diff --git "a/data/dm_maths/full_data/11036_11255.jsonl" "b/data/dm_maths/full_data/11036_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11036_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the smallest value in 1, -0.3, -0.5, -7198, -1\/3, -1?\nAnswer: -7198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + c**2 - 781*c + 1501*c - 778*c to a*c + f*c**2 + h and give a.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13 - 53*j**2 - 47*j**2 + 104*j**2 + j**3 - 14*j. Let o = -45 - -64. What is the remainder when r(3) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3*y - 42*p**2*y**3 - 40*p**2*y + 4943*p**2 - 10584*p - 110*y**3 wrt p.\nAnswer: 6*p*y - 84*y**3 - 80*y + 9886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.011 (b) 505 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r - 1. Let p be a(0). Let u = -1 - p. Suppose u = 3*c - 3*b + 12, -3*c - 3*b + 12 = 0. Which is smaller: c or 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3395719 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 11. Calculate the remainder when q(9) is divided by (108\/(-30))\/((-2)\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**4 - 2415193*x**3 + 2897850*x**2?\nAnswer: 48*x - 14491158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -274\/285 - -16\/15. Which is the third smallest value? (a) -0.2 (b) 5 (c) -3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 5. Let b be ((-28)\/5)\/(2\/(-5)). Let u be d(b). Let w = -8 + u. Solve -5*z = -2*r - w - 3, 6 = 4*z - 3*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 + 2*x + 3517. Suppose 0*y + 0*y = -6*y. Is f(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10935 (base 11) in base 8?\nAnswer: 36630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 5 + ((-3*sqrt(66))\/sqrt(6))**2 + sqrt(88)\/(sqrt(8) + sqrt(8)*1 + sqrt(8)).\nAnswer: sqrt(11)\/3 + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*i**3 - 3*i**2 - 9*i + 5*i + 53 + 6*i - i**2 wrt i.\nAnswer: 96*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 23, -3, 2, -960, -5.\nAnswer: -960, -8, -5, -3, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363)*1 + 5)) + sqrt(363)*1 + 0 + -3)**2.\nAnswer: -176*sqrt(3) + 427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001043223 rounded to 6 dps?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.6 + 20.59. Let k = 0.89 - m. What is the biggest value in -5, k, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -242 + 6979. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.815042 millilitres in litres?\nAnswer: 0.002815042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 139. Let o(b) = -b**2 - 13*b - 30. Let r be o(-7). What is the highest common divisor of q and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-106)\/22 - (-9 - 30)\/(-13).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2947149 divided by 2853\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/6 - 16\/12. What is the nearest to l in -2\/9, -4, -4\/5, 11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13639*u + 523*u + 2751*u.\nAnswer: -10365*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -7*h + 105. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by 1482.\nAnswer: -121\/1482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:53 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10120)\/(-1200) - (-238)\/(-28).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-878)\/(-6) - (-6)\/(-18))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23790*o + 51653*o - 26282*o.\nAnswer: 1581*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**23\/((t**(1\/5)\/t)\/t)*t\/(t\/(t*(t*t**(2\/13))\/t))*t**(7\/2) assuming t is positive.\nAnswer: t**(3829\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 8:42 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b - 4. Let n be (-6)\/(-16) + 348\/96. Let k be x(n). Suppose 4*r + 20 = k, p - 30 - 25 = -2*r. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -357a - -84?\nAnswer: -34a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.183 + -0.083. Sort -1, 11\/6, n, -2.\nAnswer: -2, -1, n, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 6399?\nAnswer: -1\/6399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4320, -17675, -39930, -71085, -111140?\n\"Answer: -4450*p**2 - 5*p + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -79490 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9078372?\nAnswer: 2, 3, 84059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1006002 divided by 335334\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Let o be 5 - ((-8)\/g - -3). Suppose o = 5*y + 1. Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3958 + 0.1.\nAnswer: 3958.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6655828 * -5.\nAnswer: 33279140","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 - (-681 - -685)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8b (base 13) to base 12\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**5 + k**4 + 162*k**3 - 212*k + 6?\nAnswer: -20*k**3 + 12*k**2 + 972*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/7)*w)**(-3\/43)*w\/(w\/(w*w\/(w**(-7)\/w)*w))*w**(2\/9)\/w assuming w is positive.\nAnswer: w**(27368\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - a - a, 4*a - 20 = -k. Sort k, -1, -48 in decreasing order.\nAnswer: k, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 + 4917*w**2\/4 + 5618151*w\/4 + 1870130867\/4.\nAnswer: (w + 737)**2*(w + 3443)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/7))**(-3\/29)\/(l**11*l)**(-18) assuming l is positive.\nAnswer: l**(43866\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-3 - -3)) + 11. Let y be 0*(-3 + g\/3). Suppose y = 5*c + 13049 + 15451. What is c rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111930 divided by 4305\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:33 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -878 by -878.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -268 - -219.5. Let y = -52.8 + h. What is y rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 9*n**4 + n**3\/3 - 101*n - 109. What is the derivative of w(f) wrt f?\nAnswer: 108*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101.89561 + 101.9. Round x to 4 decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*m**2 - 353*m - 45*m**2 - 1 - m**2 + 79*m**2.\nAnswer: 170*m**2 - 353*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**3 - l**3 - 2*l**3 + (-4 - 12*l**2 + 4)*(2*l - 2*l + 11*l))*(-3 - 4 - 2 - 2*l) in the form d*l + c*l**2 + b*l**4 + z*l**3 + v and give z.\nAnswer: 1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63771 + -63771.180911. Let y = -0.209 - -0.39. Let b = v + y. Round b to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2243, 2244, 2245, 2246?\nAnswer: 2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xivxxxxixxqkzk. What is prob of sequence vzqx?\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 335392510 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0674 - -66.6674. Let g = q + -28.4. Let x = 39 - g. Round x to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17760 divided by -6?\nAnswer: 2960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-66)*16\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6674 divided by 1220\nAnswer: 3337\/610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 709.1486 - -33.\nAnswer: 742.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3\/(-1)*1. Let a(v) = 9*v**3 + 3*v**2 + 16. Let s(d) = -46*d**3 - 16*d**2 - 80. Let z(h) = w*s(h) - 16*a(h). Differentiate z(t) with respect to t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.787 to 2 decimal places.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 - -112. Let r = z + 62. Let b be (0 - 4\/10)*5\/r. Sort 0.2, b, -3\/8.\nAnswer: -3\/8, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4559805, 4559801, 4559793, 4559781?\n\"Answer: -2*o**2 + 2*o + 4559805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5 - 3*h**2 + 2 - 2*h + 4*h**2 + 7*h. Let b(f) = 2*f - 1. Give 7*b(d) - 3*l(d).\nAnswer: -3*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 4*p**7\/105 + p**6\/12 + p**5\/30 + 8*p**2. Find t, given that k(t) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + b - 22 - 17*b + 6 - 2.\nAnswer: -16*b - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23790)\/247 - -96)*4.\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 383 and 395991360.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 115915.6l?\nAnswer: 115915600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*j + 19, -q - q + 3*j + 38 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 272 = 5*d - 1243, 5*d + 3*f - 1523 = 0. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-18))\/(3*2\/192). Solve i*x + 93 = 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(0 + sqrt(320) + -3))**2.\nAnswer: -5184*sqrt(5) + 35532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -524*g + 1. Let u(b) = -786*b + 2. Let k(l) = 7*r(l) - 5*u(l). Is k(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:26 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89\/3 + -29. Do -6 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168430 is divided by 322?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cchh when four letters picked without replacement from qhyzqzhhhhhzzzhqcch?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*i - 32 = 4, -3*i - 9 = 0. Suppose -7*a + p = -28. Suppose 9*o + 27 = -a*t + 13*o, 0 = -t + 3*o - 12. Let r(m) = m**3 + 2*m**2 + 2. Give r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 17922742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1418, -1450, -1504, -1592, -1726, -1918?\nAnswer: -2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*s - 8 = 0, 11 = -2*o + 6*o - s. Which is bigger: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2\/7, 4, -4\/3, 2\/41?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3879 from 9.9.\nAnswer: 3888.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000874 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 9:56 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*h - 8 = -2, 27 = -2*f - 5*h. Let r(q) = q**2 + q + 1. Let l(p) = 8*p**2 + 4*p + 8. Calculate f*r(k) + l(k).\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8745355 and -5?\nAnswer: -43726775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 24. What is the lowest common multiple of 6 and y(-13)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Let o(y) = 3*y**2 - 4*y + 3. Let x be o(i). What is the greatest common factor of 49 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 19218?\nAnswer: 768.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.65749159 to 2 decimal places.\nAnswer: 7.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/17, 0.02, -1\/4, 2, 29.\nAnswer: -12\/17, -1\/4, 0.02, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = -284*t - 3301 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -264? (a) -2 (b) -0.4 (c) -3\/8 (d) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00288 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53238 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4, -1\/5, 304\/9, -1463 in ascending order.\nAnswer: -1463, -4, -1\/5, -2\/11, 304\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 95*p**2 - 2*p - 4. Let s(u) = -94*u**2 + 2*u + 6. Give 4*m(v) + 3*s(v).\nAnswer: 98*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48191146 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365531 (base 8) in base 3?\nAnswer: -201201010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -200, -455, -802, -1235, -1748, -2335?\n\"Answer: k**3 - 55*k**2 + k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1781 divided by 2115.\nAnswer: -1781\/2115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(48\/(-8))\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32176.4 and 19.\nAnswer: 611351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 1. Let d be j(-2). Suppose 3*s - 90 = -0*s - d*k, -4 = -k. Do 27 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, -195, 4355.\nAnswer: -195, 203, 4355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 784, 880, 978, 1078, 1180, 1284?\n\"Answer: b**2 + 93*b + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 8*k**2 - 3. Let r(v) = 5*v**3 - 23*v**2 - 8. Calculate 3*r(w) - 8*s(w).\nAnswer: -w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25a78 + 191?\nAnswer: 26159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27008 = 416*i - 2664 + 1384 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 2. Let n be q(7). Let c(v) = v**3 + 8*v**2 - 7*v + 12. Let x be c(n). Let r be 1\/(-3) - 32\/x. Solve j + 30 = -5*t + 2, 3*t = -r*j - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 47679.2 nanometers?\nAnswer: 0.00476792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let f(c) = -c**3 - c + 42. Let h be f(a). What is h rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 12*q**2 - 9*q + 13. What is o(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*c**4 - 35*c**3 - 25*c**3 + 184*c**5 - 200*c**5 - 52*c**4 + 3406*c wrt c.\nAnswer: -320*c**3 - 360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4648, 4794, 5154, 5746, 6588, 7698, 9094, 10794?\nAnswer: 12816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**8\/2160 + 31*b**7\/1890 + b**6\/90 + 2*b**3\/3 - 6*b**2 + 87. Let p(y) be the third derivative of l(y). Solve p(a) = 0.\nAnswer: -2\/7, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22.1 and -1686.\nAnswer: -1708.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose -5*z + 68 = -h, -4*h + h - 48 = -u*z. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003669899 to 6 decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.55 * -26.\nAnswer: -2484.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 180 = -3*p. Let l be (p\/(-25))\/((-2)\/10). Suppose q = -j + l, 4*q + 24 = 2*j + 96. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -28*h**2 + 6*h - 17. Let x(m) be the second derivative of -3*m**4\/4 + m**3\/3 - 3*m**2 + 7546*m. What is 4*q(r) - 11*x(r)?\nAnswer: -13*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 177, -6, 3 in descending order.\nAnswer: 177, 3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924811*l = 924806*l - 80 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 3. Let y(r) = -3*r - 2. Let x(l) = -l - 2. Let c(w) = 2*x(w) - y(w). Calculate -4*c(v) - 3*h(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrv. Give prob of sequence rv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10618188 by -12.\nAnswer: 884849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8))\/((-280833)\/4976)*-7\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0 - 1\/8*r**4 + 0*r - 5\/6*r**3 + r**2. Suppose -47*b - 48 = -39*b. What is n(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (1 - (-2 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(7\/5)*n**(-6)*n**(2\/3)\/n*n*n**(-1)\/n*n*n assuming n is positive.\nAnswer: n**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13919833\/15 + 928326. Let n = 337 - m. Which is the nearest to n? (a) 4 (b) 2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18327*x - 18327*x - 96*x**4 + (2*x**3 + x**3 - x**3)*(2 - 2 - 2*x))*(2 + 1 - 4).\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/87 and 2\/29.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 2*d = -1500. Let j = -24 - -50. Calculate the remainder when d is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 18*l**3 + 187*l**2 - 200*l - 2677. Give o(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 6*m + 2. Let j be o(10). Let b = 67 + j. Let w = 8 + b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -3\/7, -21, -0.5 in ascending order.\nAnswer: -21, -0.5, -3\/7, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let v be ((-4)\/6)\/(7\/189 + 0). Let p(o) = -11*o**2 + 9*o. Let h(r) = -r. Let x(t) = v*h(t) - 2*p(t). Give x(u(a)).\nAnswer: 22*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2 - 2026166*m - 1026337164889 = 0. What is m?\nAnswer: -1013083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 238 + -218. Let c be i\/15*(-12)\/(-8). Solve 0*q - 28 = 4*q - 4*k, 18 = -3*q + c*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91.6 - 73. What is t rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, s: 4}. Give prob of picking 4 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 - p + 4. Let a(k) = k**3 - 6*k**2 - 7*k - 7. Let l be a(7). Let g(y) = -13*y**2 + 3*y - 13. What is l*d(b) - 2*g(b)?\nAnswer: -2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220313672*l - 63*l**3 + 220313672*l.\nAnswer: -63*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12 = 8. Calculate the lowest common multiple of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z + 307 = -323 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -2.05. What is the second biggest value in -2\/7, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 6*s**2 + 11*s + 5. Let w(y) = -3*y + 10. Let a be w(6). What are the prime factors of g(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1\/5, 0.1, 0 in increasing order.\nAnswer: -1\/5, 0, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-14) + (-192)\/(-56). Let h be 4 + 858\/24 - 3\/z. Suppose 4*l - 1 = h. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 19*b**5\/60 + b**4\/24 + 2*b**2. Calculate the lowest common multiple of t(1) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -8. Suppose c*l + l - 15 = 0. Let a(y) = -6*y - l*y + 7*y. Let w(s) = -4*s. What is a(w(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2, -4, -63.08?\nAnswer: -63.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 16 + h**2 + h**2)*((6*h - h - 3*h)*(4 + 4 - 6) + 3*h - 4 + 4).\nAnswer: 14*h**3 - 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 8*o**2 - 2*o**2)*(1 - 19 + 5).\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/40 + f**4\/6 - f**3\/6 - 6*f**2. Let p(h) be the first derivative of m(h). Let o(k) = -1. Give -4*o(j) - p(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**6\/30 + 41*r**5\/20 - 25*r**2 - 19*r. What is the first derivative of v(d) wrt d?\nAnswer: 4*d**3 + 123*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -128*w**2. Let f(l) = -7215*l**2. Determine y(f(r)).\nAnswer: -6663196800*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 + 17*i - 20. Let l(y) = -y**2 - 4*y + 5. Let w(d) = -9*l(d) - 2*s(d). Let o be w(0). Let z = 9 - 6. Put -3, o, z in decreasing order.\nAnswer: z, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-21))\/(3\/7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 17*s - 16. Let u be h(8). Let i = -47 + u. Let g = -33 - i. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/4)\/(186\/262012).\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**3 - 2*w**2 + 4*w - 4. Let z be h(-4). Does 36 divide 4\/(-6) - (z\/6)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 + 118. Suppose d = 5*s + 354 - 1059. List the prime factors of s.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1513 + -1511. Let v(a) be the second derivative of -4*a + 3\/2*a**s - 1\/12*a**4 + 2\/3*a**3 + 0. Give v(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-5) - 624\/(-40). Let v = j - 49\/4. What is the common denominator of -53\/18 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 25*n**2 + 19*n + 33. Let d be t(-2). Suppose -97*f = -d*f - 8. Determine q, given that -4\/5*q**2 + 8\/5*q**3 + 0 - 4\/5*q**f + 0*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2264 and 2263 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100347909 and 7692.\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4\/2 - 297*i**2\/2 + 735*i - 900 = 0.\nAnswer: -12, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Suppose 7 + 33 = -i*n. Is ((-290)\/n)\/(1\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -3\/4, 1, -3\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -17*t - 114. Let k(o) = 16*o**2 - 28*o - 70. Suppose 3 = -5*m + 6*m. Let a(y) = 5*y**2 - 9*y - 23. Let p(b) = m*k(b) + t*a(b). Factor p(d).\nAnswer: -2*(d - 5)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**4\/2 + 2*j**3\/3 - j**2 - 36*j - 114. Let c = 1655 - 11565\/7. What is the common denominator of c and s(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10 = 3*j, 0 = i - 3*i + j - 10. Let s be 187 + -6*2\/i. Suppose -5*r + s = 35. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-2*-6 - (0 + (sqrt(18) + 1 - sqrt(18)) + sqrt(18)))**2 - (sqrt(70)\/sqrt(20))\/(sqrt(42)\/sqrt(54) + sqrt(7) - sqrt(7)).\nAnswer: -135*sqrt(2)\/2 + 2179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42729\/10 - -4272. What is the common denominator of -13\/950 and x?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4180*l. Let y(b) = -11*b. Give y(z(j)).\nAnswer: 45980*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**3 + 11*t**2. Let g(v) be the first derivative of v**4\/4 - 2*v**3\/3 + 3. Determine 22*g(s) + 4*w(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8943 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10)*(-5)\/(-9). Let k = -0.1 - -1.1. Which is the nearest to -1? (a) -4 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -107.106. Let o = x + -0.117. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599628.\nAnswer: 2, 3, 107, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 316266985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -3?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5670 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 19 + -31 - 17 - (1 + -2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 1.1. Let i = 1 - x. Let a = i + 2.3. Which is smaller: -1\/4 or a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121456110 bigger than 121456110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 1. Let r(x) = x**3 + 7*x**2 - 7*x - 10. Let m(t) = 4*p(t) + r(t). Let v = 124 - 72. Calculate the remainder when v is divided by m(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55609 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 + -4.3. Let n = i + -2.3. Let q = 0.6 + -0.2. What is the second biggest value in q, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/60 + ((-4)\/(-40) - 0)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 242743551, 485487104, 728230657, 970974210, 1213717763?\n\"Answer: 242743553*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(468))**2 + -4.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p - 3*f + 17 = 0, p = -5*f + 17. Suppose 0 = -4*s - t + 12, 0 = p*s + 2*s + 2*t - 8. What is the remainder when 5 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28506 is divided by 1676?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 47. Let k = -215 - -208. Calculate the remainder when 23 is divided by t(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g - 3. Let r(s) = -s. Let l be r(-5). Let p = -3 + l. Does 7 divide c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 147 = -5*b, m - b + 39 = 2*m. Let g = m - 42. Calculate the remainder when ((-14)\/3)\/(-2*g\/(-60)) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308.5 + -302. What is a rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let a = y - 5. Suppose 8 = -5*n + 3*o - 17, 4*n = 2*o - 18. Sort a, n, 3 in decreasing order.\nAnswer: 3, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*c + 113*c + 144*c + 53*c - 54*c + 9.\nAnswer: 340*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 - 8*v + 3. Does 17 divide b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 94 = -n, 3*n - 88 + 10 = 3*s. What is the tens digit of s\/(-9)*15\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, l: 1, u: 1, e: 1, v: 2}. What is prob of sequence qeu?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = d + 5*i, 2*i - 4*i + 5 = d. Let s be -25 + 1 - (7 + -8 + -3). Let k be (95\/s)\/(-1) + (-6)\/8. What is the highest common divisor of k and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q = -24*q - 42 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1012 and 7044026?\nAnswer: 14088052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-9 - (68 + -69))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6050 (base 7) to base 9.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 - 4*n**2 + 6*n + 10. Determine s(-4).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -29.\nAnswer: -29, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.1. Let q = -1137 - -1138. What is the nearest to q in 1\/3, n, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 9 - 1)*(6*n - 3*n - 5*n)*(-1 + 6 - 4 - 2 + 4 - 1 + 1 - 1 - 2 - 2 - 3 + 3 + 1 - 3 + 4 + 1 - 1 - 1 + (3 - 3 - 1)*(-3 + 1 + 0) + 0 - 2 + 3).\nAnswer: -36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/134945 or 0?\nAnswer: 2\/134945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**3\/3 - 3*v + 17. Let m(i) = 1. Let d = 1 + -2. Let o(h) = d*w(h) - 6*m(h). Determine o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = t + 7, -5*s + 4*t = 3*t - 9. Suppose 0 = r + s*r - 135. Suppose -4*b = -5*u - r, 2*b + 2*b - 48 = 4*u. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1*1\/9). Suppose 1176 = t*c - 1353. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 7, 13?\n\"Answer: 6*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n - 299 - 267 + 566.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -1*(sqrt(700) + -2) - sqrt(700)) + (1 + sqrt(700))*1 - (sqrt(700) - 4*(-1 + sqrt(700)) - (0 + sqrt(700)*-1)))**2.\nAnswer: -400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11180.8 and -7.\nAnswer: -11187.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 12\/5, -1, -862\/2381, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11979 is divided by 1338.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + 3 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.2 * -0.14.\nAnswer: -4.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -10. Which is the nearest to 0? (a) r (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.296 - -17.67584?\nAnswer: 16.37984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*l + 12 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.012854859353 - 0.011.\nAnswer: 0.001854859353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 193893084*c**4 + 211775401 wrt c.\nAnswer: 775572336*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 0. What is the second derivative of 14*s - 35*s**5 - j*s + 41*s**5 + 9*s wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -446 greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32531464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72.2 - -43.1. Let k = 4.4 + d. What is k rounded to 0 dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-12)*4 + 18. Let f = -15 + g. Suppose -2*o + 0*o = -f. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3528e (base 16) to base 8.\nAnswer: 651216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.36 + -8.36. What is the nearest to s in -4\/9, -0.06, 3\/5, -1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*k + 0*k - 10 = 0, -j - 1 = k. Let t(q) = 6*q + 6. Let d be t(3). Calculate the highest common factor of j and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z + z)*(4*z**4 + z**4 - 3*z**4) + 2*z**3 - 2*z**3 - z**5 + 2*z**5 + 2*z**5 - 2*z**5.\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:05 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392 + 17*a**2 - 787 - a**2 + 395.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = -2*x + 19, -2*x - 5 = -3*d. Let t(j) = 4*j**2 + 4*j. Let q(m) = 8*m**2 + 8*m + 1. Let p(o) = -2*q(o) + 5*t(o). Is p(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 961663, 1923331, 2884999, 3846667, 4808335, 5770003?\n\"Answer: 961668*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87535*w**3 - 55*w + 87535*w**3 - w**4)*(w + 6*w + 3*w)*(3 + 1 - 3).\nAnswer: -10*w**5 - 550*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4698*u + 9364*u - 4665*u + 3393)*(-u - u + 4*u) to the form o*u + s*u**2 + v and give o.\nAnswer: 6786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 17*h**2 + 33*h + 36. Give a(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 27*u + 481*u**2 - 264*u**2 - 2 - 238*u**2 to h*u**2 + o*u**3 + d*u + a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 398666048469*b**2 + 398666048457*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-3) - 24\/18 - -32. Let o = 23 - 42. Let n = t + o. Calculate the least common multiple of n and 77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 3. Determine p(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26013 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12106*z + 16732 + 23047 - 15567 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -333 - -321. Let z(w) = w**2 + w - 16. Let r be z(0). Let b = h - r. Solve -16 = -8*o + b*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 687*k - 691*k + 20, -1 - 1 = -l - 2*k for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57.952 + 58. Let g = -0.04799987 + y. What is g rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77546068 by 3.\nAnswer: 77546068\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118.5 - 28. Let t = x + -62.8. Round t to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 69791851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + l - 5*l)*(-52 - 2*l - 47 + 100) as h + k*l + v*l**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -291501, -582973, -874445, -1165917, -1457389, -1748861?\n\"Answer: -291472*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*18*98\/392.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 13, -1\/39, -2, -0.032?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p + 8. Suppose 2*l - 25 = -5*c - 0*l, -3*c = -l - p. Suppose c*a - 21 = 3*w - 6, -4*w = 20. Are 2\/11 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475000 (base 10) in base 7?\nAnswer: 15352202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*-1)\/((sqrt(15)*-1)\/sqrt(3)) + 5*sqrt(68)\/(sqrt(288)\/sqrt(8)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u + 14. What is z(-13)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:07 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + h**3 - h**3)*(6*h - 3*h - 2*h) - h + h**4 + h - 9*h**4 + 5*h**4 + 32*h**4.\nAnswer: 31*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -2412?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, h: 2, s: 4}. What is prob of picking 4 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**6\/720 - 7*o**4\/6 + 15*o. Let a(y) be the third derivative of f(y). Let n(p) = -10*p**2. What is n(a(w))?\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2015801797, 2015801796, 2015801795, 2015801794, 2015801793?\nAnswer: 2015801792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.2 (b) 0.2 (c) 18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - (-10)\/(-8). What is the third smallest value in z, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.7 + 34. Suppose y = -2 + 1. Let p be y\/(-1 + -1) - -1. Which is the smallest value? (a) p (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024 - 0.06?\nAnswer: -1024.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495080 is divided by 969.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**6 + 10*x**5 + 20*x**3 - 1292*x**2 + 10 wrt x.\nAnswer: -360*x**3 + 600*x**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18942 by -246.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16328 and 1365.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.84697 rounded to 1 decimal place?\nAnswer: 37.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*(-69)\/((-4002)\/319)*(-40)\/(-6)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10941322, -10941320, -10941318, -10941316?\nAnswer: -10941314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6*j + 93 = 53 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -233.418 and 1.\nAnswer: -233.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3627 and 4189.\nAnswer: 15193503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1364000 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3341 is divided by 124?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18569, -37131, -55693, -74255, -92817, -111379?\n\"Answer: -18562*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8019217.\nAnswer: 8019217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 1472*m - 135424.\nAnswer: -4*(m - 184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44*6\/(-168)*-7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 1. Let n(f) = -f**2 + 1. Let x be (0 + 0 + 4)\/1. Let a(l) = 2*l**2 - l - 1. Let k(p) = x*n(p) + 3*a(p). Let d(y) = -4*g(y) - k(y). Give d(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 179, 474, 1009, 1904, 3279, 5254?\n\"Answer: 20*p**3 + 155*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1008) + -2 + -4) + -5)**2.\nAnswer: -1824*sqrt(7) + 16489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/425 + (-13475)\/(-1309).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171) + -3 - (sqrt(171) + 1)*3)**2 - ((sqrt(171) + 1*sqrt(171)*-6)\/sqrt(9) + 5)**2.\nAnswer: 194*sqrt(19) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9423466 a multiple of 586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 8*l - 16)*(-3*l + 0*l + 4*l) + (l + l - 3*l)*(2*l - 3*l + 0*l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 8\/3 (c) 1.04885 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-198)\/(-77))\/((-2)\/(-28)). Let h be 10\/n - 5\/10. What is the nearest to 1 in -2, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19378633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 3, j: 2, z: 1}. What is prob of picking 2 j, 1 r, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -139*i**2 + 10*i - 631. Let d(t) = 278*t**2 - 18*t + 1262. Let g(u) = -9*c(u) - 5*d(u). Find the first derivative of g(f) wrt f.\nAnswer: -278*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 5*t**2 - 2. Let i be m(5). List the prime factors of 6*(2\/(-4) - i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4011*t - 34644 = -1670*t + 1749*t - 246972 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/372*-4 - (-912)\/(-1240). What is the closest to -0.16 in -4, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:17 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*292\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -138*m - 5. Let o(b) = -138*b - 6. Determine 4*n(y) - 3*o(y).\nAnswer: -138*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16927707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 4*k. Let b be -3*(4\/k - 3). Solve -4*n = -9*n + 3*o - 10, -5*n + 4*o = b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. What is the common denominator of -37\/146 and (-6)\/(-56)*2*(g + 14)?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41496*c**2*m + 2*c**2 - c*m*s - 3*c*s + 9260*c - 2*m*s - 3*m + 2*s + 1 wrt m?\nAnswer: 41496*c**2 - c*s - 2*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/11 (c) -2 (d) -0.4 (e) 536 (f) 4\/7 (g) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 2*o. Suppose 2*q - 18 - 26 = o. Calculate the smallest common multiple of 40 and q.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/139 - -265\/1807. Let k = 7.8039 - 11.8039. Which is the nearest to -1? (a) -1\/3 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-33*u - 66*u + 99*u + 680*u**5).\nAnswer: 680*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22213 - 0?\nAnswer: 22213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwuc. Give prob of sequence ku.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, 2\/7, 5, 11230\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 + i + 1. Let k(n) = 1309*n**3 + 6*n**2 - 6*n + 140. Let r(a) = -k(a) - 6*w(a). Differentiate r(h) with respect to h.\nAnswer: -3945*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/4)*x**(-1\/12))\/((x**12*x)\/(x\/(x\/(x\/((x**(-12)\/x*x)\/x))))) assuming x is positive.\nAnswer: x**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13308, -13319, -13328, -13335, -13340, -13343, -13344?\nAnswer: -13343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Suppose -3*q + 5*q - 2 = -2*v, 4*v - 3*q + 3 = 0. Find the third derivative of 4*a**2 - 3*a**5 - 5*a**2 - 2*a**2 + v*a**l wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 3. Let d(c) = -c**3 + 24*c**2 - 23*c + 4. Let m be d(23). Calculate x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 0.2. Let y = -3.44 + 118.04. Let l = -112.6 + y. Which is the closest to l? (a) 0.5 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 10:48 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 31*h**2 + 19722*h + 590762. Determine u(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175237927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 + 5 + v**3 + 6*v + v**3 - 8*v**2 + 0*v**3. What is the remainder when c(-9) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 681.2 - 680.9. Which is smaller: m or -521?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2*5*3)\/(4*1*sqrt(432)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -10 - 3\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -65. Let k be -2*1\/((-1)\/(-2) + z). Solve f + 3*a - k = -12, -5*a = -4*f + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 2. Suppose -5*g = 5*j - 45, -181*g + 185*g + 24 = 2*j. Let p(k) = 12*k**2 - k - 1. Let f be p(-1). Let d = f - j. Give b(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5\/8 + 2959833*z**4\/4 - 59196471*z**3\/8 + 27378339*z**2 - 88794567*z\/2 + 26638362 = 0. Calculate z.\nAnswer: 2, 3, 1973212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 76 + 61 = 0. Suppose k = -t*k + 6. Let p be ((-3)\/2)\/((-33)\/22). Solve -2*w = 3*x + p, -x = -w + 3*w - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-532*h - 590*h + 1042*h)*(2 - 2 + 2)*(2*h + 3 + 5*h - 3*h).\nAnswer: -640*h**2 - 480*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 44 = 3*l, 2*y - 7*y - 5 = 0. Does 3 divide 2 - (-1)\/((-5)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:50 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - q)*(10*q - 3*q + 11*q)*(-2*q + 0*q + 0*q) + (-2*q + 2*q + q)*(-2*q**2 + 0*q + 0*q).\nAnswer: 34*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191 - -182. Let l(n) be the second derivative of n**3\/3 + 21*n**2\/2 - n. Calculate the remainder when l(t) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170)\/(-6)*(8976\/(-85))\/88.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*x - 65 - 48, d - 5*x - 6 = 0. Is 10 a factor of (4 + -2 - d)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 692 divide 745284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 4 - 5*f**2 - 4*f**3 + 5*f**3 - 2*f**3 + 3*f. Let k be s(-6). Is 4\/((-16)\/(-300)) + k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i**3 + 5*i**2 + 1. Let k(n) = n**3 - n**2. Let h(z) = -5*k(z) - u(z). Let j be h(1). What are the prime factors of (2 + 4)*14\/j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 + 5*k**3 - 5*k**3)*(0*k**2 - 3*k**2 + k**2) - 2*k**5 + 5*k - 5*k.\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(4 - 4 + 2)*((-3*c**2 + 2*c**2 + 0*c**2)*(0*c - 3*c + 2*c) + c**3 + 2*c**3 - 5*c**3 - c**3 + 2*c - 2*c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 12*i**2 + 12*i - 125. Calculate the remainder when f(10) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10334 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.11 (c) 3\/22 (d) 5 (e) -5 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, 19, 2, -5 in increasing order.\nAnswer: -10, -5, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b = -99. What is the remainder when b is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 1. Suppose 0 = -4*h - 4 + 36. Let z = 12 + -8. Let n = h - z. Determine b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b + 62. What are the prime factors of t(-13)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18976, -19227, -19478?\n\"Answer: -251*b - 18725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -217, -323, -427, -529, -629?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 34. Which is the closest to 1? (a) -3\/7 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d - 5 - 5*d**2 - d**3 - 4 + 0*d + 3. What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(1 - 3 + 0)*(-2 + 4*d**3 + 2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(100\/36)*25*4\/(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1699 + -1688. Calculate the least common multiple of z and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296698 - -916698. Round t to the nearest ten thousand.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 83. Let r = o + 96. Suppose 5*t + 84 = 4*v - 57, 0 = -2*v + 3*t + 71. What is the remainder when v is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q**2 + 15*q - 5. Let x be n(3). Suppose -4*p = -0*p - 2*d + 14, 4*d = -3*p - 27. Sort x, p, -4 in increasing order.