the third derivative of m(q) wrt q.\nAnswer: -20658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56737, 56732, 56715, 56680, 56621, 56532?\n\"Answer: -s**3 + 2*s + 56736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, -1113, -2639, -4165, -5691?\nAnswer: -7217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = 0, 3*i - 5*k = -0*i + 106. Let t = -192 - -159. Let b = i + t. Calculate the common denominator of b and 35\/69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2014 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -852*0.066.\nAnswer: -56.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/816 and 3\/3356444?\nAnswer: 684714576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33381504 divided by 32.\nAnswer: -1043172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 118, -3\/5, 48, -15\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 2:49 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8365 + -0.698803.\nAnswer: -1.535303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 5*r + 10, 3167*x + r = 3163*x + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 6*g + 10. Let h be w(5). Let r = -8 + h. Which is the smallest value? (a) r (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/9*(-2)\/(-12). Let m be (-2 + (-3)\/(-9))*(1287\/(-220))\/13. What is the nearest to 0 in t, -3.4, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*n + 13, 20*b - 16*b - n = -19. Put b, -6, 2.3 in increasing order.\nAnswer: -6, b, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*g, -103 = -3*q + 6*g - 2*g. Solve -q = -4*s + 5*i, -2*i - 3*i = -3*s + 28 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v - 6*v - 120 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1216) + (1 + sqrt(1216))*4)*-4 + -2)**2.\nAnswer: 5760*sqrt(19) + 486724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197150854.\nAnswer: 2, 98575427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -582*n - 19420. Determine a(-29).\nAnswer: -2542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15623.8 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(75\/(-195)) + -21. Which is the nearest to 32? (a) p (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 (base 11) in base 10?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.432 + 0.032. What is the fourth smallest value in -9, 5, -0.1, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3217 (b) -447 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**7\/7560 + n**6\/720 + n**5\/180 + 3*n**4\/8 - 8*n**2. Let m(t) be the second derivative of c(t). Find h, given that m(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -13. Find the third derivative of 35*l**j - 32*l**5 - l**2 + 4*l**2 wrt l.\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1016545462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1. Let v(p) = 1230*p - 210. Calculate -420*u(y) - 2*v(y).\nAnswer: -2460*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*s - 2*r - 8, 5*r = 5*s + 70. Let u be 3 + (-10)\/3 + (-2448003)\/s. Round u to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51657 divided by 10?\nAnswer: -51657\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 10) + 7 - (3 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from ddgudgfudguduugfdu?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 13 = -3. Let c(u) = 2*u**2 - 2*u + 1. Let r be c(1). Is f not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.24 times -0.2\nAnswer: -1.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12348*m = -12354*m - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 + -241020?\nAnswer: -240341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j + 1. Let i be h(3). Suppose -t + i*t = 165. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -22) + 0 - 14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.6, 0.04, -6, 30 in ascending order.\nAnswer: -6, -5, -1.6, 0.04, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-4\/9))**(-22\/5)\/(o\/o**(4\/5)*o*o**(-1\/23)))**(-1\/34) assuming o is positive.\nAnswer: o**(12329\/35190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5 + 0*j**2 + j**2 + 49*j - 48*j. Determine r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p + 9. Let u be n(0). Let h(s) = -s**2 + 12*s - 13. What is the units digit of h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58482 and 4014.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-6)\/170) - (3 + 0). Suppose h = 5*n + 3*p, -4*n + p + 65 = 4*p. Solve m + 15 = -3*d, -4*d - 2 = m + n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 - 13*b + 12. Let t be g(-8). Let z be (-21)\/(-14)*t\/(-6). Solve -k = n - 4*n - 10, -z = 5*k + 2*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309195 divided by -15?\nAnswer: 20613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h + 82*h + 2*s = -30, 3*h = 4*s + 30 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147\/6 - 3\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2963597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 - -2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16767 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185*t**5 + 358*t**3 + 16*t**2 + 975*t?\nAnswer: 11100*t**2 + 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575090 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 - 30*h - 100 = 0. What is h?\nAnswer: -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 68*o - 394. What is m(-30)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, a: 2, t: 13}. Give prob of picking 1 l and 2 t.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c + 12. Let r be u(2). Let y = r + -20. Which is smaller: -1\/5 or y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 5*n - 12. Let x be f(7). Suppose -x*l - 5*g + 14 + 4 = 0, 3*l - 4 = 4*g. Solve -u - l*u - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16637 + 16635. Sort 1\/3, a, 4\/3, -6\/25, 3 in increasing order.\nAnswer: a, -6\/25, 1\/3, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j + 3*j**3 + 5*j**2 - 5*j + 3*j - 4*j**2 in the form n*j**3 + k*j + y + h*j**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -53589, -4, -50.\nAnswer: -53589, -50, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r*y**3 - 7*r*y**2 - 4*r + 168365*y**3 - y + 400 wrt y?\nAnswer: 12*r + 1010190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003823 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 5813530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (99 + (1 - (-10)\/(-5))). Let g = -90 - l. Suppose 7*j - 3*j = 0. Solve j = -s + 4*s - g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*d - 3, 744*o - 740*o - 4 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (2\/10 - (-77)\/(-35))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/9 + 11\/18. Let a = -0.7 - -1. Put u, a, 1\/4 in descending order.\nAnswer: a, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 78. Let s be a(0). Suppose -s = 3*w - 5*w. Suppose w = 4*b - 229. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 19 = -6*h + 3*h, -h + 15*h + 4*i = -88 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 710 + -686. Solve -5*y = y - v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 9*z + 10. Let a be w(6). Let o(v) = -v**2 - 10*v. Let u be o(a). Let m = 24 - u. Calculate the remainder when 28 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 - 2*b + 105 - 164 to the form t + m*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 11:18 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2. Let w(x) be the third derivative of -5*x**5\/3 - 131*x**2 + 1. What is t(w(l))?\nAnswer: 40000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)\/(q*(q*q**6)\/q)*q**(2\/23)*q\/(q\/((q\/(q**2\/q))\/q)))**(10\/3) assuming q is positive.\nAnswer: q**(-1680\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + (6 - 80\/30). Solve 10\/3*o + 4\/3 + t*o**2 + 2\/3*o**3 = 0 for o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 = 5*y, 2*y + 19 = 5*i + y. Suppose -2*v + 3*n + 2*n - 22 = 0, -2*n = -i*v - 12. Is v < -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 6) to base 7.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 199 = 51. Suppose 5*p + h = 15. Which is the second smallest value? (a) -1\/10 (b) 1 (c) -0.3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(((u**(-8)\/u*u)\/u)\/u))\/(((u*u\/(u\/u**(-6)))\/u)\/u*u)*((u*u**(-1\/3)*u*u)\/u)**(-48))**(4\/5))**27 assuming u is positive.\nAnswer: u**(-6804\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 21*w**3 - 4*w**2 + 8*w + 1. Suppose 2*m = -4*d - 2, 5*m = -d + m - 18. What is the units digit of j(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paipapaamjp. Give prob of picking 2 p and 1 a.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9670243 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/2281600?\nAnswer: 3\/2281600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-14)\/16) + (-6674)\/1136 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:03 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017587 to 7 decimal places.\nAnswer: -0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 6, h: 2, s: 1}. Give prob of sequence enss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -800722, -800726, -800730, -800734?\nAnswer: -800738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2134 = 130*k - 3106 + 1860. Calculate the least common multiple of k and 8\/6*18\/4.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*h + 24, -h + 6*h + 16 = -2*z. Let x(n) = -n**3 - 8*n**2 - 2*n - 9. Calculate the remainder when 23 is divided by x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*l**3 - 2445406*c*l**3 - 2*l**3 + 66476*l**2 - 2 wrt c.\nAnswer: -3*c**2*l**3 - 2445406*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmdbmmdddmddofodd. Give prob of sequence dmdd.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eedddededezzeeee. Give prob of picking 1 z and 3 e.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251245543 - 110?\nAnswer: 251245433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -146. Suppose 0 = -2*p + r + 20. Calculate the remainder when p is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -108, -5 in decreasing order.\nAnswer: 28, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-19575))\/((962\/(-26))\/370)\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 240, 1\/4, 2\/11, 2?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4164783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5806 divide 129009320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/42 - (-2)\/7. Suppose 0 = -2*i - 12 - 10. Let n = i + 8. Which is the closest to r? (a) 0.1 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 732\nAnswer: 1\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*t + 35 = -435*t + 872*t - 4*h, t - 3*h - 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42*27\/(-945))\/(1\/((-1)\/(-3)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 22 + -9 + 0 + -3 + -14?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o. Let y(k) = -58*k - 8. Determine l(y(c)).\nAnswer: 116*c + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 20*r + 148 - 148 = 13*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oloccccorss. Give prob of sequence slo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00132367 rounded to 5 dps?\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 238*f + 482. What is i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -71, -702 in decreasing order.\nAnswer: -37, -71, -702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777532 to the power of 1\/2, to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwyiiywyiwiwwiiiw. What is prob of picking 1 w and 3 i?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 608 = 14*d. Suppose 4*t - 8 = 0, d = 2*n + 2*n + 2*t. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17 + 90546120\/2499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 495, -4175 in ascending order.\nAnswer: -4175, 0.5, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6592.899ml in litres?\nAnswer: 6.592899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -104*a**3 + 5*a + 5. Let d be z(-1). Find q such that 88*q + 3*q**3 - 1688*q - 24*q**2 + d*q**2 - 4*q**3 = 0.\nAnswer: 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - 3.01. Suppose -29*n = -139 + 23. Which is the nearest to 1? (a) n (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/14000 and -31\/450.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683147.3m to nanometers.\nAnswer: 683147300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/4770224 and -127\/6.\nAnswer: 14310672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(343) + 4 + -4).\nAnswer: -7*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*r**2 - 12*r**2 - 385 - 384 + r + 37*r**2 in the form x + v*r + b*r**2 and give x.\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + s - s + 8*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/13021 - 613043\/1718772. Let u = 1\/44 + j. Put -5, -2, u in decreasing order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-33)\/4*4*(-16)\/4 and 110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 k when four letters picked without replacement from dfddofkeedfo.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88979 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -177.361\nAnswer: 177.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4085 + 3482 = -67*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/6 and 469\/2160 - (-84)\/1890.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14868902 is divided by 239.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-21)*x*x*x\/(x\/(x*((x**(-5\/13)*x)\/x)\/x))*(x*(x**(2\/19)*x)\/x)\/(x*x*x*x**(4\/23)*x))**(2\/31) assuming x is positive.\nAnswer: x**(-255114\/176111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9975 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) 3\/238 (c) -2\/3 (d) -722\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6557145 is divided by 750?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1)*(-1 + 6). Suppose 3*s - 25 = -v. Let y be (-14)\/(-4) - (s - 2). What is the second biggest value in 2, y, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 + -0.183125.\nAnswer: 98.816875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1052827 + -4.\nAnswer: -1052831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1074737519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35\/42)\/((-33)\/18 + 2). Suppose -406 = -c - c - 4*v, 5*c - q*v = 1015. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*h = o + 147*h - 8, 4*o - 20 = -11*h + 31 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7808030?\nAnswer: 2, 5, 780803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376057011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/80 and (-1464)\/(-384) - ((-3)\/1 + -5 + 13).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20956 + 21646. Calculate the remainder when s is divided by 226.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 86*d + 7962*d**3 + 6 - 84*d - 2.\nAnswer: 7962*d**3 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -175 or -178?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5)*-2 + sqrt(160)\/sqrt(5) + sqrt(32))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*y**4 + y + 11*y**4 - 9*y - y**2 - 18*y in the form m + d*y + o*y**2 + g*y**4 + c*y**3 and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 187, 148, 135, 160, 235, 372, 583, 880?\n\"Answer: 2*o**3 + o**2 - 56*o + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**5\/5 - b**2. Let x(t) be the second derivative of t**3\/6 - 19*t. What is y(x(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -507 + 510. Solve 15 = r + q*v, -2*r + 4*v - 5 - 5 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3*((-920)\/(-150) - 7)*-5935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.73 + -1.729445. What is c rounded to 5 decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/(m*m*m**(-2\/15)\/m)*m**(-4)*(m**(-1\/2)\/m)\/m*(m\/(m**1\/m*m)*((m**(-3\/5)*m)\/m)\/m)\/((((m**(6\/11)\/m)\/m)\/m)\/(m**(-1\/5)*m)) assuming m is positive.\nAnswer: m**(19\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 42\/(-40))*((-10815375)\/6040)\/(-955).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21001 + -10?\nAnswer: 20331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a - 9. Let v be m(4). Let c = -18 - -18. Sort 5, c, v in decreasing order.\nAnswer: 5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2527 and (-8)\/10*(10\/(-6))\/((-134)\/(-3819))?\nAnswer: 5054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.073223 to 2 dps.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8723, -8726, -8729, -8732, -8735, -8738?\nAnswer: -8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 365, 1760, 4615, 9416, 16649, 26800?\nAnswer: 40355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*j - 3*r + 90, -2*r - 2 = 0. Suppose -5*q = 74*q - 6004. Let x = q + j. Calculate the smallest common multiple of x and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.071959 to three decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.4\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.52 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. What is the common denominator of 107\/18 and (c\/30)\/((-65)\/(-64) - 1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(-5*((sqrt(8)*2)\/sqrt(4) + -5))**2*-5.\nAnswer: -60000*sqrt(2) + 99000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 608459214 to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 105920*p - 553 + 185 + 176.\nAnswer: -105920*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -887 + -743. Let j = -548 - g. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 167762.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7.9. Which is the second biggest value? (a) 2 (b) -1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11822 = 359*p + 156*p + 1332*p - 23271 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34968373 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 9*r + 184. Determine h(10).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ba337 (base 12) to base 11.\nAnswer: 1138408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 - 4*s**2 - 9*s + 9. Let g(r) = -r**3 + r**2 + 2*r - 2. Suppose -4*i + 20 = 468*q - 467*q, 0 = 4*q + 4*i - 32. What is q*j(d) + 18*g(d)?\nAnswer: 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/30 + 3*o**3 - 5*o**2. What is the first derivative of l(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*(12\/(-8) + 1). Let g = -6 + y. Solve -2*l - 1 = g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -36, -1 in decreasing order.\nAnswer: 3, -1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04241 * -28812.\nAnswer: 1221.91692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p - 69 = 507 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 561*q**3 - 89*q**2.\nAnswer: 3366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 840577518 divided by -209\nAnswer: -4021902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 324927*l**2 + 2*l + 131954 wrt l?\nAnswer: 649854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12613, 57147, 131373, 235291, 368901, 532203, 725197?\nAnswer: 947883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 525 + 124*q - 26*q + 12*q**2 - 511. Calculate a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 64*o + 59*o - 1.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1088 and 15094016.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -547, -2181, -4905, -8719?\n\"Answer: -545*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-154)\/(-28) - (-2)\/4. Calculate the greatest common factor of 9 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -233 - 62*r + 190*r + 54 - 67*r - 62*r + 692*r**2 wrt r?\nAnswer: 1384*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*v + 290, 10*v - 3*o - 306 = 6*v. Calculate the lowest common multiple of v and 15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79474.63463 + 79475. What is k rounded to 3 decimal places?\nAnswer: 0.365","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220638413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-198))\/((-1452)\/19965)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 + 5.85. Let f = -5.6 + z. What is the third smallest value in 2\/23, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 + (7 - -12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3\/(-4)*(-224)\/(-2352)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {s: 5, d: 12, m: 1}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 1. Let j(l) = 9*l + 5. Suppose y = 5*y + 12, 2*z = -3*y - 19. Give z*p(k) - j(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6223202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 142*b**3 - 3406014*b**2 + 20424198930*b - 287664098 = 0.\nAnswer: 1\/71, 11993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -704, 139, 542 in ascending order.\nAnswer: -704, 139, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494274926 to the power of 1\/3, to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 26 = 3*x. Let i(d) = 3*d**2 - 3*d + 5. Let v(r) = 5*r**2 - 4*r + 8. Let a(c) = x*i(c) + 5*v(c). Let s be a(-5). Solve -j - s + 3 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*w + 266*w + 3*u = 10, -5*u + 40 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = 8784 - 9168. Solve -i - o = -2*i + 5*c, -28 = -2*i + 5*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106282 is divided by 26543?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97744.05ml?\nAnswer: 97.74405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*p + 5187 = -33*p for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4645 and 8\/10219.\nAnswer: 51095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65580a (base 12) in base 8?\nAnswer: 6101512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s + 5. Let l(c) = 27*c + 288. Let z(o) = 4*o + 38. Let w(i) = 2*l(i) - 15*z(i). Give -5*p(j) + 4*w(j).\nAnswer: 11*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - i = -94, -2*b + 2*i + 35 = -47. Calculate the common denominator of b and -43\/7094.\nAnswer: 7094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {m: 1, j: 2, w: 3, s: 3, g: 2, y: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*h + 1 + (-1 - 2 + 5)*(2*h + 2*h - 2*h) - 4*h + 0*h + 3*h + h - 7*h + h)*(-1 - 3 + 3) to p*h + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 2 (c) 7 (d) 12 (e) 0.4 (f) -2\/87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3839421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 14*o**2 - 4*o - 3. Calculate i(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13481 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) - 5739\/(-15). Let u = z + -3075\/8. Let b = 134\/39 - 218\/13. What is the common denominator of u and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*f + 50*f + 56*f**3 + (2*f**3 - 3*f + 3*f)*(1 - 2 - 1) - f**3 + 3*f**3 - f**3.\nAnswer: 53*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -808, -812, -820, -832?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 13644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 4*t + 1061. Is u(68) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let t(z) = 2*z - 122. Determine t(l(d)).\nAnswer: 4*d - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 239641\/24 - 9987. Let b = 105598 + -3801481\/36. What is the common denominator of b and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61114635 + 211?\nAnswer: 61115146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(891) + -1*sqrt(891)) + -1 + sqrt(891) + -1 + sqrt(891) - (-2 + sqrt(891) + 1)*1)*-4)**2.\nAnswer: -288*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21573181 is divided by 10786587.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + r - 637 = 0, -3*r = 3*s - 4*r - 379. Let y be s + (2 - 0)\/(-2). Suppose -3*k - 2*a - y = -8*k, -108 = -4*k + 4*a. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1086 and 1448.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225810*i**2*w**2 - 14508*i*w**2 + 2*w**2 + 3 wrt i?\nAnswer: 451620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 648262757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + 6*sqrt(171)*2))\/(-3*(sqrt(9) + sqrt(9)*2)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 690.6624 millennia?\nAnswer: 69066.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33400501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/((-344)\/2322)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (143\/(-26))\/(24\/576). Put k, 4, -1 in increasing order.\nAnswer: k, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2838\/127 or 21?\nAnswer: 2838\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - 1)*(15*l + 16*l + 50*l) - 1 + 2*l + 1)*(5 - 12 - 3) to s*l + x and give s.\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + 5*r)*(-4*r + 0*r + r)*(1 - 1 - 9)*(7*r**3 - 27*r**3 - 4*r**3).\nAnswer: -1296*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60829041?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 7*j - 7. Let c be o(5). Suppose c*r + 75 = 183. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22361741?\nAnswer: 151, 148091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q*q**(8\/5))**27 assuming q is positive.\nAnswer: q**(1431\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -45*a**3 + 2*a**2 - 56*a - 3. Let j(i) = 89*i**3 - 4*i**2 + 111*i + 5. Let u(s) = -3*j(s) - 5*z(s). Find the second derivative of u(v) wrt v.\nAnswer: -252*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or -115?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/21)\/3*5292\/(-216)*(-36)\/7\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/(-14))\/(198\/(-231))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**4 - 36*i**3 - 56*i**2 = 0.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 64264788*x - 321323840.\nAnswer: -4*(x + 5)*(x + 16066192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 1, x: 1, q: 1, d: 2}. Give prob of picking 1 d, 1 x, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.5 + -29. Which is the closest to -0.2? (a) s (b) -2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = a - 34, -5*a - 417*r = -414*r - 6 - 52 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2. Let y(n) be the first derivative of 5*n**6\/72 - 2*n**3\/3 - 7*n**2\/2 + 91. Let r(j) be the third derivative of y(j). What is v(r(g))?\nAnswer: 4375*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 - (-211 + 188).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 6. Suppose 0 = a*x + 3*s - 154, -8 = -0*s + 4*s. List the prime factors of (x\/(-8))\/(1\/(-6)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-182612)\/3215)\/((-120)\/(-50))?\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 10. Let t(a) = -5*a + 30. Let y(q) = 6*n(q) + 2*t(q). Let d(u) = 70*u + 1. What is y(d(r))?\nAnswer: -280*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2230*x**2 + 2226*x**2 - 21 - 8904*x**2 + 21 + 2227*x**2 + 2223*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-8) - (-38)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1134 and 10752.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 18*g**2 - 208*g - 4. Calculate l(10).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 12:11 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 8027576.\nAnswer: -8027577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12838 + 17095. List the prime factors of x.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -250 + -9?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/9 (b) -0.23 (c) 24 (d) -0.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(102) - sqrt(102) - sqrt(102))\/sqrt(6)*6 + sqrt(1377)*-1 + (sqrt(1377)*-1 - sqrt(1377)) + 3)**2*-3.\nAnswer: -132678 + 918*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3230 divided by -17.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/3 - 3*s**3 + 12*s**2 - 4*s\/3 - 16.\nAnswer: -(s - 2)**2*(s + 1)*(s + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y - 4*y)*(-17*y + y - 73 + 83)*(-2 + 3 + 7).\nAnswer: -128*y**2 + 80*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 365 - 1099\/3. Let q(f) = 2*f - 14. Let z be q(7). What is the nearest to h in 0.4, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 0)*(0*n + n - 6 + 2*n) to the form g*n + j and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200866297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18\/229, -8, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1485692?\nAnswer: 2, 13, 28571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121022210 (base 3) to base 11.\nAnswer: 8a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:35 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008349 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.3, -2\/9, 0.6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -c + 1757 - 1771, c = -35*p - 32 - 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -25?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1658 - 777.1658. Let f = j + 777.0351. Round f to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 87 = 15. Let m be (-112)\/d*(-3)\/(-2). Suppose -11*s = -m*s. Solve o = -2 - s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -5 (c) 76\/7 (d) -1\/317 (e) 2\/5 (f) 5 (g) 0.014\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6512 divided by 6.\nAnswer: -3256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266 - -266.01308. What is y rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 91. Let i(j) be the first derivative of -2\/3*j**3 + 1 + m*j + 0*j**2 - 1\/4*j**4. Find the third derivative of i(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 141 - 37 = 0. What is the common denominator of j + 2 + 2*-1 and (-9)\/3 + 81*(-2)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**4\/12 + 2*m. Let p(q) = 28*q - 17*q - 1 + 7*q + 4*q - 29*q. What is n(p(g))?\nAnswer: -49*g**2 - 14*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 362145 to the nearest 1000.\nAnswer: 362000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46834669, 93669337, 140504005, 187338673?\nAnswer: 234173341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 - 5270*a - 101217. Determine f(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141601 is divided by 314.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233 is divided by 182?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5 = -5*h - j, 3*j + 15 = 0. Suppose h*x - 3 - 3 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 104\/18 - 30\/(-135). Let o(n) = -4*n + 27. Let h be o(x). Suppose -6*k + 12 = -12. Which is the nearest to 1? (a) h (b) k (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10272\/(-9))\/(-2)*(-18)\/(-8). Suppose q - 7*q - x = 0. Let t = q - -300. Calculate the remainder when t is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 3983233646204.\nAnswer: 3983233646199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 447986318249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*u**4 + (-u**4 + u**4 + 2*u**4)*(4 - 6 + 3) + (-u - 2*u**2 + u)*(-4*u**2 + 3*u**2 + 0*u**2).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 1, -53, 2?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 16*q**2 + 13*q - 1. Let g be i(6). Suppose 2 = 2*r, g*t - 4*r + 19 = -0*r. Which is the closest to t? (a) -3 (b) 0 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20904\/20 + 8\/(-40).\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1430 by -11.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -251, -4 in decreasing order.\nAnswer: -3, -4, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 4*m + 4*u, 7*u + 2 = 8*u. Solve m*s = 115*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4559905 and 2128?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2 - 395002*v + 8689076 = 0.\nAnswer: 22, 197479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/19)\/((o\/o**(-1))\/o) assuming o is positive.\nAnswer: o**(-22\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19342 + b?\nAnswer: -19334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 54236*m.\nAnswer: -4*m*(m + 13559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001063 rounded to 7 dps?\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2. Let r(b) be the second derivative of b**4\/4 - b**2 + 5*b. Let i(k) be the first derivative of r(k). Determine i(x(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 1\/12*i**4 + 0*i + 0 + 10\/3*i**3 + 3\/4*i**5 + 33*i**2. Is o(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 532350, -5 in increasing order.\nAnswer: -5, -4, 532350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 21621.\nAnswer: 367557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -754\/9 - -84. Let l = i + -28\/45. Let a = 4\/113 - -424\/791. What is the third smallest value in -1\/4, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 541*h - 315 + 542*h - 577 to f + a*h and give f.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761631 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 258030086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3 + 573779*y**2 + 2295104*y + 2295100 = 0.\nAnswer: -573775, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 832. Suppose 334*o - 337*o = d - 4, -4*o = -4*d - 48. Calculate the smallest common multiple of o and y.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 318135.\nAnswer: -4\/318135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in 4, -0.1, 199.999, -2, -0.4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.93 + 2.33. What is the third biggest value in q, -5, 0.226?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*k**5 + 81*k**5 + 60*k**5)*(-3 + 2 - 2).\nAnswer: -477*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8199 is divided by 685.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121354 (base 10) in base 15?\nAnswer: 25e54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 20*z - 19. Let x be o(21). Suppose 0 = -g + 2*t + 2 + 6, -x*g + 3*t + 21 = 0. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 5*f**3\/3 + f - 23. What is the remainder when 28 is divided by p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -7 - -6 - -1) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13728 is divided by 161.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/5 + 3524*u\/5 + 986274\/5 = 0. What is u?\nAnswer: -1413, -349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -48, 35, 5, -17, -3 in ascending order.\nAnswer: -48, -17, -4, -3, 2, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107841 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 792403725 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171368.\nAnswer: 2, 31, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 + l**2 - l**2 + 3*l + 3*l**3 - l - 6*l**3 - 1 + l**3 + 1 + (-2*l**2 + 2 - 2)*(2 - 2 + l) in the form t*l**2 + d + u*l + g*l**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2263 = 1240*g - 18856 - 3247 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 3:40 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from mnwghhhnwnqn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/(-30))*9\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 33*y**2 + 81*y - 100. Let z be n(27). Which is greater: z or -2286?\nAnswer: -2286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295197 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7427 or 8018?\nAnswer: 7427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77746296?\nAnswer: 2, 3, 3239429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-6))\/(35\/77*1).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -44*s + 21*s + 24*s - 4*s**2. Let b be 10\/(-4)*(-2)\/(-1). Let j(o) = 5*o**2 - o. Calculate b*j(v) - 6*r(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 72 - 67 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b3e (base 15) in base 10?\nAnswer: -73409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeceeeeeeeee. Give prob of sequence ce.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1041*g**2 + g - g.\nAnswer: 1041*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2277*z + 2711*z + 1661*z - 457*z + 3593*z in the form d*z + v and give d.\nAnswer: 9785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10157, -10144, -10129, -10118, -10117, -10132, -10169, -10234?\n\"Answer: -l**3 + 7*l**2 - l - 10162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 12 - 15105*g**2 + 15113*g**2 + 11.\nAnswer: 8*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107? (a) -5.9 (b) -1\/10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/(4\/(-48)). What is g in 5*g**j - 5*g - 2 + 3*g**3 - g**2 - 2*g**4 + 2*g**3 + 0 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-291 + 277 + (-61)\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 plus -0.6551364791?\nAnswer: -1.4551364791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a hour?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7293844.\nAnswer: 2, 109, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*b**5 + 10*b**4 + 5*b**2 - 4074*b.\nAnswer: 420*b**3 + 120*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 848*t**2 + 3011. Let b(w) = -w**2 + 9. Let s(x) = 5*b(x) - i(x). What is the first derivative of s(o) wrt o?\nAnswer: -1706*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 3. Let f be m(-3). Suppose 3*r - 4 = -a, -2*a = r + f*a + 22. Let s(i) = -3 + 4 + i - r. Give s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-169)\/676*((-224)\/(-4))\/(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 54 = 68 - 155 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26271, 104932, 235939, 419298, 655015, 943096, 1283547, 1676374?\nAnswer: 2121583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*w - 2247, 0*w = 3*w + 4*s - 1669. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, t: 7, o: 5}. What is prob of picking 2 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 39*b - 203. Calculate t(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*y - 111*y - 442*y - 57*y)*(-2*y + 4*y + y) as q*y + h*y**2 + b and give h.\nAnswer: -1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -1 - 0)\/(0 - 1). Let h(m) = -2*m**3 - 5*m**2 + m + 9. Calculate the smallest common multiple of h(k) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 1 - (-8 - -4). Is -3 - (-130)\/x - 0 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1285, -2300, -3315, -4330, -5345, -6360?\nAnswer: -7375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(912)*-2)\/(sqrt(363) + (sqrt(363) - (2*sqrt(363) + sqrt(363))) + sqrt(363) + sqrt(363)).\nAnswer: -8*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 35328*c**3 + 156149696*c**2 + 1247502336*c + 2493874688.\nAnswer: 2*(c + 4)**2*(c + 8828)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9268, 4, 2 in decreasing order.\nAnswer: 4, 2, -0.9268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79 times 0.3?\nAnswer: -0.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39476, 39570, 39650, 39710, 39744, 39746?\nAnswer: 39710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k**3 - 6*k**3 - 113*k - 2*k**3 - 2*k**4 - 6*k**3 to the form p + l*k + q*k**4 + n*k**3 + v*k**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*n + 3*i, -4*n - 4*i - 16 - 4 = 0. Let u(l) = -2*l**3 - 3*l**2 - l + 9. Is u(n) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -162661 and -70.4?\nAnswer: 162590.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -98959?\nAnswer: -98958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.186 and -217.\nAnswer: 8069.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 252223 + 504471 - 252217.\nAnswer: i**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 585453 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 0*k - 5*k)*(-70*k - 354*k - 1800*k + 103*k - 240*k).\nAnswer: 2361*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g. Suppose g = 2*h - 3*h. Find the third derivative of b**2 - 2*b**5 + h*b**5 - b**5 + 2*b**2 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*((1 - -4) + 1). Let f be (-426)\/(1*-1*4\/r). Suppose -3*c = 138 - f. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 7089?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1570111 minutes in microseconds?\nAnswer: 9420666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 613962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 945, 4115, 9505, 17109, 26921?\n\"Answer: -q**3 + 1116*q**2 - 171*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 434630 to the power of 1\/2, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 12. Let d be k(-6). Let a(m) = d*m - 2*m - 3 + 5 + m**2. What is a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + 1 + 1 + 38 + -55?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 5*c + 3*c)*(-2 + c**2 + 2) + (0*c**2 - c**2 - 3*c**2)*(3*c + 2*c - 9*c) to the form n*c**2 + s + r*c**3 + h*c and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-126)*-6)\/(18\/459).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**2 + 39*m**3 + 17*m**3 + 49*m**2.\nAnswer: 56*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -6\/11, -5, 2\/11, 10 in descending order.\nAnswer: 10, 1\/3, 2\/11, -6\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -529.655 and -250.\nAnswer: 132413.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3695.\nAnswer: -18475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 3. Let t be j(5). Suppose t*y = 7*y - 145. Let f = y + -1. What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 9) to base 10.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 1. Suppose 3*y = -5 - 1. Let d(v) = -1. Calculate y*t(p) + d(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, 0.5, 0, 1371, 0.3, 0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 10 = -7*r. Let t(u) = 2*u + 55. Is t(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = -2*t - 4, 3*q = 4*t + 22. Suppose -f + 3039 = 5*k, -4*k - q*f = -3*k - 606. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3397*h**3 + 4*h**2 + 20*h - 4. Let p(f) = -3399*f**3 - 5*f**2 - 25*f + 5. Determine -4*p(u) - 5*t(u).\nAnswer: -3389*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (46 - (27 - 1)) + 1 + 3 + -5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 27*w - 52. Calculate k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*a**2 + 3*a + 3*a + 147*a**2 - 6*a as c*a**2 + w + f*a and give c.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-464)\/2088) - (-1 - 36)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2073324 - 3?\nAnswer: -2073327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 6*r - 14. Is (-10159)\/(-2)*(r - -1 - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 34*k - 9. Let d = -5 - -10. Let m(q) = -33*q + 10. Let v(z) = d*m(z) + 6*l(z). Does 10 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46059 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*b + 29*b - 5214338 - 67258122. What is b rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + f**4 + (3 - 3 - 2)*(-f**4 - 2*f**4 + f**4) + f**4 + 0*f**4 - 3*f**4 + 5213*f**4 + 4677*f**4 - 9049*f**4 + f**3 + f**4 - 4*f**4 + 2*f**4.\nAnswer: 843*f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5785*n + 3*g - 32 = -5780*n, n = -3*g + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279020084 to the power of 1\/2, to the nearest integer?\nAnswer: 16704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.181938 to 3 dps.\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - z, -2*y + z = -2*z - 5. What is the greatest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/176335764 and 133\/128244192.\nAnswer: 1410686112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1. Let b(m) = -m - 7. Determine -b(i) + 3*w(i).\nAnswer: i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from {h: 1, g: 6, u: 2, y: 4, n: 1, v: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -6, -3, 1 in increasing order.\nAnswer: -6, -3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93121 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -144395*((-55)\/(-550))\/(1\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 523 times 0.4\nAnswer: 209.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 55*t**2 + 26*t**3 + 20*t - t**3 + 3*t**4 - 15*t**2.\nAnswer: 5*t*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 2*r**3\/3 - 5*r**2\/2 - 2*r. Let d = -95 + 102. What is the remainder when a(4) is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.848172 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttrtttttt.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - k - 4*k = 28, -7 = -3*y + 2*k. Let x be (-25)\/(y\/(16\/36) + 2). Suppose 2*o = 0, -4*h + 0*o = -2*o - x. Solve 0 = 5*u - 0*u + h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffhffhfphpfhppf. Give prob of picking 2 p.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111101010110001010 + 10?\nAnswer: 1000111101010110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 0*t**2 + t**2. Let p(l) = -356*l - 350*l + 1428*l - 351*l - 358*l. Give y(p(d)).\nAnswer: -338*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f - 12. Let j be n(10). Let x = -71 - j. Suppose -3*b + 12 + x = 0. What is the remainder when 39 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 1271424 + 1271424.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3 = 55*l - 59*l - 10 - 9, 1166 = 5*l - 168*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 240. Suppose 192*j + 24 - 1944 = 0. Calculate the highest common divisor of j and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -768 divided by -263532\nAnswer: 64\/21961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20, 1, 582, -4, -5 in descending order.\nAnswer: 582, 20, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008504375 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23747778 + -569124\nAnswer: 23178654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + 22 - (-43 + 34 + 1)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, e: 11}. What is prob of picking 1 e and 3 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22088 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 10) in base 5?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54789 and 2434.\nAnswer: 133356426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 99*i**2 - 1. Let g be x(-1). Let v be 76\/6*9\/3. Suppose v = 2*z + 10. What is the greatest common divisor of z and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330885841847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11097\/8 in -4, 0.9, -0.01, 4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*w + 52 = 0, -2*s - 4*w + 68 = 3*s. Let q(b) be the third derivative of -b**5\/60 + 7*b**4\/12 - 8*b**3\/3 - 32*b**2. Calculate q(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - -0.3. Let m = 0.5 - t. Let r be -1 + (-17)\/(-8) + -1. Which is the closest to -0.1? (a) 1 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - g + 8)*(-4*g**3 - 4 + 4) + 2*g**4 + 3*g - 3*g + (1 - 1 - g)*(-4*g**3 + 6*g**3 + 0*g**3) to d*g**3 + p*g + z*g**2 + y + m*g**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 435 = 2*d. Calculate the common denominator of (-3 - (-82)\/24)\/(9\/(-78)) and (-3)\/6*d\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -28.284\nAnswer: -28.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.57, 5, 4, -103?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 - 2*t**3 + 3*t**3)*(6*t - 3*t - t) + (-t - t - 2*t)*(t - t - 2*t**3).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -24. Let u = -16.6 + s. Which is the third smallest value? (a) -1 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3078, 12286, 27622, 49080, 76654?\n\"Answer: -v**3 + 3070*v**2 + 5*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/(-2)*2\/6. Suppose 0 = -d - 3*t - 2*t + 11, -4*d = 5*t - 29. Let y = a - d. Solve 5*i - y = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-11)*(-6)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 37. Let y = 10 - m. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21964202399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**4\/8 - q**3\/6 + 5*q**2\/4 - 3*q\/2 + 6. Factor a(k).\nAnswer: -(k - 1)**2*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*x - 16 = -5*x, -5*c + 33 = -3*x. Let u = c + -1. What is the remainder when 19 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, y: 4}. Give prob of sequence yyyy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.2 (c) 45 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6991320, 6991319, 6991318, 6991317?\n\"Answer: -z + 6991321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let a(f) = 1. Let j(v) = -a(v) + d(v). Let q(r) = -5*r + 6. Let o(m) = -6*j(m) - q(m). Calculate o(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-9)\/36)\/(2\/(-680))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c70 + -14a2?\nAnswer: 679b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)\/(j*j**(-1\/13)*j))**(-5\/4) assuming j is positive.\nAnswer: j**(305\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0*g + 3*g + 4538 - 4521 + 0*g - 2*g. Let c(m) = -2*m**2 - 23*m. Determine o(c(k)).\nAnswer: -2*k**2 - 23*k + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -1\/12*l**4 + 0 - 2*l**2 + 1\/60*l**5 + 0*l - 4\/3*l**3. Find i, given that v(i) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 30\/5)\/(-1)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 172, 28 in increasing order.\nAnswer: 0, 1, 28, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -276 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*v - 254 = -2*k, -2*k = v - 133. Let i = 92 - k. Suppose 10 = -5*l, 5*q = 2*l + i + 2. Calculate the remainder when 24 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 11. Let b(g) = 1. Let v(t) = b(t) - s(t). Let d be v(0). Let o = d - -18. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -78. Solve -5*k + u - 14 = 0, 0*k - 9 = l*k - 3*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-6)\/1200 + 0). Let o be (n\/(-5) + -1)*-3. Calculate the greatest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 646388?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.5 (c) 3\/17 (d) -1.6 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 880 times -18\nAnswer: -15840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 190659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123909 is divided by 30971?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3619872 hours to seconds.\nAnswer: 1303.15392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/60)\/((2\/3)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/21 - 4)\/((-42)\/147). Let y(d) = -15*d**3 - 6*d**2 + 6*d - 6. Let g(q) = -q**3 + q**2 - q + 1. Determine s*y(h) + 6*g(h).\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9*f - 5 = 0. Suppose a + 5*h = -13, 0 = -a - h - f. What is the units digit of 12*a - (-2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/12 and -107\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - w + 3*r + 12, 2*w = -2*r + 2. Suppose 2*q - 1 = w. Suppose 12 + 36 = q*s. Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 13. Let l be k(5). Let b(q) = q + 2. Let j be b(4). Calculate the greatest common divisor of l and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-3\/2)*(s**4\/s)\/(s**(-3\/5)*s) assuming s is positive.\nAnswer: s**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 224, 367, 508, 647?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/3 + 32*y**3\/3 + 160*y**2\/3 + 256*y\/3.\nAnswer: 2*y*(y + 4)**2*(y + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h + 10*h**2 + 55*h + 53*h - 163*h.\nAnswer: 10*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00203543 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753871 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 143462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 4\/(-2) + 1. Calculate the common denominator of 17\/20 and 45\/(-11) - q\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 115940*h + 357581136.\nAnswer: 4*(h + 3509)*(h + 25476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 + 24*z**2 - 8*z**2 + 1 + (1 + 1 + 0)*(0*z**2 + 4*z**2 - 3*z**2).\nAnswer: 22*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v - v + 0*v + (0 - 4 + 2)*(v + v + 0*v) + (v - 2*v + 0*v)*(-1244 + 2043 - 1192) in the form f + s*v and give s.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-70)\/(-6))\/(-7). Solve 0*q + h = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1052 (base 6) to base 2.\nAnswer: -11111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1683067, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t + 66. Let a be r(11). Suppose 4*i + 5*b - 1621 = a, -i + 1230 = 2*i - b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:52 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = -3*q - 0, 2*m + 3*q = 3. Let l be (1 + 0)*(-1 + 3). Suppose -m*y = -5*p + y + 275, y + 110 = l*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195 + -389\/2. Let z = -34 - -33.6. What is the closest to 1\/2 in z, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c - 26 = -z, -2*z + 4*c = -12. Let o = 14 - z. Suppose 2*j - j + u - 20 = o, 4*j - 60 = u. Solve x + 3*x = -j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5)*-1 + -5)**2 - (sqrt(605) + 2)*-6.\nAnswer: 57 + 46*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2196 * -364\nAnswer: 799344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 88.16959?\nAnswer: -85.16959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/4 - 10*s**3\/3 - 4*s**2 + 13*s + 2. Let p be l(-9). Let c = -41 - -44. Solve p*f + 1 = -c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 539784 and 220745.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3*l**2 - l - 1. Let p(d) = -21*d**3 - 81*d**2 - 474*d - 27. Calculate 27*c(m) - p(m).\nAnswer: -6*m**3 + 447*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/(-2)*(-51310)\/14 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2420\/(-3388)*3\/(-95))\/(((-5)\/(-35))\/1)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -1283, -4178, -9845, -19214, -33215?\nAnswer: -52778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 331145402 - 3?\nAnswer: 331145377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(297)*2 + sqrt(297))*-1 - sqrt(297))\/(sqrt(11) + -2*-2*sqrt(11)))\/((sqrt(54)\/(-1*sqrt(3)))\/(sqrt(200)\/sqrt(4) + sqrt(50))))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 578549 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656 a factor of 873875400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788489453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (243 - 425)*(-1)\/(-2). Let s(r) = -r**3 + 8*r - 6. Let y be s(5). Is g bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k = -31*k - 8. Suppose 244 = -0*n + k*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9226 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13694 divided by -36?\nAnswer: 6847\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0075152338 rounded to 4 decimal places?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39998331 to the nearest integer?\nAnswer: 6324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) - 295\/(-9). Let g be (n\/9 + -1)*69. Suppose -2*q + 7*q = -t + 42, 4*t + 4*q = g. Is t 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 2199 and 79457200.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 44*o - 76. Let h be j(11). Is 287 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 497 + 65. Calculate the remainder when 66 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**3 - 1\/12*a**4 + 1\/2*a**2 + 1 + 0*a. Let d(h) be the second derivative of j(h). Let i(s) = s**2. What is i(d(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(102)*-5)\/((sqrt(192)\/sqrt(4))\/sqrt(8) - -2*sqrt(864)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*w = 147*w + 2*d + 6, 0 = 5*w + 5*d + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n + 83. Suppose 3*a - 95 + 20 = -4*f, 4*f - 4*a - 68 = 0. Let m be z(f). Solve -p - 3*y - m = y, -4*p + 8 = 3*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 78 = 14. Solve -5*j + 4*y = -22, 3*j - j - 4*y - c = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -32*r**5\/5 - 23*r**3\/3 - 12. What is the third derivative of q(s) wrt s?\nAnswer: -768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9478 - -1.78883. Let c = d - -0.16. Round c to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llk when three letters picked without replacement from {l: 4, k: 5, p: 1, y: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:04 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 841 - 839. Suppose -4*u = -6*u + f*n + 3760, -3*n = 5*u - 9360. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5246.43 and 24.576.\nAnswer: -5221.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 29.\nAnswer: -35\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 18. Let w(p) = -1. Let i(y) = -t(y) + 6*w(y). Let g be i(-8). Let o be (42999992\/10)\/(-2) + (-8)\/g. Round o to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2663926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1297.0346436 + -1297. Let d = 284.7743564 + b. Let m = -285 + d. Round m to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 12. Let c be h(4). Solve 3*o = -o + c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Let o = -2 - k. Solve v + g = -2, o = 4*v + 5*g - 3*g + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 202010200?\nAnswer: 202010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131274 and 1.578.\nAnswer: 207150.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -80, 17, 280, 763, 1520, 2605, 4072?\nAnswer: 5975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**6\/21 - h**5\/5 + h**4\/4 - 2*h**3\/21 - 5. Determine i, given that a(i) = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 170 = -4*x. Suppose 4*s = j + 38, 66 = -0*j - 2*j - 2*s. Let i = j + x. Solve 1 = -5*w + i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-20) + (-10)\/(-4). Suppose -2*j - 2 = 0, -i*d - 4*j + 26 = -0*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*65.68\nAnswer: 65.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4322825 to the nearest integer?\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96229386 and 43740630.\nAnswer: 481146930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349671532.\nAnswer: 2, 3, 13, 37, 43, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 8528516*d**2 - 4545944222688*d - 31822027457472.\nAnswer: -4*(d - 1066068)**2*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 423988279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-24)\/126))\/(196\/252)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 2:54 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 603, 28, -20\/3, 1\/5?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 2*j. Let d = -27 + 26. Let g be m(d). Suppose -h = h - y, g*y = -2*h. Which is bigger: -3\/38 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57097*m - 2*m**2 - 57097*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 70*r + 68 - 2. Let o(m) = 2*m**2 - 13*m - 27. Give o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(2\/5)*u\/(u*((u\/u**17)\/u)\/u))**(-3\/2))**(6\/31))**(-2\/9) assuming u is positive.\nAnswer: u**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34721545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h = 33*h + 24. Let m = -10 + 17. Let c = h - m. Solve 0*p = 2*p - 5*o + 5, o - 1 = c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**3 + 5\/4*y**4 + 0*y + 1\/6*y**6 + 11\/15*y**5 + 1\/3*y**2 - 3. What is j in f(j) = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*m + v, 0 = -5*m - 7*v + 2*v - 20. Let z = -5 - m. Suppose -2*a - z*a + 3*j + 22 = 0, 2 = -j. Solve -f - 31 = 2*i + a*f, -5*f - 19 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 14, g: 5}?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)\/h*(h\/(h*h**(6\/11)*h))\/h*h**(-5)*h**(-3) assuming h is positive.\nAnswer: h**(-138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -97, -1\/4, -4\/53?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 4, o: 1, p: 1, s: 4}. Give prob of picking 1 a and 1 p.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032)*3)\/(sqrt(4) + sqrt(16)\/(sqrt(4)*1)))**2 + sqrt(35)\/(sqrt(220)\/sqrt(11))*-2*-5.\nAnswer: 5*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 471976404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 28. Solve 4*w + 12 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*o + 7, -8*o + 4*v = -4*o + 16. Is (0 - 1)*(-719)\/(-3)*o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2*r - 3. Let s(t) = t**2 - 2*t - 3. What is -6*m(c) + 7*s(c)?\nAnswer: c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14067 (base 8) to base 16.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/7670 and 28\/2309555.\nAnswer: 60048430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-1680)\/(-25))\/7)\/(3\/10). Suppose -46 = -4*d - 5*w, 0 = 3*d - 5*d + 2*w + m. Calculate the least common multiple of 326 and d.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 7*f**2 + 2. Let q be n(7). What is the remainder when 58 is divided by (-2870)\/(-56) - q\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15989?\nAnswer: 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 + -15 - (-87 + 1). Let k = y - 55. Calculate the remainder when k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*s - 21583 - 12761. What is the greatest common factor of 265 and s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**3 + 7*n**2 + 19*n - 5. Let g(a) = -5*a**3 + 6*a**2 + 18*a - 4. What is 4*g(j) - 3*w(j)?\nAnswer: j**3 + 3*j**2 + 15*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1614.2237 times 0.5?\nAnswer: -807.11185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-1 + 4)*(-2)\/6. Let x be (-3 + 2 - (1 + k))*5. Let p be 0\/(-4)*1 + x. Solve 3*y - 3 = -4*s, p*y - 3*s - 2*s = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 + 175 = 3*k. Let l = k + 3715\/12. Find the common denominator of l and 113\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31984491739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3. Let k(x) = -2*x**3 + x**2 + 1. Let i(h) = -5*k(h) + l(h). Let p(j) = -6*j**3 + 6*j**2 + 6. Give -5*i(a) - 4*p(a).\nAnswer: -a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157759918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28175 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 736478?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 409*s - 442*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, m: 4, k: 1, g: 4, q: 1}. Give prob of picking 1 g and 3 b.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1336 - 1144. What is the remainder when 764 is divided by u?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2*27\/(-72). Let 3\/8*n**2 + w + 9\/8*n = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738 is divided by 850?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {z: 3, c: 1, w: 2, o: 2, g: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 291*y**3 - 29*y**2 - y + 3. What is the units digit of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (187\/6)\/(-11) - 2\/12. Let m be (-10)\/(-3) + 4\/(-12). Put m, p, -4\/9 in descending order.\nAnswer: m, -4\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 554364477*n - 1084767742.\nAnswer: 554364477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*b*o - 10330*b + 328137*o - 1 wrt b.\nAnswer: -30*o - 10330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = -15. Let x = 20 + m. What are the prime factors of (-55)\/(-1) + -15 + x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjdjjxxdjdjjajjdjja. Give prob of sequence jdxa.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 132 - 12 = 0. Suppose 96*y = 93*y + s. What is the remainder when 49 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from jojjjjjjjjjjjjjjjjj.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.44, -1889, 3\/4 in decreasing order.\nAnswer: 3\/4, -9.44, -1889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -470.462 - -22051.1309?\nAnswer: 21580.6689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24.523 and -41.\nAnswer: -16.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 8*d - 8. Let h be a(-6). Suppose -h*b = -30 - 150. What is the highest common divisor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 164 - 447 + 256.\nAnswer: 2*y - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(21)\/sqrt(7)*-2)**2 + 0 + sqrt(30)\/((sqrt(160) - (sqrt(160)*1 - sqrt(160))) + sqrt(10)) + -4.\nAnswer: sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 11. Factor -v**4 + 12*v**3 - 5*v**2 + d*v - 4 - 13*v**2 + 1 - 2*v**4.\nAnswer: -3*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**6*o**(-3)*((o*o*o**(-2\/5)*o*o)\/o)**(-30))**39 assuming o is positive.\nAnswer: o**(-2886)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 2*l**3 + l**4 + 4*l**3 + 2*l**2 + 2*l**2 in the form u + y*l**2 + v*l**3 + x*l**4 + t*l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-65)\/2*12\/(-15). Suppose 0 = 2*f - d - 247 - 164, -d + 213 = f. Calculate the greatest common factor of f and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53963 and 1813.\nAnswer: 13976417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.351 - 3.321. Let w = g + -16. Is w != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31399495 * -0.01.\nAnswer: 313994.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267397835?\nAnswer: 3, 5, 11, 7681199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*i + 2*i = -12, -2*i = 3*s - 8. Suppose 2*c = 4*t - 1628, -c + 1209 = s*t - 419. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 68 - m - 29 + 3*m. Let l be g(-14). Suppose -l*t = -1925 - 726. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1384)\/(-5536)*3\/((-9)\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 14*j + 25. Let y(g) = 3*g - 29. Let d be y(14). Let u be t(d). Suppose u + 6 = s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7655446 + 74?\nAnswer: -7655352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:53 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + x - 86, -4*x + 22 + 14 = f. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-11 + 13 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2861.\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -5*t. Let a(f) = f + 7. Let m be a(-6). Let z(i) = -i**2 + 7*i - 5. Let y be z(5). Solve -y*b = -n + m, -3*b + 3*n = -t - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 21*j**2 - 11*j - 11. Let a = -15 + 5. Let c be v(a). What is the remainder when 1 + (-273)\/(-2 + c) + 3 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z. Suppose z = -3*u + 56 + 10. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2063 is divided by 77.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 162579948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 4, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.50055 months in centuries?\nAnswer: 0.235417125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1714 + -947. Let x = -500 + d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 863214 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*v**4 + 350*v**3 + 10971*v wrt v.\nAnswer: -132*v**2 + 2100*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1. Let t(n) = n - 4. Let z = -14 + 13. Let l(h) = z*t(h) - 4*m(h). Let v(q) = -2*q**2. Give v(l(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13733264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(4928\/(-48))*-7.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n - 16. Let u be a(-9). Let g = u - 25. Suppose 2*j = g*j. Solve -2*o + j*l + 3*l = -13, 5*o - 2*l - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/7, -36, 0.3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 216, 200, 174, 138, 92, 36?\n\"Answer: -5*u**2 - u + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (220240\/880)\/(1\/11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-three quarters of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((6\/(-16))\/((-54)\/(-72)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8462349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -4, 1166?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -361706069*v**2 + 336892586*v.\nAnswer: -723412138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.1135 - -0.06.\nAnswer: 29.1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -4, -2, 2 in descending order.\nAnswer: 2, -2, -4, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21125)\/1625)\/((-3)\/6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337890 is divided by 168888?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1072, -2272, -3472, -4672, -5872?\n\"Answer: -1200*x + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5208745 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64375 - 40989. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 96. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -19. Let a be 0 - n - 224\/(-14). Suppose a + 10 = 3*f. What is the lowest common multiple of 1 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102807 smaller than 102757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 9*z - 5. List the prime factors of t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124483000 rounded to the nearest 1000000?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/12 + o**3\/3 + 3*o**2 + 22*o. Calculate the remainder when 118 is divided by u(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*w = -3*w + 7, -4*k + 2*w + 12 = 0. Let v = -2652\/7 - -378. Sort v, 0.3, k in ascending order.\nAnswer: v, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2188 + -411. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.856 less than 1056206?\nAnswer: 1056204.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3213 - 3214 = 0. Sort b, 0, 55 in ascending order.\nAnswer: b, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2*j**2 - 4*j + 2. Give p(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*i - r, -i = 19*r + 2*r + 84 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25160 and 5920?\nAnswer: 100640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 2, h: 1, n: 1, z: 1, c: 1}. Give prob of sequence sz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/6 - 3*g**3\/2 + 8253*g**2. Calculate h(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/14*(-3)\/9*-2.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10360 and 4550.\nAnswer: 673400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -187 - 78 + 20 - 5 - 11 - 3*p + 96*p**2 wrt p?\nAnswer: 192*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*9\/18)\/((1175\/(-2068))\/(-25))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = c. Find the second derivative of 3*z**c - 4*z**2 + z**2 - z**3 + z wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*c**4*l**3 - 1542*c**3*l**3 + 526800*l**3 wrt c?\nAnswer: 120*c**3*l**3 - 4626*c**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 10)\/(804\/72 + (-8 - 15\/5)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.3, -106\/5, 10.5, -5\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 635, 856, 1231, 1766, 2467?\n\"Answer: u**3 + 71*u**2 + u + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 67. Solve -5*z + 26 = s*w - 3, 18 = -w + 4*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1082c - -4?\nAnswer: -10828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 4 - 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.5, 7.39, 3\/5, 0, -3?\nAnswer: 7.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*l - 58, -3*l = 3*u - 95 - 4. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210101 (base 3) to base 2.\nAnswer: -1001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 21*y**2. Let f(p) be the second derivative of 3*p**4\/4 + 3*p**2\/2 - 1699*p. Calculate k(f(v)).\nAnswer: 1701*v**4 + 1134*v**2 + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -15969000 to the nearest 100000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - 5*x**2 + 3*x. Let c be d(-4). Let y = -158 - c. Calculate the highest common divisor of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**2 + 9*g. Let a(w) be the first derivative of w**3\/3 - w**2\/2 - 9. Calculate -9*a(i) - k(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/21 in -4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -743727774 divided by -3.\nAnswer: 247909258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + (-8 - -8) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4 + 7. Solve l = 2*x - 4, 5*x = 8*l - g*l + 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1756 - -1760. Let l be (-4)\/(-6)*(-36)\/(-12). Solve 5*s = -3*f + d - l, 3*s - 2 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - u + 0*u + (-2 + 2 + u)*(4 - 1 - 2) + u - u - 2*u + 2*u + 3 - 3 - 2*u + 0 + 0 + (0*u + 4*u - 6*u)*(-2 - 3 + 3).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/(-462)*253\/(-23))\/((-1)\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95 minus -12?\nAnswer: 12.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1 - (-12)\/1. Find the second derivative of 5*a + 18*a**4 - 35*a**4 + m*a**4 wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l + 9*l + 8*l)*(-3 - 5 - 9) - l + 3*l + 2*l)*(1 + 3 - 3)*(0 + 0 - l).\nAnswer: 234*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881283 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: How many minutes are there between 5:48 PM and 1:21 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/((-63)\/14*(-44)\/(-297)*36\/(-48))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18383.985 - -18384. What is the third biggest value in -0.3, l, -16\/3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 15 - 134 = -17 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 8*f + 6. Let t be u(2). Let b be (t\/(-6))\/((-4)\/(-12)) + 3412. Let x = -1972 + b. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 34 - 14 = 0. Let i be (44\/8)\/(z\/4). Sort -1, 2\/5, i.\nAnswer: i, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by 4.\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2106 = 3*u. Is 31 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 95*c**2 - 1388*c - 225. What is the remainder when q(108) is divided by 1503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scsncscesececees. Give prob of picking 2 e and 1 c.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -1.2. Let n = 0.3 - g. Let l = -176 + 176.4. What is the smallest value in l, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -113*k + 11. Let i(t) = 56*t - 5. Let z(a) = -5*i(a) - 3*o(a). Let c be z(2). Calculate the greatest common factor of 44 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45048 is divided by 457?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4270186 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -27 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-15))\/(286\/66).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 642305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(10) + (sqrt(10) - sqrt(1210)*3) + sqrt(10)))\/(4*sqrt(288)*-4).\nAnswer: sqrt(3)\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/39, 0.3, 15, 5?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*u**3 + 111*u**3 + 100*u**3 + 101*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4420 = -16*x - 28*x. Calculate the remainder when 180 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.05 (c) 0.5 (d) 6 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1304, -1227, -1150, -1073, -996?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*4875.\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 849996 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 3*w - 23. Solve 3*j + 27 = 5*y, 4*y + j = 6*j + w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 d when four letters picked without replacement from zhfhzzhdjzj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-168) - (10\/204 + 0). Let a = 11 + -16. Are a and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.5 times 4?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4651104, 4651106, 4651108?\n\"Answer: 2*m + 4651102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 3*k - 22, 23 = -5*s - 4*k - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = c + 7, 7*n + 5*c = 8*n - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 15. What is c(22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*n - 61*n - 46*n to the form x*n + h and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l**3 - 8*l + 9. Let c be m(1). What is the biggest value in 8, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0473 - 0.8193. Let d = 3.772 + g. Which is smaller: d or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94528 = -77440*c + 75963*c for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 262929528.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + (4 - 1))\/1. Let k be 259\/6 - 1\/6. Suppose g = 4*f - 17 - k. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**3 - 35*y**2 - 4*y - 20. Let u(v) = v**3 - 3*v**2 - v. Let h(a) = -6*u(a) + x(a). Determine h(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 6:14 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from iiiuuiiiui?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y = -15. Let r be (y - -16)\/(1\/(-1)). Let o = -8 - r. Solve m + 1 = o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/60 + 43*m**3\/6 + 13*m**2\/2 - 2*m. Let p(b) be the first derivative of s(b). Let v(n) = -2*n. Calculate v(p(j)).\nAnswer: -2*j**2 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8600906.\nAnswer: 2, 47, 91499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 12481*l**2 - 13007496*l - 3259391760 = 0. What is l?\nAnswer: -492, 13465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 5, 201?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from eerreroeoor.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*t - l - 439, -4*t + 1749 = 3*l. Suppose 8977 + t = 5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:12 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 263*q + 14122. What is c(76)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round 1380400 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1055*c - 486*c - 315*c)*(0*c**2 - 5*c**2 + 4*c**2).\nAnswer: 1856*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 9*w - 2. Let x be i(8). Let f be -2*x\/(-9)*-3. Sort 1, f, -2 in ascending order.\nAnswer: f, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 12*c - 60. Suppose 0 = -n - 4*s - 9, n + 2*s - 1 = -c. Sort -3, 4, n, 3.\nAnswer: -3, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 4*u - 34 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(324) - sqrt(324) - sqrt(324))\/sqrt(9) - sqrt(36))\/((sqrt(176) - sqrt(44))\/sqrt(11)))\/((sqrt(192) - sqrt(3))*-2 + sqrt(192)*-2).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 2*c - 2*c + 3*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/18)\/(x\/x**(-2\/7))*(x*(x*x*x*x*x*(x**(-20)*x)\/x)\/x)\/((x\/(x*x*x\/(x*x**1)*x*x))\/x))**(-4) assuming x is positive.\nAnswer: x**(3334\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y. Let q(o) be the first derivative of 0*o - 4 + 1\/2*o**2. Determine q(g(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 + 15 + -21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/2)\/((-12)\/(-20)). Suppose 3*p + 0*h + 3 = -3*h, j = p - 2*h. Suppose 3*z - 4 = -p. Sort z, -4, -1 in increasing order.\nAnswer: -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*g + 57*g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, s: 7, p: 5}. What is prob of sequence ps?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1474\/11*(0 + 3\/1). Let p = n + 70. Does 81 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/11 + 74\/11*r**2 - 78\/11*r.\nAnswer: 2*(r - 1)*(37*r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + 12*l + 4 + 5*l**2 - 16*l + l**3 - 3 as s*l**3 + r*l**2 + f + k*l**4 + o*l and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 u, and 1 k when three letters picked without replacement from mwmmkmkmuumpmk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1414\/(-30) + (-8)\/(-60). Let m = -65 + 114. Let g = m + l. Solve 2*d + 5*r = 20, -g*d - 4 + 6 = -4*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-66) - 31\/11. Let r(d) = -59*d - 169. Let v be r(g). Solve -v*y - y - 18 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284952 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*r**2 + 155*r**2 + 187*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6010542 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 15?\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -38.08. Let f = 0.08 + h. What is the second biggest value in 0.01, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1928 + 1948. What is the smallest common multiple of c and 2 - (2 + -2*5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -40. Let t(v) = -v**3 + 3*v**2 + 14*v + 131. What is the hundreds digit of t(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10058818391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12860 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/3))\/f)**(1\/36)*(f*f**(-2\/3)*f)\/f*f**(-3) assuming f is positive.\nAnswer: f**(-145\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x)**(5\/2)\/((x**1*x)\/((x**(-2\/5)\/x)\/x)) assuming x is positive.\nAnswer: x**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02352622984 rounded to 5 decimal places?\nAnswer: 0.02353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + (sqrt(1100) + -1)**2 + -5 + -3 + -1*sqrt(1100).\nAnswer: -20*sqrt(11) + 1093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -415 - -685. Let i be (1\/(-5)*6)\/((-108)\/q). Solve -g - 15 = i*g - 5*t, t + 26 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -79. Suppose d + 5 = 5*l - 6, -1 = d. Put 5, w, 0, l in decreasing order.\nAnswer: 5, l, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*f + 1207, 2*f - 53 - 433 = -2*x. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-12))\/(((-11)\/(1782\/168))\/((-380)\/(-570)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*k - 18 - 25 = 0, -z + 3 = 2*k for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkppaaaaaaaahapaaph. What is prob of picking 1 a and 1 h?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w - 482. Let u be l(37). Which is the closest to u? (a) 0.4 (b) 224 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 1\/((-2)\/8). Is ((-8)\/10)\/(o\/50) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3766 rounded to two dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 59*o - 289*o + 74*o + 68*o + 75*o. Let u(g) = -15*g + 12. Let j(s) = 6*s - 5. Let b(w) = 12*j(w) + 5*u(w). What is i(b(q))?\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251882?\nAnswer: 2, 3, 97, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 378191 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3204 and 97862442?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 572 - 407. List the prime factors of b.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 9*w**2 + 9*w - 6. Let a be z(-10). Factor -3*q + 5*q**2 - 4*q + a + q - 3*q**2.\nAnswer: 2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11339 - 8039 = 550*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*48.85432\nAnswer: -34.198024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 at most -383713\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1268133\/164690 + 2\/16469. What is the common denominator of -139\/18 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 + 2 - 6) - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -7\/2*c**3 - 52*c + 0*c**2 + 0 - 5\/4*c**4. Factor q(s).\nAnswer: -3*s*(5*s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -37, -132, -317, -622?\n\"Answer: -5*y**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 11}. What is prob of sequence rr?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 16\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(60)\/sqrt(5))\/(6*sqrt(16)) + 4.\nAnswer: -sqrt(3)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/((-308)\/(-132)*3\/7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 97. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7534 - -16805. What are the prime factors of g?\nAnswer: 3, 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*a**2 + 72*a**2 + 149*a**2 - 95*a**2.\nAnswer: -110*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9028562?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 0*j)*(0*j + 4*j - j)*(392 + 67 + 42).\nAnswer: 1503*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/296620 and 23\/40.\nAnswer: 593240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 431674211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4.6. Let h = 0.06 + -26.06. Let d = 22 + h. What is the nearest to 2\/3 in d, w, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppppppxxppppppppp.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 844578*q = 0. What is q?\nAnswer: 0, 844578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 3*w**2 - 3*w - 6. Let a be y(-3). Suppose -a*j = -55 + 412. Let o = -97 - j. Calculate the highest common factor of o and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -7.71\nAnswer: 7.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4662, 4665, 4670, 4677, 4686, 4697?\nAnswer: 4710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372 + 273 + (4 - 16).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000247514 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (465\/124)\/(6\/16). Let f be 3 - (-444)\/(-140) - (-6)\/l. Which is the nearest to 0? (a) f (b) -0.2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-2065)\/(-236)*(-12)\/(-10))*3*-2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -28. Suppose -4*r - 127 = -4*j - 9*r, a*r = -3*j + 99. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -1313*q**4\/3 + 9701*q**3\/6 + 3541*q. What is the second derivative of k(p) wrt p?\nAnswer: -10504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 24304?\nAnswer: 24303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 111753095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -51. Let x be 0 + 6\/m - (1129998 + 0). What is x rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 3 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y - 4. Let w be m(2). Let k = w - 42. Suppose -5*d - 26 = 3*z, 4*z + 3*d + 11 + 9 = 0. Is z bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 - (-5 + -2). Suppose w - 10 = -2*x + x, -x + y = 2*w. Let u = 59 - 20. Calculate the greatest common factor of x and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/66 + 7*p**3\/33 - 6*p**2\/11 + 34*p - 1. Factor v(l).\nAnswer: -2*(l - 6)*(l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (66 - 155 - 89)*(0*i + i + i)*((-3 + 3 + 1)*(-2*i + 0 + 0) - 1 + 4 - 2*i - 1) as v*i**2 + m + z*i and give v.\nAnswer: 1424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 12*n - 259. Let c(b) = 2*b. Give -6*c(l) - o(l).\nAnswer: 2*l**3 + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28\/9 (b) -66 (c) 1 (d) 0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 7*o + 46, 3*w = -4*o - 6165921 + 6165952 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58240 = -39*u - 26*u - 63*u. What is the smallest common multiple of 65 and u?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-16))\/((-8175)\/(-872)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2313*c - 1142*c + 5325*c = 415744 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158561 + 302*s + 158561)*((-1 + 0 + 3)*(-2 + 5 + 0) - 3 - 2 + 4).\nAnswer: 1510*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50651149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 2 (b) -1 (c) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - k - k - 22 = 14*v, 0 = 15*k - 12 - 48 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 180376560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + h. Let x be w(-2). Suppose 5*g - 175 = -x. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -2 (b) 0 (c) 0.2 (d) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = -4*t. Suppose -3*k + t*k = 4. Let y be 1 + 4 + k\/4. Solve -4 = -2*u, 2*u + 4 = -y*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*i + 31, -20*i - 3*x = -16*i + 37 - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -891a7a (base 11) to base 12.\nAnswer: -587471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -14 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 173\/3. Let x = 25 - -17. Let k = 41.9 - x. Which is the nearest to q? (a) 0.3 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + 0*w**4 + w**4)*(1829*w - 1628*w - 3868*w).\nAnswer: -3667*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34787378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 4*p**4 + 15\/2*p**3 - 4*p**2 + 1\/2*p**5 - 8*p = 0. Calculate p.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 75 + -25 + 6 + -12 + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2 - -7 - (-303 + 305)) + 33\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178209412 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b - 10 = 46*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 4*g - 8. Determine l(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 196985400 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 7. Let w = -0.08 + 0.28. Which is the closest to -2\/7? (a) -5 (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 472.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 6865446.8.\nAnswer: 6865446.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -61249 at most -61262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 30 = -32. Solve 18 = -t*y + 5*l, y - l = 3*l - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -17, -163, -539, -1235, -2341, -3947?\n\"Answer: -15*a**3 + 20*a**2 + 39*a - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4531 - 0.6531. Is x at least -0.349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 j when three letters picked without replacement from wowjowwo.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -4*d + 1 - 4\/3*d**3 + 0*d**2. Differentiate p(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let m = 18 + -22. What is the biggest value in m, -1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**3 - 13*h**2 + 80*h. What is the smallest common multiple of j(6) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3. Let q be (0 + -14)\/(4 + -3). Let a(i) = -3*i**3. Suppose 74 = 20*v - 6. Calculate q*n(g) + v*a(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31878\/(-2530) + (-11)\/(-1).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -118 - -106 - (-12 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:36 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vddd when four letters picked without replacement from {e: 6, s: 5, d: 6, v: 1, m: 1, o: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/(-1755) + (-116)\/(-30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:02 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 12*a = -9*a + 1, 10 = t - 4*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**2\/7 - 492*o\/7 + 486\/7.\nAnswer: 6*(o - 81)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3704 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*z + 28. Sort 11, 5, z.\nAnswer: z, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -4*t**2 + 41 + 0*t + 1\/3*t**3 - 1\/4*t**4 + 8\/5*t**5. Find the third derivative of a(k) wrt k.\nAnswer: 192*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 17*j**2 + j - 14. Let n be z(-17). Let x be (((-282)\/n)\/3 - 3)*6. Is x not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 - ((-6 - 4 - -1) + 3)) - -10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16745050 and 49?\nAnswer: 117215350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2. Let f(q) = -1820861*q + 6. Give f(h(o)).\nAnswer: -7283444*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.8 less than 3?\nAnswer: -99.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1008 by 9447.\nAnswer: -336\/3149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.81 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l - 8*l = -1232 - 168 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-20))\/(5\/75). Solve 3*c = 9, 0*b - y*b = 5*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.002 + -0.678. Let t = i + 1.18. Which is the closest to 2\/7? (a) 4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s)**(-4\/11)*(s*s\/s**0)**(-39)*((s**3)**28)**(-2\/3) assuming s is positive.\nAnswer: s**(-1470\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 246010354297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -688, -1893, -4138, -7771, -13140, -20593, -30478?\nAnswer: -43143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.14 - 17.94. Which is smaller: b or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/4 + 25\/4 = 0. Calculate x.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-778)\/13615)\/(2\/10)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90478422245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a + 1841 - 1736 = 0. Sort a, -4\/7, 2\/25, 80 in descending order.\nAnswer: 80, 2\/25, -4\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-13)\/5)*-5. Is 2 + d\/((-9)\/(-3)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 25*r**2 + 2*r + 20. Let w be d(25). What is the highest common divisor of w and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**3*u**3 + 440*q**3*u**2 - 13*q**3*u - 17*q**2*u + 5855*q*u**3 wrt q.\nAnswer: -18*u**3 + 2640*u**2 - 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -245*n**2. Let r(p) = -34*p - 2. Let k(x) = -2205*x - 130. Let o(l) = 2*k(l) - 130*r(l). Determine o(z(b)).\nAnswer: -2450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b**2 + 5*b + 1586. Calculate y(-22).\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34204 is divided by 3186?\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1\/(46 - 4)). Let f = j + 86. Solve -f*q + 0*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-2)\/3 + (-101)\/(-3)). Is 32 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + m**3 + 0*m + 2*m**2 - 5 + 0*m + 3*m. What is the tens digit of h(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*1*-4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**6\/120 - 13*j**4\/24 - 3*j**3 + 281*j**2 + j - 7. What is g(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16030738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1249 * 4096.\nAnswer: -5115904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/21 + 4\/7. Let p = 3\/49 + -113\/245. What is the closest to p in 5, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from invem. Give prob of sequence ni.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1142 + -1147. What is the closest to h in 4, -2\/3, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**3 + 2*u**2 + 2*u - 2. Let x = 16 + -12. Let f = 1430 - 1360. Let d(r) = -119*r**3 - 35*r**2 - 35*r + 35. What is f*o(q) + x*d(q)?\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42980, 42951, 42922, 42893, 42864?\nAnswer: 42835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.511862885 rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12886050, 12886049, 12886046, 12886041?\n\"Answer: -a**2 + 2*a + 12886049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 11 = -4*i. Suppose -3*d - i = 0, -2*d + 4*d = 2*h - 10. Calculate the lowest common multiple of -2*(36\/(-8) + -1) and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeeeveeevveeeeeeve?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1528 + -1522. Let i = 18\/155 - -433\/2945. Which is bigger: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 67 - 65 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**6 - 8*w**5 - 494*w**4 + 85347*w**2.\nAnswer: -120*w**3 - 480*w**2 - 11856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -2*w + 10*w. Let a be (4\/6)\/(w\/21). What is the tens digit of (a - 161)*9\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 80010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (0 - -4) + (3 + 2 - -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5335276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 251 = 5*m, -h - 2*m = 5 - 259. Let g = 657 - h. Suppose -2*k - 5*s = -168, -3*s = -k + 6*k - g. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2 + 0\/(-1)). Let z(b) = -b**3 + 5*b**2 - 3*b + 1. Let h be z(4). Suppose 0 = 2*f - h*t - 23, 0 = -f + 5*t + 12 + 12. Is d at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**5 - 3*i**4 + 8*i**3 + 6*i**2 + 14*i - 6. Let t(f) = 2*f**5 + 6*f**4 - 17*f**3 - 11*f**2 - 29*f + 13. Let s(q) = -6*t(q) - 13*w(q). Factor s(a).\nAnswer: a*(a - 2)*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 44*m**3 - 219*m**2 - 3*m + 231*m**2 - m in the form w*m + v*m**2 + f + s*m**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w - 22*w + 5*w to l + h*w and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 - -4. Let v = -5 - -4.8. Let s = 0 - 0.2. What is the closest to s in v, -2\/13, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 109\/4 - (-1)\/(-4). What is the greatest common divisor of 189 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = -163*v + 171*v. Let g = 11 + 9. Let d = v + g. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 + 7 + 20)\/(((-7)\/(-8))\/7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -65380 divided by 934\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/2*-8 + -2. Let y be (5\/(-4))\/(1\/4). Let s = y - g. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = i - 4*r - 6, -19 = 2*i + r. What are the prime factors of (-213)\/(i\/(-140)*-6)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1 + 0*o**3 + 4*o + 7*o**2 - 2 + o**3. Let r(i) = -i**3 - i**2 - i - 1. Let v(p) = m(p) + 2*r(p). Calculate v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -16)*(-3)\/(-1). Let f = z - 16. What is the remainder when 32 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76267087 rounded to the nearest 100000?\nAnswer: 76300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrr when three letters picked without replacement from {r: 18, w: 2}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 17*v**3)*(v - v + v)*(1 - 5 + 3).\nAnswer: 17*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 18 = -3*r. Let t = r + -2. Suppose 4*x - 12 = -5*b, x - t*b + 6 = -12. Put -4, 1, x in descending order.\nAnswer: 1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 19*u - 175. Let m be (168\/(-91) - -2) + (-1380)\/(-156). Determine h(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/18*(-18)\/8*(-516)\/3010*7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 5*x - 2*s, 3*x - 42 = s + 55. Let l be (1\/(-4))\/(x\/124). Which is smaller: -1\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20656094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -774702, -3098769, -6972208, -12395013, -19367178, -27888697, -37959564, -49579773?\nAnswer: -62749318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/4, -2, 2\/17, -1\/3, 0.5 in descending order.\nAnswer: 0.5, 2\/17, -1\/3, -2, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * -3.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5254 or -1826?\nAnswer: -1826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + u = 575, 3*j - 3*u - 518 = -191. Let z be (-2)\/3*j\/152. Does 4\/53 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**3\/3 - 7*v**2\/2 + 9*v + 14. Let q = -8 + 2. What is t(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)\/((o*o**(-20))\/o) assuming o is positive.\nAnswer: o**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(sqrt(384) + 3*sqrt(384)))\/((sqrt(4) - (sqrt(4) - -1*sqrt(16)\/sqrt(4))) + sqrt(16)\/(sqrt(4)*-2))*-5)**2.\nAnswer: 175\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**3 + 1426*z**2 - 777*z - 22488. Determine i(-357).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, t: 8, n: 2}. What is prob of sequence un?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -10*f**2 + 10*f**5 + 12*f**5 - 27*f**5 + 5*f + 10*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 + 2*y**2 - 17*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1 (b) -77 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Let t be (16\/(-20))\/(d\/155). Calculate the remainder when 1\/1 - -1 - t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + x - 1. Suppose 0 = -a + 3*n - 10, -4*a - 2 - 68 = 3*n. Let f = -18 - a. Let q(l) = -l**2 + l. What is f*q(m) + b(m)?\nAnswer: -m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 884*c + 2657. What is l(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 2*j + 16 - 13*j - 63 + 2*j**2 - 3*j**2. What is o(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 4, 776\/19, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {u: 2, h: 2, b: 1, y: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 divided by 128755.\nAnswer: 476\/128755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 * -59.\nAnswer: 3835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.78.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 3. Let t = 96 + -54. Let r = t + -39. Let n(o) = -2*o**2 + 8. What is r*n(w) - 8*x(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04527 - 0.04527. What is the second biggest value in -2, t, -0.41, -3?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -15, -36, -65, -102, -147?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -18.5. Let b = 14 + p. What is the smallest value in 0.4, 2, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19175.\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.6 - 8.651. Let c = -0.0510059 - q. Round c to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5372 = 5*z, 4*z - 1228 = 4*t + 3064. What is the smallest common multiple of z and 120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19\/49 + 1105\/2597. Is 1 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 95182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873017 a multiple of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (4*5)\/((-1324)\/(-1655)))\/(2\/218)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-692)\/21 + 9\/14*338\/(-4563).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21380266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 0 (c) 3 (d) -10081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-5) + 5*(-21)\/175. Suppose 3*m + q = 5*l, 3*l - m - 13 = -2*m. Solve l*z = 2*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-36))\/(-11)*6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 66.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 41 = -5*r, -2*p - 3*r = -r - 6. Let b = 19 - p. What is the remainder when (2\/1 - 5) + b is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/30*-6 + 994\/10. Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122 - 0.06.\nAnswer: 121.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1547, -2697, -3847?\n\"Answer: -1150*i - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 616, 1309, 2002, 2695, 3388?\n\"Answer: 693*h - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.3 - 0.7. Let o = 55 + -45. Let l = o + u. Which is the smallest value? (a) 4\/3 (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*c + 1, -4*c + 0 = m - 1. What is the tens digit of (m - -1)*245\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*2.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -868798, -3475178, -7819144, -13900696, -21719834?\nAnswer: -31276558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and 0.1175?\nAnswer: 5.8825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20349305 is divided by 6783094?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 4*a**2 - 2*a - 2. Let l(g) = 13*g**3 - 13*g**2 + 7*g + 7. Give -4*l(f) - 14*u(f).\nAnswer: 4*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*u + 25 = 0, 2*w - u = -5*u - 18. Let j = -66996.3 - -66996. Which is the nearest to w? (a) j (b) -7\/5 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -250606 (b) 1\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82454, -82511, -82572, -82637, -82706, -82779?\nAnswer: -82856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 385911 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1, -29, 8, -2 in decreasing order.\nAnswer: 8, 1, -1, -2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43120)\/58520)\/((-7)\/2).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/10)\/((-50)\/(-125)). Solve d*g = -g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2\/9 + 304*a\/3 - 1832\/9 = 0.\nAnswer: -458, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 387139 to the power of 1\/2, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 385\/735 + (-4)\/6. Let y = 9 - 10.6. Let o = y + -0.4. Which is the nearest to 1? (a) o (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 18*a + 10. Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 36 = -7*b, 424*b = 848*b - 422*b - 3*i - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) - (-2440)\/(-45). Let w = h + 57. What is the third derivative of -3*b**2 + 11*b**3 - 3*b**2 - 18*b**2 + 14*b**w wrt b?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -794285*g**3*v**3 - 3*g**3*v**2 + 72*g**3*v + 10*g*v**2 + 5*v**2 wrt v?\nAnswer: -4765710*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26432002 (base 7) in base 4?\nAnswer: 21100303003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6d4a (base 16) to base 9.\nAnswer: 1251324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101101011001011001 (base 2) to base 4\nAnswer: 231121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000627 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -15. Let j(l) = -14*l**3 - 17*l**2 + 26*l + 6. Let a(m) = 5*m**3 + 6*m**2 - 9*m - 2. Let f(s) = -11*a(s) - 4*j(s). Give f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*o + 1269, -3*r - 7*o + 6*o + 1257 = 0. What is the greatest common factor of 60 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 300020?\nAnswer: 300020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*o + 9. What is the remainder when 17 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:14 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130 - -26?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**4*t + 2*s**4 - 694367*s**3*t - 34*s**2*t - 311*s**2 - 2*s - t wrt s.\nAnswer: 120*s*t + 48*s - 4166202*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/4 - 7*m**3\/3 - 9*m**2\/2 + 8*m + 1. Let p be f(8). Solve -4*w + 2*w + 8 = p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 - 330\/10. Let i = s - -29. Does 23 divide i\/(-8) + (-2754)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*b = b + 385, 5*b + 97 - 117 = -114 - 311 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 735 and 784686.\nAnswer: 3923430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/5*5\/2. Suppose c*k = -16 + 73. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43778.96 times 16\nAnswer: -700463.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -1186*x**7\/7 - 142*x**3 + 2*x**2 + 5678*x. What is the second derivative of s(o) wrt o?\nAnswer: -142320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100202120 (base 3) to base 14.\nAnswer: 9aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)\/g)\/g)**49 assuming g is positive.\nAnswer: g**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2598777 and 2322.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 28*w**5\/5 + 2*w**3\/3 + 21*w**2 - 79. Find the second derivative of o(l) wrt l.\nAnswer: 336*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35253 + 113670 = 9*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13839851660 to the nearest 1000000.\nAnswer: -13840000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 8*y - 6 + 34 + 0*y as w*y + x and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/9000 and -37\/344000.\nAnswer: 3096000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4467687?\nAnswer: 3, 7, 79, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 12:08 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 801652 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 107*f - 650. Let o be c(7). Is 8181 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604681211?\nAnswer: 3, 7, 76413391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 108192.\nAnswer: -1\/6762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 6*t**2 - t - 2. Let y be x(-6). Let u = 58 - 40. Let h = u - y. What is the remainder when h is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2. Let g = 119 - 120. Let r(b) = 11*b**2 - b + 1. Let d(u) = u - 1. Let x(q) = g*r(q) - d(q). What is x(h(f))?\nAnswer: -44*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p**(1\/4)\/p)))\/(p*p**(-10\/9)*p))\/(p**2)**38 assuming p is positive.\nAnswer: p**(-2759\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 2. Let s = 1.2 - o. Let l be (-3 - -3)*(-2)\/(-4). Put s, l, 5 in descending order.\nAnswer: 5, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 1, 0, 8.3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4869641 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42588691 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79952.06ml to litres.\nAnswer: 79.95206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.8 from 772734721169.\nAnswer: 772734721177.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5 - 4. Suppose 0*q + 42 = 2*w + x*q, 2*q = 0. What is the remainder when 61 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -48370059\nAnswer: -241850295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (112\/(-70))\/((-2)\/5). Let b be 9637 + 1\/h*6*-2. Let c = b + -14384. What is c rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a - 7?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3*(-45)\/10. Let i be (3\/2)\/(v\/(-48)). Let t be (-3 - -2)*i\/(-4). Is t bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(88) + (6*sqrt(88)*-1 - sqrt(88)))*2)\/(sqrt(128) - 2*sqrt(128)*1).\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -21*q. Let n(g) be the first derivative of -g**3\/3 + 8. Give r(n(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llltuululuu. What is prob of picking 1 l and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-13 - (43 + -81)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 9:26 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.1 - 19.1. Let u = -10.7 + 1.7. What is the smallest value in 2, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 51.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 25. Let d be (-6)\/8*(-24)\/o. Factor 2\/7*v**4 - 2\/7*v**d + 0*v**3 + 0 + 0*v.\nAnswer: 2*v**2*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -303*t + 2. Let w(z) = 1738*z - 1741*z + 4 - 4. Determine w(y(l)).\nAnswer: 909*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 826 - 826.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + ((-2)\/4 - (-70)\/(-20)). Let o be (-1)\/((3\/18)\/1). Let v be ((-4)\/s)\/(o\/(-81)). Is v less than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -3 (c) 0.6 (d) -1040\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54928 divided by -54928?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r. Let i(t) = -20*t**2 + 2*t - 22. Determine i(q(k)).\nAnswer: -2880*k**2 + 24*k - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 445508506 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1592, 7160, 16440, 29432, 46136, 66552?\n\"Answer: 1856*j**2 - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18751, -18671, -18625, -18685, -18923, -19411?\n\"Answer: -12*w**3 + 55*w**2 - w - 18793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -8 + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3095 - 52616\/17. What is the second biggest value in -1\/2, -0.3, k, -1\/11, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -0.11, 2\/19, 0.1, 3 in descending order.\nAnswer: 34, 3, 2\/19, 0.1, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1088*c + 1089*c - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(270\/550))\/(135\/486)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 45. Let l be w(7). Let p(h) be the third derivative of 0*h + 1\/24*h**4 - 1\/3*h**3 - 3*h**2 + 0. Let r(i) = 2*i - 3. Determine l*r(z) - 7*p(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 15) in base 5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30302 is divided by 5941?