\nAnswer: p, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 154 (b) 0.3 (c) 0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {p: 2, f: 2, e: 4, w: 5, u: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 6*n + 3. Let a be g(-6). Suppose -2*t = t - a*c - 9, -4*t = 4*c - 12. Solve 5*j - 2*j = -t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -135, -102, -35, 78, 249, 490?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -23*u + 235. Let p be z(10). Sort 4, 2, p in decreasing order.\nAnswer: p, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -696 by -232.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79391, 79397, 79403, 79409, 79415?\n\"Answer: 6*w + 79385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.827 + -0.827. Which is the nearest to 2? (a) l (b) -1\/2 (c) -54 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8533\/(-42) - 1\/(-6). Let c = k + 300. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -40382, -22 in increasing order.\nAnswer: -40382, -22, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5644 and 430315492.\nAnswer: 5644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 4*g)*(3*g + g - 5*g) - 32 - 7*g - 7*g**2 + 9*g**2 + 15.\nAnswer: 3*g**2 - 7*g - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - (-3)\/9. Let q = 10 + -6. Which is bigger: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 93 = -18*u + 21*o, 0 = -2*u + 3*o + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/798930 and 23\/990?\nAnswer: 798930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-24)*((-2)\/(-6))\/(70\/(-80)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004242 rounded to 4 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 2. Let y = -172 - -183. Suppose o - 1 = y. Calculate the remainder when o is divided by k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:30 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x. Let j(o) = x*o**3 + o**3 + 2*o + 6*o**2 + o + 0*o + 4. What is the smallest common multiple of 10 and j(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 5*k - 4*l, 37452*k = 37449*k - 5*l + 93 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 599644243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**3 - 6*a**3 + 7*a**3 - 6*a**2)*(3 - 4 - 1) in the form j*a**3 + l + r*a**2 + g*a and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 27.00115. Round m to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 17867148*a. Let j(i) = -7*i. Determine x(j(z)).\nAnswer: -125070036*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*p - 10, 3*p - 27*t + 26*t = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/8)*(k*k\/((k*k*k*k**(-4\/11)\/k*k*k)\/k)*k)\/k)**(6\/5) assuming k is positive.\nAnswer: k**(-27\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -aa7?\nAnswer: -aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484392 to the power of 1\/2, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86019547 to the power of 1\/2, to the nearest integer?\nAnswer: 9275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1002 - -13510412?\nAnswer: 13511414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12497 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3*i + c - 2 = 0, -4*i - 3*c = 7. Let v be ((-6)\/10)\/i + (-92)\/20. Sort 1, v, -1, -2 in decreasing order.\nAnswer: 1, -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u - 2. What is h(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79937, -79696, -79455, -79214, -78973, -78732?\n\"Answer: 241*f - 80178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 10, -2*o + 21*h = 22*h - 11. Let j = -7 - 1. Let n be (-2 + -2 + o)*(-6)\/j. What is the third biggest value in 3, n, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 782*k**3*n**2 + 8*k**3*n*y - 3*k*n**2 + 2*k*n*y - 3*n**2*y + 163*n*y - 2 wrt k.\nAnswer: 4692*k*n**2 + 48*k*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 54. Let l(q) = -39470*q + 1278828. Determine -23682*c(i) - l(i).\nAnswer: 15788*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630)*1)\/(-4*sqrt(32)))\/(6*sqrt(147) + (sqrt(432)*-3 - sqrt(432))).\nAnswer: 11*sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1443 - 512. Does 95 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 107*s + 620. What is r(-113)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.5 - -25. Let n = 406 - 405. Is n at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11986 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*o = -89, -2*o + 62 = 4*t - 2*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = h + 5, 2*h + 2*f - 14 = 4*f. Suppose -19 = -3*a + h. Calculate the lowest common multiple of a and ((-51)\/(-2))\/((-14)\/4 + 4).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 1 - 4. Let z(x) = x**2 + 4*x + 3. Let g be z(-4). Suppose -3*c = 3*a + 12 + 9, 27 = -g*a - 5*c. Sort a, 1\/5, i in ascending order.\nAnswer: a, i, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10604 and 91\/7712?\nAnswer: 84832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 30 = -0*i - 6*i + 8*i, -5*i - 2198 + 2188 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132615855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -90, -103, -116, -129?\n\"Answer: -13*z - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*o - 5*c, -5*o + 4*o + 2*c - 3 = 0. Let t(z) = 3*z**2 + z + 7. Let r(u) = -5*u**2 - u - 14. Let y(p) = 4*r(p) + 7*t(p). Determine y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 22*j - 1657. Calculate n(75).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1283, -1297, -1311, -1325, -1339, -1353?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9285 + -9230. Let g = -0.5 - -0.3. Which is the third biggest value? (a) l (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -10*f + 19. Suppose -f*m + 3*m = 3*v + 11, v = 4*m - 21. Let b be 4\/v*5\/(-2). Solve -3*j + 17 = b*c, -2*c = -6*c - 3*j + 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8321 or -1?\nAnswer: 8321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*t - t, 0 = 2*t + a - 1. Put 0, -1\/8, t in descending order.\nAnswer: t, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2999160270282 and 0.1.\nAnswer: 2999160270282.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/12 + 13*s. Let g(f) = 16*f**2. Calculate g(d(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(200) + (sqrt(200)*3)**2)*4.\nAnswer: -36000 - 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 0.4 (b) 0 (c) 190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 82 = -5*q, 6*q + 82 = 2*m + 5*q. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z - 144 = -7*z. Let w be (-6780)\/z*(-7)\/35 + 3. Which is bigger: w or -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.14 (b) 1.97 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1304 + -1302. Solve -5*f - 3*t = -18 + 5, z*t = 4*f - 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7*(-1022)\/(-584)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8301 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1691 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**3 + 2*c**3 - c**3)*(0 + 1 + 1) + (-26 + 21*c + 26)*(174*c - 130*c**2 - 174*c) in the form r + p*c + o*c**2 + t*c**3 and give t.\nAnswer: -2732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4) + (-6 - -22) + -28 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 14?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/936 and -23\/126.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1817 + 577 = -8*r. Let z = r + -91. What is the greatest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(99) - (1 + sqrt(11) + 4)**2.\nAnswer: -36 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.6532 + -0.3468. Which is the closest to -11? (a) 1\/4 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 15*z + 14*z = 10, -5*c + z = -70. What is the remainder when 208 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/12 + 3*u**3\/2 + 85*u**2\/12 + 6*u + 2680. Factor v(k).\nAnswer: (k + 4)*(k + 9)*(2*k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1200 - 301. Let x = -899.00491 + u. Round x to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 16 = -o, 4*m + 0*o = -4*o + 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**0*q*q**(-8)\/q*q)\/(q**(-2))**(21\/8) assuming q is positive.\nAnswer: q**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*u + 376, -2*u = 6*s - 2*s + 758. Let t = -109 - s. Suppose t = 3*l - 21. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 - 2944\/(-36). Let z = 136 - a. Calculate the lowest common multiple of z and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 2 + 2*w**2 + 4 + 4*w. Let l be i(-3). Solve 4*o - l*r + 0 = -2, 0 = 4*o + 3*r - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 800352386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40214201 - -2242?\nAnswer: 40221443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-25)\/13 + 2). Let x be (-56)\/(-2) + (-52)\/c. Suppose -x*k = -27*k + 12. Solve -3 = -4*a + 4*t - 11, 0 = -5*a + k*t - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -65. Let i = k + 97. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u*u*u**(-3\/2))\/((u\/(u*(u*u**(-2)\/u)\/u*u))\/u*u**6) assuming u is positive.\nAnswer: u**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 456 = 2*k - 2*w, -4*w + 114 = k. Let x = -2 + k. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + sqrt(5))*4*-6)**2.\nAnswer: 1152*sqrt(5) + 3460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 2*h - 2. Let j = 107 - 106. Let r be f(j). Let n(z) = -z. Let d(p) = -p. Determine r*n(t) + 6*d(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 2*k + 9, -2*k - 21 = -11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytpybyybybxyxxbytyy. Give prob of sequence bby.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + i - 1 - 1 = 0, 2 = 3*r + i. Suppose r = 2*z - 11750 + 244. Let w = z + -1323. Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, h: 2, p: 9}. What is prob of sequence plp?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33712 = 38*c + 18*c. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 64*i**2 - 7*i + 7. Let m(s) = 43*s**2 - 5*s + 5. Give -7*m(r) + 5*z(r).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (192 - 177) + (-13 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/2945 + -120937\/70680. Calculate the common denominator of 37\/12 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98149 + 98174.7628. Let i = -25.6328068 + g. Let h = -0.13 + i. Round h to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 140144, 560378, 1260778, 2241344, 3502076, 5042974?\n\"Answer: 140083*x**2 - 15*x + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/2)\/((-240)\/840)*4?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29973905 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2811138.\nAnswer: 2, 3, 11, 191, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h**2 + 3*h - 1. Calculate t(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-4)\/18) - (-405)\/75?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n - 16. Suppose -7*c = -1 + 15. Put 4, n, 5, c in ascending order.\nAnswer: n, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1158*v**2 - 102842*v?\nAnswer: -2316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 47*l - 14. Let h be g(-22). Let a be (-690)\/h - 12\/(-32). Solve -4*f - 11 = a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 99. Let o = -63 - y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -492*u*x**4 - 3*u - 2*x**3 + 2*x**2 + 218 with respect to x.\nAnswer: -1968*u*x**3 - 6*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389985?\nAnswer: 3, 5, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**2*t**3 + 3*p**2*t**2 - p**2 + 2*p*t**3*v + 2*p*t**2 + 8*p*t*v - 24*t**3*v - 3*t**3 + 4*t wrt t?\nAnswer: -30*p**2 + 12*p*v - 144*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 135*s + 135*s. Let u(m) = -2*m**2 - 46. Calculate j(u(c)).\nAnswer: -4*c**4 - 184*c**2 - 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, a: 6}. Give prob of picking 4 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171)*-1 + sqrt(171)) + -4*(sqrt(171) + 2*sqrt(171)))\/((sqrt(9) + (sqrt(1296)*-2 + sqrt(1296) - sqrt(1296)) - sqrt(9))*6).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0 + 0)*(-m**2 + 0*m**2 + 3*m**2) - 3*m**3 - 1 + 1 - 2*m**3 + m**3 + 2*m**3 + 2*m**3 - 2*m**2 + 2*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91\/531 + 3\/59. Let k be (-39)\/(-18) + 2*-1. Let n = -0.172 - -0.142. Which is the second biggest value? (a) k (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 12. Suppose -4*x = -i + 33, 0*i + 2*i - 75 = 5*x. Suppose 3*u - 3*r - i = 0, u + 5*r = -4*u + 35. What is the lowest common multiple of t and u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Let l = 1350.9 + -1342.9. What is the second biggest value in -5, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*k + 80, k - 27*s = -22*s + 43. Let h(q) = 2*q**2 - 1. Let w be h(3). Suppose 19*v - w*v = k. Sort -5\/4, v, 5.\nAnswer: -5\/4, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 10. Let l = 38 - b. Let x = 16 - l. Which is smaller: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**2*d*p**2 + 719278*c**2*p**3 - 304*c*d*p - 4*c*p - 2*d*p + d - 16*p**3 - 2*p wrt c.\nAnswer: -8*d*p**2 + 1438556*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-15)*36*12\/6624?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let k = 76.4 - 77. Sort 2\/3, -3, r, k in decreasing order.\nAnswer: 2\/3, r, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2722 - -3266. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + z - 5 = 0, -f - 4*f + 2*z + 11 = 0. Which is the biggest value? (a) 2\/21 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**3 + 9*t**2. Let q = -32 + 23. Let y(h) = 2*h**3 - 2*h**2. What is q*y(c) - 2*p(c)?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -25*h**3 - 18*h**3 + 42*h**3. Let m(p) = -3*p**3 - p**2 + p. What is -m(w) + 5*r(w)?\nAnswer: -2*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -522.8 less than -154.1?\nAnswer: 368.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljhleljljleore. What is prob of picking 1 j, 1 l, and 1 r?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/7 + 10440*h**3\/7 + 465834*h**2\/7 + 434524*h\/7 - 910800\/7 = 0 for h.\nAnswer: -5175, -44, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = 2*x, 2*x + 7*u - 27 = 6*u. Let g(j) = j**3 - 11*j**2 - 17*j + 98. What is the tens digit of g(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Suppose 0 = 2*n + 3*n - 20. Let f be -3*(-1 + 0)\/1. Let r(g) = -3*g**2 + f*g**2 + n*g**2 + 0*g**2. Determine r(l(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 9*o + 7. Give a(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -115, -4, -2?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*p = 30, -444*s + 440*s = -3*p - 61 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) - ((-168)\/20 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -98, -93, -78, -47, 6, 87, 202?\n\"Answer: g**3 - g**2 + g - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-6)*q*q**(1\/9))**(-1\/20)\/((q\/(q**(1\/11)*q*q))\/q*q*q*q*q\/q**(-2\/11)*q)**14 assuming q is positive.\nAnswer: q**(-17059\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87356579440 + 10054043440804979\/115092. Let m = -58\/1251 + h. What is the common denominator of m and -59\/4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1147384012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664078 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: Solve 226 = -171*x + 910 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (2 - -6)) + (-11 - -65) - -11.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -275*w - 7968. What is b(-29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46665886 to the nearest integer?\nAnswer: 6831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-12)\/1 - 1. Solve 0 = 5*p + 25, 2*a - 2*p - w - 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9839.\nAnswer: 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 203?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4148 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3079581.\nAnswer: 3, 47, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5252661343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + (-122 - (42 - 144)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 34*g + 78. Let j be k(-19). Suppose y + 12*v - 7*v - 14 = 0, 3*y - 29 = -j*v. Solve 0 = -4*c + 4*b - b + y, -b = -1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14821564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 15. Let q be (9\/6)\/(p\/(-4)). Let f = q + -38. Calculate the common denominator of -41\/3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-8))\/(685\/274). What is the nearest to 6\/5 in 0.4, z, -5, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(1\/4)))**(-6\/7) assuming w is positive.\nAnswer: w**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {y: 4, s: 6, x: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose 0 = 23*g - 329 + 30. Suppose i*w - 5 = g. What is the lowest common multiple of 26 and w?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 44\/(-16))*932. Let m = -402 + f. Which is smaller: -168 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30648582.2 rounded to the nearest one hundred thousand?\nAnswer: -30600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1670731.84 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 4*n - 8. Let w be k(6). Suppose 47 = w*h + 11. Let j = 241\/12 - 239\/12. What is the third smallest value in j, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2128, -2352, -2576?\nAnswer: -2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -17*v**2 + 3. Let n be k(2). Let x = -60 - n. Factor 18\/7*a**3 - 24\/7*a**4 + 0*a - 4\/7*a**2 + 10\/7*a**x + 0.\nAnswer: 2*a**2*(a - 1)**2*(5*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-366)\/(1 - 3). Suppose 0 = -3*p + p + 2*r + 136, -3*p = 3*r - l. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 1\/2 (c) -3 (d) -83 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687*k + 160 = -688*k. Is k less than -476\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*m**4 - 3964*m**3 + 66816*m**2 + 981040*m + 84800 = 0.\nAnswer: -53, -10, -2\/23, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 47\/6 (c) 72 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 + 6 - f - 4*f + 3*f + 3*f**2. Let d be t(-5). Let y = 48 - d. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -137, -279, -425, -575, -729, -887?\n\"Answer: -2*i**2 - 136*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 5*t. Let v(k) = -k. Let p(d) = d**3 + 29*d**2 + 86*d + 207. Let h be p(-26). What is h*y(r) - 4*v(r)?\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/(2*sqrt(7)) - (sqrt(28) + 1 - sqrt(7))) + (sqrt(84) - (sqrt(84) + 5*(sqrt(84) - sqrt(84)*1) - sqrt(84)))\/(-1*sqrt(972)))**2 + -1.\nAnswer: 847\/324 + 11*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t - 86. Let w be j(-11). Suppose -2*g - 3684 = -5*b, -b = -w*g + 32*g - 729. What are the prime factors of b?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39699 and 723805?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 50*l**2 - 15*l - 173. Let o be j(-15). Suppose -34*y + o = -11648. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1154532.55 and -0.4.\nAnswer: -461813.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 1 (b) 0.41 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/100 and (-15)\/54*1236\/300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-31)\/2)\/(-5 + (-63)\/(-14)). Let l = -31 + y. Put 1\/2, 0.3, l in descending order.\nAnswer: 1\/2, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-394)\/1920 + (-1)\/(-5). Let a = -8176074\/11 + 1569806603\/2112. Let c = a + w. Sort 2\/5, c, -0.4.\nAnswer: -0.4, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**3 - 6*y**2 - 3*y - 11. Let u be n(-4). Let v = u - 223. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3496 and 55292?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 31 - (36 - 68)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (45\/4)\/(-15)*1\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) + -3 + 3. Let k = 1.3 - -3.7. Which is the nearest to r? (a) -0.1 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 54, 99, 144, 189, 234?\n\"Answer: 45*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (397 + 459 - 308)*(5*b - b - 2*b)*(1 + 3 - 1)*(5*b - 2*b + 0*b) to the form h*b**2 + q + i*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 14.2.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460020.\nAnswer: 2, 3, 5, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -188 - -512. Suppose 2499 = p*n - 321*n. 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 -0.000007471903 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 2202955.\nAnswer: 2202954.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1339095 is divided by 78770.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(-1460)\/(-173010)*(-9)\/8?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-4 + (13 - 4))) + -1. Let l(q) = 8*q**2 + 5*q + 9. Let r(d) = 4*d**2 + 3*d + 5. Calculate p*l(s) + 5*r(s).\nAnswer: -4*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 535*n + 6653*n + 1869*n + 4932*n + (0*n + n - 3*n)*(-2 + 2 + 2) to q + d*n and give d.\nAnswer: 13985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/212 + 457\/2332. What is the closest to -3 in 1\/2, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147517314*l**6 + 180564*l**2 - 178*l wrt l.\nAnswer: 17702077680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-106)\/84 - (-1350)\/945)\/((-7)\/1218)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 56659 + -69940.8\nAnswer: -13281.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*i - m - 2*m, -4*m + 16 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -581*q**3 - 583*q**3 - 17*q**2 - 7 + 17*q + 1163*q**3. Calculate y(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzbb when four letters picked without replacement from {z: 1, n: 7, b: 4, p: 4, d: 4}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-735)\/40*1340\/2345\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 10*r**2 + 6*r - 1. What is z(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-3))\/(-1))\/((-5)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/3*((-504)\/(-16))\/21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u + 1. Let d(g) = 12*g - 63. Let j be d(10). Let w = j + -58. Give q(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2, 1, 1\/3.\nAnswer: -1\/6, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 76 + 20. Suppose -4*x - 3*j - 5211 = 0, 3*x = 8*x - 3*j + 6534. Let a = 1312 + x. What is the remainder when m is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -36, -54, -76, -102, -132, -166?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 5*y + 1. Let a(u) = -6*u + 41. Let g be a(6). Let p be 10*(g - (-45)\/(-10)). What is l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-8)\/10) + 0. Suppose -2*w + 3*x - 12 = -4*w, f*w + 3*x - 48 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -2.24\nAnswer: 20.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 27252*z**2 - 245353908*z - 385534614844.\nAnswer: 4*(z - 12391)*(z + 2789)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5809908 and 20.\nAnswer: 29049540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74479 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -2 - (-2)\/(-2)*-2. Let g be -3 - q\/(9\/(-282)). What is the greatest common divisor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/52506 and 69\/692.\nAnswer: 18167076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 28*p = 90. What is the remainder when ((-114)\/24 + 5)\/(3\/2796) is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/3 and -145\/4054872.\nAnswer: 4054872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucdkkkks. What is prob of picking 1 d and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 26076\/14065?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5427674 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from {w: 5, a: 4, f: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100*c**2 - 13 - 2224*c**2 + 1126*c**2.\nAnswer: 2*c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 9*d**2 + 4*d + 3. What is the tens digit of j(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*z - 209*z + 2*n = -32791, 43747 = 4*z + n. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 59. Let w = f + 43. Let x = w - 8. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f - i + 38, -3*f + 71 = -2*i. Let l(r) = 354*r - 1. Is l(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + (-15)\/2. Let y = -5 - i. Calculate the remainder when y is divided by ((-2)\/(-5))\/(6 - ((-290)\/(-25) + -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose 0*b = w*b - 2*v - 6, 3*b = -3*v + 21. Suppose b*c + 123809 = 35809. Round c to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtm when three letters picked without replacement from {a: 2, t: 1, j: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081 - 2148 + 1067 + 11*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 431, -1, -2, -73, -163 in descending order.\nAnswer: 431, -1, -2, -73, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109002 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002020000222 (base 3) to base 14.\nAnswer: -10d8a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 - 2*h + 4. Let w be (1 + -3)*(-6)\/4. Let z be (-9)\/(-4) + 2\/(-8). Let k be w + -2 - (-1 - z). Determine q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8323.31 + 222617694?\nAnswer: 222626017.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 726?\nAnswer: 39204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598 and 9062.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -9. Suppose -12*k + 69 + 27 = 0. Let d = q + k. Solve 14 = -2*v - o + d*o, -13 = 2*v - 3*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 598147?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*a + 17 = 0, -28*n + 2*a = -17*n + 8*n + 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -17*d**3 - 1393*d**2 + 74*d - 503. Calculate b(-82).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 815251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**2 + 3*q + 27. Let n(a) = -5*a**2 + a + 13. Let d(l) = 4*f(l) - 7*n(l). Let j be d(9). Does j = -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:02 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -y - 0*y - t, 0 = -5*y + 4*t + 404. Suppose 14*l = 9*l + y. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1082215 (base 11) to base 9\nAnswer: -3502717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 599828 = 5*s, 2*s - 239930 = 5*a - 4*a. Let h = s - 34966. Round h to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1 - (-218)\/(-280). Let l be (-2)\/(-1) - 71\/35. Let q = l - g. What is the nearest to -0.1 in 2\/11, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*q - 60*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 2815 + 2824 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 11*w**4\/24 + w**3\/2 + 341*w**2. Determine o(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-177)\/24)\/(9\/(-6)*(6 - (-76)\/(-12)))?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15024, 30039, 45054, 60069, 75084, 90099?\nAnswer: 105114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - 352\/(-20). Is (6\/y)\/((-2)\/(-762)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0 + 0*w + 9\/80*w**6 - 11\/40*w**5 - 1\/140*w**7 + 1\/4*w**4 + 0*w**3 - 1\/224*w**8 - 9*w**2. Suppose c(k) = 0. Calculate k.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 4\/7, -0.3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:53 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 909 and 531708.\nAnswer: 161107524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1936\/371 - 36\/7. Is 1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 7}. What is prob of picking 1 a and 3 d?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29690 + 29689.5. What is the closest to -3\/4 in 2\/5, -1\/4, l, -1\/45?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140435261\/1269138 + -10\/48813. Let l = -221\/2 + n. Factor -18\/13*k**2 - l*k**4 - 14\/13*k - 4\/13 - 10\/13*k**3.\nAnswer: -2*(k + 1)**3*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 438*p**2 + 124*p + 136770. What is m(437)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 8*b**2 - 11*b - 4. Let n be g(6). Suppose -4*h + 6 = -h. Differentiate 2*x**2 + n*x**2 - 4*x**2 + 3 - h*x**2 wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:15 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117.4 + 118.4. Which is the nearest to 1\/2? (a) -5 (b) -7 (c) 3\/2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3 + (2 - 4 - 1)*((2 + 4 - 1)*(3 + 1 - 2) - 1 - 2 + 2))*(-2*u**5 + u**5 + 9*u**5).\nAnswer: -208*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/4))**(2\/7)\/(w*w\/w**(-1)*w\/(w*w**(-5)\/w)*w))**(-14\/11))**(1\/46) assuming w is positive.\nAnswer: w**(139\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:40 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -939757496*t**3*x - 158*t**2 - 46135*x wrt t?\nAnswer: -5638544976*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 1. Let v be z(-2). Suppose -v*b + 2*b + 18 = 0. Suppose 2*a - 4 = b. What is the remainder when 31 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-115))\/(4\/(-40)). Let n = y - 25\/92. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1092.9 - -3.\nAnswer: -1089.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -169739*u. Let d(k) = -2*k. Determine l(d(c)).\nAnswer: 339478*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3744) - -2*sqrt(3744) - sqrt(3744)) + sqrt(26) - sqrt(26) - sqrt(26))\/(sqrt(2) - sqrt(32)*-4) + 1 + -1 + -5 + sqrt(26)\/sqrt(2) + sqrt(13))*-5.\nAnswer: -285*sqrt(13)\/17 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + (2 - -5) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:32 AM?\nAnswer: 434","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*k + 24*k + 28*k - 27 - 87*k to w + i*k and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 15*k + d - 1, -3*d = -k + 9. Suppose -2*w = -5*x + 1390, 2*w + 834 = k*x + 4*w. List the prime factors of x.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 764\/1605 + -1\/107. Let h = -2\/15 + i. Which is the nearest to -1\/3? (a) 0 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(7\/5))**20*(g\/((g\/g**(-2\/15))\/g)*g\/g**(-4))**18 assuming g is positive.\nAnswer: g**(668\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(90)\/sqrt(2) + sqrt(45).\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/2, -11\/3, 2\/3, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, t: 1, v: 3}. Give prob of sequence vtv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41\/3? (a) 1\/7 (b) 4\/121 (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 12 - 5)*(-3*f - 12 + 2*f + 9 + (3*f - 3*f + f)*(2 - 1 + 1)).\nAnswer: -4*f + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.23238316 rounded to zero dps?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618865732?\nAnswer: 2, 11, 17, 827, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15275, -29045, -41315, -52085, -61355, -69125?\n\"Answer: 750*s**2 - 16020*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-497*u + 965*u - 501*u)*(-2 - 8 + 21) in the form y*u + c and give y.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56, -66, -76?\n\"Answer: -10*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1704623, -3409252, -5113881, -6818510, -8523139, -10227768?\nAnswer: -11932397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 65 = -a, z - 4*a - 47 = a. Let x = -60 + z. Suppose 0 = -2*p - 3*s + 487, -x*s - 261 = -p - 0*p. What are the prime factors of p?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 153937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969576, -1939149, -2908724, -3878301, -4847880, -5817461?\nAnswer: -6787044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1956 and 12388.\nAnswer: 37164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 - 3*i + 2. Let l(k) = -5*k**2 + 4*k - 2. Let h(c) = -5*l(c) - 4*x(c). What is h(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170\/255)\/((-2)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2957 or -8875\/3?\nAnswer: -8875\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*h - 85 = 226 + 2637 + 1378 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*j**2 - 27*j**2 - 55 - 14*j**2 with respect to j.\nAnswer: -82*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49b40b7 (base 12) in base 6?\nAnswer: 1233012351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.2. Let c = -1.36 + -1.74. Let k = c - -0.1. What is the closest to s in k, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g - 8. Suppose 0 = 2*q + 10 + 4. Let s be k(q). Suppose -y + s = -w, -2*y + w + 3 + 7 = 0. Put -16, -4, y in increasing order.\nAnswer: -16, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 12*j**3 - 30*j**2 - 37*j + 9*j - 2*j**2.\nAnswer: -4*(j + 1)**2*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + -111001110110?\nAnswer: -111001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/13))**46*((v*v**(-7))\/v)\/(v**(2\/3)\/v))**(33\/2) assuming v is positive.\nAnswer: v**(-2189\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.8 + 21.2. What is the biggest value in -2, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 269 = -2*j, -5*t + j + 36 = -242. Suppose -t = 27*z - 1. What is the second biggest value in -10, z, 0.08?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52147*v - 5079 + 5079.\nAnswer: 52147*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100044839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156848854 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.18 times -1940184\nAnswer: -2289417.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1344)\/(-8)*2280\/19152?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -356, -284, -212, -140?\n\"Answer: 72*m - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*d - 18, 7*l + 6 = d + 2*l. Suppose -3*g = -3*m + d, 5*g + 2 = -m - 2. Which is the biggest value? (a) -2 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 189063839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3036260 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -41, -89, -161, -263, -401, -581?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 35, 50, 69, 92?\n\"Answer: 2*g**2 + 5*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, 8, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g + 107. Let h be n(-15). Suppose 7*q = -h - 5. Let c be 4\/(-10) + (-28)\/(-95). Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/10*(-17)\/204?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 0*w - 10*w + (-3 + 0 + 2)*(-2*w - 1 + 1) - 3*w - 2*w + 2*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496.910543 rounded to zero decimal places?\nAnswer: -1497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -36, -191, -492, -987, -1724?\nAnswer: -2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1394895 decades in millennia?\nAnswer: 0.001394895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1 + 4 + 2*z - 1. Suppose -2*p = -2*w, 3*w - p + 2*p = 4. Let n = -4 + w. Calculate g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/374 + 379\/1870. Put 1, -75, h in ascending order.\nAnswer: -75, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 7*v**2 - 25*v + 5. Let u(r) = 5*r**2 + 3*r - 3*r**2 + 2 - 11*r. Let n(k) = 4*f(k) - 14*u(k). Find m such that n(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 6 + 14 = 0. Suppose 4*j = -4*m + 12, l*m + 5*j - 19 = -m. Suppose 4 = 8*y - 4*y. Which is the second smallest value? (a) m (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h**3 - 6*h**2 + 4*h. Let s(r) = 40*r**3 - 17*r**2 + 11*r. Calculate -17*i(l) + 6*s(l).\nAnswer: 19*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92935 * -0.5.\nAnswer: 46467.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and 14400.59.\nAnswer: 14399.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n - 11*n + 6*n + (-3 + 0 + 2)*(-3*n + 0*n + 2*n) + 64*n + 137 - 137 in the form v*n + t and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1989*t**2 - 3853*t**2 + 1939*t**2.\nAnswer: 75*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, n: 5, x: 4}. What is prob of sequence lx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1394*x + 5246*x - 31543 + 167238 = -253357 for x.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 180.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 2*s**2 + 5*s**2)*(3 - 2 - 2 + (-2 + 2 - 2)*(2 - 6 + 3) + 2 - 1 - 3 - 2 + 3 - 8).\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:54 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 + 306*d + 305. What is the remainder when 1885 is divided by j(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 480811.3 millilitres?\nAnswer: 480.8113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42716 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q\/(q**(-1\/16)*q)*q)\/(q\/(q\/q**4)))\/(q**(2\/25)*q**(-4\/3)))**(-11) assuming q is positive.\nAnswer: q**(-4169\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 21 + -3 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 839*g**2 + 5*g + 5. Let r be k(6). Suppose -5*u + r = -4*o, -5*u + 1166 = -o - 29070. Round u to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Suppose w - 3 = 1. What is the second biggest value in w, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9 * -3.0574.\nAnswer: 11.92386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m + 2*f, 4*m + 2*f - 4*f - 16 = 0. Let w = -6 + m. Let x be 2\/(-5) + (6\/(-10) - w). Solve -4*o - 4*h = -12, -2*o - x*h + 3 = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**3 + 3*t**2 + 6*t + 4. Let p(j) = 20*j**3 + 8*j**2 + 17*j + 11. Let z(k) = -17*m(k) + 6*p(k). Give z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/20 and 103\/6281878?\nAnswer: 62818780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -833, 1, -5 in increasing order.\nAnswer: -833, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtjjtjjjjj. What is prob of picking 1 j and 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65c44 (base 13) to base 11.\nAnswer: -116629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9204.587s to nanoseconds.\nAnswer: 9204587000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2800382 divided by 5.\nAnswer: -2800382\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 3*i)*(2771*i**2 + 739*i**2 - 620*i**2).\nAnswer: 2890*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1568 at least as big as -1571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 - 5536926*d**2\/5 + 2554790257188*d\/5 + 5109602662104\/5.\nAnswer: 3*(d - 922822)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-380)\/35*(-14)\/4. Suppose -8*j = -6*j - g. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 82. Suppose 2*q - 30 = 16. Suppose n + 2*n + 2*h - 16 = 0, 0 = -4*n - 3*h + q. Solve n*x - 6 = -m*c, 0 = -c + 1 + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-16)\/(-4) + -3). Which is greater: 2\/57 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*q = 3*q - 956, 5*q - 956 = -4*w. Suppose 3*a = 2*z - a - 80, 5*z - w = -3*a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 94083432 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/3)\/((-16)\/40*(-5)\/76). Solve c - 40 = -i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -486702 + 7879839.\nAnswer: 7393137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, 4476, -14, -5 in increasing order.\nAnswer: -14, -5, -2, 28, 4476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 86, 167, 248, 329, 410, 491?\n\"Answer: 81*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllslssssssls. Give prob of sequence sll.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*j + 55. Suppose 6*b = j*b. Suppose b = -4*a + 10*a - 3894. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-20)\/(-16))\/(-7 + 8). Let m = -36378\/319 - -1262\/11. Sort h, m, 3.\nAnswer: h, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104472 - -42?\nAnswer: 104524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327*y**2 - 565.