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -5, -0.06, -4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11669653553432898 - g**3 + 11669653553432897.\nAnswer: -g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 6*z**2 + 6*z + 1. Let r(h) = h**3 + 7*h**2 - 6*h. Let j(m) = 2*f(m) + 3*r(m). Let n be j(7). Let y = -31 + n. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*o**2*z + 3*h*o*z**2 - 14*h*p*z + o**2*p*z**2 + 10*o*p*z**2 - 2*z**2 with respect to h.\nAnswer: -2*o**2*z + 3*o*z**2 - 14*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 161\/(-35) + 0 - 6\/15. Let f be ((-2)\/(-3))\/(8\/(-9)). Which is the second biggest value? (a) u (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8931 + 8738. What is the second biggest value in -5, -1\/4, o, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/h**(1\/11))**(2\/117)*((h**(-1)*h)**7)**(1\/19) assuming h is positive.\nAnswer: h**(34\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158.8 + -175. Let k = i + 16.5. Which is the smallest value? (a) -14 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 - 7*w**2 - 9*w**2 - 9*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i**5 + 250*i**2 + 0*i**4 - 7\/20*i**6 + 0*i - 149\/6*i**3 + 0. What is the derivative of x(j) wrt j?\nAnswer: -126*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1514715 and -49?\nAnswer: 1514715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atamqjb. What is prob of sequence mbja?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109867?\nAnswer: 181, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10111001011110010 (base 2) to base 14\nAnswer: 26870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 2541 = -9045. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476 + 394 + 493 - x**2 - 9*x**2 - 1363.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 859 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 12:28 PM and 1:01 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 54, -0.03, 1, -21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129183 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -12*r - 35. Let p be m(-9). Suppose c + p = 2*c + o, 0 = -3*c + 2*o + 244. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -26 - (5 + 0)) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 140989, 141580, 142557, 143914, 145645, 147744, 150205?\n\"Answer: -s**3 + 199*s**2 + s + 140790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17523747 to the power of 1\/2, to the nearest integer?\nAnswer: 4186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + a**3 + 0 + 3 + 3*a**3 - 3*a**3 - 4*a**3 + (-2*a + 5*a + 3*a)*(4*a**2 + 8 - 8) - 5*a**3 + a**3 + 2*a**3.\nAnswer: 19*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i + 336 = -46*i + 3314 + 641 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - (-1)\/((-5)\/5060*-4).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -27483?\nAnswer: -27483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*-1*sqrt(99))*4 - 6*-2*sqrt(396)*2*-6.\nAnswer: -888*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trrvrtrrte. Give prob of sequence rt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-180))\/((((-336)\/(-60))\/14)\/1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 10*a + 85 = 0. Let i be (a\/(-34))\/(5\/3673). Let b = i + 364. Calculate the common denominator of b and -41\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + (-1)\/((-3)\/(-12)))*-409. Let w = 6081 + s. Suppose -i + 1316 = -4*d + 4872, -5*d = 4*i - w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11441 - 11321.74. Let j = -119 + c. What is the nearest to j in -2, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5664 and 132096.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 23*k + 5*k. Let z be j(1). Let y = z - 17. What is the greatest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*k - 47. Let p = k + 70. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1 + 4 - 3*d**3 + 4*d**3 - 2*d**2. Let y(z) = -2*z**3 + 3*z**2 - 4. Let s = -238 - -365. Let b = -120 + s. What is b*p(m) + 5*y(m)?\nAnswer: -3*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.81 and -5.\nAnswer: 64.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10478527.\nAnswer: 31, 338017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -271, -279, -291, -307, -327, -351, -379?\n\"Answer: -2*d**2 - 2*d - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/((l\/((l*l\/l**(2\/29))\/l)*l)\/l))\/l)\/l))**(5\/9)*(l\/((l**(-2\/3)*l)\/l))**(2\/5) assuming l is positive.\nAnswer: l**(158\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + p + 16. Let k be (6\/p - 2)*0. Is k greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010101101001 (base 2) to base 3.\nAnswer: -2222120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309356?\nAnswer: 2, 77339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2 + 1388*r + 240818 = 0. Calculate r.\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*a*b**2*x - 26*a*b*c + 11*a*b - 8*a*c*x + 1686*b**2*c - 2*b**2 + 4*b*x - 2*b wrt c.\nAnswer: -26*a*b - 8*a*x + 1686*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3641?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = -10*l + 96. Is l <= 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -1390?\nAnswer: 9\/1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*l**2 + 3 + 3*l**5 - 5*l**5 + 16*l**3 + 58*l**2 - 12*l**3 wrt l?\nAnswer: -120*l**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12157486 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7599572*l**2 + 7599546*l**2 - 1.\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -3*j**5\/20 - 643*j**4\/4 - 1505*j**3\/3 + 1994*j. Find the second derivative of b(g) wrt g.\nAnswer: -18*g - 3858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-10)\/((-5)\/(-2) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454803227?\nAnswer: 3, 67, 804203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -11*g**2\/2 - g - 1. What are the prime factors of w(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 5*f + 1. Let b be o(7). What is the least common multiple of ((-12)\/b)\/(6\/(-150)) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wldl when four letters picked without replacement from dwll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 5*m**4\/4 + m**3\/3 - m**2\/2 - 2. Let j be v(1). Suppose 6272 + 1133 = j*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (360\/240)\/((-2)\/(-12956))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, r: 2, n: 6, c: 2}. What is prob of picking 2 r, 1 n, and 1 c?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqlqq. What is prob of sequence qlql?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343632 and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 238 = 318 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -565354*h**3 - h - 3292408.\nAnswer: -1696062*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**3 + 13*s**4 - 17*s**5 + 2*s**5 - 23*s**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 19 = -5*s, -1318 + 1324 = 3*a - 2*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/120*15\/(-35))\/((-3)\/3).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 3*m**2 - 3*m**2)*(49*m + 50*m - 79*m)*(4 - 2 + 0).\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose g*s - 7 = 3. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 5*o**4\/24 + 7*o**3\/6 - 2070*o**2. Determine n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 401, 906, 1611, 2516, 3621, 4926?\nAnswer: 6431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 24.0003. Round q to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:08 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2458420 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:44 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 8*q. Suppose -j + 2 = -q*j - b, b + 26 = 5*j. Let d(f) = -7*f - f**2 - 4*f**2 - f + 7 + f**3. Give d(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:22 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0\/(-12)) + 1 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215 + 218. Let f = 150 + -93. What is the greatest common divisor of f and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 716, 1580, 2786, 4334, 6224?\nAnswer: 8456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j, 368073 - 86214 = 3*m - 3*j. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 10*i**2 + 20*i + 1. Let m(f) = f**3 - 25*f**2 + f - 32. Let d be m(25). What is the lowest common multiple of c(d) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/63*3*(-45)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6)\/(m\/(m\/(m*m*m*m**(4\/13)*m)*m*m*m))*(m\/m**(3\/8))\/(m\/(m*m*(m**(-22)*m)\/m)) assuming m is positive.\nAnswer: m**(-2879\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/10)\/(((-35)\/125)\/7). Let b be 5*(-8)\/m - 2. Are b and 4\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 159 = -7*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149200492?\nAnswer: 2, 11, 26118193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26026814.\nAnswer: 2, 11, 47, 25171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37\/168 + -2\/21. Let v = 3.6 + 0.4. Which is the nearest to 1? (a) y (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 6*k - 2*k - 3871, -k = -4*y + 3080. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 994 + -116. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - (-3)\/2) + 1\/(1\/(-12)). Let u = 0.7 + -0.3. Which is the biggest value? (a) h (b) -7 (c) u (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q + 23. Let m(t) = -3*t - 11. Let s(h) = 4*a(h) + 9*m(h). What is s(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b**2 - 11*b - 11. Let r(p) = -3*p**2 + 4*p + 4. Let s be (5\/15)\/((-3)\/(-81)). Suppose 10*q - s*q - 11 = 0. Determine q*r(k) + 4*h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-330)\/(-264)*(((-2936)\/489)\/2 - -3) and 70\/5379?\nAnswer: 21516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287632113+0.1\nAnswer: 287632113.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/7)*q)\/q**(-16))**(-13\/4))**(23\/5) assuming q is positive.\nAnswer: q**(-36179\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 127.7?\nAnswer: 75.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - -2) + (0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 = -260*h - 93*h. Solve -h*m + 3*c + 8 = 0, 5*c - 8 = 2*m - 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 55?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, -161, 3 in increasing order.\nAnswer: -161, 3, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62236 - -109727. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 3\/20 (c) 1\/216 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6554 - -0.2446. Let q = -0.08 + -3.12. Let v = q + k. What is the nearest to -1 in v, 22, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4118740 >= 28831190\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 75, -1\/57, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1248588 - 638588. Round t to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447685.\nAnswer: 5, 7, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.394506 litres to millilitres.\nAnswer: 9394.506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*j + 16, -3*x + 3*j + 9 = -8*x. Let u be 2\/(x\/(-3 + -3)). Let n be -18*(1\/1)\/(-2). Solve -5*m + n = -4*i, u*m - 4 = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/5)*((k\/k**1)\/k*k)\/k*k\/(k\/k**(-6))*k**6)\/((k*k**(-4\/9))\/k*(k\/(k**(-1)\/k))\/k)**40 assuming k is positive.\nAnswer: k**(-2773\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -s, 0 = -2*l + l. Let t(y) = y + 5. Let g be t(-3). Is g < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 9. What is d(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 166 - 281 = 726. Solve 68*p - 459 = -s for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -61. Let i(o) = -2*o. Let j = 7 - 12. Let a be i(j). Solve -c - c + a = u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p**2 + 12*p**2 - 10*p**2 + (-4*p + 3*p - 3*p)*(-5 + 5 + 3*p) to c*p + d + z*p**2 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -649520225.5608\nAnswer: -649520225.2608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13181\/14 + (-1)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 3 (c) -1\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 617115353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 133, 200, 267, 334, 401?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 1, j: 3}. Give prob of sequence sn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {v: 1, o: 2, s: 1, l: 1, c: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 18276.474\nAnswer: -109658.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 3, 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -84, -414, -964, -1734, -2724, -3934, -5364?\n\"Answer: -110*l**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 574520.59 days?\nAnswer: 82074.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1625 and -2.\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (3 - 2492\/833). Let l = 243\/595 - z. What is the closest to l in -4, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -2*1 - -9. Let s(p) = -549*p - 36. Let y(r) = 335*r + 22. Let j(g) = -11*s(g) - 18*y(g). Let z(w) = -13*w. What is l*j(h) + 5*z(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + (8 - (16 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3004 and 22.\nAnswer: 33044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24578979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*f + 497831, 248893 = 2*f + 113*k - 118*k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287\/7 - -2*1 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 1:58 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 8*w**2 - 7*w. Suppose -3*j + c = -0*c - 151, -2*c + 198 = 4*j. Let b = j - 59. Does 18 divide d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46.81 + -46.6400224. Let b = y + -0.17. Round b to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -16266*b + 1. Let t(h) = h**2. What is t(o(u))?\nAnswer: 264582756*u**2 - 32532*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11856263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*k - 60, -4*k + 4*o + 54 = -22. Calculate the remainder when k is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 93134.\nAnswer: 8940864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-1)\/((-1)\/(-2)). Let x = v - 1. Solve -4*n + 0*n = 8, 3*f + x = 3*n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - j**2 + 2*j**2. Let w(v) = v - 2188142 + 2188142. What is w(r(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172613 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from comommmmmmmommc?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 2, 8139 = k + 3*p + 8148 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648765 divided by -129753.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14573 is divided by 4855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 36. Let z = j - -25. Let n be 5\/(-10) - 10\/(-4). Solve -z = n*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)*i**(-4)*(i**(2\/5))**(-1\/29))\/((i**5\/i**(-4\/7))\/(i**0*i)**(-5\/8)) assuming i is positive.\nAnswer: i**(-762403\/73080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 + 3*i + 2. Suppose -k - 2*c - 2 = 0, 5*c + 3 + 13 = 3*k. Let a(h) = -2 + h + 0 + 2*h**2 + 4 - 1. Determine k*u(y) - 5*a(y).\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 2*s**3 + 0*s + 1\/80*s**5 - 5*s**2 + 1\/4*s**4 + 0. Factor y(i).\nAnswer: 3*(i + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -935625 divided by 62375.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 + 3*s - 2. Let w be r(2). Suppose -2*p - 10 + 6 = w. Let x be 16\/(-14)*p\/8. What is the biggest value in 2, x, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3456 (base 7) in base 10?\nAnswer: -1266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:48 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117571857 and 192933.\nAnswer: 3783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 502*a*l**2*u - 9337*a*l**2 - 42*a*u**2 - 1 with respect to u.\nAnswer: 502*a*l**2 - 84*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 8*k + 14. Let b be f(9). Suppose -u - 4*u = -b*j - 1950, -4*j - 1951 = -5*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 - (-1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 24.22252 decades?\nAnswer: 2.422252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*t - 381*t - 1686*t - 1535*t + 207*t + 593*t.\nAnswer: -3157*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {z: 12, t: 1, n: 1, k: 5}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 1 + 3*b - 8 + 7.\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) - (2*sqrt(84) - sqrt(84))))*2*1)\/((sqrt(108) + 1*sqrt(108))\/sqrt(9) - ((1*sqrt(108))\/sqrt(9) - sqrt(12))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -39913?\nAnswer: -39913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269\/5 - -1888\/35. Which is the closest to -0.18? (a) -1\/5 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2916 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 3*u + 76. Determine j(-8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*j - 14*j + 23616. Let z = j + 580. Solve -z*q + q = -9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -6eba?\nAnswer: -6ebd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014982 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {c: 2, l: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 739*t. Let x(f) be the first derivative of -f**3\/3 + 95. Give x(j(y)).\nAnswer: -546121*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a + 7*a - 6*a)*(42 - 83 + 30)*(-a**2 - a**2 + 3*a**2) as s*a + j*a**3 + i + g*a**2 and give j.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1632 and 1377.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*z - 42, z = -5*r + 3*r + 14. Let -12 - 5*f**2 + 46 + z*f + 6 = 0. What is f?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -34*q**2 - 52*q - 1. Let k(b) = -41*b**2 - 62*b. Let r(m) = -6*d(m) + 5*k(m). Let f(z) = -z - 11. Let l be f(-7). Give r(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -14 (c) -0.2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*w + 50, -4*b - 15 + 145 = -5*w. Solve 7*y - b - 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/2 - 2228*d + 2963008 = 0.\nAnswer: -5528, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3127 and 1829.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -13*y - b - 3, y + 5*b - 11 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + w**2 - w + 1. Let g be y(1). Let h be 25 + 2\/(2 + g). Let q = h - 15. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3076 = 83*i - 2910. Let a(o) = 4*o**2 + 14*o + 26. What is a(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let o(w) = -2*w**2 - 17*w. What is -2*b(d) + o(d)?\nAnswer: -2*d**2 - 15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 3, -0.1, -0.13, 2.2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = -414991 - 78489. List the prime factors of v.\nAnswer: 2, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*f = 365*f - 98*f + 318*f - 15708 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 173631744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 36779.917 to the nearest ten.\nAnswer: 36780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-6) - (-378)\/567) + 5. Let v = -0.1 - -0.3. Suppose -5*o = 21 - 11. Which is the closest to x? (a) o (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/24 and 43\/136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 + -98. Calculate the highest common factor of 102 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/3291287?\nAnswer: -1\/3291287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 918218 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81591 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48340267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/5*(-185)\/111.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3244, -3246, -3248?\n\"Answer: -2*t - 3242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 13. Let s be w(20). Let t be (-12)\/s - 18\/(-63). Which is the second smallest value? (a) t (b) -4\/3 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 82. Suppose d = 2*s + 3*s - 20. Factor -12*o + 0*o - o**4 - 15*o**s + 20*o**3 + 8*o**2.\nAnswer: -4*o*(o - 1)**2*(4*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 13*m + 48 = 0. Let i be 2\/8 + 690\/m. Suppose -i*w + 27*w + 2000 = 0. What is w rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 0. Suppose -4*v + c = v. Let j(w) = w**v + 3*w + 3*w - 4*w + w. Let f(m) = m**3 + m**2 + 4*m. Give -2*f(u) + 3*j(u).\nAnswer: -2*u**3 + u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 67*i - 74*i = -37*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16029098, -32058196, -48087294, -64116392, -80145490?\nAnswer: -96174588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 3. Let t(u) = 3*u - 15. Let m be 48\/6 + 3 + -5. Let v be t(m). Let s be p(v). Solve -x = -s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17979 + -17979. Let w(n) = 13*n**3 - n**2 + n - 1. Let d be (-6 - -7) + 0 + 0. Let b be w(d). Solve -4*z + b + 4 = h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-4) + (2 - 8))*12. What is the thousands digit of (l - -1102) + 2 + -3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 119 - 39. Suppose -r - a*r = -216. Suppose -5*q = -2*z + 22, 0*z - 3*z + 3*q = -r. Solve 6*v - 4*v = -z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 1498, 3367, 5984, 9349, 13462, 18323?\nAnswer: 23932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l*q**5 + 22*l*q**2 + 2*l*q*u + 4*l*q + 2*l*u + 107*q**3*u - q*u - 1438 wrt q?\nAnswer: -80*l*q**3 + 44*l + 642*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5274*o - 49548 = -1145*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45326473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.07 (b) 1\/3 (c) 0.181 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 16*v**2 + 2*v - 7. Calculate the remainder when u(16) is divided by 1 + (-4)\/(-6)*9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3125 (base 7) in base 8?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 5*v**2 - 4*v + 1. Let t be r(4). Solve t = -4*s - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*(-8 - -6)*4175. What is c rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**8\/3360 + j**7\/560 - j**6\/240 + j**5\/240 - 2*j**3\/3 + 2*j. Let b(a) be the second derivative of h(a). Factor b(r).\nAnswer: -r*(r - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83 or -4\/753?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/990 and -139\/6.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 34504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose n = 5, -4*o + 4*n - 73 = -n. Let c = -7 - o. Solve -c*h = -l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**3 + 5*c - 2 + 4*c**3 + 3*c**3 + 6*c**2. Let a(i) = -27*i**2 - 98*i + 36. Let q be a(-4). Determine v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 + 10*z + 66 + 67.\nAnswer: 10*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/2)*b)\/b)\/b)\/b**(2\/9)*b\/b**(-10)*b*b*b**(-6) assuming b is positive.\nAnswer: b**(95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - -200131323?\nAnswer: 200131221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13470 - 13468. Suppose r + 0*g = -3*g + 27, 4*g - 84 = -4*r. Let t = -11 + r. Solve -t*w + i*w = 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166242561.\nAnswer: 3, 55414187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3 - (14 - -1). Is ((-113)\/(-2))\/(n\/(-36)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.122 + -3.822. Let r = -2\/3 + -1. Sort r, 4\/11, g in ascending order.\nAnswer: r, g, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 7. Let v(i) = 0*i**2 - 4 + 56*i**3 + 2*i**2 + 3*i - 58*i**3. Let w be v(2). Determine j(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/20)\/(((-6)\/3495)\/(-2)) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kookbbkbbbkkkoo. Give prob of picking 1 o, 2 b, and 1 k.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 1308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 1. Let r be w(-2). Let u(o) = o**2 - o - 1. Let f(d) = 5*d**2 - 6*d - 7. Let b(c) = -f(c) + 6*u(c). Is b(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (69\/46 + (-6)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -673*b**3 - 3*b**2*d**3 + 77321*d**3 wrt b?\nAnswer: -2019*b**2 - 6*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 427 and 70?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 + 5*q - 13. Let v(t) = -t**2 + t - 1. Let s(p) = -g(p) + 4*v(p). What are the prime factors of s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 859\/7 - 123. Let h = 109 - 1089\/10. Let n = 0.2 - 0.3. Which is the nearest to n? (a) f (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 54 + 75)*(-6*r + 13*r - 5*r).\nAnswer: 236*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.39 - -0.39. Let q = -26.7 - j. Which is the third biggest value? (a) -4 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-138)\/805 + 8\/(-12)*129\/(-84)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 - 1. Let t(m) = 5*m**3 + 2. Give 6*i(z) + 5*t(z).\nAnswer: z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4287?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29088, -29139, -29190, -29241, -29292?\n\"Answer: -51*v - 29037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 67280\nAnswer: 67285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*o - 3*o + 7 = 0, 2*f - 18 = -2*o. Let i be (f\/(-10))\/((-6)\/9). Which is the nearest to -1\/3? (a) 3\/4 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8268383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 8*p**2 - 10*p - 7. Let s(f) = -8*f**2 + f. Let b be s(-1). Let l be v(b). Suppose -k = l*k. Solve k = 5*m - 2*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 6:44 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1437 = 3*g, -2*g + 1065 = 3*b - 4*g. Let n = b - 1764\/5. Find the common denominator of n and 22\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 906137 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 381362 - 160035. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - w - 15 = -5*m, -5*m + 5*w + 25 = 0. Let i = -6 + m. Suppose -a + n + 7 = i*n, -2*a = 4*n - 12. Solve a*t + 10 = -d - 9, 3*t = 5*d + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 17, n: 1}. Give prob of sequence nnxn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 81530 - -3?\nAnswer: 81533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.7 - 33. Let l = m - 2.05. Round l to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 27)*3\/(-2). Let b = -35 + h. Solve -4 - 4 = -b*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03686 + -0.36314. Let r = 43\/6 + -283\/42. What is the third smallest value in 9, u, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 138?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-39)\/9)\/(2\/(-6)). What are the prime factors of k\/2 - (-1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2236*a + 2238*a = -13, -a = t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 + 206198*t**4\/5 - 478240*t**3 - 989472*t**2\/5 = 0. What is t?\nAnswer: -2\/5, 0, 12, 41228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 = 1. Suppose 5*o - r = 3. Calculate the remainder when 86 is divided by (-1)\/o*(-30 - -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4)*-1)\/(6\/(-40))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 3 = 0. Suppose -x*t = -o - 2, -3*o + 5*o + 4*t = 6. Suppose 0 = 3*f - 0*f - 15, 4*d + 4*f = 64. What is the greatest common factor of d and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 100429 = y + 3*y, -s + 50215 = 2*y. Let g = -100951\/4 + y. Let l = g - -129. What is the closest to 1 in -5, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g. Let n(l) = -13*l**2 - 2. Let a(t) = 78*t**2 + 13. Let r(u) = 6*a(u) + 39*n(u). Calculate j(r(y)).\nAnswer: -78*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60732, 242900, 546512, 971568, 1518068, 2186012?\n\"Answer: 60722*w**2 + 2*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.11, 2\/9, 2\/43 in descending order.\nAnswer: 3, 2\/9, 2\/43, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*32.7814\nAnswer: 3.27814","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -b154 (base 13) to base 5\nAnswer: -1240110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4270, 374, 4 in decreasing order.\nAnswer: 374, 4, -1, -4270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4916*y - 15008*y + 4861*y + 4987*y.\nAnswer: -244*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in minutes?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(d**0*d)\/d*d))\/d)\/(d*d**(-10)))\/(((d**(-4)\/d)\/d)\/d**0) assuming d is positive.\nAnswer: d**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53789.\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -373000 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374413537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + (-19)\/(-3). Suppose -3*f = -z*f. Suppose w - j = 0, -5*j = 2*w - 7 - f. Which is the third biggest value? (a) 0.9 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128080 and 160?\nAnswer: 256160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 842, 1386, 2032, 2798, 3702, 4762, 5996?\nAnswer: 7422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/552 and 44\/7?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -454, -2, -1550, 2 in decreasing order.\nAnswer: 2, -2, -454, -1550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - 10. Let a(l) = -4*l + 10. What is n(a(c))?\nAnswer: -80*c**2 + 400*c - 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 4*k - 3. Let m be j(4). Let i(p) = -p**3 - 3*p**2 - 4. Let x be i(m). Is (-2 - x) + 37 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 71. Let v(c) = 3*c**2 + 7*c + 19. Is v(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3 - 3*f - 4 + 4 + 2*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*d**4 - 14 - 2*d**3 + d - 8 - 2 + 8 - 2*d**2 to c + y*d**4 + z*d + j*d**3 + u*d**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4\/9*g**5 + 0 + 100\/9*g - 40\/9*g**4 + 40\/9*g**2 - 32\/3*g**3 = 0?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2092 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -1) + 76 + -73?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from xztxxxzxf?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1650*k - 16497. Give o(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 2337410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-6))\/(2\/(-713392)). Suppose 0 = -3*t - d - 4645047, -4*t - 4*d - 7780023 + 1586619 = 0. Let f = t - y. Round f to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414470727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 9. Calculate the common denominator of 24\/11 and 61\/w*(-1 + 0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**2*v**3 + 2*r**2*v**2 + 26*r**2 - 2*r*v**4 - 26*r*v**3 + v**2 wrt v.\nAnswer: -6*r**2 - 48*r*v - 156*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.36 - 0.36. Let q = b + 26. Let g = -52 + q. Sort 4, -1\/7, g in decreasing order.\nAnswer: 4, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 - 40*r**3 - 30*r**2 + 35*r + 30 = 0. What is r?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 114*v - 49*v - 1 + 3.\nAnswer: -v**2 - 163*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68147*i**5 + 3*i**2 + 719882*i wrt i.\nAnswer: 1362940*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-4*7\/(-14). Let q(j) = 7*j - 1. Let l be q(2). Let t = l + b. Solve n - t = 6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-15) - (-40)\/(-24). Is (24\/84)\/(b + 1654\/826) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o**(-1\/6)\/o))\/o))\/(o*o*o**(5\/7))*o*o\/((o\/o**(-1\/2))\/o)*o*o**39)**3 assuming o is positive.\nAnswer: o**(811\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 2)*(-12*p**2 - 63 + 63)*(0*p + 0*p - p) to the form d*p**3 + h*p + l*p**2 + j and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332523 is divided by 777.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uikiuhdhhhihhgd. What is prob of picking 1 k and 3 h?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15808\/4992 - (-2 - 13\/(-6))\/1. Solve 32*d - 34*d - 1 = -v*f, 0 = d - f + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3031.4 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1044 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3137*k - 269*k**2 - 11359*k + 267*k**2.\nAnswer: -2*k**2 - 8222*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 5*f**2 + f - 2. Let i be l(5). Suppose u = 5, i*w = 7*w + u - 13. Let s be w + -2 - (-1 + -1). Solve 5*o = 13 + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/5)*t\/t**(-1\/22) assuming t is positive.\nAnswer: t**(27\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -95, -31, 17, 25, -31?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 35. Let b(p) = 6*p**2 - 5*p + 2. Calculate the remainder when b(-3) is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, -23.6, -0.1, 3\/2, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.85363 months to decades.\nAnswer: 1.47378025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1627, -1623, -1617, -1609?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 + 8*i**3 - 4*i**2 - 8*i**2 + 10*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 110*j**2 - 4*j - 4. What is w(-1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*o + 69*o + 22 = -5*t, 3*t - 4*o = -20. Let z = -10 + 21. Let x = t + z. Let i(u) = -u**3 + 7*u**2 + 2*u - 10. What is i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*(-8)\/(-14). Let c = 251 + -252. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -4. Let s be t\/3 + -8 + 10. Solve -1\/3 + s*a - 1\/3*a**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 24) + 45 + -12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/13 + 2946*j**3\/13 - 1400536*j**2\/13 + 210004992*j\/13 + 66355200 = 0?\nAnswer: -4, 325, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16163, -16160, -16157?\n\"Answer: 3*d - 16166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*k - 20 = -210*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/9 (b) -0.3 (c) -0.25 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9900577 years?\nAnswer: 11.8806924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 70*r**2 + 99*r - 2806. What are the prime factors of q(63)?\nAnswer: 2, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -24849656 = -24849656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 7. Let u be q(-6). What is the third derivative of 10*t**2 - 3*t**2 + 7*t**2 - u*t**3 wrt t?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9733083 is divided by 670?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/105 + 273\/(-455). What is the third biggest value in -11, x, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*x - 7, -4*x = -2*k + 16. Let j be (-21 - 3) + 0\/3. Let f = j + 26. Is f at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 9 = 4*v, 585*u + 1 = 582*u - 5*v for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.365744 rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(31\/4)*x**(-48)*(x\/x**38*x)**(1\/27) assuming x is positive.\nAnswer: x**(-499\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmnmnnmeemnen. Give prob of sequence lme.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/((-120)\/36). Let w = 22\/35 + j. Which is the biggest value? (a) 1\/5 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Let n be -3*-3*10\/6. Let b be n + -8 - (0 + 1). Let z(m) = -b*m - 14*m + 17*m. Determine h(z(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - z + 4. Let w(o) = -20*o**2 - 802*o + 72. Let v(g) = 2*w(g) - 36*y(g). Find j, given that v(j) = 0.\nAnswer: -392, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34276663451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29254, -58511, -87768, -117025, -146282?\n\"Answer: -29257*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 251 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 147*j + 5886. Let b be n(-40). Solve 0 = -5*m - b*u + 23, 5*m - u + 3 - 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -21302*q + 21306*q - 30, 4*q - 6 = 13*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92722489.\nAnswer: 19, 113, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + 23. Let g(t) = 19*t**2 + 722*t - 45. Let k be g(-38). Let h = b + k. Solve -5*s = 5*v + 20, -h*v - 2*s - 1 = 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3192245 - 0.040767. Let z = -0.36 - c. What is z rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 10*z + 20 = y, 670*z - y = 673*z + 22 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/25))\/(b*b**(5\/4)) assuming b is positive.\nAnswer: b**(-129\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3969 and -1100.\nAnswer: -4365900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151754009 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 40. Let w = -26 + j. Is w greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1888438006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*p - 119, -12 + 154 = 4*y - 2*p. Let k = -32 + y. Solve 0 = -a + k - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 20*r + 29*r - 501177. What are the prime factors of r?\nAnswer: 3, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 862534, 862577, 862692, 862915, 863282, 863829, 864592?\n\"Answer: 6*l**3 + l + 862527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddql when four letters picked without replacement from pqdqlllldlleld.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5712, -22878, -51498, -91572, -143100, -206082?\n\"Answer: -5727*q**2 + 15*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = 5*w, -b + 1624*w - 1642*w = -863 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**4\/24 + r**2. Let s(p) be the first derivative of -10*p**3\/3 - 21. What is s(h(c))?\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - 5*(-5 - -4). Which is bigger: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*i**2 + 33*i**2 - 39*i**2 - 124*i**2 to t*i + y + a*i**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 22*f - 20. Let q be y(-20). Suppose -5*v - q = -z, -2*v = 5*z - 0*v - 208. Calculate the remainder when z is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3.5 (b) 0.2 (c) 14 (d) -2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17013?\nAnswer: 3, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 4*y**2 + 11*y - 6. Let l be d(-6). Let i be 6\/(-6) + 2 - l. Suppose -4*n = -5*q + 8 + 12, -4*n = -2*q + 32. Is i < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 281, 283, 285, 287, 289?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -28. Suppose -66*o = -61*o - 5*z - 10, 3*o + 4*z = 6. Find the third derivative of -f*b + b**2 + 5*b**4 - 9*b**o + 26*b wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 8*m**2 + 5*m + 4. Let c be j(4). Let x = 34 - c. Suppose k - x = -5*n + 28, 274 = 2*k - 4*n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -14 - 16. Let m(s) be the third derivative of -s**5\/20 + s**4\/4 + 106*s**2. Let u(o) = 3*o**2 - 5*o. What is n*u(j) - 5*m(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -100010110110011100 (base 2) to base 6\nAnswer: -3020512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3961392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (10 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 2) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -4*n + 358. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 63*i**2 - i**3 - 63*i**2.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 1998.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 39 = 4*k, -2*a - 3*k + 213 = 223 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -209 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -6. Let q be (-8)\/20 - x\/10. Let c = 5 - q. Calculate the highest common factor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 205*d*k**2 - 2*d*z - 17*k**2 + 18*z wrt d?\nAnswer: 205*k**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 352 - -30452?\nAnswer: 31134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*q - m, 4*m = -q - 30 - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**3 + 16*s**2 + 42*s**3 - 18*s**2 in the form i*s + n*s**3 + p*s**2 + w and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-2 + 4)\/(-2). Let k(n) = 434*n**2 + n + 1. Let h be k(-1). Suppose 5*r = r - 8, 5*s - h = -v*r. What is the highest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -62. Solve 3*a - t = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/6))**13\/(y**(1\/3))**(-15))**(1\/64) assuming y is positive.\nAnswer: y**(95\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 11. Let x(q) = -7 + 403*q + 13 + 11 - 392*q. Let t(o) = -o**3 + 4*o**2 + 8*o - 7. Let m be t(5). Give m*g(i) - 5*x(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 69*0.5\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/7)*n)\/n*n*n)**(-19))**34 assuming n is positive.\nAnswer: n**(-8398\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 - (4 - (1 + 9 + (-40 - -17)))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 6*h - 6*h)*(-19*h**3 - 22*h**3 + 42*h**2 + 39*h**3) to z*h + j*h**4 + l*h**2 + a + u*h**3 and give u.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 0*p - 2 + 4\/3*p**3 + 0*p**2. Let d(a) = -2*a**2. Give s(d(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 + 2112200000?\nAnswer: 2112121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -18. Calculate the remainder when m is divided by ((-4)\/6)\/((-2)\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4967769, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 6. Let i be y(5). Let z(f) = 1 - 4*f + 3*f**2 + 7*f**2 + 8*f - 3*f. List the prime factors of z(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*u**2 + u - 125*u**2 - u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:54 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*-2)*5 + (sqrt(110)*-2*6 + sqrt(110) - sqrt(110)) + sqrt(110))\/((sqrt(360) - -1*sqrt(360) - sqrt(360))*6)*-1.\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 4*n - 10*n)*(-4*n + 4*n + 3*n) - 3*n**2 - n + n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 376*g**2 - 1437*g + 3. What is s(4)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1*i)**5*((i**3*i*i*i)\/i)**(1\/12))**(-13\/3))**(1\/13) assuming i is positive.\nAnswer: i**(-125\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 104*u**2 - 103*u + 216. Let x be n(-105). Let q(l) = -4*l**2 - 5*l + 5. Let z(m) = 2*m**2 + 2*m - 2. What is x*q(v) + 14*z(v)?\nAnswer: 4*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 13*j - j + 6*j to the form q + l*j and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5243467615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pca when three letters picked without replacement from {a: 4, z: 3, n: 2, p: 1, c: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/12 + x**3\/3 - 3*x**2\/2 - x. Let a be c(-4). Suppose 3*i - 5*t - 144 = 203, 0 = -a*t + 10. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*z + 628*z - 756 = 1280*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 27 (b) -19 (c) -3\/5 (d) -29 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -16. Solve -2*l + z = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/1860)\/(((-91)\/13)\/966)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-70)\/(-4) + 4\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 5*l - 7. Let o be a(-6). Let g be 3 - o - 1 - 1. Let c be 4*(-2)\/(16\/(-6)). Solve 3*t - 1 = 2*q - g, 11 = c*t - 5*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10870 and -39\/10870.\nAnswer: 10870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/16 - -3\/16. Let z be (1*20)\/((-52)\/250). Let h = 96 + z. What is the smallest value in m, h, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 295*c - 293*c + 11, -4*c + 5 = -3*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33020)\/(-429) + -44 - (-1)\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 16 + (16 - (12 - 47)) + -1 + 9.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1518852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 6*j - j = -80 + 5, -j - 554 = -50*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.954 + -0.046. Which is the third smallest value? (a) 4 (b) 0 (c) -0.4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 40. Suppose 52*l = -263*l. Put l, g, -3, 2 in descending order.\nAnswer: g, 2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 31. Let d be h\/(((-9)\/36)\/(1\/4)). Which is smaller: d or 4\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 + 7. Let b(k) = k**3 - k**2 - 1. Calculate -42*b(c) - 6*s(c).\nAnswer: -42*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 61437?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 4. Let y = -18 - -14.1. Let q = y - b. Is q != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/18 + -7*(-2933)\/441 is divided by -1*(-98 + -2)\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 50 = 22. Let n(f) = 2*f + 12. Let c be n(w). Suppose c*i + 5 = 31*i. Solve 0 = 2*d + i - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1713*b**2 + 203*b**3 - 1712*b**2 + 3424*b**2 + 2*b**4 - 1 as m*b**3 + j*b**2 + g*b + l*b**4 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11305 - -24?\nAnswer: -11241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.12?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 3. Let j(l) = l. Let n(x) = g(x) - 2*j(x). Let h be n(7). Suppose -5*p - 8 = 4*i, h*p = 5*i - 37 + 6. Sort 2, -5, i.\nAnswer: -5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z - j, -6*j + j + 1 = 3*z. Suppose 0 = z*b + 2 - 6. What is the second derivative of y + 19*y**2 - 20*y**2 - b*y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150 - -423\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7416265055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43408\/195255 - 2\/21695. Which is the closest to -1\/54? (a) z (b) -11.8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-16850)\/(-8) - (-21)\/(-112)*112\/84 and 54?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 218*q - 212*q. Sort -2, 13, q, 1 in decreasing order.\nAnswer: 13, 1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4720*y**2 - 152 - 4154*y**2 - 147 + 299.\nAnswer: 566*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -67130*o**3\/3 - 4162056*o**2 - 193535046*o + 34596 = 0.\nAnswer: -93, 6\/33565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -19842, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181 - -180. Which is the nearest to u? (a) 1\/4 (b) -4 (c) 4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1529110 divided by -11?\nAnswer: 139010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-2 + 3 - 3)*(5*x - 10853*x**2 - 10*x**4 + 10853*x**2).\nAnswer: 40*x**4 - 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 6 - (3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(((-9)\/3)\/36). Suppose 0*z + t = 2*z. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.150595t to milligrams.\nAnswer: 3150595000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 96?\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231488993?\nAnswer: 41, 5646073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(27) + sqrt(108)))\/(sqrt(81)\/(sqrt(9)*2) - sqrt(324)).\nAnswer: -90*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1114888\/33 - -33782. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*o**2 - 313*o**2 - 2 + 100*o**2 - 3*o**2 + 2*o**2 - o**2 + (o + 0*o - 3*o)*(-2*o + o - o) to the form h + r*o**2 + u*o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 11:23 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51353.12 micrograms to kilograms.\nAnswer: 0.00005135312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**4)**(-11)\/(q*(q*q*q*q*q**(-4\/7)\/q)\/q)**(14\/3) assuming q is positive.\nAnswer: q**(-232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h + 54. Let s(b) = 8*b + 57. Let m(r) = -5*s(r) + 4*t(r). Let n be m(-8). Put 4, n, -407 in descending order.\nAnswer: 4, n, -407","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-142)\/426)\/((-2)\/(-72))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2655 by -531.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/143940 and -133\/121920.\nAnswer: 292486080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 659.9 + -605. Round k to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 3\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23354.83285 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.81 + -0.19. Let i = m + 2. Which is the closest to -0.1? (a) 0.3 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) + (sqrt(42) + sqrt(672))\/sqrt(6))*-6 + 4 + 3*sqrt(6)\/sqrt(128).\nAnswer: -5*sqrt(3)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 94*t - 63. Let k be u(-32). Which is bigger: 1\/3059 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 565 + -25424\/45. Let l(o) be the second derivative of 7*o - 2\/9*o**2 - g*o**5 - 1\/27*o**3 + 5\/54*o**4 + 0. Suppose l(u) = 0. Calculate u.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3836753886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*v = -2*p - 30, 4*v - 41 - 10 = -p - 14 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/60 - 6*v**2. Let i(f) be the third derivative of -f**5\/6 - 14*f**2. Determine q(i(g)).\nAnswer: -100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 642740992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12050 = -5*c, 2*c - 3*g - 6012 + 1192 = 0. Suppose 11*h - 9*h = c. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (-2*sqrt(272) + -2 + sqrt(272)) - -3*sqrt(272)*-2 - (sqrt(272)*1 + 2 - sqrt(272))*-3)**2.\nAnswer: -256*sqrt(17) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21268520 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-8) + (3\/12)\/(-1). Let w(j) = -j**2 + 6*j + 3. Calculate w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 467264857*k**4*y**2 + 2*k*y**2 + 35874*y**2 - 4*y - 1180 wrt k.\nAnswer: 1869059428*k**3*y**2 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/21 + 4*l**4\/7 - 2*l**3\/7 - 20*l**2\/21 = 0. Calculate l.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 37*u**2 - 72*u + 91. Determine n(-39).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1455 in 2, 7\/5, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -2, 3, -4 in ascending order.\nAnswer: -7, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -583, -873, -1163?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53692?\nAnswer: 2, 31, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/2 - 8*l**3 - 40*l**2 + 1152*l - 4608 = 0. What is l?\nAnswer: -12, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, q: 2, r: 5, k: 2}. Give prob of picking 2 r and 2 q.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20647 and 22693.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = p, 5*p + 2*h - 6*h - 10 = 0. Suppose g - p*g = 4*s - 59, 308 = 4*g - 2*s. Let o = -44 + g. Solve 4*d - 13 = -r, 5*r + 0*d - 4*d = -o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azz when three letters picked without replacement from zzzzaaz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 96*r - 252.\nAnswer: -4*(r + 3)*(r + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1002*p + 174. Let h be q(5). Calculate the highest common factor of 48 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/2 + 1*-2. Let n(h) = -v*h - h + 4*h + 0*h. Let s(i) = 3*i**2. What is n(s(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzhlhujhumjlumhhuh. What is prob of sequence uzll?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/14 and -49\/198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from {y: 1, n: 2, k: 10, i: 1, s: 3}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7214, 2 in decreasing order.\nAnswer: 7214, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2392 divided by -4\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + a = 1225, -5*n - 2*a + 728 = -2*n. What are the prime factors of n?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -576 or -574?\nAnswer: -574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -3\/5 (b) 1\/5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/261665 or 0?\nAnswer: 2\/261665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8720690 rounded to the nearest ten thousand?\nAnswer: 8720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**4 + c**2 + 1. Let q(n) = -3*n**4 - 357*n**3 - 4*n**2 + 66*n - 1. Let y(l) = 4*i(l) + q(l). What is the second derivative of y(r) wrt r?\nAnswer: 12*r**2 - 2142*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r - 2. Let d be p(1). Suppose 2*h + 22 = 5*s, -3*s = h - s + 2. Is d at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4576911 and -29\/438?\nAnswer: 668229006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -1*(2 - 1). Is 16 a factor of (-4)\/4*80\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1216))*6 + 2)**2.\nAnswer: 192*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 + 9522*h**2 + 95*h - 4715*h**2 - 4717*h**2 = 0. What is h?\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10585?\nAnswer: 5, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3441784?\nAnswer: 2, 109, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 29*a**2 + 808*a - 7790. Give t(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 179*y - 18472. What is i(-69)?\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 111*v + 38 = -106*v, -3*g + 34*v = 241 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815543?\nAnswer: 815543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18\/5 - 296\/85. Let x(l) = 82*l**2 + 8*l + 19. Let t be x(-3). Let f = t + -739. What is the closest to 1 in b, f, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -42. Solve 7*g - 3*g - 20 = b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447505318 a multiple of 6789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l + 2 - 2. Let c(y) = 27 + y - 18 - 9. Determine z(c(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4863 is divided by 256?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 - -119. What is the smallest value in q, 4\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1084 + 1098. Calculate the highest common factor of 266 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 66*d**4 - 525*d**3 - 1674*d**2 - 972*d + 3240.\nAnswer: -3*(d - 1)*(d + 5)*(d + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023768 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.945 and 0.16.\nAnswer: 0.3112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 1 + 69 - 4 + g - 7.\nAnswer: g + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 5. Let o be b(3). Let u(k) = -k**3 - 2*k**2 - 4. Let a be u(-3). Suppose o*c - a*c - z + 12 = 0, c + 3*z = 8. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*v + 73*v + 178 + 1145 - 134*v to y + o*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.11 (b) -5 (c) -10\/3 (d) -2\/3 (e) 4 (f) -4 (g) -2.284\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345937105 to the power of 1\/3, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.684 + 0.046. Let o = n + 1.27. Is 29 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3173.19796 to the nearest ten.\nAnswer: -3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6 + 3 + 10 - 7 - 11*i. Let h(p) = 5*p - 1. What is n(h(z))?\nAnswer: -55*z + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.4. Let a = -3 + -4. Let p = -7.3 - a. Put 5, s, p in descending order.\nAnswer: 5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 9*w**2 + 5. Let u be b(9). Solve -z = -u*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9602, -19357, -29248, -39281, -49462, -59797, -70292?\nAnswer: -80953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 101*i**2 + 55*i - 186. Determine o(51).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*t + 97*t + 93*t - 172*t**2.\nAnswer: -172*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -39103, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -3, 4, -110, -160 in ascending order.\nAnswer: -160, -110, -3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 630 - 629. Which is the nearest to l? (a) -140 (b) -0.5 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 8095955?\nAnswer: -12\/8095955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = 4*k - 6, -4*i + 17 = -5*k. Let t(w) = -2*w**3 + 2*w**2 + 2*w + 1. Determine t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + 1 + (0 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021 (base 3) to base 5.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4565903 is divided by 362.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236.2 + 43.2. Let q = -7058.15 + 6869. Let d = i - q. What is d rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38284284 and 0.5?\nAnswer: 38284284.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 1271\/155 + 33?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1435, 1442, 1451, 1462, 1475, 1490?\nAnswer: 1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (26\/4 - 5)\/((-42)\/(-1876)) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 39 + b**2 - 127 + 40 - 4*b**3 to the form m*b**2 + w + h*b + c*b**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*(sqrt(2)*-1 + sqrt(2))*-3 - -1*sqrt(2450)))**2.\nAnswer: 9800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 67772\/28 - 1\/(-28)*-12. Let s = m + -1189. 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 29*u**2 + 17*u**2 - 11 + 10*u**2 + 11.\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5284532.\nAnswer: 2, 11, 120103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3081 + 3431. What is the greatest common divisor of 56 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2. Let b(i) be the second derivative of -i**3\/6 - 188*i**2 + 749*i. Give z(b(x)).\nAnswer: 3*x**2 + 2256*x + 424128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.798 and -69?\nAnswer: 745.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 30 = 3*j, 5*r - 20 = -309*j + 310*j. Solve 21*t + 3*c + 15 = 19*t, 3*c = -r*t - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 62*k = 4912. Let l = 307 - k. Solve l = 5*m - 10*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 - 0\/((3 + -4)*1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5815*b - 29058. Calculate k(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:34 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**3 - 7*g**2. Let l(n) be the first derivative of -n**4 - n**3 - 56. Calculate -7*l(s) + 3*y(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 1 + 16 = 0. Let f(k) = -6*k**3 - k**2 + 5. Let i(c) = c**3 - 1. Give y*f(s) - 5*i(s).\nAnswer: s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 0*f - f + (-1 - 2 + 1)*(2*f - 2*f - f))*(4 + 2 + 7)*(9 - 9 + 2*f**2) as b*f + y + v*f**3 + t*f**2 and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 820416, 1640790, 2461168, 3281550, 4101936, 4922326?\n\"Answer: 2*m**2 + 820368*m + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**3 + b**3 + 7*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16417 at least 16419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0731 * -3.09\nAnswer: 0.225879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 20*y - 19. Let m be q(19). Suppose 0 = -6*h + 4*h + 134. Suppose -4*b - 10 = -2*c - m*c, -4*b = 5*c - h. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*o**2 - 219*o + 219*o + (-15*o - 35*o + 13*o)*(-2*o + 5*o - o) to i + c*o + t*o**2 and give t.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 22*b**3 - b. Suppose 0*c + 2*c = 2. What is the remainder when (-181)\/(-3) + 2\/3 is divided by l(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 964763.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 530792.7mm?\nAnswer: 530792700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 1.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let b(i) = 290*i + 1. What is b(o(l))?\nAnswer: 290*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20017 is divided by 3324?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 + -2 + 1 - (-40 + 12).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -20 (c) -5\/4 (d) 241141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/28404 and -113\/1296?\nAnswer: 340848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/13))**13*((i\/((i*i*i\/(i**(-1\/17)*i)*i*i)\/i*i))\/i)**(2\/61) assuming i is positive.\nAnswer: i**(4010\/1037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -13. Calculate the remainder when 58 is divided by 1*-1 + (6 - h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -h - 2*h. Suppose -5*u - 48 = 2. Let j = u - h. What is the lowest common multiple of 9 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17317.\nAnswer: 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 + 96a21?\nAnswer: 969b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*20\/2. Suppose 0 = i, 2*i - 7*i = -n + 260. Suppose -n - 50 = 5*r + o*a, -a + 136 = -2*r. What is r rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 330311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/23, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3312 + -3312. Let h(i) be the third derivative of 0 - 11*i**2 - 2\/15*i**6 + 0*i + 0*i**4 + j*i**3 + 17\/60*i**5. Find the third derivative of h(n) wrt n.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to -12017\/1285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 + 12 = 0. What is the remainder when 54 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 914941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(45)*4) + sqrt(45)*1 - (-4 + sqrt(450)\/sqrt(10)*5))**2.\nAnswer: -184*sqrt(5) + 2661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/1057 - 59170\/11627. What is the common denominator of x and (-12)\/15 + 22\/70*18?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45290 + -45286. Determine o so that -5\/4*o + 0 - 15\/4*o**3 - 15\/4*o**2 - 5\/4*o**c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13919821 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxiixi. What is prob of picking 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2, 76 in decreasing order.\nAnswer: 76, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*d + 6*d + 4*n, -5*d = n + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3297 and 31\/364.\nAnswer: 171444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**6\/15 + 6*u**5\/5 + 31*u**3\/6 - 56*u. Find the second derivative of n(a) wrt a.\nAnswer: 24*a**2 + 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19349.04 centimeters?\nAnswer: 193490400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -829\/7. Which is smaller: -16 or t?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14272*q**2. Let a(l) = 89*l. What is z(a(k))?\nAnswer: -113048512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 8 = 0, 3*i + 5*a = 2*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/((-80850)\/315))\/((-3)\/(3\/1))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {a: 6, g: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/((-690)\/(-75)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -90*c**3 - 23*c**2 + 46*c**3 - 5*c**4 + c**4 + 40*c - 9*c**2 + 40*c = 0.\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 - 3 + 3)*(-28*i + 45*i - 28*i) + (-1 + 1 - 1)*(-4*i**3 + 2*i**3 + 0*i**3) to the form p + u*i + c*i**3 + q*i**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 6*m**2 + 2*m + 3. Calculate b(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*40\/(-40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26\/49, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 13*x**2 + 7*x - 7. Let d(f) = -4*f**2 + 2*f - 2. Calculate -7*d(k) + 2*m(k).\nAnswer: 2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8928 is divided by 2736?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2611*-0.4\nAnswer: 1044.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a8346 - 5?\nAnswer: 1a8341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1914580 and 1160.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199*a**3*m*r**4 + 16*a**3*m*r + 2*a**3*r + 2*a**3 + 4*a**2*m + 24*a*m*r**3 + 20*a*m*r wrt r?\nAnswer: 2388*a**3*m*r**2 + 144*a*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2424 = 268*o - 1517 - 4099 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 181*j - 24 = -185*j, 2*g = -5*j + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from kkfnfn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20232617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 67.5 and -15372?\nAnswer: 15439.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*d - 10, -35*w + 7 = -4*d - 40*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1604, 1605, 1606, 1607?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 11:03 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-135)\/2))\/(-12*46\/(-414))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 3*g + 648. Let a = -77 - g. Solve -3*z = 5 + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1420831\/743470 + -153\/4085. Let z = k - 45\/26. What is the closest to -1 in z, -2\/7, 1\/2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*u**3 + 7*u**2 + 101034*u + 2658866 wrt u.\nAnswer: 60*u**2 + 14*u + 101034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, n: 3}. What is prob of sequence nmnm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2990 - 4620. What is n rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*w + 784 = 4*w, 4*w + 1360 = 5*b. Let p be (b\/84 - 3)\/2. Is p at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.41 - -222.59. Let j = 226 - n. Put j, -5, 8 in increasing order.\nAnswer: -5, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*(-1*sqrt(243) + 5))**2.\nAnswer: -3240*sqrt(3) + 9648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78.51 + 76.51. Suppose -142 = 3*x + 2*l, x + x + 3*l + 88 = 0. Is x smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 2*w**4 - 5*w + 3*w + 10 - 13 - w**2 in the form g + t*w**4 + u*w**3 + h*w**2 + a*w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -401, -910, -1625, -2546?\nAnswer: -3673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 12*s**2 - s - 12. Let m be v(-12). Let k(r) = -4*r + 2. Let j be k(m). Solve -20 = -3*p - j*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.711 rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 40. Let s = a + 19. Is s*(-3)\/(9\/2049) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*9\/(-12)*((-700)\/30)\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 20, 35, 54, 77, 104, 135?\n\"Answer: 2*u**2 + 5*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 63329 = -63329. Let z(y) = -4*y**3 - y**2 - y - 1. Let f be z(-1). Solve 2*l = -f*q - 9 + 3, t = 4*q + 3*l + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906*b - 1 + 906*b + 5*b**2.\nAnswer: 5*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 6 + 12. Let j be 6*(1 + 6\/f). What is the second derivative of -j*b**2 - 3 + b + 3 wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 73814995305 and 2184.\nAnswer: 73814997489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1. Let y(u) = u + 2. Let c(h) = 5*n(h) - 2*y(h). Let l(k) be the second derivative of 0 + 1\/3*k**3 - 1\/2*k**2 - 9*k. What is -4*c(q) - 5*l(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.65. Let y = -0.0580306 - -0.008031. Let n = y + v. Round n to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5 - 5. Calculate the remainder when ((-24)\/20)\/(4\/b) is divided by 2*2\/(3 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-39) - 762\/78. Which is smaller: v or 44?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 29 = -3*r + 13, -2*f + 24 = 2*r. Suppose 5*k + 45 = -0*k. Let d be (-2 - -1)*9*k. Calculate the greatest common factor of d and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from pwpssplsspsspsww?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 1 - 1)*(8*v**2 - 2*v**2 - v**2) - 2*v**3 - 3*v**3 + 2*v**3 + 443*v**3 - 2758*v**3 + 971*v**3 as x + h*v + s*v**3 + k*v**2 and give s.\nAnswer: -1362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (857\/(-58276))\/(2\/96).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 41770.04cm?\nAnswer: 0.4177004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 482165 to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-1089)\/(-22))*(-240)\/(-40)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g - 114. What is q(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:04 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.056 + -0.256. Let j = 26.13 - 26. Which is the closest to 1? (a) x (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*k + 5359 = 5562, -6*x + 11*k = -212 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313*z**4 - 898*z?\nAnswer: 3756*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 + l**2 - 12*l - 12. Let m(g) = -2*g**3 - g**2 + 6*g + 6. Let t(x) = -3*a(x) - 7*m(x). Let p(o) = -o**3 + o + 1. Determine 6*p(z) + t(z).\nAnswer: -z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.19914 decades in months?\nAnswer: 2183.8968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1823 + -723. Does 44 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-172)\/602)\/(8\/14*-3)*(-1740)\/(-13630).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -5.2. Which is the third smallest value? (a) -1 (b) 1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73465876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -306*k**2 + 323. Let q(o) = 76*o**2 - 81. Let j(z) = -22*q(z) - 6*x(z). Find the first derivative of j(l) wrt l.\nAnswer: 328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by (80\/(-5))\/(1\/(-2))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5010*j**2 + 2154.\nAnswer: 10020*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 3.4\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 2*o**2 + 24*o + 25*o**2 - 15*o + o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*f + 0*f - 2*f + (1 - 1 - 1)*(-2*f + 0*f - 2*f) + (-3 + 1 + 0)*(-2*f + 4*f - 3*f).\nAnswer: 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2361\/(-91292))\/(1 + 26\/(-32)).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34777745 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-304)\/152*((-24)\/(-2))\/((-9)\/(-2))\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 684 + 2225*t**3 - 32*t - 4673 - 2249*t**3 with respect to t.\nAnswer: -72*t**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -0.135.\nAnswer: -33.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3141, -12383, -27783, -49341, -77057, -110931, -150963?\nAnswer: -197153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 305*c**3 + 3180*c**2 + 12080*c + 15680.\nAnswer: 5*(c + 4)**3*(c + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 6*o - 3. Let n = -81 - -86. Let k(g) = 2 + 2 + 2 - 4 + n*g. Suppose 12 = -6*h + 2*h. What is h*k(r) - 2*m(r)?\nAnswer: 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21784\/59906*(-9)\/4?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-7199.\nAnswer: -4319.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w - 2. Let g be d(-2). Let y be g\/(-14) - 40\/(-42). Let z = -74.5 - -75. Which is the closest to y? (a) 0 (b) 1\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*b + q, 7*b - 4*b + 3*q - 21 = 0. Suppose b*m - 18 = -3*n + 4*m, -3*m + 17 = n. What is the remainder when 23 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 20. Let q be v(-19). Suppose 0 = -g + 2 - 4. What are the prime factors of (g - q)\/((-18)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 - f**4 + 4*f**4)*(-3 - 1 - 4)*(3*f + 2*f - 3*f).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiiv when four letters picked without replacement from uiijvki.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 6*b + 11. Let c be i(-5). Find the third derivative of -99*z + 6*z**2 + 99*z + c*z**4 wrt z.\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17495*g**3 - 248*g**2 - 28*g + 5. Let k be t(-15). Round k to the nearest one hundred thousand.\nAnswer: -59100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmkkkkmxk. What is prob of sequence xm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*y + 536*y - 402*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86*s**2 - 86*s**2 - 14*s**3 + (93*s**2 + 51*s**2 - 18*s**2)*(2*s - s + s).\nAnswer: 238*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-5.68.\nAnswer: 22.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/29792 and -109\/161120.\nAnswer: 7894880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - p)*((-p + 0*p + 2*p)*(0 - 2 + 0) - 76166 + 1124*p + 76166) + 3*p**2 - 7*p**2 - 5*p**2 as t + u*p**2 + s*p and give u.\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - q**2 - 2*q**2 + (2*q - 6*q + q)*(-25*q - 43*q - 3*q) to the form d*q + r*q**2 + a and give r.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 31886 + r - 31886. Calculate m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46714 = 19*q + 5675 - 145294. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 75.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -598. Let n = x - 280. Let p = -166.57 + n. Round p to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -3)\/(28\/32 + -1). Solve -9*i = -x*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 677d46 + -4?\nAnswer: 677d42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.878 + 1.122. Which is the smallest value? (a) 0 (b) -6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 207372 - 212628 = 0. What is o rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 2 - (-63)\/30. Let r be (-1)\/((4*-7)\/4). Which is the second smallest value? (a) x (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b48 (base 12) to base 6\nAnswer: 11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*b = -23, 12*b - 3 = 9*b. Calculate the highest common factor of 99 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28437347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lknknkkklkkkik. What is prob of picking 2 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (82\/(-4))\/((-3)\/6). Let s(a) = -1 - 42*a - 3 + j*a. Let z(n) = -n - 4. Let q be z(0). Determine s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(171\/(-19) + 7). Let u(a) = -a + a - 4 + a. Let l be u(6). Sort l, -4, t, 0 in decreasing order.\nAnswer: l, 0, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/4? (a) 5\/4 (b) -2\/9 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380649368.\nAnswer: 2, 11, 263, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 + 5 + 2 + 59*h**3 - 2*h - 58*h**3. Let i be g(5). Is -3 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 56*d**2 + 46*d - 5878. Calculate h(57).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-438)*594\/990. Which is the nearest to 0.2? (a) 1\/2 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.083 + 0.033. Let s = 352\/2865 + 2\/191. Is s not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 38*b**3 + 102*b**2 - 98*b + 32.\nAnswer: 2*(b - 16)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -28*b**3 - 2*b**2 - 1. Let p be r(2). Suppose 75 + 387 = -3*c. Let h = c - p. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 + 9737*v - 19482. Calculate o(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 11. Solve d + d - 2 = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -639*i**3 + 396.\nAnswer: -1917*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) - 3\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:18 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/28*(-2)\/8. Let m be ((-1)\/(-2))\/(5\/50). Which is the closest to -0.2? (a) m (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.1 (c) 0 (d) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/16)\/n**(-12\/5) assuming n is positive.\nAnswer: n**(187\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 5, 44.\nAnswer: 0, 5, 13, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -0.22334774.\nAnswer: 0.0402025932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 925, 2273, 4031, 6199, 8777, 11765, 15163?\nAnswer: 18971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-36))\/(6\/104*43\/(-129)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 7. Let i be h(-6). Let n be (3 - (3 + -2)) + 19. Let g = -21 + n. Sort 4, g, i.\nAnswer: g, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3212740630\/20001 + -160629. Let p = -1500023\/1040052 - t. What is the common denominator of p and -87\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*p**2 + 2*p**3 + 3 - 4*p**2 - 4*p**3 + p)*(2*p - 3*p - 4*p) in the form s*p**2 + j + c*p + i*p**4 + b*p**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3074652 by 588.\nAnswer: -5229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*y**3 + 99*y - 40*y - 36*y - 16 - 23*y in the form d*y**2 + x*y + w + n*y**3 and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, e: 3}. What is prob of picking 3 e and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2844*s**2 + 421691*s - 51281*s + 3*s**3 + 303618*s.\nAnswer: 3*s*(s + 474)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2909 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: (-3626)\/(-343) + 126\/(-49)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32, -5\/2, -8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*o = -0*w + 2, 0 = -2*w - 3*o + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 107 = -3*a + 19, 0 = -z + 4*a + 67. Suppose -z = -11*c + 52. Solve c*y - 10*y - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301411 (base 5) to base 11.\nAnswer: -7243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/165*-3*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*p - 119 - 148 = 0. Solve -2*i = -3*h - 2, -p*h + h + i - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14457.\nAnswer: 3, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 15, 25, 37?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1450, -2964, -4478, -5992?\n\"Answer: -1514*h + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 254 = 5*m, -5*o + 9 = 3*m + 141. Let i = m + 69. What is the greatest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (46*3\/(-24))\/((-6)\/(-24)). Let r = -5 - j. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1726 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-6)\/21)\/(90\/(-70))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426792?\nAnswer: 2, 3, 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 11) in base 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(52\/3042)*(6 - 11)\/(-15)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -111010011100000?\nAnswer: -111010011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145 + -143.16. Let r = 1.34 - z. What is the third smallest value in r, -1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9250000 to the nearest 100000.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8) + -9 + 33 + -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/54)\/(3\/(-18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 19319*a - 3 + 4 - 3.\nAnswer: 19319*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -7, -5, 5 in increasing order.\nAnswer: -88, -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1521024*f**2 - 1065621?\nAnswer: -3042048*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14910955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 20*t - 8. Calculate the remainder when u(-22) is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 0 - -9 - (-97 - -91) and 245.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -8. Let y be 1 + 93\/f*-2. Suppose -j + a + 2*a = -11, 0 = 2*j + 5*a. Solve -4*c = -4*m + y, -5*m + 13 - 3 = j*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -92\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 11. Let p(x) = x + 8. Let o be p(f). Let b be (2 - -2)*(-1 - -2). Solve -2 - b = -o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*z**4 + 84277516*z**3 - 2034397*z**2 - 11 wrt z?\nAnswer: -120*z + 505665096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*o - 23, 0 = -x + 3*o + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -132\/2203, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -194787.\nAnswer: -1\/194787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(4\/((-40)\/(-2))). Let l be 20\/r*(-6)\/(-4). Suppose -3*s = 3, -a + 29 = -l*s + s. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -26. Let t be 6\/z + (-680)\/11. Let g = t + -7. What is g rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (3 - 165\/27). Suppose 0 = -2*o + 4*o + a + 5, 3*a + 15 = 2*o. Suppose o*f = -3*f. What is the nearest to f in x, 1\/5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 9619*h**5\/5 + 71*h**3\/3 - h**2\/2 + 6*h - 15119. Find the third derivative of r(j) wrt j.\nAnswer: 230856*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*178\nAnswer: 12.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5098*s + 15291. Calculate t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 490 = 914. Let i be (h\/14 + 6)\/(4\/(-14)). Solve -2*r - i = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 33*s - 30*s - 40 = 0, -15*v - 5*s = -2*s + 60 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001095 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yebbtbveetg. Give prob of sequence bgye.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 9, n: 10}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.546 or -71560?\nAnswer: -0.546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 157760*f + 3111027200.\nAnswer: 2*(f + 39440)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 180, 270, 362, 456?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(640)*-2)\/(sqrt(162)*-2).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -60*i - 40. Let q be r(-12). Let w be (q - 2 - (3 + -2)) + 2. What is w rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/sqrt(112))\/sqrt(4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q - 6. Let u be w(-6). Suppose 4*z + 3*s = -u*z + 15, 2*z - 3 = 3*s. Let f = z + 10. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 0. Suppose -h = -3*h + y + 15, l = -2*h - 2*y. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(1524*c - 2669639 + 2669639) - 1 - 3 - c + 3 to the form j*c + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640 divided by -128.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.4, -1\/6, 0.2, -2\/107, -5\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -664 - -13?\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*s**3 - 83*s**3 - 22*s**3 - 24*s**3 + 154*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 6*v + 5, 0 = -3*m - 5*v + 46. Let h(b) = 2*b - 7. Let k be h(m). What are the prime factors of 6\/k - 574\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1*j)\/(j\/((j\/j**(-6\/5)*j)\/j)))\/(j**(-4\/3))**(-17\/5))**(1\/4) assuming j is positive.\nAnswer: j**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqgyl. Give prob of sequence yg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-2*sqrt(24)\/sqrt(2)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 56. Which is the closest to 1\/2? (a) 1\/7 (b) u (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2609331?\nAnswer: 3, 869777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529946804.\nAnswer: 2, 577, 229613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*p - 9 = 0, w - 3*p = 6 + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Suppose -z + 3*z - 70 = -4*n, 2*n = -x*z + 30. Calculate the smallest common multiple of 22 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -2) + 96 + -94\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -340, -9, 630, 1679, 3240?\nAnswer: 5415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80850958*w**3 - 102849055*w**3 + 59167077*w**3.\nAnswer: -124532936*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -15 - 23. Let x be (1458\/(-3) - 0) + -2. Let k = x + 697. What is the highest common divisor of i and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -17*8\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1144441 + -11?\nAnswer: -1144452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-2)*(-2428)\/15782\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:12 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 19*a**2 + 7*a + 20. Let v be q(-20). Let c be (-5 - v\/(-32))\/(3\/8). What is the highest common divisor of 18 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 13)\/(-3*1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x = -2452 + 2509. Solve 325 = -x*w + 316 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 19 = -11*d. Suppose -d = -5*t - o, 0*t - 4*t + 5*o = -37. Suppose -5*g + 3 = 3*w, t*g + 2 = 8*g + 2*w. Solve h + 4 = -g*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-100 + -8)\/(-18) + (-13)\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9803106?\nAnswer: 2, 3, 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -8. Let z = -12 - d. Let r = 17 + -13. What is the third smallest value in r, z, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3773592260?\nAnswer: 2, 5, 37, 1999, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22 + -4.22. What is the closest to 0 in d, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 15*d**2 - 24*d - 253. Let c be j(5). Solve -13*i + 5*q + 10 = -9*i, 4 = -c*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 9*i**2 - 9*i + 13. Let j be s(8). Solve j = -4*l + 3*a, -a = 4*l + 7 + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02373 - -29.02373. What is the nearest to f in 3, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000124291 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1630.1 + 1549. What is r rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b**(-3\/10))**(-40) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 46, 93, 152, 223, 306?\n\"Answer: 6*d**2 + 17*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 15*f**3 - 8*f**2 + 8*f + 3. Let p(i) = i**2 - i - 1. Let t(g) = 5*g**3 - 7*g**2 + 7*g + 5. Let c(k) = -4*p(k) - t(k). What is -8*c(a) - 3*s(a)?\nAnswer: -5*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 421557 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10937.88 - 10938. What is the nearest to i in 5, 2\/11, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {q: 1, a: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 174.89727 months?\nAnswer: 14.5747725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 12138*w + 12133*w + 75, -4*w - 45 = 3*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t = 9. Suppose 0 = -3*z - 0*z + n + 15, -4*z + 3*n = -15. Let v = z - t. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34524 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00861 rounded to four dps?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q + 3*q)*(2552 - 1468 - 1350).\nAnswer: 532*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + ((-47089)\/21462 - 2\/(-12)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2861249ml?\nAnswer: 0.0002861249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*d - 38, 2*p - 3*p + 18 = -3*d. Let q(h) = h**3 + 11*h**2 + 4*h + 49. Let z be q(-11). Solve 2 - p = -2*g - 2*b, -z*b = 4*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*t - 812, -5*d - 4 = 1. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1962*t**3 + 16*t - 3 + 3 + 1875*t**3 - 3653*t**3 to the form q*t**2 + b*t + m*t**3 + a and give m.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 9*o + 4 = -10*o, -4*o - 22 = 6*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + 0*r**4 + 0 + 4*r**2 - 2 to the form o*r**2 + v + u*r**4 + n*r**3 + j*r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 15 = 3*a - 4*f, -a = -2*f - 5. Let q = -5 + 9. Put q, a, 0 in descending order.\nAnswer: q, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 38. What is the second derivative of -10*g**3 + 2*g + 5*g - g**3 + j*g wrt g?\nAnswer: -66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 7 = 162. What is the units digit of -2 + (518 + r - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 5 + 186 + 35 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 47*p - 4555. Let v be z(95). Solve 3*m = -v*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87669.97 rounded to the nearest 1000?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -5 (b) -9 (c) 1\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6208 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) 0.1 (c) 0.5 (d) 0 (e) 1 (f) -0.13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let s(y) = -5725*y**2 - y + 2252*y**2 + 0*y. Give s(v(g)).\nAnswer: -3473*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/4)*(-29)\/((-377)\/(-26)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -282675434655.0364726 - -282675719464. Let c = -285057.9635 + m. Let a = -249 - c. Round a to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9725 - 9722. Let k(p) be the second derivative of 1\/2*p**2 + 0 + 0*p**t + 13*p + 0*p**4 + 13\/10*p**5. Differentiate k(o) wrt o.\nAnswer: 78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 236021*f - 2 - 15*f**2 + 14*f**2 + 4.\nAnswer: -f**2 + 236021*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 = -5*a, 0 = -2*a + 6*a + 3*f + 4. Solve a*t + 5*x = 4, 3*x = -t + 2*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 + -117. Let g = 50.8 + p. Let t = g - -7. Round t to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8785649538.\nAnswer: 2, 3, 17, 443, 64811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*6\/72*12. Solve 0 = -2*p + c*i + 8, i - 20 = -5*p + 3*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-14 + (-247)\/(-38)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 8, y: 2, k: 1, m: 4}. What is prob of picking 1 r and 2 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96.388 - -96. Let b = -0.088 - d. Let j = 0.01 + -0.07. Sort 2\/3, j, b in descending order.\nAnswer: 2\/3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145373 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 290 = -142. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 + -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*u + 59*u - 211*u - 47*u - 20 + 20.\nAnswer: -294*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 0.785.\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3*3)\/((-1344)\/(-270) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1537 - 1529 + 3062 + 7*t + 13*t**2 - 6*t - 5*t**3. Let o(q) = q**3 - 3*q**2 + 1. Calculate 9*o(f) + 2*r(f).\nAnswer: -f**3 - f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 767 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 12. Solve 0 = -3*r - v, 8 = -0*q + 4*q + 2*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v*y - 40*v - 186*y - 2 with respect to y.\nAnswer: 2*v - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 55*p - 51*p. Suppose -5*x + 9*x + 1 = p*t, 3*t - 7 = x. Solve 3*a - t = 3*i + 18, -4*i = 5*a - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 39, -1 in decreasing order.\nAnswer: 39, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:06 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 7*k - 2. Let r be m(9). Suppose -3*v = v - 20, 0 = s + 4*v - 59. Let p = r + s. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120123727*o**3 + o**2 + 2238996*o - 1 wrt o.\nAnswer: -720742362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-eight thirds of a day in minutes?\nAnswer: 32640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.41 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/8)*z*z**15)\/((z**(-1\/5)*z)\/(z\/z**(-5))))**(-15) assuming z is positive.\nAnswer: z**(-2499\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:18 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20244112 (base 5) to base 2.\nAnswer: 101000011010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = 4. Is 1982\/((-2)\/1 - g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 660*v - 92. Let q(j) = 4*j**2. Give u(q(n)).\nAnswer: -32*n**4 - 2640*n**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71870.84 nanograms in tonnes?\nAnswer: 0.00000000007187084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*g = 181*g + 60 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i - 307. Give p(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 10. Let x be l(-3). Is (539 - x - 1) + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - s - 37 = 0, 19 = 5*q + s - 34. Suppose 5*y - 28 = -g, -2*g = 27*y - 26*y - 74. Calculate the remainder when g is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 37, 96, 179, 286?\n\"Answer: 12*v**2 - v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -683 by 1741.\nAnswer: -683\/1741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-114)\/(-30) - -3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(9) + sqrt(72)\/sqrt(2))\/((sqrt(30)*-2)\/sqrt(10)))**2 + 2 + -1 + 0)*1.\nAnswer: 93\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 0 - 7 + 3380*f**2 - 8.\nAnswer: 3380*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6973, 12071, 25927, 52927, 97457?\n\"Answer: 731*u**3 - 7*u**2 + 2*u + 6247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 484\/15 + -138\/5. Let x be (-6)\/2 - 1710\/(-216). Let y = x + l. Find the common denominator of y and -59\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101516 (base 13) in base 9?\nAnswer: -630458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1197549 and -0.13?\nAnswer: 1197549.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2 - 2*c - 1 + c. Let f be -2 + 1 + -4 + 2. Let x be u(f). Which is greater: x or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b**2. Let i(t) be the third derivative of 7*t**4\/24 + 2*t**2 + 362. What is w(i(a))?\nAnswer: 784*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1152, -1116, -1056, -972, -864, -732?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 7*y**2 - 11*y + 34. Let u be d(8). Solve -u = 2*r + 3*r - 5*g, -4*r + 2*g = 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -441?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7100 - -4?\nAnswer: 7104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 12*l**2 - 459*l - 2430.\nAnswer: (l - 30)*(l + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*g + 39 - 58, 35 = 4*g - 3*s. Suppose -4\/13 + 12\/13*l**3 + 34\/13*l**g + 18\/13*l = 0. What is l?\nAnswer: -2, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = a - 4*j, -33*a + 4*j - 2 = -31*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -5*b**3\/6 + 193*b. Let a(m) = -26*m. Calculate a(y(d)).\nAnswer: 130*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 45. Suppose 3*y - 2*s = 2, 0 = -2*y + 2*s + 5 - 3. Is r smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0 in descending order.\nAnswer: 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/5)*r**(2\/5)\/r*(r*r**(-1))**15 assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11)*(-5753)\/(-2092)*12\/(-22).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvcw when four letters picked without replacement from {v: 3, c: 2, x: 1, d: 1, z: 1, w: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216577 - 216578. Let a(z) = -z. Let u(n) be the first derivative of 3*n**4\/2 + n**2 + 2. Determine y*a(b) - u(b).\nAnswer: -6*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (31 - (-26720)\/(-1160))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.106 - -4.894. Let s be 1\/(-2) + 3\/14. Is w less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.043 times 0.0091\nAnswer: -0.0003913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14705820 rounded to the nearest 100000?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 7)\/(9\/15) - (-15)\/3. Is 2\/647 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 479 - 330. Suppose a + 2*a = 75. Suppose -4*v = a - z. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 16*u - 21*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.007 and 46\/837 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/5)*(b\/((b*b**(-2\/21))\/b))\/b*(b*b\/(b*b**(-1)))**(-46) assuming b is positive.\nAnswer: b**(-9671\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 19. Suppose t - 18 = 2*f, -f + t - 1 = p. Let x(k) = -15*k**2 + 4*k + 9. Let d(r) = 4*r**2 + r. Let q(v) = -4*d(v) - x(v). What is q(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*d, -10827*d = -3*r - 10818*d - 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 23. Suppose -43 = -f*s + 92. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153272 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1325442?\nAnswer: 1325435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*h = 52, -5*u = 3*h + 294 + 76. Suppose 3*l + 4*q = -258, -l + 2*q - 4*q - 84 = 0. Let y = u - l. Solve -y = 4*f + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2356632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:33 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 20 = 3*j. Suppose -j*s + 21 + 4 = 0. Solve 0 = s*q - q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (104\/(-60))\/13 - 694\/(-30). Let m(w) = -w**3 + 22*w**2 + 24*w + 25. Let i be m(z). What is the greatest common factor of i and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4 + 390*j**3 - 18 + 9 + 2*j**2 + 1 to the form q*j**3 + m + l*j + v*j**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*c - 84*c - 387*c - 723*c to a + y*c and give y.\nAnswer: -1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*d - 2*d + 48, 4*y + d - 106 = 0. Let j be 2\/(-4) - y\/(-4). Suppose j*x - 15 = x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -0.5, 0.841, -2, -1\/5 in descending order.\nAnswer: 9, 4, 0.841, -1\/5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-1*sqrt(171) - sqrt(171)) + 0 + 2 + (sqrt(171) - (sqrt(171) + 6*(sqrt(171) + 1)) - sqrt(171))*3)*-5)**2*-6.\nAnswer: -122465250 - 2980800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20705715 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + w)*(-2*w**3 + 0*w**3 + w**3) + (w - 3*w + w)*(w - w - 2*w**3) to the form x*w**2 + i*w**3 + a*w + b*w**4 + f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (92\/(-23))\/((-196)\/735)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -275*x**2 + 3. Let o(c) = -276*c**2 + c + 4. Calculate -3*o(r) + 4*y(r).\nAnswer: -272*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -423752.5691 rounded to the nearest 100?\nAnswer: -423800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 5489*h**2 + 551*h**2 - 3923*h**2.\nAnswer: -8861*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 36226 - 14095 = 3*u, -2*s + 25150 = 2*u. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 121, 171, 217, 259?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 1, k: 2, j: 2, z: 1, e: 3, f: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 + -99. Suppose 2*g = -2 + 8. Let k be 2 + (0 - g) + 4. Solve -k*o - 4*u - 4 = o, -25 = 5*o - l*u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrq when four letters picked without replacement from jrfjjjffnrqq?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, 0.5, 0.1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**5\/25 + g**4\/5 + g**3\/5 - g**2 - 8*g\/5 - 142. Let y(r) = 0. What is r?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -576 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117894 and 882?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j - 5. Is 5 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*w**3 + 212*w**2 + 96*w.\nAnswer: -4*w*(w - 8)*(7*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 13*p**2 - 13*p - 11. Let t be r(-12). Let n = -226.8 - -227. Which is the fourth biggest value? (a) 5 (b) -1 (c) n (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 - -141. Let r(p) = p**2 + 4*p - 2. Let m be r(-4). Put 2, m, d, 3 in increasing order.\nAnswer: m, d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -4*s + 3*v, -5*v + 28*v - 27*v + 3*v = 2*s - 9 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-362 + 360)\/((-65)\/63 - -1). Calculate the greatest common factor of 609 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1563 and 0.070826.\nAnswer: -0.0110701038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j + 22*j - 14 - 10*j)*(-69 + 10 - 67) to the form h + c*j and give h.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.4. Let q = 0.1 - -0.9. Let i = 33 + -32.9. Sort p, q, i in decreasing order.\nAnswer: q, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23360\/180 - 6\/(-27). Let f = z - -26. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*i - 5*i. Is -3\/101 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -89*i**2 + 16*i + 110. Let o(d) = -59*d**2 + 10*d + 73. Let a(x) = -5*c(x) + 8*o(x). Differentiate a(t) with respect to t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1556110128, 1556110130, 1556110132, 1556110134, 1556110136?\nAnswer: 1556110138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**3 + 3*a**3 - 2*a - 12*a**3 - 2*a + 5*a + 2.\nAnswer: 15*a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 381093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 2*n**3 - n**4)*(-4 + n + 4) - 63*n**5 - 117*n**5 + 139*n**5 + (2*n - 3*n + 0*n)*(n**4 - 3 + 3).\nAnswer: -43*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 152282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 2725.02\nAnswer: 245.2518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -1.1. Let k be (-50)\/(-15) + ((-2)\/(-1))\/(-4 + 7). Which is the closest to -0.1? (a) h (b) k (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129785 and 59287.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(216)*1 + sqrt(216))\/sqrt(9))\/(-3*sqrt(72) + (sqrt(80)*-1)\/sqrt(10)) + 0)**2.\nAnswer: 147\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = -5*y, 4*p + 3*y = -y - 24. Let t be -2 - ((p - -7) + -11). Solve -3*m + 2*j + t = -4*m, -3*j = -m - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -257 - -257.1. What is o rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14 = -y, d = -0*d + 2*y - 6. Suppose -27 = d*o + o. Calculate the remainder when o\/12*(-34 - 2) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25776127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 71981*v - 791849. Calculate w(11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*a + 3*u, 0 = 3*a + 3*u - 145 + 133 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22527907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6 + 2*g**4 + 23*g**2 - g**4 - 343*g**2 - 67*g**2 - 2*g**6 wrt g.\nAnswer: -360*g**3 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 + -1695\/7. Is 5 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gss when three letters picked without replacement from {f: 4, i: 2, g: 3, s: 2, p: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -196258699.07 minus 3?\nAnswer: -196258702.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17386324 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844*h - 324 = 850*h - 1730*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -622 - -46. Let g = f - -576. What is the nearest to g in 2, -0.1, -0.5, -46\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p**2 + p + 2. Let o(z) = 19*z**2 - 2*z - 4. What is -6*o(m) - 13*t(m)?\nAnswer: 3*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25249 is divided by 178.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**6\/3 - k**3\/3 + 29*k**2\/2 - 56. Find the third derivative of u(d) wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.7491l in millilitres?\nAnswer: 361749.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.163423 grams in micrograms?\nAnswer: 5163423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 divided by -17.\nAnswer: -199\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + l**2 - 2*l**2)*(-2*l + 2*l + 2*l)*(0 + 6 - 4)*(3 - 6 + 5 + (1 - 1 - 2)*(-3 - 3 + 2)) to the form p + g*l**3 + f*l**2 + c*l and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0430111 + -0.043. Round g to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 233 or 436372\/1877?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 369*o + 5 - 571*o.\nAnswer: -202*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1760 and 1038?\nAnswer: 913440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -677\/16 or -43?\nAnswer: -677\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**5 - 65*m**4\/2 - 845*m**3\/3 + 66. Find v, given that f(v) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 - 2*i**3 + 197993*i - 197993*i.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5808.47 from 0.3.\nAnswer: 5808.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*427\/(-294) + (-9)\/(-3). Let s be 6\/8*1\/(-3). What is the nearest to 1\/4 in s, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 30. Let s be l(-25). Let z be (8\/20)\/((-1)\/s). Does 7 divide z\/5 + (-356)\/(-10) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + h + 4 = -3, 5*h + 17 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 16, j: 3}. What is prob of sequence ww?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -113, -511, -1579, -3647, -7045?\n\"Answer: -55*v**3 - 5*v**2 + 2*v - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 177.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(4))\/sqrt(5) + sqrt(2) + 2 - -2*(sqrt(20)\/sqrt(90) - sqrt(2)).\nAnswer: 2*sqrt(2)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2202 + 13087. What are the prime factors of o?\nAnswer: 5, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/120 - 140000*c**3 + 6*c**2. Let w be t(0). Round w to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwva when four letters picked without replacement from cwvacaavvaw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/36)\/(5*12\/(-160))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3303, 3512, 3735, 3972, 4223, 4488, 4767?\n\"Answer: 7*c**2 + 188*c + 3108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/7*(8 + (-105)\/14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 653 + -3?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 224*a**3 - 168*a**2 - 3584*a - 3416. Let v(f) = 279*f**3 - 169*f**2 - 3583*f - 3415. Let n(k) = -4*v(k) + 5*y(k). Factor n(u).\nAnswer: 4*(u - 57)*(u + 1)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w = -18 + 118 + 628 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -14\/3. Find the common denominator of a and (-102)\/(-364) - (8 - 4)\/8.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2895952167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333203120 (base 5) to base 2.\nAnswer: 1101000001001110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*x**5 - 190*x**4 + 20*x**2 + 186*x**4 + 8*x - 15*x**5 + 12*x**3.\nAnswer: -4*x*(x - 2)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 5546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -22. Let v = 97 + -22. Let w = -75.2 + v. What is the closest to i in -5, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**2 + 17*s**2 - 12*s**2.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 832925\/1071 - 5444\/7. What is the nearest to 30 in w, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c - v + 22, -3*v + 9 = -3*c. Calculate the remainder when 47 is divided by c\/3*(3 - 15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764406.9 microseconds in hours?\nAnswer: 0.00021233525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**8\/56 + 13*y**7\/70 + 3*y**6\/5 + 9*y**5\/20 + 3*y**2. Factor k(i).\nAnswer: 3*i**2*(i + 3)**2*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 29656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5344 is divided by 261.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)*n**(2\/5)*n)**2\/((n*n**(-2))\/(n*(n*n**(-1\/2))\/n)*(n**(-4)\/n)\/n**(-2)) assuming n is positive.\nAnswer: n**(617\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**7\/2 - o**6\/15 - 253*o**4\/6 - o - 74. What is the third derivative of y(t) wrt t?\nAnswer: 1260*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -x - 11, -2949 + 2984 = 5*o - 4*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, -4, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 33*i + 1. Let p(n) = 14*n - 4*n + 402 + 413 - 815. Calculate p(s(f)).\nAnswer: 330*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*x - 197*x - 181*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n**3 + 47*n**3 + 38*n**3 + 2 - 2.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.167691 from -14.9.\nAnswer: -14.732309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/3 - 112*a**4\/3 + 2164*a**3\/3 - 16880*a**2\/3 + 16702*a - 11760 = 0 for a.\nAnswer: 1, 5, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120822030?\nAnswer: 2, 3, 5, 7, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**6\/90 + g**5\/20 - g**4\/18 + 11*g. Factor t(f).\nAnswer: -f**2*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 52*o**2 - 539*o + 16000. Calculate h(27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z - 24. Suppose -v = 4 - 18. Calculate the greatest common factor of z and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v + 4*k - 35 = 0, 2*k = -2*v - 14. Let w = 10 + v. Suppose 5*q - 11 = -w. Solve q*z + 4*o = -o + 1, -2*o = -z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.2, 22, 0.22, -4.9?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/3*1\/3. Let m = n + 1. Let j be (0 + 4)\/2 - m. Solve j = -2*k - 1 - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/24480*54)\/((51\/(-10))\/17)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5671825.607 to the nearest one thousand.\nAnswer: -5672000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 5. Suppose 35 = 5*b - 4*f, f = -3*b - f - 1. Suppose -b*m + 0*m - 6 = -2*k, -k = m + 7. Give a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*j**2*l - 2*i**2*l**3 + 2*i**2 - 34067*j**4*l**3 - j*l**3 - 302*j*l wrt j.\nAnswer: 2*i**2*l - 408804*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + b - 112 = 0, 5*b + 21 = 26. What is the remainder when 306 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.135 - 1.135. Let d = 0.09 - -0.51. Which is the biggest value? (a) d (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - -39. Let q be p\/162*(-6)\/(-4). Is q greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 - 9076834*v**4 + 2967958*v**2 wrt v.\nAnswer: -60*v**2 - 217844016*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*j**3 + 3*j**3 + 0*j**3 - 4*j**3 + 7*j**2 wrt j.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/130)\/(11\/(-55)). Which is the fourth smallest value? (a) r (b) -2 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y**2 + 20*y + 10. Let j(u) = 15*u**2 + 22*u + 9. Let h(q) = 7*b(q) - 6*j(q). Let t be h(-6). Solve -23 = -t*d - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 2103844?\nAnswer: 16830752","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand 9*y**4 - 5*y**5 - 9*y**4 + (-y - 2*y + 5*y)*(-2 + 2 + 2*y**4).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/13 in -836, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*k + 16 = -398*k - 2*f, 3*f + 25 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*p - 66*p - 376. Let q = p - -101. Solve -4*c + 1 = y, -q*y + 2*y - 2*c - 13 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4066698065 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141510 and 24645?\nAnswer: 4386810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 8*c**2 - c + 7. Let h be r(8). Let m be 3 + h - -1 - -1. Find the third derivative of 2*w**2 + m*w**3 + 0*w**2 - 2*w**3 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 11246.\nAnswer: 5, 6, 11246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -49939 less than -49939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -846 - -1488. Suppose -9*o = 2*s - 4*o + f, 1260 = -4*s + 2*o. Let r = s - -560. Calculate the remainder when r is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7314 divide 257428513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 6 = -7*t. Suppose 0 = t*p + p + 136. What is the common denominator of (-45)\/(-1 + p\/(-2)) and -3\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3585.443155 to one dp.\nAnswer: -3585.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 5. Calculate the remainder when 50 is divided by v(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3 - 2 - 2 + 3 + (2 + 2 - 3)*(-3 + 2 + 0) - 3 - 4 + 4 - 2 + 5 - 2 - 45 - 67 + 34)*(-3*s + 3*s - 2*s**2).\nAnswer: 158*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4816 by 602.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42350\/(-165)*(-228)\/10 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 2*a**3 + 3*a**3)*(-401 + 401 - 28*a)*(0 - a + 0).\nAnswer: 28*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times -0.0665\nAnswer: 0.00798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + r - 1 + 8, 3*r - 3 = -3*b. What are the prime factors of (b - (-110 - -4))\/(2\/3)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/33 and -64\/873?\nAnswer: 9603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 14*w**2 - 14*w + 18. Let b be k(13). Suppose b*m - 7*m + 6 = 0. Solve -8*x + m*x + 30 = 2*z, 4*x = 5*z - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3739113 and 13881?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-3) + 4\/(-2). Let n = 354 + -340. Let m = n - 15. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-155)\/9 + (283 - 266)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-140)\/350 + (-18807)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*v = -156*v - 78 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ac68 - 7bd?\nAnswer: a49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/9, 1\/5, 5, 3.2, 0.01?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4705.\nAnswer: 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s - 5*j - 28, -s + 4*j + 2 = 0. Let q(w) = -w. Let t(f) = 11*f - 1. Let y(o) = -5*q(o) - t(o). What are the prime factors of y(s)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*x + 8 + 18, -2*i + x + 8 = 0. Suppose 5*c - s - 4*s - 165 = 0, i*c - 36 = -4*s. Suppose -k = -0*k - c. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 51096.\nAnswer: 51100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161164 and 16.\nAnswer: 644656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1560, -3, 0, 4, 3 in increasing order.\nAnswer: -11, -3, 0, 3, 4, 1560","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 140066\/15 not equal to 9337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*m*t**3 + 5*m*t - t**4 - 9*t wrt t.\nAnswer: 936*m*t - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f**3 + 98*f**2 + 2*f + 11. Let d(a) = -14*a**3 + 100*a**2 + 2*a + 13. Calculate 5*d(t) - 6*r(t).\nAnswer: 2*t**3 - 88*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 15*m + 12 = 0. Let p(z) = -3*z - 1. Let s be p(-2). Solve 5*j - y - 16 = -0*y, m*j = -s*y + 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27*(-29)\/(-9396))\/4.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -1237*c**5\/30 - c**4\/12 - 1129*c**3\/6 + 2046*c**2. Find the second derivative of s(u) wrt u.\nAnswer: -4948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -7.8. Let t = -1 - k. Let l = -0.16922 - 0.13078. Which is the nearest to 2? (a) t (b) l (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6488*v**2 + 66735 - 66735 as l*v**2 + y + a*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589287069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 53*c - 52*c - 2636, -4*c + 3512 = 4*i. Solve 867 = 3*w + i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 44*d**2. Let z(x) = 131*x**2. Let w(t) = 3*f(t) - z(t). Let l(m) = 0*m + 0*m - 8*m**2. What is l(w(r))?\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wecweccnnncccne. Give prob of picking 3 e and 1 n.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from hbhbglgr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-173)\/(39790\/276)*5\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 730 + -690. Let a be 612\/210*35\/d. Which is smaller: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 47 (c) -0.2 (d) -2 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2.8 (b) -2\/15 (c) 12 (d) 94\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -60088.\nAnswer: -60088, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3\/4 (b) 50 (c) 0.3 (d) -1\/6 (e) 1\/11 (f) -3 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 9488.\nAnswer: 94880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(20\/80)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -177, 0.3, -1, 1\/5, -2?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -2\/1015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 133575 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/(a**5*a))\/(a**(-4\/3)\/(a**(-1)\/a)))\/(a**(2\/5)*a\/a**(-4))**32 assuming a is positive.\nAnswer: a**(-2737\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**4\/2 + 25*m**3\/2 - 20*m**2 + 10*m = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o**2*z**4 - 23*o**2*z**2 - 23*z**3 + z**2 wrt z?\nAnswer: 144*o**2*z - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(480)*-4)\/sqrt(8))\/(6*(sqrt(432) + (sqrt(432)*3 - sqrt(432) - sqrt(432)))).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*a + 14, -c - 20 = -5*a + c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34467 = -9*b + 7494. Let c = 56967\/19 + b. Is 0 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*v = 1404, 5*g - 1744 - 610 = -2*v. Suppose 0 = 4*z - 4*a + g, 2*a = 4*z + 427 + 53. Does 21 divide (-1)\/(2*1\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 63*i - 3. Let f be j(1). Let q be (-46)\/(-10) - 36\/f. Is 19 a factor of 0 + (291 + -3)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2249.5 + -2250. What is the fourth biggest value in 0, 3, u, -0.2, -415?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29836113661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15*-2004\nAnswer: 30060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -22*c - 4. Let k(l) = -7*l - 1. Give -16*k(n) + 5*q(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-174)\/116)\/(9\/(-2)). What is the closest to -1\/2 in -2\/7, s, -203?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 36*u + 95. Does 45 divide c(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/22432? (a) -5 (b) 4\/3 (c) 4 (d) 5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, -141, -1 in increasing order.\nAnswer: -141, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 809\/33 - 279\/11. Calculate the common denominator of y and 38\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86363 + -44347. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o. Let x(a) = -5 + 1 + 4 + 3*a**2. Give n(x(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10252 is divided by 4908.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -5d?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2108382318 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 1, n: 1, e: 1, o: 1}. What is prob of picking 1 n and 2 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 9:40 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11224 + 5.11224. Sort -0.3, f, -2\/3, 0.4, -227 in increasing order.\nAnswer: -227, -2\/3, -0.3, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -19. Sort 2\/9, 5, u in decreasing order.\nAnswer: 5, u, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2 + 82518*w - 1702305081 = 0?\nAnswer: 41259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 8:32 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-1)\/(-1))\/((54\/3)\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 1\/44 (c) -35\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*26\/(-4368)*-14.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.787 + 0.213. Which is the biggest value? (a) -6 (b) -3\/5 (c) 0.2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 6, s: 3, u: 3}. Give prob of picking 1 u, 1 z, and 1 s.\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6183\/7 + -890. Calculate the common denominator of u and 68\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/16866 and 101\/511602?\nAnswer: 1534806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 18. Let a = 4 + r. Let z(v) = -92*v**3 - 8*v**2 + 17*v - 6. Let l(b) = 147*b**3 + 12*b**2 - 26*b + 9. Let s(h) = 5*l(h) + 8*z(h). Give s(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8725505692 to the nearest integer?\nAnswer: 2059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2037 - 2032. What is the nearest to 0.3 in -0.17, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + 666\/21. Suppose -w + 3*h + 20 = 0, 2*h = -3*w + 22 - 6. What is the highest common factor of w and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-108) + (-4)\/(3 - -13)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 4*a - 8*a - 5*y, -3*y = 4*a - 37 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.095 - -0.295. Which is the closest to o? (a) -0.1 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven tenths of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - 6*b - 3. Let f = 16 + -22. Let j(m) = -5*m**3 + 294*m**2 + 59*m + 48. What is the remainder when x(f) is divided by j(59)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11005\/(-124))\/(1*(-3)\/12). Which is greater: 354 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 36*p**2 + 3 + 37*p**2)*(19 - 10 + 15)*(6*p**2 - 4*p**2 - 3*p**2).\nAnswer: -24*p**4 - 96*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -8)\/((2\/(-12))\/1). Let n(x) = 80*x**3 - 6 + 5*x - 40*x**3 - 41*x**3 - 6*x**2. Determine n(o).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.2, 539, 0.5, 0, 4 in ascending order.\nAnswer: -0.4, -0.2, 0, 0.5, 4, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose -f*p - 3*p = -40. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4564679810 - 4564679810 - 15*g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7542 + -5?\nAnswer: 753b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-13)*(40\/(-10))\/(-8)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -9 (b) 29 (c) 1 (d) 12 (e) -15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbbbbbbbrbbbrbbrb. Give prob of picking 1 r and 1 b.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1881976 and 29360?\nAnswer: 2936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -2\/5, -0.01, 0.4, -5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o**2 - 20*o + 30. Let a(n) = -2*n**2 + 2*n - 1. Let j(k) = 5*a(k) - v(k). Find u such that j(u) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 = 4. Suppose c = q*c - 69. Let p = c - 13. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*q - 822, 0 = 37*t - 39*t + 5*q + 1599. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 530153369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2342*q - 2343*q, -5*i + 1 = -6*q - 0 - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 18. Let l = 4 - d. Is 10\/(l\/(4\/(-2))) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1\/4, 0.065, -3?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by -2442685?\nAnswer: 117\/2442685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 82.836. Let l = w + -0.15. Round l to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - 13) + (139 - 144) - (1 - -6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/17 + 1105202*w\/17 - 5526060\/17 = 0. Calculate w.\nAnswer: -552606, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**2 + 17*b + 8. Calculate p(-5).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51223042 - 2?\nAnswer: -51223044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1531, 3049, 4567, 6085, 7603, 9121?\n\"Answer: 1518*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13385*d**4 + 8*d**2 - 40 wrt d.\nAnswer: -321240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r - 6. Let w be u(-8). Let k = -4 + w. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823, 829, 839, 853, 871, 893?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23918*z**4 + 9*z**3 + 5*z**2 - 2*z - 35851?\nAnswer: 574032*z + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**5\/70 - 3*d**4\/14 - d**3 + 35*d**2 - 481*d. Factor w(t).\nAnswer: 2*(t - 7)**2*(t + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 5 - 12*l + 15 + 19.\nAnswer: -9*l + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -15.\nAnswer: 31\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108064.\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -1. Let u be (-228)\/4 - (-1 + y). Calculate the common denominator of (2\/(-8))\/(8\/u) and -35\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 90. Let b be p(24). Suppose 4*n + 2*f - 68 = 0, 22*n - 26*n + 5*f + b = 0. Solve -2*c - n = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1))**(-2\/35)*(m\/(m*m\/(m*m**(-1))))**(-3\/2))**(1\/6))**(2\/9) assuming m is positive.\nAnswer: m**(109\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 times -3.2?\nAnswer: 262.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16595 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: Put 6\/13, 0, 11, -0.5 in ascending order.\nAnswer: -0.5, 0, 6\/13, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 13 + 2*(-13)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*i**3 - 15572*i**2 - 68872*i - 25056.\nAnswer: 4*(i - 783)*(i + 4)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-1)\/(-4))\/(6\/(-8))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1001\/168 - (12\/14)\/((-4)\/(-28))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**5\/5 - 38*r**4\/3 - 280*r**3\/3 - 272*r**2 + r + 355. Factor j(i).\nAnswer: -4*(i + 2)**2*(i + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 24. Let b(z) = -25*z - 287. Let y(x) = b(x) - 12*s(x). Let v(p) = 11*p + 4. Calculate v(j) + y(j).\nAnswer: 10*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*k - 19136 = 268*k for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2. Let u(j) be the second derivative of -17*j**3\/6 - 13*j. Determine d(u(y)).\nAnswer: -578*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 3. Let q(s) be the third derivative of -5*s**4\/6 - 2*s**2 + 443. Determine q(t(z)).\nAnswer: -60*z - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*n + 501, -383*g = 3*n - 387*g - 760. Solve 0 = -242*r + n*r - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 72, -3, -1, 1\/5, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754459, 1508911, 2263349, 3017767, 3772159, 4526519, 5280841?\nAnswer: 6035119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 2 - 4 + 0)*(-27 - 71 - 361).\nAnswer: 2295*d**2 + 918","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 8\/9*c**3 - 32\/3*c**2 - 38*c - 2 - 1\/36*c**4. Find j such that l(j) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129128.\nAnswer: 2, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a millisecond in microseconds?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2505*j**3 + 2490*j**3 - 7485*j**3 + 2488*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1310 - 675 + 2*g**2 - 635. Let h(s) = -203*s**2 - 1. What is h(w(j))?\nAnswer: -812*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 8:14 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 8, 1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1455?\nAnswer: -2\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, -3, -4, -13 in increasing order.\nAnswer: -22, -13, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - y - 1. Let n(t) = -4*t**2 - 17*t + 2. Calculate n(o) + 3*z(o).\nAnswer: -o**2 - 20*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + n - 1396 = 184, 0 = -5*d - 4*n + 1964. Suppose 24*m + d = 25*m. Calculate the highest common factor of 44 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 3. Let q(k) = 3*k**2 - 19*k - 7. Suppose -3*p + 0*v - v = -20, -5 = 5*v. Let o be q(p). What is the highest common factor of o and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a - a + 4*a)*(-1 + 1 - 2*a) - a + a - a**2)*(-4 + 2 - 4)*(-2*a + 4*a + 0*a).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 9*y**2 - 11*y + 20. Let g be d(6). Let u = -58 + g. Solve -5*w + 20 = -u*c - 3*w, 2*w - 8 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2752*f**3 + 1660 - f**2 - 5517*f**3 + 2764*f**3 in the form s + v*f**3 + h*f**2 + k*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 133831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/((-99)\/(-30) - 3). Let n(m) = -m**2 - 3*m + 5. Let x be n(-4). Solve 4*q + 19 = -4*r - x, -a*r - 12 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1461, 2924, 4387?\n\"Answer: 1463*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.3. Let i be (-42)\/(-30) - (-27)\/135. Which is the biggest value? (a) 1 (b) l (c) 3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -22. Put 16, 2\/7, x in ascending order.\nAnswer: x, 2\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:18 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 8*i**2 - 5*i + 6. Let c be s(0). Solve 0 = -c*n + 7*n + 6 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:01 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 347*p**2 - 5*p + 43. Let k(r) = 351*r**2 - 6*r + 49. Determine -7*a(q) + 6*k(q).\nAnswer: -323*q**2 - q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 991989 + 83390 = 6*x - 1046167. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:49 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 24*t**3 - t**2 + t - 1. Let u be z(1). Suppose 5*o - u = -2*j - 8, 5*j = 0. What is the derivative of -2 + 0*w + o + 2*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 487.4, 0.05, 0.4 in descending order.\nAnswer: 487.4, 0.4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -822 + 845. Let x(z) = -z - 7. Let u be x(-12). Suppose u*v - 17 = t. Solve 4*s - v = -0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7132 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + 3 - (-8 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q + 1. Let s(v) = 4*v - 1. Let y(j) = 5*h(j) + 6*s(j). Let o(g) = -82*g + 3*g**3 + 234*g - 3 - 74*g - 81*g + 0*g**3. What is o(n) - 3*y(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -538851 + 162?\nAnswer: -53869a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15*(-4)\/(-6))\/1. Let w = 0.144 + -0.344. What is the closest to 0 in w, b, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3012 is divided by 135.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v + 1 = y, 0 = 3*v. Suppose -l - 25 = -6*l. Suppose 4*w + l*q = -9, 0*w - q = 3*w + 4. What is the nearest to w in -4, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29411567.\nAnswer: 29411567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 5, z: 4}. Give prob of sequence ttzj.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 - 5*p**2 + 5*p. Let b(i) = 4*i**3 + 8*i**2 - 8*i. Determine 5*b(v) + 8*x(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/(-6) - 6\/9. What is the smallest common multiple of 6 and (-38)\/i + (-5)\/(-20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -40\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13550762 is divided by 39622.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191090 is divided by 27255?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b**3 - 7*b**2 - 7*b + 12. Let p(u) = 4*u**3 - 2*u**2 - 2*u + 4. Let w be 2\/(-2)*(0 - -2). Let i(v) = w*o(v) + 7*p(v). Differentiate i(a) wrt a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640 = -240*c + 160 + 160 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2374220 and 612.\nAnswer: 21367980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 1013763.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 - -83. Let i(w) = w - 2. Determine i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1808\/1633, -2\/5, 9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 147, -31, -4, 17 in descending order.\nAnswer: 147, 17, 6, 2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 425, -2, 7 in decreasing order.\nAnswer: 425, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/2 - 6412*b = 0.\nAnswer: -12824, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 535, -5, -4, 3, -89 in decreasing order.\nAnswer: 535, 3, -4, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29 from 15.93.\nAnswer: -13.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 473\/(-33) + 13 + -2\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163*2.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 100. Find the second derivative of 4*c**3 - 380 - 7*c + 380 + k*c**3 wrt c.\nAnswer: 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, -5, -20\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 23*t**4\/12 + 4*t**3\/3 - 4*t**2 - 18*t. Let p(c) = 8*c**2 + 3*c - 3. Determine -3*o(f) + 8*p(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**2\/2 + 1842. Let v(u) = -779*u**2. Calculate v(g(l)).\nAnswer: -779*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7479127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {b: 1, o: 5, a: 1, y: 1, k: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 9:11 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 32 - 8 = 0. Let s(i) = -i**3 - 7*i**2 - 6*i + 7. Let z be s(p). Let d(t) = 0 - z*t**2 + 0. Determine d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 3.046?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71418 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 76.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from djpjpdddppddj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/7, -14, 3\/5, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38935040 divided by 116224.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l. Solve -2*m + 18 = 3*j, -3*m + l = -2*j - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 4. Let k = -40522 + 40568. Calculate the remainder when k is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 83631045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*b + 49 = 0, 5*b + 8 = v - 6. Sort 1, v, 5, -5, 0.\nAnswer: v, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 1 - 3)*(3 - 6 + 2) - 5 - 7 + 2)*(2*q**4 - q**4 - 2*q**4) to p*q + m*q**2 + a + j*q**3 + r*q**4 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 1, a: 16}. Give prob of sequence ag.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 1\/6*n**3 + 13*n + 7\/2*n**2 + 0. What is i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7))\/a*a\/(a\/(a*a*a**(-2\/65)))*(a\/((a*a**0*a*a)\/a)*a)**(-12\/13))**(-1\/14) assuming a is positive.\nAnswer: a**(-513\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 12844*j\/5 - 10111758\/5.\nAnswer: 2*(j - 7131)*(j + 709)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Let m(s) = s**2 + s**2 + 4 - 4*s - 4*s - x*s**2. What are the prime factors of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 769 + -743. Suppose 75 = 5*a + 4*t, -6 = -5*t + 19. Calculate the remainder when z is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 13*d - 4. Let n(u) = -7*u + 2. Let i be (8\/10)\/((-2)\/15). Let k(x) = i*z(x) - 11*n(x). Let b be k(-3). Sort -3, 4, b in increasing order.\nAnswer: -3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/576 and 89\/2?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216247?\nAnswer: 43, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {n: 2, k: 1, p: 2, z: 1, i: 2, c: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (3 - (2 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55376174*l**3 + 6*l**2 - 2808760?\nAnswer: 332257044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**3 - 10*r**2 - 3 - 6*r - 4*r + 5*r**3 - 6. Let t be z(-9). Let w = -4 + 6. Solve 2*x + 2 = -2*p - 0, -5*x + w*p - 5 = t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 2. Let z be q(-9). Suppose -2*l = -8 - z. Suppose -3*r + l = -0*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, n: 4}. What is prob of picking 4 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 21*p + 7. Let b be i(15). Let w = b + 61. Put w, 0, -3 in descending order.\nAnswer: 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 34*w - 5. Let x(j) = 3*j**2 + 14*j - 2. Let l(s) = 2*o(s) - 5*x(s). Let n(h) = 9*h. Give n(l(d)).\nAnswer: -45*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 41048\/21 + -7 + 6\/(-9). Calculate the greatest common divisor of 33 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, 2.5, -3195?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1436*t - 325412 = -792*t - 4946*t + 105028 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 smaller than 467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -51c (base 13) to base 4\nAnswer: -31212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0*f**6 + 0*f**7 + 0 - 5\/28*f**8 - 11\/12*f**4 + 0*f**5 + 0*f**3 - 14*f + 0*f**2. What is the third derivative of o(m) wrt m?\nAnswer: -1200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -5, -613 in decreasing order.\nAnswer: 6, 4, -5, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 152\/4 + 2 + 8\/(-4). Suppose -p*z + 36*z + 934 = 0. What are the prime factors of z?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 4*n**2 + 4*n - 2. Let d be b(3). Is -5\/11 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -260 + 184. Let y = o + 75.999838. What is y rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(5*(0 + sqrt(320)) - ((0 + sqrt(320) - sqrt(320))*-6 - sqrt(320))**2)*-6.\nAnswer: -720*sqrt(5) + 5764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x**3 - 18*x**2 + 9*x + 512. Let s(o) = -3*o**3 + 4*o**2 - 2*o - 128. Determine -9*s(y) - 2*t(y).\nAnswer: 5*y**3 + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 331*d**2 + 3226*d + 4711. Calculate l(-321).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1295 + -1261. What is the highest common factor of r and 1156?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = -2*g - 2*g, 2*u = 4*g - 12. Let i be (u\/3)\/(4\/(-12)). Suppose 75 = v - 2*r, 3*r + 325 = 8*v - i*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -186737 - 9000677.\nAnswer: -9187414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and 489.75.\nAnswer: 500.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 + 218. Solve -l - 10 = -2*l + 4*j, -20 = -5*l + q*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/5 + 17*o**3\/5 + 94*o**2\/5 - 1652*o\/5 - 3528\/5 = 0.\nAnswer: -9, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1\/7))\/(y**(-1\/3)*y))**38\/((y**3\/(y*y**(2\/17)))\/(y**(-2\/23)\/(y\/((y\/(y\/(y**(7\/3)\/y)))\/y*y)))) assuming y is positive.\nAnswer: y**(119339\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -304*p**3 - 2*p**2 + 2*p + 2. Does 6 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.67 - 1.07. Let h = 70 + -58. Let p = h - u. What is p rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26864\/41 and -0.351 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*q - 86, 4*p = 3*p + 5*q + 19. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.31928 - -5.133. What is y rounded to three dps?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -464375, -464322, -464269, -464216, -464163, -464110?\n\"Answer: 53*c - 464428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cczs when four letters picked without replacement from {z: 3, s: 2, b: 2, l: 2, c: 4, k: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -16. Let m(w) be the second derivative of -w**2\/2 + 19*w. Let a(j) = -j + 9. Calculate b*a(t) - 36*m(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Let m(f) be the first derivative of 6*f**2 - 3*f - 1. Is m(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/23))\/(r**0*r))**(7\/4)*(r*r**(-1\/3)\/r)**(-1\/19)*((r\/(r*(r\/(r*r\/(r\/r**(2\/15))*r*r)*r*r)\/r))\/r)\/r**4 assuming r is positive.\nAnswer: r**(-48467\/13110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 3. Let s = 7.89 + l. Let q = -0.10948 - s. Round q to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62640255 or 62640254?\nAnswer: 62640255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9186*o - 1 + 1 + 9190*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8 + ((-51)\/6 - 1) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*w + 20, -4*i + 5*w + 9 + 3 = 0. Let m be 1 - (i - (-2)\/2). Let v(n) = n - n + m*n. Let g(u) = -2*u. Determine g(v(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 0*k + (-4 - 2 + 5)*(4*k + 25*k - 10*k) - 4*k - 3*k + 2*k)*(-2*k**3 + 0*k**3 - 6*k**3).\nAnswer: 200*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*i - 5*i - 9*i)*(3*i**2 + 6*i**2 + 5*i**2).\nAnswer: -224*i**3 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-2 + 0 + (-18)\/18. Let d(h) = -h**4 - 24*h**3 + 37*h**2 - 12*h. Let i(f) = -12*f**3 + 18*f**2 - 6*f. Let a(n) = l*d(n) + 7*i(n). Factor a(j).\nAnswer: 3*j*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -2030503?\nAnswer: 2030501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380 by -76.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 120 = -4*i + 128, -3*a + 4*i + 664 = 0. Let t = 855 - 1443. Let d = t + a. 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 h(n) = n**2 + 4*n + 3. Let j be h(-5). Suppose a = j - 3, 5*a = -4*i + 29. Let l be i\/(0 + 1\/3). Solve d - l*q + 4 = -7*q, 2*q = -4*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6116 a factor of 271473886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -62385.868.\nAnswer: 6238.5868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -12 + 11 + (3 - -9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 353 + -365 + (5 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*j + 4 = 3*j, a + 3*j + 20 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*k**2 - 1 - 317*k**2 + 2.\nAnswer: 31*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 + -220. Suppose 11*j - w*j + 1261 = 0. What is the lowest common multiple of j and 7?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438 + -442. Which is the biggest value? (a) -10 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 2*p**2 - 2*p + 1. Let i(b) = 5*b**3 + 5*b**2 - 5*b + 3. Let f(w) = 3*i(w) - 7*z(w). Calculate f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1.9659.\nAnswer: -0.98295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 - 332380*j**2 - 467196880*j - 162478555200 = 0. What is j?\nAnswer: -692, 67860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115632 is divided by 28903.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 650348*z**3 + 4716871*z.\nAnswer: 3902088*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5456745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -47. Suppose 4*x = k*x + 28. Suppose -8*i = -x - 26. Solve 2*a + 4*w - 2 + 4 = 0, 3*w + i = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**3*t**4 + 707*p**3*t**2 - 2*p**3 - 468*p**2 + 8*p wrt t.\nAnswer: -8*p**3*t**3 + 1414*p**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160067\/681335 - 37\/3169. Calculate the common denominator of w and 29\/43.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 - 4 = -5*h, 0 = -3*h - 3*m + 15. Solve h*n + 4*i + 31 = -i, -4*n - 4*i - 32 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*w**2 + 211*w**2 - 5*w**2 - 12*w**2 - 21*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(2200\/171600)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/13 - (-13)\/((-2028)\/128). Which is the closest to z? (a) -0.3 (b) -1 (c) -0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15990846?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:42 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5345750 is divided by 461?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 148162.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 3081.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 544 = -569. Let m = h + 181. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 + -250952?\nAnswer: -250107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 155310425 (base 6) to base 9\nAnswer: 6245888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010101011010000000010 + 1?\nAnswer: -10010010101011010000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by 112.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*g - 42, 2*j + 2*g - 28 = -g. What is the greatest common divisor of j and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -8. Let z = p + 5.1. Which is smaller: z or 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**3 + x - x**4 + 1 - 9*x**3 + 18*x**3 in the form y*x**2 + v*x**4 + p + a*x + m*x**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 t when four letters picked without replacement from ttutkkkktttukkktkt.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)*(c**25*c*c)\/c*(c*c**(-1))**(-4\/13))**(-13) assuming c is positive.\nAnswer: c**(-247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2991\/1456 - 22\/91. Suppose -2*j + 4*j + 5*q - 193 = 0, -5*j = q - 425. What is the common denominator of (3\/j)\/(4\/(-632)) and t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -6\/47, -0.3, -4?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) + sqrt(68)\/sqrt(4)))**2 + 5 + 5 + -2*(sqrt(17) + 1) + 0.\nAnswer: -2*sqrt(17) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/2 - (-3 + 26 + -16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2*(-3)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/25*5\/(-6)*21\/105.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1476*w + 2. Let z(t) = -7*t - 9. Determine o(z(c)).\nAnswer: -10332*c - 13282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 318*s**2 - 975*s + 654.\nAnswer: 3*(s - 2)*(s - 1)*(s + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.901027 rounded to zero decimal places?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let m(n) be the first derivative of -10*n**3\/3 + 14. Give g(m(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 92*u\/5 - 91\/5.\nAnswer: -(u + 1)*(u + 91)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -168 in -5, -9.7, 0.1?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from dsrnn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**31*i**37*(i**14)**20 assuming i is positive.\nAnswer: i**348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26902733 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -0.1, -0.051 in ascending order.\nAnswer: -79, -0.1, -0.051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -45, -2\/13, 4?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 574769.44 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {m: 1, t: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 929886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 8*u - 10*u. Let w = u + -31. Suppose -6*s + 20 = -2*s, -w*n + 488 = -2*s. What is the remainder when n is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 3*f + 5*k, 8*f + 2*k - 110 = 4*f. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((17\/6)\/17)\/((-6)\/1488). What is the greatest common divisor of 3782 and i?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = -77 + 55. Let w(i) = -i**3 - 4*i**2 - 5*i - 3. Calculate w(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2144 and 2948.\nAnswer: 23584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:46 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.07, -0.3, -1, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/12 + (0 - -1). Suppose v = 3*m - 6. Let j be 1 - (1\/((-2)\/m))\/(-2). Solve j = -z + 6*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - 431011?\nAnswer: -431110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Suppose 2*i = k + 56 - 21, -g*i = 2*k - 38. What is the smallest common multiple of 12 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44164 (base 9) in base 16?\nAnswer: 7273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4224)\/1100)\/((-6)\/20) + -5 and ((-46)\/102)\/(1\/3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/12572840 and 131\/616069160.\nAnswer: 616069160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 226459 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 43. Is 24 a factor of ((-3)\/18*s + -3)*177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 1:51 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, -212, -751, -1592, -2771, -4324, -6287, -8696?\n\"Answer: -6*v**3 - 97*v**2 + 60*v + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7024326?\nAnswer: 2, 3, 1170721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1243 + -220120?\nAnswer: -213322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 + 4276*c**2 + 102912*c + 618048.\nAnswer: -2*(c - 6438)*(c + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -104, -189, -310, -479, -708, -1009?\n\"Answer: -2*h**3 - 47*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) - (-3)\/6. Suppose -4*u = -h*u. Put 4, -2, u in decreasing order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117\/2 + -59. Sort 1.32, w, 5 in decreasing order.\nAnswer: 5, 1.32, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10665 - -15813. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7168 divided by 1792.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*a = 4*r - 13, -3*a = 3*r + 3. Let g(w) be the first derivative of w**4\/2 - 2*w**3\/3 - w**2\/2 - 1. Let u be g(r). Solve 4 = 2*l - u*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -40. Calculate the greatest common factor of 30 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**17)**(-3\/11) assuming g is positive.\nAnswer: g**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3 + 608615*d**2 + 1328007*d.\nAnswer: -18*d + 1217230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.9. Let q = 1755\/71 + -3439\/142. Let a = -4.4 + -0.6. What is the third biggest value in a, q, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 30 = 5*n. Suppose -s + 15 = 5*q - 6*s, 0 = 3*q + s + n. Let v(j) = 2*j**2 - j - 1. What is the units digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*l + 6 = -9, 2*k = 5*l - 10. Let a = 8 + k. Suppose -6*j = -a*j - 210. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 31.3 (b) -3 (c) -6 (d) 0.05 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-4))\/((-21)\/56). Let z(x) = x**2 + 127*x - 3. Let o be z(0). Put -2, s, 3, o in decreasing order.\nAnswer: 3, -2, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -12, 42, 138, 288, 504, 798, 1182?\n\"Answer: 2*u**3 + 3*u**2 + u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 g when four letters picked without replacement from {g: 13, f: 5}.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -212191, -849248, -1911009, -3397474?\n\"Answer: -212352*f**2 - f + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54\/5 + -56\/5. What is the closest to 0 in f, -5, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19181 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244 - 240. Let l(t) be the second derivative of -1\/90*t**5 + 1\/54*t**n + 0 + 2\/27*t**3 + 0*t**2 + 5*t. Find r, given that l(r) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:56 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1192*i**3 + i**2 + 2*i - 3. Calculate the remainder when w(1) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81753281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -8 - (2 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*k, -q - 3 = 3*k + 2*k. Let d(u) = u**2 - 1. Let m(j) = -4*j**2 + j - 7. Let p(b) = 4*d(b) - m(b). Is p(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*t + 35, -5*t - 27*n + 35 = -32*n. Sort t, -1, -6616 in descending order.\nAnswer: t, -1, -6616","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 12*c**2 + 6*c - 1. Suppose -2*q = -0*q - 3*y + 23, 4*q + 37 = -3*y. Is o(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 8 + -3)*1. Suppose -2 = i + 3*t, -5*i = -3*i - 5*t - b. Let f = 63.2 - 63.3. Which is bigger: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 19*i + 12. Determine q(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36b - -3?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 37704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x. Let i(s) = 38391*s. What is f(i(z))?\nAnswer: 268737*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18478621 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -299*t + 9. What is m(1)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 5*z + 185. Let r(a) = a**3 - 6*a**2 - 6*a - 7. Let s be r(7). What is the units digit of y(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464 and 38438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2\/(-2) + 54. Let x = 83 - b. Suppose 10*a + 432 - 1492 = 0. What is the remainder when a is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -1 - (15 - 35) - 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4)*1 - 1. Let u = 158.4 + -159.4. Put 1\/10, u, x in ascending order.\nAnswer: x, u, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 65.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1107 and 98064.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + 0.07. Suppose 3*y - 6*y = 15. Let n = y + 9. Sort -1\/3, n, p in increasing order.\nAnswer: -1\/3, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -7\/6*c**3 - 1\/12*c**4 + 0 - c**2 + 3*c. Let h be k(-6). Is 4 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 23 = -5*r, -r + 11 = 4*u + 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 220*p**2 - 310*p + 71. Is t(38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -11. Let u = 4 + f. Let k = -0.1 - u. What is the closest to k in 0.1, 0.4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/4 - (-30)\/120.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {t: 2, c: 9, i: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366 by -134036.\nAnswer: -183\/67018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/60 + s**4\/24 - s**3\/3 + 1465*s**2. Determine u(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -3*g - 5*q, -15503*g = -15507*g - 5*q - 49 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*m - 334719, -4*p + 5*p - 446311 = -4*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -0.5, -2, -0.6, 7 in increasing order.\nAnswer: -5, -4, -2, -0.6, -0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k - 26 = -4*w, -5*w = -4*k - 28. What is the derivative of 0 + w + 0*o**2 + 2*o**2 wrt o?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.169262 and -0.3?\nAnswer: -0.0507786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a*p*u**3*z + 129*a*p*u**2*z + a*u**2*z + 22*p*u**4*z - 3*p*u**4 + p*u**2*z + 2*u**2*z wrt u.\nAnswer: 36*a*p*z + 528*p*u*z - 72*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187631 smaller than 1187629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*w + 6, 3*w - 5 = -2*i + 4. Which is smaller: i or 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322390 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: Two letters picked without replacement from {f: 1, k: 1, q: 3}. What is prob of sequence kf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.146?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((3960\/(-462))\/15)\/(((-368)\/7)\/8)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4955491*d**5 + d**2 - 89*d + 6201.\nAnswer: -297329460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 6)*(0*n + n - 2*n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**2 + 38*b**2 + 23*b**2 - 65*b**2.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52728288?\nAnswer: 2, 3, 17, 32309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -16. Solve -u*z + 4*l = 0, -3*l - 1 = 3*z - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -0.0725, 2 in descending order.\nAnswer: 54, 2, -0.0725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 17, -0.3, 0.2, 1\/2474, 3, 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 417 - 414. Suppose -170*v + 167*v + 5*m + 22 = 0, -t*m = 6. Solve k + 4*k = -v*n - 25, 4*k + 20 = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r**2 - 1. Let m(g) = 9*g**3 - 124*g**2 + 3*g + 4. Determine 5*a(z) + m(z).\nAnswer: 4*z**3 - 134*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0*q - 5*v = 13, -4*q + v = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3248*c**2 + 324*c + 284 = 0. Calculate c.\nAnswer: -1\/4, 71\/203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)\/x*x**(-3\/4))**8*(x*x\/((x*x\/((x*x**(-3))\/x))\/x))\/(x\/x**4*x)*(x*x*x*x**(2\/7))**(-21\/4) assuming x is positive.\nAnswer: x**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 40. Sort 0, -6, n in ascending order.\nAnswer: -6, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*r - 0*j - 32, -5*j = -4*r + 36. Let t(p) = -4*p. Let f(o) = 3*o. Give r*t(x) + 4*f(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76b6 (base 14) to base 15.\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 1592*s\/3 + 316808\/3.\nAnswer: 2*(s - 398)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 22, -102, 974 in increasing order.\nAnswer: -102, 0, 3, 22, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*l**3*q*r - 12*l**2*q*r + 2*l*r - 2*q*r - 20*q - 3*r wrt l?\nAnswer: -27*l**2*q*r - 24*l*q*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsg when three letters picked without replacement from gfpgsfssff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (360*g + 14 + 30 - 44)*(g**4 + 0*g**3 + 0*g**3).\nAnswer: 360*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -n - 65, l + 6 - 19 = -3*n. Let k = -52 - -104. Suppose 6*a - k = 26. Calculate the highest common divisor of a and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 40 = -21*z. Sort z, 4, 3, -4 in increasing order.\nAnswer: -4, 3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 4:38 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-4))\/(6\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5725.738 decades to centuries.\nAnswer: 572.5738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 364810*w**2 + 5837920*w - 23352960.\nAnswer: -5*(w - 8)**2*(w + 72978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/17)\/(53\/((-2703)\/(-6))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 19*p**2 - 312*p - 1026. What is w(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.3, -0.16, 0.3, -6\/11, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5158\/15 or -345?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 4*t + 6*t)*(338 - 673 + 2*t**2 + 339 - 4*t + (t**2 - 4 + 4)*(13 - 37 + 8)) in the form u*t**3 + q*t + a + r*t**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101, 169, 223, 257, 265?\n\"Answer: -b**3 - b**2 + 78*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 60.5. Let r = -5.5 + t. Which is the second biggest value? (a) -4\/5 (b) -7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 32 = -20. Suppose -3*l = -9 - 0. Which is the third biggest value? (a) s (b) 0 (c) -2\/7 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l = 44*l - 878220 - 1732379. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 0)*(0*t**2 + t**2 - 4*t**2)*(-2*t**2 + 0*t**2 + t**2) - 5*t**4 + 2*t**4 + 4*t**4 + (-2*t + t**2 + 2*t)*(-2*t**2 - 2*t**2 + 2*t**2).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511 greater than or equal to 4513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130815 is divided by 1200.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 + 2*m - 4. Let c be s(0). Let t be (-20)\/c*(4 - 3). Calculate the highest common factor of t and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-2)\/2)*3. Suppose 16 = 5*x - 3*s, -4*s + 3 = -j*s. Suppose x*w = -5*n + 15, 3*w = -2*n + 5*n - 3. Solve 3*p - 5 + n = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 64000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 890, 892, 894?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22863 plus 0.2398?\nAnswer: -22862.7602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 165*l - 298. Calculate the remainder when d(77) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) + (-7)\/(-39) + (-247884348)\/(-11388) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99061 divided by 1679.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.045? (a) 1\/3 (b) 10 (c) 0 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4610, 9083, 13434, 17657, 21746, 25695, 29498, 33149?\nAnswer: 36642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand 42 - 46 - 2*x**3 + 0*x**3 + 4*x**3 - 2*x**3 + 3*x**3 + (2*x - 6*x - x)*(-x**2 + 0*x**2 - x**2).\nAnswer: 13*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -16*m + 12. Find o, given that 12*o**3 - 3*o**m + 0*o - 6*o**3 - 6*o + 3*o**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101111000101110111000 + -1?\nAnswer: 1010101111000101110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (36 - 35) - (-2 + -4 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*y + 61*j**2 + 2*j*y - 177*j + y wrt j?\nAnswer: 2*y + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -120, -140, -160?\n\"Answer: -20*f - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2141 + 2133, 0 = s - 2*m - 383301. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3540 = 26*p - 16*p. What is the tens digit of p*-1*(-8)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 3*w + 1. Let u be n(2). Let t(j) = j**2 + 10*j + 5*j - 10 - u*j. Let q be t(-13). Solve -o = -4*o + q*d + 18, -3 = -3*o - 2*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 4074?\nAnswer: -4077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -774*c**6 - 646*c**6 - 305243*c**2 + 301201*c**2 wrt c.\nAnswer: -170400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + 5*i + 2*i**2 + 0 - 3*i + 2. Let x be 2*-1 - ((-16)\/1)\/2. Let j(h) = -7*h**3 + 5*h**2 + 5*h + 5. What is x*j(n) - 15*c(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5408 + 232129.\nAnswer: 237537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*n + 95 - 95)*((5*n**2 - n**2 - 2*n**2)*(0 + 6*n + 0) + 4*n**3 - 4*n**3 + 7*n**3).\nAnswer: -513*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f + 14 - 14 to the form p*f + l and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(20*q - 37*q + 1 + 20*q) as z + o*q and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 108 + 108)*(-15 + 2 - 2) + (2*h + 2*h**2 - 2*h)*(0*h + 0*h + 2*h) + 0 + 2*h**3 + 0.\nAnswer: 51*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 65 = -35*k. Let c(p) = -6*p - 8. Calculate c(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**4 - 543*r - 7 - 534*r + 1074*r + 2*r**2 - 5*r**3 in the form k*r**2 + q + y*r**3 + z*r + n*r**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-4)\/18*-3). Let l = 6 - 1. Suppose -3*j - b = -l*j. Solve -4*v - 3*w = 8, -3*v - j*w = 2*v + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -19*t + 8*t. Sort -3, -38, t, -5 in decreasing order.\nAnswer: t, -3, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = -89 - 63. Suppose o*s = 19*s - 4829. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:57 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 9:01 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 12) in base 10?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4073.613 centimeters in kilometers?\nAnswer: 0.04073613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-14)*(-8 - -2)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19286893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20*l - 12. Let q(n) = 174*n + 106. Let r(b) = -52*c(b) - 6*q(b). Determine r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -644058783 divided by -3\nAnswer: 214686261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 9 - 9)*(-4*f - 5*f + 4*f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*z - 2 + 49 = -37, 162 = 2*m + 4*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1240 + -1261 + (2 + 0 + -4 - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1081, 1111, 1161, 1231, 1321, 1431, 1561?\n\"Answer: 10*p**2 + 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, h: 8, d: 2, b: 5}. Give prob of sequence mb.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-46160)\/192*4\/(-10)). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -22*m**3 - 5*m + 9. Let v(s) = 21*s**3 - s**2 + 4*s - 9. Let o(c) = -4*u(c) - 5*v(c). What is the thousands digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 25138.\nAnswer: 7541.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:55 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 6*h + 38 - 6*h.\nAnswer: -12*h + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 75139?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*11*(-7)\/14. Let t(w) = -28*w - 48. What is the tens digit of t(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 10 - (3 - 24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(8\/3)*w**(2\/9)\/w*w assuming w is positive.\nAnswer: w**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 + (-28 - -42) - 12) + (24 - -4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/12 - 1567\/9402.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + a**2 - a + 107*a - 107*a - 23*a**2 + (-1 - 2*a + 1)*(3*a + a - 3*a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:55 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-3)\/(-1))*(-40)\/(-8). Calculate the remainder when 158 is divided by 24\/(c*(-9)\/(-30)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + i + 2. What is the remainder when 73 is divided by l(4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 13*m**8\/840 - 2*m**4\/3 - m**3 - 31. Let x(h) be the third derivative of q(h). Find the first derivative of x(r) wrt r.\nAnswer: 104*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544 + 544 - 173*u**3.\nAnswer: -173*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -118224?\nAnswer: 1\/118224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(4\/3))\/f*f\/f**(1\/4)*f**(3\/5)\/f**(-5))**14)**(-36) assuming f is positive.\nAnswer: f**(-12642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/2)\/(a*a**(-29))*(a**(-3\/7))**(-1\/8) assuming a is positive.\nAnswer: a**(1543\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32889 + 32888.9808842. Round l to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 5*d = -x - 25, x = 5*d - 7. Suppose -n + 11 = x. Suppose 4*a - n*a = 268000. Round a to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 58, 123, 214, 331, 474, 643?\n\"Answer: 13*f**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1197, 1325, 1453?\nAnswer: 1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:59 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:27 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, d: 1, o: 1, q: 2, i: 1}. Give prob of sequence qd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/230*1\/(24\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 48. Let y be 35\/50*8\/f. Factor 4\/5*g + 0 - y*g**2.\nAnswer: -4*g*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**2 + 3 - 3 + 2*x**2 + 9*x**6 wrt x.\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051677 greater than or equal to 1051669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 - 27*f - 4. Give h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 15974.\nAnswer: 47922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-2)\/(-4)) + 56\/16. Suppose -5*z - 24 = -3*t, 0*t + 12 = 2*t - q*z. Factor -5*d**2 + 2*d**3 - 5*d**3 - 5*d**3 - 7*d**t + 5*d**4 + 15*d.\nAnswer: 5*d*(d - 3)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(4\/6)\/(22\/(-99)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3600726, 3600732, 3600738, 3600744, 3600750?\nAnswer: 3600756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjj. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 18*q**3 + 2*q**2 - q + 2. Let j be s(2). Calculate the highest common divisor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 11:09 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 16 (b) 7 (c) -2881.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d. Let w(c) be the first derivative of -c**3\/6 - 69*c**2\/2 + 55. Let a(r) be the second derivative of w(r). What is -a(s) - f(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 6*r + 1. Let d be v(6). Is ((-37)\/(-2))\/(d\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 126607265\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**3 - 692*d**2 + 1056*d - 4. Determine z(-88).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9138*j**2 - 40*j + 36. Let w(c) = -c**2 - 26*c - 4. Let p(k) = u(k) - 5*w(k). Find the second derivative of p(h) wrt h.\nAnswer: 18286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -19.908. Let c = 0.24638 + -0.338536. Let o = c - x. Round o to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**7\/42 + 3*a**4\/2 - 19*a**3\/2 + 3*a + 12. Find the second derivative of z(b) wrt b.\nAnswer: -20*b**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1020*t**2 - 1025*t**2 - t + 5 - 5 as x*t + a*t**2 + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.293 - -0.193. What is the third biggest value in y, -4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (33\/2)\/((-964479)\/25382 + 38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8297467*x - 10155950 wrt x?\nAnswer: -8297467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8831 divided by -14\nAnswer: 8831\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/15)*j*j\/(j*((j**(-2\/21)*j)\/j)\/j)*j*((j*j*(j*j**(2\/13))\/j)\/j*j)\/(j**(3\/5)*j*j) assuming j is positive.\nAnswer: j**(3434\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7*p\/p**(1\/2))\/(p*p*(p\/p**5*p*p)\/p*p**(-7\/5)\/p)*((p**0)**(16\/3))**(-47) assuming p is positive.\nAnswer: p**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 10. Let x be (i\/(-27))\/(-1 + 0). What is the third smallest value in x, 0.3, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6569 + 6569.3. Sort 278, -0.3, -1, v, -0.2 in ascending order.\nAnswer: -1, -0.3, -0.2, v, 278","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 18. Is 3 a factor of b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.88 + 0.58. Sort -0.5, -3\/7, k, 12 in ascending order.\nAnswer: -0.5, -3\/7, k, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 3765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/14234?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53872*d**3*p*s**3 + 2*d**3*s + 10122*d*p*s - p*s**3 + s**2 wrt s?\nAnswer: 323232*d**3*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293 divided by 44843.\nAnswer: -293\/44843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aa505b (base 12) to base 2.\nAnswer: -10101101101010000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, i: 3}. Give prob of sequence iie.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 6. Let h be i(6). Suppose 53 = y + h. What is the remainder when y is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 787*-0.1\nAnswer: -78.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 14*a**3 - 5 - 3.\nAnswer: 14*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - 290403\/(-12). Suppose -9*k - h = -7*k. What is k rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*u**4 - 28*u**4 - 31*u**5 - u**5 - 3*u**5 + 3*u**5 + 0*u**5 + 0*u**5 + u**5 + (0*u**2 - 4*u**2 + 3*u**2)*(-5*u**3 + 2*u**3 + 5*u**3).\nAnswer: -33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g - 49. Let f be p(18). Solve b - 3*u - 13 = 0, -2*u - 8 + f = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.2 and -12108769835.\nAnswer: -12108769833.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1 + (-6 - 3). Is ((-8)\/x)\/(4\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**3*y - 157*t**3 + 761*y with respect to t.\nAnswer: -6*t**2*y - 471*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2*24\/(-9). Let l = b + 4. Solve l = 2*t + 13 - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 48a3?\nAnswer: 48a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.9 + -15.8405. Round u to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 10*r**2 - 8. Let n be y(10). Suppose -47 = 3*m + h, -25 = 2*m - 3*h - 1. Let v = n - m. Calculate the lowest common multiple of 9 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 12*v - 138. Solve -l + 6 = -3*k, 5*k = -l + v*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose -20 = -2*u - t*u. Let m = 6 + u. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-2) - (11 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhsjjvl. Give prob of sequence shj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3)*-3)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w. Let n(b) = 25*b - 505. Let x be n(20). Let j(i) = 4*i. Let q(a) = 5*a. Let u(r) = 6*j(r) - 7*q(r). Determine x*z(l) + 2*u(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -486 and 0.1.\nAnswer: -48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0*p**2 - p**2)*(-9 + 4*p + 9 + (2*p - p + p)*(-1 + 6 - 3)).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07703384 times -10?\nAnswer: 0.7703384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62259?\nAnswer: 3, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 171337723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - 1)*(5 - 1 + 2) - 3*s - 1 + 1.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255515531?\nAnswer: 255515531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 1, -3\/592, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33292 divided by -4?\nAnswer: -8323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12631 (base 7) to base 6\nAnswer: 23431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 122 = 4*m. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 2:40 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 81, -9, -5 in decreasing order.\nAnswer: 81, -1\/12, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3.2.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 8:03 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y = 12*y - 470. Calculate the remainder when (-973)\/(-15) - (-6)\/45 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1295, 205, 0.1, 4 in increasing order.\nAnswer: 0.1, 4, 205, 1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 347 + -320. Solve 8 = o*d - 31*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4354112905 to the power of 1\/3, to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20686149 take away -0.03101?\nAnswer: 20686149.03101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*-2*sqrt(343) + 5 + -4 + -4 + -4 + sqrt(343) + 0 + sqrt(343) + sqrt(343) + 3).\nAnswer: 8 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 1:43 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -9. What is the closest to -0.1 in c, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/j**(-1\/2)*j))\/j)**(-1\/31)\/(j**(-1))**6)\/(j\/(j\/(j\/(j*j**0)))*j**(-3))**(-42) assuming j is positive.\nAnswer: j**(-7437\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 6. Let a be s(4). Let b(c) = a*c - 1 - 3*c + 6. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10649*y + 2050 = -10624*y for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + h**3 - 4*h**3 + 8*h**2)*(6*h + 3 - 3*h - 2).\nAnswer: -6*h**4 + 22*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 208547952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 11, 8, 37, -3 in increasing order.\nAnswer: -5, -3, -1, 8, 11, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-470)*-38*(-160)\/12768?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1524.8 + 1525. Let o = -9 + 6. Put o, x, -9 in ascending order.\nAnswer: -9, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 1. Let z(k) = -9*k + 2. Let m(o) = -7*c(o) + 4*z(o). Let d(y) = y. Let u(i) = -i. Let f(h) = 4*d(h) + 5*u(h). Determine 6*f(q) - m(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*q = -161*q. Let v(f) be the first derivative of f**3 + 8 + q*f - 1\/4*f**4 - f**2. Factor v(g).\nAnswer: -g*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**50*d*d**(3\/31)\/d assuming d is positive.\nAnswer: d**(1584\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221 + 298. What is the least common multiple of 35 and z?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/53610021 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-256)\/1216)\/(4\/(-76)). Solve 0 = t*x - b, 15*b - 12*b = -2*x - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247800 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 14. Let d(c) = c**2 + 22*c + 24. Let h be d(-21). Suppose 3*n = 2*b - 1, -h*n = -0*n + 3*b - 9. Which is bigger: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + n - 8. Let f(y) = -y**3 + 8*y**2 - 3*y + 25. Give 8*d(x) + 3*f(x).\nAnswer: -3*x**3 - x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113113?\nAnswer: 7, 11, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12212 is divided by 4014?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**8\/43680 + d**7\/16380 - d**6\/4680 - d**5\/780 + d**4\/12 - 9*d**2. Let f(j) be the second derivative of r(j). Factor f(m).\nAnswer: 2*(m - 1)*(m + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffh when three letters picked without replacement from {h: 18, f: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.9, 7\/4, -0.5, -122, -1.\nAnswer: -122, -1, -0.9, -0.5, 0.4, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2407.0922 to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6065092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnln when four letters picked without replacement from {l: 3, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/12 and -145\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/9)\/((-6212)\/(-23295))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 3 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**4\/12 + 3*k**2 + 20*k. What is the derivative of a(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19271 is divided by 107?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/90 and 14\/11?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149807264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*a = -1, 0*x - 7 = x + 3*a. Solve -x = 9*u - 7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3 + 2)*-3. Let a be (-1)\/k - (-5)\/(-10). Suppose 5*g - 384 - 721 = a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1970, -1984, -2008, -2048, -2110, -2200, -2324, -2488?\nAnswer: -2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 81. Let t(v) = 6*v - 14. Let k be t(4). Is (p\/k)\/((-1)\/(-22)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4426599 centuries in decades?\nAnswer: 4.426599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-10))\/(7\/(-385)*-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -4, -7\/26, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -1\/1344*y**8 + 0*y + 0*y**3 + 0*y**7 + 1\/240*y**6 + 0*y**5 + 0 - 3*y**2 - 1\/96*y**4. Factor l(w).\nAnswer: -w*(w - 1)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -87, -140, -193, -246?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 78 = -w. Let b be (-162)\/w + (-4)\/26. Suppose 98 = 2*q + b*x - 7*x, -4*x = 8. What is the remainder when q is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (2 + -1 + -3). Suppose v*d = -11 - 16. What is the units digit of -3*2\/3 - d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(5\/15))\/((-1)\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1749104 divided by 784\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2950 divided by 287.\nAnswer: 2950\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8809 divided by -383?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 55825 divided by -175\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -89 = -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2721\/10 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 1, p: 1, k: 5}. Give prob of picking 3 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256282537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19981400 rounded to the nearest one hundred thousand?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*f + 236*f + 50358 = 0 for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54168360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -74, -4009 in decreasing order.\nAnswer: -3, -74, -4009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**4 - 6*c**3 - c**2 - 4594*c - 8796613 with respect to c.\nAnswer: 20*c**3 - 18*c**2 - 2*c - 4594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 + 26 - 11) - (-110 - -38).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 - 22 = 0. Solve -7*k = -a - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 791 divide 575198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010 (base 2) to base 15.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z\/z**(-5)*z*z*z**(-7\/2)*(z**(-2))**16 assuming z is positive.\nAnswer: z**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 203*d + 4*o - 72 = -109*d - 51*d, 0 = 2*d - 16*o + 24 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yywy when four letters picked without replacement from wyppwpypwwpw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 17. Let l be c(12). Let o = l + -2. Solve 12 = -4*m + 2*q, 16 = -o*m - 0*q + 3*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109\/(-2289))\/((-1054)\/(-1428)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3924720 divided by 316.\nAnswer: 12420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 5 + -9)\/1. Suppose -2*h + 0*h + 4 = u. Solve h*m + 2*m + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 9:23 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(4) + sqrt(15))*-2)\/(sqrt(3) - (sqrt(3) + sqrt(27))*6)*-6.\nAnswer: -24*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(-2\/3)*a)\/a*a**(-6))\/(a**(1\/9)\/(a\/((a*a*a**(-5)*a)\/a))) assuming a is positive.\nAnswer: a**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*r = -3*y - 12, -3*r + 24 = 3*y. Suppose -4 = -a + 3*x, -y*a + 2*a = x + 23. Sort a, 2, 0 in descending order.\nAnswer: 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -186, 0.4, -13, -270?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15 + 1440\/(-2025)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8281 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n + 39*n + 4*n)*(8*n**2 - 2*n**2 - 3*n**2 + (0*n + 2*n - n)*(-3*n + 4*n + 0*n) + n**2 + 3*n**2 - n**2 + (2*n + n - n)*(0*n + 2*n - n)).\nAnswer: 495*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f + 12. Let a = -5 - -5. What are the prime factors of -1 + 0 + (a - f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3297 and -55\/206091?\nAnswer: 226494009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, x: 7, l: 4}. What is prob of sequence zz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 548 - 520. Solve u*j - 56 = 21*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3332981 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6)**40)**(7\/10) assuming v is positive.\nAnswer: v**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/7*(-7)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*q = 13, -14 = -4*u + 5*q + 7. Let i = -2.26 - -2.76. Which is the nearest to 0.2? (a) i (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 29. Let l be f(8). Let o(d) = -6*d**2 - 11*d + 5. Let i(a) = -a**2 - 2*a + 1. Let y(v) = 11*i(v) - 2*o(v). What is the units digit of y(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2355 and 6280.\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -1212, -2, 15 in ascending order.\nAnswer: -1212, -5, -2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306774 and 14589?\nAnswer: 497280654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (635*z + 176*z - 259*z + 504*z)*(2*z**2 - 2*z**2 + 6*z**2).\nAnswer: 6336*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -21*j - 209. Calculate s(-7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -137 - -139. Suppose q*r - r = -5*f + 88, -4*f = -r - 74. Calculate the remainder when 161 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 10:20 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 112, -1 in decreasing order.\nAnswer: 112, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - 46\/(-5). Let r = k + 5. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sixisnsisii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v = 39*v. Let u(s) = s + 10. Let w be u(-7). Suppose v = -w*d - 5 + 14. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 + 13 = 0. What is the smallest value in 4, 4\/7, f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105698533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5672 is divided by 5665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 2*x - 6. Let u be 10\/(5\/(10\/4)). Suppose -2*y + y = -u. Let v be r(y). Solve -b = -3*s - 12, 5*s - 4*b + v = 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*d + 34, 2*b + 2*d = 33 + 1. Let r(p) = -p**2 + 6 + 11 - b. Let o(a) = -a. Determine r(o(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 258, 517, 776, 1035?\n\"Answer: 259*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*m**5\/7 + 1356822*m**4\/7 - 2854143584*m**3\/7 + 54996902608*m**2\/7 - 24020291296*m\/7 + 2653263968\/7 = 0. Calculate m.\nAnswer: 2\/9, 19, 4178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520)\/(sqrt(10) - 2*sqrt(10)) + (sqrt(208)\/(sqrt(4) - 3*sqrt(4)) - sqrt(52)) - ((sqrt(13) - sqrt(637)) + -5 + sqrt(13)*3*-2)) + -4)**2.\nAnswer: 14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -569, -575, -605, -665?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*q + 58 = 0, 8 = s + q - 3. Suppose -s = -4*r - 3*j + 9, 0 = -5*r - j + 40. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42830, -171214, -385174, -684728, -1069894?\nAnswer: -1540690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -8) + 1 + -15. Let u be 52\/o + 1\/3. Let s be u*(3 - 7\/4). Sort s, 0, 4 in ascending order.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l**4 - 752*l**3 + 5891*l**2 - 13932*l + 10620 = 0. Calculate l.\nAnswer: -885\/19, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.9 - -9. Let x = g + -1.4. Let y be 5\/4 + (-3 - -2). Sort y, -0.1, x in decreasing order.\nAnswer: y, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13055, 13394, 13733, 14072, 14411?\nAnswer: 14750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w + 35. Let m be s(-3). Solve n + 2*n - 10 = m*l, -3*l + 2*n - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 + 508\/5. Let h = 0.04 + 0.26. What is the closest to h in c, 3\/4, -4\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 714 = 2*r, 5*d - 909*r + 906*r - 1783 = 0. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*q - 6 - 71*q - 5 - 78*q + 205*q.\nAnswer: -29*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptqt when four letters picked without replacement from ccqttptqtxctcq.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -711, -969, -1227, -1485?\n\"Answer: -258*x - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {x: 1, s: 3, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t - 1\/12*t**4 + 0 + 2*t**2 + 2\/3*t**3. What is the units digit of s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 2:51 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 32\/14)*(-5061)\/964 - (-35)\/14. Let 0*t + 96\/7*t**3 + 0 - 44\/7*t**5 + 0*t**2 - 520\/7*t**d = 0. Calculate t.\nAnswer: -12, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = 5*h - 307. Suppose -4*g + 57 = -h. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 5. Let h be j(0). Let m be (-118)\/(-5) + (-9)\/2*(-86)\/(-645). Solve m = -k - h*n, 2*k - 5*k - n = 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q + 103. Let g be y(-14). Let l be (-2)\/3 - 5\/(-3). Put g, l, -2 in decreasing order.\nAnswer: g, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/19)\/((a\/(a\/((a*a*a*a**(-2\/17)\/a*a)\/a)))\/a))\/((a\/a**(-1))\/a*(a*a*a**5*a)\/a)*(a*a**(1\/11)*a*a*a**(-2\/9))**(-6) assuming a is positive.\nAnswer: a**(-279263\/10659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*j = 2462 - 11484, 2*i = -2*j + 9004. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 - 13*x**2 - 96*x + 61. Is 55 a factor of z(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146581*d = 146580*d - 4*j + 4, -15 = -2*d - j for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + (3 - -1) - -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*f**3\/5 - 7798*f**2\/5 - 4432*f\/5 - 632\/5.\nAnswer: -2*(f + 79)*(7*f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 39. Suppose 0 = b - j*b + 962. Suppose -5*u + 373 = -b. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j + 76. Let z be s(4). Factor -232*k + 981*k**3 + z + 32*k + 85*k**2 - 886*k**3.\nAnswer: 5*(k - 1)*(k + 2)*(19*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 14. Let a be 6 - (1 + 0\/(-1)). Suppose 2*f - 29 = -3*q - 3*f, a*f + 35 = 5*q. Let s(h) = -5*h + 9 + 2*h - 18. Calculate q*s(b) - 5*p(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a + 325 - 85 = 36*a. Solve 11*z + 92 = -a*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 914 + -623. Suppose -221 = -4*n + g. What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 5*k + 5. Let m be c(5). Let o = 54 + -63. Let i(x) = x**2 + 9*x + 5. Let l be i(o). Solve -m*f + l = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (95*h - 77*h + 348*h)*(0 - 2 + 3)*(h - h - 2*h**2) in the form v*h**2 + k*h + z*h**3 + q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*u**3 - 433*u + 433*u + 0*u**3 + 4*u**3 - 6*u**3 + (-5*u + 0*u + 4*u)*(0*u + 0*u + 2*u**2) to c*u**2 + o*u**3 + b*u + k and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 1\/5 (c) 9 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6373424 (base 8) to base 15\nAnswer: -2392d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 9. Let n be o(9). Suppose n = -6*v + v + 20. What is the second derivative of -2*x + 2*x**4 + 2*x - x - x**v wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 1, -10\/11, -15, 17\/2, -3\/4?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:33 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1193346 and 2682603?\nAnswer: 659920338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 3 = 3*s. Let x(w) = 11*w**2 - w - 5 - w - 8 + 10 - w. Is 11 a factor of x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6115*m**2 + 3 + 0 + 0 + 0.\nAnswer: 6115*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(54\/31) + (596\/(-27) - -22)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -41. Let h(t) be the third derivative of -t**4\/24 - t**2. Let o(u) = -3*u. Give c*o(a) - 8*h(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -61751424*z**2. Let k(l) = 5*l**2. Calculate k(i(m)).\nAnswer: 19066191830138880*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 - 2*n - 4. Let o be (-38)\/(-18) + 5\/(-45). Suppose -5 + 13 = o*f. Determine u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 116\/44 + (11\/66)\/(132\/288). Find g, given that 1\/6*g**2 + 5\/6*g + 1\/2 - 1\/6*g**o = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + -14 + -4 + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.323 * 35.\nAnswer: -11.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-3\/10)\/f*f)\/(f*f**(1\/5)\/f))\/(f*f*f**(-6\/7)*f*f**(4\/7)))**(7\/3) assuming f is positive.\nAnswer: f**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 23*d**3 + 2*d**3 - 10 + 15*d**2 - 5*d**2 - 5*d - 20*d = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -1 (c) -4 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 23*c. Let z(d) = -12*d + 32*d - 18*d. Give q(z(y)).\nAnswer: 46*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36495097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 42 + 28. Suppose -16 = -3*k + 2*z - 0*z, z + w = 3*k. Suppose 24 = k*j + n, n = -4*j + 2*n + 32. Solve 0 = 5*q + 27 - j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v - 2. Let c be q(-2). Let u be (-110)\/(-6) + -6*3\/54. Calculate the highest common divisor of c and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - 1304\/(-6). Suppose -5*z + 2206 = 11*s - 15*s, 3*s = 3. Let o = z - m. Does 56 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -59 (c) -154 (d) -0.2 (e) -5 (f) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 12 = 0. Let k = -1 - -3. Find j, given that -2*j**k + 6*j**4 + 0*j**4 + 1 - 5*j**l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + 6*i)*(0 + 1 - 3)*(-1 + 5 - 3).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*s + 19 + 1, 2*t = -2. Solve 4*o - 2*k + 12 = s*k, 2*o = 3*k - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y + 5. Let g be b(0). Suppose -g*u = -257 - 128. Suppose -2*k = -0*k, u = w + k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -349*q**4 + 5*q**3 - 5*q - 661. Let s(g) = -175*g**4 + 3*g**3 - 3*g - 332. Let n(a) = -3*c(a) + 5*s(a). Differentiate n(r) wrt r.\nAnswer: 688*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = f + 18 - 10, 0 = m + 3*f. Let d(a) = 2*a**2 - 6*a - 7. Calculate d(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3033, -12236, -27559, -49014, -76613, -110368, -150291?\nAnswer: -196394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4573*p*v**2 + 19857*v**2 wrt p.\nAnswer: -4573*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 times -18673299?\nAnswer: -5041790.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/27)\/((-1)\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 337 = -4*a, 5*h - 1450 - 307 = 4*a. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 824\/11*d - 78\/11*d**2 - 1920\/11 - 2\/11*d**3.\nAnswer: -2*(d - 5)*(d - 4)*(d + 48)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 0. Let s(p) = p**2 + 3*p + 5. Let d be s(x). Suppose w - d*b = 29, 4*b + 43 - 10 = w. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 2*h - h - 3*u, 0 = -5*h + 2*u - 252. Suppose 120 = -5*n + 3*j, 3*j + 96 = -4*n + 6*j. Let d = n - h. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/3780*-70*(-4)\/165?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1429092 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 413311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*b + 16*b - 128 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 18, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*k + 2. Suppose -o + 6 = -2*v, 11 = 4*o - 4*v - 5. Put 5, k, o, -5 in ascending order.\nAnswer: -5, k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2. Suppose 3*c = -4*m + 128, -c - 2*m - 62 = -3*c. Let k(n) = 2 - 2 - c*n + 41*n. Determine f(k(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxsnkxsnwknn. What is prob of sequence nxxn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n + 2. Suppose -2*y - 366 = -n*g, 2*y + 270 = 3*g - 7. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/14 - 38*n**3\/21 + 48*n**2 - 2232*n\/7 - 2381. Suppose m(j) = 0. What is j?\nAnswer: -31, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - (-68)\/16. Let d(v) = 2*v**2 - 3*v + 5. Let j = 157 + -109. What is the remainder when j is divided by d(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 3 - (13 + -7). Is 15 + -11 - (-2370 + 3\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - -6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30845150 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 337344 by 84336.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1.7.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-60)\/16)*-15. Let k be (-4)\/t*(1 - -2). Is -1\/5 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -3\/1229788?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2015\/1209)\/((-55)\/48)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8385 is divided by 88.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109876 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(480) + (sqrt(480) - ((sqrt(480) - 1*sqrt(480) - sqrt(480)) + sqrt(480)))) - sqrt(480))\/(sqrt(50)\/sqrt(5)*3) + -5.\nAnswer: -12*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/440760 and -23\/8720.\nAnswer: 96085680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 69 + (6\/(-2) - 1). What is the greatest common factor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (91 + -18 + -28 + -2 + -13)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**3\/6 + 9*h**2\/2 + 6*h. Suppose -2*k = 2*m - 18, 7 = 3*k + 2*m - 3*m. What is the units digit of t(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b - 2. Suppose 5*s = -0*s - 50. Let c(z) = z - 190. Let h(i) = -12*i + 1135. Let v(u) = -6*c(u) - h(u). Determine s*x(j) - 4*v(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/252 and 22\/3640707?\nAnswer: 14562828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32353363\/4 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 0.1221, 1, -0.3 in descending order.\nAnswer: 4, 1, 0.1221, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 563319961537 and 0.47?\nAnswer: 563319961536.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**7*u)\/((((u\/(u\/u**4))\/u)\/u)\/u))**(-1\/46))**5 assuming u is positive.\nAnswer: u**(-35\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2516630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3)\/g**(-4\/5))\/(g*g**0*g*g)**(-3\/13) assuming g is positive.\nAnswer: g**(357\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 7280?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 327.715 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 25, 56, 105, 178, 281, 420, 601?\n\"Answer: x**3 + 12*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20612, 41260, 61902, 82538, 103168, 123792?\nAnswer: 144410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c - 2. Let g be (-24)\/(-18)*c\/(-2). Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/31 (b) -1\/2 (c) 1\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 119 - 70*u**2 + 139 + 66*u**2 - 35.\nAnswer: -4*u**2 + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 18*y**2 + 0 - 1\/12*y**4 + 19\/6*y**3 + 0*y. Let q be l(7). Calculate the greatest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 9. Suppose -d - 5*c = l, 40 = -2*d + 4*c + 2. Let q = d + 42. What is q rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -920*y - 21220. What is s(-23)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -5*b**8\/112 - 4*b**7\/3 - 9*b**6 + 40*b**5 + 250*b**4\/3 + 24*b**2 + 16. Suppose v(a) = 0. Calculate a.\nAnswer: -10, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 - i**2. Let x = -5 - -4. Let h be d(x). Put h, 0.2, 4 in decreasing order.\nAnswer: 4, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j - 129 = 0. Suppose -h - d + j = 0, 5*h + 4*d + 136 - 352 = 0. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 125\/30 + (33\/18 - 2). Suppose -j*r - t = -0*t - 545, 4*r - 5*t = 539. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 3.358.\nAnswer: 3.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5768 and 2?\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 340*b**2 + 1990*b - 4715. Calculate c(-334).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-6)\/5)*5\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -21*o**2\/2 + 12*o + 10. Let w be z(-8). What is w rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3472*u - 2274*u - 790*u + 6285*u + 4668*u to the form z + c*u and give c.\nAnswer: 11361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (9 + -3)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -7*p**4\/12 - p**3 + p**2. Differentiate w(x) wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 8*d - 5. Let g(v) = -v**2 + 7 - 13 + 2*v**2 + 8*v. Let t(w) = 3*g(w) - 2*z(w). Let q be 2\/(-9) + 224\/36. Determine t(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 - 5*m**3\/6 - 49*m**2\/2 - 3*m - 5. What is the tens digit of c(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66237, 132461, 198685, 264909?\n\"Answer: 66224*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 456*t**3 + 448*t**2 + 456*t - 452.\nAnswer: 4*(t - 113)*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -62, -97, -128, -155?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 + 0 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34620847 is divided by 692416?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7*w + 32 = 0. Let b be (-4)\/(-6)*(w - 1). Let i(t) = -10*t - 2. Let u be i(-1). Solve -2*h = -b*k + 14, -25 = 5*h + k - u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b + b**4 - b**4 - b + b**5 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27058, -4, -1, -2, 0 in ascending order.\nAnswer: -27058, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 - 6*q**2 + 74*q - 437. What is the units digit of o(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66425 is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1524051?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, f: 2, l: 2, g: 2, o: 1}. What is prob of picking 1 g and 1 l?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -24\/16895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*o - 3*o = 0. Suppose 6*y + 17 - 29 = o. Suppose 12 = -g - 3*m, -y*g - 3 - 16 = 5*m. Solve g*p + i - 7 = 0, -p + 3 = -5*i - 26 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 18. Calculate a(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/108 and -17\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5580 and 7815.\nAnswer: 2907180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11))**(35\/3)*s**7*s*s\/s**(-9) assuming s is positive.\nAnswer: s**(524\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 j, and 1 d when three letters picked without replacement from {j: 3, h: 1, q: 1, d: 1, l: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2))\/(15\/2235) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ssoooho?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 591 + -568. Calculate the highest common factor of r and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2851?\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.6, 1, -6, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, h: 1, i: 1, g: 1}. Give prob of sequence hn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -343000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44754048611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 - 638*l**2\/7 - 956*l\/7 + 528\/7 = 0. Calculate l.\nAnswer: -44, -2, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3678.786 * 0.13\nAnswer: 478.24218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16111\/4 - 4053. Let a = -18 + 137\/2. Calculate the common denominator of a and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -3 + 1)\/(2 + -4). Let g be (6\/9)\/((-4)\/6). Let q be g\/(-3) - w\/(-3). Solve -4*s + 8*s = q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(91\/(-14) - -5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25226292.61 and -1013.7.\nAnswer: 25225278.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193\/45 - -35\/9. Which is the biggest value? (a) -2 (b) -1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -732 smaller than -733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2*j**3 + 14740943*f**2*j - 15265083*j**3 with respect to f.\nAnswer: 6*f*j**3 + 29481886*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/112)\/((-48)\/(-160)))\/(10\/(-133))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*z + 64 = -133*z. Let k(g) = -g**2 + 2*g + 4. Let x be k(3). Suppose -f = 3*j + j - x, 3*f = 3. Solve z = -4*q - j*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**5\/60 + m**4\/3 - 5*m**3\/6 + 3*m**2. Let q be n(6). Solve 0 = 3*g - 2 - q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 28.27.\nAnswer: 706.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3))**2*6.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*g + 336 = -192. Calculate the highest common divisor of g and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**3 - 18*t**2 + 28*t - 103. Give g(7).\nAnswer: 1955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*sqrt(17)*-2 + sqrt(17) - sqrt(17)))**2 + -2.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 <= -18778\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 3*r**2 - 2*r**2)*(-6 + 4 - 3 + (-5 - 1 - 3)*(3 - 4 + 3) + 3 - 4 + 3).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 65. Let v = 21 + k. Let b(x) = x**2 + 8*x - 8. Let c be b(v). What is the highest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -11. Let v = 36 + z. Which is the biggest value? (a) -0.3 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*-1 + 8\/92 + 113\/23. Which is the fourth smallest value? (a) -0.1 (b) -328 (c) 0 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-4 + (12 - 7)). Let g(s) be the third derivative of 0*s + q*s**2 + 0*s**3 - 7\/24*s**4 + 0. Let p(y) = -2*y**2. Determine g(p(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 267, 313, 361, 411?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x - 21. Determine a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -85f9?\nAnswer: -85fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -1\/10*o**5 - 1 + 69\/2*o**2 + 0*o**4 + 16*o - 1\/3*o**3. What is the derivative of g(m) wrt m?\nAnswer: -6*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3536 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.385\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -135, -1.1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 5, 24, 59, 116, 201?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2) + 45\/6 + -4. Solve -5*h + 3 = -j, -h = h + u*j - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/87 and -83\/15?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79587143, 79587145, 79587149, 79587155, 79587163, 79587173, 79587185?\n\"Answer: r**2 - r + 79587143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388 divided by 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 32. Solve z*r = -0*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306783.9ml to litres.\nAnswer: 306.7839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = 0, 3*b + 5*c + 39 = 5*b. Calculate the remainder when 31 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1\/7, -1, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7107071 to the power of 1\/2, to the nearest integer?\nAnswer: 2666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(104)*2 + sqrt(104))\/(sqrt(1152)*1 + sqrt(1152) - sqrt(1152)))**2.\nAnswer: sqrt(13)\/6 + 157\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 1, -5, 2, 4, -2, 5.\nAnswer: -64, -5, -2, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99186 and 2768912.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8294226, 16588459, 24882692?\nAnswer: 33176925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/89)*m*m**(-12))\/(m\/m**31*m\/(m\/m**(1\/51))) assuming m is positive.\nAnswer: m**(90793\/4539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4 + 852*v**3 + 12*v**2 - 2564*v + 1704 = 0.\nAnswer: -2, 1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by (-8)\/56*-7*(260 + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92 + 63*s**4 + 27*s**4 + 119*s**4 + 10*s**4 - 33*s**4 wrt s?\nAnswer: 744*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -5. Suppose d = c - 5. Let z = c + -1. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*f + 4*i - 40 = 0, 21*i - 3 = 3*f + 18*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -241 = -23489\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 7*a**2 + 10*a**2 - 4*a**2)*(-3*a + 0*a + 10*a) as s*a + w + j*a**2 + i*a**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20321*k + 1148. Let r be d(12). What is r rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:40 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6215, -12276, -18189, -23954, -29571, -35040, -40361?\n\"Answer: 74*v**2 - 6283*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 765 (base 10) to base 11\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1141 - 483. Suppose 4*n = j + 8*n - 128, k = 5*j + 2*n. Suppose -4*r = -5*i - 165, 5*r = -3*i + 7*i + j. What is i rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (5 - 14 - -5)) + 20 + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -268 + 45?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -372, -754, -1288, -1974, -2812, -3802?\nAnswer: -4944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/4)*(n**(-16)\/n*n)\/n*(n\/n**(-6))**(-2\/47) assuming n is positive.\nAnswer: n**(-3205\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1. Let d(v) = -3*v**2 - v + 2. Calculate -2*b(w) + 2*d(w).\nAnswer: -6*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16\/47 - 191\/423. Sort -7, 3\/10, 6, n in descending order.\nAnswer: 6, 3\/10, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (25\/30)\/(7\/42). Suppose z*r = 13*r - 128. Solve -5*v - 4*q + r = 0, -3*v - 2*q = 2*q - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/3 - 1\/2. Let o = -19 - -5. Let t = o + 15. Which is the closest to t? (a) x (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 625*h**2 - 13395*h - 51975.\nAnswer: -5*(h + 5)*(h + 21)*(h + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + n - 63 = 0, 0 = 5*r - n - n - 308. Let g = 10 - 5. Suppose -4*v + 2*a = -r, g*v - 5*a + a = 76. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 50 = -48 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w + 3. Let j(d) = 54*d + 36*d - 100*d. Calculate j(h(v)).\nAnswer: 50*v - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22919844.\nAnswer: 2, 3, 1909987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by 318.\nAnswer: 44\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v + 3. Let m = -3 + 2. Let g be (-9 + m)*2\/(-4). Let j = 2 - g. What is b(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 16*p - 3*m + 311, 4*m = -3*p + 180. Let y = -77 - -110. Calculate the remainder when p is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4531 (base 9) in base 14?\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -3*a + 3, -4*a + 2 = -5*j. Let o = 6 + -2. Suppose o*y**a + 2*y**4 - 4*y**5 + 2*y**5 + 3*y**5 - 3*y**3 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 32*p + 33*p - 10 = 0, 4*g + 3*p = -14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*s**3*t**3 + 4*s**3*t - 2*s**2*t**3 - 315*s*t**3 wrt s.\nAnswer: 54*s*t**3 + 24*s*t - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -176*q**2 + 18*q - 12. What is y(3)?\nAnswer: -1542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*h*t - g**2*h - 4*g*h*t + 75*g*h + 3*h*t wrt t?\nAnswer: -2*g**2*h - 4*g*h + 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = 3*l - 24*i, 24 = -l + 163*i - 161*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -91*g + 17. Let b be x(-6). Suppose -982 = 5*q + b. Let p = 518 + q. What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)*n)**(17\/5)\/(n*n*n**(1\/6)*n*(n**(1\/4)*n)\/n))\/(((n\/n**(-1))\/((n\/(n\/(n*n*n**(-3\/5))*n))\/n))\/(n\/n**2)**19) assuming n is positive.\nAnswer: n**(-1399\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (1434\/(-21) - 2\/(-7)). Let i be 8\/(-68) + y\/17. Solve 6 + i = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18 - (-2 - (1 + -3)). Let x = m - 16. Let a(k) = k + 1. Let d(c) = 5*c + 2. Give x*a(y) - d(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g. Let o(l) = 48 + 4*l**2 - 48. Calculate o(i(v)).\nAnswer: 196*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -25*y - 3 - 3 + 24*y. Determine a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58867082879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 + 1021?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (0 - (-76)\/(-4)). List the prime factors of (-38*1\/2)\/(3\/h).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 1. Let q = j - 3. Differentiate -1 - p**2 - p**2 - 1 + q*p**2 wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, 0, -7, -4 in descending order.\nAnswer: 0, -3, -4, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 87.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*16\/32 + (-75 - -113).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 294, 466, 650, 846, 1054, 1274?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 - 3. Let s(b) = 2*b - 1. Let q be s(2). Let y be l(q). What is the third derivative of -3*i**y - 18*i**2 + 12*i**2 + i**6 wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 - -74. Let g(y) = y**3 + 8*y**2 + y + 12. Let h be g(-8). Solve b*f - h = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4120 = -5*s + 5*f, s - 293 = -5*f + 513. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-9966))\/((-5293)\/2814 - 24\/(-14))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92402 by 2.\nAnswer: -46201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -508491*r**6 - 52*r**2 + 10536 wrt r?\nAnswer: -61018920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 1:42 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40609.14 milligrams in nanograms?\nAnswer: 40609140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.1.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**3 - 13*n**2 - 21*n - 7. Let b be q(-16). Suppose -5*l + 2*v + b = 0, -l - 5*v + 2176 + 3767 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -3. Factor 2*j + 5*j**2 - c*j**2 - 3*j.\nAnswer: -j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496\/186*(-1 + 161\/14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + sqrt(33)\/sqrt(275))*4)**2.\nAnswer: -1152*sqrt(3)\/5 + 58032\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -29, -2, -1 in increasing order.\nAnswer: -29, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**6)\/s)\/s)\/(s**5\/s)*((s\/(s*s\/s**1))\/s)**(2\/35))\/(s**(-4)*s**0\/s*s*s)**(-2\/113) assuming s is positive.\nAnswer: s**(3519\/3955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than -90046998?\nAnswer: -90046998.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -155, 933, -5 in ascending order.\nAnswer: -155, -5, -4, 2, 933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (5 - -2) + 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(8125\/(-10))*(-210)\/84.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1827*a**4 + 17*a - 32.\nAnswer: -21924*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 - (-4 + 5). Let j be 4\/1 - (1 + 1\/o). Let n be (j\/4)\/(198\/24). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16824, 0, -5, -3, 8 in decreasing order.\nAnswer: 8, 0, -3, -5, -16824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 + -244. Let b be (-2)\/(-6) + (-33)\/u. Suppose 154\/13*o**4 + 98\/13*o**5 - 64\/13*o - b - 146\/13*o**2 - 34\/13*o**3 = 0. Calculate o.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/406739?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jha when three letters picked without replacement from {d: 11, a: 5, h: 2, j: 2}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 36*p**2 - 27*p - 75. What are the prime factors of d(37)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*m - 22, 2*m + 9*y - 4*y = 17. Let q be (-18)\/24 + (-11)\/m. Solve q*g + 3*g - 3*x + 8 = 0, 0 = 4*x - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042434059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -1929*x**3\/4 + 75229*x**2\/4 + 39*x\/2 = 0.\nAnswer: -2\/1929, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 = -4*v - 99. What are the prime factors of v?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -16. Suppose -5*h + 4*w = -16, w + 11 = f*h - h. Suppose -5*l + 25 = 5*d, -5*l + 4 = -4*d + 2*d. Is h at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 72. Let m(a) = -10*a**4 - 37*a**2 - 4*a. Let v(i) = 11*i**4 + 37*i**2 + 5*i. Let n(h) = r*m(h) - 4*v(h). Find the third derivative of n(d) wrt d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*t + 53\/5*t**2 + 1035 - 1\/5*t**3 = 0. What is t?\nAnswer: 15, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/39, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*o**3 + 1220 + 78*o**3 - 1222 + 65*o + 4*o**2 as c*o**2 + d*o + j*o**3 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-15)*(-6 + 1). Let b(z) = 6*z**2 + 4*z + 2 - z**2 - z**3 + 2*z**3. Is b(v) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w**2 - 2*w + 1. Let q be i(1). Let o(j) = -j**3 - j - 3. Let k be o(-3). Let g = k + q. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1270 divide 64814450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((16\/(-10))\/2)\/(19\/(-3515)). Let x = v - 21. What is the hundreds digit of x - -1 - -2 - 28\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3871.7 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 1. Let k be n(-5). Let o = 0.1 - -1.9. Let m = -2 - -1. What is the closest to 1\/3 in k, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by 3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7728 - 4778. Let b = 350 + n. Round b to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-11 - -5 - -4) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102461.6 decades in years?\nAnswer: 1024616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-6)\/10*200\/(-60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, s: 4, j: 2}. Give prob of sequence isi.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24468118511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjhtcqhjjctcdhhchj. Give prob of sequence qjhj.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1431.31655702 - -1.30898702. Let n = -1430 - z. Round n to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**4 - 610*i**3 - 2555*i**2 + 157960*i + 632400 = 0. Calculate i.\nAnswer: -15, -4, 17, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -19*d - 8. List the prime factors of x(-10).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49766120 is divided by 45078.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1209?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 + -4339.\nAnswer: -4336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -4*t + 3*k, 7*k - 6*k - 104 = -3*t. Calculate the remainder when 177 is divided by t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.93 and -1.8.\nAnswer: 1.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (9 - (143 - 145 - (-3 + -3 - 3))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v + 161 + 543 = -222*v. Sort 296, 16, v.\nAnswer: v, 16, 296","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 2*o + 4*o**3 + 2*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/((-2)\/4). Let x = 1 - a. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 + 1 + 3*g**2 - 6*g**2)*(9 - 16*g + 11*g + g)*(1 + 1 - 3)*(-4 + 4 - g) as w*g**3 + k*g + p*g**4 + v + q*g**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 4*y**2 - 2*y**2 + 5*y**2. Suppose o + 2 = -3*l, 0 = 2*l - 3*l + 2*o + 11. What is f(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 4:36 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*c - 0*c, 2*c - 12 = 2*n. Let p(z) = -z**2 - 7*z + 10. Let g be p(n). Suppose -7 = m - 5*r, -2*m = g*m - r - 67. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790254482 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*r + 7, 3*a + 9 = r - 0*a. Let i = 2 + r. Let q = i + -6. Solve 4*m = -4*d + 20, -3*d + 1 + q = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**3 - 2 - q**2 + q + 2*q**3 - 9*q**3. Let a be p(2). Let j(d) = -8*d**2 + 3 + a*d**2 - 3. Let h(y) = 4*y**2. Calculate j(h(r)).\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 267789. Let c(u) = 9*u. What is t(c(f))?\nAnswer: 36*f - 267789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 142*v + 470. What is m(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1170535 and 398480?\nAnswer: 18728560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010111101011010001101 - 1101?\nAnswer: 111010111101011010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41926 - -0.0866.\nAnswer: -41925.9134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(1 + sqrt(176)))**2 + 0.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 2. Let g be u(2). Suppose 0 = 3*l, -g*l + 7*l - 40 = -4*x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4268466.\nAnswer: 2, 3, 237137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z**2 + 6. Let j(f) = -14*f**2 + 5. Give -6*j(d) + 5*u(d).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 450.71111 to the nearest integer.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.7155919 to 3 decimal places.\nAnswer: -53.716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -264? (a) 3869 (b) -41 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18946561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 32*u**2 + 3*u + 121. Let y be g(-32). Solve -5*d - y = 0, -5*z + 3 = d - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 18.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 5*x**2 + x + 5. Let a be z(4). Let v = 11 + a. What is the third derivative of -8*k**2 + k**v + 0*k**2 + 7*k**2 wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27255*i**2 + 290 - 350*i**2 - 290 + 40994*i**2.\nAnswer: 67899*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-15)*a)\/a)**40)**36)**18 assuming a is positive.\nAnswer: a**(-388800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -124. Which is smaller: 26 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s**2. Let l(j) = -1404*j. Give o(l(m)).\nAnswer: 17740944*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-95) - (476\/(-85))\/((-2)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2 = 2*w, 3*s + w - 21 = -17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 11:12 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 26*b**2 + 23*b - 1. Calculate d(25).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 5*k**2 - 2*k. Let n(o) = 2*o**2 + o. Let b be (((-35)\/2)\/7)\/((-1)\/(-2)). Let u(g) = b*n(g) - 2*i(g). Determine u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*l + 8, 11*l + 4 = 10*l - f. Let i(w) = 3*w**2 + 3*w**3 - w**3 - w**3 - 1. What is i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64991710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*b - 1972 = -69*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 divided by 6?\nAnswer: -167\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.478 rounded to zero decimal places?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**3 + 4*s**2 + 5. Let q = -154 - -130. Let d be (-2 - 1)*32\/q. Let o be a(d). Calculate the greatest common divisor of o and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -311 - -4e76b?\nAnswer: 4e45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470 - 195*s**3 + 991*s**3 - 739 + 269.\nAnswer: 796*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+1793934.9533\nAnswer: 1793934.5533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aka when three letters picked without replacement from vaaaaaaak.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3293?\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from dpdddpdrdd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + p = 15, -2*p - 16 = -30. Solve -3*g + q*o = -16 + 5, 0 = 4*o - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.8 (b) 0.3 (c) 4\/7 (d) -1\/78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0 + 2. Let b be (-3 + 0)\/((-8)\/96) + 5. What is the tens digit of b - (0 + m + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/111859 and -24\/315239.\nAnswer: 3467629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 + (-6720)\/(-245))*(2 + (-26)\/12).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa - 68?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -0.699675. Round q to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -645721 (base 12) in base 11?\nAnswer: -993323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/3 - 706*y**4\/3 - 13750*y**3\/3 + 141170*y**2\/3 + 1851908*y\/3 + 1697696\/3 = 0.\nAnswer: -22, -8, -1, 13, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -132, -310, -490, -672, -856?\n\"Answer: -y**2 - 175*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2732.82 and -7.\nAnswer: -19129.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27665, 27665, 27673, 27695, 27737, 27805, 27905, 28043?\n\"Answer: p**3 - 2*p**2 - p + 27667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -51. Solve v - 5*r + 25 - 1 = 0, z*r + 8 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**2 + 1 + 15*s**2 - 41 + 2*s**3 in the form p + v*s**3 + u*s**2 + x*s and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 21913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101000100000111?\nAnswer: -101000100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**6\/120 + g**5\/80 + g**4\/24 - g - 13. Let o(x) be the first derivative of m(x). Factor o(u).\nAnswer: -u**2*(u - 2)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**12)\/h*h*h**(-1\/36))\/(h\/(h*h\/h**(-7))*h*h**2\/h) assuming h is positive.\nAnswer: h**(-181\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20\/9*r + 2\/9 - 8*r**3 - 6*r**2 = 0. What is r?\nAnswer: -1, -1\/12, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 4:39 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 2*v**2 + 3*v + 6. Let z(h) = 28*h - 28*h - 1 + 0 - h**2. Let l(f) = -n(f) + 2*z(f). Let u(r) = -r**3 + r + 3. What is -3*l(t) - 8*u(t)?\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -156076360?