\nAnswer: 654*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9 = -3*m, 2*m + m + 6 = -2*d. List the prime factors of (d\/(-3))\/(-1) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:29 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 3*u**2 + 1. Let j be a(2). Let g = j - -5. Is g < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 18\/701 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*2\/2 + 3. Let r be 6\/o - (-3 + 3). Let g(c) = -c**3 + 5*c**2 - 2*c - 2. Let q be g(r). What is the greatest common divisor of q and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)*(-3)\/2. Let g(y) = -y**2 + 29*y + 137. Let z be g(33). Suppose a = z, -2*s - r*a = -198 - 259. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 60*p = 175*p - 22541903. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, t: 2, s: 1, m: 6, l: 6, e: 1}. What is prob of sequence sts?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1032?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -81 - ((11 - 105) + 56)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 10) + (-1 - 0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67 + 247?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 11. Let g be q(-7). Suppose 0 = g*s + 2*f - 152 - 64, 5*s = 4*f + 270. Let z = 309 - 294. What is the remainder when s is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + s - 2*s)*(2 - 4 - 4) + 0*s - 4*s + 2*s as h*s + z and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9251 - 2435 + 402*v - 92*v.\nAnswer: 310*v + 6816","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*q**3 - 949*q wrt q.\nAnswer: 444*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -541.1 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 55888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m\/m**20*m**(-4\/3) assuming m is positive.\nAnswer: m**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-18 - -12) + -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 0 + sqrt(1900))**2 + sqrt(19) + -1 + -4 + (-2*(sqrt(228)\/sqrt(3) + sqrt(19)))**2.\nAnswer: sqrt(19) + 8279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -1\/330*i**5 - 2\/33*i**4 + 0 + 0*i - 2*i**2 - 16\/33*i**3. Determine p, given that u(p) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839981251093.73 take away -0.2?\nAnswer: 839981251093.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 17*d**2 - 18*d - 22. Let k(l) = -l**3 + l**2 + 1. Let m(j) = -2*k(j) - w(j). What is the units digit of m(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -1200*o**3\/7 + 458520*o**2\/7 - 3780909*o - 513282609 = 0?\nAnswer: -61, 4431\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 31, 50?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buuuxxufuffubfbfubx. Give prob of picking 1 x, 1 u, and 1 f.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 11544955.\nAnswer: -1\/11544955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**2 + 7*z + 10. Let w(f) = 3*f**2 - 4*f - 5. Let d(q) = -2*n(q) - 5*w(q). Let j be d(6). Solve 26 = 2*u + 4*t, 3*u = -t + j*t - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from dvdddbdbdddddddb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2734446 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -22*u + 52482. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = a - 3. Is 7 a factor of 3*a\/(-6) + (25 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 3365.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzitaiaizaxdiai. Give prob of sequence zd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11007312 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**4 - 25*z**3 + 265*z**2 + 23453 wrt z.\nAnswer: -8*z**3 - 75*z**2 + 530*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n + 25, 0 = -3*t + 4*n - 23. Let w(d) = 5*d**2. What is w(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-3) + (5 - -2). Let z(a) = a**3 - 9*a**2 - 13*a - 11. Let s be z(q). Suppose s - 376 = -4*h. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102816*j**3*l**2 + 4*j**3*l + 2355*j**3 + 3*j**2 + 3*j + 7 wrt l?\nAnswer: 205632*j**3*l + 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let f(h) = 1342 - 671 - 2*h - 665. Give -f(u) - s(u).\nAnswer: u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -104, 1, -10, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1076316 and 6.\nAnswer: 6457896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488 = -4*v + 50*v - 290*v. Sort -13, -3, v.\nAnswer: -13, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 467 + -459. Let r be ((-7)\/56*-12)\/((-12)\/p). Sort 14, -2, r in descending order.\nAnswer: 14, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-9)\/6)*14. Suppose -4*h - r - 1 = -5*s, -4*s - h + 19 = 0. Let o(g) = g**2 + 11*g + 12. Let u be o(-10). Is s smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(63\/(-6))\/21. Let s(j) = -j**3 + 5*j**2 + 7*j - 9. Let b be s(6). Sort h, -1, b in decreasing order.\nAnswer: h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (2\/(-6))\/(-4 - (-110)\/30). Let z(f) = 2*f**3 - 8*f**2 - 4*f - 6. Let d be z(6). What is the highest common divisor of g and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -5. Let z = -10751\/21490 - -3\/10745. Sort z, -7, p in increasing order.\nAnswer: -7, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/482579?\nAnswer: -6\/482579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-54) - (-4)\/(-18). Suppose -5*l - 3 = -3*k - 0, -v = -k - l. Calculate the remainder when 1 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 7*g + 155. Suppose -y + 7 = 4*f, -9*f = 3*y - 8*f - 10. Solve 4*x + 3*q = g, -x + 2*q - 21 = -y*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84879, -84883, -84887, -84891, -84895?\n\"Answer: -4*c - 84875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.95 + 0.05. Let c = v + -9.45. Let b = 0.4421 + c. Round b to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {e: 2, g: 2, d: 7, o: 2, u: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38540519 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3\/6 + 5*d**2 + 17*d. Let s be c(-7). What are the prime factors of (6 + 45)\/((9\/2)\/s)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286784777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**3\/3 + o**2\/2 - 3*o. Let y be n(-2). Solve r + 2*r + 22 = y*x, -r - 5*x = -26 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from tzbtttbtbtbttttbt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 8 + 20 + 3039*l in the form z*l + n and give z.\nAnswer: 3039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 14 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 345 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 not equal to -15.532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*12\/(-15) + 1. Let a = 7 + -11. Let o be ((-2)\/22)\/(1\/(-2)). What is the smallest value in a, o, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 42115701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - 57*m - 210. Let u be g(-5). Solve -40*r + 10*r - 120 = u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 + 5*i - 7. Let g be c(-6). Let s be (-2)\/(-1)*g - -24. Let h(a) = 1 + s*a**3 + 4*a**2 + 0 - 23*a**3 - 2*a. Give h(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 346 + -346.7925. What is h rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(-2*sqrt(4)*4) + -3.\nAnswer: -3 - sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 p, and 1 h when four letters picked without replacement from heooooheoohhphoooe?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (46\/(-115))\/((-3)\/12) - 2. Let j be (-1)\/((16\/(-28))\/(-4)). What is the fourth smallest value in -5, 1\/6, j, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 16 - 4. Let l be ((-1)\/(-4))\/(o\/24). What is the second derivative of 35*n + l*n**2 - 29*n + 2*n**2 wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let o be 1 + (-12)\/r + 7. Suppose 0 = 2*w + 4*v - 7 - 1, o*w = -2*v + 22. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3*h + 4*h)*(-2 + 11 + 8).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -261*m**2 - 8*m + 2 - 5 + 127*m**2 + 131*m**2 - 8 to w*m + x*m**2 + n and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - (-6)\/(-195)*-265. Determine o so that n*o**2 - 8\/13*o**3 + 0*o - 10\/13*o**4 + 0 = 0.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -32*m**3 + 3*m + 2. Let k(j) = j**3 + j**2 + j. What is b(g) - 2*k(g)?\nAnswer: -34*g**3 - 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10110110111110100101000 (base 2) to base 16\nAnswer: -5b7d28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 16*d**2. Let z be n(-16). Suppose z*h = 4*h - 2*k - 18, 5*k = 15. Is 26 a factor of (-17 + -2)*4*h\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10208\/4127 or 1?\nAnswer: 10208\/4127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 9*f**2 + 0*f + 4*f)*(0 + 3 - 5 - 5 - 2 + 5 + (0 - 1 + 3)*(1 + 3 - 3) + 1 + 2 - 1 + 0 + 0 + 1).\nAnswer: 9*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, -2, 2\/7, 19, -48?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*h + 15*h = 12*h - 23, 0 = h - 4*h + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73e (base 16) to base 13.\nAnswer: ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34711957?\nAnswer: 7, 37, 223, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022 + 12?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67.37*-6.6.\nAnswer: -444.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-6) - (-1)\/((-42)\/(-3983))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 10480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*a - 3. Let p be 9 - 5 - a*-32. Suppose p - 8 = 6*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -98, 330, 782, 1264, 1782, 2342?\n\"Answer: s**3 + 6*s**2 + 403*s - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 3*t - 293*t**2 + 1788*t**2.\nAnswer: 1495*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -384 - -388. What is the third derivative of 4*g**n + 174*g**2 + 61 + 62 + 12*g**3 + 66 - 189 wrt g?\nAnswer: 96*g + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/43684 and -109\/7172?\nAnswer: 480524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(768) - 6*(sqrt(768) - (sqrt(768)*2 + sqrt(768)))))**2 + 4.\nAnswer: 1168132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q. Let a(t) = -2*t - 294. What is a(w(f))?\nAnswer: -14*f - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 3*q + q, -q = t + 6. Suppose 3*r = -5*g - 109, -5*g - 5*r - 106 = -3*r. Let f be 66\/g - (1 - 4). Is t less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**5\/20 - 5*w**4\/12 - w**3\/6 - 3*w**2\/2 - 96*w - 12. Let j(p) be the first derivative of l(p). Calculate j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-6)\/42 - (8758\/(-7) + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**34*v)\/v)**(-9)*(v**(-42))**44)**(22\/3) assuming v is positive.\nAnswer: v**(-15796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3360 is divided by 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49\/15 + -18\/5. Let s = 1 + -2. Let z = 1 - s. Put z, -0.4, c in decreasing order.\nAnswer: z, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 27*x**2 + 16*x + 26. Let j be n(-3). Find the first derivative of -220*q**2 + j*q**2 - 9*q**4 - 98 - 16*q**4 - 157 wrt q.\nAnswer: -100*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/5 - 8054*y**3\/5 + 7342878*y**2\/5 - 2531313026*y\/5 + 301822000472\/5 = 0 for y.\nAnswer: 373, 2908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 304684\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -382338311*n**2 - 279*n + 127577?\nAnswer: -764676622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/939 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3361.\nAnswer: -3\/3361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 185869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 - 443\/2. Do g and -1\/12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(405)*1 + 4 - (4 + -2*sqrt(405)))*-4)**2.\nAnswer: 1458000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f)**(-24)*(f*(f\/f**(-2))\/f*f)\/f**(-1\/4) assuming f is positive.\nAnswer: f**(305\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -42. Solve 0 = -b*u - 0*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - 5*(-2*sqrt(216) - sqrt(216)))*3)\/(sqrt(128) + 1*1*sqrt(128) - (sqrt(128) + 3*-1*sqrt(128))) + -5.\nAnswer: -5 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115330953?\nAnswer: 11, 461, 219943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 1, l: 1, t: 1, f: 8, x: 2}. Give prob of sequence ltjx.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 22 - 46. Let n = 8 + f. Let z be 1\/2*2 - -4. Solve n = 2*b - 3 + z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(-51 + 56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7497 or -8\/15?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.04, -3, 0 in descending order.\nAnswer: 0.4, 0, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 + b**5\/20 + b**4\/8 - 121*b**2. What is w(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a16 (base 15) in base 10?\nAnswer: -15771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 3. Let l be t(3). Suppose -3 + 10 = -m. Let x = l - m. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-14) - 2) + (-678)\/(-42)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 10 = 5*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0.1, -2, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 19. Let y be c(4). Suppose -2*a = a. Suppose -4*b + b + 78 = a. Solve 2*v = -y*p - 1 + b, -v - 3*p + 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160164*f**3 - 14*f**2 + 3*f + 1073 wrt f.\nAnswer: 960984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.40935 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 65?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 12. Suppose 4*a + 41 = -3*t, -2*a + j*t - 7 = t. Let h = 15 + a. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u\/(u\/(u*u\/(((u*u**(1\/2))\/u)\/u)))*u)))*u\/(u**(-5)*u))\/(u\/(u*u*u**5*u)*u*u**1*u*u) assuming u is positive.\nAnswer: u**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from ppwploppl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2100*(-25842)\/1695060 + 8*-4\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = -36*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6*(-4)\/(-32)) - 7\/((-2940)\/(-240)).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*z + 4*z - 6*z + 10*z.\nAnswer: 8*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 15200?\nAnswer: -15201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 5*f**4 - 4*f**4 + 2*f**4 + f**4 - 2*f**4 + (f**3 + 3*f**3 - 6*f**3)*(0*f + f + f) + 1 - 1 + 2*f**4 - 6*f**4 + 21*f**4 + 9*f**4.\nAnswer: 21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 + 8. Let r = f + 0.9. Which is greater: r or 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + -135. Let l = j + 52. Which is the second biggest value? (a) -1 (b) -1\/9 (c) -16 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-255)*6\/(-4)*(-7)\/(-7)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127423008 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7195*i - 119617 - 75639 = 96894 + 10040 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 19 = 4*z, 5322*a - 5321*a = -z + 13 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -257\/3. Sort f, -2\/7, 2\/7 in increasing order.\nAnswer: -2\/7, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 14. Calculate the remainder when -5 - (-4*12)\/4 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**5))\/b**(-5\/2)*(b**4*b)\/((b\/b**(-1\/6))\/b) assuming b is positive.\nAnswer: b**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 247 + -157. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-1 + (2 - 4) + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 + 12506*h**3 - 25031*h**3 + 12509*h**3.\nAnswer: -16*h**3 - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1458 and 7803?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:34 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3302253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:42 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999023867.\nAnswer: 3, 2141, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**2 - 188*y + 786. Calculate s(-27).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -98*h**5 + 574*h**4 - 438*h**3 + 90*h**2 = 0.\nAnswer: 0, 3\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.5 (c) -413\/5 (d) 12 (e) -3\/2 (f) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 313893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83\/1782 - 37\/162. Suppose -3*l - 5*n + n - 12 = 0, -15 = 5*n. Which is the nearest to l? (a) 0.4 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**8\/112 - u**5\/60 - 11*u**4\/12 + 12*u**2. What is the second derivative of r(z) wrt z?\nAnswer: 60*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkdpjddklplw. What is prob of sequence ppk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.699 - -326.999. Let k = -319 + d. Which is the third biggest value? (a) k (b) 0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 23*h - 12. Let u = 125 - 115. List the prime factors of q(u).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 12) to base 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3\/((v**(-1\/10)*v*v)\/v*v) assuming v is positive.\nAnswer: v**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d + 23*d + 23*d - 210 + 42*d - 106*d.\nAnswer: 4*d - 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 33. Suppose y - 4*b - b = -75, 3*y - 5*b = -185. Let x = q - y. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -20, -28, -36?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j + 34*j = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20*q = -18*q + 24, 3*p - 88 = 2*q. What is the least common multiple of p and 216?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(6 + 4)\/(-10) + -8. Let p(g) = g + 7. What is p(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -10. Let f(u) = 2*u**2 + 13*u + 8. Let p(i) = i**2 + i + 1. Let t(c) = n*f(c) - p(c). Calculate the least common multiple of t(-13) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i - 60. Let h(g) = 1404*g**2. Give v(h(f)).\nAnswer: 7020*f**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49380*-2759.\nAnswer: 136239420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 - 2*z**2 + 2*z**5 + 3*z**5 + (0*z - 3*z + 4*z)*(-2*z - 8*z**4 + 2*z) - z**5 + 0*z**5 - z**5.\nAnswer: -9*z**5 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 4*w**2 + 3*w. Let q be u(-3). Suppose 2*n + 0*n - 6 = q. Suppose -3*p + 13 = -4*g - 12, -n*p + 3*g = -21. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + sqrt(720) + 0)**2 - sqrt(720))*-6.\nAnswer: -17280 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.087 - -0.413. What is the closest to g in -4, 0.17, 0?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q**2 - 3*q + 1. Suppose -2*f = -x + 8, -2*x = -3*f - 4*x - 19. Let h be p(f). Suppose 2*k - h = -2*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195701.\nAnswer: 11, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 27, -1\/2, 2\/3.\nAnswer: -1\/2, 1\/3, 2\/3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + z - 560482 = 0, -4*n + 1152295 - 31331 = -3*z. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -15694, 28 in increasing order.\nAnswer: -15694, -2\/5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*s - 4)*(-1 + 4 - 2) + 51*s - 24*s + 13*s to m*s + g and give m.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 + 2. Let v be d(-2). Suppose 38 = 2*k + 4*r, -k - v = -3*k + r. Solve -4*n - 2*b = -5*n + k, -2*n - 5*b - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3421340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11524 is divided by 446.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3187583489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 1 - (-11 + 21)) + -10 - -13 - -92\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 - 28*o. Let u be k(-9). Let h(b) = b**2 - 30*b + 199. Let a be h(u). Let g(q) = -q**2 + 12*q + 12. Give g(a).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - w + 4 - 1 = 0, 0 = a + w + 1. Let b(i) = -28*i**a + 33*i**2 - 3*i**2. Let s(c) = -94*c. Give s(b(h)).\nAnswer: -188*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0100605378 to 4 dps.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231853 and 515?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 6, -10, -32, -60, -94?