\nAnswer: -156076360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23186926 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0 + 10*q**2 + 7*q**2 + 7 - 8 + 9*q + 3*q**3. Let y be d(-5). Let -2\/13*a**5 - 8\/13*a**2 - 2\/13*a + 0 - 12\/13*a**3 - 8\/13*a**y = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 77. Let x = k - -74. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1218, -49, 7, 2, -2, 1 in ascending order.\nAnswer: -49, -2, 1, 2, 7, 1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2 - 6*d + 2. Let t(k) = -26*k**2 - 17*k + 6. Let l be (4 + -15)*(-13)\/(-13). Determine l*q(i) + 4*t(i).\nAnswer: -5*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/11 + 12*o**4\/11 + 28*o**3\/11 + 32*o**2\/11 + 18*o\/11 + 4\/11.\nAnswer: 2*(o + 1)**4*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 5, -0.559, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*-19108758\nAnswer: 19108758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238620246 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(320) + sqrt(40)\/(sqrt(8)*-3 - sqrt(8)))**2 - ((sqrt(5) + (sqrt(125) + 1 - sqrt(5)) - (sqrt(500) + 1)) + -1 + -3).\nAnswer: 103*sqrt(5)\/2 + 5013\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 0.761?\nAnswer: -1.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2248 + -2246. Solve 4*n - 3*t = 8 - p, 2*n + t = 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 5*c**2 + 4*c + 2. Suppose -5*g - 24 = -g. Let q be p(g). What is the remainder when 27 is divided by (q\/6)\/((-1)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 9, a: 10}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 21 = -11. Calculate the lowest common multiple of ((-42)\/(-3))\/((8\/2)\/a) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*k + 206*k - 7 = -d, -3*d = 4*k - 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 1. Let t(s) be the second derivative of -3*s**5\/4 + 25*s**4\/12 - 25*s**2\/2 + 2*s + 208. What is 50*c(j) + 2*t(j)?\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 + 4*s**2 - 13*s + 3. Let r(f) = f**3 - 2. Let d(m) = o(m) - 2*r(m). List the prime factors of d(7).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5039031 litres to millilitres.\nAnswer: 503.9031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 5\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5 = 5*v. Let y be (-157 - v)*(5 + -6). Let h = 367 - y. Calculate the highest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192*j**2 - 1916*j + 40.\nAnswer: -4*(j + 10)*(48*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -9 + 53. Let h be (8 - 2) + (-12 - y - -5). Suppose -h*p = -5*m + 162, -3*m - m + 104 = 4*p. What is the greatest common factor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/7)*b*b*(((b\/b**11)\/b)\/b)\/b*(b**(2\/3)*b)\/b*b*(b**13\/b)\/b assuming b is positive.\nAnswer: b**(29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 283157?\nAnswer: 2265256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - (7 + 7 + -5). Solve 14*q + 4*q = n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 2 + 2 - 4) + 289 + -235?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121656 is divided by 24300?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3109 - -6175. Which is smaller: 3065 or m?\nAnswer: 3065","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006266707 to the power of 1\/4, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Let j(s) be the first derivative of s**3\/3 - s**2 - 2*s + 1. Give j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 24*p - 114. Let o be d(5). Let h(n) be the third derivative of 0*n + 0 + 0*n**3 + 1\/15*n**5 + 0*n**4 + 1\/30*n**o + 4*n**2. Factor h(f).\nAnswer: 4*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.047 - -1.047. What is the closest to i in 1\/3, -2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*-2*24\/112?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861033911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w - 4*q + 9, 2*w - 5 = q. Let i(y) = -4*y + 3 + 0*y - 2*y + 5*y**2 - y**3. Let s be i(w). Let n(h) = -h**2 - 4*h - 2. Calculate n(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (0 + 5)) + 0 + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 72 = -7*h - 4*g, -2*h = 4*g - 44. Let w = -49 + 54. Let i be -6*5*w\/(-30). Solve -h = 4*r - d, -5*d - 3 = -3*r - i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35731 is divided by 160.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by 54.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(68)\/sqrt(4) - (-3 + sqrt(17)*-1)).\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.3 - -13. Which is the second biggest value? (a) s (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4742 + 4745, -12*j = 3*b - 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 333, 356, 449, 654, 1013?\n\"Answer: 7*q**3 - 7*q**2 - 5*q + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2285742524167 and -4.\nAnswer: -2285742524171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*k - 10*j - 102, 45 = k - 4*j. Let u = k - 37. What is the highest common factor of u and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2672, 2666, 2660, 2654, 2648?\n\"Answer: -6*p + 2678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-21)\/((-3885)\/(-629)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 9) + 0 - (-104 - -100)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 141680605 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*x - 268, -y + 277 = 6*x - 4*x. What is the highest common factor of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 11*r + 3 = 0. Which is the nearest to 0.2? (a) 1\/2 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8009?\nAnswer: 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 24. Suppose -2*p + 2*i = 0, 1 + 4 = 3*p - m*i. Suppose -p*b - 4*z + 1243 = 0, 6 = z - 3*z. Round b to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115410154 (base 6) to base 7.\nAnswer: 24625522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*z**2 - 2*z**2 + z**2 - z**2 + (0*z - 4*z + 2*z)*(0*z + 0*z + 2*z) + (1 - 4 + 2)*(17*z - 16*z**2 - 17*z) + 0*z**2 + 2*z**2 + 2*z**2.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -3) + 30 + -4 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 258, 217, 150, 51, -86?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -88, -206, -392, -658, -1016, -1478, -2056?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 4*r - 5*f, 2*r + 5*f - 4*f - 92 = 0. Let o be 5\/2 + (-1)\/2. Calculate the remainder when r is divided by (-15 - -3)*o*-1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 2*z + 0*z - 19 = 2*r, -5*z - 34 = -3*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8498522um?\nAnswer: 0.0000000008498522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1151*y + 853*y = 1365*y + 92677 + 5440 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 6*s - 55 + 54 + (0*s - 2*s + s)*(-6 - 8 + 6 + (-1 + 0 + 0)*(1 + 4 - 7)) in the form w*s + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -430 - 77. Which is the second smallest value? (a) -5 (b) 0 (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18298486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 272. Let s(c) = -2*c**2 + 3. Let g(v) = 22*v**2 - 34. Let z(x) = h*s(x) + 6*g(x). Let i(f) = -f**2 + 0 - 2 + 2. Calculate z(i(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458810580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*n, 5*n - 8 = 5*u - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/2 + 3*k**4\/2 - 7*k**3\/2 - 7*k**2\/2 + 9*k - 4 = 0. Calculate k.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 187 (base 9) to base 14\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d + 6. Let v be (-1 - 10\/(-6))\/((-5)\/(-15)). Let j be p(v). Solve j = -3*q - 6 - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/((-12)\/30). Suppose -c - 191 = -2*t, 403 = 2*t + n*t + 5*c. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 57 = -33. Suppose a - 4*a - 18 = 0. What is the remainder when 67 is divided by (a\/f)\/((-2)\/(-69))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 10, 0*y = -5*y + 2*b - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15*s**(3\/7))**36 assuming s is positive.\nAnswer: s**(3888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 5, -1028, -3, 50, -1 in ascending order.\nAnswer: -1028, -3, -1, 3, 4, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q + 1. Let i be w(-3). Let s(c) = i + 18*c - 16. Is s(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3163, -7089, -11691, -16969, -22923, -29553?\nAnswer: -36859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.51, -3\/7, -1\/8, -0.6 in decreasing order.\nAnswer: 2, -1\/8, -3\/7, -0.6, -1.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2765 and 31205?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.06 and -48106071.\nAnswer: -48106068.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6150024?\nAnswer: 2, 3, 229, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d170ab - -2?\nAnswer: -6d170a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4 (c) -2\/7 (d) -28\/1867 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6268232 to the power of 1\/2, to the nearest integer?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*z = -3*l - 5, -2 = 2*l - 2*z. Let f be l + -1 + 144\/81. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c. Let o(p) = -3784101*p**2. What is r(o(y))?\nAnswer: -18920505*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80, -121, -162, -203, -244, -285?\n\"Answer: -41*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/77 + 165\/35. Suppose 3*l - 17 = -2. Solve -29 = -3*n - k*y, -l*n - 2 = -3*n - 2*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 + 8*s + 1. Let a(c) = 14*c**2 - 23*c - 4. Let l = -7 - -3. Let y(d) = l*a(d) - 11*g(d). What is the units digit of y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 5*s + 17938134, -s = -1. Let z = u + -8038139. What is z rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 77859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 4*u + u - 3*x, 4*u = x + 148. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58139570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 217\/5, -37, 0, 0.14, -2\/9, -0.4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19126*r**4 + 111*r**2 - 5*r - 1297659.\nAnswer: -229512*r**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3545*g*v**2 - 57808*g wrt v?\nAnswer: -7090*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 23 + 23 = 0. Solve -6 = 3*d + w*j + j, 0 = d - j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4*p - 688, 2*u - p - 8 - 334 = 0. Suppose -u = -3*o - 2*o. Suppose 36 + o = 2*f. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318176 by -163.\nAnswer: 1952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 11:40 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 3. Let f be o(-2). Which is the nearest to 2? (a) -1 (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 636583 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8478 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.9892 litres in millilitres?\nAnswer: 461989.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + k. Let w be x(1). Let t = 10 - -8. Suppose -b + w*b = t. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.4. Suppose -3*n + 18 - 6 = 0. Which is the nearest to t? (a) n (b) 3\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0 + 2 + x - 7 + 0*x. Let c be h(7). Let w = -1.94 - 0.06. Sort c, w, -4 in decreasing order.\nAnswer: c, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 divided by 415?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-256)\/64)\/(4\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38188*(-16)\/(-384) - (-8)\/(-48). Calculate the greatest common divisor of 731 and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 4*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 34 = -2*j - 4, 4*j = 0. Let s(x) = -5*x - y*x + 20*x. Let b(a) be the second derivative of -a**4\/6 + a. Give b(s(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 114950390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*-2*(40\/(-35))\/(-8).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j + 9. Let b be k(-2). Suppose 0 = 4*s - 7 + b. Let n(q) = 3*q - 4. What is n(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -763, -756, -759, -778, -819, -888?\n\"Answer: -k**3 + k**2 + 11*k - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21432503 (base 8) to base 15\nAnswer: -60d48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 - (62 + (-23 - -58) + -74)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 604 - 599. Suppose 5*h + 2*s = 30, s - 24 = t*h - 9*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.3, 2, -906?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 6*g - 16. Suppose -22 = -c - g. Let o = -3 + 17. Calculate the least common multiple of o and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709*c = -694*c - 44985. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 162 (b) -1261.35 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nncnccnncn. Give prob of sequence ncnn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*o - 27, 4*z = -0*o + 3*o + 81. Let l be (-1408)\/18 - ((-220)\/90)\/11. What is the remainder when (22\/3 + 1)*l\/(-13) is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t**2 + 70*t**2 - 3*t**2 - 21*t**2 - 32*t**2.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/(j\/j**7))**42 assuming j is positive.\nAnswer: j**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -49. Let p be (18\/q)\/((-1)\/(-5)). Let b = p + 13. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/5 + (-6)\/(-15). Let r = m - -9. Is 6\/r + (-6055)\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 1 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 15)\/(19 - 3). What is the nearest to 1 in 0.4, -0.3, u, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -56.5. Let x = -12 + h. Which is the third smallest value? (a) 0.2 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (12 - 6) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 7. Let k(b) = 2*b**2 + 4. Determine 7*k(a) - 4*q(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5888284, -11776570, -17664856?\nAnswer: -23553142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42028 and 55853?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1037457 greater than or equal to 252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 551135 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*j, -3*f + 2*j = -5*f - 6. Suppose 0 = -2*n + 4*s + 16, 2*n - 8 = f*s. Suppose 4*t - 20 = n, 4*i = 3*t - 22 - 9. Which is greater: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39060 and 75950.\nAnswer: 1367100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 629, 2067, 4853, 9437, 16269?\nAnswer: 25799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(9\/(-6))\/3. Suppose -3*r - l = -41, 2*r - 32 = 4*l - o. Calculate the highest common factor of r and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(1\/26)*f*f*f))\/(f\/((f**1\/f)\/f)*f))**(1\/14) assuming f is positive.\nAnswer: f**(-131\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3354617 rounded to 3 decimal places?\nAnswer: 0.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687 = -33*y - 3*k, 0 = -y - 488*k + 485*k - 15 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6706056 divided by 1074?\nAnswer: -6244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3358 + 2936 = 269*o - 162 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 13725603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-2) - (6 - 1))*-42. Let a = 107 - u. Suppose -a = g - 255. Does 38 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(133\/(-38)*20*6\/15).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/12*9\/24*24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -5*x + 24, 1 = -x + 5*w - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-27))\/(x**(-11)\/x))\/(x\/(x\/((x*x**28)\/x))*x**(-33)))**(17\/3) assuming x is positive.\nAnswer: x**255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 13*z = -24 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a - 1. Let t be i(1). Let k be (4\/t)\/(2\/5). Solve -v = k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12571.02 + -12823. Let m = -240 - d. Let n = m + -12. Put 1, 4, n in increasing order.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x**3 + 2*x**2 - 3*x. Suppose 4*o - 19 = 29. What is the lowest common multiple of o and s(1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 5*n**2 - 16*n - 1. Let y = -34 + 36. Let j be (15\/(-3) - y)\/1. Let k be t(j). Solve -2*l + 5 = 3*q, q - k = 2*q - 3*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:39 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 224. Is f(0) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 1:20 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3*t + 12, -7*t + 5*t + 13 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 808 and 948276880?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 7}. What is prob of picking 4 n?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (0 + 35 + (25 - 31))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s + 28*s + 7*s. Let t(o) = -4 + 4 - 3*o**2 + 4*o**2. Calculate t(z(c)).\nAnswer: 625*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -12*m**2 + 318. Let t(i) = -i. Let x(k) = k. Let u(h) = -2*t(h) - 3*x(h). Calculate u(w(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 7*k - 6. Let o be p(-6). Suppose o*x = -5*x + 15. Solve x*n + 1 = -8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x + 3*t, 3*x = -5*t + 41 - 10. Suppose 0 = -3*d + 4*d - x. What is the highest common divisor of 63 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1846 + 4098. List the prime factors of s.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 356.5 + -377. Let d = 21 + u. Let g = 0.05 - 0.45. What is the closest to d in g, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36937\/48 + 2335\/3. Let g = k + -279\/32. Suppose -3*o = -4*d - 16, 5*o - 2*d - 4 = 4. Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10055638 is divided by 2513905.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*-3*(42\/(-9))\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7800 > 470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 0*o**2 + 57*o - 25*o - 24*o - 8*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 18*o + 28. Let r be d(19). Solve -i = 2*j + 1, i - 3*j + j + r = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*3*(0 - 1). Let j be (-10769)\/(-445) - ((-4)\/(-50))\/(30\/75). Solve -2*z - h - j = k*z, -3*h = -3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.642482\nAnswer: 5.642482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s - 6 = 0. Let h be (3 - 6)\/s - -1. Let t = h + -3. Which is smaller: -1\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45.6? (a) 0.1 (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2, -0.1, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/645 and 143\/1290.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 364\/(-21) - (-104)\/78?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(272) + -4 - (sqrt(272) - (sqrt(272) - 1*3*sqrt(272))))**2.\nAnswer: 80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33377 is divided by 229.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*1)\/sqrt(4)*-4 - (sqrt(275) + 3*sqrt(275) + sqrt(11) + 2).\nAnswer: -25*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 185 = -28 + 39. Put -5, 14, d, 103 in decreasing order.\nAnswer: 103, 14, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*i - 6, -3*i = -4*q + 2 + 5. Let n = q + 4. Put -6, -2, n in descending order.\nAnswer: n, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 2 (b) 3 (c) 2\/7 (d) -0.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) + (-134)\/108. Suppose 2562 = -12*a + 2574. Which is bigger: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37056096*y**4 - 2*y**3 + 2*y**2 + 278*y - 1149?\nAnswer: -889346304*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 369553.3ml in litres?\nAnswer: 369.5533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (272\/(-204))\/(8\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.2 - -20. Suppose 3*l + 2*s - 4 = 0, -l - 5*s + 7 = -10*s. Suppose 2*w - 4*w + 6 = 0, 4*h + 6 = l*w. What is the third smallest value in q, -2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/22, -6\/337, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 334\nAnswer: -66.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -387.8, -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-7 - 24\/(28\/7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -26. Suppose c + 43 = p. Let g = c - -49. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 850*a + 247863 = 275913 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:34 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 3. Let x be 12\/7 + k\/(-14). Suppose 1 = x*g + 5, -5*d - g + 423 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let f be ((-4)\/(-8)*-6)\/s. Let q be -2 - (0 + (f - 95)). Calculate the greatest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/240975 and -94\/19037025.\nAnswer: 19037025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14795753? (a) -5\/3 (b) 4 (c) -1 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1395 divide 24454395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 7*k**2 - 11. Does 39 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22169845113563 and 0.1.\nAnswer: -22169845113562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2. Let n(z) be the second derivative of -1\/4*z**4 + 16*z + 0*z**2 + 0 + 0*z**3. Calculate m(n(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 16 = -2*k, -k + 7*n - 9*n - 1 = 0. Solve 4*t - 23 = 5*o, -k*o - t - 4*t = -1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 4*r - 45 = 23*z, 5*z + 5*r + 55 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46389, -46382, -46371, -46356?\nAnswer: -46337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/10512 and -59\/4972176?\nAnswer: 4972176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 34*r - 257. Calculate d(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = -4. Suppose -m*o = 4*x - 117, -2*x = -4 - 2. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2428 - 2342) + -146 + -1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 390, 715, 1066, 1455, 1894, 2395?\n\"Answer: 2*f**3 + f**2 + 308*f + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 34614?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/(x*(x\/x**(3\/5))\/x*x))\/x**(1\/53)*(x**(-12\/5))**(-46) assuming x is positive.\nAnswer: x**(5617\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4*p - 3*l**3*p + 2084*l**3 + l*p - 7*l + 186 wrt l?\nAnswer: 24*l**2*p - 18*l*p + 12504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1456320 and 64\/333?\nAnswer: 4368960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 270 = -j. Let y be (-2 - 9\/(-6))*j. Suppose -4*u + y = -9. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1262, 2366, 3452, 4514, 5546, 6542, 7496, 8402?\n\"Answer: -c**3 - 3*c**2 + 1120*c + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 0.06 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -50. Let z be 4\/(8\/v*-5). Which is smaller: 3\/4 or z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4550 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 11*t**2 + 1 - 16*t**2 - 21*t**2 as p*t**2 + w + b*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 2*p**2 + p - 1. Let o be a(-2). Let y = -1341\/5 - -271. Calculate the common denominator of (-64)\/o - (10 - 9) and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2629.88 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 141*3\/135 + -3. Let u = -11\/45 - -43\/360. Which is the closest to 0.2? (a) -1 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from ibgnfbi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069951 to 6 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = 15. Let z = n - -9. Solve -g = 4*b + 3, g + 2*g + 9 = -z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 12*y**2 - 520*y - 356. Give j(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2560189783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2 - 6*s - 3. Calculate p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) -4 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 5*c**2 + 10*c + 5. Let n be 5 + 9\/3 - 2. Let v be p(n). What is the first derivative of 0*l**3 - l**4 + v + 0*l**3 - 23 wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593959322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1302016*p + 6510085. Determine q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/3486181 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) 0 (c) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 30*j + 130. What is the units digit of g(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 24*d = 7*d - 252 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4142376 divided by -13?\nAnswer: 4142376\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 + 8*m**2 - 3*m + 8. Let p(x) = 4*x**3 + 7*x**2 - 3*x + 7. Let q(o) = -5*b(o) + 6*p(o). Let j(u) = -2*u. Let r be j(-1). Calculate q(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 888*q**2 - 350*q**3 + 2 - 301*q**3 + 2*q + 653*q**3 to the form b*q + l*q**2 + n + t*q**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + ((-8)\/(-4) - 2). Suppose 3*i = -4*q - 14, 4*i + i = 4*q + 30. Solve k - 1 = 2*f, i*f + r*f = 3*k - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -763*k = -768*k + 106680. Suppose 0 = -4*v + 2*c + k, 48*v + 10670 = 50*v - 2*c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/142 - -277\/994. Let t(o) be the first derivative of 2*o**3\/3 - o**2 + o - 16. Let k be t(2). Which is the nearest to 2\/7? (a) -12 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 615?\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2146, 1946, 1616, 1156?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (-12236)\/364) + -1*(1 + 0)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2)**2 + sqrt(5) + -5 + -4 - (2*(0 + sqrt(80)))**2.\nAnswer: -309 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/6*p**6 + 0*p**3 + 0*p**2 + 1\/5*p**5 + 0*p + 1\/2*p**4 + 2. Solve h(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r - 3 = 0. Let f(m) = -65*m. Is f(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times -211?\nAnswer: -6541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144610479 - 21007525. Suppose x - 16102954 = 5*z. Suppose -y - z = 4*y. Round y to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqniiudqqqqqqqqqds. Give prob of picking 1 s, 1 u, and 2 i.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*g - 153*g + 5408 = 0. Solve g*i - 36 = 9*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 42 = h. Let x(t) = -10*t - 5. Let s be x(-4). Let g be 13\/h + (-10)\/s. What is the second smallest value in -5, g, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 52562048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 56 + 36)*(7 - 7 + 22*a)*((-3*a**2 + 2*a**2 - a**2)*(-4*a**2 + a**2 + a**2) + a**4 + 0*a**4 + a**4).\nAnswer: 8052*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 218*p + 3. Does 15 divide w(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.1.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/90603618 and -45\/15100603.\nAnswer: 90603618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-12)*(-10)\/70.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -327 (base 15) to base 14\nAnswer: -38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 5*c + 46, -12*c = -3*h - 11*c - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -732*r + 12. Let h be d(-9). Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**4 - k**2 - 1. Let p(b) = 7*b**5 - 5*b**4 - 18*b**2 - 5. Let d(v) = -p(v) + 5*t(v). What is the third derivative of d(u) wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 939151 divided by 49429\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1387 and -107028.\nAnswer: 148447836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = 3*t, -11*t = -7*t - 16. Which is the closest to -2\/17? (a) z (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.7 - 39.3. Let b = q - -48.087. Let y = -0.19 + b. Round y to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:43 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1\/4065284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/5, -0.2, 19.7, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 266, 552, 950?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 41, 60, 81, 104?\n\"Answer: a**2 + 14*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*9\/(-6). Suppose -3*d + a - 4 = 0, -3*d + 10 = h*d - 5*a. Sort d, 0, 4 in descending order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**7\/42 - u**4\/6 - 4*u**2 + 2*u. Let i(y) be the first derivative of z(y). What is the second derivative of i(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-2298861.6\nAnswer: -2298861.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:27 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(-6*sqrt(1500)*1 - sqrt(1500))\/(sqrt(50)\/(-2*(sqrt(10) - (sqrt(10) - sqrt(30)\/sqrt(3))))).\nAnswer: 2520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:05 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-35)\/(-25)*1000\/350.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 11, k: 3}. Give prob of picking 1 k and 1 e.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/21)*w\/w**(1\/2)*w*w**14*(w**3\/w)\/w assuming w is positive.\nAnswer: w**(689\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/10, 25, -0.2, 0.4, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 10*h - 176. Calculate q(19).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2108 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 73634463.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from fzzzffzzfz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 998.769 + -1054.69. Let n = v - -56. Round n to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-36) - 2\/18*1030\/(-70).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339806 divided by 2393?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccof when four letters picked without replacement from {c: 3, o: 3, f: 3, t: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**6*x**(-4)*x*x)\/(x*x*x**(2\/5)*x)**(2\/65))\/(x**(-3\/2)*x*x\/(x*x*x**0)*(x\/(x\/(x\/x**(2\/5)))*x*x)**(-17\/3)) assuming x is positive.\nAnswer: x**(19751\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 177b?\nAnswer: 1778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*sqrt(153)*-2)\/((sqrt(225) - (sqrt(225)*-1 - sqrt(225) - sqrt(225) - sqrt(225) - sqrt(225))) + sqrt(225) + sqrt(225) - sqrt(45)\/(sqrt(5)*2))*-2.\nAnswer: -48*sqrt(17)\/79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - 3. Let x be n(-2). Suppose 16 + 39 = x*l. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j - 11. Let k(a) = 2*a - 2. Let l(g) = 11*k(g) - 2*m(g). Let v(q) = -6*q**2. What is l(v(n))?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5065*j**2 - 5803?\nAnswer: -10130*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgi when three letters picked without replacement from {i: 1, w: 1, g: 4, a: 3, v: 1, t: 6}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.110189358499 + -0.26.\nAnswer: -0.370189358499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, h: 4, x: 3, u: 1}. Give prob of sequence hh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53962 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (-1652)\/830)\/(182\/(-455)). Does 1 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 2*c**2 - 14 - 16.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z - 2. Let j be b(-3). Let r(h) = h. Let l(y) = -3*y - 13. Let q(g) = l(g) - r(g). List the prime factors of q(j).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7251506377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 62*t - 42625 = 0. Is 31 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o - 5*o. Let g(p) = p**3 - 17*p**2 + 22*p + 18. Let w(s) = s**3 - 18*s**2 + 22*s + 19. Let r(m) = o*g(m) + 3*w(m). What is the tens digit of r(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35\/2 + 459\/26. Suppose -5*d - 1375 = 5*p, 3*d + 6*p - p = -821. Let g = d + 3599\/13. Which is the second smallest value? (a) f (b) g (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -963713*n**5 - 3*n**2 + 750133*n - 1 wrt n?\nAnswer: -19274260*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 3*g + 8, 0*g + 3 = 5*d + g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3327.6439 + -3324.5. Let b = n - -4.2499. Let s = -7.4 + b. What is s rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 395 and 395.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 12:55 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*q = 22010, 7*g - 6*g = -3*q + 10981. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2. Let s(o) = 5*o**2. Let r(x) = 3*l(x) - 5*s(x). Let y(b) = 0*b + b + 3*b - 5*b. What is r(y(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + f + 6*f)*(-4*f + 3*f + 7*f)*(-26*f + 15*f + 255*f)*(2 - 2 + 2*f) to h*f**4 + v*f**2 + l + k*f + p*f**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(-151*j + 67*j + 83*j + 240) + 24 - 5 + 4*j - 13 to t + u*j and give t.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/((-5)\/30*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/37)\/k)**43 assuming k is positive.\nAnswer: k**(-1505\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/6*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0816206 centuries to years.\nAnswer: 8.16206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/1440*-390)\/(8 + 2270\/(-280))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(sqrt(11) - sqrt(176)) - (-5 + (sqrt(11) + 0 - sqrt(11)) + -2))**2.\nAnswer: 36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 1. Let m(u) = 3. Let x(d) = -5*a(d) + m(d). Suppose -2*q - 50 = -5*k, 2*k - 10*q + 9*q = 20. Let g(y) = -11*y + 5. Give k*x(t) + 4*g(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3733*z - 97087. Determine j(26).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -h - 19, 5*h + 10 = 5*u + 5 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 16) in base 3?\nAnswer: -20012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 61\/3)*3. Let j = 54 + l. Solve -22 + 2 = j*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + x - 55 = -4*x, 4*p - 40 = -3*x. Let n(c) be the third derivative of c**5\/15 + 13*c**4\/24 - 11*c**3\/3 + 65*c**2. Is n(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362747 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47545, 47474, 47399, 47320?\n\"Answer: -2*s**2 - 65*s + 47612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*l - 117*l + 39*l + l**3 + 7*l**3 + 35*l.\nAnswer: 8*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/469 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s = 111*s - 58*s - 12. Solve -9*k + s*k = -18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -5*z**6\/3 - 5*z**4\/4 + 41*z**3\/3 - 296. What is the third derivative of v(u) wrt u?\nAnswer: -600*u**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6188)\/(-13923))\/(20\/18). Let c(n) = -n**3 + 2*n - 1. Let y be c(-2). Sort -2, r, 2\/69, y in descending order.\nAnswer: y, r, 2\/69, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 + 5*j - 5. Let g(k) be the second derivative of 7*k**4\/12 + 4*k**3\/3 - 4*k**2 + 27*k. Calculate 5*g(c) - 8*w(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/12*(-105)\/(-28)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17 and 65\/94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 13*w + 11. Suppose -2*o - 5*f = -12, 0 = 3*f - f + 4. Let n be x(o). Let r = -12 - n. Which is the smallest value? (a) -3 (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013874 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**22\/h)\/h*h**22*h*h**(2\/135)*h**2\/h)**10 assuming h is positive.\nAnswer: h**(11884\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (499*(-260)\/(-8))\/2. Let q = v - 113533\/12. Let a = q + 1372. Calculate the common denominator of a and 70\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 15. Suppose -3*d + 12 = -2*d. Suppose -d = -3*i + 5*i. Let b be y(i). What is the nearest to 1\/2 in b, -3\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 + (2 - -7 - 1) + (126 - 122) - -9\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.700269 rounded to two decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 10*y**2 + 11*y - 12. Let t be f(9). Let a(k) = -3*k + 8. Let c(p) be the third derivative of -p**3\/6 - 50*p**2 - 2*p. Determine t*c(b) + a(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14195\/4 - 3531. Find the common denominator of z and -101\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:52 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 2. Calculate the remainder when 17 is divided by 9\/(-6)*(n - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14696848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11444 and 4196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**3 + v**2 - 4*v + 4. What is the smallest common multiple of b(1) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -56*m + 4. Let y be f(-1). Let x be (80\/y)\/((-10)\/(-9)). Let -2\/5*b**5 - 4\/5*b**3 + 4\/5*b**2 + x*b - 6\/5*b**4 + 2\/5 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 80*b + 28. Let r(x) = -27*x - 9. Let f(w) = 4*l(w) + 11*r(w). Is f(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {p: 1, x: 2, y: 3, u: 10, m: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6121 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = r - 8. Suppose -4*j = j - 20. What is the remainder when r is divided by (-70)\/(-8) + 1\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2226 or -2?\nAnswer: -2226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2376, 2379, 2382, 2385, 2388, 2391?\n\"Answer: 3*i + 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1014*r - 11583. What is the remainder when d(-12) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03472375 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 3*h - h)*(-h - 6*h + h) to b*h + w + c*h**2 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 24. Suppose b*x - 8*x = -1440. Suppose -k - 4*k = -x. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1130 at least -387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 5*a + 0*a - 3*a + 7*a**2. Let w be d(1). Solve -3*u + 2 = -j, -w = 3*j + u + 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121411333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*g = -292, -190 = -2*m - 0*g - 2*g. Let o be -4 + m\/20 + (-1 - 0). Which is the closest to -2\/5? (a) -1\/10 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239 times 176\nAnswer: -42064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-2))\/((-3)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - q - 16 = 0, 2*i + 2*i - q = 73. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -413, -0.4, -60875?\nAnswer: -60875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/20 - 41*y**4\/12 - y**3\/3 + 44*y**2 + 30*y. Let w be o(41). Solve s - 28 = -w*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s + 4 - 16 + 2*s - 8.\nAnswer: 14*s - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/76*((-48)\/(-32))\/(153\/(-136))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**9*v*v**22\/v)**50 assuming v is positive.\nAnswer: v**700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 8:19 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185\/152 - -5\/152. Is a at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -264 and -4.5?\nAnswer: 259.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53004376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -21, -45, -89, -159, -261, -401, -585?\n\"Answer: -l**3 - l**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 7*r**2 + 6*r - 8. Let a(w) = -w**3 + w**2 - 3*w + 2. Let y be a(2). Calculate the lowest common multiple of z(y) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28860 = -140*y + 134*y. Suppose 0 = 14*x - 24*x + y. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-15)*-3 + (-4 - 150\/(-19))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11421 (base 7) to base 2.\nAnswer: -101110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-118)\/(-22)*256\/9. Let p = c + -1414\/9. Calculate the common denominator of 73\/8 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.82 - -1.2. Suppose 4*l = 3*f + 7, 0 = -4*f - 4*l - 0*l - 28. Which is the nearest to h? (a) f (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**3 - 4627729*w**2 + 10181026*w - 1851096 = 0. What is w?\nAnswer: -925548, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57198*h**2 + 28594*h**2 + 28601*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*d**3 + 57*d**3 + 10876 + 8087 - 228*d**3 as p*d**3 + o + j*d**2 + i*d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458182.\nAnswer: 2, 193, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/3 + 27701*h**4\/3 - 191877898*h**3\/3 + 575467498*h**2\/3 - 575412101*h\/3 + 191794801\/3.\nAnswer: -(h - 13849)**2*(h - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -5, 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1010210212 (base 4) to base 6\nAnswer: 10004154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2421.79t to kilograms.\nAnswer: 2421790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-60)*-12*25\/10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 71244 + 7869 = 5*x, 0 = -3*x - 6*y + 47460. What are the prime factors of x?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Suppose -x + 4*x - 14 = 4*z, -4*x = 8. Let p(i) = -17*i - 7. Let o(s) = z*h(s) - p(s). Differentiate o(r) with respect to r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8*u + 35. Let i be o(4). Suppose -65 = -i*t - 10*t. Suppose -2 - 8 = -2*a. Solve -4*r + t*v + 27 = 2*v, a*v = 4*r - 37 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 97, 150, 205, 262, 321, 382?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*c, -6*t = -4*t - 3*c + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzuzuu. What is prob of picking 3 z and 1 u?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13899 + 13899 - 20*u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -208 - -4?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 121798 (base 10) to base 15\nAnswer: 2614d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.73 + -3135.5.\nAnswer: -3136.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**5 - 828*j**4 - 33196*j**3 - 351828*j**2 + 33200*j + 352656 = 0?\nAnswer: -158, -31, -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + 484\/10. What is the common denominator of (-50)\/p*-1*-2 and (98\/42)\/(-7) - (-23)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -5 - 4\/(-2). Let r be (-23)\/(-6) - 4 - 5\/(-30). Suppose 2*s + g - m = r, -5*s + 3*g + 20 = 4*g. Solve -s*y = -5*h - 25, -14 = -y + 5*h + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16770, 33543, 50316, 67089, 83862?\n\"Answer: 16773*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/12384 and -95\/4816.\nAnswer: 86688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -97*j**3\/3 + j**2 + 6*j + 376. What is the second derivative of d(s) wrt s?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54947 - 5.\nAnswer: -54952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3757\/9 + 417. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 4*v. Let t be 0 + 2\/(-2)*-5. Suppose v*x + t*x = 5. Which is the closest to -0.1? (a) x (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5327189 and 218.\nAnswer: 1161327202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(171) + 0 - sqrt(19)) + sqrt(19))**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6685913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/13 and -5\/4277 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 135 in -24, -2\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.776986 times 17\nAnswer: 30.208762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 433*u**3 + 54*u + 96 + 97 - 56*u + 2*u**2 - 193 in the form k*u**2 + o*u**3 + l*u + r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.41 - -13.5. What is the closest to 0 in -3, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 23. Suppose 8 = 2*t - 3*s + 19, r*t - 5 = s. What is the second biggest value in -0.78, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 + 4*r - 3. Let w be h(-5). Solve -w*i = -2*u + 12, 5*u - 22 = 2*i + u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 4)*((3*n - n - 5*n)*(-4 + 3 + 4) + 2*n - n - 4*n) as c + l*n and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*k - 47, 0 = k + k + 2*r + 24. Let w = 18 + k. Suppose 4*a + 2 = 3*z + 4, -4*a = -w*z + 10. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -281, 4, 1.\nAnswer: -281, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*w**2 + 15200*w - w**6 - 57*w**3 - 15207*w + 10*w**3 + 6*w**2 wrt w.\nAnswer: -120*w**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - (2 + (4 - 0)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(-22)\/h)*(h**(-14)\/h)\/h assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*q + 4*p, -1 = -2*q - p - 10. Let k be (q\/(-4) - -6)*1. Find the second derivative of 4*g - k*g**4 + 5 - 2 - 3 wrt g.\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let q(o) be the second derivative of 9*o**4 + 1791*o. What is q(v(y))?\nAnswer: 432*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**3 + 510*s**2 + 480*s**4 - 132*s**4 + 776*s**4 + 2055*s**2 wrt s.\nAnswer: 26976*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4\/15 (b) 2 (c) 0.0002 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 6*k**3 - 1 - 10*k**3 + k**3 + 5*k**3 as i*k + f*k**2 + h + s*k**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -1.0023?\nAnswer: -1.3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkj when three letters picked without replacement from ljkkljjj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*u + 5*u. Suppose -u*b - 7 + 23 = 0. Suppose -b - 13 = -p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, c: 1, m: 1, b: 1}. What is prob of sequence cl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5496?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5*-3 - 1. Is i >= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -1\/60*c**5 + c**2 + 0*c**4 + 0*c**3 + 0*c + 0 - 1\/15*c**6. Let d = -9 + 10. Calculate u(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 307.6 and 11943.\nAnswer: 3673666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = 68*d - 792828. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -3*z**2\/2 - 4. Let w be r(6). Let o = w - -36. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -1092, -15, -4, -2 in decreasing order.\nAnswer: 1, -1, -2, -4, -15, -1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -6*o - 25. Factor -5*g**5 + o*g**4 - 10*g**2 - g - 4 + 9 + 10*g**3 + 0*g**2 - 4*g.\nAnswer: -5*(g - 1)**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24750 and 450.\nAnswer: 24750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 3*r**2 + 2*r + 3. Let m be p(-2). Let g(q) = -7*q**2 - 5*q + 6. Let j(x) = 4*x**2 + 4*x - 3. Let f(s) = -3*g(s) - 5*j(s). Calculate f(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3164.103ug?\nAnswer: 0.000000003164103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1331 - 1317. Which is greater: y or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 92*i**2 - 326*i - 306. Let s be 6\/(-15) - 69\/15 - -7. Let d(b) = -3*b**3 - 184*b**2 - 655*b - 613. Let z(w) = s*d(w) - 5*t(w). Factor z(v).\nAnswer: 4*(v + 2)**2*(v + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -17, 3, 4 in descending order.\nAnswer: 4, 3, -1, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 101?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101286 is divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276 and 5612?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**14\/t)\/((t**(-11)\/t)\/t))**(1\/69) assuming t is positive.\nAnswer: t**(9\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 24*k - t - 20 = 0, -4*t - 25 = -k. Let p be (-14)\/(-8) - (0 + 2). Which is the nearest to 0? (a) p (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -910 - -910. Let o = 4.5 - 0.5. What is the third smallest value in o, 0.4, -2\/7, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20628 or -20661?\nAnswer: -20628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895.6516 years to months.\nAnswer: 10747.8192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-4 + -5 + 3 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/13 - 402982*r - 5238768\/13 = 0. Calculate r.\nAnswer: -1, 2619384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjj. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 944 - 544. Let k = g - 399.8. What is the biggest value in k, -2\/15, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (1 - 5)) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*sqrt(204)*-6)\/(2*(sqrt(768)*3 + sqrt(768) + sqrt(12))).\nAnswer: 24*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-165)*(-5)\/14*20\/(-60).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (42\/4)\/((-6)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 - 17250*s + 537633 = 0.\nAnswer: -5781, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4261032, -8522073, -12783114?\n\"Answer: -4261041*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 + 110\/((-18260)\/(-1162))*-1*(0 - -1).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from {p: 2, o: 1, u: 1, a: 3, f: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s*t**2 - 3*s*t + 32*s - 376*t**2 wrt t?\nAnswer: -2*s - 752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28817388.\nAnswer: 2, 3, 800483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:41 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 2, 8 in descending order.\nAnswer: 8, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2) + 1 - -3. Let h = 0.159 - -0.432. Let q = h + -0.191. Which is the third smallest value? (a) q (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -1\/12*a**3 + 1\/120*a**5 + 0*a + 3*a**2 + 0 + 1\/48*a**4 - 1\/240*a**6. Determine y so that r(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-4)\/24*0. Suppose 22*r - 24*r - 16 = j. Sort 1, r, -3\/4 in descending order.\nAnswer: 1, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.961 + 18.979. Let h = t - -0.06. Let i = -19.9 + h. Which is the closest to i? (a) -2 (b) -4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w. Let x(u) = u. Let d(i) = 24*i. Let a be 4*(4\/2 - 1). Let z(s) = a*d(s) - 72*x(s). Determine n(z(t)).\nAnswer: 144*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*u - 9*u**2 - 5*u**3 - 9*u + 11*u**2 - 27*u**2 = 0. Calculate u.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6656, 13313, 19970, 26627, 33284, 39941?\n\"Answer: 6657*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:25 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 592354868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 254 - 249. Solve -p*b - 2 = 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b**(-1\/3)*b)\/b))\/b)\/(b\/(b*b**3)))\/(b**(4\/9)\/(b*b**(-1\/7)))*(b*b*b\/((b\/b**(2\/5))\/b))**(2\/93)*b**(-3)\/b**(-2\/13) assuming b is positive.\nAnswer: b**(250462\/126945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14101 and 26432.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4582636 is divided by 169727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 7*m**2 - 7*m - 4. Suppose 0 = 4*y - 3*b + 15, 1 = y + b + 10. Let n be w(y). Determine q, given that 4*q + 4*q**n + 75 + 26*q - q**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 210*y - 22. Let v(c) = 209*c - 27. Calculate 6*h(f) - 5*v(f).\nAnswer: 215*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3 = -2*x - 1, -4*x = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 7*f**7\/30 - f**5\/5 + 35*f**2 - 8. Let o(b) be the second derivative of c(b). Find the third derivative of o(l) wrt l.\nAnswer: 1176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.6. Let c = -0.5 + 1.1. Let g = c - l. Which is bigger: g or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -232*z**3 + z**2 + z + 1. Let m be c(-1). Let n = m + -219. What is the lowest common multiple of 28 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y**2. Let a(t) = -13*t - 87. Let h be a(-10). Let v(w) = -37*w - h*w + 120*w - 38*w. Calculate v(q(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 + -110. Let j(v) = -6*v**3 - 2*v**2 + 2*v + 2. Let a(w) = w**5 + 12*w**3 + 3*w**2 - 5*w - 5. Let t(g) = h*a(g) + 5*j(g). Factor t(i).\nAnswer: 2*i**2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58486035 * 0.2.\nAnswer: -11697207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-1 - 0) + 50\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 498 and 16600?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004701772 rounded to 6 dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -24353443?\nAnswer: 24353451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/(-5) - 4186\/(-10490)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11915804 is divided by 5382.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 5. Let m(k) = 458*k + 665. Let o(y) = -22*d(y) - 2*m(y). Differentiate o(j) wrt j.\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -94, 30, 194, 392, 618?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314 + 574*u**2 + 20 + 813*u**2.\nAnswer: 1387*u**2 + 334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 9:38 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s**2 - 2007 + 2007.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50.5 or -6\/21481?\nAnswer: -50.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/15*(-1800)\/(-80). Let g be 6\/((-9)\/(81\/(-6))). Calculate the greatest common factor of k and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 439, 456, 483, 526, 591, 684, 811, 978?\n\"Answer: a**3 - a**2 + 13*a + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 79300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4\/13 - 106*l**3\/13 - 1278*l**2\/13 + 1386*l\/13 = 0.\nAnswer: -33, -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1286 + -796. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8993140187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*g + 6126 - 22853 = 0, -22322 = -4*n + 3*g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/6)*l**3\/l*(l**(2\/7)*l*l)\/l*(l\/l**(1\/3))\/l*((l**(2\/3)\/l*l)**(-7\/3))**(12\/7) assuming l is positive.\nAnswer: l**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -154, -640, -1466, -2644, -4186, -6104, -8410?\n\"Answer: -2*t**3 - 158*t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6003 = 4*r, 5*d + r - 5989 = 4*r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 34*z**2 - 22*z - 737. What is s(-34)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10\/x**1)**(-46) assuming x is positive.\nAnswer: x**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.6? (a) -2 (b) 2\/33 (c) -4\/7 (d) 59 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21459 - 21459.1. What is the nearest to d in 3, 0.013, 1\/11?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**4 - 2*f**3 - 2*f**2 - 2*f + 3. Let q(r) = -r**4 - r**3 - r**2 - r + 1. Let d(z) = m(z) - 2*q(z). What is the first derivative of d(k) wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 - 17224*b**3 + 634548*b**2 + 17224*b - 634550 = 0. What is b?\nAnswer: -1, 1, 37, 8575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 8:39 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.6 - -54. Let r = 75.4 - 78. Let o = l + r. What is o rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 + 2*b**2 - 5. Let d(r) = 10*r**3 + 6*r**2 - 16. Suppose -3*m + 3*o + 3 = -0, -3*m + 2*o = -7. Suppose g = -0 - m. Determine g*d(s) + 16*p(s).\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 9*p - 3*p)*(44 + 31 - 13)*(19 - 23*p - 3*p - 19).\nAnswer: -11284*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*a**2 - 50*a**2 - 41*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20, 10, -3, -1 in ascending order.\nAnswer: -20, -5, -3, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1082891\/40 - -27076. Let u = l - 33\/8. Suppose -4*y = 2 + 6. What is the closest to u in y, -0.4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 47 + (3 - -1) + (5 - 16) + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4 + 5*t**2 + 0*t**2 + 0*t**2 - t**3 + 6*t. Let q be r(6). Suppose 0*z + q = z, 0 = 3*f - 4*z - 8084. Round f to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.45 - 0.55. Sort 1\/3, 0, z in increasing order.\nAnswer: z, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151235347*k**2*w**3 - 194*k*w**3 - 68716*k + 2*w**3 wrt k?\nAnswer: 302470694*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -304712.93 + 304718.9300026. Let q = -6.07 - -0.07. Let x = i + q. What is x rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3 - 18248748*r**2 - 20813541098592*r + 20813559347344 = 0.\nAnswer: -2281094, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5118.579 millilitres?\nAnswer: 5.118579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 69096*h**2 + 276415*h + 124. Determine o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11877 - 11728. What is the remainder when 528 is divided by s?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 2*u. Let s be z(-2). Let y = 30547\/114 - 5088\/19. Which is the nearest to s? (a) 1 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916939*c - 1833843*c - 3*c**2 + 916904*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -174*h - 1214. Let g be a(-7). Let x(l) = l**3 + 5*l**2 + 3*l + 2. Let q be x(-4). Suppose -g*p = -q*p + 312. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 49*i**2 + 7*i**2 - 23*i**2.\nAnswer: -62*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - n + 13*n**2 + 2*n + 2*n - n**3 + 6. Determine k(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 11*t**2 - t - 3. Let o be i(11). What is the units digit of (-18)\/(-5) - o\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2033133 - 2100?\nAnswer: -2040233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 2 + 3 + 1 - 2 + (0 + 2 + 0)*(0 - 1 - 1))*(-j**2 + j**2 - 2*j**2) + (-2*j - j + 2*j)*(0*j + 0*j - j) - 2*j**2 + 4*j**2 + 0*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -23*m - 16. Let n(h) be the second derivative of -h**3 - 13760*h. Give n(i(q)).\nAnswer: 138*q + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzpq when four letters picked without replacement from xxzxqxxxxxpqpxpqqxpo.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -869, 2, -5 in decreasing order.\nAnswer: 2, -1, -5, -10, -869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 + 58 = 3*x. Find the third derivative of 21*f + 5*f**4 - 21*f - x*f**2 + 4*f**3 + f**4 wrt f.\nAnswer: 144*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -43 - (-320 + 316).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 1. Let g(u) = 2*u**2 + 2*u + 1. Let h be g(-2). Put 2, n, h in increasing order.\nAnswer: n, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 1576 = -146670. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + (4 - 0))*-6 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -913, -7676, -26087, -61984, -121205, -209588, -332971?\nAnswer: -497192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 18*f - 3*y = -6, 4*f = 21*y - 42 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1400*j**3 + 18*j**2 - 30*j + 84. List the prime factors of a(3).\nAnswer: 2, 3, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -173, -384, -689, -1094?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -867395736 divided by 3?\nAnswer: -289131912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2503*c*h + 52616514*c - 6307*h**2 wrt h.\nAnswer: 2503*c - 12614*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 9. Which is the biggest value? (a) 15 (b) 3 (c) r (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 52, -2\/9, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877807 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - (-132 + 86)) + -21 + -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*u = 423*u + 240*u - 66*u + 12933 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 523*b**3 - 165 + b**2 + 530*b**3 - 10*b - 1051*b**3 + 2*b**3 - 5*b**3 + 2*b**3 + (5 - 4 + 0)*(-5*b**3 + b**3 + 5*b**3) - 7 + 7 + 3*b**3.\nAnswer: 5*b**3 + b**2 - 10*b - 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 3, b: 4, g: 2}. What is prob of picking 1 t, 1 i, and 1 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 39*k**2 + 8*k + 11. Is n(-19) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4456 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 6. Let n(p) = 3*p**2 - 4*p - 3. What is the tens digit of n(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -4 - 5 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b + 55. Let p be y(-9). Solve -d + 3 = 0, 0 = -5*r - 2*d - 0*d + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367.109 decades to centuries.\nAnswer: 36.7109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 0.1, -0.01 in descending order.\nAnswer: 0.1, -0.01, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 1\/48*y**4 - 1\/120*y**6 + 1\/280*y**7 - 1\/48*y**5 + 0*y + 0 + 0*y**3 - 30*y**2. Solve q(m) = 0 for m.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1. Let s(r) = -r + 3. Let w(q) = -3*f(q) + s(q). Let o(k) be the third derivative of -k**4\/3 - 2*k**2. Determine o(w(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 10*y**2 + 25*y - 76. What is the units digit of i(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*p**2 + 4*i*p*z - 2*i*p + 160*p**2*z**2 + 9*p**2 + 134*p - 16*z**2 - 1 wrt p?\nAnswer: 4*i + 320*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1177)\/252 + (12 - -2 - 9) and -83\/448?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)*11\/(-33). Let x be -2*3 + 1\/1. Let m = 1\/5 + 3\/10. What is the nearest to g in x, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -6, -5, 7, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4071 = -1262*q - 56505 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m + 1. Suppose 2*v - 6 + 2 = 0. Is w(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3369 and -3.\nAnswer: 10107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**3 + v**2. Let x(h) = -8*h - 55. Let u be x(-7). Determine b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000845 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 85. Suppose -5*s = -b - 2 + 11, 39 = z*b - 3*s. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10900799 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 8*n + 27. Calculate the remainder when g(16) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 1106 + 1598. Is 44 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22549\/42 - 537. What is the common denominator of j and -15 + 9789\/442 - (7 - 3)?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924 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: Does 269 divide 181399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 - 147. Solve 0 = -5*a - 0*a + h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*m + 2*y + 54199 = -164*m, 0 = 4*y - 12. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 25. Let f = 0.02 + 1.98. What is the nearest to -1\/2 in y, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239073 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k - 33. Suppose 2*z = -z + 18. Let n be w(z). Let v = 80 - n. Solve -3*a - 2*q + 7 = 0, q = 5*a + 5*q - v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {l: 4, a: 1, i: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + 2*z**4 - z**4 + (z**2 - 4*z**2 + z**2)*(3*z**2 + 3*z**2 - 3*z**2) + 4*z**4 - 3*z**4 + z**4 + (0*z + 0*z - 3*z**3)*(1 - 1 + z).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(4\/(-8)*-10). Let q(t) be the second derivative of b*t**2 + 0 - t + 0*t**4 - 1\/4*t**5 - t**3. What is the second derivative of q(w) wrt w?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/2416 + -122001\/16912. Find the common denominator of f and (-1310)\/(-520) + (2 - 1 - 3).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222121202 (base 3) to base 4.\nAnswer: 21202301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = -k, -4931*v + 4926*v = 3*k - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9671171.\nAnswer: 19, 37, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 264195?\nAnswer: 2641a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1.1. Let b(t) = t**3 + 12*t**2 + 12*t + 11. Let z be b(-11). Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 440 and 440 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36504 is divided by 982.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*y - 20 = 399*y, 0 = 5*u - 2*y + 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/12*(-1 - (-1)\/5). What is the highest common divisor of 32 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*u + 4 = 0, -5 - 2 = -3*l + 4*u. Suppose s - 5*n = -8, s + l*n = 21 + 1. Factor -x**2 - 4*x**2 + s*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187) + -5*(sqrt(187) - sqrt(187)*2))\/(-3*sqrt(176)).\nAnswer: -7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 + 26530*x**2\/3 + 3107756*x + 271252776.\nAnswer: -(x - 26878)*(x + 174)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*x**3 + 72506*x**2 - 36509792*x + 2028098.\nAnswer: -2*(x - 1007)**2*(18*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-588))\/(-1*(-6)\/(-1021368)). Let y = -579 + c. Is -1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) + 54\/(-60). Let y = w - -1. Sort y, -2\/9, 1 in decreasing order.\nAnswer: 1, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 - 117. Let w = 8 + b. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 15868888.\nAnswer: 15868888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*x + 4263, q + 5689 = 4*x - 0*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 25. Let m be y(5). Solve -5*i = 3*t + m, -3*i - 4*t + 3*t - 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 - -6.6. What is the third smallest value in s, 3, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 2*i**4\/3 + 5*i**3\/3 - 22*i**2 - i - 44. What are the prime factors of c(-15)?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10463434 (base 9) to base 11\nAnswer: 2947506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 230, -537, -2642, -6763, -13578, -23765, -38002?\n\"Answer: -113*d**3 + 9*d**2 - 3*d + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 179136\nAnswer: -179136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.04, -2\/177, -4\/191 in increasing order.\nAnswer: -0.04, -4\/191, -2\/177, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1942 and 4.\nAnswer: -7768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*h + 825*h + 10 = -5*i, -h + i = -9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22837967687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 2*g**2 - 5*g + 6. Let x be o(3). Solve -l + x = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -7426?\nAnswer: -7423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 14. Let l be i(13). Let c be (l - 2)\/(3\/4). Let a be (1\/2)\/(c\/(-12)). Is 3 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 3*v + 5. Let k be (-498)\/332*(2\/(-6) + -1). What is s(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353346 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 53*x**2 - 107*x - 113. Give w(55).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k + 6. Let h(u) = 2*u - 68 + 24 + 20 + 22. What is 8*h(m) + 3*o(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 446 + -302. What is the highest common factor of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 13*t**2 - 14*t + 53. What is the units digit of n(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -53980, -2 in ascending order.\nAnswer: -53980, -20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -19*b**3 - 628*b**2 - 28*b + 93. What is r(-33)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -52. What is the first derivative of -v*y**3 + 2*y**4 + 2*y**4 + 34*y**3 - 26 wrt y?\nAnswer: 16*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*d*n*u**3 - 7*d*n - 2*d*u**2 + 3*n*u**3 + 3*n*u wrt u.\nAnswer: 882*d*n + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6335180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -6\/19, 5\/2, 3?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0 - -16) + 0. Suppose -101*l = -108*l + 21. Solve -l*v = 2*v + t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 276 - -1?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -252a (base 16) to base 3\nAnswer: -111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4802, -18874, -42350, -75260, -117634, -169502, -230894?\nAnswer: -301840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74559223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719987 is divided by 239757.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -13. Let s(o) = 2*o**2 + 10*o - 3. Let m be s(t). Solve 0 = -5*c - m, 3*q + 0 - 1 = 2*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -86, -3, 2\/9, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52746073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130594 (base 13) to base 4.\nAnswer: -1233303112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 10:08 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 142016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:57 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49244 is divided by 2729?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.6 - -12. Let s = 0.2 + -0.2. Which is the closest to s? (a) -5 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 265 (b) 1\/16 (c) 3\/32 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w - 124. Calculate the remainder when w*2*(-4)\/(-8) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let d(g) = -14642291*g**2. What is d(q(b))?\nAnswer: -14642291*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 6. What is the remainder when s(-6) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22549 or 23784?\nAnswer: 23784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, -2, 6, 4, -30.\nAnswer: -30, -2, 0, 4, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -21\/5, -2\/27, -8, -1\/31, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061 is divided by 968.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/30 and 34\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, -1, 165, 5 in ascending order.\nAnswer: -1, 0, 5, 11, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1274661*p + 96 = 5*y + 1274657*p, -3*p - 60 = -3*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 27. Let b(i) = 40*i + 206. Calculate the lowest common multiple of x and b(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1001 - 995. Suppose -41 = -v - u*o + 11*o, 0 = -4*v - 4*o + 44. Suppose 15 = 3*t, f - 14 = -2*t - 0*t. Solve -4*r + f = -v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**3\/6 + 5*p**2 + 2*p. Let a be m(-6). Let r(w) = -2*w + a + 3*w + 0*w. What is r(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (68\/(-12) + 6)*0. Solve x = 2*i - 5*t + 31, i = -2*t + 5*t - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(84) + sqrt(84))\/sqrt(7) - (0 + sqrt(12)*3)) + ((2*((sqrt(108) - (-1*sqrt(108) - sqrt(108))) + sqrt(108)))\/(sqrt(72)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: -10*sqrt(3) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 50*h**2 + 7796*h - 621. Determine n(-156).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -4 (c) 1 (d) -49\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-605)\/(-242))\/(5\/7).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 45275.7 to the nearest 100.\nAnswer: 45300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80367?\nAnswer: 3, 7, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 47. Let a(c) = -5*c + 145. Let h(f) = -6*a(f) + 17*g(f). Let u be h(-18). Solve 3*t + u = -l, -5*l = -26 + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12711, -12523, -12335?\nAnswer: -12147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + 38. Let f(l) = -136*l**2 - w*l**2 + 266*l**2. Let t(c) = 2*c**2 + c. What is -f(q) + t(q)?\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + (6 + -5 - -15 - -4 - 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(500)*4)**2)*1 + (4*sqrt(500) + -4)**2 + 3.\nAnswer: -320*sqrt(5) + 16023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -115*g**3 + 16*g**2 + 2*g - 8. Let r be p(-12). Suppose -5*i + 2*i + 4*w + r = 0, -133990 = -2*i + 5*w. Round i to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8*q + 50 = 5*q, 0 = 3*w + 3*q - 6. Suppose -443630 = -w*a - 29230. Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((0 - -1)\/((-28)\/56)). Which is greater: -5\/1401 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -10 (b) 4 (c) 7\/8 (d) -1 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/11*(0 - -2). Let d(m) = -10*m**3 - 5 + m + 8*m + s*m**3 - 5*m**2. Is d(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/432 and 103\/100?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -307*i**2 - 9*i - 86606526 + 86606526 to the form s*i + r + t*i**2 and give t.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (9 - (-6 + (2 - (2 - -5))))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**7*b)\/(b*b**(-17)))\/(b**(-38)\/b**(-17)))**(43\/5) assuming b is positive.\nAnswer: b**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/((-14)\/12*(-68)\/238)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 330, 324, 314, 300, 282?\n\"Answer: -2*h**2 + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 0. Let u = 8 + -5. Let m = u - q. Solve -2 = t - m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/250)\/((-3)\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5 - 6 - u**3 + 4 - 11*u**2 + 14*u**2 - 2*u. Suppose 0*q - 4*b + 28 = 4*q, 1 = -q + b. Determine s(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10264 + -5598. Let b be 4\/(-10) - 208\/(-20). Suppose -4104 - u = -b*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 25)*6\/7. Let n = o + 57. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291590745?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + 14. Let a = v - 15.200214. What is a rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2568)\/3424)\/(26\/8)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 720*t - 405 + 405 to the form b + l*t and give l.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3440, 3, 1 in increasing order.\nAnswer: 1, 3, 26, 3440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -119 + 0*c**2 + 54*c**3 + 23\/4*c**4 + 0*c. Find the third derivative of y(o) wrt o.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 + 8*c + 8. List the prime factors of t(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4378910 and 3309.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3667 (base 9) to base 14.\nAnswer: dd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2806404 + -4099?\nAnswer: 2802305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1143*h**3 - 1987*h**2 wrt h?\nAnswer: -6858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 11:09 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 233 + -101. Is x a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1775*b**2*u**2 - 3*b**2 - 19*u - 12 wrt u?\nAnswer: 3550*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q + 55*q - 107*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*2 + 178857\/(-8183)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12706634*h**2 - 74*h - 87423?\nAnswer: -25413268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0229*40\nAnswer: -0.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638602423.\nAnswer: 3, 37, 7923731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 131600850?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.0568083 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -713 <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728688 (base 9) to base 13.\nAnswer: 122042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5711866 or 5711864?\nAnswer: 5711864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/1172345 or -1?\nAnswer: -21\/1172345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/15409218 and 73\/18.\nAnswer: 46227654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 362707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -563642 - -13?\nAnswer: -563628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and (-7 - 174\/(-30))*-160?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19563009 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587519248?\nAnswer: 2, 67, 548059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = k - 4*k + 32, 4*k - z - 50 = 0. Suppose -40*h + 37*h = -k. Is h*(-6)\/(-12) + 246\/2 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 5*c**2 - 3*c**2 + (c - 5*c + 3*c)*(4 - 2*c - 4) + 3*c**2 + 0*c**2 - 4*c**2 - 1 + c**2 - c**2 - 3*c**2.\nAnswer: -10*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.63501 + -0.5523. Round t to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*l - 4 = 14, -4*l = 4*o - 24. Calculate the smallest common multiple of 2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -92494 and -23655.\nAnswer: -116149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10210202220100 (base 3) to base 2.\nAnswer: -111101101110111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 2}. Give prob of picking 1 h and 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -33, 111 in decreasing order.\nAnswer: 111, 12, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 1 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16866 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 44*i - 45*i = 4, 17*b + 0*i = -2*i + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 - 13*c**2 - 7. Let t(l) = 2*l**3 - 9*l**2 - 5. Let u(r) = 5*d(r) - 7*t(r). Let g be u(0). Sort -2\/13, g, 5, -2.\nAnswer: -2, -2\/13, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**6\/360 - k**5\/60 + k**4\/12 - 52*k**3\/3 + 3*k**2\/2 - 52. Let w(u) be the third derivative of y(u). Give w(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92.1 + 67. Let h = -24 - l. Let z = -3.4 + h. Round z to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1634757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.147218, 6, 5\/4, 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3\/2 - 1701*f**2 = 0 for f.\nAnswer: 0, 1134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + o + (-4*o + 34*o + 19*o)*(-7 + 3 + 6 - 1 + 0 - 1 + 2 - 3 - 1 + (1 - 2 + 0)*(1 + 4 - 3)).\nAnswer: -195*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 398*u + 2847. Give h(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8219*y - 3 - 3151*y - 3928*y.\nAnswer: 1140*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/12 - 3*c**3\/2 - 29*c**2. Determine a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k + 12*k + 0*k + (3 + 2*k - 3)*(1 + 0 + 1) - k + 6*k - 3*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/179 (b) -5 (c) 132955 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3\/(-126))*(-16)\/4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 2, i: 7}. Give prob of picking 3 i.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/7 - 5*f**3 - 323*f**2\/7 - 289*f\/7 = 0 for f.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from wfwlfawww.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2245?\nAnswer: -673.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*x - 17, -3*p = 4*x - 2*x + 2. Suppose x*s - 27 = 8. Suppose -s*h = -12*h + 140. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, v: 2}. What is prob of sequence bbv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3368 is divided by 1680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16757*t**4 + 59*t**3 + 503*t**2 - 334*t + 1 wrt t?\nAnswer: 402168*t + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/(-63) - 52\/(-315))*-1. What is the third smallest value in t, 2\/13, -0.7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 59 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 3, r: 5, p: 7, u: 2}. What is prob of sequence qr?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6056\/61 greater than 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 625 - 607. What is the greatest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2250*a**6*h + 68*a**6 - 15*a**2*h + 6*a**2 + 46*a + 161*h wrt a.\nAnswer: 270000*a**3*h + 8160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13253 = -23205*o + 22748*o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 14. Suppose -3*r + 4*w = 2*r - 30, -f*w + 25 = 0. Suppose -2*u + 4*k + k = r, u + 7 = 3*k. Solve u + 3 = 2*i, 3*i = -2*y + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 0*z + z)*(99*z**3 - 55*z**3 - 54*z**3) - 1075*z + 1075*z - 65*z**4.\nAnswer: -115*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21.9699 and 0.06.\nAnswer: -21.9099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-36 - -19 - -21) + 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 13*m - 12. Let s be j(-11). Suppose -4*x - s = x. Let c(g) = -2*g**3 - 4*g**2 - 3*g - 1. List the prime factors of c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -12. Let i(d) = d - l - 2*d - 4 + 5. Let p be i(-6). Solve -p*r - 3 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 17 = 2*u - 21, -4*v = -8. Suppose 3*w - u = -d, -5*d = w - 2*w - 43. Let r be (0 - (-4)\/10)*10. Solve r*p - p + d = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**3 - y**3 + y**3)*(16*y - 3 + 2 + 0) in the form o*y**2 + b + r*y**3 + d*y**4 + l*y and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1 + 0 - (-28 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -33.5. Let k = -19.2684 - -0.2684. Let r = k - o. Sort 2, -6, r in descending order.\nAnswer: 2, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 + 14*a**3 + 47*a**2 - 14*a - 48 = 0. What is a?\nAnswer: -8, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284420, 284422, 284426, 284432, 284440?\nAnswer: 284450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4596 divided by 27481\nAnswer: -4596\/27481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5 + 10*s - 8*s - 4*s - 2*s. Let h(i) = 138*i - 137*i - 3 + 2 + 1. Calculate q(h(r)).\nAnswer: -4*r - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - o - 2*o)*(-60 + 4413*o**3 - 4411*o**3 + 22).\nAnswer: 4*o**4 - 76*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.421 + -0.4209661. What is k rounded to six decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 8*t**2 + 5*t + 9. Determine i(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/222)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4 + 4622)*1)\/((-4)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -165 - -178. Suppose -5*r + 77 = -y. What is the least common multiple of r and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 67*i - 282. Calculate u(-38).\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {l: 3, m: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*r**3 - 3*r**4 - r**4 - 1 - 5*r**3 as k*r**3 + i*r**4 + t*r + x + n*r**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247579*g + 247579*g + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*o - 72, 0*r - 4*o - 64 = -2*r. Let l = 52 - r. Calculate the greatest common factor of 30 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + m - 33, -2*i + 4*i - 11 = 3*m. Suppose 4 = s - i. Suppose -s + 586 = 2*g. Calculate the greatest common divisor of g and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/8 - 7*c**4\/8 + 7*c**3\/4 - c**2.\nAnswer: c**2*(c - 4)*(c - 2)*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 2*t**2 + 2*t**2 - 3*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9548746627 and 1?\nAnswer: 9548746628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7992 divided by 18.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 487499621 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 divided by 985?\nAnswer: 286\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -88. Calculate the remainder when 184 is divided by (-5)\/r - (-172)\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/8 (b) -2\/9 (c) -1\/7 (d) -0.3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14) + (-133)\/(-49). Suppose -5*d - 21 + 1 = 4*w, 0 = d + s*w + 15. Let f(t) be the second derivative of t**3\/6 + t**2 - t. Determine f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 853, 862, 871, 880, 889?\n\"Answer: 9*s + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (6*1*sqrt(192) + sqrt(192)*1*3 + sqrt(192))**2) + 4.\nAnswer: 57616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or 1.49728?\nAnswer: 1.49728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 8672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 15*h + 34 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 527069*m**3*q**3 - 18*m**3*q**2 - m**3 - 2720*q**2 wrt q?\nAnswer: 3162414*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28480365?\nAnswer: 3, 5, 632897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 20*f**2 - 6*f - 96. Is t(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893066509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131 divided by 5?\nAnswer: 3131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 55871474.\nAnswer: -335228844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a + a = 11*a - 55*a. Let d(f) be the second derivative of 1\/4*f**4 + a*f**3 - 1\/5*f**5 + 34*f - 10*f**2 + 0. What is the derivative of d(h) wrt h?\nAnswer: -12*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 76*n - 2632. Calculate the least common multiple of b(45) and 6698.\nAnswer: 13396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/(-4)*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.154 - 1.154. Sort -1\/2, -3, z, -5.\nAnswer: -5, -3, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k + 5. Let a(b) be the second derivative of -7*b**3\/6 - 2*b**2 - 30*b. Suppose 0 = 3*o - 7*o + 24. Determine o*a(m) + 5*j(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 2*m**3\/3 + 11*m + 13. Let z(l) = -26*l**2. Give u(z(p)).\nAnswer: -104*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 4*f, 249 = -4*l - 3*f + 217. Sort -2, -4, -1, l in decreasing order.\nAnswer: -1, -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*s - 5 + 7 - 2 + 19*s as f*s + v and give f.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8 - 7. Suppose -566 = c*k + 232. What are the prime factors of k\/(-6) - (-4)\/(-12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400582.1cm in kilometers?\nAnswer: 4.005821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -451 (base 8) to base 13\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-49 - 1 - (-16 + 4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 - 40*x**2 + 10*x**2 + 9*x**2 + 15*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4244526 and 199342.\nAnswer: 4862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/20 + 2842\/140. Solve 4*q + 22 = 3*i, 5*q - 8 = -4*i - s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u + 17. What is the remainder when 101 is divided by z(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 12 = 2*w, 2*g + w = -4*w + 9. What is the first derivative of 1 + 2*v**2 - 4*v**2 - v**2 - g wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 - 176*b**2 + 91*b**2 + 85*b**2.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 - -100?\nAnswer: 10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/14)\/((-2)\/(-28)) - -1. What is the tens digit of (10*(-3)\/8)\/(5\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 23 - (-99 + 84).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -15, 1\/5, 245?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 0)*4 + sqrt(405)*-1 + -1)**2.\nAnswer: -54*sqrt(5) + 3646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 1 + 2. Suppose -1 = -a*s + 5. Factor -s*k**2 + k**2 + k**2 + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/40495 and 73\/110.\nAnswer: 890890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10601, 21154, 31693, 42212, 52705, 63166, 73589, 83968?\n\"Answer: -c**3 - c**2 + 10563*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2 + 0\/1. Let l be 1 + (-2 - 0 - -2). Let h = y - l. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129772 is divided by 2018?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-14))\/((-24)\/56)*0. Sort b, 3, 4, 10.\nAnswer: b, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000853 to five dps.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329452010 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246692*h**6 - 38*h**4 + 7*h**2 - 1243561.\nAnswer: -29603040*h**3 - 912*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 0 - (7 + -16 - -16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 5*g + 0*g)*(-1 + 6 + 4*g - 3) to the form a*g**2 + z + o*g and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/1827*21)\/(13 + -16).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12020 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102 less than 2102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 132264, -4 in ascending order.\nAnswer: -4, -0.9, 132264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/6? (a) -394 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = -2*a, -6*n + 4*a + 2 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -5*r**3\/3 - 15*r**2\/2 - 10*r + 103. Factor x(v).\nAnswer: -5*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -64577?\nAnswer: -9\/64577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4317079 = -5*n + 9*n + y, 6*n = 4*y + 6475602. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 - 2*g - 1. Let a be h(2). Let x be -4*((-10)\/8 - -1). Suppose 3 = 2*q + x. What is the highest common factor of q and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1810320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -68. Suppose -a = -268*v + 264*v. Solve 0 = 6*q - 2*q + v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 9, m: 3, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 466*z - 230*z - 172*z)*(3 + 4 - 3).\nAnswer: 256*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 363, 545, 743, 963, 1211, 1493?\nAnswer: 1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g - 3*x, -3*g - 2*g + 5*x = -10. Suppose g*j = 6*j - 120. Suppose m = -7*m + j. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8476330, -8476335, -8476340, -8476345, -8476350, -8476355?\nAnswer: -8476360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -709261 or -2?\nAnswer: -709261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81.9 - -82. Sort -4\/9, r, -0.5 in decreasing order.\nAnswer: r, -4\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -7272070?\nAnswer: -7272070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121156921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5961259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 6*z + 5. Let p be o(6). Let x(l) = -l**3 + l**2 + l + 13. Let n be x(0). Let b = n - 8. Is b at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 30*p**2 - 135*p + 2. List the prime factors of c(-7).\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -5*p - 3*n, n + 38 = p - 0*n. Let c be (-11)\/(-4) - (-9)\/p. Suppose 4*i = -5*h - 132, 2*h - 64 = c*i - 3*h. Which is bigger: -29 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369903.61 rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 88*q**2 + q + 88. Calculate d(-88).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211 - 221. Let w(s) = -143*s - 33. Is w(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*j*r - 2*g*j + 462*g*t + 2*j*r**2*t + j*r*t + 43*r**2 wrt t?\nAnswer: 462*g + 2*j*r**2 + j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612015 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 7581*s**2 - 7581*s**2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 137, 3, 3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-160)\/6*8\/(-5). Let a(t) = 2*t**3 + 54*t**2 + 144*t + 3. Let q be a(-24). Factor -8*l**2 + 2\/3*l**q - c + 32*l.\nAnswer: 2*(l - 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 3.87?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7578680 - 7578687.9999995. Let p = 8 + k. Let y = p + 0. What is y rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + c + 4 - 4*c**4 - c - 253*c**3 + 251*c**3 to r*c + b*c**3 + j*c**4 + p*c**2 + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 1157*c**4\/6 - 415*c**3\/6 + c**2 + 536*c - 2. Find the second derivative of j(b) wrt b.\nAnswer: 4628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in -6774, -0.1, 1\/9, -3, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l + 12. Let j(h) = -3*h - 4. Let r(i) = i**2 + 27*i + 45. Let c be r(-25). Let x(q) = c*w(q) - 16*j(q). Calculate x(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 1, g: 3}. What is prob of sequence ltgg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-118)\/4*(-2 + 4). What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -781 + 781. Which is bigger: s or 1\/39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 361094228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1961539 to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3547*n**2 + 3534*n**2 + 13 - 24 + 4.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 19.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -10. Let p = 9 + -6. Suppose 27 = p*g + 3*u, 2*u - 7*u + 15 = -g. Solve i + 9 = g*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-135)*(-10)\/16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8 + -2 - -9) + -7 - -4) + 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657359, -657420, -657481, -657542, -657603, -657664?\nAnswer: -657725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/12 + (-8)\/32. Let l = -19\/216 + -1\/27. Put l, -4, t in descending order.\nAnswer: l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -972890 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143435917\/14 - -10225397. Let l = -20053 - k. Let t = 300\/7 + l. Find the common denominator of -101\/2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 4*a = 10*y - 4, 5*a = -3*y + 32. Suppose 13100 = 21*w + y*w. Is 42 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.71 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 7*u**5\/20 + 7*u**4\/24 - 14*u**2 + 30*u. Let b(x) be the first derivative of k(x). Find the second derivative of b(g) wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -75232 from 0.55.\nAnswer: 75232.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9412467 is divided by 355?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2703116*0.2\nAnswer: -540623.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 5*c - 5*b - 0*b, 3*c - 7*b - 56 = 5*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*1*3 + -2 - (sqrt(304) + sqrt(304)*-1 + 5 + 0))**2 + -1)*5*-4.\nAnswer: -55680 + 3360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/26)*((-12)\/21)\/(232\/(-609)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f + 56. Let x be h(9). Let u = 113 - 108. Solve u = -x*w + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -23*k**2 + 184*k - 49. Determine w(9).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 306, -4, 5, -5 in decreasing order.\nAnswer: 306, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 2.2.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -37*n + 217. Calculate b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -7*p**3\/3 + 240. Let u(w) = -22*w. Calculate u(y(a)).\nAnswer: 154*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-34)\/(-16)*(-1296)\/(-250236) and 23\/16?\nAnswer: 37072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 2*u - 4. Let y be w(0). Let v(b) = -b**3 - 5*b**2 - 6*b - 6. Let d be v(y). Solve 0 = -d*o + 3*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9976846ml to litres.\nAnswer: 0.0009976846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292828524 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 1. Let t(j) = -10*j - 20. Let o(z) = 20*l(z) - t(z). Let s(k) = -2*k. What is o(s(q))?\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*j = -106*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25961 equal to 25959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-84)\/(-22) - (-10)\/55. Suppose u - 5*u = -x*a - 16, -u - 8 = 2*a. Let c(r) = -r**2 + 2*r + 2. Let o(j) = -2*j**2 + 3*j + 3. Calculate a*o(f) + 6*c(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -607, -1542, -3123, -5368, -8295, -11922?\n\"Answer: -3*j**3 - 305*j**2 + j - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/(-8)*351\/((-19656)\/(-128))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198602\/115 - 1727. Let m = b + -247\/230. Find the common denominator of m and (-134)\/(-8) - (-2)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43172 is divided by 257?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/30)\/((-8)\/20))\/(123\/(-369)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 1290*q + 16987. Let d be f(-13). Solve 73*p = 67*p - d for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1654368\nAnswer: 8271840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 9:59 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 549 * 53.8.\nAnswer: 29536.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.069422 months in millennia?\nAnswer: 0.0020891185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-93)*(12\/8)\/((-75)\/(-25)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**5\/20 - 5*j**4\/12 + 26*j**3\/3 - 2*j + 3. Find the second derivative of d(f) wrt f.\nAnswer: -6*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 9*c**2 - 13*c + 8. Let w be q(11). Let z = w - 71. Suppose 41*j + 235 = z*j. Is -47 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*y - 25, 20 = 2*y - 6*y. Let w(x) = 0*x + 2 + i*x**3 + 1 + 2*x**3 + x**2 - 2*x. Does 7 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19827 divided by -3\nAnswer: 6609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205005544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6029.989 + -6022. Let x = 0.011 + n. What is the third smallest value in -4, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.276 and -0.05?\nAnswer: 0.1138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -27. Let j = i + -7. Let z = -487 + 488. Sort z, 2, -3, j.\nAnswer: -3, j, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 95, -7*v - 123*m = -124*m - 54 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/13)\/(q**(-34)\/q)*(q**(8\/15))**(1\/31) assuming q is positive.\nAnswer: q**(212144\/6045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7636 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40314 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/338415 in 1, -4, -0.2, -5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/1858835?\nAnswer: -16\/1858835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1552*h + 1695*h - 2002 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1828 - 8?\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*r**3*t + 55*r**3 + 40*r**2 - 46*t**4 - 11*t**3 wrt t.\nAnswer: -3*r**3 - 184*t**3 - 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vevvvvvv. Give prob of picking 1 e and 1 v.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -14*j + 41827098, r - 8131788 = -3*j + 831157. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53012*l - 2422*l + 12283*l.\nAnswer: 62873*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 15*b**2. Let s(g) = 214*g + 209*g - 427*g. Give n(s(y)).\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 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 third derivative of -4891462*m**4 - 301*m**2 - 8886*m + 2?\nAnswer: -117395088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33426 + 34656 = 42*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -15) + -8 - (3 - (-2 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/4 - o**4\/6 + o**3\/3 - o**2\/2 + 2*o. Let x(h) = -h**3 + 5*h**2 + 6*h + 1. Let i = 0 - -6. Let r be x(i). Give y(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/262 (b) -12\/13 (c) 88\/13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67775, -67751, -67665, -67517, -67307, -67035?\n\"Answer: 31*m**2 - 69*m - 67737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29621 by 494.\nAnswer: -1559\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuuuauusuaujuuuuukuk. What is prob of sequence ujau?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 1 - 1 + (-2*x + 0 + 0)*(0 + 4 - 2))*(149*x**2 + 334*x**2 - 108*x**2).\nAnswer: -750*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*a**4 - 68*a**4 - 66*a**4)*(5 - 66 - 9 - 75).\nAnswer: 5655*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 4*f**2 - 10*f - 17. What is the remainder when 54 is divided by l(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (-15 + 44 - -4) - (-1 + 2 + -43)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.0781*-10\nAnswer: -10.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008405 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 4*y - 1. Let c(m) be the first derivative of m**3 + 3*m**2\/2 + m + 4. What is -6*c(r) - 5*z(r)?\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*d - 2, 33 - 21 = 2*x. Let a(i) = -21*i - 2. Let n(j) = -11*j - 1. Let v(r) = 6*a(r) - 11*n(r). Calculate v(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 27*v - 13. What is n(4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710 plus -287053?\nAnswer: -288763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 67761705*l. Let y(t) = 3*t. Determine j(y(h)).\nAnswer: 203285115*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2 + 17. Let u = 18 - q. Is (u - 32)\/((-2)\/(-268)*2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/2 - 100351*a - 10070323201\/2 = 0. Calculate a.\nAnswer: -100351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/13)*p)\/(p**(-1\/2)*p))\/(p\/(p*p\/(p\/(p*p*p**1*p))*p)*p)**(-2\/41))\/((p**0)**49\/(p**(2\/5))**(6\/13)) assuming p is positive.\nAnswer: p**(8759\/5330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2036865372 to the nearest integer?\nAnswer: 45132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7363 = 151*q - 19213. Solve -24 = -164*f + q*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 250 = -5*c, -m - 150 = -3*c - 6*m. Suppose -204 = -4*l + 2*b, 275 = 5*l + 5*b + c. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3\/4 - 993*z**2 - 3969*z\/4 = 0?\nAnswer: -1323, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 339534892 to the power of 1\/3, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97332300 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 29505?\nAnswer: 29505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7 - 6 - 2 + 6*u. Determine y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 4 - (-30 - -20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-1\/17)*q)\/(q\/(q**(1\/40)*q)))\/(q**(-7))**(-1\/5) assuming q is positive.\nAnswer: q**(229\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290194 by -22.\nAnswer: 145097\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10243905.\nAnswer: 3, 5, 7, 97561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27544398.\nAnswer: 2, 3, 7, 137, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 389*m - 61466. Determine l(158).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 2*t + 5 = 3*n, 5*n + 3*t = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789779826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 101 = -94 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4.53 * -3615100\nAnswer: 16376403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-109)\/(-6) - ((-85)\/(-6) + -14). Solve t*j + 14 = 140 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.44 - -1.683.\nAnswer: -3.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -5, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b + 36. Let c = 21 + b. Let i = c - -28. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) 1\/14 (b) 5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172 + 124 + 39)*(2*m - m + 4*m).\nAnswer: 1675*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*s + 15 + 33 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gse when three letters picked without replacement from swgeegigggev.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -3047\/74?\nAnswer: -3047\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77028 divided by -6.\nAnswer: -12838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*p**4 - 5*p**2 + 1.\nAnswer: 2928*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2201212121100?\nAnswer: 2201212121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1175 - 836.8825. Let f = 925.9 + x. Let a = 93 - f. What is a rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o + 6. Let l(s) = 13*s - 5. Suppose 2*h = y - 5*y - 26, -2*h - 2 = -2*y. Let j(m) = h*g(m) - 6*l(m). Let p(c) = c**2. Determine p(j(k)).\nAnswer: 169*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 2 + 16*q - 3*q + (0*q - 3*q + 4*q)*(1 - 2 + 2).\nAnswer: 14*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4165 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b. Let y(g) = -g. Suppose 0 = 4*d - 25 - 47. Let c = -10 + d. Suppose 10*o - c = -48. Determine o*z(a) - 5*y(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5528511435?\nAnswer: 3, 5, 17, 61, 355417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110, -332, -664, -1106, -1658?\n\"Answer: -55*m**2 - 57*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 40*u = 4046. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -7*s**6\/8 - 124*s**5\/5 + 721*s**4\/16 - 26*s**3\/3 - 25*s**2\/2 - 1215. Let d(b) = 0. What is b?\nAnswer: -25, -2\/7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/(0 + -1). Let p = 9 - 7.8. Let s = 1.1 - p. What is the nearest to 0.3 in o, -5, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 2\/59 (c) 2 (d) 0.3 (e) 573.98 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 356, -3\/7, -6.47, -0.2, -0.4, 22?\nAnswer: -6.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k**2 + 163695*k. Let r(l) = -5*l**2. Calculate h(r(w)).\nAnswer: 250*w**4 - 818475*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = -r - 135, 823*m = 822*m - 5*r - 35 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/500 and -48\/56365?\nAnswer: 5636500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165318 divided by 1165318?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -365, -2292, -5627, -10370, -16521?\n\"Answer: -704*d**2 + 185*d + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1\/(-1)*1. Let n be (2 - j)\/((-1)\/(-4)). Let i be 2\/(-2*(-1)\/2). Solve -i - n = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) -3684 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2 = -1351*u + 1354*u, -5*u - 12 = -2*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 282\/(18894\/134)*2\/((-12)\/1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/40*(-1)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*p**2 + 438*p**2 - 372*p**2.\nAnswer: -310*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635*u - 242*u - 217*u + 3078 = 233*u for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*a + 1227 = -609, 1249 = 2*i - 3*a. Calculate the remainder when i is divided by (97 - 35)*(25\/10 - 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2547114)\/(-162) + 5 + 399\/(-81).\nAnswer: 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 - (-2 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 8*p**3 + 8*p**5 + p**4 + 38*p**4 - 11*p**4 - 12*p**2 = 0.\nAnswer: -3, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -8.9. Let g = 0.032677543 - 8.032677743. Let a = g + l. What is a rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78231 times 2931?\nAnswer: 229295061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w - 11. Let o be k(-3). What is the highest common factor of o and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -18*i**2. Let b(l) = -33*l + 3. Let v be b(-2). Let d(a) = 31*a**2 - v*a**2 + 33*a**2. Give z(d(w)).\nAnswer: -450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -126, 0, 318, 918, 1890, 3324?\n\"Answer: 15*o**3 + 6*o**2 + 3*o - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 251 = 5*c - 5*x, 12*c + x = 478 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491387.\nAnswer: 13, 37799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0 (c) 5 (d) 1\/4 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n + 0*n)*(39*n - 462 + 462)*(2*n + 0 + 0)*(n**2 + 6*n**2 - 5*n**2).\nAnswer: 312*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Let h be 0 - 4*(0 + -1). Suppose v = -p*m + 19, 2*v - 57 = -v - h*m. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -2721, -8986, -21189, -41310?\nAnswer: -71329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:57 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(208) + sqrt(234)\/sqrt(2).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.2, 1, 29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10120 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*823\/(-7)*(-35)\/20. Let p = q - 307. What are the prime factors of p?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67\/11 - -279\/44. What is the third biggest value in -3, j, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 6:18 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 10 = 0, 3*i + 3*u = 8*i. Let z(b) = 38*b**2 + 5*b + 2. Let l(f) = 113*f**2 + 14*f + 5. Let a(v) = 6*l(v) - 17*z(v). Is a(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1020, 3857, 8476, 14883, 23084, 33085, 44892, 58511?\n\"Answer: s**3 + 885*s**2 + 175*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -321 + 93 + 109 + 117.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkrrrkkkkkkkkrkkr. What is prob of picking 2 r?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85) + -2*sqrt(85)*-5))\/(3*sqrt(60)\/sqrt(300)).\nAnswer: -110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/8)\/(1\/4). Suppose 4*j - v - 15 = 4, 2*v = 2*j - 14. Suppose -17 = -3*p - 2*b, 0 = 2*p + b - j*b + 6. Solve 3 = -p*c - h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24824 + -273067\/11. What is the closest to -1 in v, 0.05, 4, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 + 617\/2. Let h = 2 + 3. Put w, 0.13, h in ascending order.\nAnswer: w, 0.13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + 0.01. Let m = o - 24.04. Let r = m - -24.00042. What is r rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**2 + 2*s**2 - 2*s**2)*(-495*s - 38405 + 38405) to the form l + o*s**3 + i*s**2 + u*s and give o.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 987785240 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*((sqrt(128) + -3 + sqrt(128) - sqrt(128) - sqrt(128)) + 2)**2*-2*-6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192888637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -17 - (0 - 0) - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 12 = -0*u. Suppose -5*g = -u*a - 3*g + 12, 14 = -a - 4*g. Find x such that -1\/3 + 1\/3*x - 1\/3*x**3 + 1\/3*x**a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2142435, -2142449, -2142463, -2142477, -2142491?\n\"Answer: -14*c - 2142421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833 is divided by 81?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3597 + 3591. Put 43, 2\/5, c, 4 in decreasing order.\nAnswer: 43, 4, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196620 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 - 4 = 0. Let s(h) = 2*h**2 + 17*h - 24. Let g be s(-10). What is the greatest common divisor of o and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*i**2*l - 63*i*l**3 - 59*l**3 - 357*l**2 wrt i.\nAnswer: 140*i*l - 63*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175.41183 - -175.4. Round d to four dps.\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000434134396 to 6 decimal places.\nAnswer: 0.000434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0 + 2*w**2 - 2)*(0 + 9 + 0).\nAnswer: 9*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1.814.\nAnswer: -0.7256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 217? (a) 0.008 (b) -0.37 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5879)\/(-6) + (14\/(-12))\/(-7). Let p = -693 + k. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -118, -3824, -10000, -18646, -29762, -43348?\n\"Answer: -1235*x**2 - x + 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -37*q**4\/8 + 113*q**3\/3 + 61*q**2 + 6*q. Give m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/595 and -16\/9.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35027711 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 847252*j - 409684*j + 792724*j.\nAnswer: 1230292*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*k**4 - 2*k**6 - 6*k**2 + 4*k**6 + 0*k**4 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Suppose f*l - 4*j = -4, j = 2*l - 4*j + 2. Suppose -4*h - 5*o - 31 = -h, -o - 13 = 4*h. Put 3, h, l in descending order.\nAnswer: 3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*u - 103*u**4 + u**3 + 15*u**2 + 1036*u**4 - 931*u**4 - 3*u**3 as x*u**2 + f*u**3 + n + k*u + b*u**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**5\/40 + 4*z**4\/3 + 28*z**3 + 288*z**2 + 165*z. Factor h(r).\nAnswer: (r + 8)*(r + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**6\/180 + s**4\/72 - 44*s. Solve i(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 10)\/((-1)\/1). Let k = r + -9. Let p(i) = 9*i**2 + i. List the prime factors of p(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -12) - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33096 and 33600?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -d7 (base 16) in base 15?\nAnswer: -e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637589176?\nAnswer: 2, 7, 1626503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9 - 7. Calculate the lowest common multiple of 6 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -3, -6, -0.09, -4, -0.5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 10. Let n be -3*1 + (1 - v). Is 3 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 7*j**3 - 2*j**3 - 7*j**2 + 6 + 11*j**2 to the form c*j + q + s*j**2 + h*j**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.9 (b) 0 (c) 66\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529419 a multiple of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/4, 5, 6\/325?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 6*t**2 + 6*t - 12. What is o(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453.751322 rounded to the nearest ten?\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 23982783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -39, -29, 17, 111, 265?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 349*s**3 + 2*s**2 - 510*s**4 - 2*s**2 - 208 - 349*s**3 wrt s.\nAnswer: -2040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - x**4 + 6*x**5 + (1 - 3*x**3 - 1)*(-2*x**2 - 2 + 2).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/5 - 349733*s\/5 + 3672417\/5 = 0.\nAnswer: -174877, 21\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(147) + sqrt(147))*-5 + (1 + sqrt(147))*-5 - (4 + ((sqrt(147) - (sqrt(147)*2 + sqrt(147)) - sqrt(147) - sqrt(147)) + 4)*-2))**2 + -4.\nAnswer: 112*sqrt(3) + 9405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvllhllhls. What is prob of sequence vl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:19 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 22 = -4*a, 2*n - 70*a = -67*a - 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 276.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 2. Let p(b) = -21*b + 10. Let h(y) = 4*p(y) + 22*v(y). Differentiate h(d) with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-3 + 5)\/(-4). Let x be (z - 1) + (-16)\/7. Which is the nearest to 1? (a) x (b) -1\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*a - 191*a = 324. Suppose -5*q = -8*q + 36. Solve a*s + q = 22*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, -101, -442, -859, -1334, -1849, -2386, -2927?\nAnswer: -3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95038, -95037, -95036?\n\"Answer: m - 95039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8086, 8095, 8102, 8107?\n\"Answer: -y**2 + 12*y + 8075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166*s**2 - 41257617*s**3 + 1166*s**2 + 41257904*s**3.\nAnswer: 287*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -946, -1896, -2834, -3754, -4650?\nAnswer: -5516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 45581 divided by 1944\nAnswer: 45581\/1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/27)\/((-2)\/(-1407)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*n + 22, 0 = -4*b + 2*n - 0*n + 18. What is the second derivative of 54*v + 0 + 36*v**5 - b*v**3 - 55*v + 1 wrt v?\nAnswer: 720*v**3 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g - 2 + 2 + 9*g. Let a(x) = -2. Calculate -a(h) - 2*i(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1457*b**3 + 2948*b**3 - 1494*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6211469 is divided by 221837.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 10*q**5 - 8776*q**4 + 57512*q**3 - 22580*q**2 - 57522*q + 31356 = 0?\nAnswer: -1, 3\/5, 1, 6, 871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 42*j + 11. Let d be m(8). Let n = d - 181\/2. Factor 3\/2 - n*k**2 - k.\nAnswer: -(k - 1)*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:05 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.24 + 14.6. Let p = b + -1.9. Let n = p - -0.3. Round n to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*t - 4*t + 62 = 0, 2*p = -4*t + 36. Let z = p + -17. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93538, 93550, 93584, 93652, 93766?\nAnswer: 93938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15394.719 + 15387. Round r to one dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2\/5 + 523*l\/5 - 131\/5 = 0. Calculate l.\nAnswer: -131, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/1 - (-9 + -29). Let f = q + -21. Suppose -3*p + 3*b = 5*b - 7, -6 = -3*b. Solve w + p = r, f = -3*w - 2*w + r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-8))\/((-9)\/(-27432)*-9). What is n rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-405)*(-45)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27774*z - 14618*z - z**2 - 14605*z - 2*z**3 - 3 in the form m*z**2 + t*z**3 + g + o*z and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690179.2 take away 0.1025?\nAnswer: 690179.0975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 69015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448*b - 73*b**2 - 63*b**2 + 48*b**4 - 10 + 134*b**2 + 445*b to the form g*b**2 + q*b**3 + a*b**4 + j + w*b and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -20. Let s = x - -14. Suppose s*m = 5*m + 2*l - 44, l - 2 = 0. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*d = -87*d - 7802928. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 11}. What is prob of sequence mm?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8029886 is divided by 1338311.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulvusseulvulssusu. Give prob of picking 3 s.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p + 1. Let s(z) be the second derivative of 2*z**3\/3 + z**2\/2 - 10*z. Calculate -5*h(v) + 7*s(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3951.\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 2 + 2)*(-3 - 3 + 4) - 1 + 1 + g - 2*g + 3*g + 2*g as p + o*g and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a. Let z(o) = -o - 6. Let c(h) = -2*h - 11. Let n(i) = 6*c(i) - 11*z(i). Let f(q) = -3*l(q) + 14*n(q). Let y(g) = 4*g. Calculate f(y(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 527\/8 - 66. Which is the third smallest value? (a) 2 (b) -59 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjj. Give prob of picking 1 j and 1 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5793 - -5732. What is the nearest to 0.1 in c, -4\/5, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 7*k**2 - k - 2. Let a be m(-7). Suppose 2*y + 3*t + 1 = 2*t, a*t - 10 = 5*y. Is -2\/1285 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxxxxee?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.1745 times -2\nAnswer: -2.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 3. Let n be h(-3). Suppose n = -g + 6*g - 1620425. Suppose 2*j + 184000 = 2*k, -g = -5*k - j + 135915. Round k to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose c + c + a - 2900002 = 0, -c + 1449994 = -j*a. What is c rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 6. Suppose -4*f + 2*f + 22 = 0. Let n = f - 17. What is t(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -18*y**2 - 6. Let i be (-6)\/(-4)*-2 - -9. Let w(o) = 17*o**2 + 5. Let z(g) = i*v(g) + 7*w(g). List the prime factors of z(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270 (base 15) to base 12.\nAnswer: 3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 132716465 times 4\nAnswer: 530865860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*g**2 + g + 957 wrt g.\nAnswer: 106*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45721 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxdd when four letters picked without replacement from oxyyodoooooxdyd?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 14. Let h be v(-7). Let i be -2*(60 + 2\/2). Let a = i - -124. Solve 0 = -a*f + h - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(-300) - 4\/30.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 5*m + 4. Suppose 5*g - 4*o + 10 = 0, 0 = -3*g - 4*o - 2 - 36. Give d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 160 = -2*f. Suppose 12 = 3*j - 48. What is the highest common divisor of j and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/965? (a) -1\/8 (b) 0.01 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135159?\nAnswer: 3, 45053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 644 + -644.0655. Let v = h - 1.9345. What is the smallest value in 3, v, -1, 0.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607*f + 266 = -593*f. Solve -3*m + 16 = f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -336, -3, -0.2, 3\/139 in descending order.\nAnswer: 3\/139, -0.2, -3, -28, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.4 (b) -10 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.16 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 14*p - 13. Let d be f(-15). Let q be (6 + -6)\/(-1 + d). Suppose q = -g + 17 - 4. Which is smaller: 15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80189 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2 + 2. Let j = z + 3. Let s = 17\/26 + -2\/13. Which is bigger: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcg when three letters picked without replacement from {c: 4, g: 3, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2325 - 1210. Let p = q - 512. Let m = p + -134. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, u: 4, b: 1, y: 5}. What is prob of picking 1 b, 1 y, and 1 s?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 567 - 382. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*h**2*i*n - 2*f*h**2*i - 252*f*i**3*n - 199*f*i + 3*f*n + 25*h**2*i**2 - h**2*i*n + 2*h**2*n - i**2 wrt i?\nAnswer: -1512*f*i*n + 50*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 368975 or 3320774\/9?\nAnswer: 368975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 + 5*y + 18. Let r be d(-5). Let j = r + 12. Solve -3 = -2*p + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -927081 by -5.\nAnswer: 927081\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 14*a + 70. Let d be b(-11). Solve -d*z + 21 = -30*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 168.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99)*1)**2 - 6*((sqrt(99) + -2)**2 - sqrt(99)))*-3.\nAnswer: -270*sqrt(11) + 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwqwmwmmmmw. What is prob of picking 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffuujffjfxfvuvjjfu. Give prob of picking 2 j and 1 x.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y + 4*z - 44, 0 = -2*y - 3*z + 113. Let w be ((-3)\/(-9))\/((-1)\/(-15)). Suppose -w*i - 4 = -84. Calculate the highest common factor of i and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-3)\/9*(2 - 52*5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 26. What is the units digit of g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqqiiqqiqifqiq. Give prob of sequence iifq.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*v**3 - 46*v**3 - 9*v + 84*v**3 - 6*v**2.\nAnswer: 3*v*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/50)\/(6\/5)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-33))\/((-86)\/3311).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82502 is divided by 887?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -33\/293, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -15*u + 10*u - 2*h + 36, -54 = 65*u - 3*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468510675.\nAnswer: 3, 5, 199, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 24 + 29 + -26.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*o = 1225*o + 106048 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -488.53 - -494. What is t rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 2. Let m = 1 + 4. Suppose -k - y = -3*z, z + 3 = 2*k - m. Solve -k*j + j = -15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132 + 14*r**2 - 5*r**2 + 140 + 2*r**3)*(3 + 1 - 5).\nAnswer: -2*r**3 - 9*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(68)\/sqrt(4)*-6.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3))**(-2\/17)\/(c*c**(-1)\/c)**(-1\/8))**(1\/11) assuming c is positive.\nAnswer: c**(-131\/4488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z + 29 - 349 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 390 + -386. Let k = 3 - 3. Let h be (0 + 6\/4)\/(-9). Which is the biggest value? (a) k (b) w (c) h (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 5\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = -0. Suppose 0 = -5*w - i + 420, -2*i - 9 = p. What is the highest common factor of w and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**4 + 221*l*x**3 - 2909*x**3 wrt l?\nAnswer: 4*l**3 + 221*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.246\nAnswer: -0.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037279942?\nAnswer: 2, 47, 431, 25603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15557 (base 12) to base 11.\nAnswer: 20731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3 - 5 + 9*v**2 + 9*v**2 + v**3 - 24*v**2 - 3*v. What is r(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1525689383 from 8.\nAnswer: -1525689375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 4*i + 5*z - 353, 0 = -5*i + 4*z + 373. List the prime factors of i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-270)\/(-126) - (-4)\/(-2). Let t = 1\/541 - 10823\/1623. What is the fourth biggest value in 1\/4, t, c, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmggmgmugugu. Give prob of sequence gm.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x + 3*u - 38, -4*x = -u - 126. Let h = x + -32. Solve 3*c = -h*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*(g*g*g*(g**(4\/3)\/g)\/g)\/g*g*g*g*g**(-8\/5)*g assuming g is positive.\nAnswer: g**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5082, 5111, 5198, 5373, 5666?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 2}. Give prob of sequence zi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -925, -3 in descending order.\nAnswer: -3, -6, -925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 7, s: 2, t: 2, k: 4}. What is prob of picking 1 i and 3 p?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*m = h + 3*h + 2*m + 4, -8*h - 4*m = -2*h - 7*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.3. What is the closest to -1 in 0, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -10 (b) 2\/9 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92198 is divided by 356.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 2*z - z - 5*z - 31 to c + j*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*f - 2*f - 630. Suppose -3*b - 57 = -39*x + f*x, 3*x - 2*b = -82. Put -2, 1, 3, x in descending order.\nAnswer: 3, 1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**6 - 2*t**5 - 11*t**2 - 2*t. Let n(a) = -a**5 - a**2 - a. Let p(j) = -5*g(j) + 10*n(j). Find the third derivative of p(v) wrt v.\nAnswer: -3600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6787\/23975 + -9\/3425. Let x = 0.009 + -0.969. Sort g, x, 4 in descending order.\nAnswer: 4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8306.406 micrograms to tonnes.\nAnswer: 0.000000008306406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6073686, 6073684, 6073680, 6073674?\nAnswer: 6073666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153154.5um in nanometers?\nAnswer: 153154500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-22) - (4 + 7734\/297)) + (-1790)\/(-8055).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189*q**4 - 8*q**3 - 2178*q + 181942464.\nAnswer: -756*q**3 - 24*q**2 - 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - o - 4 = 0, -10*y - 2*o = -12*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8)*(-5 - -3). Suppose -c*i + 6*i = 21. Let x(z) = 6*z - 18. Is 8 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -154, -233?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58948 (base 14) in base 15?\nAnswer: 43e5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 + 240.6. Put 1\/9, i, -2 in decreasing order.\nAnswer: 1\/9, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143993.\nAnswer: 311, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:25 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 565884 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 4, 3, -22, 0, -4 in decreasing order.\nAnswer: 28, 4, 3, 0, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139067, 139085, 139103, 139121, 139139?\nAnswer: 139157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**5 + 214*g**4 - 2*g + 2?\nAnswer: -40*g**3 + 2568*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3281 and 2123.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839314 is divided by 122?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15485 + 16195 = 71*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqquqququqququ. Give prob of picking 1 q and 1 u.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2072, 4, 0.\nAnswer: -2072, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1214450 and -41\/850115.\nAnswer: 8501150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 1920655 rounded to the nearest 1000?\nAnswer: 1921000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6 and -47\/79.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aag when three letters picked without replacement from gupuacpuacacuc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 5)*(2*s**2 - 4*s + 4*s) - 5 + 3*s - 20*s**2 + 13*s**2 + 42*s**2 to the form t*s**2 + m + l*s and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = x + o, -11 = -3*x + 2*o. What is the first derivative of -10*l**3 - 2 + 15*l**3 - 20 + 25*l**x wrt l?\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.93 + 2.031. Let a = 6.3 + -1.3. Let g = a + z. Round g to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.92 + -0.08. Let s = 4.000004 + y. Round s to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138256?\nAnswer: 2, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 3675.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.44485 + -0.45485. Let h = -12.7 + 1.7. Which is the third smallest value? (a) -5 (b) h (c) m (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 2*n**2 - n - 21. Let d(w) = w**3 - w**2 - 1. Let a(j) = 3*d(j) - y(j). What is the smallest common multiple of 6 and a(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(175) + sqrt(175) + -4 - (sqrt(175)*2 - sqrt(175))*3 - -3*((1*sqrt(175) - sqrt(175)) + -1 - (sqrt(175) + -2 + -2*sqrt(175))))*4)**2.\nAnswer: -640*sqrt(7) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 d when four letters picked without replacement from {g: 3, d: 3, f: 9, z: 1, j: 2}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*d**3 - 170*d**3 + 21*d**3 - 5*d**3.\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1890 + 1903. Calculate the remainder when 114 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Suppose 4*r + 0*r + 2*i = 14, -a*r = -2*i - 22. Suppose -r = -3*x + 3. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8981?\nAnswer: 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w - 7. Let o = w + 25. Solve 2*l + 5*a = -o, 0 = 5*l + 6*a - a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 369, 1133, 2313, 3915, 5945, 8409, 11313?\nAnswer: 14663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -14*k + 223. Calculate y(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3574*u + 559. Is d(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyg. What is prob of sequence yg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 36*c + 61. Let z be u(-6). Let g = z + 159. Let i(b) = -3*b. Let h be i(-1). Solve 5*t - 18 = -3*n + g, -2*n - 17 = -h*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 601\/49 or 13?\nAnswer: 601\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977124*j = -5*l - 977125*j - 230, -j + 46 = -l for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30712, 62674, 94636, 126598?\n\"Answer: 31962*t - 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 334*n**2. Let a(m) = -293*m**2. Calculate a(l(s)).\nAnswer: -32685908*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 5*j - j + 61*j.\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5 + 4)*-1)\/4. Which is the smallest value? (a) p (b) -0.1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 139, -139, -415, -689, -961?\n\"Answer: y**2 - 281*y + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.6316g to kilograms.\nAnswer: 0.2856316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1 - 7 - 3*b**2 - 5*b + 4*b**2. Let c be s(7). Suppose -c = 4*o - 74. Solve 5*d + o = 3*r + 47, -1 = -r - 2*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8803\/9 + -977. Find the common denominator of g and 17\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 48. What is the remainder when (-4)\/5 - (6 - (-10989)\/(-55)) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500672 is divided by 125161.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/673 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 - 316*y + 190. Calculate o(29).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 44734509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*x + k, 5*k = 4*x - 7*x - 1. Solve -d = 2*o + 4, o + 5*d = x*o + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 34*q + 11 - 11 + 9*q**2 - 7*q**2 + 20*q = 0.\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8914, -33154, -73554, -130114?\n\"Answer: -8080*u**2 - 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/15*27*197\/(4728\/320)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, w: 5, e: 7}. Give prob of picking 1 e and 2 w.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2. Let h(c) = 229718701*c. Determine h(f(y)).\nAnswer: -689156103*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from pmgpp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = -8*r + 4774. What is the highest common factor of r and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -141*z**2 - 2189*z - 1120. Calculate y(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -24193*p - 9701391. Calculate n(-401).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-10)*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let b(a) = a**3 - 2*a**2 + 2*a - 2. Let q be b(2). Let k(f) = 0*f**q - 4*f**2 + 4*f**2 + 2*f**2. Determine k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**3 - z**2 + 24*z - 54*z + 39*z + 2*z**3 as n*z**3 + r*z + y*z**2 + t and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 29*k**4 - 4*k**3 + 26*k**4 + 2*k + 5*k**3 to the form g + j*k**4 + q*k**3 + t*k**2 + f*k and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11102120212001 (base 3) in base 4?\nAnswer: -20332222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o + 47*o = -24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 10a0?\nAnswer: 10a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2552571 by 283619.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r + 4 = 0. Let x = 2 - r. Let i be 60\/63 - (-4)\/(-6). Which is the closest to 0.1? (a) i (b) 1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrr when four letters picked without replacement from {r: 3, f: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3974 times 4\nAnswer: -1.5896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*d**2*m**6 + d**2*m**2 + 17*m**6 - 135*m**2 wrt m.\nAnswer: -1560*d**2*m**3 + 2040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 825, 1444, 2063?\nAnswer: 2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 54. Sort -2, f, -4 in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -3*m**2\/2 - 3*m + 2. Suppose 50 = -5*l + 5*d, 6*l + 36 = 2*l + 3*d. What is the tens digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -32*o**2 - 63*o - 5. Determine j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 3*s**2 + 3*s - 5. Let y be u(4). Let x = 84 - y. Calculate the highest common divisor of 21 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 173 + -187. Let l be (-1 + (-2)\/i)\/((-3)\/(-2)). Is -13 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 768*n + 765.\nAnswer: 3*(n - 255)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 206*c**2 + 2151*c + 1178. Calculate y(-195).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 193 = 203. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 30*j - 17. Let s(l) = -10*l + 6. Let n(q) = -6*c(q) - 17*s(q). Let m(g) = -2*g**2. Give m(n(a)).\nAnswer: -200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/24*(-6)\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - -6)\/(15\/2). What is the third biggest value in 0.7, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682\/193 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5620 - 5619. Which is the closest to q? (a) -0.2 (b) -1\/7 (c) 3\/2 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, g: 9}. What is prob of picking 1 g and 1 s?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 68940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 31*b + 32. Let t(g) = 42*g - 1855. Let r be t(44). Determine o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 10*z**2 + 132*z + 1588. Let k be n(-11). Suppose w + 0*w + 13 = 0. Let a = w + k. Solve -b = a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730919.8um to centimeters.\nAnswer: 73.09198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101371?\nAnswer: 17, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**23*x)\/x*x\/(x\/x**(-1\/14)) assuming x is positive.\nAnswer: x**(321\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 11*q + 11. Let d(j) = -2*j - 2. Let n be (-12)\/(-4) + (2 - 2). Suppose -6*l - 19 = -n*a - l, 0 = 2*a + 2*l + 14. Give a*f(t) - 11*d(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-16)\/6 - (-2798)\/6. Let v = -450 + n. Solve 14*m - v*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 28. Suppose -248 = -j*g - 4*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.891243 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(-15)\/24*(-18)\/(-30). Let j(i) = -i**3 - i**2 - i + 2. Let m be j(-2). Let u = m - c. Solve 2*p - p = -h + 4, 5*p - u = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 25 = 45. Suppose -4*j = w - 78, r*j - 65 = 3*w + 21. Let v be (-2 + 116\/j)\/(1\/5). Solve 4*k = -7 + v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9863 and 115?\nAnswer: 1134245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szxzzxxyzywzxwzx. What is prob of sequence yys?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.681 + 55.681. Suppose -k + 3*k = 0. Put k, 6, 2, l in ascending order.\nAnswer: k, l, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 - -265?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 35. Let x be o(-10). Which is the second smallest value? (a) 2 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/183 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*t + 36 = t, 0 = -2*t + 6. Suppose 3*m - 47 - 40 = 0. Calculate the remainder when m is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 28 = -7*c + 3*c, 4*c + 8 = 0. Solve -3*i + 4*f + 9 = 0, -2*i + w*f + 2 = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {t: 2, n: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 275394 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 982\/(-24) + (-226 - -249) + 831\/(-36)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 37*o**3 + 3*o**2 + 1032*o + 1031. What is w(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 24. Let q be y(14). Let h be 0\/(4\/q*-1). Solve -4*u - 4*g + 2 = -22, h = 4*u + 3*g - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1695? (a) 2 (b) 3\/11 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/1121 or -1?\nAnswer: 8\/1121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:14 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1. Let m(i) = i. Let y(b) = -b - 5. Let c be y(-6). Let p(k) = c*w(k) + 2*m(k). Differentiate p(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -6.61, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/3)*s)**(-48)*(s\/s**(-1\/2))\/s**(-2\/19) assuming s is positive.\nAnswer: s**(-4195\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 20*p**2 - 36*p + 6. Let q be h(18). Calculate the remainder when 4 is divided by (8\/q)\/(19\/((-399)\/(-28))).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*q + 101*q - 2 + 1)*(0*q**3 - 6*q**3 + 0*q**3).\nAnswer: -222*q**4 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 15*g + 5. Is -5 + 10 + (g - -250) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-16)*c**16)**(14\/5) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21\/5 + -132\/35. Put 1, 0.5, n, -3 in ascending order.\nAnswer: -3, n, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/11, 6, -3\/5, -7\/4, -46?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 - 102*v + 328. Calculate h(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 1)*(i + i + 0*i) + 11*i + 1 - i - 9*i in the form c*i + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*l - 1000*l - 12 = 0, 9*d - 9*d - 5*l - 1 = -2*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*q - 484 + 485, -2*h - 3*h = -9*q + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.301835 milligrams to nanograms.\nAnswer: 7301835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4 + 8252*b**3 + 188690*b**2 - 196944*b = 0.\nAnswer: -4103, -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -2 - 5*s**2 + 5\/3*s**4 + 3\/5*s**5 - 1\/30*s**6 + 0*s**3 + 0*s. Factor v(u).\nAnswer: -4*u*(u - 10)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + -0.09. Let g = k - -0.1. Let f = -7.07 + g. Which is the closest to -0.1? (a) -2 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(243))**2 + sqrt(243) + 1 + 3 + -1.\nAnswer: 45*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -220886792.\nAnswer: 220886789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8033 divided by -8033.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7228.023 milliseconds?\nAnswer: 0.12046705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 - 11 - 3*d + 163 - 3*d + 12 to y + j*d and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 12208 = 4*w - 9231, 0 = 3*j - w - 12860. Let p = 1013 + j. What is p rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15378, 15178, 14910, 14574, 14170, 13698?\n\"Answer: -34*j**2 - 98*j + 15510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**8\/6720 - w**7\/504 + w**5\/120 + 7*w**4\/12 - w**3\/3 + 59*w. Let h(y) be the third derivative of g(y). Determine h(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s + 3 = 0, w + 4*s - 4 = 0. Let l(k) = -34*k + 2 + 33*k - 4 - 4. Is 2 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jffofffofffoffofoofo. Give prob of picking 2 o.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11315 - -10731?\nAnswer: 22046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {c: 7, n: 1, y: 3, h: 1}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 109 = 2*r - 2*m, -2*r - 86 = 4*m. Calculate the common denominator of 4\/(-14) - 4581\/504 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*r**3 - r + 2*r**2 - 7*r**2 - r**2 to the form i*r + c*r**3 + j*r**2 + t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001101 + -1001011110010?\nAnswer: -101010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (552 - 552 - 109*y)*(-5 + 1 + 2*y + 0) to v*y + j*y**2 + a and give j.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3565 by 3.\nAnswer: 3565\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 - 93 = 4*s. Sort -0.21, -1, s, -4 in decreasing order.\nAnswer: s, -0.21, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20951 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*6\/(-450)*9*30\/18?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13956 * 1.\nAnswer: 13956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in 0.3, 12, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23102*a**3*h**2 - 85*a**3*h + 16*a*h wrt h.\nAnswer: 46204*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*5.3442.\nAnswer: -1.60326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27229377 by -277.\nAnswer: -98301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 40.\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36317*y**3 + 8359.\nAnswer: 108951*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3270 and 3?\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = y - 2*n + 1, 26 = -3*y - 4*n. Let o = y + 4. Suppose -m = -4*p + 74, -5*p + o*p - 3*m = -48. What is the remainder when 51 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7262 - -43691\/6. Let h(v) = v**3 - 9*v**2 + 8*v - 6. Let n be h(6). What is the common denominator of 0 - (1 - (-129)\/n) and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (76\/(-61275))\/((-4)\/10). Let r = -7326737\/19 - -18902430137\/49020. Let f = r - j. Calculate the common denominator of -47\/8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*w + 3*w**4 + 79*w + 148 - 150 to l*w**4 + a*w + o*w**2 + s + f*w**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12*x = 8*x - 20616, -4*x = b - 10320. Suppose -31568 = -8*q - b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-35) - (581\/(-49) + -3). Solve x*r - 10 = 60 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 6*l + 2 = 0. Is 3 a factor of (4\/(-8) - -3)*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 1, r: 1, i: 2, y: 1, b: 1}. Give prob of picking 1 k, 1 r, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-20) + 30172\/16 + 2?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/52)\/(-33)*39\/(-21)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32.7 and -13622?\nAnswer: 13654.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 27 = -y + 7 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*h**4 - 2*h**3 - 78654*h + 185101?\nAnswer: -128*h**3 - 6*h**2 - 78654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1883244244 take away -0.259?\nAnswer: -1883244243.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 55*k**2 - 11*k + 234. Is j(-55) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111*y**2 - 3*y - 4793.\nAnswer: -222*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 186*i + 2197. Give r(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*w + 3*m - 80, 0 = -3*w - 2*m - 26. What is the units digit of ((-7)\/4)\/(3\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (33 + -12 + -35)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 1:34 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -274 + 11509\/42. Let v(t) be the second derivative of 0 - n*t**7 - 2*t - 1\/6*t**4 + 1\/6*t**3 + 0*t**5 + 0*t**2 + 1\/15*t**6. Factor v(z).\nAnswer: -z*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/130*(-105)\/(-63)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 281.72 + -281.32. Let q = -301\/765 + -1\/153. Which is the third smallest value? (a) q (b) -2\/3 (c) 0.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172254?\nAnswer: 2, 3, 19, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/13 and (5 - 156\/32)*-17 + -4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10815*r - 8. Let b(g) = 322124771*g + 238282. Determine 4*b(f) + 119141*i(f).\nAnswer: -10831*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -11. Which is smaller: b or 4\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 3 + 4*f**3 - 12*f**2 + 12*f - 2*f**3 - f**3. Let r be -25*(18\/5 - (0 - -4)). Let n be u(r). What is the greatest common divisor of 85 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 8*d**2 + 3*d - 13. Let n be y(-6). Suppose n = 5*c - t, 5*c - 20 - 33 = -2*t. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 2 - 10 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 60*x**2 + x + 3. Calculate m(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*q - 2. Suppose -5*w = -3*c - 19, -17 = -q*c - 2*w - 1. Let t = 889 + -884. Solve m = -3*r - 2 + 1, -c*r = -5*m - t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 2, -23, -46, -61, -62, -43?\n\"Answer: m**3 - 8*m**2 - 4*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1959 - 968. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36080 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3286676 is divided by 1095371?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -s + 41794, -422*s + 427*s + 25082 = 3*t. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3035 is divided by 620?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1619637940 to the nearest integer?\nAnswer: 40245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 968846 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 18*p - 27. Calculate b(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 18\/7.\nAnswer: -2*(j - 3)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/(o\/o**(-5\/4)))\/o))**7 assuming o is positive.\nAnswer: o**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - (-39 + (-2 - -59))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.7 (c) 1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((132\/15)\/11)\/(91\/(-65))*112\/(-10)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z - 12*z + 212*z**3 + 3*z - 216*z**3 to the form x + a*z + h*z**3 + u*z**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*p + 19222 - 4147. What is the remainder when p is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2439.812715 - 2452.81271441. Let n = -0.17 + -12.83. Let b = y - n. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 + 3 = -15*r. Let o be (-1 + 14\/18)\/(28\/r). What is the nearest to o in 0.4, -0.1, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/((-38745)\/(-180)))\/(4\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 4*n**2 + 2*n. Let m be g(0). Factor 3\/5*f**5 + m*f - 3\/5*f**3 - 3\/5*f**2 + 0 + 3\/5*f**4.\nAnswer: 3*f**2*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*o + 120 = -0*o, 256 = 4*h + 2*o. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-434340)\/(-456))\/381*10\/62*(-2)\/5\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6042 (base 7) to base 11.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/167 - -3871\/835. Let n = 26\/5 - f. Let y be 53\/(-60) + -6 + (-81)\/(-12). Sort -2\/11, n, y, -2.\nAnswer: -2, -2\/11, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/8)\/(-5)*(-4)\/22. Let f = 18 + -13. Which is the nearest to -1? (a) 0 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/((z\/(z*z\/(z\/z**27*z*z)))\/z*z*z))*z)))\/z*z\/z**(-16) assuming z is positive.\nAnswer: z**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/8 - 8*k**3\/3 - 221*k**2\/2 + 104*k. Let v(t) be the first derivative of g(t). Calculate v(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -24 (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3 + 8*v - 5*v - 5. Let b(i) = -2*i + 1. Let k(h) = -h**3 - 29*h**2 + 28*h - 55. Let c be k(-30). What is c*u(a) + 8*b(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*y + 2 = -6, 4*y = 4*z - 4. What is the closest to 2 in z, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 4*j + 3. Let r be f(-2). Suppose -2*z + r*z - 130 = 0. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2219*q**6 - 76*q**2 - q wrt q.\nAnswer: -266280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) 33\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0688051538 rounded to four dps?\nAnswer: 0.0688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2. Let t(a) = -a**2 + 11*a - 16. Let u(n) = 6*p(n) - t(n). Calculate u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -1513, -5190, -12357, -24178, -41817, -66438, -99205?\nAnswer: -141282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 - 6*t + 16. Let s be q(-7). Suppose -5 = -s*a + 8*a, 409 = 3*j - a. Let w = j - -19. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2654 + 3297. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = i - 3*i + 4, -2*i = 0. Calculate the remainder when 64 is divided by -4 + (104\/m)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-80) + (-427414)\/96110. Let l = 2\/4119 - v. Find the common denominator of -131\/24 and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 6167566?\nAnswer: 55508094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 3, w: 1, k: 9}. What is prob of picking 1 m and 1 k?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmtj when four letters picked without replacement from jnjjjjmttjnjtmn.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -26. Suppose 2*x - 5*r + 6*r - 31 = 0, 3*r + 94 = 5*x. What is the remainder when w is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/21 + 412*h\/3 + 962\/7.\nAnswer: -2*(h - 1443)*(h + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300 - -299.498. Let x = w + 0.102. Let g = 2 + 2. What is the biggest value in x, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, s: 1, u: 4, f: 2, o: 2, z: 1}. What is prob of picking 1 f and 2 u?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571003695.\nAnswer: 3, 5, 4229657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5683940 rounded to the nearest ten thousand?\nAnswer: 5680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 19. Suppose 3*g + 2*q + 2396 - 9809 = 0, g = k*q + 2488. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-770)\/(-40) + (-6)\/(-8). Solve 0 = 3*v, 4*x + v - 3*v + c = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 1817.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {d: 15, e: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -373596.3697 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10700794807 plus 3565?\nAnswer: -10700791242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 7:44 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 - -3 - (-7 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.08, -98, 4, 1.8, -31 in decreasing order.\nAnswer: 4, 1.8, 2\/9, 0.08, -31, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 7\/6*l**3 + 0*l**2 + 2*l + 0. Let h(c) = 3*c. Give h(g(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5 - 80. Suppose 3*y - 39 = -5*i, -2*y = 3*i - 2 - l. Suppose -5*w + 2*p + 17 = 0, 2*w - y = -3*p + p. Solve z + g = 4, 4*z - w*g + 1 = -10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 12 + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 + 1 - 4)\/((-6273)\/3239) and -5\/119?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020212012201202 (base 3) to base 14\nAnswer: 2565a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -2*v - 26, -3*v = 3. Suppose 5*m + 488 = 483, -3*m - 5 = -c. Solve -c*w + 2 = x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:34 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1385 + -3773?\nAnswer: -5158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4381 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -16.965938 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.817379 rounded to one decimal place?\nAnswer: -61.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -185, -444, -817, -1310, -1929, -2680?\nAnswer: -3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -39*f + 8*f + 16*f + 16*f. Let p(g) = 12*g**2. Determine w(p(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -52. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2772 and 15\/8?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 4. Suppose -h*q + 4 = -q. Let z(i) = -i + 4. Let c be z(0). Solve 2*x = a + 2 - q, -2*a = c*x + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/7 + 132827776*n\/7 + 1102701129819136\/7.\nAnswer: 4*(n + 16603472)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 91 (b) -1\/3 (c) 1 (d) 3 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Let o be 6 + (-4)\/4*1. Suppose -k*x = -o - 1. What is the smallest common multiple of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 1 - 26*g**4 + 0*g + 27*g**4)*(-5*g + 2*g + 0*g).\nAnswer: -3*g**5 + 3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 20 = 5*c. Suppose -3*o + 2*k = o - 12020, -c*k = -4*o + 12020. Let i = o + -17983\/6. What is the common denominator of i and -41\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(27\/((-5346)\/(-18)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24102222 (base 5) to base 13.\nAnswer: -7a194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 - 390 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 9*v + 1. What is d(13)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 8*n**2 + 108*n + 583. What is l(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/60*6 - (-67890)\/876?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + 1.95. Let n = -7.2 - m. Let c = -9 - n. What is the second biggest value in c, -5, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -11 + -3 + 17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -169 - -5?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 90 + 5*s**2 - 224 + 242.\nAnswer: 5*s**2 - 2*s - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46162.\nAnswer: 2, 23081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104355, -208704, -313053, -417402?\nAnswer: -521751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 27*h - 7. Let w be r(-7). Suppose 9*d - 3*d = w. Solve 0 - 2\/3*s**3 + d*s + 1\/3*s**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43620)\/(-330) - (216\/(-22) - 13\/((-273)\/210))?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*p**2 - 1087*p**2 + 556*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = -3*l, g + 9*l - 19 = 12*l. What is the closest to 0 in 0.33, g, 2, 3\/5?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2dd (base 14) to base 8.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by 4?\nAnswer: -107\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1351763*h**3 + 88430*h + 2?\nAnswer: 8110578*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i + 10 + 4 + 72*i - 19*i. Let v be k(3). Suppose z + v = 2*b - 4*z, 3*b + 5*z - 351 = 0. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181384 to the power of 1\/2, to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 63875286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppx when three letters picked without replacement from xppxe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*g = 351 - 303, 0 = -a - 4*g + 60 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 0*n + 0*n)*(-2*n + n - 4*n**2 + 2*n) as w*n**3 + y*n + l*n**2 + k and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = -7. Let d be m\/10*(-61 + 1). Suppose -2*a + 3*a - 24 = 0. What is the highest common factor of d and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44628 (base 9) to base 8.\nAnswer: -71750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1575, 1569, 1563, 1557, 1551?\n\"Answer: -6*q + 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhthctft. Give prob of sequence hhf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3155 + -3155.0001885. Round q to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28791.\nAnswer: 3, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(325)*3)**2 + 0 - (-1 + (-3 + 1*sqrt(13))**2*6)).\nAnswer: 36*sqrt(13) + 11569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -107 + 85 + (4 - 2 - 5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x + 16*x - 54. Let q be x\/36 - (-31)\/4. Let p be (-4)\/(-14) - ((-278)\/q + 2). Which is smaller: p or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a. Let m(b) = 21*b + 1. Let t(k) = -9*j(k) + 2*m(k). Let u be t(0). Solve -u*q + 2 = -4*r, -4*r + q + 13 = 2*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121121200 (base 3) in base 2?\nAnswer: -1100100100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*h - 1, -2*q + 4 - 2 = 2*h. Let x be (-2 + 7\/3)\/(2\/h). Solve -y = -4 - x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 272080 or 272078?\nAnswer: 272080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1753 is divided by 407.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -120947?\nAnswer: -120944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1815 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-189)\/(-12) - 3\/4. Let z = -3 + g. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-122)*83*(-17)\/(-5644)*2?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {b: 5, v: 1, s: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -1\/180*l**5 + 0*l**3 + 1\/360*l**6 - 38*l**2 + 0 + 1\/630*l**7 + 0*l - 1\/72*l**4. Let v(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 * -0.3\nAnswer: 60.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 5*t - 9. Let j be h(7). Let k(v) = -5*v**2 + 2*v**2 + j*v**2. Let p(o) = -5*o. Give p(k(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3186608 - -7276747. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 10*v + 16. Let k be h(-2). Solve -3*z - 12 = -k*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-12)*(-132)\/(-11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191.\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/336 and -37\/18144.\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 6*p - 6. Let u be z(-4). Suppose -2*x + 12 = u*x. Find the third derivative of 2*q**x - 4*q**2 + 4*q**2 + q**2 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-70)*1650\/(-55))\/((-2)\/(-7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*s - 84 + 396 = 0. Let x = -126 + 191. Suppose -x - 95 = -s*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.193 - 10?\nAnswer: -9.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4 - 96*j**3 - 588*j**2 - 1264*j - 768 = 0 for j.\nAnswer: -16, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24 - 4*1\/(-2). Suppose -j - 6 = -i. Let f be j\/8 - (-2)\/(-4). Solve f*k - k = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {o: 4, f: 2, p: 2, r: 2, w: 4, b: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:01 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - -32. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -26. Suppose 3*w + 274 = 4*j, 0 = -5*j - 5*w - 27 + 352. Let l = j + m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90305, 180585, 270865, 361145?\nAnswer: 451425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/n**(-1\/4)*n**(-5\/3)\/(n*n**(-7)))**5 assuming n is positive.\nAnswer: n**(235\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18 - -4) + 4)*2\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*j + 613 = -1057 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0*g**3 + 19\/20*g**5 + 18*g**2 + 0*g**4 + 0 + 25*g. What is the derivative of n(s) wrt s?\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = d + 6, 4*d = z + 1. Let r = 1296 + -1559.4. Let k = 264 + r. What is the third smallest value in d, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + j + 1334 = 0, 4*j + 1322 = -o - o. Let m = 1088 + o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*u + 1 - 10, 3*u - 15 = -3*q. Put q, 5, -4, 0 in decreasing order.\nAnswer: 5, q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 19\/2*j**2 - 1\/3*j**3 - 7*j + 1. What is the tens digit of m(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1595\/63 - 143\/7. Calculate the common denominator of -26\/103 and n.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/14 and 13\/49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30411024 + -3?\nAnswer: -30411032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 24*y - 66. Calculate p(-11).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 43)*6\/(-8). Suppose 2*i = p + 5. Calculate the remainder when (56\/(-6))\/((-1)\/6) is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342 greater than or equal to 1322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*n + 1 = 0, -3*n + 2 = 3*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -784698*w**2. Let r(a) = -a**2. Determine o(r(m)).\nAnswer: -784698*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1117 divided by 1.\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 5*y. Let z(q) be the first derivative of q**3 - 4*q**2 + 61. Determine -8*m(s) + 5*z(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5 + 738*j**4 - 56655*j**3 + 1257792*j**2 + 2688516*j + 1373328 = 0.\nAnswer: -1, 44, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4, 2*g - 20 = g + 5*u. Suppose 22*k = g*k - 9. Solve k*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 78. Let i(t) = -2*t**2 - 2*t - 1. Let b = -3 - -2. Let j(d) = -1. Determine b*i(o) + h*j(o).\nAnswer: 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) -0.021 (b) -3 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 62. Let k(w) = 25*w**2 + 15*w. Let s(n) = -26*n**2 - 15*n. Let v(f) = z*s(f) + 6*k(f). Find the second derivative of v(o) wrt o.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 + -69. Let i be 5*(-2 + 38\/10). Calculate the greatest common factor of t and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 26*z**3 + 24*z**3 + 10*z**3 - 48*z**3 - 3 + 2. Let y(p) = -p**2 - p - 1. Let m be y(-1). Determine b(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 457 = -3*q - 108, 3*q + 2*f = 314. Let m = q + -102. Let r = 0 - -6. Calculate the smallest common multiple of r and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 1. Let q(u) = -u + 1. Let n(y) = -6*y + 7. Let m(l) = n(l) - q(l). Determine -4*f(h) - m(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*d - 7. List the prime factors of 1\/(-20)*d - (-938)\/8.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -74224 - 1071?\nAnswer: -75305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13355*k**3 - 18*k**2 - 3700767*k.\nAnswer: 80130*k - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004120567 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*h - 4 - 16, -o + 24 = 3*h. Let c be 4 - (25 + -1)\/6. Solve -o = -c*q + 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/12 + 11*f**3\/6 - 12*f**2. Let w be a(-4). Solve -5*k + j = -2*j - w, 0 = -k + 5*j - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a**(2\/15)\/a*(a*a**(-1\/3))**(-22))**(5\/8))**(3\/4) assuming a is positive.\nAnswer: a**(-263\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {r: 2, o: 1, a: 2, u: 1, n: 1, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.34, -4, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2 + 31535*j = 0. What is j?\nAnswer: 0, 6307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 15*w**2 - 27*w - 7. What are the prime factors of k(12)?\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 64*p**2 + 217*p - 1368. Calculate g(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 24 = 2*f. Let v = f + -5. Solve 3*p = -3*c - 15, p = -0*c + 5*c + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.34 + 0.04. Let p = -513 - -513.0104. Let s = p - -0.1196. What is the second smallest value in s, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 66748 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w + 14928 = 96*w. Calculate the greatest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4320.49mm?\nAnswer: 4320490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16760637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 + 5 + 9 - (29 - 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:46 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 0.06, 1, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177260.300455 + 177307.3. Let y = 47 - r. Round y to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*u + 5529 = -87*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(20) - sqrt(80)\/sqrt(16)))\/(6*(sqrt(250) + sqrt(250) + sqrt(250)*2)).\nAnswer: -sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o - 5. Solve -2 = -k + o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*24\/(-4)*((-1260)\/1665)\/14\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v - 17*v - 12*v in the form s*v + y and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/((-104)\/10244*(-2)\/(-6)*3). What is the greatest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 30 = -4*a, 0 = d - a - 12 - 21. Let u = d + -81. Let h = -43 - u. Round h to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t - 3216. Let p(d) = -27*d + 27. Calculate i(p(n)).\nAnswer: 135*n - 3351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13879083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -825 divided by -2088?\nAnswer: 275\/696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3524589 + 3524589 + 8*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -241, -191, -131, -55, 43, 169, 329, 529?\n\"Answer: a**3 - a**2 + 46*a - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5883 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*t - 28 = 0, 3477 - 3503 = d + 5*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125450 is divided by 1280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -13. Suppose -b = 2*w - 14. Let z(g) = -g**3 + 5*g**2 - 3*g + 1. Calculate z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17060b (base 12) in base 3?\nAnswer: 202001122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2136, 3776, 4922, 5574?\n\"Answer: -247*b**2 + 2381*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 5*h + 12. Let s be x(-2). Solve 12*d = 3*c + 7*d + 14, 3*c = -d + s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ncaicciicxiciiiccgcx?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 11 - 2 + 2*j - 30*j**2 + 10.\nAnswer: -30*j**2 + 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*v = 19 - 13, 2*v = 2*m - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0482011714 and -0.2?\nAnswer: 0.00964023428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 235 - 330 - (-3 - -22) - -24?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4089942*n**4 - 3*n**3 + 3*n**2 + 145*n - 16986.\nAnswer: 98158608*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-18)*v*v\/(v**(-6)\/v) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(9 - 8 - 2*i - 3) in the form t + z*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -6, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trr when three letters picked without replacement from rrrrtrrrrrrrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and 13111706574447.\nAnswer: 13111706574446.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:56 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 18. Solve -4*p = 5*g - 32, 5*g - n*p + 7 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v - 81. Let s = -47 - -62. What is the smallest common multiple of s and o(-6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 44. Let s be x(-14). Suppose 3*h - m = -4*m, 5*m + 3 = -4*h. Suppose 5*d = -2*q + 10, h*d = -q + s + 2. Solve u = -4*u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -96*g + 42. Let c(q) = -q. Let l(r) = 3*r**2 - 15*r + 2. Let v be l(5). Let s(m) = v*c(m) - y(m). What is the first derivative of s(b) wrt b?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b + 85. Let l be n(-6). Solve 0 = -8*h + l - 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 3, -19, 0, 44722 in decreasing order.\nAnswer: 44722, 3, 0, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**2\/2 + 8*t - 7. Let y be (-1)\/((2\/(-18))\/(2\/(-3))). Calculate d(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 3323 - 3259 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 5)\/(2346\/68)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74853.51ns to milliseconds.\nAnswer: 0.07485351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 18 = -5*p - 4, -p = 3*c - 4. Suppose 0 = -2*m + 3*y + 9, -c*y = 2*m - 0*y + 9. Let k(z) = m*z + 8*z - z - 1 + z. Calculate k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 9:23 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-535036 - 1701*j + 535036)*(5*j**2 - 4*j**2 + 0*j**2) to the form b + h*j**3 + v*j + g*j**2 and give h.\nAnswer: -1701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 560479 to the power of 1\/2, to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -127, -0.11, 44\/9, -0.1, 2 in increasing order.\nAnswer: -127, -4, -0.11, -0.1, 2, 44\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55715532 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (66 + -1 - (16 - (16 - (-14 - -18))))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:41 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/12))\/(y**(-27)\/y) assuming y is positive.\nAnswer: y**(347\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 313248 and 251?\nAnswer: 313248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 31104\/88 + (-42)\/(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(3\/((-405)\/54))\/(3*2\/78)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 29*n. Is 5 a factor of q(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 43 = 3*q, -5*c - q + 231 = -2*q. Suppose c = 2*l - 4*a, 98 = 4*l - 4*a + 10. Calculate the greatest common divisor of 273 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z + 23. Let a be 0 - ((-313)\/3 - (-8)\/(-12)). Let v = -105 + a. Is 10 a factor of r(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 25*p**2 + 34*p - 32. Let g be m(26). Let h = 202 - g. What is the highest common factor of 494 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105707 is divided by 519?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3767718 to the nearest integer?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 - 3*m. Does 21 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9*6\/8. Let r be (4\/(-6))\/(36\/(-27)). What is the nearest to u in -2\/9, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4821*p**4 + 11411*p**3 + 14*p**2 + 2355484 wrt p.\nAnswer: -115704*p + 68466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2) - (-1 + 155\/30)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1122.976808 + -1121.016808322. Let u = 1.96 - t. What is u rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 104*a**3\/15 - 21*a**2 - 216*a\/5 + 650. Determine t so that l(t) = 0.\nAnswer: -3\/4, 36\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Factor 9*p - 7*p + p**y + 1 + 0*p**2.\nAnswer: (p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 392 = -31*r - 61*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -24*(-12)\/24 - 9. Let l(x) = 2*x. Let h(z) = -6*z. Let d(w) = -4*h(w) - 11*l(w). Calculate d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6249.\nAnswer: 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 19*p**2 + 44*p + 66. Let l(s) = 9*s**2 + 21*s + 32. Let x(q) = 9*l(q) - 4*v(q). What is the least common multiple of x(-2) and 86?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4945 = 5*u, -10*w + 7*w + 3953 = 4*u. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1293)\/(-36204))\/(((-2)\/6)\/((-8)\/(-6))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a**2 + 1185*a - 2405. Let r(n) = -11*n**2 - 1184*n + 2406. Let m(p) = 6*d(p) + 5*r(p). Suppose m(z) = 0. Calculate z.\nAnswer: -240, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -h, d + 1 = -0*d. Suppose -h*s + 257 = -223. Let g = 418 - s. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*u + 207. Let b = 32 + u. Calculate the least common multiple of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.2, 27.6 in descending order.\nAnswer: 27.6, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/449 and -79\/638286.\nAnswer: 286590414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314 - -0.1.\nAnswer: 314.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821 a factor of 217569625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hio when three letters picked without replacement from {i: 4, h: 1, c: 2, o: 6}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4725 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y. Let s be m(2). Let i(t) = t**3 + 11*t**2 + 5*t - 8. Let g be i(s). Suppose -o = -4*o + g. Calculate the remainder when o is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*t - 3*t - 1002, -981 = 4*b + 5*t. Let n(g) = 2*g**2 - 37*g + 36. Let q be n(16). Let d = q - b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-10)\/(-25) - (-2)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3483 = 31203*w - 31074*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326582024 by -163291012.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 4 + -1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/18 - 2\/4. Let n be 22\/(-6) + 2\/3. Sort n, p, 1 in increasing order.\nAnswer: n, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -423, -10, -256, 0.1, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -259407*d**3 + 1945*d**2 + 58*d?\nAnswer: -1556442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(1 + (-4*sqrt(17))**2).\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*w + 3550 = 358 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 72?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 14. Let s = -38 - -26. Let i = w + s. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8757 and -107\/17514.\nAnswer: 17514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/3 - 7\/12. Let y = 0.8 - 0.8. Suppose p = -5*j - 1, 8*j - 7*j + 4*p = 15. Which is the smallest value? (a) 3 (b) j (c) f (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -595, 3, -2 in decreasing order.\nAnswer: 3, -2, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 795352815*c**2 - 238285072*c wrt c?\nAnswer: 1590705630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = f - 275, -616 = -2*f + 180*m - 177*m. Calculate the least common multiple of f and 4.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**2)**(-44))**(-18))**(5\/2) assuming g is positive.\nAnswer: g**5940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 23*o**2 - 37*o - 96. Let u(h) = 148*h**2 - 240*h - 624. Let w(t) = -32*a(t) + 5*u(t). Factor w(i).\nAnswer: 4*(i - 6)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*h**2 + 2*h**3 + 1 + 446*h**2 - 21*h in the form y*h**2 + g + p*h**3 + w*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 77*f**3 + 64*f**3 + 68*f**3 - 212*f**3 - 3*f**2. Determine h(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 377 - -783. What is the greatest common factor of q and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**2 + 13*b**2 + 792*b**3 + 13*b**2 - 1582*b**3 + 798*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 1. Let b(m) = -m**2 - 17*m - 5. Let y be b(-16). Let k = y + -16. Calculate the remainder when 123 is divided by z(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a + 60. Let p be ((-25)\/a)\/(2\/8). Put 0.4, 1\/3, p in decreasing order.\nAnswer: p, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 1*(sqrt(117)*4 + sqrt(117)))*-2)\/((sqrt(180)\/sqrt(4))\/sqrt(5) + sqrt(9) - (-2*sqrt(1089) + sqrt(1089))).\nAnswer: -12*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, v: 1, g: 1, h: 2}. What is prob of sequence hg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -752.283.\nAnswer: -752.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18193 is divided by 2119.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*u**2*y**2 + 11626*u**2*y - 6*u**2 + 74*u*y**2 + u*y + 4193*y**2 + 7 wrt u.\nAnswer: 130*y**2 + 23252*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.80259 centuries to months.\nAnswer: 17763.108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**5 - 7395*b**4 - 2730575*b**3 + 2775015*b**2 + 13712200*b + 8214000 = 0.\nAnswer: -740, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -16*q - 337. Let d be p(-23). Solve 80 - 111 = d*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6300))\/(sqrt(9) - sqrt(90)\/(sqrt(10)*-2)) - ((sqrt(1008))**2 - sqrt(567)*1)*4.\nAnswer: -4032 + 148*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*s - 2*s + 4*s - 3*w, 3545*w = 4*s + 3542*w + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62756 or -62775?\nAnswer: -62775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9*v + 640 = 0. Let f be 10\/(-4)*v\/50. Solve 2*i - f = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0*g**2 + g**2 + 13*g**2. Let w(p) = -14*p - 10. Let k(f) = 40*f + 28. Let n(t) = 5*k(t) + 14*w(t). What is h(n(x))?\nAnswer: 224*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114266 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/2, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 5, -6, 379 in ascending order.\nAnswer: -6, 5, 127, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - k)*(2 + 2 - 2 + (-4 + 4 + 1)*(0 - 4 + 2) + 5 - 4 + 1 - 22 + 9 + 6).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, f: 4, k: 1, b: 2, o: 4}. Give prob of sequence kbfb.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 130, 605, 1622, 3373, 6050, 9845, 14950?\nAnswer: 21557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/1413 and -113\/1570?\nAnswer: 14130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 5}. Give prob of sequence oz.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5204610*b**5*g + 2*b**3*g + 31169*b*g + 58*b wrt b?\nAnswer: -104092200*b**3*g + 12*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*s + 4*x, -2*s + 5*x = -6*s + 63. Suppose 7*h + s = 52. Solve -2*z + z + 4*w = -24, -h*z + 4*w = -40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/4*(66\/(-12) - -6). Let l(m) be the second derivative of -2\/15*m**j - 1\/30*m**4 - 1\/5*m**2 + 0 - 4*m. Find i, given that l(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (-12 - 16 - -24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 46958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdwwxw. What is prob of picking 2 d and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*j - 6*q - 30, -q = 4. Suppose j*d = -24 + 34. Suppose d*u - a - 127 = 0, 34 = u + a - 37. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mii when three letters picked without replacement from {m: 1, i: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*v + 6. Let a(c) = 6*c**3 - 2*c**2 - c + 2. Let l be a(v). Solve 0 = -2*b + 2*f + 18, 3*f - l*f - 3 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 8*v**2 - 2*v + 47. Let g be f(-7). Let c(s) = 3*s. Let u be c(1). Suppose -4*l = -4*t - g, u*t + 10 = 4*l + t. Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 2.9.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60\/13 + 1406\/299. Let y be ((-36)\/24)\/(2\/(-4)). Suppose 3*u - y = -0. Is u at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -52*b - 360. Determine g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-8 + 12 + -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 + 3*c + 2. Let r = -9 + 19. Let w = -17 + r. Is z(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/((-6)\/30). Suppose -2*a - 674 = 4*r, 2*r + y = r. Let d = a + 648. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 2*p = -28 + 7, -9 = -3*g - 4*p. Find t such that -4*t**g - 45*t**5 - t**3 - 5*t**2 + 80*t**4 - 5*t**2 - 21*t**3 + t**3 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102924 and 114?\nAnswer: 1955556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - 2)*((-6)\/1 + 7). Solve -5*w - k = -7*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**3 + 5*v**2 + 9*v - 26. Let p(t) = t**3 - t**2 - t + 1. Give 5*p(x) + s(x).\nAnswer: -x**3 + 4*x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-134)\/(-26) + 778\/13. Calculate the greatest common divisor of 1500 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w + 2*w**3 - 29*w**3 + 11*w.\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15355851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 2, u: 2, i: 1, h: 1, c: 1}. What is prob of sequence hui?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25a76 (base 11) to base 15\nAnswer: -b070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 3. Let p be x(-3). Let c be 24*-18*p\/8. Let z be (-24)\/(-2)*12\/8. Calculate the highest common divisor of z and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0471 to three decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248106334?\nAnswer: 2, 7, 41, 432241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100879491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -856*f - 1564. Give w(-2).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*p + 35 - 15, -5*p + 2 = 2*t. Suppose 4 + p = 2*g. Suppose 5 = 5*j, -4*r + 31 + 132 = g*j. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29657497937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/97149 and -41\/7473?\nAnswer: 97149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 13*a**5\/60 + a**3\/6 + 3*a**2. Suppose 0 = -o - 3 + 2. What are the prime factors of x(o)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times -0.54?\nAnswer: 0.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 83051 (base 11) to base 8\nAnswer: 354531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 3 - c + 3819*c**2 - 1 - 3821*c**2 as q*c**2 + f*c + x*c**3 + t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 2, -28, 3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - -1a?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 + 19. Let x = -168.46 + c. What is x rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19420, -38942, -58464?\nAnswer: -77986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 + 71 + 859*q + 80 - 225 to the form y + l*q and give l.\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 36.3.\nAnswer: 36.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322 and 11040?\nAnswer: 77280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59164 is divided by 461?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**2\/7 + 78576*w\/7 + 771773472\/7 = 0.\nAnswer: -19644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 11 = -31. What is the third derivative of c*x**2 - 6*x**3 + x**3 - 3*x**2 wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8843461882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -471, -1135, -2077, -3303, -4819?\nAnswer: -6631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -10\/3, -1\/49, 3, 15.21?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/12 + t**4\/2 + t**3 - 6*t**2 + t. Let d(w) = -14*w**2 - 35*w - 17. Calculate -6*d(h) - 17*v(h).\nAnswer: -h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990*m + 991*m + r = 6, -m = -0*r - 3*r + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -13db909d?\nAnswer: 13db90a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 16*g + 7. Let s(f) = 15*f + 6. Give 7*s(b) - 6*w(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255513.\nAnswer: 3, 53, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*y = 10*y - 560 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266*v**3 + 121*v**2 + 2*v wrt v.\nAnswer: -1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 83*z + 3160. What is u(-36)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/7 - 43332*p**3 + 260004*p**2 - 2426736*p\/7 = 0. What is p?\nAnswer: -101114, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2 - 6. Suppose 5*j + u = 5, -c*j + 0*u - 17 = 5*u. Suppose -j*g = -5*z, 0*g = 4*g - 3*z. Sort 1, g, -5 in increasing order.\nAnswer: -5, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -11421103?\nAnswer: 11421101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79*2*4\/8.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14064255?\nAnswer: 3, 5, 37, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 7, q: 2}. Give prob of picking 2 d.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736 (base 12) to base 11.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(1\/2)\/i)\/i))**50)**13 assuming i is positive.\nAnswer: i**1625","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**2 + 4. Let b(y) = 3*y**2 + 3. Let o(t) = t**2 + 1. Let c(g) = b(g) - 4*o(g). Calculate 4*c(q) + n(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7837613, 7837616, 7837619, 7837622?\nAnswer: 7837625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(100)\/sqrt(5) - sqrt(80)*5)\/((sqrt(70) - (6*(sqrt(70) + -1*sqrt(70)) - sqrt(70)))\/(1*sqrt(567))))**2.\nAnswer: 3969\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 4) in base 3?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/(3*(-2)\/15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/16*-6*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -491 - -494. What is the nearest to 1\/2 in q, 4, 1, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 - 2*s**4 + 6*s**4 + (s**3 + 4*s**3 - 2*s**3)*(-3*s - s + 5*s) + 5*s**4 - 3*s**4 - s**4)*(7 + 3 - 5*s - 9).\nAnswer: -25*s**5 + 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*t - 2*v + 53, -25 = 5*v. Let w = 53 - 18. Is w\/t*-3*2 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 15.28?\nAnswer: -14.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*2*1\/(-4). Let j be o\/1 - 11*1. Let n = -3 - j. Calculate the greatest common divisor of n and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:59 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 9.431\nAnswer: -13.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(6\/(-264)). Let n be (-40)\/o - (-4)\/(-22). Is -3\/4 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 9:17 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -3972, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2. Let x(d) be the third derivative of d**5\/30 + 11*d**2. Calculate l(x(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 3*c**3 + c**4 + (3*c**3 + 2*c**3 - 4*c**3)*(2*c + c - 2*c) - c**4 + 30*c**2 - 28*c + 28*c.\nAnswer: c**4 + 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42820835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + a1a75?\nAnswer: a1a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 2, -11, -7176, 0, -3 in descending order.\nAnswer: 2, 1, 0, -3, -5, -11, -7176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 767621819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-8\/11)*t*t)\/t*t**(2\/43)*t*t**26*(t\/(t\/(((t*t\/t**(3\/2))\/t)\/t))*t)\/t assuming t is positive.\nAnswer: t**(25371\/946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, 71, 2, -29, 188.\nAnswer: -29, -4, 1, 2, 5, 71, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 117 = 4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -16. Let t = 208 + m. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 36*r + 25*r + 57*r**2 - 59*r. Let g(t) = 2*t**2. What is c(g(v))?\nAnswer: 228*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 0 - 4*11\/220*15\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4638 - 518. List the prime factors of p.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:25 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -20. Let l be 2\/3 - (-56)\/(-63). Which is the fourth biggest value? (a) l (b) 0.6 (c) 0.2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179 + -131. What is the highest common factor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(136\/128) + -8. Let y(p) = -p**3 - 14*p**2 - 14*p - 11. Let d be y(-13). Solve -4 = d*f - c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 82.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-234)*8\/136*3*(-15)\/40\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(20*(-9)\/72*(-90)\/(-225)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -636705?\nAnswer: -1\/212235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/42 - l**3\/7 - 12*l. Factor g(i).\nAnswer: 2*i*(i - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75906331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/10*(-1 - -11). Let y be (-16)\/l*(-2)\/(-4). What is the nearest to 1\/2 in -0.5, y, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h - 69. What is the smallest common multiple of 42 and u(9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2109 = -340*z + 4829 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 19*w - 32. Let v be l(2). Suppose -3*b - 5*a = v, -a + 36 - 38 = b. Factor -1\/6*d**b + 2*d - 6.\nAnswer: -(d - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/413 in -5, 2\/9, -0.4, 1557?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 5*s - 302. Let v be n(-11). Put -4, 3, 0, v in increasing order.\nAnswer: v, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8822 is divided by 72.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -17. What is the third derivative of 2*g**6 + 16*g**4 - 16*g**4 + 2*g**w wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -18. Let q be 57\/(-12) + 0 + 4\/m. Let k(i) = 11*i + 13. Let s(h) = 5*h + 6. Let b(u) = 6*k(u) - 13*s(u). What is b(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8968*x = -9203*x + 1490022 for x.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n**3 - n**3 + (5 + 13 + 2)*(8*n**3 - 2*n**3 - 8*n**3).\nAnswer: -41*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a day in hours?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, e: 6, i: 7, m: 2}. Give prob of sequence km.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16172715 by 1.\nAnswer: 16172715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -172464207188.\nAnswer: -172464207187.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**3 + 5*j**2 - 5*j**3 - 5*j**2 - 3*j wrt j.\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 9*o**7\/70 - 16*o**4\/3 - 109*o**3\/3 - 77. Let s(j) be the third derivative of k(j). Differentiate s(i) with respect to i.\nAnswer: 324*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 4*c**4 + 2*c**4 + (-1 + 1 + c)*(14*c**2 + 4*c**3 - 14*c**2))*(-1 + 2 - 2).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/10 + q**4\/8 - q**3\/2 + 186*q**2. Let k(m) = -m + 1. Calculate 3*k(p) + u(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73258016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11844963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175080 and 640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43969581.9 rounded to the nearest one million?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1776 or 1774?\nAnswer: 1774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 5 + 6)*(5*y - 2 + 2)*(970*y**3 - 970*y**3 + 13*y**4).\nAnswer: -845*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7274488+-2.8\nAnswer: 7274485.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h + o - 16, h - 8 = -o. What is the third derivative of -33*d**2 - d**h + 5*d**4 + 2*d**3 - 10*d**4 - 6*d**2 wrt d?\nAnswer: -144*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 374327 - 130960. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153198930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(533\/(-615))*(-5)\/(-2)*(-4)\/(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.855 in 0.014, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/13 and -46\/143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 357 = 54*u, -117 - 82 - 122 = 2*s - 243 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5117 and 1207?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 7 - 1. Solve -m*v + 0 = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85211 - (-4 + 10 + -22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from nnjnnnjjnjnqqjn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/24 + 17*i**3\/6 - i**2 - i. Let g(a) be the first derivative of o(a). List the prime factors of g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r + 369 = -66*r. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -14. Suppose -4*w - 19 = -t - 37, 3*t + u = 5*w. Put w, -2, -1\/2, 2\/11 in ascending order.\nAnswer: -2, -1\/2, 2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, -3, -218 in increasing order.\nAnswer: -218, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + 1001\/(-22))*-10 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 200096.19 months?\nAnswer: 1667.46825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 16*t**2 + 15*t + 1. Let o be v(15). Suppose 3*n - o = 77. Let q = -19 + n. What is the greatest common divisor of q and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2. Let t(k) = 8*k**2 + 7*k - 7. Let i be (-28)\/(-6) - 5\/(-15). Let x(b) = 5*b**2 + 5*b - 5. Let f(j) = i*t(j) - 7*x(j). Determine f(g(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.25 - 0.35. What is the closest to a in -0.4, 4\/3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 2*q**2 - q + 6. Let j = -140 + 142. Let n be w(j). Solve 49 = -5*c + 4*v + 8, 0 = 5*v - n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -665 divided by -133\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892160113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -31*k + 17*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4104667 centimeters in meters?\nAnswer: 0.004104667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 37559*n\/3 - 375490\/3.\nAnswer: -(n - 37549)*(n - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/16 and 43\/984?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*x - 2272 + 12868 = 0, -2*s - 4*x + 5286 = 0. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20*m - 1. Let c be x(2). Let n be (3\/9)\/(1\/c). What is the units digit of 41\/n - 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*v = 20, 2 = -0*v + 2*v. Suppose 3*h = j*b - 5 - 21, -6 = -4*b - 5*h. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -58*l**2 - 288580*l + 2312352 = 0. Calculate l.\nAnswer: -144522\/29, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -3.067.\nAnswer: -6.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g + 46 - 17*g + 9*g.\nAnswer: -29*g + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 806 + -806. Let i = -24 + 49. Solve -2*n + 6*n - m - i = r, -4*m = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5218\/197 and 27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5 - 7. Suppose -320 = -6*f + 3*f + 5*i, 188 = p*f + 3*i. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -87 + 10 - b - 29 - 71 - 63*b. What is the tens digit of d(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44\/(-33) - 2\/(-6). What is the nearest to v in -3, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668*q + 1222 = 1642*q for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 1. Let r(p) = -p - 7. Let s be r(-5). Let b be l(s). Is (-23)\/b*(1 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 229*n**4\/6 + 73*n**3\/3 + 5*n**2\/2 - 704*n + 1. Find the second derivative of b(h) wrt h.\nAnswer: 916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 2, r: 1, y: 1, z: 1, x: 4}. Give prob of picking 1 o and 2 x.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-52 - -1) - (476 + -456)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/13))\/(v*v**(-25))*(v\/v**(2\/33))**(-2\/9) assuming v is positive.\nAnswer: v**(94828\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/3, 2\/5, 0.1, 1, 2.473?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43682 = -20*y + 35178. Is 39 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2837.00026 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2088 = -22*z. Let u be 12*1\/(-12)*-3. Suppose -2*x = 2*p - 60, -u*p + 7*p - 62 = -2*x. Calculate the highest common divisor of x and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 4. Which is the nearest to 0.1? (a) 1 (b) s (c) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t**3 - 3*t**2 + 0*t + 0*t**4 + 0 + 3\/20*t**5. Let s(h) = -h**2. Calculate g(s(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 123, 282, 515, 828, 1227, 1718?\n\"Answer: r**3 + 28*r**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/4 + 25*i**3\/3 + 49*i**2\/2 + 3*i - 8. Is u(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -1 - 6) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88934 is divided by 87788?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwo when three letters picked without replacement from tntoww?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*((-3*i + 5*i - 4*i)*(-6*i**2 + 12*i**2 + 5*i**2) + i**3 - 5*i**3 + 3*i**3) - i**3 + 0*i**3 + 4*i**3 as u + j*i**3 + g*i + t*i**2 and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 474 and 1784676.\nAnswer: 140989404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**8\/240 - w**6\/180 - 5*w**3\/3 + 2. Let u(z) be the third derivative of q(z). Find the third derivative of u(x) wrt x.\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from sspspsss.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 100110111?\nAnswer: 100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-57)\/(-15)))\/((-4)\/20).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**4 - 6*z**4 - z**2 - 2*z + 5*z as l*z**4 + m*z + i*z**2 + d*z**3 + g and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -29393.17 to the nearest ten.\nAnswer: -29390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1891.\nAnswer: -2\/1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 616\/(-40)) + (-3)\/(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -821 + 823. Suppose -2*c = -20 + 4. Differentiate 27 - 5*o**2 - c*o**n + 2 wrt o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 12*x**2 - 17*x - 21. Let i be z(-12). Are 181 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a**3 - 118*a**3 + 31*a**3 + 30*a**3 + 12*a + 28*a**3.\nAnswer: -3*a**3 + 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 5. Let s be w(5). Suppose s - 35 = -q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49456?\nAnswer: 2, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*h = 2 + 9, -2*w - 2*h - 12 = 0. Let v be 995 - (-60)\/6*(-2)\/w. Suppose -v = -8*r - r. List the prime factors of r.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-23 - -30 - 22).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 - 3. Let x(m) = 12*m**3 + 10. Give 10*u(s) + 3*x(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:44 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -15. What is the third biggest value in 0.3, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4\/(-18) + ((-232)\/87 - -17).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 3*n**2 + 17. Calculate the remainder when x(-5) is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 bigger than -184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 1)*(17 - 2372\/140).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 14*c - 7. Let u(f) = f**3 + f**2 - 15*f + 8. Let h(z) = 6*s(z) + 5*u(z). List the prime factors of h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - 27\/(-6). Let s be (4 - 8\/t)\/(-4). Which is the biggest value? (a) 1 (b) 0.4 (c) s (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 8. What is n(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-28) - 14345\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142097.0200098 + -142097.8. Let k = 52 + -52.78. Let o = k - p. Round o to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**4\/4 + l**3\/3 - l**2\/2 + l + 869. Calculate f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 19, 4.\nAnswer: 0.06, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-30))\/(6\/(-20))*1. Solve 1 = -3*w - g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1813 + 1816. Let y(g) be the first derivative of -g + 1\/3*g**v + 4*g**2 + 2. Calculate y(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 25. Let n = 62 - d. Suppose 0 = 2*j - 2*o + 82, 0 = -j + 5*o - o - n. What is j rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18619429*t**6 - 35*t**2 - 93575 wrt t.\nAnswer: -2234331480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 417 in 0.6, -4, -4\/5, 0.2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(12)*-1) + 4 - (sqrt(165)\/(-1*sqrt(5)) - sqrt(33))\/sqrt(11))**2.\nAnswer: 48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1\/2))\/((u\/(u\/((u*u**(3\/5)\/u)\/u)))\/u))\/(u**1\/u)**(-26))\/(u**(6\/5)*u**(-4))**(2\/53) assuming u is positive.\nAnswer: u**(1063\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i*(i*i**(4\/3))\/i*i*i)\/i))\/(i\/(i**(-9)\/i)))**8 assuming i is positive.\nAnswer: i**(-344\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*i + 99, 5*i - 36 = -y + 7. Calculate the remainder when 12 is divided by (-6)\/4*y\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/17784 and 81\/104.\nAnswer: 17784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 391*n**4*w**3 + 4*n**3*w**3 + 12*n**2*w - 66*n*w**3 wrt n?\nAnswer: 9384*n*w**3 + 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112577.\nAnswer: 112577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**8\/144 - 13*o**7\/315 - 13*o**6\/360 + 17*o**5\/90 + 5*o**4\/18 - 4*o**3\/9 - 2*o**2 + 2*o. Suppose n(k) = 0. What is k?\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66413 is divided by 1707.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + f**2 - 2*f. What is d(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 0 + 2\/13*g - 2\/13*g**3 + 0*g**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -21. Suppose -h = 4*h + c. Let k be 6\/h*15\/2. Let o(a) = -a - 6. What is o(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -8358 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 2. Let k be (r - 8) + 39*1. Let w = -4 + k. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66214.19 minutes to seconds.\nAnswer: 3972851.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 6:27 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514825 to the power of 1\/2, to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10946*c**3*n + c*n + 17308325*n + 2 wrt c?\nAnswer: -32838*c**2*n + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/21394 and 9\/9842.\nAnswer: 5541046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*t + 616, 4*t - 23 = -3. Let r = o - -155. Let h(d) = d + 4. Give h(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76734877 to four decimal places.\nAnswer: 0.7673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1794556735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/4*-1*-4. Let i = -1418 - -1426. Solve -2*v - i = 4*b - 22, -5*v - b - z = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.086430194\nAnswer: -0.43215097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2*d - 18, 0 = 34*b - 38*b - 2*d + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emdlmem. What is prob of picking 2 e, 1 l, and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1309.3 + 1194.68. Let q = m + 115. Which is the second biggest value? (a) q (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16202273 smaller than -16202270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36 times -7.33\nAnswer: -263.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1098 + -1103. Sort c, -2, 48.\nAnswer: c, -2, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/11 - 16*f**3\/11 - 10*f**2\/11 + 100*f\/11.\nAnswer: -2*f*(f - 2)*(f + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)*-1 - sqrt(112)) + -4 - (sqrt(112) + sqrt(112) + -1 + sqrt(112) + sqrt(112) + 3)) + -5*(6*(1 + sqrt(112)) - 6*-1*sqrt(112)))**2.\nAnswer: 19008*sqrt(7) + 489168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 15 = -2*q + 5*s, -4*q - 3*s + 7 = 0. Let p = q + 4. Suppose d = 2*d - 4*v + 21, 0 = -d + 2*v - 13. Sort d, p, -2.\nAnswer: d, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*x - 6 = -5*s, -s - x = 7. Suppose 6*v - 3*v = -12. Sort s, -5, v.\nAnswer: -5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-196)\/(-2) + (-8)\/4. Suppose w - p = -3*w. What is the greatest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*t + 3205049 = 3205231, -3*l = 2*t - 90 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11818598 to the power of 1\/2, to the nearest integer?\nAnswer: 3438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115544257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225\/116 + 20\/29. Let t = -4 + 3.7. Which is the nearest to -0.2? (a) t (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 10728\nAnswer: 42912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -119 - d?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*sqrt(637) + sqrt(637))**2.\nAnswer: -280*sqrt(13) + 10217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2152620885\/296 + 7272376. Let v = t + -10\/37. What is the common denominator of v and 51\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313 - -1310131301?\nAnswer: 1310123322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 14. Let y be x(-5). Let n = -27 + 29. Let f(r) = -r**2 - 2*r + 5. Let a(g) = 5*g**2 + 9*g - 21. Give n*a(m) + y*f(m).\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 246577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*r**6 - 12*r**2 - 3 wrt r?\nAnswer: 2520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22626 divided by 6\nAnswer: 3771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3061953, -6123915, -9185877, -12247839, -15309801, -18371763?\nAnswer: -21433725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emmsteesmesstt. Give prob of sequence mms.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/(8\/(-48))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -44. Suppose 2*v + 2*m = -l*m - 4, -m - 6 = -2*v. Solve 2*g - g - 4*q - 7 = 0, v*g + 4*q = -22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let o(d) = 24*d + 32. Let h(v) = -5*n(v) - o(v). List the prime factors of h(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1096 - 734. Let k(h) = -h**3 + 2*h**2 + 4*h. Let f be k(3). Suppose -i = -5*y - f*i + m, 0 = y + i - 70. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -39*r + 3120. Let g be y(80). Solve 52*l + 98 + 110 = g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-18)\/(-10) + (-44)\/(-220). Solve 0 = -j + 2*s - 1 - 2, j = -a*s + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694 >= 1693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 935.7087 months?\nAnswer: 7.7975725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8258, 8583, 8908, 9233, 9558?\nAnswer: 9883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 48, 175 in increasing order.\nAnswer: -7, 4, 48, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 8*b + 1. Let a be z(3). What is the units digit of ((-29)\/a)\/(1\/(-2)*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(891) - (sqrt(891) + -2 + (sqrt(891) - (1 + sqrt(891) + sqrt(891)))) - (-2 + sqrt(891) + sqrt(891) + 0)) + 3).\nAnswer: -10 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.9 - 7. Let w = 2.7 + -4. Let n = w + 0.3. Which is the closest to -1? (a) q (b) 2\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 493*x**3 + 1925*x**2 wrt x.\nAnswer: 2958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 13. Solve -5*u + 3 = -z*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.96 - -39. Let w = d - 7. Let k = w + -0.03999886. What is k rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 704406462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88)*-6 - (sqrt(88)*-1*4 - sqrt(88)))\/((-5*sqrt(704)*-2 - sqrt(704))*-4))**2.\nAnswer: 49\/10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*t - 25, -t + 15 = -4*t. Suppose 6 = -2*v - z, -5*x = v + 13. Let a = x - -6. Solve -5 = -a*b + 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/(-50) - (-4)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2 in descending order.\nAnswer: 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 6*y**2 + 4. Let j(u) = u**3 + 10*u**2 - 10*u + 10. Let f be j(-11). Let o be f\/6*3*12. Let d be n(o). Solve t - d = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 13607 - 13397 = 5*x, 12*c - 182 = -5*x for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w**2. Let i(s) be the third derivative of 0*s**3 + 0 + 6*s**2 + 0*s + 1\/60*s**5 + 0*s**4. Determine g(i(p)).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1473*b + 635*b - 2029*b - 1343*b.\nAnswer: -4210*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7928478 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, r: 2, q: 1, l: 3, c: 5}. What is prob of picking 1 c and 1 l?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26773.15l in millilitres?\nAnswer: 26773150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 6. Let i be m(-2). Suppose 4*u + 2*c + 64 = 0, -3*u = -0*u - 5*c + 48. Let j = u - -11. Sort j, i, -3.\nAnswer: j, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 33*n = -34*n - 10, 2*n = -2*t + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 21*t + 71. Let r be u(17). Let z(i) be the first derivative of 44 + 0*i + 11*i**2 - 22\/3*i**r. What is the second derivative of z(o) wrt o?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7\/40 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*o*s**3 - 147*o*s**2 - o*s + 577357*o wrt s.\nAnswer: 930*o*s - 294*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4099 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3122960 divided by 3790.\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -718 (b) -3 (c) 0.3 (d) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7037 (b) -4\/5 (c) -1\/4 (d) 18\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5070000 and 480?\nAnswer: 10140000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1254 (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.5 + -36.9. Which is the second smallest value? (a) 0.4 (b) o (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrrtsll. Give prob of picking 2 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -8.05. Let m = -77.97 + 75.97. What is the nearest to m in -2, k, 4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 2*k**2 - 2*k + 0*k**2 - 4. Let t be c(4). Suppose 0 = 5*r + t*x - 190, r - 5*x + 0*x - 9 = 0. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1609902, -3219814, -4829726, -6439638?\n\"Answer: -1609912*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, i: 1}. What is prob of sequence mmmm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*p + 7 + 8 = 0, -2*y - 5*p = -20. Let o be (-4)\/12 + (-7)\/(-3). Let s(g) = -19*g**2 + 37*g**o + 5*g - 19*g**2. Determine s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.6378499 from -2448.\nAnswer: -2455.6378499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*g + 68*g - 24*g)*(-2*g**2 + 3*g**2 + g**2) to s*g + h + y*g**3 + q*g**2 and give y.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:10 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -3*s, -2*y + 2*s + 2 = -6. Solve -4*x + m = y*m + 22, -24 = 4*x + 4*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 1\/15 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478379, -956802, -1435253, -1913726, -2392215, -2870714, -3349217?\nAnswer: -3827718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155.4 + -205. Let z = p - -50. Let d = z - 3.4. What is the closest to 1 in 2, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) - (-1 + sqrt(5) + 0))*-6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 533 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 26 - 10. Suppose 0 = q*z - 146 + 78. What is the highest common divisor of 153 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 120 - -5152?\nAnswer: 5272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89645*j + 4*b + 28 = 89649*j, -15*b = 75 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16453.3 - -16453. What is the third biggest value in -22.404, -3, 3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 349*h + 612. What is the thousands digit of g(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034393.65 minus 2?\nAnswer: -1034395.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2) + sqrt(2)*1)*2 + 1)**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308655.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1922*k - 9. Is w(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13635 and 10800?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/12 - 7*f**3\/6 + 3*f**2\/2 + f. Let i be j(6). Let w = i - -10. Solve w + 1 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjlh when four letters picked without replacement from jhvfjffhjfljffffj.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {q: 3, a: 3, c: 1, y: 3, p: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314371 is divided by 2276?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1 - 2 - 3*n**3 + 5*n**3 - 4*n**2. Let p be (2 + 1)*(-1)\/(-1). Let z be a(p). What is the highest common factor of z and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (1 - 57) + 65 + -62\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00238886 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23)\/(253\/(-440))*(-4 - -3). Is -44 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/(-10)*25364\/595. Let w = s + 9712\/91. Factor w*x**2 + 0 + 4\/13*x.\nAnswer: 2*x*(x + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44596451 - -44596572.449988. Let t = f + -122.15. Let s = t + 0.7. What is s rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/4 - 2103*r - 92653\/4 = 0. What is r?\nAnswer: -11, 8423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, x: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220121 is divided by 1399?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181157, 181166, 181179, 181196, 181217?\nAnswer: 181242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3744458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9 - 28*o**2 + 3*o + o + 71*o**3 - 73*o**3 - 3*o. Let p be n(-19). What is p rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -16.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4 - 5 = 3*j, 0 = -5*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 27162 - 83190 = 0. Suppose -6905 - i = -13*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (4 - 12\/8)\/((-7)\/(-14)). Put 37, l, 13 in decreasing order.\nAnswer: 37, 13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 230 (b) -1 (c) -2\/63 (d) -13 (e) -4 (f) 2 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - -115?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 34*l**2 + 41*l + 85. Suppose 0 = -3*w - k + 105, 3*k = 2*w + 14 - 84. What is the tens digit of z(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614195 is divided by 40859?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 237735601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.99719305 - -0.1513.\nAnswer: 28.14849305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 + 6. Let v = -29 + 29.5. Which is the second biggest value? (a) g (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 + 355. List the prime factors of p.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**4 - 32*c**3 - 73*c**2 - 34*c. Let s(n) = -3*n**4 - 63*n**3 - 147*n**2 - 67*n. Let o(y) = 5*g(y) - 2*s(y). Factor o(i).\nAnswer: i*(i - 36)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in -0.5, 3\/8, 8, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -1.29\nAnswer: 9.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0704 - -28.2296. Let f = -28 + a. What is the third smallest value in 1\/2, f, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1103 - 6*v - 549 + 2*v - 554.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b0175 (base 14) to base 6.\nAnswer: -131101243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 11244 = 174*d + 18*d + 3953 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2841*r**5 - 1151*r**2 + 606*r - 2381.\nAnswer: 56820*r**3 - 2302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708733516 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0.2. Let a = -119 + 30. Let o = a + 86. What is the third biggest value in -1, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 - 93*k + 43. Is z(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52358, 52325, 52272, 52199, 52106, 51993?\nAnswer: 51860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -1\/7 (c) 17 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68027 is divided by 138?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*u**2 + 567*u**2 - 277*u**2 - u.\nAnswer: -19*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7387001 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4563*b + 1469 - 261 = -4412*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164810312 by -41202578.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (358\/(-12) + -5)*-2 + -1. What is the closest to 2\/7 in -3\/5, 5, -1\/4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2317*o**3*s**2 - 18*o**3*s - 74*o - 357*s**2 wrt o?\nAnswer: -13902*o*s**2 - 108*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 10 = t, 5*a - 36691*t + 36689*t - 17 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*r**3 + 366*r - 366*r)*(r**2 + 2*r**2 + 0*r**2 + 10 - 10 - 10*r**2 + (0*r + 3*r - 5*r)*(-2*r - 3 + 3) - 2 + r**2 + 2).\nAnswer: -168*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 131 = -33. What is the greatest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441795 is divided by 147258.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4924*v - 1442 = -4718*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 7*n - 2*n + 0*n + 10 + 6*n**2. List the prime factors of k(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 142*a**2 - 143*a + 257. Determine x(141).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2 - 4*n - 18 - 57*n**2 - 105*n**2.\nAnswer: -162*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**5\/20 + y**2 + 16*y. Determine v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3818.9.\nAnswer: 763.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Let k = 11491 - 11486. Solve -v + 12 = c*p, -4*v + k = p - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10809\/62167 - 25\/581. Let x = 2313\/2140 - b. Find the common denominator of x and -1\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.94324 millennia?\nAnswer: 4943.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 + 178*z**2 - 6160*z + 45864 = 0.\nAnswer: -117, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.087, 1\/5, -24, -0.6, -541?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-6)\/9 - 762\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 0*h - 3*h)*(-189*h - 1162 + 1162) - 6*h**2 + 10*h**2 + 0*h**2 to d*h**2 + l*h + i and give d.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + a + 2*a**3 + 0*a**3 - 4*a**3 to the form p*a**3 + l*a + x*a**2 + g and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 10 = -6*z, 2*l - 87 = -5*z. Suppose 0 = -0*q - q + 33. Suppose -6*n + 3*n + q = 0. Calculate the remainder when l is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -942 - -2876\/3. Let a = t + -656\/39. What is the third biggest value in -1, 5, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 264 + 19. What is the remainder when z is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Suppose x*u = -u. Do u and -10\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/((-41904)\/81))\/(1\/2)*3\/9?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o\/(o*o**(1\/33)\/o))\/o)))**27*o**(-13)\/o*o\/o**5 assuming o is positive.\nAnswer: o**(-207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*s - 60*s - 21*s - 61*s - 22*s.\nAnswer: -51*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -296*k**2*u + k**2 - 1052*k*u**2 + 269*k - 920 wrt u?\nAnswer: -296*k**2 - 2104*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/9*(6\/(-48))\/1*30.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 2\/13, -0.9, -2\/11 in decreasing order.\nAnswer: 2\/13, 2\/19, -2\/11, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4974 or 34824\/7?