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38504 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3393 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -457 - 8?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 7:19 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 0*a - a)*(3*a**3 + 2*a**3 - 3*a**3)*(5 - 4 + 2)*(4 - 3 + 5) to the form l*a**2 + j*a**4 + d*a**3 + z + n*a and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 136833892.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(2\/23)*v)\/(v\/(v\/(v\/v**(-9)))))\/(v**4\/v*v*v**(2\/43)) assuming v is positive.\nAnswer: v**(-11011\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64 and -10391833332.\nAnswer: -10391833268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 10*c + 4. Let o be (4\/3)\/(12\/(-90)). Let k be a(o). Find the third derivative of -7*s**k - 6 + 7*s**2 + 6 wrt s.\nAnswer: -168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*n - 14952 = 117*n - 953*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 12. Let g be s(-12). Suppose -6*a = -2*a + 2*v - 18, g = a - 5*v + 12. Solve -b - 3 = -a*h, 0 = 3*h - h + 2*b + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 246. Let b = r - 167. What is the third biggest value in -0.1, 3, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - 68 - (14 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/2 - 9*r**4\/2 + 14*r**3 - 18*r**2 + 8*r = 0 for r.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.2 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((5 - 4) + -2) + 4. Suppose -80 = -0*q - s*q. What is the greatest common factor of 144 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 4*r**2 + 5*r + 6. Give n(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 491 + 526. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 10 - -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4686 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 6894.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + i + 5, -4*z + 0*i = -i - 11. Suppose u + 6 = z*u. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -i, -3*i + 5*i = -t. Let w be 0 + 40 - (0 + t). Let c = w - 21. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-26)*(-5272)\/(-3295)*65\/16\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/404 and 43\/8484.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.2319mm in nanometers?\nAnswer: 613231900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**6 + 5*n**6 + 3*n**2 - n**3 + n**3 wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 6. Suppose -6 = -4*k + 34. Give f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 12. Let c(u) = u - 12. Calculate -3*c(j) - 2*f(j).\nAnswer: -j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*(-11)\/(-231)*(-9)\/(-2). What is the nearest to -0.1 in -4, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 6. Let b(r) = r**2 - 2*r - 3. Let g = 2 - -1. Let h be b(g). Give v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7173816042.\nAnswer: 2, 3, 79, 15134633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 13*s - 95. Calculate v(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w**2 - 2*w - 9. Let m(k) = 3*k + 17. Let q be m(-4). Let a be q - 4 - (5 - 2). Let x be z(a). What is the greatest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = b + 3*q, 3*b = 4*q. Suppose -b = 5*k - 24. Suppose 0 = t - k - 2. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {v: 1, p: 1, o: 1, g: 2, y: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 29*y**5\/12 + 40*y**4\/3 + 10*y**3 - 306*y**2. Find d such that l(d) = 0.\nAnswer: -2, -6\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**4\/12 - h**2\/2 + 40*h. Let a(j) = -20*j**2 - 16. What is -a(o) + 16*n(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 2*sqrt(171))**2 + sqrt(19) + (sqrt(19) - (3 + sqrt(19) + -1))**2.\nAnswer: sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 444, 1713, 3802, 6687, 10344, 14749, 19878?\n\"Answer: -4*y**3 + 434*y**2 - 5*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 1, f: 2, k: 3}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/9 (b) 51 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11210 + -3?\nAnswer: 11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 + (-15)\/(-12). Let q be 2\/4*1262*u. Let l = 2231 - q. What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 578410?\nAnswer: 1735230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -4\/319 (c) -2\/15 (d) -0.3 (e) 2 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 - 7*k**2 - 2*k + 8. List the prime factors of r(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 175*f - 1755*f - 3 - 33.\nAnswer: -1580*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b56 (base 12) in base 14?\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000138 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u**(-1)\/u*((u\/u**(-1\/2))\/u)\/u**(3\/2)*(u\/u**(-5\/3)*u**(-3))\/(u**0*u*u**(-7)\/u) assuming u is positive.\nAnswer: u**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -4*i**3\/3 - 27*i**2\/2 - 24*i - 246. Let y be g(-5). Solve n - y = -5*c, -3*n + 5*n = -4*c + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u - 1. Let i be g(-2). Let q be 28\/10 + 3\/i. What are the prime factors of 1 + (48\/q)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10874 - 174 = -4*s. Let b be (-2)\/(-12) - (s\/30)\/5. Let q be (-150)\/(3\/(-1)) + -5. What is the greatest common divisor of q and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 5*j = 88. Solve 2*b + 6 = j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/3846 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1345 + 1358. Solve -2*u = f - 2, -j*u + 2 = f - 8*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -878 (base 16) in base 14?\nAnswer: -b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 59*p. Let r = -71 + 73. Let z(c) = 47*c**2 + 41*c**2 - 90*c**r. Give t(z(g)).\nAnswer: -118*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**10)**(-19))**35 assuming h is positive.\nAnswer: h**(-6650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -h - 2*h - 12, 0 = -3*h + 2*o - 12. What are the prime factors of -3 - -1 - h - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, d: 2, e: 1, y: 2, c: 1, m: 2}. Give prob of sequence dcdy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6643662, -13287323, -19930984, -26574645, -33218306, -39861967?\n\"Answer: -6643661*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16084.6 - -15846. Which is the smallest value? (a) 0.1 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(13248\/345)*18*4\/(-320).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 879.9 and -0.999.\nAnswer: 878.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 + 2 = 0, -4*n - 15 = -3*x. Let b(u) = -u**2 - 6*u - 4. Let c be b(-6). Let v be c\/(-4)*(n + -1). Is -4 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26591 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -19*u**3 - u**2 - 2*u - 1. Let b = 4 - -1. Suppose -2 = -3*q - b. Let s be l(q). Solve -3*f - 4*r = 13, -3*f + s = -3*r - r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -23*s**5\/5 + s**4\/6 + 151*s**3\/6 - 55*s. What is the third derivative of l(h) wrt h?\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(12\/(-14) - -1). Let n(s) = s**3 - 7*s**2 - 2*s + 9. Let k be n(h). Let q(d) = d**3 + 6*d**2 + 2*d - 4. Is 4 a factor of q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 2*v**4 - v**4 + (1 - 1 + 2*v)*(-3*v - v**3 + 3*v) + 49*v**4 + 13*v**4 - 20*v**4 + 24*v**4.\nAnswer: 60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2510*c - 2492*c - 1512 = 0. Suppose z - 56 = -0*z. What is the greatest common divisor of c and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*a + 2*a. Suppose -142 - 368 = -a*f. Let o = f - 23. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 555471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 + (-6 - 0\/(-6)))\/(-1). Solve -26*h = -7*h - l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**7)\/v*(v**(4\/5)*v)\/v)**(-25\/2)\/(((v*v**(2\/7)*v)\/v)**(-32))**33 assuming v is positive.\nAnswer: v**(17643\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5912 (b) 0.88 (c) -0.2 (d) 1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -3)\/((-1)\/37). Suppose -6*w + 3*o = -w - 103, -2*w = 3*o - v. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*c + 2. Let n(k) = k - 1. Let l be n(c). Solve i = d + l, -2*d + i - 20 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1865615393 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1489 - 1481. Let s be -1 + 14 + -4 - 5. Solve -c = -s + d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060351717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*n - 86 = -76, 4*n = -3*c - 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 35*j**2 + 180.\nAnswer: 5*(j - 6)*(j - 3)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(0 + 1\/5). Suppose 0 = -m + 4*c - 8 - 3, -4*c = 4*m - 36. Put 1, o, m in ascending order.\nAnswer: o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1168*n - 473. Does 23 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + r + 4*r. Suppose 0*y - 2*y = -4. Let v(d) = 2*d + 3*d**y - 2*d. What is v(s(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4635 and 6180?\nAnswer: 18540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 225134 (base 8) to base 12\nAnswer: 38250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:11 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 + 145. Suppose -s = 2*z - 2*m, -m = z + m + 10. Is -8 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 7*z**4 - 62*z**3 - 44*z**2 + 792*z + 1152 = 0.\nAnswer: -2, 6, 48\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 3 + -1 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r + 40. Let o be g(-10). Suppose o = 2*t - 10 - 2. Factor 3*z**4 - t*z + 2 - 5 + 3 - 9*z**2.\nAnswer: 3*z*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207.9512ml to litres.\nAnswer: 0.2079512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851879 to the power of 1\/2, to the nearest integer?\nAnswer: 1963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 24*d - 408*d**2 - 432*d**2 - 2 + 845*d**2 as m*d + g + v*d**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3946827*r**3\/5 - 13764*r**2\/5 + 12*r\/5 = 0. What is r?\nAnswer: 0, 2\/1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 700687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z**3 + 61*z. Let w(p) = p**4 - 37*p**3 - 122*p. Let k(y) = 7*m(y) + 3*w(y). Find the second derivative of k(j) wrt j.\nAnswer: 36*j**2 + 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 74*q - 5683. Calculate the remainder when v(92) is divided by 104.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216.5 + 216.5. Which is the fifth biggest value? (a) v (b) 1\/4 (c) 1 (d) 5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -15. Suppose -67 = -5*n + 2*o, -5*n + 71 = w*o - 4*o. Calculate the remainder when 72 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 1. Let k be u(-5). Let t(h) = -h - k + 6. Let o(j) be the second derivative of j**3\/6 + 3*j. What is o(t(c))?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8401008772876*v**2 - 3*v**3 - 8401008772876*v**2 + v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/300*-8)\/((-3)\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68729 - -68733. Let j(k) = k**2 + 0*k - 4*k + 0*k**2. Calculate j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 5*c**2\/2 + 23*c\/4 - 7\/2.\nAnswer: (c - 7)*(c - 2)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + 3. Let u = -33 + 4. Let b = u - -37. What is the remainder when y is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125211403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 57\/277 (c) -9169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**4\/2 - 2*i**3 - 3*i**2\/2 - 5*i + 8. Is o(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*r + o + 11, 28 = 5*r + o. Suppose r*h = -4 - 11. Sort 3, 1\/4, h in descending order.\nAnswer: 3, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(245) + -1 + sqrt(245) + sqrt(245) + 0 - 2*(sqrt(245) + sqrt(245) + sqrt(245) + 0))*-5 + 5)**2.\nAnswer: 12600*sqrt(5) + 331350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:46 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4294, -1, 1, 3 in decreasing order.\nAnswer: 4294, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/8 + 309*q**2\/8 - 39*q = 0 for q.\nAnswer: -104, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11676 by 6.\nAnswer: -1946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -12. Suppose -9 - g = -5*t. Suppose -5*f + 4246 = t*a, 3*a - 2*a + 1 = 0. Round f to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 8*y + 2. Let t be s(-6). Let i = -28 + t. Is 29 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0134873623 rounded to four dps?\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 649 (b) -0.5 (c) 15 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g - 24 = 53*g + 6*m, -22 = -5*g + m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3128.4 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 396855976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w - 3*w)*(596*w**2 - 84*w**2 - 195*w**2) - 3*w + 3*w**3 + 3*w.\nAnswer: 637*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 998899.784 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 3345772.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**2\/2 + 205*j + 2. Let m(w) = -53*w - 70. Let i(z) = 3*a(z) - m(z). What is the derivative of i(h) wrt h?\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -v - 5, -2*k - k = -3*v. Solve -k = y - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 18*a + 34. What is o(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -61. Suppose -t - 563 = -5*m, -o + 4 = -5*t. Calculate the remainder when m is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 2. Let k be x(2). Suppose -k*f + 5*f = 4*t + 2, 0 = 2*f + 4. Let d be (-114)\/(-133) + (-64)\/(-7). Sort d, t, 5.\nAnswer: t, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u**3 - 21*u**2 - 8*u. Let p(x) = -7*x**3 - 11*x**2 - 4*x. Let w(l) = 3*k(l) - 5*p(l). Determine g so that w(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j + j**2)*(-j**2 - j + j) - 108*j**4 + 205*j**4 - 100*j**4 + 119.\nAnswer: -4*j**4 + 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 43432115556.98?\nAnswer: 43432115557.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 21*h**4 + 13*h**2 + 5*h + 5. Let i(u) = -20*u**4 - 12*u**2 - 4*u - 4. Let o(s) = 5*i(s) + 4*z(s). Find the third derivative of o(t) wrt t.\nAnswer: -384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 = 19628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 20 - 15*y**3 - 15.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4386664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 9*k**2 - 24*k. Let v(t) = 2*t**3 - 8*t**2 - 24*t. Let b(h) = 7*v(h) - 6*w(h). Determine m, given that b(m) = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(4\/6) + -1. What is the third derivative of 2*y**2 - x*y**6 - 4*y**2 + 3*y**6 + 5*y**2 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9827)\/36 - (-18)\/81. Let y = q - -273. Factor -1\/2 - 1\/4*u + y*u**2.\nAnswer: (u - 2)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 2*i**3 + 3. Let u(c) = -2*c**2. Let y(q) = 5*q**2. Suppose 0*p + 6 = -2*p. Let r(k) = p*y(k) - 8*u(k). Calculate d(r(z)).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 5166.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 4005*u**2 - 1314369*u - 14946657.\nAnswer: -3*(u - 673)**2*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 554*j + 926. Is 36 a factor of o(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {n: 4, z: 1, d: 2, m: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4934540.\nAnswer: 2, 5, 13, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let x(s) = 10*s. Let p(z) = 8*b(z) - x(z). Suppose -2*n + 5 = 5*m - 21, -5*n + 11 = -m. Let g be (8\/(-6))\/(2\/n). What is p(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 493, -67726.\nAnswer: -67726, -4\/7, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**2\/2 + i + 1. Let t(b) = b - 1. Let v be t(-4). Let j be (-68)\/(-20) + (-3)\/v. Calculate x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4125860454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6)\/(16\/(-36)*-1). Suppose 3*y + t*a - 6 = -y, -y = 5*a + 7. Put 0, y, -1 in decreasing order.\nAnswer: y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.1308 and -15.\nAnswer: -20.1308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -841532442*k + 16059121 with respect to k.\nAnswer: -841532442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50621336.\nAnswer: 2, 2153, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n = 29*n - 48. Let g = 6976\/1131 - 1\/754. What is the common denominator of (4\/n*-110)\/(-8) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -3, -1, -4 in decreasing order.\nAnswer: 9, 5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7 - 1 + 0 - w. Let a be f(-10). Find the third derivative of -2*q**2 + 0*q**a + 0*q**2 - 6*q**5 wrt q.\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -917 + 919. Put -4\/3, s, 4, 3 in decreasing order.\nAnswer: 4, 3, s, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(630))\/sqrt(10))\/(sqrt(81)\/(2*sqrt(9))).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 531\/(-45) + 12 + -1 + 0. What is the third biggest value in q, 0.4, -0.3, -0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 307.91, -7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 51. What is the units digit of -1 + -2 - p - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((10\/(-7))\/5). Let i be q*(0 + (-30)\/(-7)). Let h be (-181)\/(-4) - (-1)\/(-4). What is the greatest common divisor of i and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*a + 2, c = 2*a + 2*a + 4. Suppose 3*v + 2*t = 10, t + c*t - 5 = -5*v. Suppose v = -4*l + 25 - 21. Put 0.5, l, 0, -0.4 in descending order.\nAnswer: l, 0.5, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3508\/13 - -270. Which is the closest to -0.1? (a) 5 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 717600 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -68 + 8. Let k be (-191988)\/16 - 9\/u. Round k to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206212.\nAnswer: 2, 31, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1674 and 6.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25576 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*g + 2*g = -8, -10 = 5*g. Suppose -x = -l + 3*x + 29, -4*x - 4 = a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -5 (c) -35 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:36 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 10) to base 3.\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 59780223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let x(i) = 7*i + 2. Let g = 27 + 28. Suppose -19*m = -8*m + g. Let d = -1 - 0. What is d*x(b) + m*p(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 245?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/60 - a**4\/12 - a**3\/6 + 6*a**2. Let u be z(2). What is the units digit of u\/4 - (-147)\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/384)\/(201\/268)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -83*f - 16. Let x(v) = -31*v - 6. Let y(s) = 3*w(s) - 8*x(s). Let j(i) = 99*i**2. Calculate j(y(b)).\nAnswer: 99*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224214.6811 + -1.2.\nAnswer: -224215.8811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 9 + 36 = 0. Suppose 2*k - 30 = -3*x, 29 = 4*x - 4*k + q. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-16))\/(39\/312). Solve 4*j - 3*x + 4 = -7*x, -z*j + 3 = x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + 199. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60345110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 110864914 to the nearest 1000000.\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let z be -4 - (3 - 2\/2). Let t be z*6\/(-4) - 2. Let s(i) = 4*i - t*i - i. What is s(m(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m - 190 = 24*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004295249 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2. Let g(x) = -9*x - 31. Let b(z) = 10*z + 29. Let w(i) = -6*b(i) - 7*g(i). What is f(w(j))?