\nAnswer: 34824\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(4*1*sqrt(121))\/(-2*sqrt(1100)).\nAnswer: -6*sqrt(11)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjjbggjbgbjgjbgbjjb. What is prob of sequence jjg?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ljljjjj?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*h = 0, -r - 3*h + 3 + 1 = 0. Suppose 10 = -10*a + 15*a. Put a, r, -7 in descending order.\nAnswer: a, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2\/3 + 598*g - 1796\/3 = 0.\nAnswer: -898, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(2\/(-2) + -1). Let r = 7 - l. Let u = 15 - r. What is the lowest common multiple of 12 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 1. Let t be h(-4). Let y be 0\/(-2) + t\/5. Let l(x) = 18*x**2. Is 8 a factor of l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5182 - 1949. What is r rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/9 + (-5385892)\/(-171)?\nAnswer: 2, 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7733 - 7568.38. What is q rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.121? (a) 0.5 (b) 19\/5 (c) 27 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(1 - 1 - 4*k)*(-4 + 1 + 2 + (-2 - 2 + 6)*(-4 + 7 - 1)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 371*s**2 - 3*s + 8. Let c(u) = -u**3 - u**2 + u - 2. What is 3*c(i) + h(i)?\nAnswer: -i**3 + 368*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 36 + 104 = 0. Let z = b - 8. Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82.5 - -80.5. Let i = 2.2 + -7.2. Which is the nearest to -0.2? (a) z (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64986 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149711?\nAnswer: 149711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*g**2 + 84*g**2 - 280*g**2 + 86*g**2.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 21*n - 1160. Calculate the highest common divisor of n and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/5, -4, -71, 0.1 in ascending order.\nAnswer: -71, -4, -1\/5, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 2. Give f(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1066 and -1066 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 1:56 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 551206827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 236202*p**3 - 67136.\nAnswer: 708606*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 3. Let g(c) = -c**2 + 5*c + 4. Let h be g(5). Let z be h + -3*(-10)\/(-6). Let n(r) = 1. Give z*y(q) - 5*n(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37124 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 19. Calculate the remainder when 24 is divided by i(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*a = 0, -160*w + 163*w + 6 = -a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 87*y**2 + 3. Let i(r) = 27*r**2. Give i(g(p)).\nAnswer: 204363*p**4 + 14094*p**2 + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228973 is divided by 57231.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-36))\/(2\/(-76)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20545 (base 7) in base 4?\nAnswer: 1033120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-2 + 1))\/((-3)\/12). Solve -6*x + 5*x + y = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1905 from 0.07.\nAnswer: -1904.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and 16?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.89554819 rounded to one dp?\nAnswer: 56.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/7454 and 75\/14908?\nAnswer: 14908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, -2 in decreasing order.\nAnswer: 18, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 711*g*o**2 - 2*g*o + 433*g + 2484901*o**2 wrt g.\nAnswer: 711*o**2 - 2*o + 433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 plus 4.219289634?\nAnswer: 13.219289634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 62*n**3\/3 - 1115. Let o(b) = 14*b. Calculate c(o(f)).\nAnswer: 12152*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(264)\/(sqrt(768) - (sqrt(768)*-2 - sqrt(768)) - sqrt(12) - sqrt(12)))\/((sqrt(550)*2)\/(sqrt(2) - 2*sqrt(18) - sqrt(2))).\nAnswer: 3*sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 186*f. Let l(x) = 34*x**2. Determine l(c(u)).\nAnswer: 1176264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 11*h. Find the third derivative of h*o**2 - 4*o**2 + 2*o**2 + 5*o**2 - 17*o**5 wrt o.\nAnswer: -1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i + 1. Suppose 6*p = 2*p - 4. Let c = p + 2. Determine b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283.76 - 289. Let u = -1.66 + w. Let x = u + 7. What is the smallest value in -0.4, 4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u = 36. Let d = u - -10. What is the remainder when d is divided by -2 - (-1*2 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.56 - 3.56. What is the fourth smallest value in -2\/9, -5, j, -13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 6*h)*(-2 - 1 + 2) - 12*h - 27 + 27 + 2*h + 0*h - 4*h - 4*h + h + h + (0 + 1 + 0)*(0*h + 0*h - h).\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c = 15, -4*z = 3*c - 423. What is the least common multiple of z and 16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 7*f**2 - 7*f - 3. Let j be s(-6). Let r(c) = -c**3 + c**2 + 3*c - 3. Let v be r(j). Let b = 11 - v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -423 at most -40196\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Suppose d = j - 20. Suppose 4*x - 3 = b - j, 2*b + 5*x = -21. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 4*s**2 + s. Let o(l) = l**2 + l + 1. Determine n(i) + o(i).\nAnswer: -2*i**3 - 3*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 - 205. Suppose 4*m - c*l - 33 = 0, 0*l + 27 = 4*m - l. Solve 15 = k - m*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbxbnbaabhhy. What is prob of picking 1 a and 1 b?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-10)*(-90)\/252?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -18.63, -5, 3\/10, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.4 and 0.055.\nAnswer: 0.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13662, -27318, -40968, -54612, -68250?\n\"Answer: 3*g**2 - 13665*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 598\/52 - 1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58884 in 1.3, 5, 2\/13, -0.2, -3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 1. Let y be z(13). Suppose t - 65 = 5*f, -5*t + y = -f - 155. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380435*d - 380529*d = 1974 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 25aaa3?\nAnswer: 25aaa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 563234, 563232, 563230, 563228, 563226, 563224?\n\"Answer: -2*p + 563236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405548582 to the nearest integer?\nAnswer: 20138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 6*j**2 - j**2 + (-2 - 1 + 1)*(1 - j**2 - 1) - j**2 - j**2 + 0*j**2 + 2183*j**2 - 3259*j**2 - 10163*j**2.\nAnswer: -11237*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (574\/294 + -2)*(-14)\/12 and 41\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 n when four letters picked without replacement from {b: 6, u: 1, n: 2, c: 1, l: 3, y: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-66 + 51 - -105).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 483.\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 2 + 4.\nAnswer: 6 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -374.7848 - 0.0152. Let l = q - -408. Let y = 33 - l. Which is the second smallest value? (a) -0.3 (b) -2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (906\/261)\/(70\/(-6)). Let o = a + -1\/406. Let r be (-38)\/(-9) + 2\/(-9). Put r, o, -4 in decreasing order.\nAnswer: r, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 - 13*y**2 - 6*y**3 + 4*y**2 + 8*y**3.\nAnswer: 8*y**3 - 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-27) - (-382)\/(-18). Let q = 39 - r. Calculate the highest common factor of 40 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27822462 and 420?\nAnswer: 27822042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 53*l**2 + 6780*l + 9. What is a(113)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 841789 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*sqrt(441)*-1 + sqrt(441)))\/(-2*(sqrt(70)*-2)\/sqrt(10)).\nAnswer: 21*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -35, -2, 83, 238, 481, 830?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -1\/4, -0.08, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3, -0.2, 0.1366?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(4 - 6) - (286\/12 + (-370)\/(-2220)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 49 = -5*w, -w + 0*w = 4*k - 7. Let m be -58750*w\/(90\/(-16)). What is m rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115 in -14, 11, 3, 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s - 5. Let m be o(4). Let g(z) = -z**2 - 34*z - 120. Let a be g(-28). Let r = a + m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2169 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0977 and 0.06?\nAnswer: 0.1577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + 3.9. Let h = 0.6 - j. Which is the smallest value? (a) 0.4 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 * 12\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9686*v**2 - 67*v - 32. What are the prime factors of w(-2)?\nAnswer: 2, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 164 - 9*r - 18*r + 0*r - 14*r wrt r.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17191556*g**4 - 17333458*g.\nAnswer: 206298672*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/3 + -1. Let h = 0.8 - -0.2. What is the second smallest value in h, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 11:43 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 10*m - 3. Let f be t(11). Let s be f\/(-6) - 1\/3. Suppose y = s*y + 3400000. Round y to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18919 - 302603\/16. Find the common denominator of y and 5\/(-10) - 27\/900.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 148584526 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4395, -4400, -4417, -4452, -4511, -4600?\n\"Answer: -n**3 + 2*n - 4396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -16525\/1743?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3942 - 3937. Which is the third biggest value? (a) 2 (b) -1\/5 (c) -3\/19 (d) -4\/7 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -17*m - 20. Calculate the remainder when o(-6) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -263177 at least -263195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b - 7 + 7)*(5 - 5 - 3*b) + (-3*b + 5*b + 0*b)*(-11*b - 43 + 43).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 451? (a) 0.12 (b) -23182 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 210603856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 9*v + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*f**3 - 840*f**2 - 502*f**3 - 487*f**3 wrt f.\nAnswer: -6234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*p - 22 = 0, -4*x + 0*x - 5*p + 41 = 0. Suppose 0 = -x*m + 3*m + 114. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 + 243 + 222 = -46*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: In base 15, what is 75ad + c066?\nAnswer: 14624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -287 from 0.0442.\nAnswer: 287.0442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 26. Let x be s(-15). Suppose -c = x*z - 80, 0*c = 5*z + c - 100. Suppose -8*u + z = -28. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -800377, -800378, -800379, -800380, -800381, -800382?\nAnswer: -800383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/493 or -37.1382?\nAnswer: -37.1382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0, 0.609, 5, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -15\/124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 2*g - 3, 2*p + 5 = -5*g. Suppose -4*f - w + 510 = 0, p*f - 3*f + 2*w = -388. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/5733 and 82\/39195.\nAnswer: 1920555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/3 + (-10)\/(-15). Let q(x) = 52*x**3 - x**2. Let u be q(1). Let p = u + r. Calculate the remainder when p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23672, 47154, 70624, 94076, 117504, 140902, 164264?\nAnswer: 187584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 2*p. Suppose 0 = -p*a + 5*n + 95, -n - 3 = -4*n. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) + (13 - (-680)\/(-51)). Let h(m) = 10*m**2 - m - 1. What is h(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*x + 3*x - f + 41, 4*x - f + 2384 - 2331 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:08 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b - 1. Let p be l(5). Suppose 3*d = p*c - 27, 7*c - 2*d = 2*c + 39. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 219450492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14485826777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Suppose k*v = 2*v + 18. What is the greatest common divisor of v and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 2 = 2*c + 7*y, 0 = -4*c + 2*y + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 7*o + 735. Let n = 30 + o. Let c = n - -90. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 9*a + 5. Determine g(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyayayy. What is prob of picking 1 y and 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744.1247 millimeters to centimeters.\nAnswer: 74.41247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*h**2*z**2 + 36330*h**2*z + 109*h*z**2 + 5*h*z - 2*h + 43*z**2 + 2*z - 3 wrt h.\nAnswer: 162*z**2 + 72660*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = -4*r, p = 3*r - 4 - 5. Suppose -2*i = -3*i. Solve p = -i*j - 5*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -3.4. Let r = n + 2.4. Let t = -0.100005 - r. What is t rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2240))\/sqrt(5) - (sqrt(77)*1 + sqrt(77))\/sqrt(11)*2.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304829867 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/3))**40\/(x**(3\/4)\/x**7))**(-1\/19))**(-46) assuming x is positive.\nAnswer: x**(-5635\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-130)\/(-35))\/((-5)\/(-210))*860\/28. Which is bigger: v or 4790?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 953476, 953499, 953548, 953635, 953772, 953971, 954244, 954603?\n\"Answer: 2*d**3 + d**2 + 6*d + 953467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 10*f**2 - 3*f - 27. Give t(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14372602.79 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -6*f + 13*f. Which is the second biggest value? (a) f (b) 2 (c) 3 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(11) + sqrt(99)) + (sqrt(84)\/sqrt(4) + sqrt(21))*4 + sqrt(21))\/(1*1*sqrt(252)*-5).\nAnswer: -37*sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*t\/(t**(-7)\/t*t))\/t))\/(((t\/t**(-8))\/t)\/t))\/(t**(-2\/9)*t**(-4)))\/(t**(-5)*t*(t\/t**(1\/4))\/t)**20 assuming t is positive.\nAnswer: t**(677\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-655)\/110)*(1800\/10)\/(-18).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 352\/(-132)*(5\/(-2) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - -18 - 3) + -7 - -382 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**0\/n)*n)**(2\/147))**(5\/3)*(n**1)**(-2\/83)\/(n**(-2\/5))**(-8) assuming n is positive.\nAnswer: n**(-192536\/61005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**2 - 3*q + 5. What is the hundreds digit of w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226911, -227495, -228079, -228663, -229247, -229831?\nAnswer: -230415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3518 - 3478. Calculate the remainder when 72 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 105\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9 + (-2)\/30. Let t = -26\/5 + 167\/35. What is the nearest to b in 1\/5, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r - 14. Calculate the remainder when 44 is divided by f(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 276 - 23*b**2 + 3*b**2 + 42*b**6 - 276 wrt b?\nAnswer: 5040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3680)\/(-2944))\/(1010\/(-16)).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -3\/2, 0.431?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccooccoa. What is prob of sequence oc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 9*p**2 + 9*p - 5. Let v be i(-8). Let l = 18 + v. What is the closest to 0 in l, 2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*100.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100718 - 61905. List the prime factors of h.\nAnswer: 37, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331\/444 - -1\/222. Let c be (4 - (-145)\/(-30)) + 5\/((-120)\/(-128)). Let i*y**4 + 9*y**2 + 6*y + 0 + c*y**3 = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 3\/2 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/4403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x + 96 = 40*x. Let y(i) = i**2 + 12*i - 54. Let v be y(x). Suppose 0*z = 4*z. Solve z = -0*h - 5*h - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.187617 millilitres to litres.\nAnswer: 0.002187617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -50 and -0.0560581.\nAnswer: -50.0560581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/80 - 2\/8 - (35091\/(-630) + 50).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.6 + -1.6. Let g = b - 4. Let j = -18 - -18.5. What is the biggest value in g, -2, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/20*7\/(252\/8)*-21?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35492149, 35492086, 35492025, 35491966, 35491909, 35491854, 35491801?\nAnswer: 35491750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l. Suppose -5*b - 19 = -2*o + 104, 4*o - 282 = -2*b. Let m = 73 - o. Let n(a) = -8*a. What is m*n(u) + 3*r(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -322.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 9:20 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1890 = 324*z - 189*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -63, 21 in descending order.\nAnswer: 21, -19, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15585, 102\/13, -0.4 in descending order.\nAnswer: 102\/13, -2\/15585, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11778991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-1 + sqrt(136))*2)\/(sqrt(8) - (sqrt(8) - (sqrt(16) - (sqrt(16) + sqrt(16)*3))\/sqrt(2)))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.814164 to 3 dps.\nAnswer: 46.814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -162, -161, -154, -141, -122?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzob when four letters picked without replacement from {o: 1, b: 4, z: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162*(4416\/(-138))\/192.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -167 - 5*q + 180 - q**2 + 3*q. Determine y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1255 divide 8133655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -150*q**4 + 6*q**3 + 94. Let n(a) = a**3. Let m(z) = -k(z) + 6*n(z). Differentiate m(p) wrt p.\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3508202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064766751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9057*t - 5*h = -9060*t + 32, 5*h + 38 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2072 + 2065. What is the closest to -0.2 in 2\/13, -0.07, z, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + 19 - -54 - ((-21 - -32) + 1)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-16))\/((-2)\/8). Which is the third biggest value? (a) 6\/13 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*v**2 - 4 + 1 + (-3*v + v**2 + 3*v)*(-2 + 20 + 0) - v**2 - v**2 + v**2.\nAnswer: 19*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4331 + 22*c - 8671 + 4338 in the form u*c + i and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-4))\/(6\/16). Let n = -184 + 184. What is the nearest to n in 0.3, -1, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73416)\/(-25536)*(-4)\/1?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2243022\/3685 + 36024\/67. Let y = x - -356\/5. What is the closest to y in 2, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4073144.\nAnswer: 16292576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceyyyyyyyyyeyy. What is prob of picking 2 y?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h + 2*h + 2*h - 3*h - 2*h. Let a(i) be the third derivative of -11*i**4\/24 - i**2. Let s(n) = 3*a(n) - 7*o(n). Let f(g) = -4*g + 1. Give s(f(v)).\nAnswer: -8*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a - 76 = 0. Let n = -14 + a. Solve 4*s = n*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from eppszep?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-63))\/((1\/(18\/(-20)))\/1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 510 - 510 - 25*s - 1 + 1 + s + (-1 - 2 + 1)*(-5*s - 3*s + 5*s) + (3*s - 4*s + 5*s)*(-2 + 4 - 3).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4308670 and 279526?\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380029 is divided by 126669?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21905? (a) -1 (b) -56 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {q: 3, v: 3, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 12*w + 208*w**2 - 206*w**2 - 12. Let q be o(6). What are the prime factors of (-8)\/((-3)\/(315\/q))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6014*l**3 - 3006*l**3 - 3007*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-2)\/(-1))\/(1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v - 2*u + 633, -5*v + 1077 = -4*u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/904, -73, 1\/3, 4\/5 in ascending order.\nAnswer: -73, 1\/904, 1\/3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 106.9296. Let p = -4.7716 + f. Let y = p - -4.9. Round y to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -4 + -2 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/213 and (3\/19)\/(2172\/(-112) + 27).\nAnswer: 4047","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/14)\/(47\/((-329)\/(-14)))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 197.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*g - 12 = 0, -26 = -2*y - 2*g - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88) + -5*(2*sqrt(88) - sqrt(88)) - sqrt(88))\/(sqrt(8) + -2*sqrt(392)) + (0 + (-1 + sqrt(44) - sqrt(44)))*-4*1.\nAnswer: 4*sqrt(11)\/13 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-699)\/(-36) - 24)\/(15\/(-6)). Suppose i*w + 121\/12 + 1\/12*w**2 = 0. What is w?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464\/290 + 1*-2 + (-154)\/715\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 8*y**2 + 7*y + 8. Let g(a) = a**3 - 7*a**2 + a. Let b be 5 - (-2 + 0) - 0. Let n be g(b). Let p be c(n). Solve 0*s - 4*s = -p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-12)*p*p\/(p**(1\/2)*p)*p**(-3\/7) assuming p is positive.\nAnswer: p**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5567 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 + o**2 + 4*o + 105. Let n be 2\/29 - (-114)\/(-1653). Let x be f(n). What is the highest common factor of x and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*a**3 - 470*a + 117*a + 353*a.\nAnswer: 192*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 27 = 3*u, 3*y + 3 + 13 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 2*s + 5. Let z(d) = -3*d**2 + 2*d + 4. Give 6*v(b) - 7*z(b).\nAnswer: -3*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -34\/651385?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 14*t + 358. Give b(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 1458*t**5\/5 - 619056*t**4\/5 - 17789578*t**3\/5 - 123138544*t**2\/5 + 3557624*t + 24751520 = 0.\nAnswer: -370\/27, -1, 1, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.3 and 2.\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4824, 4676, 4440, 4122, 3728?\n\"Answer: v**3 - 50*v**2 - 5*v + 4878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 3654?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 + 2 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191665766 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/(-4) - (-1)\/2. Let j = -4 - a. Suppose 25 = 5*o + d, d + 31 = 4*o + 4*d. Solve j*g - 26 + 9 = -v, 4*v = -4*g + o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1))\/((-3)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from yqdlwwn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 44 = -50 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4169316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.64*102\nAnswer: -167.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 2 + 31)*(-4 + 7 + 4)*(5*t**4 + t**4 - 4*t**4) to c*t**4 + z*t**2 + f + i*t + w*t**3 and give c.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from yyyyyeeyyy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1920)\/80*((-5)\/(-45))\/(-1).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 28. Determine i(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/3848504 and 83\/103909608?\nAnswer: 103909608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/860 and -41\/202?\nAnswer: 86860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 42. Let y = -30 - q. What is the units digit of -4 - -8*(y + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-112)*(5 - 15). Let f = i - 5\/21. Let z = 1 - 5. Which is the nearest to z? (a) -3 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392999.\nAnswer: 59, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000570796 rounded to 7 decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1461856529 to the nearest integer?\nAnswer: 38234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(396)*-1 - sqrt(396)) + sqrt(396) + -4 - (sqrt(396) + -5 + sqrt(396) + 1)) + -4 + -2 + sqrt(396) + 1)**2*3.\nAnswer: 360*sqrt(11) + 4828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 264.8 + -265. What is the smallest value in -1\/10, -2\/9, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 74. Let y be (24\/(-528))\/((-1)\/a). Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 24.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 46, 57, 62, 61?\n\"Answer: -3*j**2 + 26*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -235956 smaller than -235956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11126661 is divided by 11126658.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -23. Sort -5, -2\/15, p in decreasing order.\nAnswer: -2\/15, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -29. Let o = 10.48 - 4.68. Let y = o - t. Round y to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.213, 0.017 in increasing order.\nAnswer: -4, 0.017, 0.213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 28) + 5 + (-5 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 + 3*z - 5. Let f(i) = -3*i**2 + 2*i - 5. Let c(l) = -5*f(l) + 4*r(l). Let g be c(0). Solve -u = -0*u - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2. Let z(j) be the first derivative of 0*j**2 + 2 - 2\/3*j**3 + 0*j. Determine a(z(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -c + 63, -3*a + 204 = 4*c + a. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 17*h**2 - h + 1. Let m be r(1). Suppose -2*p + 11 = -p + 3*k, -4*p - 3*k = -m. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - r + 2 = 4*g, 0 = 3*g - 4*r + 15. Let o(d) = -117*d. Let c be o(g). What are the prime factors of 2\/(-13) - (-1656)\/c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/28 + 2945\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122420142 - 124?\nAnswer: 122420013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 179397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -2256.\nAnswer: -6768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o - 42. Let a = -46 - o. Let t = -15 - a. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 y when three letters picked without replacement from mbmygbv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mess when four letters picked without replacement from {s: 6, e: 7, m: 6}.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48073653 and 1116?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123112133 - -123320?\nAnswer: -1122322213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -5*i. Let b be 1\/(i\/6 - 1). Let m be (b\/4)\/((-3)\/30). Solve 0 + m = 5*o, w = 3*o - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-27))\/((-192)\/240)*-4*(-12)\/5?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-10))\/(48\/(-15) - -3). Let k(c) = 8*c**2 + 2*c**2 - j*c**2. Suppose x - 4*x - 5 = -4*p, -p = -x - 2. Let r(a) = -6*a**2. What is x*k(g) - r(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 20*x. Solve 0*i + 6*i = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001120102121 (base 3) to base 9.\nAnswer: -13046377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -380511062+-0.269\nAnswer: -380511062.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**2 - 456*x + 4950. Determine g(25).\nAnswer: -1450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 7*o + 4. Let t be f(-7). Suppose -2*c + 0 = -t. Calculate the greatest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1 + (-175)\/(-1771) + (-7728)\/(-10626).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.39 + -5.39. Which is the third biggest value? (a) -1\/8 (b) u (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = -12. Suppose -l = l. Suppose 4*s - 24 = -4*r, r - 2*r + 4 = l. Solve -3*u + s*u - m = -1, 4*m = n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*x + 9 = 0, -2*u + 2*x = 6*x - 18. Calculate the least common multiple of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let z be o(6). Suppose 0 = -2*x - z. Let c(j) = -j**2 - 3*j + 4. Let q be c(x). Sort -3, q, -1.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2292*u + 1895.\nAnswer: 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5368 - -16253\/3. Let r = t + -49. What is w in -5\/3*w**4 + w**3 + 1\/3*w**2 - 1\/3*w + r*w**5 + 0 = 0?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/8 and 117\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -366.7 + 366. Which is the third smallest value? (a) -4 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-4))\/((-4)\/8). Let u be (0 + -6)*-1 + s. Let f = -127 + 129. Solve -f*g - 7 = u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*t + 18, 1 - 8 = -y + 3*t. Let m(o) = 915*o - 9151. Let r be m(10). Put 2, 6, y, r in increasing order.\nAnswer: y, r, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 6*g)*(-4*g**3 + 4*g**3 + 2*g**3) + (40*g - 77*g - 89*g)*(9*g + 3*g**3 - 9*g).\nAnswer: -384*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -215.597866 + -8636\nAnswer: -8851.597866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n**2 - n**3 + n**3 - 29*n**4 + 27*n**4 wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45429054 or 45429096?\nAnswer: 45429096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*((sqrt(100)\/sqrt(2))\/sqrt(10))**2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k + 5. Suppose z = 3*z + 282. Find the common denominator of 13\/8 and z\/(-30) + 1 + k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**5 + 8*s**5 + 45*s**2 - 31*s**2 wrt s?\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 98. Let o be a(-51). Let f = 140 + -157. Sort f, 2, o.\nAnswer: f, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 74\/13 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -15) + (-4 - (5 - -18) - -3)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**7\/420 - v**6\/120 + v**3\/2 - v**2. Let h(a) be the first derivative of y(a). Find the third derivative of h(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - 2*a + 5*a + (-a + 5*a - 2*a)*(-3 + 0 + 5) + (36989 + 37089 - 73902 + (-1 + 0 + 3)*(-4 + 0 + 3))*(-a + 4*a - 4*a) as j + r*a and give r.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccjcccccjc. What is prob of sequence ccj?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 26 = -30. List the prime factors of (-3*4)\/m*2350\/6.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1818151995 and -49426.\nAnswer: -49426.1818151995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 + 127200*b - 808992000 = 0. What is b?\nAnswer: 12720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101001000100010 (base 2) in base 11?\nAnswer: -13956a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225660405*h**3*w**3*x + 38*h**2*w*x + 2*h**2*w + 302*h*w**3*x - h*w**2*x + w**3*x - w**3 wrt h.\nAnswer: 1353962430*w**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 2)*8\/8. Let y(u) be the first derivative of -1 - 1\/9*u**o + 2\/27*u**3 + 0*u. Determine w, given that y(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16490.722 and -1.15.\nAnswer: -16491.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9974 and -0.03.\nAnswer: -0.029922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**2 - 2\/9*z**3 + 5\/18*z**4 + z + 11\/30*z**5 + 5\/21*z**7 + 0 - 29\/45*z**6. Let l(f) = 0. What is f?\nAnswer: -2\/5, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -34. Differentiate 8*t**2 + 0 - 3 - 4 + w with respect to t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -38912 divided by -25?\nAnswer: 38912\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 + 3*d + 4. Let l be ((-12)\/(-4) + 73)\/2. Suppose l*y + 3 = 39*y. Calculate j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/142 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5417885.\nAnswer: 5, 11, 98507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 6*z + 10. Let h = -48 - -43. Let v be b(h). Calculate the highest common divisor of 270 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*z + 58 - 58 + (-5 - 2 + 5)*(2*z - 2*z - z).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -211381, -211511, -211637, -211759, -211877, -211991?\n\"Answer: 2*c**2 - 136*c - 211247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5\/7 + 45882*p**4\/7 + 25054848*p**3 - 350951424*p**2\/7.\nAnswer: 3*p**2*(p - 2)*(p + 7648)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 72, 175, 320, 507, 736, 1007?\n\"Answer: 21*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 1)*182\/(-4). Suppose -3*p = 3*f - 93, -3*p + 0*p + z = f. Suppose -55*u + 594 = -561. Calculate the lowest common multiple of u and p.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 7*b**2 + b - 5. Let x be n(7). Suppose 1 = 2*g + 3. Sort 1, x, g.\nAnswer: g, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -24*r. Suppose -3*w = -2*x - 9 - 1, 0 = -2*w - 4*x + 12. Suppose -5*c - 1 = w. Is p(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 65. Let d be m(-26). Sort 5, -4, d, -2 in increasing order.\nAnswer: -4, -2, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f + 5*b - 6, 0 = f - 5*b - 1. Let p be (-2)\/4*f - (-7 - -5). Suppose -3*x - a = -0*a - 2608, 3*x - 2633 = p*a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzkkz. Give prob of picking 3 z and 1 k.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43880 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: What is the tens digit of 57494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 1 = 3*q, -33*o = -34*o + 3*q + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 51. Let v be (2\/o)\/((-3)\/(-45)). Let l(c) = -c**2 - 5*c + 5. Calculate l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 43?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c (base 14) to base 4.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-22) + -2*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4816468*q = 4815813*q - 55020 for q.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18001116.\nAnswer: 2, 3, 7, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1409 + -1403. Put i, -225, 0 in increasing order.\nAnswer: -225, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 770*s - 2288. Calculate z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.9257 times -7.5\nAnswer: -21.94275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1262 + -5045\/4. Factor l*v**2 + 3\/2 + 9\/4*v.\nAnswer: 3*(v + 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160880 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114491 is divided by 1070.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/4 + v**3\/3 + v**2\/2 - v - 148. Factor a(m).\nAnswer: -(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155*h**6 + 7*h**5 - 5*h**3 + 21*h**2 + 3*h - 185?\nAnswer: 18600*h**3 + 420*h**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/424650776 and -129\/193023080.\nAnswer: 2123253880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 15*t - 27. Let q be p(-6). What is the highest common factor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/119 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5931 and 326.\nAnswer: 1933506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*b = -70, -47*f + 46*f - 3*b - 35 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from xsjx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3925290*y**2 + 4959955.\nAnswer: 7850580*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1257*a - 273824 = -1901*a - 1806*a + 98476 for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -367 - -367.18. Sort -3, 7, n, 0.1.\nAnswer: -3, 0.1, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 2 - 365*b**2 + 344*b + 2.\nAnswer: -365*b**2 + 344*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 195930649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/1 - 20\/10. Suppose 4*t = 18 - n. Solve t*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 121 = -2*n + 71, 4*n - 5*g = 384. Suppose -3*f = -5*f - 3*i + n, -5*i - 80 = -2*f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 13 (c) -2\/11 (d) 1.25 (e) 3 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -112*c**2. Let g(w) = 2*w - 152. Give n(g(q)).\nAnswer: -448*q**2 + 68096*q - 2587648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22919968*t**2 + 25159045 with respect to t.\nAnswer: 45839936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1057*u**3 + 14*u - 902. Let o(b) = -527*b**3 - 6*b + 450. Let j(r) = -3*c(r) - 7*o(r). What is the first derivative of j(w) wrt w?\nAnswer: 1554*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 - 2*a**2 - 2*a**3 + 4*a + 32 + 35 - 9 to r + q*a**2 + s*a**3 + t*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 185 = 150. Let z = 125 + p. Let s = z - 57. Solve s = v + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 10*j - 6. Let t(g) be the second derivative of -14*g**3\/3 + 17*g**2\/2 - 74*g. Let m(a) = 4*t(a) + 11*w(a). Calculate m(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10111001111000110111011?\nAnswer: -10111001111000110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19749573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q + 5. Let t(y) = 2*y**2 + 2*y - 11. Let o(f) = 9*s(f) + 4*t(f). Let r be o(0). What is the units digit of r\/3 - 20\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -226, -481, -836, -1291, -1846, -2501?\nAnswer: -3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -2*w + 2*b, 0 = -3*w - b - 5. Suppose 5*z + 3*p + 0*p = -361997, w = 2*z - p + 144801. Round z to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-5)*-1)\/(30\/(-25)). Which is the nearest to t? (a) -4\/7 (b) 4\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*w + 612 = w, i + 5*w - 204 = 0. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 68 = 28. Factor 114*s**2 + 75*s**3 + 54*s + 8*s + 22*s + 24 + 3*s**t + 24*s**4.\nAnswer: 3*(s + 1)**2*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25127.64 months?\nAnswer: 2093.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-11 + (-3 - -9) - (16 + -7)) - 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284287715?\nAnswer: 5, 2333, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 6 = 0. Suppose -5 = -b - p. Suppose -u + 1 = b*c, 0 = 6*c - 4*c - u - 11. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414*o = -1465*o + 1530 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-1 + 1\/3). Let m be v + 1 + 2 + 1. Differentiate 5*l - l - m - 2*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.89999979 + 6.9. What is m rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h + 250 - 865 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158876, -635574, -1430088, -2542418, -3972564, -5720526?\nAnswer: -7786304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 78.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483965, 484097, 484323, 484643, 485057, 485565?\nAnswer: 486167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 207*q + 2469. Determine n(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 13.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445846923.\nAnswer: 3, 611587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoooawoaoroa. What is prob of picking 1 x and 3 o?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14798*y - 8348*y = -928800 for y.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 588862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113.5*-9792.\nAnswer: 1111392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, q: 3, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -36.541?\nAnswer: 36.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 14*a**3 - a - 1. Let j(q) = 0*q - q**2 + 4 + q**3 + q - 3. Let k(c) = -h(c) - j(c). Find the third derivative of k(z) wrt z.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 346 + -214. Calculate the remainder when u is divided by (5 - 3)*15\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213213 - -10?\nAnswer: -213203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401242 - 3?\nAnswer: -401300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 5) to base 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/294 and 89\/48405.\nAnswer: 677670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.71 + -0.81. Let g = v - 50.6. Let w be 2 + -2*(-2)\/(-4). Which is the closest to w? (a) g (b) -3\/8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:36 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76528 is divided by 4783.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*18\/(-30). Let q(v) be the first derivative of -2\/3*v**3 + t*v**5 + 1\/3*v**6 - 1\/2*v**4 + 0*v + 1 + 0*v**2. Factor q(h).\nAnswer: 2*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/(-56))\/((-1)\/7). Suppose 5 = l*o - 55. Calculate the remainder when 48 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 296*i - 33*i + 324*i + 451*i - 92*i to the form s*i + p and give s.\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -813*a**3 - 2078*a**3 - 35*a**3.\nAnswer: -2926*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166460 and 244770.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 2. Let i be h(-5). Let n = i + -1. Is 148\/4 + n - 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2220, 4398, 6574, 8742, 10896?\n\"Answer: -o**3 + 5*o**2 + 2170*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22088 is divided by 1698?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*a + 153*a - 51*a - 215 = 0. Let h = 11 - 7. Suppose h*m = -m + 10. Solve -m*j = -a - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 147 = 1395. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 8268?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181\/4 - 45. Let n = -2.6 - 0.4. Let j = 6 + n. Put v, -3, j in decreasing order.\nAnswer: j, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2969 to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*q + 4*a - 2*a, q - 5*a = -7. Suppose -i - 3*i + 16 = 0. Solve -q = -0*t - i*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from jkjojloddj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/357 - 368\/(-7728))*-4?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 911*c = 922*c + 11. Sort c, 3, -2, 5 in descending order.\nAnswer: 5, 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -7, 4, -3, 1, -13011, 3 in increasing order.\nAnswer: -13011, -7, -3, 1, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249707 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168532 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -21 - -10 - -8) + (-20 - 3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*u**4*z - 36*a*u**2 - 2*a*u*z + 3746*a*z + u**3*z - 2*u**2 wrt u.\nAnswer: 24*a*u**2*z - 72*a + 6*u*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p. Let w(b) = -83*b. Calculate w(f(d)).\nAnswer: 332*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -16*r. Let v(f) = -f**2 - 3*f. Let j(b) = -2*b**2 - 2*b**2 + 3*b**2 - 2*b**2 - 7*b. Let s(w) = -6*j(w) + 14*v(w). Determine z(s(c)).\nAnswer: -64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 0 + 0*k**3 - k**3 - 2 - 8*k**2 - 8*k + 0*k**3. Let g be d(-7). Determine h, given that 5*h + 8 + g*h - 2*h + 2*h**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 1, g: 3}. What is prob of picking 2 x and 1 g?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -67, -71?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 1*3\/3. Is (-42 - 8\/d)\/(-2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 386, 388, 390, 392?\n\"Answer: 2*b + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 11*d**2 - 11*d - 5. Let v be f(-10). Suppose 0*g - v*g = -220. Let o = g + -30. Calculate the greatest common divisor of 28 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**3 + 943*z**2 - 1632*z - 1403. Calculate p(234).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/16*-10 + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 5. Let v be n(2). Suppose v = 5*g - 19. Sort 1, g, -1 in increasing order.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1*-3*(-2)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 - -3.75. Which is the closest to -1? (a) y (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 33*u - 54. Let b be o(22). Let t = 262 - b. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(4*10\/(-20)). Solve -u*m = -m, 2*w + m + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 525864536.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53\/2 (b) -2\/3 (c) 0.16 (d) 0.5 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 896 = -6*u + 2*u, 5*u + 20 = 0. Let l = -234 + h. What is the greatest common factor of 168 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5340 is divided by 1066.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -15564\/13 and -1197 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/26 + 20\/13. Which is the biggest value? (a) 0.2 (b) y (c) 0 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 + 3996*c**2 - 20136*c - 56224 = 0.\nAnswer: -1004, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 6. Let g = -25 + 27. What is the nearest to 0.2 in g, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-20))\/((-7)\/(-7))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12163970 to the power of 1\/2, to the nearest integer?\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3527.\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7423 + 7513. Calculate the greatest common factor of 195 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109810672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9169159, -9169163, -9169169, -9169177, -9169187, -9169199, -9169213?\nAnswer: -9169229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(22)\/sqrt(2) - (-1*sqrt(33)\/sqrt(3))**2) + -3 + (sqrt(99) + -2 - (1 + (sqrt(33)\/sqrt(3))**2)) + 5.\nAnswer: -20 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 (base 6) in base 9?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 543.03 + 23.47. What is c rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8090 and 12874426.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -14. Let d = i - -7.4. Which is the closest to 1\/3? (a) 1\/3 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -60*c + 83*c + c**2 - 9 + 14. Let y be z(-23). Solve -y*w - 1 = 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 10:35 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261*m**2 + 83*m wrt m.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309362?\nAnswer: 2, 3, 218227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 762.699 micrograms?\nAnswer: 0.762699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -6\/11, 15\/8, 23693\/2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**3 - w**2 + 2*w - 2. Let u be b(1). Let z(i) = -i**2 - 9*i - 9. Let x be z(-7). Solve u = x*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34221 and 4110447.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2*(-2)\/(304\/4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28188044 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 21 = 0. Let l(w) = -9*w**2 - 17*w - 17. Let h(u) = -5*u**2 - 9*u - 9. Let m(j) = q*h(j) - 4*l(j). Is m(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -5, 0.\nAnswer: -5, 0, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10 = 206. What is the derivative of -7 - 7*u - 16*u - r - 13*u wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.3 and 0.17.\nAnswer: -6.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1836 and 65\/345372.\nAnswer: 3108348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - 57. What is the remainder when d is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t**5 + 5148*t**4 + 408844*t**3 - 169500*t**2 - 408824*t + 164352 = 0. Calculate t.\nAnswer: -64, -1, 2\/5, 1, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513599951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1754, -3470, -5186?\nAnswer: -6902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 8) in base 4?\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-1 - -2)*2\/(-10)). Let f(x) = 11*x. Let u(h) = -7*h. Determine w*f(a) - 8*u(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9)\/(14\/105). Suppose -z*s - 1620 = -15*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 64 = 3*d + f, -3*f - 8 = -d. Solve 5 = 5*p - d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:57 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(224) - -4*sqrt(224)*-1)\/sqrt(7))\/(sqrt(256) - 3*((sqrt(256) + -4*sqrt(256) + sqrt(256) - sqrt(256)) + sqrt(256))).\nAnswer: 9*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 830 - 829.8. Let s = -1.1 - -0.1. What is the closest to c in 3, s, -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.9 (b) -3 (c) -1\/5 (d) 4 (e) -662 (f) -2 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 + 130. Let r = 200 + a. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/5 + 66*l**2\/5 - 147*l - 76832\/5 = 0. Calculate l.\nAnswer: -49, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - w = -2*w - 41, -2*w + 4 = 0. Is 12 a factor of (2 - h)*(-4 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {c: 8, o: 1, m: 10}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6070 (base 10) to base 16\nAnswer: -17b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16303733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*q - 5*n + 35, -4*q - 45 = -5*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -2*r - 3*o, -o + 79 = 3*r - 20. Calculate the lowest common multiple of 8 and r.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 = -2*p. Find the third derivative of -n**2 + 4*n**p - n**2 + n**3 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 2*g + 0*g + 16 + 9*g - 5.\nAnswer: 6*g + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -62*d - 2. Let l(o) = -63*o - 2. Let b(y) = 2*l(y) - 3*t(y). Suppose -47 + 10 = -37*n. What is the remainder when b(n) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*w = 109*w - 128. Solve 0 = m - 3*j + 11, -2*m - m - 4*j + w = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 246. Let u(a) = -46. Let v(m) = 3*l(m) + 16*u(m). Let g(h) be the third derivative of -h**4\/24 + h**3\/6 - 6*h**2. What is 2*g(f) - v(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(896) + 2*sqrt(896) - sqrt(896) - sqrt(896)))\/sqrt(2) - (sqrt(448) + 4 + sqrt(448)*1)**2.\nAnswer: -1808 - 135*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 6*c - 1. Let f(w) = -2*w + 1 + 2*w - 2*w. Let g be f(-2). Let b be a(g). Solve -4*r = -0*r - 2*s - 14, b*s + 12 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-43)\/(-1) + 8\/8. Suppose -44 = -4*t + g, -4*t + g + g = -n. Let l = t + -4. Calculate the highest common factor of l and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 59*l - 59*l + 13*l**2.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -335.207 rounded to the nearest integer?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 917\/1362 + -3\/454. Factor -16\/3*l - 32\/3*l**2 - j.\nAnswer: -2*(4*l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176415, -352825, -529237, -705651, -882067, -1058485, -1234905?\nAnswer: -1411327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 120 in -0.1, -39, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 27*p**2 - 22*p - 92. What is the hundreds digit of c(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/722895 and 125\/1602.\nAnswer: 386025930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2820888 by 6948.\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-27))\/(8\/36). Let b(s) = -s**3 + s**2 + 2*s. Calculate b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3894\/(-110))\/((-1 - 0)\/25)?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/360 + l**5\/40 + l**4\/12 - 41*l**3\/6 + 17*l**2. Let g(v) be the first derivative of h(v). Factor g(n).\nAnswer: (n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133947 (base 12) in base 10?\nAnswer: 317575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 3. Suppose -26 = -5*k - c, -1 = 4*k + n*c - 9. Suppose -13 = 3*a - 64. Solve -f - 2*z - k = 0, 1 - a = 5*f - 4*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42894390 to the nearest 100000.\nAnswer: 42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v + 5*f - 105 = 0, 0 = v - 4*f - 20. What is the least common multiple of v and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or 7313258?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243459 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170 + 508 + 115 - 20)*(-4*q**4 + 4*q**4 - 6*q**4).\nAnswer: -4638*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22487226 divided by -226?\nAnswer: -99501","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 160960.\nAnswer: 482880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {k: 5, u: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1220*t + 7344. Calculate j(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392747429 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -346016 divided by 352?\nAnswer: -983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115 is divided by 223.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/((p**(1\/3)\/p)\/p)*p*p)\/(p*p\/(p\/p**(-1\/3)*p))*(p*p\/(p*p**8\/p*p)*p*p)\/(p*(p*(p\/((((p*p**(-15)\/p)\/p)\/p)\/p))\/p*p)\/p*p) assuming p is positive.\nAnswer: p**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*u = 754, 0*u + 5*u = -2*y + 521. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 + 6*y - 3*y - 8*y.\nAnswer: -5*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-21)\/(-5))\/3\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ambmmmbmbhmh. Give prob of picking 3 b.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2)*(11*f + 67 - 67)*(-4*f**3 + 2 - 2) + 0 + 2 - 5 + 2*f**4 in the form l*f**4 + k*f + m + j*f**3 + z*f**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*d = -43, -2381 = 61*u + 13*d + 14*d - 45*d + 16*d for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 6*r - 6. Let b be v(5). Let k(n) = -172792*n**3 - n**2 + n + 2. Let m be k(b). Let w be 1\/2 + m\/16. What is w rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31773552 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17352 + 21 + 36\/(-4).\nAnswer: 2, 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129608 a multiple of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288493.\nAnswer: 288493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142 and 653200?\nAnswer: 653200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from srssrrrr.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (144\/40)\/(4\/(6360\/9)). Suppose -3*l + g - 24 = 0. What are the prime factors of l?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3905, 15626, 35161, 62510?\n\"Answer: 3907*w**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196906412 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.7 - 160423.33.\nAnswer: -160416.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*j, -25599*g = -25598*g + 2*j - 19 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -209 and 0.1942?\nAnswer: -40.5878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3566 + -610931.\nAnswer: -614497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4*(-52)\/78. Let h be (-1)\/(-2) - 1 - 1. What is the closest to -2\/7 in h, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 0*s - 5*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5456, 10580, 15704, 20828?\nAnswer: 25952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 6 = 2*z. Let u = -32 + 65\/2. Are z and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-235)\/(-1))\/(10 - 190\/20). What is the greatest common factor of q and 7708?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 61*k**3 + 2*k**2 + 2*k - 1. Let l be (1\/(6\/(-12)))\/((-2)\/3). What is the units digit of j(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(176) + sqrt(176) + 4.\nAnswer: 4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5\/4 - q**4\/2 - 12*q**3 - 63*q**2\/2 - 81*q\/4 = 0.\nAnswer: -3, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l. Let m(c) be the first derivative of 2*c**2 - 470*c - 2976. Determine j(m(i)).\nAnswer: 12*i - 1410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - u + 20. Let j be l(0). Suppose 3*m - j = -m. Suppose 2*i = 3*q + 2*q - 22, -11 = -4*q - m*i. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0*r - 430*r**2 - 556*r**2 - r + 2 + 244*r**2. Let o be n(-2). Is (-2 - o)\/(4 - (3 + -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-2)\/(-3))*108. Suppose -7*p + 8*p = 31. Let g = b - p. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (2942 + 6 - -3) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2 - 10 - 18207*t + 30785*t + 8. Let f(n) = -n**2. What is g(f(x))?\nAnswer: -12578*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 r when four letters picked without replacement from {r: 17, a: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and -1*(1*-6 + -1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 386946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -143\/4, 0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -17 + 136. What is the third derivative of 0*l**2 - 2*l**2 + u*l**2 + 26*l**4 wrt l?\nAnswer: 624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 + 0 = 0. Let x be c - (5 + 0 + -1). What is the second smallest value in -0.3, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38252 is divided by 450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61522264*h**5 + 28*h - 793176 wrt h.\nAnswer: -1230445280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 - -223. Let m = 45 - r. Calculate the greatest common factor of m and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1718.745584 from 37.\nAnswer: -1681.745584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - -0.2. Let j = -10 - -15. Let l(n) = -2*n - 4. Let h be l(-4). Put w, h, j in ascending order.\nAnswer: w, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -11\/6 (b) -57 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -1473\nAnswer: 23568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - q. Let w(m) = -8*m**2 + 6*m. What is -5*v(n) - w(n)?\nAnswer: 3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 16 - 12)*(2747 - v + 2451 - 5437).\nAnswer: 20*v + 4780","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.03 + -14. Let s = -0.43 + i. What is the biggest value in 2, 0, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*s - t, s - 17*t - 4 = -18*t. Solve -11*y + s*y = -15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 45*y**4 - 288*y**3 - 26*y**2 + 288*y - 19 = 0.\nAnswer: -1, 1\/15, 1, 19\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 34. Let c be s(10). Solve -c*p = 6 + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -3, 122, -1\/85?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(-1)*(-57 - -54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241462.\nAnswer: 2, 13, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/26785?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-66)*((-9)\/(-12192)*4)\/((-39)\/(-572))?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) - 102444\/420. Let x = k + 244. Let x*l**4 + 2\/7*l**3 + 0 - 4\/7*l**2 + 0*l = 0. What is l?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000241088 to the power of 1\/2, to the nearest integer?\nAnswer: 31627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-102)\/9*(-924)\/(-32). Let j = a - -328. Let z = 13 + -4. What is the closest to 0.1 in j, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325 and 350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j + 483 = 94*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 3. Let d be g(-2). Suppose 0 = 10*k - 17*k - 3283. Is k\/(-1 - (5 + d)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)\/h)**(-23)*(h**(19\/3))**(-8\/5) assuming h is positive.\nAnswer: h**(5368\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 649248 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2b?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4122 is divided by 520?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71274800*k**5*w**2 - k**2*w**2 - 3*k**2*w - 2*k**2 + 17441*k*w**2 + 2*w**2 + 4*w wrt k?\nAnswer: 4276488000*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = a + 5, -5*a - 36 = -107*y + 106*y for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 151733.7kg?\nAnswer: 151733700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2213*c + 714532. Give t(323).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31832 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5357 divided by 5?\nAnswer: 5357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*c - 170764, -c - 187887 = -5*r + 239006. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h + 6*h + 34 - 33 + (-6 + 1 + 3)*(0 + 0 + 3*h) + 3*h - 4*h + 3*h in the form s + x*h and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*n + 1)*((309*n**2 + 129*n**2 + 30*n**2)*(2*n - n - 7*n) + (-2*n**3 + 4*n**3 - 3*n**3)*(-2 + 2 + 2)).\nAnswer: -5620*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:05 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 20953397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121 + -109 - (1 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + -0.42. Let m = -0.06 - -4.06. What is the second biggest value in -0.1, m, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*x + 2 = -2, -2*o - x - 1 = 0. Suppose o = 7*a - 5*a + 40. Let g = 10 - a. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 16*o**2 - 4 + 4. Let h be ((-2)\/(-3))\/((-6)\/9). Calculate the remainder when 47 is divided by a(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186895672233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-707)\/(-202) - (-42)\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 9*b**2 + 15*b + 57. Let i = -158 - -148. Let q be x(i). Calculate the highest common divisor of q and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/378*18*(18\/10)\/((-16)\/360)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61570648 and 225562.\nAnswer: 7778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**2 + 9. Let c be w(10). Let a(g) = 44*g - 22. Let u be a(-9). Let y = u + c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-8)*(-44)\/(-10). Suppose -3*b - 5*x + y = 0, 3*x + 37 = 5*b + 2*x. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**3 + 0*o**3 + 2*o**3)*(2 - 5 + 4) + o**3 + 2 - 2 - 3 + 5*o**3 + 3 + (o + 4*o - 3*o)*(o - o**2 - o) as v + t*o + w*o**2 + u*o**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**2*b*z**2 + 22357*a**2*z**2 + 127*a*b*z - a*z**2 + 1413 wrt a?\nAnswer: -30*b*z**2 + 44714*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 13 + 1. Let r be (-13 - j)*(-1)\/(-2). Sort 16, 1, -4, r.\nAnswer: -4, r, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 - -4 - 2) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21161 is divided by 76.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 - 26*m**2 + 10*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204162.\nAnswer: 2, 3, 7, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*g**2 + 15*g**2 - 2*g**3 + 83*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.061 < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = 23*r + 78 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 6 = -4*m - 14, -5*o + 9 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -517*i**4 + 157664*i*z**3 + 127967003*z**3 wrt i?\nAnswer: -2068*i**3 + 157664*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22920441 and 453?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/6 + 470\/1. Suppose -4*u + y + 216 = 0. Let l = 255 - u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288483 and 5745?\nAnswer: 552444945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + y - 139 - 648, -2*k - 3*y = -307. Suppose -d = -102 - k. Calculate the greatest common factor of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 823\/13351 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 2 + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*c)*(c + c + 0*c) + 0*c**2 + 4*c**2 - 3*c**2 + 2901*c - 1453*c - 1446*c - 3*c**2 + 7 to the form j*c + i*c**2 + g and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (4 + -8 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 444.\nAnswer: 7\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10160973289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 2*x = 63. Let u be (x\/(-6))\/((-2)\/4). Find the first derivative of -7*b**u - 2 - 5 + 11 wrt b.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3299, 5, 3, 2, -5, -8 in ascending order.\nAnswer: -3299, -8, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 3038577625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8688637 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**2)\/(x\/(x*x**1)*x))\/((x**6*x)\/(x**(-5\/6)\/x)))\/((x*x\/(x\/x**0*x)*x)**(2\/5)\/(x*x*x**(-3\/5)\/x*x*x**(-2\/9))) assuming x is positive.\nAnswer: x**(-91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8762 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-8)*4\/(-3). Let s(x) = -x - f*x**2 + x. Let v(i) = -6*i**2 - 3. Let t(j) = j**2 + 1. Let h(r) = 3*t(r) + v(r). Calculate s(h(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 605488 and 135616?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 6*v + 59. Let k be d(11). Solve 0 = 3*u + 2*y + 13, y + k*y = -25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -21) + -6 + (-22 - -23).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsss when four letters picked without replacement from {v: 2, r: 8, g: 1, m: 4, s: 4}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 + 0 = 0. Let l = p - 1. What is the second smallest value in 3, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25887?\nAnswer: 3, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4231661040 = -159*p + 34*p - 1198213960. Round p to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71652848, -143305695, -214958538, -286611377, -358264212, -429917043?\nAnswer: -501569870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 34962601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -22*z**4\/5 - 52642*z**3\/5 - 43008*z**2\/5 + 114808*z\/5 - 19136\/5 = 0.\nAnswer: -2392, -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2664 - 472*w**2 - 1331 + 309*w**2 + 1217*w**2 - 1344 - 16*w wrt w?\nAnswer: 2108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1161, 2322, 3485, 4650, 5817, 6986, 8157?\n\"Answer: s**2 + 1158*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44353 (base 6) to base 7.\nAnswer: -24021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-182)\/(-49) - 8 - -4)*-35. Solve -220*l + 223*l = -n + v, 3*n - 9 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/6048 and 107\/6048.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707795.\nAnswer: 3, 5, 37951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*h - 302*h - 311*h - 3*h**2.\nAnswer: -3*h**2 - 48*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4345686*u - 4345686*u - 30*u**2 + u**2.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768178 is divided by 32000.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -180*y + 12. Let j be c(-6). Suppose 10*l = 14*l - j. Suppose 3*q + l = 3*r, 522 = 5*r - 2*q + 64. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(1 - -2))\/((-161)\/46). Suppose -4 = -h + 1. Suppose -y*a + n = -337, -518 = -5*a - h*n + 362. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 4*q**2 - 2*q - 19. Suppose -3*l - 4*j - 5 = 0, 5 = -2*l + 473*j - 476*j. Determine m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*c - 34, -5*c + 11840 = 20*z + 11955 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y\/(y**(-8)\/y))*y)\/y*y\/(y\/(y*y\/(y**(3\/2)*y)))*y)\/(y**6\/(y*(y\/y**(2\/13))\/y)) assuming y is positive.\nAnswer: y**(-355\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:01 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275445?\nAnswer: 3, 5, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.035019, -0.16, -11.\nAnswer: -11, -0.16, 0.035019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-9) + (-265)\/45)\/(-2). Let o(y) = -y**2 + 42*y - 120. What is o(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3565, 3564, 3563, 3562, 3561?\nAnswer: 3560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/2 - c**3\/3 + c**2\/2 + 3*c. Let d be u(1). Solve 5*v - z - 4*z - 20 = 0, -d*v - 15 = 2*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -30. What is the least common multiple of h and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*w - 4 + 408*w + 3 - 1572*w + 1.\nAnswer: -786*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2838*q**2 + 2838*q**2 + 22*q**4 - 22 wrt q?\nAnswer: 88*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 19 (c) -6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 90 - 355 = 0. Is 43 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.46+-232570\nAnswer: -232570.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkyk when four letters picked without replacement from {k: 4, t: 1, e: 1, y: 3, a: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 13*h**9\/252 + h**7\/105 - 451*h**5\/60 - 2*h**3\/3 - 4*h**2 - 168. Find the third derivative of i(n) wrt n.\nAnswer: 3120*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20820 and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16488841 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guuguuuuu. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 105442, -17?\nAnswer: 105442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfqqqqqfqqfqtqqfff. Give prob of picking 1 t, 1 f, and 1 q.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*s - 5738 = -192*s + 2*c, 11*c = -s + 1102. Calculate the lowest common multiple of 9 and s.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 + 178. Does 63 divide 3*t\/(-18) - (-3640)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.6, -2\/9, 18 in ascending order.\nAnswer: -16, -0.6, -2\/9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-88)\/176)\/(1\/(-59434)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5497*d. Let k(b) = 3768*b**2. Determine k(z(g)).\nAnswer: 113857689912*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -3 (c) 1\/8 (d) 71 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5 - 100*g**4 - 1448*g**3 - 2700*g**2 + 52650*g + 54000 = 0.\nAnswer: -24, -15, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/60 + 5*j**4\/12 - 3*j**3\/2 - 2*j**2. Let a be g(9). Let w be (-14)\/(-7) - (a - 0). Solve w*v = -v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1940 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 30*m**2 + m + 32. Give s(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2)*6\/6. What is the first derivative of -7 + h*v - 5*v - 2*v + 4 wrt v?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(18 - 10 - 28)*(-3*p - p + p)*(-p**3 + 3*p**3 - p**3 + (-p - 5*p**2 + p)*(-2*p - p + 2*p) + p**3 - 4*p**3 + 0*p**3).\nAnswer: -180*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1129183221 - -1129183231.59999666. Let f = -10.6 + v. What is f rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -148 - -150. Suppose -18 = -k + 2*t, -a*k + 68 = k + t. Is 32 a factor of 129 + (-26)\/k + (-20)\/(-110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 375380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 + 28719314*i\/11.\nAnswer: 2*i*(i + 14359657)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1432211 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 2*3*sqrt(272) - sqrt(102)\/(6*sqrt(24)\/sqrt(4)))**2.\nAnswer: 474113\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*t - 56 + 74 = 0, 30 = -5*l + 5*t for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (sqrt(156) - (1*sqrt(156)*-6 + sqrt(156)))\/(sqrt(12) + sqrt(144)\/(-2*sqrt(12))) + -3).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 18 = -z, -5*z = 0. What is the lowest common multiple of d and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:42 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 492458442\nAnswer: 492458440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70\/(-14)*2\/(-2). Let n(p) = -v*p + 6*p - 12*p. Let f(g) = 491*g**2 + 2*g - 983*g**2 - 2*g + 487*g**2. What is f(n(d))?\nAnswer: -605*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -594.6 less than -1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.1 (b) -5\/3 (c) 1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 3, 452, -45, 41 in decreasing order.\nAnswer: 452, 41, 3, -26, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 108 = -b. Calculate the common denominator of (5\/8)\/(10\/((-240)\/b)) and 20\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000313384772 rounded to five decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {v: 2, u: 2, t: 1, z: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 689015.4 milligrams?\nAnswer: 689015400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60401, -61090, -61779, -62468, -63157, -63846?\nAnswer: -64535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -723384 by 6698.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h**2 - 4*h. Let y be i(-3). Let r be 3154\/(-36) - (-156)\/351. Let c = r - y. What is the third smallest value in 1, c, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3216390913606.\nAnswer: 3216390913608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 144 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z + 102 = 20*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -1\/15*j**5 + 0*j - 5*j**2 + 0*j**3 + 0 - 1\/24*j**4. What is the second derivative of k(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000474641677 rounded to six decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/12447 and -31\/103756809?\nAnswer: 933811281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/(y\/(y*y**15*y)))**38 assuming y is positive.\nAnswer: y**589","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 plus -79?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*p + 263496, -4*r = 29*p - 24*p - 329365. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 638654 + 1842?\nAnswer: 641606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002536210402 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by (-180)\/216 - 431\/(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -1307*q**4\/24 + 635*q**3\/2 - 50*q**2 + 66. What is the first derivative of s(y) wrt y?\nAnswer: -1307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + 444. Let b = -539 + x. What is the third smallest value in 39, b, 2\/7?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = -3. Suppose p*a - m = 28, m - 19 = -5*a - m. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594077184.\nAnswer: 2, 3, 128923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 457 = 4*o - 5*o, -4*x = 2*o - 368. Let d = x + -61. Suppose 0*i = 3*i - d. Solve i = b + b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 2:08 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 393 - 820. Let q = -431 - n. What is the nearest to 1 in 0.1, q, 4\/3, -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97077339590 to the nearest 1000000.\nAnswer: -97077000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 474*j**2 + 10*j**4 - 474*j**2 + (j - j + 2*j**2)*(-3 - j**2 + 3) - 2*j**4 + 3*j**4 - 2*j**4 + 2*j**4 - 3*j**4 - 2*j**4.\nAnswer: 4*j**4 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 1, 15127?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 21*w + 20*w = -16, 5*c + 2*w - 74 = 0. Suppose 2*a - 5*x + 10 = -3*a, x = -1. Put a, c, -5, 1 in descending order.\nAnswer: c, 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5150082*c**3 - 4378456*c wrt c.\nAnswer: -30900492*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnnnnmnnwnrmnnr. What is prob of sequence nwn?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + o, 4*s - 27 = -3*o - 11. Let l be -4 - (-3 + s - 2). Let d be (-1 + -2 - l) + 13. Calculate the greatest common factor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 1. Let v be d(-7). Let l be -54*(v\/3 - -2). Solve p = -4, 4*s - 2*p = 2*p + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eve when three letters picked without replacement from jjlllavalaldelale?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/7)\/(-4) - (-2)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4 + 42*f**3 - 180*f**2 + 150*f + 375 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 61, 3 in descending order.\nAnswer: 61, 36, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 905186901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12766 = a - 6394 - 6426 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-32)*l\/((l*(l\/(((l\/(l\/l**(5\/8)))\/l)\/l))\/l)\/l) assuming l is positive.\nAnswer: l**(-251\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419\/5 - -84. Suppose 3\/5*a + 3\/5*a**2 + 1\/5*a**3 + n = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645.2 rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*k - 1323 - 11719 = 3739 for k.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 - (3 + -11 - 3). Which is bigger: q or 2\/1839?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + (sqrt(468) + -2 - sqrt(468)) + 5)*-4)**2.\nAnswer: 576*sqrt(13) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156 - -155. Let j = -0.028 - -0.568. Let s = 0.54 - j. Which is the nearest to -4? (a) 0.5 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewwe when four letters picked without replacement from {e: 3, w: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 28. Suppose 5*w + 2*y - g = 0, -29 + 5 = -w - 4*y. Suppose -4*d - w*d = -1044. What is the remainder when d is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - 22301?\nAnswer: -22334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7415730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2440660, -4881323, -7321988, -9762655, -12203324, -14643995?\nAnswer: -17084668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -238 or -2610\/11?\nAnswer: -2610\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19836 and 755421?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 296 and 336.\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5\/3, -0.4 in increasing order.\nAnswer: -1, -0.4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4 - 6*n**3 + 8*n = 0. Calculate n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y = -13*y - 0*y. Which is the nearest to 2\/5? (a) y (b) 0.4 (c) 0.6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*g = -632, g + 305 = 3*r - 77. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62401*b**3 - 36*b**2 - 59*b + 2 wrt b.\nAnswer: -374406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 8*s**2 + 3*s + 43. Let t be n(8). Let x = 836 + t. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.4121.\nAnswer: -0.16484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + j. Let m be t(1). Suppose 2*p = 5*d - 30 + 1, -m*p = -4*d + 28. Is p equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -103 in -0.4, 2, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 323, 44, -36 in ascending order.\nAnswer: -36, 44, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 10:02 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h - 6. Let g(w) = -14*w + 10. Let j(l) = 6*g(l) + 10*m(l). Let a(q) = 142*q**2. What is a(j(s))?\nAnswer: 2272*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*y - 4*h, -2*y - 4*h + 2 = -3*y. Suppose 3*i + 258 = -3*d - 66, 3*i - 3*d + 318 = 0. Let z = i - -100. Is z at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 3, s: 1, m: 3, i: 1}. Give prob of sequence mxi.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -29. Let a be -18*(94\/(-6) + v). Suppose 4*j - a = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -16 + 12 - (-6 - 0). Solve 5*b - 2*n = a*n - 13, b + 11 = 5*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -16. Let g(s) = 4*s + 4. Let j(c) = -c**2 - c - 1. Let x(w) = u*j(w) + g(w). Let f(d) = 2*d**2. Calculate x(f(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*t + 2315 - 2270 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -7a5?\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 - 7*y + 10. What is the units digit of w(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 530*r**3 - 1635*r**2 - 20*r + 2180.\nAnswer: 5*(r - 109)*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(12\/9)\/((-17)\/(-9) - 1)*1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(7 + -4) + -2. Let c = 87 + -85. Solve -3*r - 13 = i - 3*i, k*r + c = -2*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/16*(-16)\/(-72)*-9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4165144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 6:39 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/6)\/(1 - 0). Let o = g + 33. List the prime factors of (o\/(-3))\/(8\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkk when three letters picked without replacement from kkmmmkkmkmmmkmkkykkm.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52064096 rounded to the nearest one hundred thousand?\nAnswer: -52100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 43, 67, 93, 121, 151, 183?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wppw when four letters picked without replacement from ooxpwwpwcw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2404796.357 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2001 and 1173.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzlzllzll. Give prob of sequence zzlz.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 20. Let m(n) = n**2 + 2*n - 7. Let b be m(-7). Suppose 3*d - v + 8 = b, -d + 4*v = -3. Is u < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 65\/5 + (-4 - -1). Solve -7*q + 8 = -a*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0361 - 198391168\nAnswer: -198391168.0361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4139240 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/o**(-3\/5))\/o)\/o*o))**(20\/9)*o**(-26)*o\/o**(1\/5)*o)**(-1\/33) assuming o is positive.\nAnswer: o**(1049\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5726 - 229*y**3 - 5726.\nAnswer: -229*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 53*d**4\/12 + 19*d. Let j(v) = -2*v. Determine k(j(a)).\nAnswer: 212*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149\/4 - -36. Which is the nearest to -1? (a) -4\/5 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:09 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:29 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 10, -53\/8, -7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 16. Let l be -10 - -8 - (0 + -3). Suppose 0 = 4*j - 27 - l. Let g be z(j). Put -2, 1, g in decreasing order.\nAnswer: 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56365.84 millilitres in litres?\nAnswer: 56.36584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0055*4.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 194.34 - -6.926. Let m = y + -0.266. What is the second smallest value in -1\/2, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3, -5, -14142 in decreasing order.\nAnswer: 5, -1, -3, -5, -14142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/(3*4\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4\/(-30) + 244003312\/7140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253388 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000115989 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72507869354 + 72507869354 + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2 - 2718*s + 0*s**3 - 3*s**3 + 2727*s + 6 + s**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdh when three letters picked without replacement from dpkdpkhphpd?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 12. Let l be f(-12). Suppose l = -7*i + i + 120. What is the remainder when 79 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77880300 rounded to the nearest one hundred thousand?\nAnswer: 77900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1871 + -1815 - (2 - -70)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(1065 + 6 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**36))**(2\/13)*(y*y**10)**(20\/9) assuming y is positive.\nAnswer: y**(2212\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3046659*d. Let i(j) = -9*j**2. Give l(i(w)).\nAnswer: 27419931*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*g, 194 = -4*v + 4*g - 3*g. Let l = v + 94. Calculate the greatest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-9))\/(2\/(-9)). Suppose 2*t = -r*g + 65 - 230, 0 = -5*t + 2*g - 365. Let o = t - -133. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*c - b - 2, 2*c + b = 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwqa when four letters picked without replacement from awnjq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 3*l - 5 + 0. Let b(g) = -2*g**2 - 4*g. Let y be b(-3). Is d(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/634 + 5193\/585182. Which is bigger: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(-2\/3)\/k*k))**(-1\/3)*((k**(-1)\/k)\/k)**47)\/((((k\/(k*k**(2\/7)*k)*k*k*k)\/k)\/k)**(2\/17)*(k\/k**(-1))**(1\/73)) assuming k is positive.\nAnswer: k**(-11066752\/78183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + ((-150)\/24 - -1) + (-3)\/(-12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**3\/3 + 5*i**2\/2 - 2*i + 1. Let v(a) = -3*a - 16. Let c be v(-7). What is d(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421439 divided by 7?\nAnswer: -421439\/7","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -11*y**4\/12 - 26*y. Let c(h) = h + 0*h + h. Give w(c(u)).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 20. Let q be 2\/8 + 135\/o. Solve -m = -3*b + q, 0 = -2*m - 2*b - 5 - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0.43. Let r = 3.875 + 1.055. Let h = w + r. Which is the second biggest value? (a) 3 (b) h (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 924?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1372) + 0 + (sqrt(28) - (sqrt(700) + sqrt(28)))*1.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -126, -19\/111?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 7*q**2 + 13*q - 22. Let n be ((-390)\/50 + 9)\/((-3)\/(-20)). Give p(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 25, 3 in ascending order.\nAnswer: 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -4, -114, -59, -5 in increasing order.\nAnswer: -114, -59, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 1 - 6. Suppose 3*c = 7 + 5. Calculate the remainder when t is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -187, -579, -1161, -1915, -2823, -3867, -5029?\n\"Answer: 3*k**3 - 113*k**2 - 74*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1\/1) + 2. Solve -b - 4*c + 5 = c, b = -n*c + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*h**5 - 108*h**5 + 192*h**5)*(-9 + 18 - 6).\nAnswer: 621*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + -10 + (-6)\/6. Let b(n) = -6*n + 13. Let h(m) = m - 2. Let t(l) = s*b(l) + 4*h(l). Determine t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 173673 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 286004313 a multiple of 2571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 + 0*k**3 + k**3 - 2*k**3 - 24*k**3 + 6*k**3 + k**3 + k**3 - 3*k**3 + (1 - 6 + 3)*(3*k**3 - 5*k**3 + k**3).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 5 - 2) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k + 8. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(13)*-3 + 1)**2.\nAnswer: -18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348515 is divided by 271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 8. Let c = -4284 + 4287. Solve -4*k = x + f, -c*k + 0*k - 3*x + 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 2*p + 4 - p + 7*p. Let g be j(8). Suppose g = 4*i + i. Solve -5*q = 4*c - 18, -5*q - 5*c + i = -0*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375552029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 35 = -5*n, 114*n = 4*q + 151*n + 54 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.93912 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.11, 3, -1, 1\/344, -8, -1\/3?\nAnswer: 1\/344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5478703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 divided by -2?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 223 divided by -30\nAnswer: -223\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -19*t - 7. Give q(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2549230*h**2*j + 16203122*h**2 + h*j**2 - 2*j**2 wrt j.\nAnswer: 2549230*h**2 + 2*h*j - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.8716 or -3?\nAnswer: -1.8716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*z + 10*z**3 + 2*z**3 + 166*z wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69915227*3.\nAnswer: 209745681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -151939.99 and -9\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17\/(-3))\/(6\/72*-4). Calculate the highest common factor of 272 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.33 in 2\/13, 1239, -10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 100*g + 318. Let h be j(36). Solve 5*u - h = 5*a, -3*u + 11 - 1 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 - 437580*x**4 - 15955917114*x**3 + 31913146980*x**2 - 15956792283*x = 0. What is x?\nAnswer: -72931, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -2\/9*c**2 + 2\/27*c**3 + 8 + 0*c + 1\/18*c**4. Factor v(z).\nAnswer: 2*z*(z - 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 15*c**2 - 13*c + 18. Suppose -q + 23 - 7 = 0. Let p be n(q). Suppose -16 - 14 = -5*j. Calculate the highest common factor of p and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**2 - 5338499*w - 40996049 with respect to w.\nAnswer: 4*w - 5338499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1*-1)\/((4260\/71)\/(-60))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/9)\/(-4) + 14\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w - 30 = 0. Let t(k) = -2*k**2 + 12*k - 17. Let j(s) = -3*s**2 + 18*s - 25. Let g(z) = -5*j(z) + 7*t(z). What is the units digit of g(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmm when three letters picked without replacement from pppppmpppppmp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h - 4*h. Suppose 3*m - h*m = 1. Solve 0*y + 2 = y, -m = 3*f + 4*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6006 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 762\/23*u**2 + 144\/23*u + 126\/23*u**4 - 216\/23 + 10\/23*u**5 + 518\/23*u**3 = 0.\nAnswer: -6, -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyyff. Give prob of picking 2 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.542 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-3 - -9)\/(-2). Suppose 0 = a*x - 5*v + 17, 2*x + 14 = 3*v + v. Which is greater: x or 5\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 26*m + 12. Let x(j) = 5*j + 6. Let g be x(-3). Let s be h(g). What is the greatest common factor of s and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2576170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(sqrt(5) + 0).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -49*c - 7. Calculate u(-3).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144860 - 977.\nAnswer: 143883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-4)\/(-344)). Let k = -42 - d. Is 2 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4593 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(90\/5))\/(3\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*i - 21*i + 119*i + 85*i + 2*i + 2*i - 2*i + (-2 - 3 + 3)*(2*i + 3*i - 3*i) + 2*i - 4*i + i - 3*i + 3*i + 2*i as k + o*i and give o.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10360 + -7361. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263.7 - 264. Which is the third smallest value? (a) r (b) -0.4 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**4*m - 30*k**3*m**2 + 458*k**3*m - k**2*m**2 + 57878*k**2 wrt k?\nAnswer: -72*k*m - 180*m**2 + 2748*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 1\/12*u**4 + 0*u**5 + u**2 - 1\/210*u**7 - 1\/60*u**6 + 0*u + 1\/6*u**3 + 0. Factor m(p).\nAnswer: -(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -177109037.\nAnswer: 177109058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*z - 0*z + 30, 0 = -4*l + 12. Suppose 39*v - g - 510 = 35*v, 0 = 3*g - z. Calculate the greatest common factor of v and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*k**3 - 175*k**3 + 92*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0.04 (b) -0.8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 30. Let z be o(10). Let r be z - 4\/(2 + -3). Let s(t) = 3*t**2 + 7*t - 4. What are the prime factors of s(r)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -149, -303, -459, -617, -777?\n\"Answer: -n**2 - 151*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.96111 - -4.939. Round g to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + -1.4. Let f = 1.3 - i. Let z be -1 + 1 + (-4)\/(-18). Which is the smallest value? (a) f (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -427\/8, -5, 1.\nAnswer: -427\/8, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z - 47 - 300*z**2 + 303*z**2 - 2 + (3*z + z - 3*z)*(-z - 2*z + 2*z).\nAnswer: 2*z**2 + 5*z - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 650 and 23600?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 4, j: 2, w: 1, n: 1, p: 4}. What is prob of sequence mp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -190, -159, -144, -127, -90?\n\"Answer: 3*b**3 - 26*b**2 + 88*b - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.5 (c) -0.14 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14373302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*((-6)\/(-4))\/(-3). Suppose 2*y - 45 = -t*v + 7*y, 0 = -3*v + 2*y + 26. Let j = -8 + v. Put j, -1, 3 in ascending order.\nAnswer: -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from fffftffftffftfff?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2978, -1, -99?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*m + 16, -5*l - 47 = -5*m - 37. Let j = -2 + 5. Let v be -1 + j + (-16)\/7. What is the smallest value in v, -2\/43, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 63, 7355?\nAnswer: 7355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81044649 to the power of 1\/2, to the nearest integer?\nAnswer: 9002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:03 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-10)\/20)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4215)\/150 - -28)*100\/(-12).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*l - 267*l = 12. What is the closest to 0 in l, -1\/8, -3\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 3*h**2 + 3*h + 2. Let u be r(2). Let w(v) = v + 16. What are the prime factors of w(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/4 - g**2\/2 + 30. Calculate r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-3 + -14 - -1)) + 11.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-19 + -1 - (-1445)\/289).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1475.999329 + 1476. Round l to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 11*i + 2. Give u(10).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 1. Suppose 2*z - 9 = -0*h - 3*h, -3*h = 3*z - 9. Sort 4, h, y in decreasing order.\nAnswer: 4, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 59136*z + 177418. What is y(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.3*1085.\nAnswer: -26365.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50285 and 713.\nAnswer: 35853205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j - 32*j - 41*j + 81*j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 + 45*t + 48907. Is n(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-253)\/506*(-18)\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894178897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104111 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 33*s - 4565. Determine v(138).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46360 by 2318.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p - 4*p)*(-67*p + 11*p**3 + 67*p) - 2*p + 2*p**4 + p**2 + 2238 - 2356 + p**2.\nAnswer: -20*p**4 + 2*p**2 - 2*p - 118","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/8 + -4)*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15228478 + 0.019?\nAnswer: -15228477.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -22*s**2 + 1 - 646*s**3 + 21*s**2 + s + 643*s**3 - s. Calculate n(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33242 (base 5) to base 14\nAnswer: bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/6)\/((-123)\/369)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86971\/1250376 - 75\/1966. What is the common denominator of z and 7\/1060?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + p = 3*p + 4, 4*m = -2*p + 4. Let v = 39 - 214. Let d be (-20)\/v + (-8)\/(-28). What is the nearest to 1 in d, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.167, 2\/9, 3?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -38*v**2 - 3158*v - 343. Determine a(-83).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -u + j + 16, -u - 11 = 4*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/249 and -44\/660375.\nAnswer: 54811125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - b?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47499273, -94998544, -142497815, -189997086, -237496357, -284995628?\nAnswer: -332494899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 46093830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = -5340. What are the prime factors of c?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = c - 5*d + 1, 0 = -4*d + 16. Suppose -c = -w - 4. Let p = w + 2. Solve 2*o + 0 = p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*10368\/(-1080)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16756 - -8670. Is f at most as big as -8086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*(-15022)\/148?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8613ad - -4d?\nAnswer: 86141c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54649 and 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + (14 - -9) + -25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -456 divided by -27664\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 8:32 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -3\/2*n**7 + 0*n**6 + 0*n**2 + 25*n + 0 + 0*n**5 + 0*n**3 - 103\/12*n**4. Find the third derivative of d(h) wrt h.\nAnswer: -3780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from bcibcbywwc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 5*a - 55 - 50 + 105.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -823*d + 4. Let f(r) = 9050*r - 45. What is 45*a(m) + 4*f(m)?\nAnswer: -835*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*1\/(-6)*3. Let d be (x - 2) + 2 + 1. What is the biggest value in -0.2, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2721 - 16325\/6. Let j(q) be the second derivative of 1\/72*q**4 + 3*q + 1\/36*q**3 + 0 - z*q**2. Find g, given that j(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2526)\/(-42) + (165\/168 - (-22)\/(-176)))*1\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 10 = 5*r. Let i(g) = -2*g**3 + 3*g**2 + 7*g + 2. Let p(x) = 3*x**3 - 2*x**2 - 8*x - 2. Let t(w) = r*i(w) + 3*p(w). Give t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 5615?\nAnswer: -5614.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3420148785.\nAnswer: 3, 5, 29, 521, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 - 3*q**2 + 3*q. Let h(r) = -44*r**3 - 34*r + 14*r**2 - 21*r**2 + 41*r**2. Give -6*h(d) - 68*j(d).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 45. Let q = f - 31. Let c = 11 - q. Put 4\/7, 0.4, c in ascending order.\nAnswer: c, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3*o**2 + 78*l**3*o + 35*o**3 wrt o?\nAnswer: -8*l**3 + 210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2091 and 55\/427958.\nAnswer: 1283874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 - 136*d**4 - 588*d**3 + 856*d**2 + 586*d - 720 = 0 for d.\nAnswer: -5, -1, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.2, -1, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 21. Let i(d) = -2*d**2 + 20. What is -2*i(p) + 3*m(p)?\nAnswer: -2*p**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*c**2)*(-4*c**2 + 2*c**2 - c**2) + (-10*c - 7*c + 21*c)*(-c**3 + 5 - 5).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w - 3. Let c(k) = -5*k - 3. Let z(h) = 7*c(h) - 6*r(h). Let m(l) = l**3 - 4*l**2 - 5*l - 10. Let d be m(6). Suppose 7*a + d = -a. Calculate z(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w - 1. Factor -81*x**4 + 83*x**4 - w*x**2 + 2*x**2.\nAnswer: 2*x**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 515, 2659, 6439, 11855?\n\"Answer: 818*v**2 - 310*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 5) in base 9?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 + u**3 - 3*u**2 + 9*u**2 + 32 - 46 + 6*u. Let b be d(-10). Suppose 4*x - b = -6. Solve -5*a + 7 + 3 = 5*m, 0 = x*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.41678g in tonnes?\nAnswer: 0.00006941678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 + 3*k + 27. Is b(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((6*(-2 + sqrt(11)) - sqrt(11)) + 5 + 3).\nAnswer: -20 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 + 4636*i\/11 - 9280\/11.\nAnswer: 2*(i - 2)*(i + 2320)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4036, -8062, -12088, -16114?\nAnswer: -20140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2\/3*l**4 + 0 + 0*l + 4\/3*l**3 - 2\/3*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.14025 + -2.14. Round i to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1)\/(3 - 1). Suppose c + 3*o + 6 = -4, -2*c - 3*o - 8 = u. Let p(f) = -4*f**2 + f**c + 2*f**2. Let q(h) = 2*h. What is p(q(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2452 and -73\/228.\nAnswer: 139764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 19*o**2 - 121*o - 133. What is the remainder when x(-9) is divided by 104?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 11*h**2 - h + 13. Suppose a - 4*f = -f + 10, -5*a = -2*f - 24. Suppose v - 24 = 4*w - 64, 40 = a*w + 3*v. What are the prime factors of o(w)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774123 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3. Let y(i) be the first derivative of 0*i + 0*i**2 - 8 + 0*i**3 + 1\/4*i**4. Let f = -984 + 979. Give f*z(a) + 6*y(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 508064 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1. Suppose 950*b - 911*b = 117. Let t(x) = x. Determine b*t(j) - 2*l(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 24*k - 40.\nAnswer: -2*(k - 10)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/2 of a day?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Suppose 4*x - 5*x + 24 = 0. Calculate the remainder when x is divided by (-25)\/w - (-2)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 + 1141610*i**3 + 325826339148*i**2 + 4561344995256*i = 0. What is i?\nAnswer: -570798, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -336) + (-4 + 13 - 15). What is the third derivative of -a*t**2 - 159*t**4 + 119*t**2 + t**3 + 108*t**2 + 0*t**3 + 110*t**2 wrt t?\nAnswer: -3816*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (357\/68)\/(-7)*(-35)\/21?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 396227*q. Let g(v) = v. Determine g(p(d)).\nAnswer: 396227*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3035, 6059, 9075, 12083, 15083, 18075?\n\"Answer: -4*v**2 + 3036*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 9*o + 2*s + 16, -o + 2*s + 12 = 0. What is the second derivative of 1 - 6 - 6*g**o + 60*g**2 + g wrt g?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/6 + 2*y. Suppose n - 6 = -2. Let t(o) = -4*o + n*o + 2*o. Determine t(m(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeg when three letters picked without replacement from {s: 1, y: 1, e: 3, a: 6, g: 1, v: 5}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 114521500 (base 6) to base 15\nAnswer: 2d3499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 1567343970 + 6262677290. Suppose 300197874 + b = 8*d. Round d to the nearest 1000000.\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**3 + 5*b**2 - 3. Let o(d) be the third derivative of 7*d**6\/120 - d**5\/15 + d**3\/2 + 3*d**2 + 2*d - 497. Determine 7*o(y) + 6*s(y).\nAnswer: y**3 + 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 + 18 = 52*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a12 + -5?\nAnswer: -a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 6 + 5)*(-1 + 0 + 3)*(-2*u - u + 2*u).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)*a*(a\/(a*a*a**(-2\/21)))\/a*(a**(1\/4))**(-3\/43) assuming a is positive.\nAnswer: a**(-14167\/3612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/2291 - 5339\/1163828. Is 1 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-1312)\/48)\/41*(-486327)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032487 rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = -15. Sort n, 5, 3 in descending order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 + 4 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 7\/2392, 0.02, -2, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000149376 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-9) + 1\/(1 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3 = d - 0*d, 2657*g + d - 33 = 2649*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 43\/7 + (16 - 16 - 6). What is the smallest value in 2, w, -3\/7, -4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 441*r**5 - 561*r + 2.\nAnswer: 8820*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1))**(2\/77))**(1\/41))**(6\/17) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from drqqarcrcrqaajrqqjr.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 5*l + 10, 0 = 3*y - 4*l - 5. Let v(f) = -7*f**3 - f. Calculate v(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 128.995. Round s to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 208532.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 30 = 9*t. Calculate the greatest common divisor of 50 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-6)\/16)\/(60\/(-40)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15469685 = 59*l + 15475880 for l.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-47)\/(235\/(-2)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 483?\nAnswer: 5\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36294117226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = 332. Suppose 0 = 5*m + 12 + p. Let b = m - -22. Solve 2*x + b = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g**2 - g - 21*g**2 + 5*g - 17*g**2 + 609.\nAnswer: 9*g**2 + 4*g + 609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) -3 (c) -0.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43496 - 1.\nAnswer: 43495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, j: 5, v: 6, q: 4}. What is prob of picking 4 q?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 11}. What is prob of sequence jjj?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*w = 1 - 6, -w = 2. Let c(u) = 43*u**2 - u - 1. What is the remainder when c(d) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176355905 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnninntlnimntiion. What is prob of sequence tno?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -53, -103, -173?\n\"Answer: -10*z**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 175 - 365 = 0. Let m = h + -36. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 3*a + 4. Let k be 1\/((2\/(-6))\/1). Let q be m(k). What is the lowest common multiple of 47\/7 + (-4)\/q and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14\/5)\/h**(2\/5))**(-4\/7) assuming h is positive.\nAnswer: h**(64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010001011101 + -10110100100?\nAnswer: 101111010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/312338 and -87\/1561690?\nAnswer: 1561690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(19) + sqrt(76)*-2 + (sqrt(152) + sqrt(152) + sqrt(152) + sqrt(152)*1)\/sqrt(8) + (0 + -1 + sqrt(19) + 2)**2)*-6*-2.\nAnswer: 36*sqrt(19) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -24*m**2 + 47*m + 40. What is a(3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 6. Let m be t(4). Sort -6, m, -4 in descending order.\nAnswer: m, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -0*u. What is the second derivative of -5 - 2*l + u - 6*l**3 wrt l?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-8)*(-5 + 1). Suppose 5*v = 5*d + 100, 4*v + 2*d + 0*d = 74. Let x = v - 16. Are x and f non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:41 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(30\/34) - -3)*25\/10. Let z = -3 + 4. Put z, -2, u in decreasing order.\nAnswer: z, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 363779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16880 and 0.6.\nAnswer: -16879.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 26526*n**3 + 11.\nAnswer: 26526*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let w = 790 + -787. Give s(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 40*t**2 - 40*t + 116. Differentiate q(m) wrt m.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*k = 259 - 341, -4*n = 2*k - 96. Solve n*l - 18*l = 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 0*t**3 + 0*t**3 + (4 - 4 + 2*t**2)*(-3*t - 4*t + 5*t) + 0 + t**3 + 0 + 37*t**3 + t**3 + 2*t**3.\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -16*n + 2*a - 25, 0 = 2*n + 5*a + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:22 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + f - 2*f)*(0 + 6 + 0)*(6*f + 0*f + 0*f) as p*f**2 + c*f + z and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5114026 to two decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4)*(-4 + 4 + q) + 3*q - 3*q - q + 105*q - 573*q + 189*q + 89*q to w*q + x and give w.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*o - 416, 2*v = -6*o - 2*o + 436. Calculate the least common multiple of 32 and v.\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2469\/2 (b) -2\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -0.1 (c) 2\/15 (d) -2 (e) -0.619 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a meter in millimeters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*l - 0*l - 118, -y - 51 = -l. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.4163ml in litres?\nAnswer: 0.1544163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 8*f**2 + 4*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 6*w + 2. Let s be m(3). Is 782 + (-3)\/(-1) + s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 1\/8, -14 in ascending order.\nAnswer: -14, -2, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 79861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 215179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -252620.5625 to the nearest one thousand.\nAnswer: -253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530 and 87420.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33885.713 times 10?\nAnswer: 338857.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4 - 568*n**3 + 1124*n**2 - 560*n = 0. What is n?\nAnswer: 0, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -5*b - 3*p - 4, -p - 2 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac - -313b?\nAnswer: 321a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58067881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 + 190352*w - 2264617744 = 0. What is w?\nAnswer: 23794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**5\/((f*f\/(f*f**(2\/23)*f))\/f*(f\/f**(-1\/12))\/f) assuming f is positive.\nAnswer: f**(-5243\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129.1 + -124. Let m = -12 - -17. Let d = m - j. What is the nearest to 1 in 1\/2, d, 2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**3 - 533917511 + 266958764 + 266958747.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 5*x**4\/12 + 1228*x. Let q(r) = 831*r + 1. What is t(q(o))?\nAnswer: 3452805*o**2 + 8310*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y. Let k(o) = 6*o**2 + o**2 + 0 - 4*o**2 + 3 + o**2. What is i(k(p))?\nAnswer: -32*p**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6143127 or 6143128?\nAnswer: 6143127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 + 377912*u + 214226219616.\nAnswer: (u + 1133736)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-56) + (-36)\/21. Calculate the remainder when 78 is divided by 44 + t\/(6\/6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63128 is divided by 7891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l = 195*l - 40*l + 12096 for l.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 21*f + 126, 2*n + 52*f + 18 = 49*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c**3 + c - 1. Calculate r(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*c = -666 - 3411 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.31 + 0.19. Let p = 1.6 - h. Sort -18, p, 0.3 in ascending order.\nAnswer: -18, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 1. Let g(f) = -4*f**2 - 15 + 3*f**2 - 5*f**2 - 15*f. Let y(o) = g(o) - 15*j(o). Let k(i) = 3*i**2 + i**2 - 2*i**2. What is k(y(v))?\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -78 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j - 9. Suppose 15 = 5*y - 15. Let l be s(y). Suppose 0 = -4*f + l - 13. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 128 = 4*v, 3*v = 7*v - 3*w + 152. Let o = -2 - v. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 826 = -11*u + 18*u. Does 59 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 1. Suppose -a + c + 25 = 0, -x*a + 3*a + 45 = 3*c. What is the smallest common multiple of 4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 4 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*f + 2468 - 23037 = 144*f for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 3 = -11*v + 25*v. Put v, -1, -4, 5, -13 in increasing order.\nAnswer: -13, -4, -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-23))**(9\/4))**20 assuming h is positive.\nAnswer: h**(-945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16523955.\nAnswer: 3, 5, 7, 52457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*4\/504*35*(-37)\/(-370)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 7*j - 7. Let p be x(5). Solve 0 = h + 2*l, -4*h - 7 - p = 3*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -961*o**4 - 98332*o**3 - 13269805*o**2\/4 - 147210075*o\/4.\nAnswer: -o*(o + 27)*(62*o + 2335)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1323927 and 5841?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18*b**2 + 1. Let r(n) = -5*n**2 - 8. Calculate q(r(s)).\nAnswer: -450*s**4 - 1440*s**2 - 1151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105.12 + 107. Let r = q + 0.12. Which is the closest to -2\/7? (a) -5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 + -67. Calculate the remainder when r is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -735 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -1.49?\nAnswer: 4.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101100112 + 2?\nAnswer: 1101100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2218\/21 or 1\/3?\nAnswer: 2218\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007708841 to five dps.\nAnswer: -0.00771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12381\/91 < 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 + 11*o + 7. Let r be z(-5). Let d = -1077\/2 + r. Let t = -1396\/7 - -199. What is the common denominator of d and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(1\/(6\/(-80)) + 0). Let h = 44 - c. Solve 2*u + 10 = -h*d, -3*u + 2*d + 3 = -6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 2. Let m = 6 - 6. Let n be p(m). Determine q, given that 0*q**n + 0 + 0*q**3 + 0*q + 2\/3*q**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssa. What is prob of sequence sa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, x: 2, c: 3, f: 3, a: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*h + 1)*(0 + 0 + 2)*(-6*h - 4*h + 2*h).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 10*f - 80 + 145 = -6*v, -3*f = v + 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1982b?\nAnswer: 19833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2 - 2216280*r + 245594851920 = 0.\nAnswer: 221628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*p + 496*p = -128*p + 30130 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*d - 54 = 0, -284 = -3783997*o + 3783999*o + 12*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(66) - -2*sqrt(66) - sqrt(66))*4)\/(6*2*(sqrt(864)*2 + sqrt(864) + sqrt(6))).\nAnswer: -10*sqrt(11)\/111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -469258 < 0.075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4479458, -4479459, -4479460, -4479461, -4479462, -4479463?\n\"Answer: -a - 4479457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1334.56 + 1371. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-7)*1818 - (-92)\/322.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 282\/(-94) - (-8667 - (1 - 1)). Suppose -18*p + 26*p - w = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 104. Suppose -72 = 3*u + 5*i, -4*u - 28 = -i + 68. Let v be r(u). Solve z + v*w - 17 = 4*w, 3*w = 2*z + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzvjjpjzbbzzzbj. Give prob of sequence pbpz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768201097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383770 is divided by 356?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5468 = 10*p - 8*p + 2*q, -2*p + q = -5465. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 32*w + 126 = 0. Suppose 4*k - 9*k + 2260 = 0. Is (k\/10)\/(w\/45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*s + 28 + 59 = 0, -525 = -5*i - 5*s. Suppose 0 = -4*n + 3*d - 0*d - 5, -n + 2*d + 5 = 0. What is the units digit of (i\/n)\/((-38)\/95)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238375418?\nAnswer: 2, 29, 4109921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.027*-292.\nAnswer: -2343.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8497)\/290 + 32 - 21\/63*(2 - -7)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*m**2*p*s**2 + 2*m**2*s - 271*m*s**3 - 2*m*s**2 + 1552287*p*s**3 + 8*s**3 + 20 wrt p.\nAnswer: -5*m**2*s**2 + 1552287*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1274*b**3 - 1283*b**3 - 1262*b**3 + 3821*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b. Let d(t) be the third derivative of t**7\/420 - 17*t**4\/6 + 13*t**2. Let r(u) be the second derivative of d(u). Give r(n(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from lddljdhdtdltjdllhdd?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from ckfyihy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1651 - -1676. Let m(r) = r**2 + 5*r + 7. Calculate the remainder when m(6) is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 883771 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 193160 = -10460. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Suppose 2*y - p*c - 5 - 13 = 0, c = 5*y - 29. Suppose 2*u - 2*z = 12, -y*z - 4 + 14 = 0. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqqqqaqqqqqaqqqqaqq. What is prob of sequence qaqq?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 156*l - 154*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8 - 2) + (-5 - -2) + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-654*11\/363 - -20)*70?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 - 2*p - 65 - 153 in the form o + y*p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 160*z - 84. What are the prime factors of k(2)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*w + 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-35)\/(-56)*16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 649968740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/110 - -1\/10. Which is the third smallest value? (a) 4 (b) 7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = -2. Let m be (-3)\/o - 108\/(-45). What is the second derivative of -4*k - k**3 + 7*k**3 - k**m wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89738093 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 4. Suppose 4*i - 656 = -5*f + f, 0 = y*i + 4. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (2 + sqrt(108))) + sqrt(192) + 0)**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2092 + 2087. Sort 12, m, 3\/2, -2\/15 in decreasing order.\nAnswer: 12, 3\/2, -2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:06 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = z - 31. What is the remainder when 49 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 172484664 - 5?\nAnswer: 172484658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 650*g - 244*g + 2 - 2 - 267*g.\nAnswer: -1161*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -5\/3, 0.6, 4, -5\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 6*x - 8. Let j = 71 + -46. Calculate the remainder when a(-11) is divided by ((-36)\/30)\/((-3)\/j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61000 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + 0 + 0 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028613 rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 17, l: 2}. Give prob of sequence pppp.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = m - 1464, -5*m - 6 = -1. Let n = p + 322. Let c = 27 - 11. What is the remainder when n is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + 6. Suppose -k*g + 7 = -8. What is the second biggest value in g, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 u, and 1 v when four letters picked without replacement from xqxxxxuxvuqxx?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/126 - 12\/63*11\/(-22). Sort 2\/9, y, 0.19, -0.1.\nAnswer: -0.1, y, 0.19, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 25. Let r be l(7). Let p = -4 + 9. Let o(z) = z - 2. Let n be o(4). Put p, n, r in ascending order.\nAnswer: r, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 20. Calculate the remainder when 86 is divided by t(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**2 - 128*z + 1024 = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from cscsscsssc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + ((sqrt(7200) - (sqrt(7200) + sqrt(7200) + -1))*-3)**2 + -3.\nAnswer: -1080*sqrt(2) + 64806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqfqfhqqfqfqqfffffq. What is prob of sequence hff?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.034 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/15 - 364\/(-30). Calculate the highest common factor of k and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5681738277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.72333 nanometers to kilometers.\nAnswer: 0.00000000009572333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -309.\nAnswer: -4\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.877 + 53.88. What is the closest to -1\/4 in 3\/2, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*s + (0 - s + 0)*(-2 + 2 - 2) + 387*s - 74*s + 135*s + 424*s)*(0 - 12 + 5 - 2*s**2) to the form m*s**2 + b*s + f*s**3 + a and give f.\nAnswer: -1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/75994847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57605 and 37925.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*c - 5 = 121, -2*j + 270 = c. Let o = j + 347. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26350, 105414, 237190, 421678, 658878?\n\"Answer: 26356*y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 1 - (-5 - -7). Suppose i = -2*o + 3*o. Solve o*l = -2*l + u - 9, 0 = -5*l - 2*u - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 152 + -9)*(-25)\/(-3). Suppose 1815 + q = 10*t. What is the remainder when t is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1172642 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 - -105. Suppose r*d + 0*z - 769 = 5*z, 4*d + 3*z = 1577. Suppose 5*f - 980 = -2*t - 3*t, 4*t = -2*f + d. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 15. Are r and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -971, -975, -989, -1019, -1071, -1151, -1265, -1419?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*k - 44885 - 791 = 0, k + 30444 = 2*a. What is the lowest common multiple of a and 11?\nAnswer: 167420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467.6 rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 8*y + 3. Put -1, 0, y in ascending order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349595 divided by -5?\nAnswer: -69919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -3)\/5*1. Suppose 2*a - 3*a = b. Solve -3*t + 3*j = -a*t - 6, -10 = -5*t + 3*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*g = -130, -6*b + 2*g = -2*b - 244. Suppose -w + b = -6*w. Let f = 0 - w. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10624668 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i - 35. Let s(h) = -h - 8. Calculate s(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 3*h - 30. Let a(r) = r**2 + 20*r - 7. Let i be a(-20). Give y(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, x = 4*x + q - 288. Let a = -39 + x. Let r = 105 - a. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -775.\nAnswer: -775.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/5 + 164*g\/5 + 64 = 0 for g.\nAnswer: -80, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/12 - l**3\/2 - 3*l**2\/2 + 3. Let r(p) be the second derivative of q(p). Let c = -7 - -4. What is r(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 43*y = -1848. What is y rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -996.419 rounded to zero decimal places?\nAnswer: -996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 0 - 2 - 2 + 5. Let m(i) = i. Suppose -2*w = -3*a - 14 + 2, 0 = -4*a - 5*w + 7. Calculate a*m(u) + t(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**4\/12 + 4*l**3 + 26*l**2 + 36*l. Let c be j(26). Let -5\/4*d**4 - 7\/4*d**5 + 0 + 1\/2*d**3 + c*d + 0*d**2 = 0. What is d?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.95 - 0.54. Let f = 0.15 - r. Let v = 0.4 + f. Round v to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/3*99\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:58 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (1 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3685, -3702, -3745, -3826, -3957, -4150, -4417, -4770?\nAnswer: -5221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from llcclcullllccllccll.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -934, 5, 3034, -1, 2, -5.\nAnswer: -934, -5, -1, 2, 5, 3034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -38. Suppose -7 = -3*r - 4*p + x, -r + 5*p + 3 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v - 24. Suppose -9 = -5*j + 41. Calculate the smallest common multiple of j and (165\/v)\/(3\/2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:26 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4080)\/187 + 8 + 14. What is the nearest to 0 in z, -0.77, -0.2, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10601 or -7\/12?\nAnswer: 10601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (sqrt(171) - ((sqrt(171)*-2*-2 - sqrt(171)) + sqrt(171))) + sqrt(171)))\/(sqrt(36)\/sqrt(64)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 1, g: 2}. Give prob of sequence gg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 43. What is the greatest common divisor of q and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2*n - 3917*n**2 + 70*n**2 - 7.\nAnswer: -3847*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -1. Let m = a - -69. What is the highest common divisor of m and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 20*o**2 + 41*o - 7. Let g be y(-7). Suppose 8*r - 6*r - 2*u - 28 = g, -5*u = 3*r - 26. What is the remainder when 20 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 - 2)*(3*t + 0*t - 2*t)*(-6 + 4 - 1)*(-36 + 28 + 28)*(1 + 1 + 1) to the form a + x*t and give x.\nAnswer: 2340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (11 - -2) - (-2 + 8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from {d: 14, s: 5}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -30 (b) 13 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*y + y + 2 = 0, 2*y + 14 = 4*h. Let a(j) = j**2. Let m be a(1). Suppose 2*r - m = h. Solve g + 4 = r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 540256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21 and 5\/769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.075 - -25381.7\nAnswer: 25382.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.9 or -676\/35643?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10016, 2 in increasing order.\nAnswer: -10016, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125b50 (base 12) to base 11.\nAnswer: 195922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwkww. Give prob of sequence kkw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 175651024229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 r when four letters picked without replacement from {g: 3, n: 5, w: 1, r: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 591, 1282, 2229, 3420, 4843, 6486, 8337?\nAnswer: 10384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29162, -29164, -29166, -29168?\nAnswer: -29170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1452.23.\nAnswer: 1452.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(363) + -1 + sqrt(363) - sqrt(363)) + 2 - (sqrt(15)\/sqrt(605)*6 + -4).\nAnswer: 3 + 115*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**4\/8 - 2*h**3\/3 - h**2. Let p(w) = 16*w + 21. Let z = -1 + 3. Determine z*p(l) + 11*x(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 4\/5, -1, 1.18, -0.2.\nAnswer: -74, -1, -0.2, 4\/5, 1.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-715)\/117)\/((-4)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 21*v = -928. Suppose -3*z = 5*s - v, -5*z = -s - s + 167. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/13859 (b) 33 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and (-4)\/42 + 7854434\/5439?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(4 - 6\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*-6*6*(-2)\/18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 1\/2 (c) 194.5 (d) -1\/12 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o**5 + 77*o**5 + 5 - 13 + 18*o - 8*o**5 wrt o?\nAnswer: 1220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 3, 2\/15, -187.5, -205?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 43 (b) 5 (c) -1\/4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*r + 8*r - 12558. Let y = -393 - r. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 3)\/(5\/(-10)). Let h be (a*1\/(-1))\/(6\/21). Find the first derivative of 6*x + h*x - 3 - 10 - 5 wrt x.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 168 = -4*x, 56 = -3*k + 4*k - 2*x. What is the greatest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -0.6, 5, -4, -3\/8149, -1?\nAnswer: -3\/8149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a + 9. Suppose 2*d - 94 = -5*u, 0 = 5*u - 4*u - 4*d - 10. Let x be u\/(-8)*24\/(-9). Determine o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**4\/4 + s**3\/3 - s**2\/2 - 2*s - 1. Let y be w(0). List the prime factors of 770\/49 - y\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010110011010110 (base 2) in base 7?\nAnswer: -1132412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(330\/(-88)))\/(336\/(-40))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 + -0.7. Let t = z + 4.2. Sort 0.1, t, -5.\nAnswer: -5, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039876 to 5 dps.\nAnswer: -0.00399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 97*t**2 - 2*t - 22. Is l(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*h - 5 = -1, -o - h = 0. Suppose -o*q + 5*j = 6, j + 10 = -3*q + q. Let c be 0\/(0*(3 + q) - 1). Are c and -2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 13*k**2 + 17*k - 12. What is g(12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1064*i - 1586. Calculate the lowest common multiple of 5785 and j(-4).\nAnswer: 34710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21623\/97344 - 1\/10816. Let j = -10.9 + -0.1. Which is the closest to m? (a) 3 (b) j (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 18*a - 21. Is g(24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.107 - 3.893. Sort 2\/5, r, 0 in ascending order.\nAnswer: r, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438 divided by -3.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1112*z - 1480 wrt z.\nAnswer: 1112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2726092249 to the power of 1\/3, to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(48222\/(-285))*8\/30?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 5)*(2 + 2*c - 2) - 1 - 2*c + 1)*(587*c**2 - 88*c**2 - 286*c**2) - 4*c**2 + 4*c**2 + 2*c**3.\nAnswer: 2558*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4964861526 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 153, -1\/4, -2\/9, -0.1 in descending order.\nAnswer: 153, 0, -0.1, -2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 = 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2227844*d**4 + 8*d**2 + 413014.\nAnswer: 53468256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3206 + -5092. Let v = 1798104 - s. Suppose -2*g + v = 3*w, 3*g - 1799985 = w - 4*w. What is w rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + l - 12 = -3*u, -u - 3*l + 11 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**3 + 38*o**2 + 18*o - 13. Is a(-8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845197.\nAnswer: 845197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4169083607 to the power of 1\/3, to the nearest integer?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 e when four letters picked without replacement from zzzzezzzezzz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271429322 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261975480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 9*s + 5. Let u(t) = -t**2 + 8*t - 4. Calculate 2*g(k) + 3*u(k).\nAnswer: k**2 + 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*(2 - -19). Let j = r + 12. Let 9\/4*l**4 + 0*l + 7\/4*l**j + 1\/2*l**3 + 0 + 0*l**2 = 0. What is l?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3234\/(-4))\/((-333)\/222)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.7913l in millilitres?\nAnswer: 605791.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:55 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205778983.6 less than 549.3?\nAnswer: -2205778434.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/7 (c) -76 (d) 468\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 293357\/3 (b) 0.3 (c) 2\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*y = 9, -o - 4*y = -2 - 5. Put 5, 1, 3, o in descending order.\nAnswer: 5, 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 13*p**3\/3 - p. Let c(n) be the third derivative of -n**4\/4 + 45828*n**2. What is c(v(b))?\nAnswer: -156*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrdddrdrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18387491.\nAnswer: 18387491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02455924 times 0.2?\nAnswer: 0.004911848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-18 - -13) + (-4 - -6 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.11051 and 0.7.\nAnswer: 0.58949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7836, 7922, 7998, 8010, 7904, 7626, 7122?\n\"Answer: -9*l**3 + 49*l**2 + 2*l + 7794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3820? (a) -1 (b) 0.5 (c) -8278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 - 1 = -j, 0 = -4*j + c + 1. Suppose j = 2*y - 55 - 9. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {x: 8, b: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.477 + 0.337. Let a = s + 17. Round a to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 26*a + 109. Let q be w(21). Solve -5*u - 4*g = -5*g - 3, 0 = -2*g + q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + -4. Let h = -10 - y. What is the first derivative of -10*f**3 + 6 - 3*f**h + 5 + 3*f**2 wrt f?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -67. Solve s + 8 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*l - 5*l. Let y be -2*(-4)\/l + -1. Solve -6 = 2*p - q + 3, y = -p - 4*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648537*-22.\nAnswer: -14267814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*u + 110 = 107, -2*u + 2 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 147 = -2*x + x, 0 = -4*x + 2*c + 638. Suppose i = -8*i + x. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318090 and 2530?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 48\/5 of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5202 + 10659. List the prime factors of d.\nAnswer: 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 + 13*c + 15. Let u be i(-10). Let r = 524 + u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 1\/2, -62.3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (7 - 11) + 2. Let p be (-286)\/819 + f\/((-54)\/(-4)). Let l be (-2)\/7 + (-33)\/105. Which is the closest to 0? (a) p (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*v)*(5 - 3 + 3)*(1 - 1 + 5)*(2*v + 1 - 1).\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1057 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 14*m - 6. Let h(c) = 127 - 125 + 6*c - 9*c - 2*c. Give 4*d(l) + 11*h(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.6 - 8. Let l = 1.806 - 0.006. Let j = m - l. What is the closest to 2 in j, -3, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepppepbpdppdppb. What is prob of sequence bp?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 0.4, 3, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 444 = 15*f. Solve 4*j + f = -d, -5*d - 12 = -j + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:46 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. What is the tens digit of ((-1)\/g)\/((-2)\/44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v - 325 - 145 = 0. Let q = -1 + -4. List the prime factors of (q + 8)\/(6\/v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 - 59*q**4 - 276*q**3 - 320*q**2 + 224*q + 432.\nAnswer: -(q - 1)*(q + 2)**3*(q + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Suppose 3 = -2*j + s*j. Suppose j*l = -0 + 3, 2*v + 5*l = 7. Solve 3 + v = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 42*n + 7 = -18*n - 21*n, 8*v = -4*n + 56 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3074?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 5*l + 2. Let d be z(3). Suppose -4*s = -d*s - 14. Let p = 29 + s. Are 15 and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -229 + 244 + 401 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198507943?\nAnswer: 347, 572069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1536*x + 3065. Give p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.37485 decades?\nAnswer: 0.0437485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*u + 33, 19*d + 0*u + 42 = 29*d - 4*d + 4*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from wwwwnnw?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/784 and -71\/40.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.930458 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v, 4*q - 64 = -0*v + 4*v. Let r be 3\/(-9) + q\/6. Solve -x = l + r*x + 3, l + 5*x + 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22381320?\nAnswer: 2, 3, 5, 13, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/1*(-2)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Suppose -5*a - 6 = -1. Let g be u(a). Solve g*i = -0*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -24) + (-460 - -486)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -536 - -539. Suppose 15*j**x - 18*j - 7*j + 60*j - 10*j - 80*j**2 = 0. What is j?\nAnswer: 0, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**2. Let q(d) = -498*d. Calculate q(c(o)).\nAnswer: 3486*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3202*o**2 + 38382*o - 382. Calculate j(-12).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2454230.\nAnswer: 2, 5, 19, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*n + 24, 0*n + 2*i + 12 = 2*n. Let p(c) be the second derivative of 5\/12*c**4 + 5\/6*c**3 + 0 + c + 1\/20*c**n + 3\/2*c**2. What is p(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c - 5065 + 4076 = -4605 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 5. Let f(y) = -y**3 + 16*y**2 - 15*y + 7. Let t be f(15). Let k(s) = 2*s + 2. What is t*k(g) + 3*a(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59551\/2 + (-459)\/(-34) + -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from ysjsrbss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + g - 5*g = 176, -4*l + 361 = g. Suppose -5*v = -30 - l. What is the lowest common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 53*q + 24. Suppose 2*y - 3*y = -5, -2*x = 3*y - 27. Let i be v(x). What is the greatest common divisor of i and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36744 - -36742. Sort 3, 1, j, 1917 in increasing order.\nAnswer: j, 1, 3, 1917","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*b**3 + 36367 + 0*b**2 - 36309 + 0*b**2 with respect to b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185250777 or 185250776?\nAnswer: 185250776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 823052 + 3.6\nAnswer: 823055.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 14 + 3 = q, 2*q + 2*p = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22, 103, 260, 499, 826, 1247, 1768?\n\"Answer: g**3 + 32*g**2 - 22*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -20 - 35. Let s(q) = -q**3 + 9*q**2 + 1228 - 1235 - 4*q**2. Determine s(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1577.8, 1\/8, 1 in increasing order.\nAnswer: -1577.8, -4, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(sqrt(1584) + -2)*-4 + -2 + -2.\nAnswer: -96*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 14. Suppose 3*q + 4 = a*q. Suppose -67 = -q*c + 51. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1430691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Suppose 3*x - r*j - 60 = 0, -2*j = -4*x - 0*j + 76. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 259\/(-148) - 135\/(-20). Sort 5\/4, 7, 0.2, v in decreasing order.\nAnswer: 7, v, 5\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*i - 18*i - 9*i**2)*(39*i - 104*i + 36*i) + i**3 - 3*i**3 + 0*i**3 as m*i**3 + j + x*i**2 + t*i and give m.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 6*m - 24. Let r be (2*26\/(-32))\/(3\/m). Is 7 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - t)*(3 - 1 - 1)*(-230 - 22 + 40) to s + q*t and give q.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/664)\/((-16730)\/(-6692)).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2452 + 630 = -85*k - 4313 for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 2, 4447.\nAnswer: -33, 2, 4447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose -4*g = -2*d + 6, 3*d - 3*g + 13 = 5*d. Solve -5*p = -d - h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9168 and 91\/20829696.\nAnswer: 20829696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/10 - 5*w**4\/24 + 41*w**3\/3 - 17*w**2 - 1. List the prime factors of t(9).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 5*t**2 - t. Let p(r) = r - 3. Let l be ((-2)\/(-5))\/((-8)\/40). Let m be p(l). What is g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2078912784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126.5 + -126.4999097. Round j to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1)*p)**(-46)*(p*p\/(p*p\/(p*p\/(((p\/p**(-4))\/p)\/p)))*p*p*p*p)\/p**(-2\/3) assuming p is positive.\nAnswer: p**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36502 - 36502 - 172*a to the form x + h*a and give h.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -614, -1221, -1828?\n\"Answer: -607*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 79. Let h(x) = -12*x + 396. Let f(s) = -5*h(s) + 24*p(s). Is 5 a factor of f(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6996 and 237228?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100190430 * 2.\nAnswer: 200380860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*j + 16, 4*j = 6*j + d - 6. Suppose -4*v + j*h + 48 = -20, -2*v + 32 = -3*h. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.0280262 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 1032 = -4*v - 1068, -v = -3*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2 + -4. Let j = -142 - -166. Suppose -15*n - j = -9*n. Which is the third biggest value? (a) n (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -884 + 1024. Calculate the smallest common multiple of t and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180420 and 48390?\nAnswer: 291017460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-66514)\/21)\/((-12)\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 23*o**2 - 55*o - 3. Calculate w(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186216182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 1271031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 2, e: 1, b: 2, d: 1, v: 2}. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {i: 1, e: 2, t: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {w: 1, e: 2, k: 4, p: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282714, -564820, -846940, -1129080, -1411246, -1693444?\nAnswer: -1975680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 218 - 702 = 0. What is the greatest common divisor of q and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7908 to two decimal places.\nAnswer: 1.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((128\/(-96))\/((-80)\/140))\/(3\/99).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187120958.\nAnswer: 2, 107, 874397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 0.3, -1\/4, 2\/29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((20\/36)\/5). Let c = -14 + w. Let m = 2\/215 + -3661\/645. Is c smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*v, -13*v = 5*l + 14 + 15 - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29247\/14 + 2090. Find the common denominator of -103\/14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = 3*p - 11, p + 5*v = 10. Solve 9*k - 6*k - 15 = p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 60*k**2 + 365*k - 2599. Let f be h(65). Let o = 6179\/29 + -213. Are o and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z**3 - 15*z + 15*z)*(-z - z + z).\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 10*i - 13. Determine n(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d**2 + 86*d**2 - 40*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47\/9 + 44\/9. Suppose 2*l - 21 = -17. Let b = 0 + 0.2. What is the nearest to l in d, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -1\/420*f**6 + 4\/21*f**3 - 4 - 1\/70*f**5 + 5\/2*f**2 + 0*f**4 + 0*f. Let b(i) be the second derivative of n(i). Factor b(k).\nAnswer: -2*(k - 1)*(k + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = 2*l - 2, -l + 18 = 1210*k - 1205*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-15) + (0 - 3\/(-10)). What is the closest to f in 1, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -43\/6*h**3 - 5 - 3*h**2 + 0*h + 2\/3*h**4. Differentiate c(k) with respect to k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*u - 16 = 0, -2*q + 66 = u + 1. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) 92 (b) 4 (c) 3 (d) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -286\/94099 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 14 = 2*v, 5*g - 72 = 5*v + 28. Suppose -5*j + 10 = 0, -5*d - 3*j + 752 = -7*j. Let m = d + -8. What is the highest common divisor of m and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8) + -1 - 1440\/384?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 2*m - 7. Is y(7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 540*u**2 - 35904*u - 73984.\nAnswer: -2*(u - 136)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -8. Suppose 37 = 5*f - 38. Find the third derivative of f*n**5 + n**2 - m*n**5 - n**5 wrt n.\nAnswer: 540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y - 3*v = -20*y - 16*y, -2*v = 6*y - 44 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:11 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 54*t**2 + 24*t + 732. Determine v(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572371 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-88) - (-10)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**(-6\/13)*z*z**(1\/34) assuming z is positive.\nAnswer: z**(1543\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 - 6 = 0. Suppose -m*i - 2 - 2 = -5*u, i + 3 = 3*u. What is the derivative of -10*l**3 + 9*l**3 - 2*l**i - 23 wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36734 or -36733?\nAnswer: -36733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -1 - 35\/(-7). Suppose 31 = 4*y - f. Solve 0 = p - 15 + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfcffkkckf. Give prob of sequence kkk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 15. Suppose -2*n = -x*n + 15. Suppose n*c - 2*c - 18 = 0. Calculate the highest common divisor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9809*l + 48808. What is p(-5)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 = -7*r. Is -2 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 540913 and -4?\nAnswer: 540917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 84295.\nAnswer: 84295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -13*y + 7*y - 428059. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 129*h + 62*h + 63*h + 76 = 0, 4*h = -3*t + 76 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 12. Let j = 1306.43 + -1306.83. What is the biggest value in l, 1, j, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let k be (-4 + 2 + 3)*3. Suppose v = -5*j - 0 + 16, -k*j + m*v = -7. Put 0, j, -2 in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-297)\/22*(-42)\/((-1302)\/31)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 30 = -34*c. Solve s + 2*r + c = 0, -2*s + 7 = -6*s + 3*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/3))\/(u**(-5)*u*u))\/((u**(-2\/11)*u)\/(u\/(u**1*u))) assuming u is positive.\nAnswer: u**(61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from uvoohuholho?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 310\/9 smaller than -3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37512, 36775, 36038, 35301, 34564?\n\"Answer: -737*s + 38249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**5\/420 + 9*p**4\/56 - 15*p**3\/7 - 2470*p**2. Factor u(v).\nAnswer: (v - 3)*(v + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 54 - 6 - 21*n**2 + 16*n - 23*n + 14*n. Let p be d(19). What is p rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 4, q: 1, i: 1, a: 8}. Give prob of picking 1 i, 1 l, and 1 q.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*y = -1346*y - 623 - 12490 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8070*s**3 + 19*s**2 + 7*s - 32. Let y be k(-16). What is y rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356828 divided by -4822.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46864b + -2?\nAnswer: -46864d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*n**5 + 21*n**4 + 4*n**2 + 229610*n wrt n.\nAnswer: -6540*n**2 + 504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o = 0. Suppose -5*v + 10 + 10 = o. Solve -2*s - v = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 2*m)*(0*m - 3*m + 2*m) - 2*m**2 - m**2 + 2*m**2 + m**2 + 0*m**2 + 0*m**2 - 17*m + 30*m**2 + 17*m.\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52863495 to the nearest integer?\nAnswer: 7271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*i**2 - 1535*i**2 + 640*i**2 + 0 + 0.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*l**3 - 2601*l**2 - 3*l - 976553?\nAnswer: -39*l**2 - 5202*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b2237a - -5?\nAnswer: -3b22375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*p**4\/4 - 3755*p**3\/4 + 2525*p**2 - 1265*p = 0. Calculate p.\nAnswer: -253, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(300)*-2) + 5 + (2 + sqrt(300)*2 - sqrt(300)) + -4 + 1)**2.\nAnswer: -1440*sqrt(3) + 24364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9751542+188410.2\nAnswer: 9939952.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1336 and 51603.\nAnswer: 412824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g**3 + 31*g**2 - 15*g - 9. Let s(v) = 7*v**3 - 21*v**2 + 10*v + 6. Let z(r) = -5*f(r) - 7*s(r). Is z(8) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 261 = 5*t, -5*x - 3 = -8*x. What is the highest common factor of 371 and t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.04876 decades to centuries.\nAnswer: 2.904876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1148876486 rounded to four decimal places?\nAnswer: 0.1149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*n - 23 - 7 = 0, 25 = 5*f - 2*n. Let t(d) = -d**2 + d + 2. Let i be t(0). Suppose -f*r + 18 = -i*r. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206 + 181. Suppose -l = 4*c - p, l + 2*c - 375 = c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 2.9. Let o be (-48)\/56 - (-783)\/203. Which is the fourth biggest value? (a) 5 (b) n (c) o (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 15521?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -55, -117, -213, -349?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 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 5767317, 23069268, 51905851, 92277066, 144182913, 207623392?\n\"Answer: 5767316*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15930 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 143275708 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -1812 = -1812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 1. Let v(y) = y**3 - 18*y**2 - 33*y + 3. Let i(j) = 5*d(j) + v(j). Is 6 a factor of i(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11 = -1. Suppose 5*d - 2*x = -506, 5*x - 45 = -3*d - 330. Let t = d + 102. Solve 3*p = t*p + s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Let d(c) = c**3 - 11*c**2 + 6. Calculate the least common multiple of s and d(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 809, 810, 811, 812?\n\"Answer: g + 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24*((1 - -29) + 0). Suppose -r = -5*z - 2*q, -4*q = -5*q. Suppose 0 = 5*x - 3*x - z. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w**(3\/7)\/w)*w*w*w)\/w))**(10\/7) assuming w is positive.\nAnswer: w**(-180\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*t**2 - 175*t**2 - 162*t**2 - 3*t.\nAnswer: -272*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q = 55. Suppose -4*l + 5 + q = 0. Suppose -5 = -10*x + 15. Solve 5*m + 15 + l = -r, -4*m - 14 = x*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 6) to base 7\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*k**4 + 2*a**3*k + 2940*a**2*k**2 + 117*a*k**3 wrt k.\nAnswer: 48*a**3*k + 702*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2375 and -137\/16720?\nAnswer: 418000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {h: 1, s: 1, d: 1, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 46915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 4. Is b(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 205.16817ns?\nAnswer: 0.0000000034194695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5005 is divided by 237.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, -1\/4, 34, 97, 0.13, -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 4*n**2 + 6*n - 3. Give i(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23420 and 160427?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 - 64 - 154 + 2*a - a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 35*v**3 - 8*v**2 + 4*v - 5. Let f(z) = 72*z**3 - 20*z**2 + 8*z - 12. Give 5*c(h) - 2*f(h).\nAnswer: 31*h**3 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 2.509.\nAnswer: -2.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 0.3. Let t(r) = 4 + 4*r + 4*r + 8*r**2 - r**3 + 8. Let h be t(9). Sort b, h, -2\/7.\nAnswer: -2\/7, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven fifths of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10 - -66*(-348)\/(-18).\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {i: 1, z: 1, q: 1, k: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*(58 + 27448\/(-470)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623249 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 43*g - 24*g + 54*g to the form s + r*g and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**3 + 328*b**2 + 200*b + 277. Give y(-65).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4661656482.\nAnswer: 2, 3, 7, 269, 412609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 123*a**2 - 39*a + 21. Does 11 divide s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -537\/5 - -108. What is the third smallest value in -0.02, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 26. Sort 0, 11, d in decreasing order.\nAnswer: 11, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31698.24 rounded to the nearest one hundred?\nAnswer: -31700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 5. Let z be (-1)\/(-2 - 20\/(-12)). Suppose -4*i + 4*k = -16 - 4, -z*i = 4*k + 6. Let p = -4 - i. Calculate y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10248, 10214, 10150, 10050, 9908, 9718?\n\"Answer: -n**3 - 9*n**2 + 10258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/46*(-2)\/3*-27\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2715693 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1069763475 by 161425.\nAnswer: 6627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3 - k*l + 6043*k - 35341*l + 1 with respect to k.\nAnswer: 6*k**2 - l + 6043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 - 880*j**4 + 27752*j**3 - 210620*j**2 - 27750*j + 211500 = 0 for j.\nAnswer: -470, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 18 - 6 = -4*z, 0 = -3*z - 3*b - 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -27*h - 8*h + 276. Solve -3*m = 5*r - 0*r + h, 2*r - 9 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102*((-18540)\/(-612) - 31).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krcsc. Give prob of sequence csc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8\/3)\/h)\/(h\/(h**10\/h))*(h\/(h\/((h*h\/(h\/h**6)*h)\/h)))**(-2\/13) assuming h is positive.\nAnswer: h**(127\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -286*z + 44. Let u(h) = -19*h + 3. Let l = -2646 - -2602. What is l*u(b) + 3*c(b)?\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 215827111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -28 - -44 - 19) + 17.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 0 (c) 8\/5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (858 + -864)*(1 - (-13)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/45*(-54)\/(-84).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**3 + 4. Let r(w) be the first derivative of 0*w**2 + 0*w + 2 + 2\/3*w**3. Give r(l(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320396 is divided by 180?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2 - 444 + 444 - 10*a wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 + 8*i - 8. Suppose -5*v - 38 + 148 = 0. Suppose -8 = -3*x - 2*w - 0, 0 = -2*x + 2*w + v. Give l(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 2596 = -10*w - 101*w - 25*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*t - 2*g, 3*t = -4*g + 4 + 3. Let m be -1 - -3*5\/13. Which is the nearest to t? (a) m (b) -0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, -3, -1.7, -68?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(1089)*-1 - sqrt(1089)).\nAnswer: -sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o - 4*x - 4, 5*o = x + 19. Suppose f - 3*l = -3*f + 692, 540 = 3*f + o*l. What is the greatest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 134 = 2*i - 6*i, -38 = k + 2*i. Let r be k\/30 + (-2)\/(-5). Let y = -3621.6 - -3622. Which is the nearest to -0.1? (a) r (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -0.2, 6.0082, 0.5?\nAnswer: 6.0082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(28\/(-12))\/7)\/((-20)\/(-24)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-360)*3*35\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 31*w + 67 + 11 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -619, -1232, -1843, -2452, -3059, -3664?\nAnswer: -4267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2, 11, 0.04?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n**6\/n)\/n)\/n**(-6))\/(n**6*n\/n**(-1)))**17)**(-35) assuming n is positive.\nAnswer: n**(-1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 3*a - a + (-7*a - a + 3*a)*(-5 + 0 + 1) - 4*a - a + 3*a in the form w*a + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + 0.32. Which is the second smallest value? (a) 0.1 (b) 4 (c) i (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p**(-1\/6))\/p*p)\/(p*p\/(p*p**(1\/5))))\/((p*p*p**(-5\/2))\/p*p**(-2\/5)) assuming p is positive.\nAnswer: p**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78188 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.35834 minus 433971?\nAnswer: -433973.35834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.2, -4, -5\/6, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4994295513.\nAnswer: 3, 17, 107, 613, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k + 2. Let l(i) be the third derivative of i**4\/24 - i**3\/6 + 518*i**2. Give -5*l(y) - o(y).\nAnswer: 5*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332 - 334 - 336 + 1321 - 318 + 3*n + 0*n.\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Let p(f) = 57*f**2 + 4. What is c(p(k))?\nAnswer: -3249*k**4 - 456*k**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1262 - 41*b - 129*b - 1207 with respect to b.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146030 divided by 14603?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 626.347 + -14.447. Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtdxlwdq. Give prob of sequence ddlq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 350 - 4 = 42 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (480\/(-190))\/(-12)*19. Which is the nearest to 1\/3? (a) j (b) 0.4 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 14.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 5*g**7\/147 - g**6\/35 - g**5\/35 + 11*g. Factor d(v).\nAnswer: 2*v**3*(v - 1)*(5*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13234 and 92638.\nAnswer: 92638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*y - 3*v + 59, -v - 101 = -5*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158022*n**3 - 685315*n**3 - 440861*n**3.\nAnswer: -1284198*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 9 - 3*c**2 - 11 - 4*c. Let f(o) = -o**2 + 2*o + 1. Suppose 4*a = a + 27. Determine a*f(b) + 4*n(b).\nAnswer: -b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 793439 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from lxlxllxxllslx?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7100428 nanometers to millimeters.\nAnswer: 0.0000007100428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -26.8905.\nAnswer: 107.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 6630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2 + (2 - 1 + 1)*(-3 + 0 + 1))*(2*k + 3*k - 3*k)*(-105*k - 9*k**3 + 105*k).\nAnswer: 108*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 770 = 405 + 385 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43964032 to the nearest integer?\nAnswer: 6631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10\/15 - 0)*1112\/(-64) and 11\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38510587.\nAnswer: 19, 31, 151, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44380813 is divided by 1004.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 14*p + 4. Let v be i(-10). Let w = v + -24. Let g = -18 + w. Let r(b) = -4*b. Calculate r(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 75*g**2 + 106*g + 75. Let b be j(36). Suppose 0 = -3*l + 8 - 2. Solve 0*h - 5*y = -l*h + 31, -3*h = -b*y - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeepeeeeeeee. Give prob of sequence ee.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-242625)\/(-252330))\/((-5)\/(-2))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*h - 9*h + 4*x + 11, 5*h = 5*x + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(2 - -3) - -114. Let a = h + -106. Solve c = -y + 1, c + 4 = a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5101783000 rounded to the nearest 1000000?\nAnswer: -5102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**3 - 2*m**2 - 4*m. Let s(t) = -5*t**3 - 2*t**2 - 4*t. Determine 4*a(k) - 3*s(k).\nAnswer: -k**3 - 2*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s + 2. Let c = 7648 - 7637. What is the smallest common multiple of c and b(4)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -0.2, -44, 2\/15 in increasing order.\nAnswer: -44, -0.2, -0.07, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3630*r**2 + 729682*r + 10452.\nAnswer: 2*(r + 201)*(1815*r + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 times -0.1424142\nAnswer: -0.37027692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 6*i**2 - 6*i - 5. Let f be -1 + -2 - (2 + 0). Let g be l(f). Let k be 3\/4*(g - -4). Solve 0 = -k*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54852674 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 5*c + 21. What is the remainder when 12 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 11. Determine c(16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 70*n - 646. What are the prime factors of k(44)?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 19. Let c be s(9). Suppose p = -5*m + c, -4 + 0 = 2*m. Calculate the remainder when 37 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 828 and 7636?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 5871940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-9)*(1 + -4). Is r > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 - -196. Let a(y) = 3*y + 82. Let u be a(w). What is the greatest common divisor of 91 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 - 75*c**2 + 138*c = 0. What is c?\nAnswer: 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*g + g + 6, 0 = 5*m - g + 3. Factor 12*i**5 + 0*i**2 - 13*i**5 + 2*i**4 + i - 2*i**2 + m*i**2.\nAnswer: -i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 46.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2)*((4 - 1 - 20 + 2 - 3 + 0 + (0 + 2 - 4)*(4 + 1 - 6))*(-39 + 39 - 7*l) + 0*l - 5*l + 2*l) to the form f + h*l and give h.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 909*s**4\/4 + 3365*s**3\/4 - 20173*s**2\/4 + 5691*s\/4 = 0?\nAnswer: -7, 0, 271\/909, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -529814.\nAnswer: -1\/264907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -839*y**7\/105 + 3299*y**3\/6 - 141*y**2 - y + 9. What is the first derivative of v(r) wrt r?\nAnswer: -6712*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3 + 72*l**2 + 132*l + 64 = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:50 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2) + 1 + 7 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 10:19 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**3 + 3 - o**4 + 4 - 17*o**3 - 376*o**2 + 377*o**2 - 9 - 13*o in the form y*o**4 + z*o**2 + g*o**3 + u + h*o and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4075 = -7529*j + 2747 + 707 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 1. Let z(v) = 9*v + 2. Let j(i) = 4*d(i) + z(i). Differentiate j(c) with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16759898?\nAnswer: 2, 41, 313, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkmmkmkdmdmmmmkk. Give prob of picking 2 d, 1 k, and 1 m.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 6*j + 1. Let l(v) = 4*v**2 - 5*v + 2. Let t(b) = l(b) + 3*n(b). Let m be t(-13). Solve -m*g = -15, c = 3*c + 4*g - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 1039)*(1 + 21\/(-15)). Let f = -406 + c. Solve -21 = f*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 5. Let x = -7 + w. Suppose x = -k + 1. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56421400 to the nearest 1000000.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.262, 0.3, -5.53, -3\/4 in decreasing order.\nAnswer: 0.3, -3\/4, -1.262, -5.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 1 = 3*m. Let k be (-111)\/63 + (-4)\/m. Let g = 125\/14 + k. Find the common denominator of g and -46\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7840, 7938, 8118, 8386, 8748, 9210, 9778?\nAnswer: 10458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)*(j\/j**(2\/5))\/j)\/((j\/(j\/(j*j**(-2\/7))))\/j)**(1\/11)*(j\/j**(-1)*(j\/j**(3\/4))\/j)\/(j**(-2\/3)\/j)**(-9\/8) assuming j is positive.\nAnswer: j**(-4309\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74741\/6 or 12457?\nAnswer: 74741\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/14*(-4)\/39. What is the smallest value in m, -0.2, -0.49?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 869959 or 869906?\nAnswer: 869906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 9:13 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -842, -832, -818, -800, -778, -752?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*(sqrt(1377) - sqrt(1377)*-5) - (sqrt(1377) - ((sqrt(1377) + 1 + sqrt(1377) - sqrt(1377)) + sqrt(1377) + -2)))*2)**2.\nAnswer: -936*sqrt(17) + 930852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 14. What is u(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2196626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**3 - 6*a**2 - 2*a + 3. Let m(d) = -5 + 5*d - 2 - 6520*d**2 - 9*d**3 + 6531*d**2. What is -5*j(r) - 2*m(r)?\nAnswer: -2*r**3 + 8*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -91?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311471003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -181, -0.23, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*b - 24 = 0, 19 + 4 = 3*q - 4*b. Suppose 2*u = 2*z + 38, -z - 4 = q. What is the remainder when 96 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41547*c*r**2*x - c*r*x + 4*c*x - 141*c + 106*r**3*x + 19*x - 22 wrt r?\nAnswer: 83094*c*r*x - c*x + 318*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26024 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 2*w**4\/3 - 8*w**3\/3 + 3*w**2\/2 + 8*w. Let b be x(12). Suppose -2*t = t - b. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/61 (c) -2121 (d) -3\/2 (e) -5 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 3, 0.3, 489, 16?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607, -5420, -18631, -44440, -87047, -150652, -239455?\nAnswer: -357656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17.1 and 53860193195.\nAnswer: 53860193177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*o - 30 = 4*o, 68 = 4*v + 2*o. Suppose 4*t - 4*u - v = 0, t + t + 2*u + 4 = 0. Solve m + 4 = -t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-272)\/418 + 2808\/5148.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4995917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 387 by 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 27*q**3 - 16*q**2 + 121*q - 1146. Is v(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0*b - 24*b + b**2 - 3 + 14*b. Let c be v(10). Let j(s) = -s. Let x(q) be the second derivative of q**3\/3 - q**2 + q. Give c*j(k) - x(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*n - 15, g - 5 = 2*g + 5*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 16. Let a(z) = -43. Let u(f) = 39. Let h(q) = 5*a(q) + 6*u(q). Let k(b) = -5*h(b) + 6*j(b). Let o(i) = -2*i - 5. Give 4*k(v) + o(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3389904 divided by -18?\nAnswer: 188328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*p - 23704, -2*p = s - 3*p - 23702. What is s rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 18. Let m = 0 - -13. Let f be q(m). Let p = 37 - f. Calculate the remainder when 94 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = -b, b - 3*b + 2*a + 18 = 0. Suppose -b*n - 271 = -2*m - m, -3*m = -3*n - 270. Suppose 4*d = 79 + m. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1422 (base 14) in base 12?\nAnswer: -16845a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -499*f**6\/2 - 871*f**2 - 1443. Find the second derivative of c(l) wrt l.\nAnswer: -29940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10303285*r**3 + 123921647*r?\nAnswer: -61819710*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488 (base 9) to base 4.\nAnswer: 12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.927464ns in microseconds?\nAnswer: 0.002927464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(304)*5 - sqrt(19))**2 - ((sqrt(1539)*-2 - sqrt(19)) + 2).\nAnswer: 19*sqrt(19) + 6858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Let w be (2 - m)\/(2 - (-2)\/(-2)). Let g be ((-1)\/w)\/(2\/20). Solve u - g = -2*t, -3*u - 4*t + 8 = -5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by -5\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f + 40 = -4*t, 3*f = -2*t - 20. Suppose -13*y - 2105 = -2144. Put 0, 5, y, t in descending order.\nAnswer: 5, y, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 9 = 3*d, 24*g - 18 = 3*d + 28*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.2, 1, 3, 0.478, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4416*o**2 - 288*o**2 - 7773*o**2 to the form y*o**2 + b + m*o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-14)*(0 - 2). Which is the closest to 0.2? (a) 6 (b) 1\/10 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-2 + 1)*1. Suppose -g*k - k + 18 = 0. Suppose -x + 2*z = k, 3*x + 3 = z - 0. Solve 2*s + 2*s + 12 = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -581 - 581. Suppose -3*h + 6 = -0*h. Suppose -h*g - 2*g = -4*l + 2264, 2*l + 4*g - f = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 9*t + 20. Give z(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/1315, 2, -2\/19, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1210)*1)\/(sqrt(200)\/sqrt(10)) - (0 + (sqrt(200) + 0)*2))**2.\nAnswer: -87*sqrt(2) + 859\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 488 + 493 = 5*z, 3*l = -5*z + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 10*d - 1. Let u be k(8). Suppose i = -10*w + 8*w + 6, 4*i - 5*w + u = 0. Factor 2*r**2 - 2\/3*r**4 + 0 + i*r + 4\/3*r**3.\nAnswer: -2*r**2*(r - 3)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 1243*a**4 + 1243*a**4 + 4*a**2 - 7*a**5)*(2 - 2 - 1).\nAnswer: 7*a**5 - 2*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9339244000 rounded to the nearest one million?\nAnswer: 9339000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1174*y**3 + 8219*y**2 + 21*y - 134. Give q(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 485\/(-4)*1442\/(-245). Let a be (-1)\/2 + (-5 - (-159952)\/224). Let x = j - a. What is the common denominator of x and -37\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d**2 + 0*d**3 + 8 - 2*d**3 + 0*d**3. Let h be w(0). Calculate the highest common divisor of 56 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2.7. Let h be (-36)\/(-48) + 54\/(-64). Let q = h - -91\/288. Which is the third smallest value? (a) x (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -55647497 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 21 + -8 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -282, -632, -1122, -1752, -2522?\nAnswer: -3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*a = 12, -2*a + 7 = 2*q + 1. Let i be (6 - (4 + 0))\/(2 - 3). Let d be (i - (-175)\/90)\/((-2)\/21). Is d greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768572468 divided by 1.\nAnswer: 768572468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 810.8938 milligrams?\nAnswer: 0.0000008108938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1164131, 2328264, 3492397, 4656530, 5820663?\n\"Answer: 1164133*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/11 + 378*y\/11 - 376\/11 = 0 for y.\nAnswer: 1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 - 48*a**3 - 90*a**2 - 44*a = 0 for a.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 558*c*z - 22595810*c - 2*z**3 + 6270*z**2 with respect to z.\nAnswer: 558*c - 6*z**2 + 12540*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21866 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 10*l**2 + 34*l**2 - 8*l**2 - 6*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -3 + -1 - 2. Let j = 20 - k. What is the common denominator of 83\/16 and 2\/4*j\/(-5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.259137 rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6701 - -9424. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -574 greater than -7452\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**3 + 3*y**2 + 37*y - 225. List the prime factors of l(7).\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136677 is divided by 402?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 0. Let m(g) = -g - 2*g**2 - y*g**3 + 2 + g**2 - 3 + g**3. Suppose -5*o - 4*h - 17 = 0, -4*h = -2*o - 2*h + 4. Calculate m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 2418, 5440, 9700, 15216, 22006?\nAnswer: 30088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 u when four letters picked without replacement from {a: 2, s: 3, i: 1, n: 1, u: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2036 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(48))\/sqrt(2))\/(sqrt(8) + (sqrt(8) - -6*sqrt(128))).\nAnswer: -5*sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1233\/98 + -53\/49. Let m(k) be the first derivative of -26 + 0*k**3 + 0*k - o*k**2 - 21\/4*k**4. Find the second derivative of m(q) wrt q.\nAnswer: -126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 + -53. Suppose -33 - u = -5*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*1)\/(-31 + (-27136)\/(-368) - 43)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9655 = 326*w - 325*w, 3*l = 4*w - 38675. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28881205?\nAnswer: 5, 5776241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 10 + 59. Let x = 40 - v. Let g = 24 - x. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -256567\/35 - -7331. What is the third biggest value in 8, -2\/11, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 - 59. Let m = c + -101. What is the greatest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-3 + 10 + -7)) + -2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137578 + 138922 = -48*a for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcbcsbbbbpc. Give prob of sequence psb.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - 0.07. Let x = 76.1 - 76. Let j = x + g. Which is the closest to -2? (a) -2 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3524*f - 1677*f - 1721*f)*(2*f - 2*f + f**3).\nAnswer: 126*f**4 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 27724416*d - 96080405317632 = 0. Calculate d.\nAnswer: 6931104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:23 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2870541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 356*f + f**2 + 0 - 358*f - 4 + 3*f**3. Calculate z(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1181 - -1183. Solve -y*s = -w + 3*w - 18, -w = 4*s - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*h + 33, 0 = 4*w + 4*h + h + 9. Let p be (-1)\/(3 - w\/2). Let j be (p - 1)*(-30)\/4. Solve 0 = o + 4*o + j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -737, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567285 is divided by 166?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 932 divide 75362862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 643600 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -40*b + 240. Let l be t(-23). Calculate the greatest common divisor of 40 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -20. Suppose -2*i + s + 12 = 0. List the prime factors of 299\/i + (-8)\/(-28).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**2*s**2 - 26*r**2 + 274*r*s**2 + 1000*s**2 + 280 wrt r.\nAnswer: 4*r*s**2 - 52*r + 274*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000485793 rounded to seven decimal places?\nAnswer: -0.0000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 1)\/(2 - 3). Suppose 0 = q + 2*q. Let g = 2 - q. Solve 0 = 5*l + g + o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let x(t) = -t - 2. Let q be x(-5). Suppose -q*l + 6*o + 21 = 3*o, 0 = 5*l + 5*o + 5. Let d(z) = -2*z**2 - 3 + l. Give d(k(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - -5) - 9 - (3 + -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58608 and 360.\nAnswer: 293040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*q**3 - 5*q**2 - 76*q.\nAnswer: 42*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-234)*8\/52.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6658736 divided by -4.\nAnswer: -1664684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Let z(b) be the first derivative of 0*b**l + 2\/5*b**5 + 0*b - b**3 + 3 + 0*b**2. Find the third derivative of z(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2)\/6 + 799\/51. Solve 4*k - 2*p = -3*p + r, k = 3*p + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -16. What is the closest to 1.9 in 1\/2, f, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89284 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -91, -2, 0 in ascending order.\nAnswer: -91, -29, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/22 + (-12990)\/297. Let a = r - -44. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 70624*y - 211879. What is u(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5879067.\nAnswer: 3, 1959689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396816 and 10136.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**2 - 25*l - 24 + 5*l**4 + 30*l**2 + 0*l**4 - l**2 + 4 + 25*l**3.\nAnswer: 5*(l - 1)*(l + 1)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188544 and 565632.\nAnswer: 565632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.673746 + -23.77379. Let n = y - -5.1. What is n rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7962 - -7965. Which is the third biggest value? (a) -33\/10 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 18. Let k be (-6)\/(-1 + c + -2). Solve 3*o = -o + 3*i - 2, k*i = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**3 + t**3 - 3*t**3 + (-302*t**2 - 189*t**2 - 1560*t**2 - 2211*t**2)*(3*t - 5*t + 3*t) as n*t**3 + m + g*t + b*t**2 and give n.\nAnswer: -4258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -79 - 3?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 - (-35)\/(-14). What is the remainder when 35 is divided by (-3)\/(4\/x + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -4529.61.\nAnswer: -131358.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {q: 1, b: 9, y: 1, x: 1, k: 2, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*j - 80 = -75*j + 150*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-6 - 12) + 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*3 + -5 + (sqrt(192) + 2 + sqrt(192))*6)**2 - (sqrt(192) - (-3 + sqrt(192) + 2 + sqrt(192)) - (0 + sqrt(192) + 3))**2.\nAnswer: 1616*sqrt(3) + 42477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-18)\/(-4)*(-3 - -12)*(-3858)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/3 + 26*l**3\/3 + 30*l**2 - 50*l\/3 - 500\/3.\nAnswer: 2*(l - 2)*(l + 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -917*u + 380. Is n(-6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -190, -273, -348, -415, -474, -525?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13212 (base 6) to base 9.\nAnswer: -2688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 10. Let y = -31 - -23. Does 6 divide f(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -11 - -4) + 2 + 14 + 0 + -18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2185395, 4370782, 6556169?\n\"Answer: 2185387*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14598 (base 10) in base 3?\nAnswer: 202000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 49016.6788 to the nearest 10.\nAnswer: 49020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - 4*h + 2. Let l = -72 + 80. Suppose l*s - 2*s - 12 = 0. Give x(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.608 + -4.608. Let q = 2 - 1.99. Let g = 3.01 - q. Which is the smallest value? (a) g (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -28. Suppose 5*k + 0*x = -x + 11, 4*k + 5*x = -8. Let m = k - p. Solve -2*c - m = -r, -5*r + 9 + 0 = -3*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-13)*30\/24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 - 745*g**4 - 711*g**4 - 33*g**3 + 48*g + 1495*g**4 - 4*g**2 - 12*g - 35*g**2 = 0 for g.\nAnswer: -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 142?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 649742495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = t. Let x = 0.3 + 4. Let w = 0.7 + x. What is the closest to -0.1 in -0.5, t, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -56, 15.15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21713760 divided by -1774.\nAnswer: 12240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - -18?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*k - 3. Let j be 1 + k - (-1 - 1). What is the smallest common multiple of 9 and (-4)\/(-10) - (-28)\/j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 5*y**2 - 2*y - 4. Let p be x(4). Let c be 81\/36 - 1\/p. Suppose 3*l - 22 = c*l. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 311917\/40510 + 1\/4051. Find the common denominator of (27\/12)\/(24*(-4)\/(-152)) and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/11 + 4476*w**4\/11 + 122216*w**3\/11 + 214068*w**2\/11 - 2623878*w\/11 + 2283120\/11 = 0. Calculate w.\nAnswer: -24, -7, 1, 3, 2265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 16*x**2 + 15*x - 18. Let i be l(15). Let r be 2*(-3)\/i*1. What is the third smallest value in -4\/13, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 3. Let j be r(-7). Let c be j\/(1\/2*-4). Let t(u) = -6*u**3 + 2*u**2 + 2*u + 3. Is t(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/14*(-665)\/(-190)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3880?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 576209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6574*r**2 - 3394 - 6571*r**2 - 5*r**3 + 13145*r**2 in the form s*r + z + d*r**3 + p*r**2 and give z.\nAnswer: -3394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 21*o + 46. Let l(f) = -f**2 - 16*f - 13. Let h be l(-14). Let a be j(h). Let g be 4*1 - (0 + (-170)\/a). Sort g, -1, -3 in decreasing order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zww when three letters picked without replacement from zwzzwzzzz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a + 3 - 3)*(-2 + 3 + 1) + (0 - 1 - 1)*(-1 + 1 - 2*a) + 2 - 2 - 2*a - 7*a + 5*a + a - 8*a + a + 48*a - 3 + 3 - 2*a)*(1 - 1 - a**2).\nAnswer: -42*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/16 + (-4)\/16*18\/12.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 18*g**4 - g**3)*(7 - 3 - 5)*(2 - 4 + 1).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -36 + 3\/8*f + 1\/8*f**3 + 3\/8*f**2. Factor t(v).\nAnswer: 3*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -116, -110?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 36 = 3*n, -6*n - 15 = -2*r + 51 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -16*s**2 + 6*s**2 + s**3 + 6*s - s**2 - 5*s - 4. Let h(a) = 2*a**2 - 5*a - 1. Let p be h(4). Is t(p) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -1. Let i = l + 3.5. Let o = -2.1 + 2. What is the smallest value in 2, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 177, 358, 531, 690, 829, 942, 1023, 1066?\n\"Answer: -y**3 + 2*y**2 + 182*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12)*(-168)\/210.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + b**2 - b + 1. Let k(r) = r**2 - 3*r - 2. Let p be k(3). Let g be z(p). Let x = g - -21. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 15*x = -4*g - 32, 8*x - 458 = 6*x + 90*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 1, p: 1, l: 1, o: 1}. What is prob of picking 1 o and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = u. Let r(i) = -7*i + 5*i**2 - 1 + 4 - 3*i**u + 3*i. Calculate r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 51, -1, -0.2, 9?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x\/(x*((x*x**(3\/11))\/x)\/x)*x))*x)\/x)\/(x\/(x*(x\/(x\/x**(-27)))\/x))*((((x*x**5)\/x*x)\/x)\/x)\/(x*x**(-13)))**(-18) assuming x is positive.\nAnswer: x**(2034\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643.5291 decades to centuries.\nAnswer: 64.35291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516 a factor of 12767689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2208\/15)\/(8\/120*81 + -5). Which is the biggest value? (a) d (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -2. Let z = d - 35. Let m(q) = 3*q**2 - 5*q + 14. What is the units digit of m(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77653570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 - (14 + 1 + -10 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.11 + 0.11. Let m = r - -1.0056. What is m rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.087 + -2.687. Let g = u - -114.6. Let a = g + -157. What is the second smallest value in 5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 22*k**2 - k. Let t = 206 + -204. Let n(x) = 10*x**2 + 3*x**2 - 16*x**t + x**2. Calculate n(a(s)).\nAnswer: -968*s**4 + 88*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*z + 542 = -399*z - 1649 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -60, -73, -86?\n\"Answer: -13*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 28 = n - 73, q - 85 = -n. Let w = -71 + n. Suppose 0 = 2*x - 12 - w. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4190416 or -16761659\/4?\nAnswer: -16761659\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -0*x + 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4905 divided by 5?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 3*x + 84. Suppose x*y - 12*y - 17626 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/35)\/((-112)\/(-1568))*1\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3791 is divided by 148?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + s - 696, 6*d - 2*d - 696 = -3*s. Calculate the greatest common divisor of 1711 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/24 - 6\/(-44). Let j be (2 + 10)\/3*1. Let o = j + -5. Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 6*g**3 + 0*g**3 + 2*g**3 - 6*g**3.\nAnswer: 2*g**3 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/16 and 7\/24*6715\/553?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163106259*m**3 - 2*m**2 - 200*m + 335423?\nAnswer: 978637554*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 391*k - 1. Let u be v(11). What is u rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 362476046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -103.\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k - 8*k - 12*k)*(502 + 506 - 181 - 43 + 518).\nAnswer: -10416*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + t - 1. Let m be u(-2). Let s = -27 - -28. Calculate the highest common factor of s and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1\/6 (b) 2 (c) -2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940839 to the power of 1\/2, to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 5\/3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -2129384\nAnswer: 66010904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ininhnmmijhiun. What is prob of sequence uimi?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35010 divided by 45.\nAnswer: -778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let j(d) = -125 + d + 125. Determine f(j(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2676857?\nAnswer: -4\/2676857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934 - 767 = 81*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 0.5, 215846\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 30024*q + 46987559. Determine k(-1565).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/1)\/((-3)\/53) and 31\/(-4)*(-2)\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*a + 8 = -0*a, 5*r - 2*a = 28. Suppose 7*y - 3*v = 4*y + 5949, 5*v = -r*y + 7941. Is 18 a factor of (2\/(-4))\/((-16)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -31 + 3. Suppose -16 = -2*w - h*m, -m - 15 = -4*m. Which is smaller: 36\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80503775 divided by -3220151?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 200300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1267 (base 8) to base 15.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -3\/47, -0.4, 19\/8, -2, -6, -3\/5?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 8. Let w = -30 + 21. Let k be (-5)\/(-540)*24\/w. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-22)))**(-2\/41)\/((b\/((b\/b**(-9))\/b)*b)\/(b\/(b*b*b**32*b))) assuming b is positive.\nAnswer: b**(-1151\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 12*y**2 - 27*y + 10. Calculate l(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4484013341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - n - 1. Let h be y(1). Suppose 0 = 4*l + h*l - 12. What is the highest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006173 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 25*x**4\/12 - x**3\/2 + 7*x**2\/2 + 22*x. Does 11 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/252915 and 155\/5867628?\nAnswer: 29338140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -165*(-350)\/(-1785) + 32?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 4:38 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -640 - -636. What are the prime factors of i\/(-6) + (-19740)\/(-36)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y**2 + 2*y + 1. Let l be m(-1). Let a = -1 - l. Let x(r) = -r**2 + 11*r - 5. What is the tens digit of x(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197 - 197. Solve 2*t - p - 7 = -x*p, 4*p - 17 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 505*o - 285. Does 13 divide a(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) 3 (c) 0.4 (d) -0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 + y - 3. Suppose 3 = 3*p - 21. Let r = 5 - p. What is the tens digit of u(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, 3990, 2, 0.11, 2\/5 in increasing order.\nAnswer: -4\/15, 0.11, 2\/5, 2, 3990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.4 and -1932.\nAnswer: -1936.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))**6*(c*c\/(c\/c**2)*c)**(-41))\/(((c\/(c*(c*c**7*c)\/c))\/c**(-7))\/((c\/(c*c\/(c*c*((c**9\/c)\/c)\/c)))\/(c\/c**(3\/10)))) assuming c is positive.\nAnswer: c**(-1627\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5360*h*y**3 + h*y**2 - 8*h*y - 9482*y**3 + 12036*y**2 + 10*y + 3 wrt y?\nAnswer: -32160*h - 56892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2508 divided by -3\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14589*o**3 - 36*o + 219?\nAnswer: -87534*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -61. Sort r, -3, -10 in descending order.\nAnswer: r, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*d - 246 = 421*d. Is d greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95493.34 weeks in microseconds?\nAnswer: 57754372032000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-120)\/2*(-112)\/448.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -12216758.\nAnswer: -12216758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let t(g) = g - 7. Let w be t(7). Calculate the smallest common multiple of b and -3*(w\/3 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**3 + a**2. Let y(d) = -2*d**3 + 14*d**2 + d + 3. Let t be y(7). Let k(p) = p**2 - 9*p - 11. Let i be k(t). Calculate v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24155326927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207079995?\nAnswer: 3, 5, 1367, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -352.01 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138 + 651. Suppose -i = -4*k + 1731. Suppose -k = -3*u - 78. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 5*f + 2. Let l be c(-3). Suppose 0 = 5*u, 2*u = 5*j - 2202 - 2533. Suppose 4*s + 40 = -l*a + j, s + a - 226 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 7) in base 6?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1836\/1224)\/(((-510)\/712)\/5) - (-1 - 9)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 4*l**5 - 3*l**5 + (2*l - 2*l + l)*(-12*l**4 - 14*l**4 + 8*l**4).\nAnswer: -21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + (-22)\/(-6). Suppose x*i + 39500 = -2*i. Round i to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 39266?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 136*t**3\/3 - 862*t. Let q(p) = -2*p**2. Give a(q(d)).\nAnswer: -544*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = z - 1250, -a - 5*z + 210 = -40. What is the highest common factor of 420 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165559774*g**3 - 19773368*g**2 + 2.\nAnswer: -993358644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -845*v**2 + 102*v - 25. Let o(i) = 5913*i**2 - 716*i + 178. Let q(h) = 43*l(h) + 6*o(h). Find the second derivative of q(a) wrt a.\nAnswer: -1714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**8))\/(v*v**(6\/11)) assuming v is positive.\nAnswer: v**(-105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of -1*(-2)\/4*2000\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5\/6)\/l*l**(-13)*l*l**(-22)*(l**(-10\/3)\/l)\/l*l)**46 assuming l is positive.\nAnswer: l**(-5405\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 9:50 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 177\/30 - 4 - 3 and -93\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 707 + -691. What is the remainder when 349 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19781\/315 - -112\/45. Let m = 65 - x. Which is the nearest to m? (a) 3\/8 (b) -1\/8 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 + 7*f + 13. Let b be o(-6). Let l(x) = -x**3 + 5*x**2 + 13*x + 9. What is l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1154 + 2107. Does 42 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 12, -5, -24?\n\"Answer: -t**2 - 12*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -66, -137, -236?\n\"Answer: -14*q**2 - q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -12506\nAnswer: -25012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rntrrnrqcnt. Give prob of picking 2 r, 1 c, and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b)\/b*b*b*b\/b**(-6)*b*(b\/(b\/((b\/b**3)\/b)))**(-30) assuming b is positive.\nAnswer: b**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-27))\/(((-28)\/11736)\/(-7)). Suppose 3*o + g = 5*l + o, -9 = 3*o. List the prime factors of l.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4788, 9567, 14346?\nAnswer: 19125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3850 (base 9) to base 6\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -3 + -5 + 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 552003 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/97, -1?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -384707362\/7961 - -48324. Let m = 260272473458 + -41440583224213589\/159220. Let w = z - m. Calculate the common denominator of -121\/20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 64500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525485?\nAnswer: 3, 5, 13, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11676645, -11676651, -11676669, -11676705, -11676765, -11676855, -11676981, -11677149?\n\"Answer: -p**3 + p - 11676645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + h, 6*t - 5*h = 3*t - 4. Let n(p) be the second derivative of 0 - 1\/3*p**3 + 0*p**t + 2*p. Let o(b) = -3*b. Calculate n(o(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/30)\/(15\/90).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-7)\/(-336)*(-1)\/(-1)*1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 15, -732502 = -4*i + 3*a + 79669. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3027 = -2*z - 3015, 3*f + 17 = 5*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 17 = -10*w. Calculate the remainder when 2 is divided by (2 - w)\/(10 + -6 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - (-1 + 1 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2\/7*m + 0 + 3\/7*m**2 - 1\/7*m**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21844 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbkkjjjnjzkknkbjb. Give prob of picking 1 n, 1 z, and 1 j.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -46*k**2 + 3 + 6*k + 131\/6*k**3. Differentiate x(h) wrt h.\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f**4 + 7913*f**3\/3 - 2069*f**2 - 1673*f\/3 = 0.\nAnswer: -7\/33, 0, 1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*q*t**4 + 8*q*t**3 - 2*q*t - 3580*t**2 wrt t.\nAnswer: 336*q*t + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*o - 23*o - 25*o - 138 + 2*o**3 - 24*o to t*o**3 + k*o + r*o**2 + p and give p.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*z + 4*z - 5*z)*(z**2 + z**4 - z**2) + (-2 - z**3 + 2)*(-z**2 + 17*z**2 + 23*z**2) + 3*z - 3*z - 2*z**5.\nAnswer: -40*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, -1\/3, -4.7, 16, -0.6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*u = 13*u - 11265 + 5571 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 51 + 0*g**2 - 105 to s*g**2 + f + q*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 42 = 29*s, 0 = -0*i + i - s + 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -6, 1, 2.\nAnswer: -6, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 686659923*d**3\/2 + 712893609*d**2 + 52968498*d + 1002252.\nAnswer: 3*(d + 2)*(15129*d + 578)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c\/(c\/(c\/c**(4\/13))))))\/(c*c**47*c*c))\/((c\/(c\/c**(-2\/55)))\/c)**34 assuming c is positive.\nAnswer: c**(-9346\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -440242*g*z**2 - 356028*g wrt z.\nAnswer: -880484*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12006 and 11178.\nAnswer: 324162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20795289?\nAnswer: 3, 23, 301381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 182019 divided by 182019\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 432?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24315 + 101232?\nAnswer: 43614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 - 30 = 0. Does 27 divide p\/(-5)*(-330)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7503850 by -5.\nAnswer: 1500770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1198 - 4.8802. What is the third biggest value in z, 16, -0.05?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {v: 2, o: 3, f: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in -2, 148, 0.2, 235, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**2 - 1. Let f(z) = -8*z. Determine f(n(r)).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Suppose -4*k - 2*g = -22, -2*k + 2*g = -0*k - 26. Let a(b) = -3 + 10 + 0 + b**x - k*b. Calculate a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 605*i - 8371. Determine k(-14).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1153 + -21913\/19. Let x = -17\/114 - h. What is the closest to -2\/5 in 0.1, -2\/9, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -31, -19, 9, 59, 137, 249?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4664 less than -4664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 15525*b - 16223627. Give f(1045).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*q - 83*q - 138 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-608)\/(-24)*21\/2. Let c = g + -143. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) - (-12)\/(-9). Is j > -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/60*6 + 377\/5. Let p = 51 + v. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3456, -14292, -32352, -57636, -90144?\nAnswer: -129876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/(-10) - -4) + (-47)\/5. Let r be (48\/h*-2)\/(12\/18). Solve r = 4*t - 0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 91 + 19 = 0. Let u = 19 + q. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2685 at most -2685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**2 - 3*o + 21. Let m(b) = 50*b**2 + 16*b - 106. Let v(k) = 16*h(k) + 3*m(k). Find the first derivative of v(r) wrt r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) 4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*q + 96*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2. Let p(n) = n + 166. Let k(a) = -a - 249. Let j(i) = -5*k(i) - 7*p(i). What is b(j(g))?\nAnswer: -4*g**2 + 332*g - 6889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15916478717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -c - 2 - 0, -4*c = -3*f - 6. Let y = -5 - -6. Put 5, f, y in increasing order.\nAnswer: f, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 - -169.18. Let c = -3.8199733 - o. What is c rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 92. Suppose u + 5*m = -36, -5*m = -3*u + u - z. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 31 + 3 + 50 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 137824?\nAnswer: 1516064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*2\/20)\/(6\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (-28)\/(-5). Let x = 12 + h. Solve -t - 25 = -x*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 34*x - 1. Let z be u(0). Let f(g) = -g - 1. Let i(o) = 4*o + 3 + o + o. Calculate z*i(y) - 5*f(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 0, 7, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 525890542 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4091 + 4120. What is the remainder when 2551 is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 919435\/1241 - 4\/(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*r + 51*r - 72 = 288 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from qfqfq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. Suppose 5*d + 0*d = s*z - 36, -20 = -5*d. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15331 = -79*l - 10828 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92176.11ng to grams.\nAnswer: 0.00009217611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209*n**5*r - n**4*r - 102*n**2*r wrt n.\nAnswer: 12540*n**2*r - 24*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 3 + 22)*(4*s - 5*s + 4*s) to j*s + k and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 10*l**2 - 13*l + 9. Suppose -3*g = g. Let t be g\/(-4) + 2 + 6. Is d(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s - 3*s - s)*(1 - 2 + 2)*(0 + 0 - 1 + (0 + 1 + 0)*(-2 - 2 + 6)) in the form l*s + c and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 - 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 15 - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 114*o**2 + 5049*o\/2 - 2639.\nAnswer: (o - 1)*(o + 26)*(o + 203)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602510 is divided by 537.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeaaeaeeeeaa. Give prob of sequence eae.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36217383.\nAnswer: 3, 691, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7688?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/5423287 and 77\/27130.\nAnswer: 54232870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 4*d - 102, -k - 156*d = -161*d + 124 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -292 and -0.04.\nAnswer: -292.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402276.\nAnswer: 2, 19, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63697 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5456 + 6224. Solve -t - u = -768 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, c: 3, g: 1, x: 2, m: 9}. What is prob of sequence xv?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 41*t + 159. Let v be n(-23). Solve -v = 11*d + 11*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 93?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*f + 2*d, -52 + 79 = 585*f - 580*f + 8*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)\/(o*o**(4\/9)*o*o))**(-11) assuming o is positive.\nAnswer: o**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4\/5, -56, 5 in decreasing order.\nAnswer: 5, 4, 4\/5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6073, 1\/4, -0.11?\nAnswer: 6073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.88552 hours to seconds.\nAnswer: 143587.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 368 + -365. Suppose a + 2434 = 31*c - 28*c, c - m*a - 822 = 0. Is c a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/20 - -2) + (-4)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 7*c**5\/120 - 5*c**4\/12 + 11*c**3\/6 - 5*c**2. Let w(i) be the first derivative of l(i). Is 37 a factor of w(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 281 + -85. Let n(b) = -329*b + 993. Calculate the lowest common multiple of p and n(3).\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 11*x + 13. Calculate k(6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/14 and -61\/217.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2. Let f(a) = -2 + a**2 + 2*a**2 + 0. Let h(c) = 19*c**2 - 13. Let i(t) = -39*f(t) + 6*h(t). Let n = -113 - -108. Determine n*i(j) + 7*d(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 14*a**2 + 2*a - 30. Let u be y(14). Suppose 0 = 3*q + 2*q + 15. Suppose k = -4*k - 20. Put k, q, u in increasing order.\nAnswer: k, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -275*o**6\/12 + o**5\/60 - 835*o**4\/12 - 4*o**2 - 11*o. Find the third derivative of n(q) wrt q.\nAnswer: -16500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*h - 6, 128*f - 131*f - 6 = -5*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g + 5. Let z = -2.93 - 0.07. Put -1\/6, z, g in ascending order.\nAnswer: z, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*u - 234 = 343, 770 = 4*z - 3*u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-15) - 40\/6. Let o be 4\/y + (-144)\/27. Let d be 12\/72 + (-41)\/o. Let q(u) = u**3 - 6*u**2 - 6*u - 8. What is q(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + (13 + -7 - -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine thirds of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/6 - 1\/3. Let o(s) = 2*s**2 - 276*s - 1141. Let p be o(142). Sort p, 5, 8, m in decreasing order.\nAnswer: 8, 5, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -405054 (base 9) to base 5.\nAnswer: -30134030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -0.16874659.\nAnswer: 1.34997272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + p**2 - p - 3. Let x be c(-2). Suppose -4 = -l + 2*l. Let j = 2 - 3. Sort x, j, l in descending order.\nAnswer: j, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55098, 109900, 164698, 219492?\nAnswer: 274282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/7 + 44*f\/7 + 150\/7 = 0. What is f?\nAnswer: -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**6\/2 + 6*q**5 + 117*q**4\/4 + 4*q**3 - 78*q**2 - 1091. Find r, given that c(r) = 0.\nAnswer: -2, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111578, 111286, 110792, 110096, 109198?\n\"Answer: -101*j**2 + 11*j + 111668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1213 = -8*o + 5467. What is the remainder when o is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2. Let c(h) = -162 - 2*h + 402 - 176. Calculate c(f(v)).\nAnswer: -4*v**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 16 = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 5. Let d be m(-3). What is the lowest common multiple of 2 + (-2)\/(d\/20) and (0 + 15)*(-1)\/(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*u - 4*u. Let y = 7.7 + -8. Let g = 3.37 - 3.42. What is the nearest to u in 3, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 12 + v + 3*v. Let f be k(8). Let w be (-12)\/7 - f\/(-14). What is the nearest to -1 in w, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -178*b + 181*b + 2, 0 = -3*b - 3*c - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400214452 (base 6) to base 14.\nAnswer: -c74d20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13340000 rounded to the nearest 100000?\nAnswer: 13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 + 56*c**2 + 21*c - 28. Give t(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:42 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s**2 - 184*s**3 - 116*s**2 + 1955*s - 4335 + 95*s**3 + 94*s**3 = 0 for s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69608 divided by -4972?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 1034048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -319 and 1179?\nAnswer: -376101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f + 1, -5*y + 1356 = -4*f. Calculate the greatest common divisor of y and 800.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 3)*(a - 2*a + 3*a)*(-8*a**2 + 13*a**2 + 9*a**2).\nAnswer: 112*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*p - p**2 - 104*p + 51*p + 35 in the form r*p + i*p**2 + u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 10559.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 17*j + 120. Calculate b(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8268 by 8268.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*f - 3*f. Let z(p) = -p**3 + 4*p**2 - 4*p + 5. Let g be z(f). Let o(i) = 0*i - 4*i + 2*i + 0*i. Give o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i - 7. Let b(v) = -v**3 - 7*v**2 - 7*v - 22. Is b(i) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2. Let f(j) = 8*j + 6. Let c = -14 + 9. Let h = c + 6. Let x(i) = -i - 1. Let y(b) = h*f(b) + 6*x(b). Calculate k(y(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -32 and 0.043.\nAnswer: -31.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let c = -145 - -271. Suppose -145*i + c = -144*i. Let j(d) = -41*d + i - 126. Determine x(j(a)).\nAnswer: 82*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -c + 5*t, 0 = -3*c + t + 22 - 27. Suppose -y + 5*h + 5 = c, -y - 5*h - 5 = 3*y. Let w = -5 - -7. Sort y, w, -4, -5.\nAnswer: -5, -4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 186 = -2*a, 4*i - 2 = -3*a + 151. Suppose 0 = -2*k - 4*w + i, -k + 7 = -w - 14. 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: What is the third biggest value in 1\/5, 18, 11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1322*-4.8064\nAnswer: 6354.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -124*((-2782)\/(-52) - 54)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Suppose a + 2 = u. Suppose -4*q + u*m + 0*m = 1, -4*q + 2 = -2*m. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36397887 + -0.5?\nAnswer: 36397886.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350 + 89 - -205) + (-4 - 1).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 31999*z**5\/20 - z**4\/12 - z**3\/6 - z**2\/2 - 3*z. Let p be u(-1). Round p to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 + 4 = 0. Suppose 2*x - 52 = -4*f, -5*f + 49 + 5 = -k*x. What is the smallest common multiple of f and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -14201?\nAnswer: 14220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let o = y - 1. Suppose 0 = o*i - 9 - 0. Solve v - i = 3*p - 6, -1 = -v + p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*x + 21 - 21 in the form y + l*x and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 129 = -5*i, 2*j - 149 = -5*i + 3*j. Let v = i - 25. Calculate the common denominator of -51\/20 and 2\/v + ((-111)\/(-9))\/1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75336 millennia in years?\nAnswer: 5753.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.713 (b) -1.1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15846)\/(-2085))\/(((-6)\/8)\/((-900)\/(-160)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 2*j - 2*j)*(10 + 3675*j**2 - 8 - 3707*j**2).\nAnswer: -160*j**3 + 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/15 - 1*2. Let d be 18\/(-30) + (-49)\/60. Let m = -5\/3 - d. Which is the nearest to m? (a) g (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3503572 decades in millennia?\nAnswer: 0.003503572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 57. Let q(r) = -r**3 + 5*r**2 + 6*r + 1. Calculate the smallest common multiple of 10 and q(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132602507767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-30)*84\/(-32)*(-3)\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, 1169 in ascending order.\nAnswer: -19, 5, 1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/63 and 87\/8?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - o**3 + 2*o**4)*(-2*o + 5*o - 2*o) + 102*o**5 + 248*o**5 + 126*o**5.\nAnswer: 478*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(147))\/sqrt(7) + sqrt(189)\/(sqrt(72)\/sqrt(8)) + sqrt(21))\/((sqrt(56) + sqrt(168)\/sqrt(3)*4 + sqrt(56))\/(sqrt(32)\/(sqrt(12)\/sqrt(3)))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*a*v**3 + 2*a*v**2 + 89*a*v - 405*a + 2*v**3 - 8*v**2 wrt v?\nAnswer: 504*a*v + 4*a + 12*v - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/60)\/(4\/(-20)*-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -59 + t - 54 + 112. Let c(v) = 6*v + 35. Let y be c(-6). What is m(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2\/(-28)) + 3. Suppose t*v = 14*v + 24. Let m = 8 + v. Is m equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 61415227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94\/335 or 0?\nAnswer: 94\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y**3 + 0*y**6 - 3\/70*y**7 + 1\/6*y**4 + 0 - 2*y**2 + 0*y**5 + 0*y. Find the second derivative of a(u) wrt u.\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 22. Let x = 118606 - 118571. What is the highest common factor of m and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/240)\/(2\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134389, 136840, 140933, 146674, 154069, 163124?\nAnswer: 173845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 1. Let w(n) = n**2 - 1. Let u be w(-2). Suppose 2*o = -u*o. Suppose i + 2 = -o*i. Let t(d) = d**2 - 2*d + 2. Give i*v(p) - t(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 30*m**2 - 40*m + 374. Calculate n(29).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 52.8. What is the second smallest value in -2\/3, -3, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by 111.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*r - 72*r + 10*r**2 - 114*r**2.\nAnswer: -104*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i + 104. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43270*j + 14007*j - 79179*j + 5666*j.\nAnswer: -102776*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(832) + 0 + -5 + -3).\nAnswer: -192*sqrt(13) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169998 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2377.481 litres to millilitres.\nAnswer: 2377481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -83, 128, 425, 808, 1277?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 2.1. Let m be 3390\/42 + 4\/14. Let k = m - 649\/8. Sort 1\/9, j, k in decreasing order.\nAnswer: 1\/9, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*t + 22, -3*o = t + 4*t + 1. Suppose -5*n + 159 = 2*z, -24 - 66 = -o*n - 3*z. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 7*t**2 + 7*t. Let a be v(-6). Let l = a + 4. Is 3\/6 - 177\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*m + 640, m + m = d + 319. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17549191 to the nearest integer?\nAnswer: 4189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aam when three letters picked without replacement from jjlmaaj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-4)*(-17)\/136*4\/6.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1998 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4 - 2. Suppose j*f - 27 = -7*f. Suppose 10 + 47 = f*n. Solve -6*r + r - 23 = -2*q, n = q - 5*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113899234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 - 3)*(2*n - 2 + 2)*(-4 + 2*n**2 + 4).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 59252568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5324 and -51\/17908?\nAnswer: 196988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (285\/(-9) - 2)*(-13868583)\/493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37 - 3?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h*p*u*z**2 - 39*h*p*u*z - 23*h*p*z**2 - 64*h*p*z - 3*p*u*z wrt u?\nAnswer: -4*h*p*z**2 - 39*h*p*z - 3*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988 a factor of 17727406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -20, -272 = -3*n - 7*d + 2*d. Let x(a) = -3 - 2 + n*a - 111*a. Is x(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(6\/12)*0. Suppose -d + 3*d + 2 = 0, f = -3*o - 4*d + 35. Solve 3 = 5*p + o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41089726 rounded to three decimal places?\nAnswer: 0.411","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 946*k - 946*k - 5*k**2. Let z(w) = 10*w + 4. What is z(q(y))?\nAnswer: -10*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42275.36 and -30.914.\nAnswer: -42306.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 7*g - 3. Let q be x(1). Which is greater: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -1 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474\/4*(2 - (5 + -5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/3 - 150*o**4 + 3226*o**3\/3 + 12368*o**2\/3 + 4421*o + 4570\/3 = 0 for o.\nAnswer: -457, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(68)\/sqrt(4)*2 - sqrt(17)) + -2)**2 - ((3*sqrt(272))**2 + ((1*sqrt(17) - sqrt(17))**2*4 - sqrt(17)))) + -2.\nAnswer: 15*sqrt(17) + 12133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*z**2 - 52*z**2 + 156*z**2 to the form y*z**2 + k*z + i and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90137361 divided by -3.\nAnswer: 30045787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*u - 3*u - 3*u + u + u + 0*u - 3 - 2*u + 3 + 0*u - u + 0*u + (0 + 4 - 3)*(-2*u + 2 - 2))*(23*u - 85 + 85).\nAnswer: -92*u**2 - 46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + g = 19 + 9, -7*g = -15*c - 7*g - 7*g + 96 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.865 - 0.135. Let r = -1.5 + 1. Let k = 0.04 - 0.01. Put r, k, q in descending order.\nAnswer: k, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630998813?\nAnswer: 23, 43, 101, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.625 (c) 2 (d) 2\/5013 (e) 1 (f) -1\/6 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 2*d**3 + 6*d**2 - 342*d + 343*d to the form z*d**3 + a + i*d**2 + m*d and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3121522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 1:41 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8270 divided by 5?\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2828 = 3097. Let s be (-4)\/(-5) - 1705\/n. Let l = s - 5011\/711. Find the common denominator of 33\/10 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 6:35 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -522780 rounded to the nearest 10000?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by 7929121\nAnswer: -150\/7929121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-58)\/4*14. Let j = l - 139. Calculate the highest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/7)\/((-4)\/28). Let j(g) = g**3 + 7*g**2 + 6*g + 5. Let d be j(a). Solve -2*w = d*b - 4*b + 3, 5*b - 41 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/60*(3 + 1*-9). Sort n, -7, 2 in increasing order.\nAnswer: -7, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 51 = -42. Calculate the remainder when 13 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Solve -2*l = n*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -19 - 2*d + 0*d**5 + 0*d**4 + 0*d**3 + 53*d**2 + 131\/30*d**6. Differentiate q(h) with respect to h.\nAnswer: 524*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16582, 33176, 49782, 66406, 83054, 99732?\nAnswer: 116446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 3*t)*(278*t - 713*t + 308*t).\nAnswer: -127*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5 = -6*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z + 15 = 0, 2*z = 4*l - 154. Let s = -16 + l. Find the common denominator of 2\/12*1494\/s and -59\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -21*d - 386 + 1313. What is the remainder when 376 is divided by d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -728, -698, -666, -632, -596, -558, -518?\n\"Answer: c**2 + 27*c - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 207 + -767?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 30136.\nAnswer: 120544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 11*l**3 + 4*l**2 + l. Let f(u) = -44*u**3 - 17*u**2 - 5*u - 1. What is 2*f(i) + 9*z(i)?\nAnswer: 11*i**3 + 2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 2, -2, -0.5, 432, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, c: 1, s: 2, h: 2, u: 1, k: 1}. What is prob of sequence uooo?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11776368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*20\/52*13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15184471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -57047969 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(5\/3)\/(w**(-1\/6)\/w))**(2\/83))**5)**(-8) assuming w is positive.\nAnswer: w**(-680\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/11, 3, 1\/9, 3\/7, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 + 88. Is 51 a factor of (g + 1)*(1463\/14 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 4263\nAnswer: -8526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*x = 282*x - 4*i + 9, -19*x + i = 96 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-5)))\/o*o)**22\/(o**(3\/8)\/o)**(-6\/37) assuming o is positive.\nAnswer: o**(16265\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102473717?\nAnswer: 23, 61, 73039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 285*d - 15. Let z be j(1). What is the greatest common factor of 40 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4693*b - 9550*b + 4790*b.\nAnswer: -67*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/14*(-38)\/(-12). Let s = -8\/41 + -969\/287. Let a = s + m. Find the common denominator of 40 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*k**2 - 35*k**2 + 69*k**2 + 46*k**2.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 13*g**2 + 3 + 11*g**2 - 3*g + (-g**2 + 0 + 0)*(2 - 3 + 2) - 3*g**2 + 7*g**2 - 2*g**2.\nAnswer: -g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3 + 8 + 2 + f. Let d(g) = 1. Let u(i) = 2*d(i) - k(i). What is the units digit of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 445209*k = 445212*k + 20, 4*o + 16 = -5*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {d: 3, r: 1, b: 1, k: 7, u: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from btttttbbtbtbttttbt?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 38*p**2 + 78*p - 41. What is u(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141515*d**2 - 956225*d + 956225*d + 570755*d**2 + 570759*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14089788 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-632)\/790*(330\/(-8))\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 51 - 28*f - 26 - 22 + 3*f - 16*f.\nAnswer: -36*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 328*p**3 + 132*p**2 + 5*p - 5. Let y(j) = -492*j**3 - 198*j**2 - 8*j + 8. Let t(h) = 8*m(h) + 5*y(h). What is the third derivative of t(b) wrt b?\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 - 2*t. Let b be (-32)\/(2 + 3\/(-1)). Let v(f) = -4*f + 11*f - 32 - 15*f**2 + b. Let m be (12\/10)\/(1\/(-5)). What is m*v(k) - 22*o(k)?\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1463 + -1440. Solve 14*a - j = 61 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 2064718752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.14 + 0.34. Let l = -2 + 3.2. Let h = g - l. What is the smallest value in -0.5, -4\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {y: 2, e: 6, l: 1, f: 4, r: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3406*d + 106740. Determine i(32).\nAnswer: -2252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 15, -565 = -4*a + n + 10. List the prime factors of a.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z**4 - 695 + 3*z**2 - 70*z**3 - z - 12*z**4 + 702 in the form k*z**2 + d + t*z**3 + v*z + p*z**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccxxcox. Give prob of picking 3 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 5.6136.\nAnswer: -22.4544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1308194 and -45\/14.\nAnswer: 9157358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 416199210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 19.05. Let x = q + 4.95. Which is smaller: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 10 + (13 + -16 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:42 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288))**2 + (5 + sqrt(4)\/sqrt(2))**2.\nAnswer: -14*sqrt(2) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272241794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 29 = -23. Suppose -w = j*w - 100. Let g(v) = -v**2 - 5*v + 2. Let y be g(-5). Solve 0 = y*z + 2*z + w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 311596 + 48404. What is a rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*v - 6971, -2*v = -7*v - 5*x - 8695. Let s = -209 - v. Let j = s + -985. Round j to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449081071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m + 1. Let c be x(-1). Let k be (-11*(-2)\/c)\/2. Does 14 divide k + (-8)\/(-2) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72807 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 845\nAnswer: 33\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o + 130*o + 14107 = -190*o + 14379 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 8*i + 0 + 2)*(-5 + 3 + 3) to the form o + j*i and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -4.\nAnswer: -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/5 + 822\/105 and -49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:51 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m. Let u(g) = -10*g**2. What is u(i(t))?\nAnswer: -1690*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.7. Let p = m + -0.8. Which is the second smallest value? (a) 1\/4 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 2*z**2 + 2*z - 1. Give q(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + sqrt(34) + sqrt(102)\/sqrt(3))\/sqrt(2) + (sqrt(17) - sqrt(34)\/sqrt(2)*4) + -5)*5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 98381, 98383, 98385, 98387, 98389?\n\"Answer: 2*a + 98379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z. Let l(b) be the second derivative of -b**3\/6 - 10*b. Give l(g(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {y: 7, o: 3, l: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 5496.\nAnswer: 23\/1832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 + 3*g**2 + 0*g**2 + (-2*g**2 + 0*g**2 + 0*g**2)*(0 + 3 - 2) - 2 + 2 - 2 - g**2)*(-g**2 - 5*g**2 + 4*g**2).\nAnswer: -14*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z + z + z - 2 - z - 2*z + 2*z + (-4*z + 6*z + 0*z)*(-2 + 0 + 1) - 5*z + 3*z + 0*z.\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -73. Let m = 724 + -771. Let j = x - m. Which is greater: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/120 and 5\/5232.\nAnswer: 26160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-5) + -1)*-15. Let r(c) = -9*c**2 - 15*c. Let s(i) be the third derivative of -i**5\/12 - i**4\/3 - 175*i**2. What is z*r(q) - 11*s(q)?\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcf when three letters picked without replacement from gxegfcg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 143, 214?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 17*j + 7. Determine n(-13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14185, -14187, -14191, -14197, -14205, -14215?\n\"Answer: -u**2 + u - 14185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*w + 15 - 17, 0 = 4*u - 3*w - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8842.653um to millimeters.\nAnswer: 8.842653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -312356*d**5 - 73*d**2 + 6310 wrt d?\nAnswer: -18741360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - (-1 - -1) - (-44 + 46)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31200*c - 30581*c - 35902 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17094 + -885748749.\nAnswer: -885731655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 5 (b) 18 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 = -2*j - 125. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-49))**(-49)\/((x\/(x*x\/x**(4\/7)))\/(x\/(x*x**3))) assuming x is positive.\nAnswer: x**(16789\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80402.\nAnswer: 2, 7, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-42)\/49 + -5*7890\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*((l*(l**5*l)\/l)\/l*l)\/l))**(6\/17)\/(l**1)**(-11\/4) assuming l is positive.\nAnswer: l**(43\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1813408584?\nAnswer: 2, 3, 13, 109, 53323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18\/42 + (-10)\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Suppose -4*x = x. Suppose 2*g = -t*h + 40, x = g - 0*h - 5*h - 50. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 2. Let k be q(0). Let b(z) = 5*z - 6 - 4*z**2 - 3*z**k + z. Let i(u) = -6*u**2 + 5*u - 5. Determine -5*b(a) + 6*i(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1112 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121479265*t**3 + t**2 + 3*t - 5694237?\nAnswer: -728875590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25000, -48795, -71396, -92803?\n\"Answer: 597*k**2 - 25586*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 27\/4. Let m be (16 - 18) + (-1 - (-70)\/22). What is the closest to -2 in m, y, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i + 46*i - 17*i.\nAnswer: 46*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - 82 - 889928*s + 889928*s to x*s**2 + b*s + k*s**3 + v and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 26*a**2 - 7*a - 59. What are the prime factors of d(28)?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*u + 7586 + 13383 - 1877 = 4062 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*d - 2*q, 4*q = d + q - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/13 + (-658930)\/(-2713685)?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -2 - 5 - (2 + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzyffyvyyfyy. What is prob of sequence fvzz?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00632049696 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9611277 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {b: 2, h: 2, i: 1, d: 2, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 <= -223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**4 - 111*i**3 + 400*i**2 - 372*i. Let q(r) = -r**4 + r**3 + 2*r. Let g(m) = 4*q(m) - x(m). Factor g(w).\nAnswer: -5*w*(w - 19)*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2034091 and 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -20*d**2. Let z(n) be the first derivative of -n**6\/180 - n**3\/3 + 10. Let w(r) be the third derivative of z(r). Calculate w(f(x)).\nAnswer: -800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 797609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -35*b - 216. Let h be n(8). Let z = h - -1254. What are the prime factors of z?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-1.43\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30923999849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1527 is divided by 165?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 22. Solve -y*q = 3*k + 2*q + 10, 0 = -5*k - 2*q - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -0.026, 2, 1\/2, -44?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) + sqrt(396) + 2 + sqrt(11) + sqrt(11) - sqrt(11)).\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1658718 + -654741. Let z be (2\/(-9))\/((-24)\/l). Let q = -9286 + z. Calculate the common denominator of -1\/14 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*i - i**3 + 12*i + 17*i to a*i**3 + d*i + f*i**2 + v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 916, -297, -554 in decreasing order.\nAnswer: 916, -297, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c - -9?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/3 - 16*h**2 + 71*h + 1404. Give z(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897430903 is divided by 2803?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -g - 0*n + 163, g + 2*n = 171. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 2:49 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -587*g**2 + 10 - 4*g + 586*g**2 - g - 4*g. Determine k(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15399 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41616 + 31667. Which is smaller: -9950 or u?\nAnswer: -9950","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128563184130 take away 0.26?\nAnswer: 128563184129.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 960682?\nAnswer: 2882046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/25)\/(-7)*15\/21.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 11*p - 1. Let s be n(-9). Let g = 43 - s. What is the remainder when g is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1297 (base 12) to base 3\nAnswer: -2220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (sqrt(242)*2 - sqrt(242)) - 6*sqrt(8)\/sqrt(4))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14112 and 1417472.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h - 222. Give u(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(6\/7)\/y)\/y*y**3*y*y*(y**(1\/6))**(1\/5))**(2\/9) assuming y is positive.\nAnswer: y**(1027\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28638 and 16641.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, -224, 3, -1, -3 in decreasing order.\nAnswer: 4, 3, -1, -3, -9, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165.7 * -12.9181.\nAnswer: -2140.52917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 2*o)*(-3*o - 3 + 3) + o**2 - 2 + 2 + (-180*o + 435*o + 38*o)*(-33 - 6*o + 33).\nAnswer: -1754*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326 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: Solve -w = 947*m - 949*m - 3, -4*m = 20 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00079897 to six dps.\nAnswer: 0.000799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:01 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -151)\/(7110\/395)\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 82\/12 + (323\/102)\/19 + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x + 9*x + 2 + 19 - 17*x to o*x + i and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285166326 - 7*z + 285166326.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035 divided by 55?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105433434 - 13?\nAnswer: -105433451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let h = 16538.1 - 16538. Which is the smallest value? (a) k (b) h (c) 0 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -157\/3. Which is the biggest value? (a) j (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 0, 4*i - 14 = 2*i + 3*y. Suppose -k + 1 = -2*c + i, k - c + 2 = 0. Let v(w) = -4 + 11 + w**k - 2*w**2 - w - w. What is v(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 21*c - 22*c. Suppose 20820 = -6*o + c*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 1}. What is prob of sequence oh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(2\/7)\/n))**(1\/2))**(2\/5)\/((n*n\/(n*n**(-1\/4)))**18)**33 assuming n is positive.\nAnswer: n**(-51937\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**5 - 6*t**4 + 6*t**2. Let v(s) = 3*s**5 - 13*s**4 + 12*s**2. Let z(u) = -6*v(u) + 13*y(u). Find the third derivative of z(w) wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322868 divided by 7?\nAnswer: 46124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z - 67*z = 8*v, -5*v = -4*z + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - -0.38. Let f = q + -0.32. Which is the nearest to 0? (a) f (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -3467?\nAnswer: -3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {p: 1, l: 5, m: 1, t: 1, i: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + z + 5 = 0, 6 = -y - 5*z + 33. Let c(r) = -2*r**2 - 828*r - r**3 + 830*r + 4*r**2 - 3. Give c(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-2)\/1800*-5) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 15) in base 8?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376168.\nAnswer: 2, 13, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqqtssot. Give prob of sequence st.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyewwofjewof. Give prob of sequence fjo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 10 = -2*o. Let n(w) = -w**3 + 5*w**2 - 3*w - 3. Let c be n(4). Let z = -4 - -6. Sort o, c, z in ascending order.\nAnswer: c, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.766 + -4.234. Which is the biggest value? (a) i (b) -3\/5 (c) 12\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 - 14 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -26, -174.\nAnswer: -174, -26, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 28*w + 118. Let x be a(-5). Let s be (-2 - -1)*(-7 + 3). Let u = 7 - s. Solve u*i + 9 - x = 3*l, l + 2*i + 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/20 + z**4 - 7*z**3\/3 - 23*z**2\/2 - 24*z. Let m be q(-11). Suppose -m = 5*i - 14*i. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 171*v + 10323. What is the thousands digit of k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*i - 89*i + 161*i + 159*i to b*i + l and give b.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 + -12.16. Let l(f) = -19*f**2 + 10*f + 5. Let n be l(0). What is the third biggest value in n, d, -0.07?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Let o = x - -3. Which is the closest to 0? (a) -2\/9 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*x + 38. Suppose i = -i + 24. Calculate the greatest common factor of x and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61278368?\nAnswer: 2, 1914949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:16 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -15. Let o be 6\/18 - n\/(-6). Suppose -o*h - 43 = -151. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6696559619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 19*y**2 - 45*y + 42. Let l be n(-20). What is the greatest common divisor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*n - 17. Calculate the remainder when 25 is divided by 160\/n + (-2)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 12*v + 9. Let x be a(14). Let l(u) be the first derivative of -4*u**2 - 54*u + 7. What is the tens digit of l(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.24 + -2.8. Let q = -0.06 - z. Which is the second smallest value? (a) q (b) -2 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 0*d**4 + 2\/3*d**3 - 15 + 9*d**5 + d**2 + 27*d. Find the second derivative of n(r) wrt r.\nAnswer: 540*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 318*m - 316*m + 2, 4*n + 5*m - 15211 = 0. What are the prime factors of n?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 2*k - 17*k)*(0*k**3 + k**3 - 2*k**3) to the form a*k**2 + j*k**4 + s + q*k + d*k**3 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 6 = 2*a, y + 12 = -4*a. Suppose -v - 19*v + 400 = y. Solve 4*b = 4*c + v, 4*c - b + 15 = -2*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(0 + -2 + sqrt(396) + -2)*-2*-5 + 5)**2.\nAnswer: -20400*sqrt(11) + 165625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 790793 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -394\/9 not equal to -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7194 + 7194 - 113*r**4 + (r**4 + 2 - 2)*(-8 - 7 + 2) - 3*r**4 - r**4 + 3*r**4 in the form c + w*r**2 + q*r**3 + u*r + y*r**4 and give y.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9928113*f**3*y - 2*y - 3375344 with respect to f.\nAnswer: 29784339*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 553.4263 tonnes in micrograms?\nAnswer: 553426300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ivlivivl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 9*n**2 + 12*n + 20. Calculate the remainder when g(-11) is divided by 54.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 divided by 170?\nAnswer: 301\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**8\/168 + 101*u**7\/105 - 29*u**5\/30 + u**3\/6 - 515*u**2. What is the third derivative of v(b) wrt b?\nAnswer: -120*b**2 + 4848*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20344357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from tuyukk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (252\/4 - 7) - 24.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 25 = -x, 24*x - 46*x + 21*x + 8*y = 12 + 18 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 44*o - 6*o - 2 + 1 as s*o + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3772?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*v - 48, -3*v + 17 = 2*b - 7. Suppose -4*l + 16 = -2*f, 0*f + 2*f + 3*l = b. Let n be f + -4 + (-1 - -3). Are n and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.769 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -552292 + 7183178\/13. Let r = k + -260. Is 1 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24 = 4*r - 16, 0 = -4*h + 5*r + 4. What is the remainder when 22 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*h - 54, -241*h + 239*h = 3*o - 60. Calculate the greatest common factor of 19299 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26172724*r**3 + 11961127?\nAnswer: -78518172*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 511739093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 9*t**2 + 1214*t - 9867. Determine u(8).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12611*m + 12470*m - 25384*m. Let b(j) = -5*j**2. Give f(b(g)).\nAnswer: 1515*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3784, 3797, 3800, 3787, 3752, 3689?\n\"Answer: -k**3 + k**2 + 17*k + 3767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -6. Let k = 6.068 - d. Round k to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/10)\/(-1))\/(3\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*g**2 - g + 7*g + 106*g**2 - 51*g**2.\nAnswer: 5*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2480145?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 8*c + 4. Determine h(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*r + 2 = 0, -20 = 4*f - 4*r + 8*r. Let d be f - (2 - -2) - (-3)\/1. Is d + 40359\/12 - 2\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 9:45 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2 - 14*m + 9. Let i(v) = 8*v**2 - 13*v + 10. Let l(z) = 6*f(z) - 5*i(z). What is the units digit of l(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-935)\/110)\/(-1 - 1090\/(-1092))?\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 31. Sort 4, s, -4 in increasing order.\nAnswer: -4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.6. Let q = 29\/18 + -10\/9. Which is the nearest to -1? (a) j (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/133518 and 135\/89012.\nAnswer: 267036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/30314833 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-23))**(2\/37)*(q*q\/q**(-2))\/q*q**(1\/2))**40 assuming q is positive.\nAnswer: q**(3340\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 24 = 2*v + 3, 3*d - 21 = -2*v - 4 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -0. Suppose -5*k = 2*g - u*k - 6, g + 5*k = -9. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 5*g**2 + 2*g**2 + (0 - 2 + g + 3)*(19*g - 2*g + 12*g) in the form t*g + c*g**2 + y and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020 (base 4) in base 11?\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 + 1685\/9. Let i = 10 + -13. Which is the second biggest value? (a) i (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 17 + 23. Let m = 367.2 + -367. What is the fourth smallest value in 1\/10, -4, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 426 (base 10) to base 13\nAnswer: 26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f + 1. Let m be d(4). Let z = 51 + m. Solve 3*q - 4*q = -z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1494.\nAnswer: 5\/1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 61*q**3 + 4*q**2 - 2*q + 4. Let s(z) = -123*z**3 - 9*z**2 + 5*z - 10. Determine 2*s(d) + 5*w(d).\nAnswer: 59*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-18)*-4)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*g + 535*g - 36 = 1063*g - 10*a, 4*a = 3*g + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 8:31 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.85 + 17.35. Let f be (5\/(-4))\/((-2)\/8). Put f, 5\/4, i in descending order.\nAnswer: f, 5\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {p: 3, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13638101\/135 > -101024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 + (-75)\/(-27). Suppose v = -4*h + 15. Suppose -h*i - 2*i + 3*w - 12 = 0, w - 4 = 3*i. Is -2\/9 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7865 divided by -5?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 0.1. Put g, 2, 0.5 in increasing order.\nAnswer: g, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 69418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3792 and 814980?\nAnswer: 257533680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 370898609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -102 and -358816.2134.\nAnswer: -358918.2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 17221 + 17235 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -8*z**4\/9 + 338*z**3\/9 + 260*z**2\/9 - 86*z\/9 = 0.\nAnswer: -1, 0, 1\/4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.3, -1, -43, -97, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -30*k. Let c(u) = 46*u - 6. Determine c(f(a)).\nAnswer: -1380*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-205639)\/(-28))\/29*(152 + 0).\nAnswer: 2, 19, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1984 = h + 1970 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41*0.058\nAnswer: 2.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 13*h**2 + 32*h - 99. Let o be m(15). Which is smaller: -68 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 4. Let y be (-2 + -19)*1\/(-3). Let d be a(y). Differentiate -4 + 1 - d*h**4 + 5*h**4 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 2 = 10*o. Solve 0 = o*z - 5 - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1790 + -672. What is the common denominator of 40\/(-140) + t\/140 and (-4)\/6*(-231)\/(-24)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**(-3)\/c)\/c)\/c*c)\/(c**(-4\/3)\/c))**(-3\/14))**23 assuming c is positive.\nAnswer: c**(92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62073, 122208, 182345, 242484, 302625, 362768?\nAnswer: 422913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 18*c + 410. Calculate the remainder when 86 is divided by p(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388411791 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bb25e - -8?\nAnswer: bb266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 + 235\/3*(-17 + 98)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000628194681 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -11*c**4 + 3649*c**3 - 20608*c**2 + 22796*c + 7824 = 0.\nAnswer: -3\/11, 2, 4, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 41*p + 4*p**3 + 5*p**2 - 3*p**3 - 4 - 38*p. Let z be a(-3). Solve -z*d = r + 14, -5*r = -3*d + 5 - 19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -147*n**2 - 111*n - 2. Give b(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 - 110 = -69*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)\/sqrt(7) + sqrt(56))\/sqrt(7))\/(2*sqrt(576)) + -5.\nAnswer: -5 + sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 35*b**8\/144 + 17*b**7\/45 + 19*b**6\/90 + 2*b**5\/45 - 158*b**2. Factor k(d).\nAnswer: d**2*(5*d + 2)*(7*d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.08919\nAnswer: -0.044595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4534.0000916 + 4534. Round t to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4729.50315 to 0 dps.\nAnswer: -4730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z**2 - 3*z + 2. Let y be v(3). Let j(d) = d**3 - d**2 - 4. Let n be j(y). Solve n = -l - 3 - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13527 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 - 61. Let l = h - 120. Which is smaller: l or 1.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.721238 times 4?\nAnswer: 570.884952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 - 8 - -1*1. Let m(j) = -a*j**2 + 4*j**2 - 6*j**2 + 11*j - 8*j**2. Let w(t) = 3*t + 4*t + 2*t - 5*t**2 - 5*t. Give 4*m(i) - 11*w(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 11 = -14. Let y = 0.1 + 4.4. Let g = 7.5 - y. Which is the third smallest value? (a) g (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/(-65) + 84\/10. Suppose -20 = -3*a + 4*f, 2*f = -3*a + 4*f + 10. Suppose -u = a, -u = 4*q - 6*u - j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 8*g**2 + 3*g**3 - 4938 + g**3 + 2*g - 5*g**3.\nAnswer: -g**3 - 14*g**2 + 2*g - 4938","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.4553 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36, 5, 1\/8, 1\/24, -29?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 - 1136*q**4 + 26866*q**3 - 188520*q**2 + 354600*q = 0. Calculate q.\nAnswer: -591, 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3*(172\/(-36))\/1 and -19\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176*(-126)\/(-5544)*(-2)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 809590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -15. Solve -3*k - 1 = q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 42. Let n be m(18). Suppose n*s = 51*s. Which is the biggest value? (a) 2\/5 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912610?\nAnswer: 2, 5, 263, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*t + 9556 = 198*t + 135474. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233 + -210031?\nAnswer: -202132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a + 2*p + 29 = 0, 4*a - 4*p - 28 = 0. Let w be (-612)\/(-24)*5\/((-15)\/2). Let v = a - w. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 26.1. What is the second biggest value in 2, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 30*w + 67. Let s be v(-21). Let j = s - -225. Let z = j - 94. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 3 + 3 - 4*r. Suppose 6*f - 7*f = 3. What is the units digit of n(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26287.\nAnswer: 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*p**5 - 86*p**5 + 20*p + p**2 - 3*p**2 - 77*p wrt p.\nAnswer: -4560*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -358*m**2 + 12*m. Let h be 21\/6 - 3\/(-2). Let a be h\/2*(-56)\/(-10). Let c be j(a). Round c to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**3 + 2*s**2 + 13*s - 2. Let g(q) = 11*q**3 - 5*q**2 - 24*q + 5. Determine 2*g(w) + 5*z(w).\nAnswer: -3*w**3 + 17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 28*z + 279. Let n be j(-9). What is the greatest common factor of n and 1674?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:52 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 3*r + 4*l - 8, 10 = 5*r + 5*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 138e + 0?\nAnswer: 138e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-133)\/(-7)*(294\/14)\/(-21)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 91.49*-968.6\nAnswer: -88617.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 2*r)*(3 + 1 - 2)*(r**2 - 7 + 10 + 3*r**4 - 6).\nAnswer: 6*r**5 + 2*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 44*w - 625 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*w**6 + 12*w**2 - 29*w**2 - 8*w**6 wrt w?\nAnswer: 3240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303328\/717 or 423?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*r = -7, 0 = -2*j + 88*r - 89*r - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/28)\/(59\/1239).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -737690025.4537?\nAnswer: 737690025.9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 224*w**3 + 3*w**4 - 456*w**3 - 2*w**2 + 230*w**3 + 2*w - 17 to y*w**3 + j*w**4 + t*w + k*w**2 + f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*m + 7*l - 18, -m = -2*l - 12. Suppose -m*n + 0*n = -150. Solve 10*i - 5*i = z - n, 3*z - 15 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 69*d + 1518. Give l(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178*(((-639)\/30)\/(18\/(-30)))\/1.\nAnswer: 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -40.5898, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*l - 22*l + 2*l**2 - 38*l**2 in the form b + w*l**2 + i*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -40*c**2 - 16. Let s(v) = 114*v**2 + 50. Calculate 14*f(k) + 5*s(k).\nAnswer: 10*k**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -3)*7 + (-4)\/1. Suppose p*j - 6 = 0, 0*b + j - 59 = -3*b. Solve 5*m - 5 = 3*a + b, 0 = a + m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2100*n**2 + 4*n - 4*n + 0*n.\nAnswer: -2100*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 + -217. What is the highest common divisor of 55 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1638 and 10\/2583.\nAnswer: 67158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 229\/2. Which is the fourth biggest value? (a) -0.1 (b) k (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, j: 7}. What is prob of picking 3 j?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, d: 2, t: 1, q: 4}. What is prob of picking 2 t, 1 q, and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 138766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 7. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2551.956 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 53 = -8. Which is greater: p or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:16 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16071035*m - 7687506.\nAnswer: 16071035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023806 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 26. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/297616 and -67\/836?\nAnswer: 297616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 53479?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3023 - -31?\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*k*n + c**2*k - 410*c**2*n + 4*c**2 - 330*c*k*n + 4*c*n - k*n - 2*k wrt c?\nAnswer: 8*k*n + 2*k - 820*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.034 - 4.966. Which is the nearest to 1? (a) 0.1 (b) -1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**2 + 22*x + 16. What is v(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkh when three letters picked without replacement from {h: 11, f: 7, k: 1}?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 3\/5 (c) -8 (d) -1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31379532?\nAnswer: 2, 3, 1187, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (1 - (2 - 3)). Let f be 5 - 2 - (c + 2). Determine o so that -2*o**4 - 4*o**3 + o**4 + 3*o**3 - o**f + o + 2*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and 8521293.\nAnswer: -255638790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65661 + -2245?\nAnswer: -70126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 99665 divided by 8\nAnswer: 99665\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/((-4)\/(-24)). Let u(y) = -10*y**2 - 2*y - 3. Let c be u(3). What is the remainder when 33 is divided by c\/(-6) - (-1)\/d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/8058 and 19\/2261612.\nAnswer: 6784836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5)\/q)\/q)**14\/(q**3\/q*q*q*(q**4*q)\/q*q*q) assuming q is positive.\nAnswer: q**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrbnbbrgrbrgrjrj. What is prob of sequence njj?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 + 88 + 101 - 2825*r - 286 as n + b*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaqaaaaaamaqaaq. What is prob of sequence aa?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**2 - 9*t + 17. Let f(g) = -g**2 - g + 2. Let z(x) = -x**3 + 8*x**2 + 6*x - 24. Let a be z(9). Let k(c) = a*f(c) + 6*q(c). Give k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m + 0*m**2 + 0*m**3 - m**3 - 2 - 2*m**4 + 2*m**2 - 6*m in the form w*m + q*m**4 + l + z*m**3 + c*m**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 4. Let p = -4 + x. Let r be 9 - ((-3)\/(-12))\/(1\/28). Solve r*l + 2*l + 8 = p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855013371.\nAnswer: 31, 1291, 46351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30936, -30937, -30940, -30945, -30952, -30961, -30972?\n\"Answer: -l**2 + 2*l - 30937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.84 + -19.66. Let c = x + 21.5337. What is c rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**3\/6 - 2*j**2 - 90*j + 1. Let r(q) = -2*q + 6. What is -8*f(c) - 5*r(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + f**2 - 2*f + 5. Let p be j(0). Let g be 34\/p - 12\/2. Put 4, g, -5\/3, 1 in decreasing order.\nAnswer: 4, 1, g, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (869\/869)\/((-6)\/21*1)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23424 (base 5) to base 8\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = 3*n + 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4988 divided by -58\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(35)\/sqrt(5)*1 - (sqrt(1008) + 2)).\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3194890 divided by 2\nAnswer: -1597445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -2, -4, 5, -369 in ascending order.\nAnswer: -369, -4, -2, 5, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q**2 - q + 3*q**2 + q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u - 59. Let z be s(-11). Find the third derivative of -2 - 22*n**5 + 2507*n - 2507*n - z*n**2 wrt n.\nAnswer: -1320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/11 and 79\/49462.\nAnswer: 544082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Suppose 4*p = v*p + 111. Suppose 5*l + f - p = 69, -3*f = 2*l - 72. What is the highest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722413.3 grams to milligrams.\nAnswer: 722413300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and 87\/100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 13. Suppose -3*y + y - 173 = -3*v, r = 3*y. Let i = v + -34. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029476.\nAnswer: 2, 7, 36767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1775294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 12 (c) 7 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*m + r, m - 5*r - 5 = -4*m. Suppose 24*f**2 + 3*f + 9*f**5 + 33*f**4 - 6*f**m - 3*f**4 + 36*f**3 = 0. What is f?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141775 and 370?\nAnswer: 10491350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/20064 and 17\/17514?\nAnswer: 58566816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f - 15. Let p(o) = -3*o + 4. Let l(y) = 3*y - 3. Let g(u) = 3*l(u) + 4*p(u). Let d(s) = -5*g(s) - 2*n(s). Find the first derivative of d(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501765540 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 2*l**2 + 7*l**2)*(-1 - 1 + 1) - 184*l**2 + 248*l**2 + 608*l**2.\nAnswer: 671*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 448999, 449047, 449127, 449239, 449383, 449559?\n\"Answer: 16*b**2 + 448983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-18))\/(u*u*u**(-5\/8)\/u*u)*u**(-11)\/u**6 assuming u is positive.\nAnswer: u**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22319 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j. Let n(p) = -12096*p**2 - 616*p. Let f(l) = -59*l**2 - 3*l. Let v(g) = 1232*f(g) - 6*n(g). Calculate v(b(i)).\nAnswer: -1008*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251 + -252. Let w = 103\/6 + -34523\/2010. Which is bigger: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002498 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4484?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 527608, 1055218, 1582828, 2110438?\n\"Answer: 527610*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-3))*p**(-2\/11))**(-5\/4) assuming p is positive.\nAnswer: p**(-155\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53083?\nAnswer: 109, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*f - 48, -3*f + 0*f - 22 = -2*r. Let x = 323 + -311. Suppose -x*k = -r*k. Solve -2*p + p - 4 = k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171 - 171 - 3*m to the form p*m + w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167540 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1e43 (base 15) to base 3\nAnswer: -100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n - 3*c = 51, 88 = 5*n - 2*c. Suppose -5*q + 17 = 4*f, -4*q + n = 5*f - q. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cb (base 14) in base 4?\nAnswer: 23333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 9:12 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(sqrt(162) - sqrt(162)*-2)*-2*-3)**2.\nAnswer: 209956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52612101 (base 7) to base 14.\nAnswer: -8403a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*z - 4*m, 3*z - 4*m - 9 = 9. Suppose -z*o = o - 24. Solve -k + 2*k + 5*l + o = 0, 3*k = -2*l + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r**2. Let l(n) = 3588132*n**2. Give l(m(g)).\nAnswer: 358813200*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -307, -544, -735, -880, -979?\n\"Answer: 23*k**2 - 306*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -466\/3 + 170. Calculate the common denominator of h and 1 + ((-2)\/(-24) - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 + 52 + 41 + 42 - 263 - 62*g**3.\nAnswer: -62*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 26*v**2 + 58*v - 54. Let p be s(28). Let j(l) = -3*l**3 + 2*l**3 + l**2 + 5*l**2 - 13*l**p. Determine j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(12\/(-4)))\/(19\/57)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00050065 rounded to 5 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -852 + 2255. What are the prime factors of l?\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -565, -591, -621, -655?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 826423.9 decades in months?\nAnswer: 99170868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1511100)\/216)\/115*66\/(-55)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1274 and -0.04?\nAnswer: 1274.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c - 239 + 239)*(-1 + 2 - 2) + 3*c - 7*c + 3*c + (3*c - 6*c + c)*(3 - 4 + 2) + c - 2*c + 5*c + 2*c + 4 - 4.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*f**2 - 176*f**2 - 101*f**2 - 436*f**2.\nAnswer: -608*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmsmmhmh. Give prob of sequence ms.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(-4*sqrt(2)))\/sqrt(12).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 1 - 2 + 3)*(-24 + 187 + 19)*(5 + 0 - 4).\nAnswer: -182*a**4 + 364","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15b74 (base 12) to base 5\nAnswer: 1443143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1648*u**2 + 1986*u**2 - u + u - 326*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 1408364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 33*v**2 + 264*v + 34. Give i(-11).\nAnswer: 1123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4)*(54*g**3 - 5523*g**4 - 54*g**3 - 3495*g**4 + 2127*g**4) as n*g + j + d*g**2 + b*g**3 + f*g**4 and give f.\nAnswer: 13782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - p - 6 = 0, -3*p + 13 = 5*v + 26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.107244 and -35037181.\nAnswer: -35037180.892756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.061 and -766?\nAnswer: -46.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 443421, 886766, 1330109, 1773450, 2216789, 2660126, 3103461?\n\"Answer: -a**2 + 443348*a + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/267 and 28\/9.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/7 (b) 1 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103825168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -315599 not equal to -315599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 22222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 168*y**3 + 77.\nAnswer: 168*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-68)\/(-3) + (-14)\/21.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0 - 6*n**2 - 2*n**4 - 4\/3*n**3 + 0*n. Differentiate w(c) wrt c.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4261*s**2 - 72*s - 639539?\nAnswer: -8522*s - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(315))\/(sqrt(270)\/sqrt(6) - sqrt(5)))\/((sqrt(63) - (2*sqrt(4032) - sqrt(4032)))\/((-1*sqrt(63))\/sqrt(9))) + -1.\nAnswer: -3*sqrt(7)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 - (151 - 180).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41607 by 41607.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -4, 11, 32?\n\"Answer: 3*h**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsbj when four letters picked without replacement from {s: 1, p: 2, x: 2, b: 1, j: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 5*p**5\/12 + 17*p**2 - 7. Let u(y) be the third derivative of -y**4\/24 - 25*y**2. Calculate u(b(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 2. Let h(b) = -7*b - 3. Let t(i) = -5*h(i) - 6*r(i). Let q be t(0). Suppose q*j - 6 = 3. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 41*f - 14. Let y(g) = 12*g - 4. Let x(a) = -4*s(a) + 14*y(a). Let p(v) = 58*v. What is p(x(c))?\nAnswer: 232*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 - 131. What is the nearest to 1 in -0.07, -1\/3, u?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47890 - -31848. Let f = -16034.897 - q. Let n = 0.103 - f. Put n, -2, 0.1 in decreasing order.\nAnswer: 0.1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*((-4 + 0 + sqrt(2057))*-3 + -4) + 4.\nAnswer: -188 + 792*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {h: 2, s: 1, u: 1, i: 1, e: 1, z: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69611*m*v - 460296*m wrt v.\nAnswer: -69611*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350269 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 + 0.06. Let t = 7717\/34 + -227. Which is the closest to t? (a) 3 (b) 1\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*n + 2. Suppose 0 = -4*t + p + 3*p + 24, 2*t + 8 = -2*p. Sort t, -2, n in decreasing order.\nAnswer: t, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*(-25)\/(300\/(-18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 941409 and 945?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6523 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z + 1\/12*z**4 + z**2 + 2 + 0*z**3. Let i(r) be the second derivative of o(r). Let x(k) = -k**2. Calculate x(i(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**2 - 2*c + 7. Let t(l) = 7*l**2 + 3*l - 9. Let o(u) = -5*k(u) - 4*t(u). Calculate o(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**2 - 29728*g + 89223. Determine l(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -272, -622, -1174, -1964, -3028, -4402, -6122?\nAnswer: -8224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 5*i + 37 = -13*l, 33*l + i + 193 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5*t - 2. What is the remainder when 285 is divided by w(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -46719 and -46720 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 0.899?\nAnswer: 0.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5)*4*6 + (sqrt(5) - 5*(3 + sqrt(5))**2).\nAnswer: -70 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2381705 is divided by 232.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 25896.\nAnswer: 25896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1812 = 2*a, -4*a + 3*u + 3599 = -0*a. What is the hundreds digit of a\/(-6 - -2)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*z = -167*z. Solve -2*y + 5 = -i, z = -y - 2*y + 3*i + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -123*m. Let y(d) = -33 + 14 + 9 + 10 - 6*d**2. Calculate y(w(h)).\nAnswer: -90774*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84442639?\nAnswer: 139, 163, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2fe5 (base 16) in base 14?\nAnswer: -467b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4035*n + 208 = -4051*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/120 and -89\/32.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17295768 and 11?\nAnswer: 190253448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -37, -4, 4 in decreasing order.\nAnswer: 4, 3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - 1\/(-2)*-8. Solve 2*f + 1 = d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 22.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46, 98, 150, 202?\n\"Answer: 52*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 3:56 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 75*0.155\nAnswer: 11.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 4. Let n(t) = -1. Let l(d) = 4*n(d) - w(d). Let q(b) = 66*b**2. Give q(l(x)).\nAnswer: 66*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {h: 4, v: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-27\/7)*h**7\/h**4 assuming h is positive.\nAnswer: h**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (315\/(-12))\/(-7). Is f smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*w**3 + 204*w.\nAnswer: 564*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55513660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*z**2 - 422*z**2 - 4 + 4.\nAnswer: -1020*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0*k**3 + 4*k**3 + 2*k**2 - 5*k**3 + 2. Let j(l) = 4*l + 7. Let p be j(-2). Let t(u) = -u**3. Determine p*a(o) + 2*t(o).\nAnswer: -o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*l**4*n + 17*l**4 + 4*l**3*n + 37*l**2*n + 3*l**2 - n - 7 wrt l.\nAnswer: -912*l*n + 408*l + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 15*d**2 - 19*d - 17. Let b be a(-16). Find the third derivative of -b*z**5 + 32*z**2 - 72*z**5 + 13*z**2 wrt z.\nAnswer: -6180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4}. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-1836)*((-55)\/30)\/(-11)?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6)\/((-2)\/8*2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/77 + 1186\/22. Let w(c) = -17*c + i*c - 21*c - 49*c. Let v(q) = -4*q**2. What is w(v(f))?\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-5)\/(-30)*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.5 + -35. Which is the nearest to 1? (a) 1 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**(1\/13) assuming g is positive.\nAnswer: g**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 136 = -2. Suppose -7*a - 5 = f. Let g be a\/(-8)*(-5 - -5). Solve g*o + 1 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 - (2 - (-2572)\/12). Let c = w + 356. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 8*v**2 - 7*v - 8. Let i be t(6). Let d be 121\/i + 6\/(-4). Solve 4*m + 0*s - 20 = -s, 0 = -m - d*s + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 9*p - 3*p + 16*p - 4. Suppose -3*x = -7*x + 28. Let k be (-2)\/3*(-9)\/(-3). Let q(m) = 4*m - 13. Calculate k*q(a) + x*u(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 73*m = -71*m - 47, -3*q - 4*m = -37 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 7. Let c be a(4). What is the units digit of (c\/4 - 2324\/(-16)) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 + 2*t + 3. Let y(h) = 8*h**2 + 2*h + 4. Calculate -3*k(q) + 2*y(q).\nAnswer: -5*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 4*u**2 + 5*u + 3. Let w be b(5). Suppose 0 = 2*i + w*s + 1 - 9, 5*s - 14 = -4*i. Let y(j) = 2*j**2 - i + 1. Let q(t) = 2*t. Give y(q(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*c**2 - 362*c**2 + 692*c**2.\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + 27*q - 40 = 5*n + 44*q, -67*n - 263 = q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 1\/80*y**5 + 9\/8*y**2 + y + 0 - 1\/48*y**4 - 3\/8*y**3. Suppose v(s) = 0. What is s?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + o + 0*o**3 + 3*o**2 - 3*o + 7 + 0*o. Let r be k(5). Let n = 491 - r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16143*m - 1226*m - 21687*m + 8715*m + 2305916 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69812 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (0\/(-5) - 18)*56\/(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -12. Suppose 4*b - x*y - 17 = -1, -2*y - 12 = 2*b. Let a = -0.9 + 1. Sort -3, a, b in ascending order.\nAnswer: -3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367 - 539*g - 708 + 340 to w*g + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4 - 1109*c**3 - c + 18 wrt c?\nAnswer: 24*c**2 - 6654*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 986463 and 219214?\nAnswer: 1972926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + w + 68 = 0, -2 = 2*a + w - 54. What is the lowest common multiple of 138 and a?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/7 and 4\/535.\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -68, -75, -44, 37, 180, 397?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 3*h - 2*h)*(-3 - 2*h + 3) + (-75*h - 29*h + 210*h)*(-h + 2*h + h) in the form j + d*h**2 + t*h and give d.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -958*0.09.\nAnswer: -86.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 675 = 6*u. What is the greatest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 2*f + 5*f + 4*f - 2*f + f + 4*f - 2*f - f + 0*f + 2*f - 3*f + (1 + 0 - 3)*(2 - 2 - 2*f) + f + 3*f - f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (2 + -4) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.4 + 19.4. What is the biggest value in -4, 0.03, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -5 + 20 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 9. Let j = 56 + -36. Let o be (156\/(-65))\/((-6)\/j). What is the tens digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 79.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i - 3*q - 75, 4*q = 4*i - 148. What is the second derivative of 60 - 3*d**4 - 61 + 27*d**5 - i*d**5 - 23*d wrt d?\nAnswer: -180*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - -1) + (-3 + 3 - -20) + 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/154*(-273 - -284)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2607, 2877, 3147, 3417?\n\"Answer: 270*l + 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 18980*z + 18012020 = 0 for z.\nAnswer: -1898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871 is divided by 87\/(-15) + (-1 - -7) - (-194)\/5?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 10\/3*f**3 + 0*f - f**2 - 9. What is the second derivative of u(o) wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 4*z**2 + 28 + 27*z**2 + z + z as f + s*z**2 + h*z and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 8 = 0, 9*y - o = 12*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + b + 2)*(6 - 6 + 7*b**2) + 2*b**3 - 3*b**3 + 3*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44537*a**6 - 52526*a**2.\nAnswer: 5344440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9807.767863 to one dp.\nAnswer: -9807.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from ccw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 2382, 8022, 19008, 37122, 64146, 101862?\nAnswer: 152052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14668272 by 101863.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7, 3\/2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 - g**4\/2 - 7*g**3\/3 - 10*g**2 - 516*g + 4. What is c(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4479 divided by -4479\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 442\/219913?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.686 and -60.14822041.\nAnswer: -61.83422041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*j + 71. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -133593658.1?\nAnswer: -133593658.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5*a = -3. Suppose x - a = -1. Suppose 35 + 10 = 5*l. What is the least common multiple of l and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -923308455099 and -3.\nAnswer: -923308455102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20814588*q**2*u**2 - 4*q*u**2 + 3*q*u - q - 106115*u**2 wrt q.\nAnswer: 41629176*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 73.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**10\/15120 + s**9\/7560 - s**8\/840 - s**7\/315 - s**4\/24 - 29*s**2. Let k(h) be the second derivative of y(h). Factor k(j).\nAnswer: 2*j**2*(j - 2)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2764909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 5*p**2 + 0*p + 2*p**3 + 9\/20*p**5 - 27\/140*p**7 + 27\/80*p**6 + 0 - 7\/4*p**4. Suppose j(w) = 0. What is w?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1904, -2038, -2244, -2558, -3016, -3654, -4508, -5614?\nAnswer: -7008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p + 35*p + 64 = 25*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 3, 1\/6.\nAnswer: 0.1, 1\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30879 + 30879.4. What is the smallest value in 2\/7, -1\/10, 5, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -5, 0.36, -11\/14, -3?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000739316954 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -5*o - 1033, -3 = -k. Let s = 224 + o. Let y be (1 - -3)*2\/4. Calculate the highest common factor of s and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*r**4 - 2*r**3 - 2*r**2 + 143*r.\nAnswer: 456*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9544 less than or equal to -9545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:29 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 750, 1493, 2234, 2973, 3710, 4445, 5178?\n\"Answer: -k**2 + 746*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s + 24. Let x be (-6)\/(-8)*(1 + s). Let b(l) = 2 + 0 + 3 - 2 + l. Give b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 + 3 - 3 + (10*g**2 - 12*g**2 + 3*g**2)*(0 + 2*g**2 + 0) + 3*g**4 - 8*g**4 - 2*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 623, 630, 649, 686, 747, 838, 965?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 3*s + 0 - 7. Let r be v(-6). Let j be 1*2*((-1098)\/12)\/61. What is the second smallest value in 3, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxrrxdydrddxyrxd. What is prob of picking 1 y and 2 x?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 + x. Let u(j) = 18*j**4 + 2*j**3 + 19*j**2 + 2*j. Let f(v) = 2*d(v) - u(v). Find the third derivative of f(h) wrt h.\nAnswer: -432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b**3 + b**3 - 3*b**3)*(b + b + 0*b) + (4*b**2 - 2*b**2 - 3*b**2)*(b**2 + b**2 - b**2) in the form g + r*b**4 + k*b**3 + n*b + x*b**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 1\/330*x**6 + 1\/165*x**7 + 0 + 3*x**2 - 7\/330*x**5 + 0*x**3 + 0*x - 1\/66*x**4. Solve a(k) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 2)*2\/(-6). Let s be 3*-4*x\/12. Let j(v) = v**2 - 1. Let a be j(s). Solve 0 = -3*z + a + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2543*s**3 + 1629*s**3 - 12390*s**3 - 4 + 0 + 3.\nAnswer: -13304*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-10) - (1452\/(-60) - -11). What is the greatest common factor of 525 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q**2 + 226*q + 1361. Calculate h(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -496 - -883. Suppose -d + 0*i + 128 = 2*i, -f = -3*d - 3*i. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/11)\/(t\/(t*t**7)) assuming t is positive.\nAnswer: t**(81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62966?\nAnswer: 2, 19, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 4875 = -b. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 9*r**2 + 6*r + 2. What is l(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/8, -1.9, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-69)\/12*205\/(-369) and 77\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5808707157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((2\/6)\/((-40)\/12)). Calculate the highest common factor of 80 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5241414436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-5928)\/12382) + 0. Let y = 4\/247 + j. What is the common denominator of y and 37\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 98. Let d be 55\/44 + (-3)\/s. What is the third smallest value in d, -1.5, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-6)\/(-4) + -1). Let f(r) = -5*r. Let h be f(q). Solve -4*s - s - h = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2 + 432*o + 788. Give a(-35).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 + 340*c**4 + 1404*c**3 + 1772*c**2 + 712*c = 0.\nAnswer: -2, -1, 0, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(330)\/(sqrt(72)\/(sqrt(12)*-2)))\/(sqrt(5) + sqrt(40)\/sqrt(72) - (sqrt(405) - 2*sqrt(405))))**2.\nAnswer: 48*sqrt(11)\/31 + 15772\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*g + 2 - 6, 3*g - 2 = -2*f. Suppose -q + 2 = -f. Solve -m + 13 - 4 = -q*z, 3*z = -m - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*y**3 - 43*y**3 + 73*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 356\/7 - 51. Is -2\/13 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5998*a + 1086*a + 18772*a + 236*a + 1166*a.\nAnswer: 27258*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 509897 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 3*u**2 + 2*u - 1. Calculate the remainder when (-111)\/(-1) - 43 - -1*8 is divided by g(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wssx when four letters picked without replacement from {w: 3, x: 15, s: 2}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151524, -151521, -151520, -151521?\nAnswer: -151524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59089, 118594, 178099, 237604, 297109?\nAnswer: 356614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9202 and 801572417?\nAnswer: 4601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -3*b + 7*b - 3*o, 148 = 3*b + 2*o. Let d be 10\/b + 12\/(-5) - -3. Suppose d + 4\/5*k + 1\/5*k**2 = 0. What is k?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15*g + 2. What is l(4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 4*m - 6, -m - 15 = 2*p - 4*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -21*m**3 + 171*m**2 - 168*m. Let g(a) = -5*a**3 + 43*a**2 - 42*a. Let x(h) = 2*c(h) - 9*g(h). Factor x(d).\nAnswer: 3*d*(d - 14)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 3*k + 29*k as w*k + l and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -147 divided by -3\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(0 - 24799\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 - -162. Let u be (-539)\/(-35) + (-2)\/l. Solve 5*z + u = 5*i, -6*i + i - 10 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1102 + 585. Let m = 526 + a. Solve -3*k - 2*r + 14 = 0, 5*k + 7*r - m*r - 18 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78663 is divided by 8738?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-9 + 4 + (-3 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4510 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**5\/9 + 176032*b**4\/9 - 14454476*b**3\/9 + 310556840*b**2\/9 - 578454400*b\/9 + 282176000\/9 = 0.\nAnswer: -44090, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 5*s**3 - 4*s**3)*(-2*s + 1 - 1) - 7*s**4 + 5*s**3 - 5*s**3 - 2*s**4 + 10*s**4 - s**4 + 8*s - 6 + 2*s**4 - 9*s + 2.\nAnswer: 6*s**4 - s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12559, 100588, 339513, 804778, 1571827, 2716104, 4313053?\nAnswer: 6438118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:46 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-3))\/4*213\/142.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2148 + 1389. Round w to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 554017.6 years to millennia.\nAnswer: 554.0176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q**2 + 4*q. Let l(w) = -51424*w. Determine l(y(c)).\nAnswer: 617088*c**2 - 205696*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6, 3*l = -0*d - 3*d + 204. Calculate the smallest common multiple of 120 and d.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21.523736, 0.4, -0.4 in ascending order.\nAnswer: -0.4, 0.4, 21.523736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -387780.41227 to the nearest 10.\nAnswer: -387780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d + 0*d + 8*d to the form z + v*d and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 6*w + 7. Let j be (-1 - 1)\/((-3)\/6). Suppose -5*r - 40 = -3*g, 3*g = -j*r + r + 72. What is the least common multiple of g and k(-7)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.91 * -0.1\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4067?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 292603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let z(d) be the third derivative of -d**5\/60 - 4*d**3\/3 - 2*d**2. Let h(i) be the first derivative of z(i). Give h(x(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455304 by 61.\nAnswer: 7464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 112*x**2 + 120*x + 287. What is y(-57)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 149, 378, 709?\n\"Answer: 51*u**2 - 26*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236 - -13. Let k = 156 + -183. Calculate the common denominator of q\/(-12)*6\/k and -57\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 1614 + 3312 + 4*l - 1698 + 3*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133597 is divided by 271?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*p - 136*p - 105*p + 270 - 27*p - 270 + (0 - 3 + 4)*(p - 5*p + 2*p) + 4 + p - 4 to the form w + u*p and give u.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 6 - ((-10)\/2 + -2). Solve b*h = -4*v - 8, -2*h = 3*v + h + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 2*w)*(-5*w**4 - 10 + 10) - w**5 + 2*w**5 + 0*w**5.\nAnswer: 11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -51*p + 20. Let t be d(10). Let o = 486 + t. Which is the third biggest value? (a) o (b) -13 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2.1, 26.76?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 16*h**2 - h + 12. Let r be s(16). Which is the fourth smallest value? (a) -2 (b) r (c) 2\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1885 and 53992055?\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 5*f + 83 + f**2 - 2*f - 35 + 2*f. Is l(0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -407, -213, 1125, 4177, 9513, 17703, 29317?\n\"Answer: 95*b**3 + 2*b**2 - 477*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 41. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192597462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, -12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43221 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1004?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 4:15 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-15)\/(-6))\/5. What is the common denominator of -83\/18 and 4 - u - 310\/140?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.55 != 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 2 q when four letters picked without replacement from yqldcaql?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.88253217 to 1 decimal place.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - w + 2*w)*(0 + 0 - 2*w)*(-9 + 11 - 13) to the form x + l*w**2 + r*w and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j. Let w(q) = 2*q. Let u = 127 - 91. Suppose 9*a - u = -0. Determine a*g(x) - 6*w(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3192455, 3192456, 3192457, 3192458, 3192459?\n\"Answer: j + 3192454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 91 - 9. Let w(c) be the second derivative of 0 - 1\/130*c**d + 0*c**3 + 0*c**2 + 1\/78*c**4 - 3*c. Suppose w(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1*(-4 - -3). Suppose -3*a - 3*t + 12 = -282, 0 = 2*a - z*t - 188. Suppose 0 = -6*q + 2*q - a. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7056) - (sqrt(7056) + sqrt(7056) + sqrt(7056)*2))\/(sqrt(7) + (sqrt(7) - sqrt(28)\/sqrt(4)*-4) - sqrt(7)) + sqrt(42)\/(sqrt(324)\/sqrt(6)) + -2.\nAnswer: -103*sqrt(7)\/15 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73085819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16542 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 3)*(-4)\/(-2). Calculate the remainder when (-128)\/(-7) + z\/(-21) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**3 + 5*s**2 - 7*s + 4. Does 19 divide q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/2))**27*a**(-7)*a*a**(1\/12))**(-10\/7))**(-44) assuming a is positive.\nAnswer: a**(45650\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6285 (base 11) in base 14?\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/9? (a) 0.4 (b) 1\/51 (c) 217 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28\/308 - (-28158)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 11. Let t be f + -1 - (-68)\/18. What is the second biggest value in -5, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + 5*j + 9. Let s(o) be the first derivative of -2*o**3 - 4*o**2 - 14*o - 23. Let c be 1300\/(-520)*(2 + 0\/(-1)). Give c*s(l) - 8*g(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 14081?\nAnswer: 14077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 0 (c) -0.019 (d) 112001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.771986kg to tonnes.\nAnswer: 0.003771986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-1 - 2\/(-2)). Let s(w) = -w**2 - w - 1. Let t(n) = 3*n**3 - 3*n**2 - 5*n - 6. Let k(i) = 5*s(i) - t(i). Calculate k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18d + -4?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 41*y + 114*y = -46*y. Solve 2*l = -t - 1, y*t + 2*l - 2 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 500131809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a3d92 (base 14) to base 5.\nAnswer: 1242143223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1960400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t - 4*c + 48, -3*t + 64 = -4*c. Let y(j) = 25*j**2 + 6*j**3 + 2*j - 8*j**2 - 6 - 7*j**3 + 2. Calculate the remainder when y(17) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 284.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = 0. Let x = 296\/15 - 10922\/555. Which is bigger: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202020000210 (base 3) to base 12.\nAnswer: 389aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 2. Let h be (-36)\/21 + 16\/(-56). Let y(v) be the third derivative of 5*v**4\/24 + 3*v**3\/2 + v**2. Give h*y(n) - 9*s(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 6, -3*p + 19 = 2*x. Suppose -x*s + 32 = 6*q - 8*q, 0 = 3*q + 15. Sort -3, 0, -2, s.\nAnswer: -3, -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*n + 1139 - 89. What is the greatest common factor of n and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**4 + 9*q**4 - 71*q**4 + (3*q**2 + 2*q**2 - 3*q**2)*((-q + 4*q - q)*(3 + 2*q - 3) - q**2 - 2*q**2 + 2*q**2).\nAnswer: -49*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229119516?\nAnswer: 2, 13, 42867683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 - c. Let s be l(-2). Let g = 6 - s. What is the second derivative of 2*u - 3*u**3 + g*u + 0*u**3 wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2648454255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23840753 and -3.\nAnswer: 71522259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0\/(y\/(y*y*y\/(y**(-5\/6)*y))) assuming y is positive.\nAnswer: y**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15352016 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002211 - 3?\nAnswer: 1002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*u - 21 = 0, -3*c + 5*u = 6*u + 8. Let t(y) = y**2 + 2*y + 6. Let l be t(-4). Calculate the remainder when 17 is divided by c - l\/(0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9 + 80\/(-6). Let k = 29 - t. What is the highest common factor of k and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -5*z - 86, 3*y - 2*z - 368 = 0. Is y smaller than 0.79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -140*v**3 + 1009952*v**2 + 2078192*v + 115456 = 0.\nAnswer: -2, -2\/35, 7216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let p = 41 - 31. Suppose a = s - 4*s + 2*v + p, 5*v + 25 = 4*s. Is -1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -5, -10, -25.\nAnswer: -25, -10, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v + 2*v)*(-38*v**2 + 25*v**2 + 30*v**2)*(-2 - 1 + 4) to l + n*v + b*v**3 + h*v**2 and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1\/2)\/g)\/g)\/(g\/(g*g*g*g**4*g*g)*g))**(1\/41))**(1\/13) assuming g is positive.\nAnswer: g**(9\/1066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9460 + 9465. Let u(q) be the second derivative of -q**5\/20 + q**4\/3 + q**3 - q**2\/2 + 2*q. What is u(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-261)\/(-15) - 3\/(-5). Let v = -8 + n. Calculate the greatest common divisor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 11 = 3*i, 0 = 5*g + 5*i - 5 - 10. Calculate the greatest common divisor of g and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55423.07483 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = -c. Suppose 4*l - 60 = 3*s + 2*s, 3*l + c*s = 14. What is the greatest common divisor of l and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 323\/3, 10\/41, 2?\nAnswer: 323\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*m + 5*m. Let n be (21\/(-5) - m)*-1. Factor -1\/5*h**4 + 0 + 1\/5*h**3 + n*h**2 - 1\/5*h.\nAnswer: -h*(h - 1)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 + 247 - 9*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 - 6*h**2 + 3*h - 5*h**2 + 4*h**3 + 2. Suppose 8*z = 2*z + 66. What are the prime factors of k(z)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -39. Let v be (-2)\/(m\/(18\/(-4))). Is (-466)\/(-3)*(v\/2 + -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by 54\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p. Let x(j) = -33*j**2. What is o(x(d))?\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323*m**5 + 107*m**4 - 127*m**2 + 3*m wrt m?\nAnswer: 19380*m**2 + 2568*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = 48. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 1581, -3\/8 in ascending order.\nAnswer: -64, -3\/8, 1581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/((-385)\/15) + 47911\/7. Suppose 0 = -14*m + u - 278. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-45))\/((-1)\/(-15)). Suppose -v + 5*t + 382 = -101, -4*v = -o*t - 1932. Let m be (131\/v - 4\/14)*3. Is 1 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:07 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 3*(-16)\/(-12) - -4*8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.8. Let g = u - 1. Let j = 0.2 + -0.4. Which is the third biggest value? (a) j (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436 divided by 252?\nAnswer: -109\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-332)\/(-252) - (-2)\/18?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**2 - 7*d + 2. Let z(g) = -5*g**2 + 3*g - 1. Let k(b) = -4*i(b) - 9*z(b). Give k(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1160*o + 1162*o + 2*f - 8 = 0, 0 = 2*o + f - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 121752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((136\/357)\/(68\/306))\/((-2)\/98*-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -731.567\nAnswer: -292.6268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1193\/4 + -299. Which is the third biggest value? (a) n (b) -0.1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4*(-44)\/160)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84638 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10 (b) -4\/13 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13008 is divided by 1036?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 375 = 349 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004067785267 to 4 decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-744)*(-1362)\/4. Let g = 18\/31 + x. Calculate the common denominator of 7\/6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3708135 divided by -95\nAnswer: -39033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let t(d) = 16*d**2 + 7. Let r = -1 + 3. Let n(y) = -2*y - r - 5*y**2 + 2*y. Let f(j) = 7*n(j) + 2*t(j). What is f(k(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1)*(-1475 + 513 - 209)*(d + 3 - 1 + 0).\nAnswer: 3513*d + 7026","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 - 157. Suppose -2*y - 669 = -n*j - 85, 2*j - 5*y = 308. What is the remainder when j is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3534 and 0.5.\nAnswer: 3534.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 25. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51b5 + -4?\nAnswer: -51b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 2 - 10008*c**2 - 8801*c**2.\nAnswer: -18809*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -593 + 592. What is the third biggest value in 5\/7, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:08 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12. Put -5, 0.4, a in descending order.\nAnswer: 0.4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, -0.0355 in descending order.\nAnswer: 5, 2, -0.0355, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*q - 18 = 0, -q - 4 = 2*t - 5*q. Solve t*o = -3*d + 13, -5*o = 3*d - 17 - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1775 = 6247. Suppose -2*r - y = -t - 4*r, -5*t = 5*r - 11190. Suppose t = 2*n - 4*n. Round n to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) - (sqrt(539) + 2)) + sqrt(539))**2 + -5 + 4)*-5 + 4 + ((1 + sqrt(539))**2*6 - 1*(0 + sqrt(539))) + -4.\nAnswer: 530 + 217*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27882, 27820, 27758, 27696, 27634, 27572?\nAnswer: 27510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182*h**5 + 96*h**2 wrt h.\nAnswer: -10920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 12*t**2 + 459*t**2 to w*t**2 + z + r*t and give w.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((20 - (7 - (7 + -10))) + 6)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -3, 10.5, 5\/2, -2, 0.14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/80)\/((168\/(-20))\/(-2)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w - 1. Suppose -m + 4*m - 12 = -3*f, -3*f - 28 = -5*m. Let s = m - w. Sort 1, s, 5 in decreasing order.\nAnswer: 5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211628.1 rounded to the nearest 1000?\nAnswer: -212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times -0.041\nAnswer: 0.0533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 701 + 5*u**3 + 13*u**3 + 134 - 22*u**3 + 6*u**3 to the form t*u**3 + z*u + i + a*u**2 and give i.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 230?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4462644, -11, -3\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04546066406 rounded to six dps?\nAnswer: 0.045461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/13 (b) -2\/3 (c) -0.5 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-464611.\nAnswer: 371688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2 = 5*x, -2*y + 14390*x + 2 - 2 = 14387*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 4844.\nAnswer: -2422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 - 7*a**2 + 9 - 9.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90168 and 2750124?\nAnswer: 5500248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23458 - 560*q**2 + 6009*q + 112*q**2 + 4*q**3 + 1751*q - 13342.\nAnswer: 4*(q - 92)*(q - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-3471\nAnswer: -3471.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 13. Let f be (-394)\/r - 8\/44. Let v be 3\/(f\/(-16))*3. Solve v*k = -10 - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 301 = z + 8*r, -z + 5*r - 292 = 0. Let k be z\/(-4) - 8\/32. Suppose 2*q + 20 = k. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1\/3)\/(3 + (-129520)\/43176)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-39))\/(4\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46697 - -1?\nAnswer: -46696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -342 + 358. Let g(c) = -72*c - 12. Let r(w) = 14*w + 2. Let n(y) = a*r(y) + 3*g(y). Determine n(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(3*r**2 + r**2 - 3*r**2) + 6*r**2 - 2*r**2 - 3*r**2 + 6*r - 3*r**2 - 6*r + 3 - 4 - 5*r**2 + r**2.\nAnswer: -8*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766684 is divided by 153327.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-1155)\/20))\/(1156\/705738)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1275, -3, -206\/9.\nAnswer: -1275, -206\/9, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7679 and 14261.\nAnswer: 99827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 295a970 (base 11) to base 3\nAnswer: 100120002210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*x - 14, f - 2*x - 17 = -4*f. Let l = f + -1. Solve 3*t**3 - 3*t**5 - 5*t**4 - 3*t**l + 4*t**4 + 4*t**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9954 + -2570. What is the least common multiple of 20 and r?\nAnswer: 36920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5533*f + 4931*f + 68026 = 0 for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 814 - 807. Suppose 3*v - 4*a + 24 = m*v, 4*v - 2*a - 30 = 0. Solve 3*h = v - 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 118 = -4*r - 6*o, -702*r - o + 86 = -698*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, v: 1, m: 1, f: 1, d: 1}. Give prob of picking 1 d and 1 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -6040 divided by 477\nAnswer: -6040\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 + 2.47. Let o = r + -0.76999967. Round o to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + h - 4*h + (1 - 2 - 1)*(-2*h + 2 - 2))*(1086581 - 1086577 - 60*h + 568*h) as a*h + k + z*h**2 and give z.\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-12))\/(1\/(-14)). Suppose 0 = -i*d - 5*d - 684. Let o = -53 - d. Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 845*p = 842*p - 150. Which is smaller: -53 or p?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7797\/17 and 460 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 5*h**2 - 3*h + 6. Let u be m(-6). Let q = -57 + u. Solve 0 = 3*w - 2*f + 4 - 1, -q*f + 1 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8412, 3, -2, 5 in descending order.\nAnswer: 8412, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -27*k**2 - 7*k. Let w(j) = 53*j**2 + 13*j. Let z = 29 + -18. Give z*c(y) + 6*w(y).\nAnswer: 21*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*m**4 + 2*m + 0*m + 2 + 445*m**4 + 4 - 219*m**4 - 16*m**2 as l*m**4 + s + z*m**2 + i*m**3 + h*m and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eddd when four letters picked without replacement from cheddde?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20047 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -211 and 0.01476.\nAnswer: -3.11436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-297)*90 + (-80)\/6)\/((-10)\/144)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351 + -346. Suppose 83 - 87 = -o, -w*f + 2*o = -6647. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1 - 7*b + 12*b + 9 - b**2. Suppose 3*o - 3*d - 26 = -2*d, 4*o - 8 = -4*d. Give r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78491479301 + 6?\nAnswer: -78491479295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17570*t - 2772*t + 10225*t + 243642 - 243642 to j*t + s and give j.\nAnswer: 25023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-3 - -6) - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**(-9))\/s*s\/s**(-5)*s)\/(s*(s\/s**(2\/11))\/s*s*s*s**12))**(-27) assuming s is positive.\nAnswer: s**(4698\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14382 is divided by 238?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/4)\/((-1)\/(-1)*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f**3 + 2 + 151*f**2 - 146*f + 290*f - 148*f. Let c(x) = x**3 - x**2 + 2*x - 1. Let o(v) = 2*c(v) + r(v). Find the third derivative of o(w) wrt w.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c. Let m(q) = -3*q. Let u(j) = 3*h(j) + 12*m(j). Let z(g) = 3*g. Let y(v) = v. Let w(x) = -2*y(x) - z(x). Give u(w(a)).\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.3875 kilometers in millimeters?\nAnswer: 892387500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*y**2 - 5541*b - 137011*y**2 with respect to b.\nAnswer: y**2 - 5541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34 - 13*q**4 - 3*q**3 + 6*q**3 - 3*q**3 wrt q.\nAnswer: -52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -37, -49, -57, -61, -61, -57?\n\"Answer: 2*h**2 - 22*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1901399 or 1?\nAnswer: 0.1901399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - u**2 + 4*u**2)*(0 + 0 - 2*u) - 2*u**3 + 2*u**3 - u**3 + 3*u**3 - 3*u**3 - 6*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 12. Suppose -b*s + 44 = -3*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 + 190*a**2 - 193*a + 194. Give v(-39).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*y - 67 = 387*y - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*r**3 + 5*r + 2*r - 8*r.\nAnswer: -103*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -7*z - 3. Solve 12 = -3*b - 5*i, 2*b = -5*i - 9 + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227565401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -153893\nAnswer: 10\/153893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2 - 151*u + 104. Give v(-21).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/46, -0.5, 8\/5 in descending order.\nAnswer: 8\/5, -5\/46, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/3 of a century?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 323426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -105682876 divided by -4\nAnswer: 26420719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/(-10) - 3\/(-6). Let p(o) = o**3 + 4*o + 3. Let c be p(z). Let j = -21 - c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*g**2 - 94*g**2 + 50*g**3 + (1 - 1 - 8)*(-3*g - 11*g**3 + 3*g).\nAnswer: 138*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (360\/108)\/((-855)\/(-3942)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*b*k*w**2 + 4*b*k*w + 6*b*w**2 + b*w - 8*b + 20*k*w**2 + 2*k*w - 5*w wrt w.\nAnswer: 22*b*k + 12*b + 40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, -8, -4, -1 in descending order.\nAnswer: 240, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7639839?\nAnswer: 3, 257, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3930203851 to two dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0 (c) -812\/57 (d) -1\/8 (e) 0.4 (f) 212 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.6, -5945 in decreasing order.\nAnswer: 0.6, -5, -5945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00130589 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/10)\/((-7)\/(-14)))\/((-24)\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 829, 4961, 9095, 13231?\n\"Answer: l**2 + 4129*l - 3301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsvvcsvsxvccsssccss. What is prob of sequence vs?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 600 - -4125. Is g a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15454 - -146356?\nAnswer: 165143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1052423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-36)*88\/12. Let v = s + 1\/9. Let g = 0 + 0. What is the third biggest value in g, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*2)\/(-2))\/(143\/(-429)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 340. Let f = n + 2197\/8. Let b = -112.83 - -113.13. What is the nearest to 0 in 6, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u - 2*f - 4 = 70*u, 0 = -4*u - 4*f - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 6:58 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z, 3*z - 11 + 5 = 4*k. Calculate the remainder when 5\/1*(k + 7) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = a - 3, 4*a - 5*b - 40 = -45. Let h(m) be the third derivative of 0*m + 0*m**3 + a - 3*m**2 - 1\/24*m**4. Let x(f) = -17*f. Determine x(h(n)).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = 63 - 87, -3*a = 5*r - 54 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 14*k + 17. Let d be z(13). Find the second derivative of 10*s**4 - s**4 + 3*s**4 + d*s - 18*s wrt s.\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 14) to base 2.\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**7\/7560 + n**6\/720 - n**5\/180 - n**4\/2 - n**2\/2 - 3*n + 11. Let b(j) be the third derivative of z(j). Factor b(h).\nAnswer: -(h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -69, 1 in decreasing order.\nAnswer: 1, -41, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/1104*1308 - 26) + 4505\/(-3620).\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**2*m*q + 1551*j**2*m + 12*j**2*q - 3*j**2 - 55*j*m*q + 3*j*q + 3313*j wrt j.\nAnswer: -10*m*q + 3102*m + 24*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 27*r**2 - 11*r**2 - 2 + 13*r - 16 - r**3. Let v be m(-15). Solve 0 = -2*g - g - v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Suppose z*a + 2*a - 52 = 0. Let c(t) = -2*t**2 + a*t + t**2 - 13*t. Let m(k) = -2*k. Calculate c(m(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -525352 - -4352?\nAnswer: -521000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1500 by -60.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eae. What is prob of picking 2 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is de2 - 5?\nAnswer: ddd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146749 - 146738.0011. Let d = u - 11. Round d to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjj. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*o**2 - 8*o**3 - 2 - 429*o**2 - 2*o**3 - o**4 + 2*o + 217*o**2 in the form q*o + i*o**3 + t*o**2 + x + s*o**4 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 0.1 (c) 197 (d) -52 (e) 15 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a503 (base 12) in base 15?\nAnswer: 260c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0*p**3 - 2*p + 0*p + p**2 - p**3 + 6*p**2 - 3. Give a(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/2124 and 57\/20.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/2, 27, -0.1 in decreasing order.\nAnswer: 27, 5, 3\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*u - 5*b, -5*b + 17 = u + 4. Let n be 273\/((-1)\/(u\/14) + 5). Round n to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 199460302205 and 3095.\nAnswer: 199460305300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12*s - 7 + s - 2*s. Suppose 0*a + 4*a - 52 = 0. Let z = a + -6. Let q(f) = -6*f - 3. Determine z*q(r) - 3*c(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 255 + -129. Suppose 884 = 5*z - w. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/4 - u. Suppose -4*t - 6 + 22 = 0. Let j(a) = -4*a**2 + 2*a**2 + t*a**2. Calculate j(q(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22731, -45461, -68191, -90921?\nAnswer: -113651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 14169472?\nAnswer: -141694720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, q: 2}. What is prob of sequence fqq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 27 = 5. Let x(g) = -g**2 - 15*g - 7. List the prime factors of x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 330 + -336. Suppose 2*h - 32 = -2*h. Let g = h + i. Which is the closest to 2? (a) -5 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155428853?\nAnswer: 241, 644933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(1\/(-2))\/((-36)\/(-96)). What is the second derivative of -10*k - 18*k**4 + 2*k**3 - 2*k**3 + 33*k**y wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399720058 to the nearest integer?\nAnswer: 19993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*b**5 + 16*b**4 - 162*b**5 - 167*b**5 - 181*b**2 + 57*b**4 + 494*b**5 wrt b.\nAnswer: 60*b**2 + 1752*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0 + 5 + 1 - 4 - 1 - 1 + 3 + 2 - 2 - 1 + (-2 + 4 - 3)*(0 - 2 + 0))*(-q**2 + 0*q**2 + 3*q**2)*(0*q**2 - q**2 + 6*q**2)*(-5 + 2 - 1).\nAnswer: -200*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - c - 11, t + 22 = -5*c. Let o be t\/(-6) + (-68)\/8. Is o at least as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 1 + sqrt(128)*-4 + sqrt(128))**2 - (sqrt(72)\/sqrt(4) + -2).\nAnswer: -35*sqrt(2) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-6)\/p*(p\/(p*p*p**(6\/11)*p))\/p)\/(p**(-2\/7)*p)**30*((p*p\/(p*p*p**(3\/4)\/p))\/((p*p*p**(1\/7)\/p*p)\/p))\/(p**(-2\/13)*p**(-4)) assuming p is positive.\nAnswer: p**(-106959\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5359375*l**5 + 37699375*l**4 - 1288350*l**3 + 14708*l**2 - 56*l.\nAnswer: -l*(l - 7)*(175*l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -395*v**5 - 405*v**2?\nAnswer: -23700*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*o + 1657 + 15. What is the highest common factor of 17062 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*y + 308, 5*i = -59 + 49. Calculate the greatest common factor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = -2*z + 1423, 0 = 3*b - 2*z - 1439. Calculate the smallest common multiple of 63 and b.\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002853317 rounded to 7 decimal places?\nAnswer: -0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 379376 divided by -131?\nAnswer: -2896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Let g = -223944149\/420 + 533200. Let a = g + 9\/20. What is the third biggest value in a, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let j(f) = -h - 2 - 4 + f. Let q be j(9). Which is the closest to q? (a) -0.1 (b) 1\/3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4490 + 20974. What are the prime factors of c?\nAnswer: 2, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21951)\/(-16260))\/(33\/(-11)*2\/8)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 307672939543 and -314.\nAnswer: 307672939229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48325 is divided by 1727.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 311 + m**2 - 2*m**3 - 430 - m**2.\nAnswer: -2*m**3 - 3*m - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 99 - ((-1930)\/84 - (-560)\/(-23520))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from kkkmkkkkkkkkkkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5211799425 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695139 a multiple of 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 26 = -2*k - 5*j, -26 = -2*k - 5*j. What is the highest common divisor of 169 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(117)*-3 + -2 + -4 + sqrt(117) + -2)**2 + -3*(-3 + (6*2*sqrt(78))\/sqrt(6)).\nAnswer: 60*sqrt(13) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 12 = 4*c, -5*c + 3365 = -22*y + 3272 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141550547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -20*y - 5. Let f(t) = -13*t + 2 - 6 - 7*t + t. Let j(i) = 6*f(i) - 5*g(i). Determine j(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -740 - -737. Suppose -21*k + 18 = -12*k. What is the nearest to k in -2, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 1. Let t(k) = k**2 - 6*k + 2. Let b be t(6). Let s(y) = 9 - 12*y**b - 4*y - 4 + 5. Let l(f) = 10*o(f) + s(f). Factor l(i).\nAnswer: -2*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3177 + -6755. Let l = y + 8451. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 88. Let f = -5 + 26. Let z = f + r. What is the remainder when z is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from czxzcx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8 = 0, 2*k = c - 3*c. Suppose -3*w + 1 = -4*q - 8, 2*q + c*w = 12. Suppose q = -4*f + 5*f. Solve u + f*u + 4*o = 23, 14 = -2*u + 4*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1144, 2158, 3036, 3766, 4336, 4734, 4948, 4966?\n\"Answer: -2*w**3 - 56*w**2 + 1196*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008313 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2299 - -964. Let p be j\/(-9) - -2 - 1. Factor -p*a**3 - 32\/3 - 256\/3*a - 208*a**2 - 98\/3*a**4.\nAnswer: -2*(a + 2)**2*(7*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -1\/120*g**6 + 0 + 1\/12*g**5 + 0*g + 5\/24*g**4 + 2\/3*g**3 + 3*g**2. Determine h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*o - 248, -2*v + 59 = -v + 2*o. Suppose -527 = 7*k - 135. Let r be k\/9 + 6 + v\/(-9). Let c(s) = -s**3 - 7*s**2 + s + 10. Calculate c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25805 (base 10) to base 15.\nAnswer: 79a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5775\/4 + -1447. Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 5. Let m be u(5). Suppose 12*k + 4 = 8*k. Put -2, k, m in descending order.\nAnswer: k, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(56)\/(sqrt(8)*4)) + 0 - (-5 + -5*(sqrt(11) + sqrt(22)\/(sqrt(32) + sqrt(2)))).\nAnswer: 5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 9, 10, 11, 12, 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (417 + 9*w - 829 + 407)*(0 - 2 + 1).\nAnswer: -9*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 + 169323\/(-14))*(-1 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 237 - 393 = -221*q. Sort q, 186, -4 in descending order.\nAnswer: 186, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0\/3)\/(4\/5544). Suppose 10*l - u = 2184. What are the prime factors of l?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44b0c5 (base 13) to base 12.\nAnswer: -663800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 9*r - 404. Give x(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 699\/(-117) + 3. Let k = -17333.93 - -17334. Is k < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549534 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30842, 121828, 272958, 484232, 755650?\n\"Answer: 30072*c**2 + 770*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001179 rounded to 5 decimal places?\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 927537071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*j - 28*j - 42 - 114 = 0. Solve 4*r - 3*i = -2*i + 17, 0 = -r - i - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdqqbqebeeedbq. What is prob of picking 3 e?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4 - 3*r + 7*r + 0*r. Let q be d(-4). Is (60\/(-9))\/(8\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -6 (c) -2\/7 (d) -10 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -1)\/((-4)\/(-10)). Let j(u) = -u - 9. Let c be j(-11). Suppose -l = -2*l + g*s + 12, -5*l - 4*s = -c. Solve -12 = -l*k - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:52 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.428569 millilitres in litres?\nAnswer: 0.001428569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(102) - sqrt(102))*-6*-1)\/(sqrt(96)*-3*4).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9232 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 518997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 24 + 34 = -17*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*d = 2*z - 28, -4*z - 3*d - 58 = 0. Let b be z\/(-10)*1875\/30. Calculate the highest common factor of b and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/g*g)**4\/(g**(-1\/8)\/(g**(-4\/7)\/g)) assuming g is positive.\nAnswer: g**(-145\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {d: 1, i: 7, b: 8, m: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 + a?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -10*y**5\/9 + 2816*y**4\/9 - 212042*y**3\/9 + 4959652*y**2\/9 - 2413864*y\/3 - 411536 = 0.\nAnswer: -2\/5, 2, 51, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28841841?\nAnswer: 3, 7, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*y**4 + 3*y**3 - 24*y**2 + 279*y - 9 wrt y?\nAnswer: 84*y**2 + 18*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 5*x**2 + 42*x - 9. Give y(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 165, 244, 331, 432, 553?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 3, 54, -53?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = x - 18. Suppose p + x = 3*p. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8010 = 78245*f - 77444*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 30 - (-14 + (11 - (-10 + 10))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7385 is divided by 2764.\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10653*s + 419 - 917 + 496 as a + f*s and give f.\nAnswer: -10653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and -1296739 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1 - ((-2 - -3) + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:09 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 2. Let w = 12 - 20. Let t be f(w). Let g be (-50)\/(-2)*(4 + -1). Calculate the greatest common factor of g and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -13*l**8\/6720 + l**5\/60 - 11*l**3\/3 - 89*l**2. Let q(k) be the third derivative of p(k). Let n(o) = -5*o. Determine n(q(i)).\nAnswer: 195*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1367, -2792, -4215, -5636?\nAnswer: -7055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*f = 199*f - 540*f - 28024 for f.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -224042 (base 5) in base 10?\nAnswer: -8022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 0.6 in increasing order.\nAnswer: -5, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/15 and 29\/231961374?\nAnswer: 1159806870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 5*o**7\/42 + 2*o**6\/3 + 3*o**5\/2 + 5*o**4\/3 + 5*o**3\/6 + 4*o. Factor v(d).\nAnswer: 5*d*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 65. Let n be -2 - 20\/(-9) - q\/90. Solve 0 + 0*c**4 - 2\/5*c**3 + 1\/5*c**5 + n*c + 0*c**2 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -17. Which is the biggest value? (a) -0.4 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - (2 + -1))\/1. Let g(y) = 0*y - 12 - 5*y - 5*y + 2 - y**2. Let u be g(c). What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*i - 25*i**2 - 321*i.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmmmmmmxxxmxm. Give prob of sequence xmm.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155*k**3*v + 16*k**2*v - 3*k**2 wrt k?\nAnswer: 930*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01961 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = -5*q, t = -2*q + 2*t + 8. Solve o - 18 = 4*o - q*g, -1 = -4*o - 3*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 29 = -6*n. Let w be 14\/n*-1*81. Let f be 3\/(w\/4018) + (-4)\/(-18). Calculate the highest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -20*u - 92. What are the prime factors of r(-19)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 136 (b) 84 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 11 = -2*a + a, -4*j = -4*a + 60. Suppose 2*x + 3*v = -a, -4*x - v - 40 = -18. What is the closest to 0.1 in x, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 + 59 = -p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k - 71 + 71.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -24. Let q(d) = 8*d**2 - 41. Let y(g) = -3*g**2 + 14. Let u = -10 + 6. Let a(i) = u*q(i) - 11*y(i). Calculate a(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 8*q + 2. Let y be l(8). Find the third derivative of -5*i**y + 3*i**2 + 3*i**5 + 10*i**2 wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751978 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/((-126)\/(-81)) + -11. What is the third biggest value in 16, n, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 1 i when three letters picked without replacement from ffefiffefffeef?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 149*g**2 + 14*g - 96. Does 109 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90364, 361411, 813148, 1445569, 2258668, 3252439, 4426876, 5781973?\nAnswer: 7317724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 35*o - 136 = 0. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 28*t.\nAnswer: 2*t*(t - 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14560613.1 and -0.4?\nAnswer: 5824245.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 7*o - 12. Let g be k(10). Calculate the highest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + b + 2*b)*(0 - 4 + 2 - 1 - 3 + 1 + (2 - 2 + 2)*(53 - 10 - 85)) to n + c*b and give c.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86769733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 17*x**5\/20 - 12*x**2 - 42*x. What is the derivative of w(p) wrt p?\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 124*g - 119*g + 3*y, 5*y = 2*g + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1 + 6 - 6 + 3*l. What is d(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000545573215 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804997.2ng to milligrams.\nAnswer: 0.8049972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 - 4*f. Let b(u) = u**2 + 3*u + 3. Let a be b(-3). Let r(y) = -11*y + 16*y - 5*y - a*y**2. Determine r(d(c)).\nAnswer: -48*c**4 - 96*c**3 - 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 1 + 0*d**2 + 7\/12*d**4 - 1\/3*d**3 - 4*d. Let j(k) be the first derivative of t(k). Determine g, given that j(g) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 117?\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -340*d*r*u - 52*d*r + 3*d*u - 13759*d + 1617*r*u with respect to u.\nAnswer: -340*d*r + 3*d + 1617*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**3 - 6*i**2 - 2*i + 2. What is k(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, i: 7, j: 1}. What is prob of sequence js?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2154 - -2814. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 71*s**2 - 1364*s - 4299. Calculate i(50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Let g(m) = -3*m**3 + m**2 + m + 1. Let r be g(-1). Let f(q) = -3 + 7 - 3 + r*q**2. Give f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -575762937*l**2*w - 15634604*l**2 + 2 wrt w.\nAnswer: -575762937*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*w**3 + 167795*w**2 + 123247460*w + 24393925535.\nAnswer: 5*(w + 413)**2*(6*w + 28603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 5*k + (2*k - 6*k + 2*k)*(-2 + 1 + 0) + 3*k - 5*k - k - 1)*(-k**2 + 0 + 0).\nAnswer: 5*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 5) to base 3\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffzzzzzzzzfzzfzf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -521, -1000, -1733, -2804, -4297?\nAnswer: -6296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 461206152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daoaoiiodo. What is prob of sequence iai?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5763 - 5779. Which is the nearest to -1? (a) 7.5 (b) 2\/15 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*v - 205*v + 4 = 2. Let z(x) = 3*x**2 - 6*x**2 + 4 - 7*x + 2*x**2. Let g be z(-7). Put 5, g, -5, v in ascending order.\nAnswer: -5, v, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.4 (c) -3\/2 (d) -2 (e) -9 (f) 327 (g) -2\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -w - 3*i, -2*w + 6*i + 224 = 10*i. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2*k - 6. Let x(y) = 2*y - 7. Let c be x(6). Let q be z(c). Let o = 57 + -27. Solve b = 4*m - 6 - q, -5*b - m = -o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134 is divided by 242?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 14. Let z(v) = v**2 - 4*v + 10 - d*v - v**3 + 7*v. Determine z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 7*v**2 + 2*v - 41. Let z be l(20). Let i = z - -316735\/24. What is the common denominator of i and -49\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1793 + 41 - 171)*(0 - 1 + 3)*(-3*m + 4*m + 0*m)*(-2*m**4 + 6*m**4 - 3*m**4).\nAnswer: -3846*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -305.6 - -305.600005084. What is r rounded to seven dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*k - 21 = 0, 4*l + 3*k = -38 + 5 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 7*z**2 - 7. What is h(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5381303 is divided by 597918.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1060706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3108 + -3080. What is the remainder when 1117 is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, -1.3, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30962382733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}