\nAnswer: -9*j**2 - 258*j - 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 82*p. Let q(h) = -3*h + 12486. Give y(q(o)).\nAnswer: -246*o + 1023852","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.05484001 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*g = -11, -7*g - 22 = 5*w - 14*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*g**3*z**4 - 33*g**3*z**3 + 253*g**3 + g with respect to z.\nAnswer: 44*g**3*z**3 - 99*g**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2. Let k(p) = 99*p + 1. Calculate j(k(x)).\nAnswer: 29403*x**2 + 594*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1981.07 and -4.61.\nAnswer: 9132.7327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19\/2 + 9. Let u = 39 + -102. Let f = u - -65. Put n, f, -0.07 in decreasing order.\nAnswer: f, -0.07, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-252) + 325\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139300 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -48, -38, -4, 66, 184, 362, 612?\n\"Answer: 2*x**3 - 6*x**2 + 2*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45078 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -746851*f*m**3*s**2 - 90*f*m**3 + 3*f*m**2*s - m**3 - 3*m**2*s**2 - 241*m**2*s - 7*m*s wrt s?\nAnswer: -1493702*f*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6, y - 11 = -3*t + 3. Let b(q) = -q**2 + 0*q + 4 - 1 - y*q + 0*q. What is the lowest common multiple of b(-3) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2958, 23744, 80146, 189966, 371006, 641068, 1017954?\nAnswer: 1519466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + u = d - 30, -5*u = 3*d - 50. Solve 3*i + d = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/8*-2)\/(3\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -30806070\nAnswer: -9241821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6 - -12) + (11 + -27 - 43) + -4?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -497023525*l**2 + 526435499*l?\nAnswer: -994047050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 74821 = -c + 74738, -2*c + 5*g = -387 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/13804 - 286379\/248472. Find the common denominator of 75\/32 and o.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 62400012\/(-48). Round i to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -124?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106074398 to the power of 1\/2, to the nearest integer?\nAnswer: 10299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -3)\/((-24)\/16). Let v(b) = -11*b + g*b**2 + 18*b - 7*b. Let f(t) = 4*t. Calculate v(f(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 212, 232, 252, 272?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*t - 4*t. Suppose t*i = -4*y + 16, 2*y + 5*i = -2*y + 16. Factor 5\/4*r**3 - 1\/4*r**y + 0 + r - 2*r**2.\nAnswer: -r*(r - 2)**2*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419 - 293*q - 151 + 295*q + 127.\nAnswer: 2*q - 443","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 0.3, 0, -1198?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let v(o) be the third derivative of 0*o**3 + 1\/12*o**4 + 0*o + 0 + 3*o**2. Determine v(l(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-6))\/(((-64)\/(-36))\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*(4 + 1589). Suppose -4*m + w = 2*m. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23124 < 1.019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7dc (base 14) to base 12\nAnswer: -aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9885310493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -7 - 8. Let c be -3 + 15\/6 + 15. Let h = c - 16. Which is bigger: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 2. Let j be o(-7). Let q(l) be the second derivative of -3*l**4\/2 - 7*l**3\/3 + 2*l - 4604. Let g(h) = 6*h**2 + 5*h. What is j*q(t) + 14*g(t)?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 2*v**3 + 0 + 0 + v**3 + (2*v - 4 + 4)*(0*v**2 + v**2 + 0*v**2) - 38*v**3 + 16*v**3 + 14*v**3 to the form l*v**3 + o + r*v + t*v**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from fey.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 8. Let t = 0.64 - -0.36. Let j = t + 3. Which is the fourth biggest value? (a) 2\/3 (b) s (c) 0.4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 15*z**2 + 13*z - 25. Let j be u(15). What is the highest common divisor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103086 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/4 + (-42)\/(-56))\/3. Which is the closest to -1? (a) 8 (b) 3\/7 (c) 3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*s**3*t*u**2*y**3 + s**3*t*u**2 - 2*s**3*t*y**2 - 14*s**2*u**2*y**2 + 3*s*u**2*y**3 + 2*t*u**2*y wrt y?\nAnswer: 336*s**3*t*u**2 + 18*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3640 + 3628 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8189 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -77491869 and -0.2.\nAnswer: 15498373.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89214 and 27329222?\nAnswer: 81987666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210947.\nAnswer: 11, 127, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 7*o + 56. Let m be r(14). Let p be 4*(m\/8 + 22\/44). Which is smaller: p or -58\/3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7*l - 197852 = 0, m = 150*l - 155*l + 197912. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-21) + 16\/7. Suppose -100 = -j*s - 2*s. Let w = s - 18. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 79*r**3 - 134*r**3 + 8*r**3.\nAnswer: -205*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -0.6. Suppose 5*p + j = 105 - 9, 48 = 2*p - 2*j. Let h be 5\/4*12\/p. Which is the third smallest value? (a) 1\/5 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 6*j**2 - 2*j - 12. Let r be t(5). Let p(c) = -40*c + 44*c - 3 + r. Let v(w) = -3 - 5*w + 3 + 4*w. Give -p(m) + 2*v(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -1, -2416, 5 in ascending order.\nAnswer: -2416, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x**2 - 23*x + 6. Let q(k) = -2*k**2 + 4*k - 1. Let h be -1*618\/(-18) - (-1)\/(-3). Suppose 2*b = 17 - 5. What is b*r(z) + h*q(z)?\nAnswer: -2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008 = -22*u + 11436. Is u a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*-3*(sqrt(612) - (sqrt(612) + -5*sqrt(612)*-2) - (-1 + sqrt(612)*1)))**2*-1.\nAnswer: -31990896 + 57024*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*h + 102 = -h, 0 = 4*i + h - 110. Let g = 31 - i. Let t be 0*(-5 + 0 + g). Sort 1, -2, t in decreasing order.\nAnswer: 1, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 2, 1\/46, 3, -1.\nAnswer: -107, -1, 1\/46, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167267, -334501, -501737, -668975, -836215, -1003457, -1170701?\nAnswer: -1337947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from holh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**8\/84 + 2*f**7\/15 - 3*f**6\/5 + 4*f**5\/3 - 4*f**4\/3 + 2468*f**2. Factor j(k).\nAnswer: -4*k*(k - 2)**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d + 360 = -9*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a decade?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 136 + 36?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*j**2 + 191*j**2 + 289*j**2.\nAnswer: 356*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -901168.870595 - -901165. Let k = 3.87 + n. What is k rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 5*z + 1. Let u be w(6). Differentiate 5*r**2 + 3*r**2 - u - 3*r**2 with respect to r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*f**2*v**2 - 3016*f**2*v - 2*f**2 - f*v**2 - 107166*v**2 wrt f.\nAnswer: 20*v**2 - 6032*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 746615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 42. Let o be (-4)\/14 + (-88)\/x. Let k(q) = q**3 - 34*q**2 - 114*q + 117. Let r be k(37). Is o less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/19)*p**(2\/79)\/p*(p\/(p*p**(-23))*p)\/p*p**(-2\/41) assuming p is positive.\nAnswer: p**(1339502\/61541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 1 + 1. Suppose -15 = -3*p, -21 = -4*k - 4*p + 3*p. Let i = 9 - k. Solve r*q + 5*o + 0 - 11 = 0, 2*o - 16 = i*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)\/h*h*h)\/h**(-3\/2)*(h\/(h*h*h*h**(1\/4)))**9 assuming h is positive.\nAnswer: h**(-647\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 24 - 39*x**3 + 40*x**3 + 5*x - 11*x**2. Let m be c(8). Let q = m - -50. What is the remainder when q is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*s - 5, 3*a + 3*s + 21 = 4*a. Calculate the remainder when -3 + (-3 - (-3 + -32)) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 6*t + 172 = 0. Let c(j) = 3 + j**2 + j**3 + 4*j**2 - 4. What is the remainder when t is divided by c(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/15*(12\/(-8) - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/20 - j**4\/12 + j**2\/2 - 36*j + 6. Let z(a) = -8*a**2 + 8. What is 24*f(g) - 3*z(g)?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 20 = 5*u - 5, -2*u + 3*p = 15. Which is smaller: 2\/39 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12405958 to the nearest integer?\nAnswer: 3522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3096\/(-180)*3\/(-6) + 9*-1. What is the closest to b in -0.5, -0.19, -2, 14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*n + 42051 + 43995, -5*n = -2*l - 215114. What are the prime factors of n?\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 3. Let g be y(3). Let a be (-4 + g)*1 + -6. Let w = -3 - a. Does 3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**8\/8 + z**4\/8 + 5*z**2. Find the second derivative of n(w) wrt w.\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-32)*3\/5\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28687*x**6 - 36383*x**2 wrt x?\nAnswer: 3442440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 4*d + 16*d - 6*d**3 + 20*d.\nAnswer: -6*d**3 + 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -109*g**4 + 3*g**3 - g**2 + 325. Let z(s) = -3*s**4 + s**3. Let v(m) = u(m) - 3*z(m). Differentiate v(j) wrt j.\nAnswer: -400*j**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.056\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.3403*2.\nAnswer: 16.6806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/(-6)*(11 - 2). Suppose -2*g = -5*u - b, 5*u = -2*g - g - 84. What is the remainder when 34 is divided by (u + 0)*(-4)\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + s)*(8*s + 1 - 1 - s + 2 - 2 + 5*s - 2*s - s + (3 + 1 - 2)*(s + 3*s - 2*s) - 2*s + 0*s - 4*s + 0*s + s + s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 - -348. Let c = 248.07 - z. Round c to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111828400 to the nearest one hundred thousand.\nAnswer: 111800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**5 - 9*j**4 + 957*j**3 + 1881*j**2 - 13770*j = 0.\nAnswer: -18, -5, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63 - 66*q + 135*q + q**4 + 19*q**3 - 69*q wrt q?\nAnswer: 4*q**3 + 57*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 4*p**3\/3 + 8*p**2 + 55. Determine r so that q(r) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2443\/5 - 22012\/45. Which is the second smallest value? (a) 2\/7 (b) s (c) 6.1 (d) 2 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*a + 2*y, 0 = -5*a - 4*y - 0*y + 76. What is the highest common factor of a and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4 - 8*l - 4. Let s(t) = -t + 7. Let o(u) = 0*u + 309 - 313 + u. Let g(i) = 7*o(i) + 4*s(i). What is w(g(h))?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*l = 40, k + 0*l + 2*l + 8 = 0. Let n(b) = 7*b**2 + 9*b + 43. Let q be n(k). Round q to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 23. Solve -4*s - 5*g = -41, -5*g = 2*s - c*g - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 717 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 3*h**2 + 6*h**2 + (-133*h - 1 + 134*h - 5)*(98*h + 65*h + 207*h).\nAnswer: 371*h**2 - 2220*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70.69 - -71. Let r = 0.01 - o. What is the third smallest value in 2, -5, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8*a + 15. Suppose 4*f + a*p = -2*p - 1, -3*p = 4*f - 9. Let b be ((-9)\/f)\/(2\/(-4)). What is the highest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 + 90 - 20*w + 2*w**2 to the form r + b*w + n*w**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/64140 and -95\/166764.\nAnswer: 833820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/165154986 and 45\/73402216?\nAnswer: 660619944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2867336 - -51666115\/18. Let g = z + -3011. What is the common denominator of g and 23\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(((-2484)\/667)\/18).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**3 - 2*i + 1. Let n be j(1). Sort n, 5, -3.\nAnswer: -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119604659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -125, -190, -255?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*x + 1, 0 = 3*k + 6*x - 2*x - 5. Suppose 3 + 8 = k*s + y, 4*s = -y + 13. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.05, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 473?\nAnswer: 5203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1*sqrt(175))*4.\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-25)\/(-10)) + (-15)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -10287 (b) 6 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*y - 15794 = -116*y - i, 2 = -i. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 11. Let v be 6*-6*(-4)\/(-18). Determine k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.148608008 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -14, -38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -432, 2, -1, 0.4, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28883 and 8914?\nAnswer: 257463062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 - (-1 - -1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by -12671.\nAnswer: -79\/12671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*j - 3275 = 2320 + 48 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 72885272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d**2 - 5*d - 3. Let s be c(-4). Suppose -423 = -4*h + 5*n, 2*h - s = 3*n + 208. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -22*r - 154. Calculate y(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7399213, -14798424, -22197635?\n\"Answer: -7399211*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 0, -4, 79 in decreasing order.\nAnswer: 79, 0, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 2938?\nAnswer: 2937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*p + 31. Let m = 34 + p. Let n(k) = -2*k**3 + 105*k**2 + 523*k + 13. Let d be n(57). What is the greatest common factor of d and m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:14 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 16*r**4 - 663756*r**3 + 497804*r**2 + 165936*r = 0.\nAnswer: -1\/4, 0, 1, 41484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 710*x. Let c(d) = -60350*d. Calculate -5*c(z) - 426*y(z).\nAnswer: -710*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**7\/42 + 130*c**6\/3 - 221*c**4\/6 + c**2 + 3*c + 2. Find the third derivative of s(y) wrt y.\nAnswer: 60*y**2 + 31200*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31914.39 rounded to the nearest 100?\nAnswer: -31900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 - -3*(-3)\/(-3). Suppose 10*w = -j - 3. Let p be w*(-4)\/60 - (1 + -1). What is the second smallest value in 0, -3, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.08, -1\/9, 2, 1, 115, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2509 and -37.03847.\nAnswer: -37.28937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*m**3*w**2 + 4*m**3 - 6*w**2 - 189 wrt w.\nAnswer: -60*m**3*w - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 930\/124*(-23)\/25 and -23\/270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4, 3*u - v = 10 + 3. Suppose -p - p = 0, u*p - 80 = -5*r. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*g = 0, -2*g + 2 = -3*k + 3*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493953 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-430)\/11 + ((-4632)\/(-132) - 35).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6662 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27099 is divided by 793.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/4 + (3 - 9\/4). Let q(p) = -2*p**2 + 25*p**2 + 11*p**k. Let n(i) = -3*i**2. Give q(n(x)).\nAnswer: 306*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77.1813 - 0.1187. Let t = -77 - j. Which is the second biggest value? (a) -1\/4 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 11) + (3 + 3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 11. Let a be k(4). Is a + 0 + (-3 - -2157) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 + (-3055)\/(-35). Let r = 85 - x. Let f be (-1 - r) + 0 + 0 + 2. Solve 0 = -2*k - f*m - 1 + 3, k = -m + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 41 = -2*b. Calculate the remainder when 93 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308161.\nAnswer: 7, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-8)\/(-3). Let c be (-2)\/(-8) - (-7)\/k. Find the third derivative of 1 - j**5 + j**c - 1 wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:22 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(65416\/78514) + 32\/52.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s - 2*m + 7, -2*m - 4 = 0. Suppose -s*o - 201 = -69. Let q = 0.7 - 1. Put o, -1\/6, q, -3\/5 in increasing order.\nAnswer: o, -3\/5, q, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Suppose 10*x - 12 = 9*x. Suppose 5*u - 13 = x. Calculate the highest common divisor of l and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.2 - -140.2. Let f = m - 120. Let k = -4.4 - -4. Which is the fourth smallest value? (a) 2\/3 (b) 0.1 (c) f (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111100011000 (base 2) in base 15?\nAnswer: 8660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6179.6977 + 6180. Let z = 0.31483 - g. What is z rounded to 4 decimal places?\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1085 and 105.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2 - (-2 - -3)*-7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 0.3, -21, -0.33?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5652300 divided by 94205.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7692.0000018626 - -7692. What is u rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + x**2 + x**2 - 5*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.39 - -39.1. Let r = v - 0.51. What is the smallest value in 1, r, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22689 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.32 + 4.78. Let y = k - 8.1. Sort y, 13, 1\/5 in ascending order.\nAnswer: y, 1\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.2 + -2.2. Which is the third biggest value? (a) o (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86 - -5383364?\nAnswer: 5383450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7419693 is divided by 2290.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181\/4 + 45. Sort b, -0.4, 1\/5 in ascending order.\nAnswer: -0.4, b, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621 (base 7) to base 9.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-44)\/(-110)*1*10\/88\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -685, -2964, -6793, -12196, -19197, -27820, -38089?\nAnswer: -50028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 20*s - 15. Let p be y(21). What is the common denominator of 5\/(-1040)*-1446 - p and -131\/6?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/37, -3, 3, 5 in decreasing order.\nAnswer: 5, 3, 4\/37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 629843050 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2331757757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*k + 450 = -87*k. Solve 16 = k*f + 32*i - 36*i, -4*f = -2*i - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3\/2)*0. Suppose t = 2*w - 4*w. Let q(n) = -n**3 + 2*n**2 + 23*n + 21. Let s be q(6). Solve 4*v + v - s = w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2019874504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2520 + 1817.1. Let l = b - -714.900064. Let i = -12 + l. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500))**2 - ((-2 + (sqrt(45))**2 - sqrt(5)) + sqrt(5)).\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u + 3*u - 5*u - u + 3*u - 3*u + 2*u - 3*u - u + (-2*u + 3*u - 2*u)*(0 - 1 + 2) + 2*u - 1 + 1 + u - u - u + 39*u + 32*u - 163*u.\nAnswer: -90*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 0 - (-384 + 377).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6) - 0)*-10. Let z = 30 - j. Suppose -4*i - 3*m + 0*m + 277 = 0, 15 = -3*m. Calculate the remainder when i is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.07 (b) -14 (c) -192 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/42284 and -71\/9900.\nAnswer: 9513900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 43843?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2355*f**2 - 6*f + 28. Let s(y) = -2355*y**2 - 5*y + 23. What is 6*s(h) - 5*x(h)?\nAnswer: -2355*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/4) + 168\/(-105).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8168 + 0?\nAnswer: -8168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -4999 (c) -2\/7 (d) 3\/8 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1681*i**5\/30 - i**4\/8 + 184*i**3\/3 - 39*i**2 - 4*i + 3. Find the second derivative of m(k) wrt k.\nAnswer: 6724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13768567*d**2*f*u**2 + 742179*d**2*u**2 - d*u**2 - u**2 with respect to f.\nAnswer: -13768567*d**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 0 + v + 1\/60*v**5 + 1\/72*v**4 + 0*v**2 + 0*v**3 + 1\/180*v**6. Factor h(f).\nAnswer: f**2*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*g + 23, 0 = 5*g + o + 3*o + 41. Let c(f) = -2 - 2*f + 2*f + f. Give c(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1360800, 1360846, 1360892?\n\"Answer: 46*h + 1360754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o**2 - 56*o**2 + 13*o**2 + 12*o**2 + 10*o**2 - 26. Let t(h) = 2*h**2 - h + 6. Let x(m) = -m + 1. Let u(w) = -t(w) + x(w). Give 2*i(f) - 11*u(f).\nAnswer: 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.04 + 8. Let b = f - 0.06. What is the second smallest value in 1, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1986597934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/5 + 6*c**3\/5 + c**2.\nAnswer: c**2*(c + 1)*(c + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005321119 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: aba (base 13) to base 5\nAnswer: 24333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -106.2399829.\nAnswer: -106.4399829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 6:22 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:24 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 25. Suppose 0 = h - l*g + 4*g - 27, 2*g = -2*h + 78. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235180 divided by 2?\nAnswer: -617590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*q = -511, -q = 2*j + 3*j - 2510. Let g = -282 + j. Suppose g = 12*c - 9*c. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t**2 - 54*t + 9. Let c(u) = -3*u**2 + 12*u - 2. Let f(o) = 9*c(o) + 2*x(o). Let z(b) = -1185*b**2. What is f(z(j))?\nAnswer: 1404225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1271*s - 2547*s + 2*s**3 + 527*s**3 + 52*s**3 + 1276*s.\nAnswer: 581*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 5*t + 9*t. Let r be 10\/(7\/3 - 2). Let z = t + r. What is the least common multiple of 2 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 79775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**3\/2 + 21*u**2\/2 + u. Let a be n(11). Let o = a + 22. Solve 6 = 3*v - m - o, -4*m + 6 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129725846*g**3*z**2 - 27940*g**2*z**2 - 94*z**2 + 13*z wrt g?\nAnswer: -778355076*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 5 + v**2 + 0 - 4*v - 2. Let l be z(-6). Suppose a + l - 147 = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2. Let i(k) be the first derivative of -483*k**2 + 279. Give i(a(x)).\nAnswer: 2898*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - v + 2 = 0, 2*c + 25 = -v + 19. Suppose -3733 + 898 = -5*s. What is the hundreds digit of c\/5 + s\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676338932.\nAnswer: 2, 79, 8469427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwp when three letters picked without replacement from iwwwwwwiwwppwwwwwip?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*g + 129192 + 11358 = -77530. Calculate the highest common factor of 658 and g.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*f = 63*f - 96 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18824 + -18825. Which is the biggest value? (a) 1\/4 (b) p (c) -0.5 (d) 97 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(140\/6)*(-168)\/126.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 31. What is the remainder when f is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*c + 435 = 0, -g + 2*c = 7*c - 207. What is the greatest common factor of g and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 110*m + 6. Let z be b(3). Suppose 0 = -0*q - 4*q + z. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -6*q - 76. Suppose q + 25 = 2*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.5. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1)\/((-10)\/(12\/6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 441514 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -393.8 and 7.6.\nAnswer: -2992.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(-19 - -17). Let b = 3\/44 + v. Let i = -6 - -5.7. What is the third biggest value in -4\/3, b, i?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/30 and 7\/69534.\nAnswer: 347670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066968240 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745135 is divided by 149027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -8425?\nAnswer: 84.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {c: 4, l: 5, v: 1, k: 3, z: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.147458 to one dp.\nAnswer: 323.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 1144.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15928449, -15928421, -15928393?\nAnswer: -15928365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 562\/89, -2, 0.1, -1, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474*h**2\/23 + 478*h\/23 - 4\/23 = 0. What is h?\nAnswer: 2\/237, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w - 419. Let m be f(-53). Let z(c) = 2*c + 12. Let y(l) = l + 11. Let g(r) = -4*y(r) + 3*z(r). Let b be g(m). Solve 4 = b*x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4491366 - -24468961835\/5448. Calculate the common denominator of -17\/72 and d.\nAnswer: 16344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)\/(w**(-2\/71)\/w) assuming w is positive.\nAnswer: w**(-708\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 592246.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -16*n**3 + 76*n**2 - 19*n + 197. Calculate o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 368 = 4*h + 9104. Do 542 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 133. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s - 29935 = -229345. Round s to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65088787 to the power of 1\/2, to the nearest integer?\nAnswer: 8068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by -58\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*d*n*s*t + 2*d*n*t - 3*d*s*t**2 - 2*d + 408*n*t**2 wrt t?\nAnswer: -6*d*s + 816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y. Solve -l = i - 5*l + 17, -4*i - l = y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l - 347 + 1400. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70990 - 35314. What are the prime factors of g?\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1278*d + 31. What is the tens digit of v(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 1095?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 13*u**2 + 6*u + 14*u**2 + 38*u**2.\nAnswer: 65*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1534368888*y**5 + 6703629*y**2 + y + 18?\nAnswer: -92062133280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 14 = 2*p, -32118*p + 5*l + 58 = -32122*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3311563.\nAnswer: 23, 143981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -372756936 and -1.6.\nAnswer: -372756937.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**2 + 4492 - 4492.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8420 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Let g be ((-18)\/15)\/((-3)\/10). Suppose g = d - j. Calculate the remainder when 26 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.4 (b) -7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-85))\/(2\/(-7)*147\/(-168))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3600, 14408, 32422, 57642, 90068, 129700, 176538?\n\"Answer: 3603*v**2 - v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -654, -660, -676, -702, -738, -784, -840?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbbr when four letters picked without replacement from {h: 2, x: 2, b: 11, r: 1}?\nAnswer: 11\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-484952)\/168896)\/((-69)\/(-4)) - 1\/(-6). Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1)*10\/4. Let b(y) = 19*y + 4. Let i(v) = 0 - 4 + 1 - 13*v. Let x(o) = s*b(o) - 7*i(o). Calculate x(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*l**5\/15 - 67078*l**4\/3 + 99852*l**3\/5 + 335402*l**2\/15 - 227632*l\/15 - 4792 = 0.\nAnswer: -5990, -6\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 877 = -16*m + 7821. Calculate the greatest common factor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0 - 28*o**2 - 2*o**3 + 3\/8*o**4 + 0*o. What is the tens digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1350 - -6251. Let r = f - 4901.2493. Let v = -0.232 - r. What is v rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8086231.37 to the nearest ten thousand.\nAnswer: -8090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20302794 and 203949.\nAnswer: 629386614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l - 5*g, 5*l + 0*g = 5*g - 20. Let u be 700\/9 - l\/9. Let h be 2\/5 + u\/30. Solve h*b = 5 + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-675))\/(14\/140).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(-5*i + 5*i + 5*i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 20 = -l + 3*s, 2*l - 2*s = 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19160 divided by -3832\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t\/(t\/t**(-25)*t)*t)*(t**17\/t)\/t*t**8*t*t\/(t**6*t) assuming t is positive.\nAnswer: t**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6818 divided by 487?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = -23*m + 34*m - 5*k + 28, -11*k = 5*m - 19*k + 43 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 4. Let c be (6\/15)\/(2\/(-60)). Let r be (-6)\/c - 2\/(-4) - 2. Let a be ((1\/(-2))\/((-7)\/14))\/r. Let v(n) = 1. Calculate a*k(g) + 3*v(g).\nAnswer: 2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 65*c**2 - 38*c + 249. Calculate u(32).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15648*v**2 + 62618*v**2 - 15651*v**2 - 15656*v**2 - 15656*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79568 by -24.\nAnswer: -9946\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (2 + -17 + 4). Calculate the greatest common factor of x and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 11, 4, 3 in ascending order.\nAnswer: 1, 2, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 1. Let b be o(1). Suppose -j - b*j = -12. Suppose 1 + j = 2*a. Sort -3, a, -1 in descending order.\nAnswer: a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 97590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 424 + -424.0000501. What is f rounded to six dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:13 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 104707462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 439278 + 126041. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 1\/6*f**4 + 0*f**2 + 0 + 11\/6*f**3 + 12*f. Find the second derivative of x(k) wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*r - 2*u + u - 143, 5*u - 17 = -5*r + 8*u + 20 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248 - 249. Which is smaller: x or 2\/715?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 171\/21 - 8 - (-27)\/7. Solve 0 = -q*h - 2*h + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:42 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-11\/5))\/c)\/c)\/(c\/(c\/(c\/c**(-3\/4)))))\/(c*c\/((c*c**(1\/23))\/c*c*c))**(-31) assuming c is positive.\nAnswer: c**(-873\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-30)\/75*10\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 6*b + 5. Let m be j(6). Suppose m*r = 4*f - 187, -55 = -0*f - f + 4*r. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 6:15 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/25 - (-44)\/160\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**2 + 19155156*z + 19155153 = 0?\nAnswer: -6385051, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10b5 - 5172?\nAnswer: -6257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 998 + -1035 + (0 - 3 - -9).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 41*s = -43*s - 109*s + 644 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/3, 1.7275 in decreasing order.\nAnswer: 1.7275, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 10*f**2 - 13*f + 19. Let x be l(9). Which is greater: x or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1\/3, -3\/4, 1\/16.\nAnswer: -3\/4, -1\/3, 1\/16, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2187102?\nAnswer: 2187087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/5)*h)\/h**7 assuming h is positive.\nAnswer: h**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/139 + -83117\/695. Let p = k - -122. Find the common denominator of -55\/8 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s, 2*s - 42 = 4*n + 2. Let z = n + 47. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2823355 and 4.2?\nAnswer: -11858091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 34*z - 3136 = 0. Calculate z.\nAnswer: -32, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5989, 6123, 6267, 6427, 6609, 6819?\n\"Answer: h**3 - h**2 + 130*h + 5859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*p - 180, p - 2*j + 72 = 3*p. Suppose -3*t + p = 2*t. Let x be (-20)\/80 + (-2)\/t. Which is the closest to 0.2? (a) 0.4 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o. Suppose o*r = -q - 4*r + 28, -33 = -q - 5*r. Solve -5*u + 2*m + q = 4, -m - 2 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let y be ((4 - 3)\/(-1))\/(-1). Let b(u) = -u - y + 7*u - 7*u. Let j(c) = -14*c - 5. Let w(i) = -5*b(i) + j(i). Give w(t(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 34*k**2 + 2. Let w be t(-34). Solve 5*p = -w*p + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -528*t**2 + 0 - 2*t**4 - 2*t + 2 + 0 + 530*t**2 to m*t + b*t**4 + a*t**2 + n + g*t**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1890 and 28334\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, a: 3, h: 8, w: 2, y: 1}. Give prob of sequence ao.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 68. Calculate the remainder when 78 is divided by g(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 + 550*s - 6755. Determine x(124).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 349411\/2350750 - 6\/9403. Calculate the common denominator of z and -37\/14.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - (-2 - 3)) + (-74)\/(-2). Let z = d + -45. Let h(t) = -t**3 - 9*t**2 - 9*t + 10. What is h(z)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 167 = -4*k - 4*y, -5*k - 143 = -4*y. Let x = -55 - k. Let m = -13 - x. Calculate the lowest common multiple of m and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/15)\/((-20)\/75). Let z = 5399\/3 + -1752. Let j = z - 49. Put k, j, 13 in descending order.\nAnswer: 13, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1044 or 903?\nAnswer: 903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/20 - 2*l**4\/3 + l**3\/6 + 9*l**2 - 2*l. Let q be n(-8). Calculate the highest common divisor of 50 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/27)\/(12\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 332*f**5 - 310512*f**4 + 97944000*f**3 - 10765925632*f**2 + 109392611328*f.\nAnswer: 4*f*(f - 308)**3*(83*f - 936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, -3, -2, -0.1 in decreasing order.\nAnswer: -2\/25, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 0, 4*z - 188 = -3*u + 7*u. Suppose -4*q = -q. Suppose -a + 5 + 70 = q. Calculate the greatest common factor of a and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19666 - 912.14?\nAnswer: -912.33666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259644\/1073 - 8\/(-148)?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 8*w - 211 = -3*v, -286*w + 284*w - 46 - 52 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46250 and 2102750?\nAnswer: 389008750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(32))**2 + sqrt(2) - (1 + sqrt(2) + -4).\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 41 = -4*q. Let c be q\/42 + (-1 - 370193\/(-7)). Suppose 2*o = -c - 57316. What is o rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*c**2\/3 + 30187724*c\/3 - 2515644.\nAnswer: 4*(c + 1886733)*(4*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6925 is divided by 3198.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89.65 - 0.2.\nAnswer: 89.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 18 = -t + 5*w, -4*t = -2*w - 18. Solve 3*b = l - 2, t*b - 14 = -l + 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25606 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.48 + 8.28. What is the second biggest value in 8, x, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35512 or -35501?\nAnswer: -35501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 369? (a) 1 (b) -6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j = 55*j + 892. Let d = 223 + j. Solve -2*i = -u - 5, d = 3*i + 5*u - 3*u - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787317.9 weeks to microseconds.\nAnswer: 476169865920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from hhhppp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1188206, 1188207, 1188208, 1188209?\n\"Answer: o + 1188205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*p**2 + 27*p - 21 + 21 + 3*p**3 - 9*p**2.\nAnswer: 3*p*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**3\/3 - 407. Let z(v) = 5*v**2 - 9*v**2 - 6*v**2. Determine 18*w(c) + 2*z(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 + 9*r**4 + 30*r**3 + 46*r**2 + 33*r + 9.\nAnswer: (r + 1)**3*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (393\/(-1179))\/((-33)\/176*(-4)\/54)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*k - 14*i - 0, -245*k - i = -240*k - 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 36*h + 9. Let d be c(18). Suppose l - 4 = -5*x, 4*l - d = 2*x + 7. Solve 5*v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4601 minus 0.5?\nAnswer: -4601.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -9, b - 861*n = -856*n + 12. Solve 1 = -2*f - 3*l, 0 = 4*f - 4*l - 15 + b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 42 + 6*k - 5*k - 20. Let d be b(-13). Let t(f) = -f**2 - 5*f - 3. Determine t(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 93. Let y(h) = 5*h - 7. Let i be y(w). Let j be (-6)\/(-14) - (-772)\/i. What is the greatest common factor of 42 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 5:11 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 43\nAnswer: -23\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.34 equal to 20\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*-5*(-4176)\/(-5220)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.2, 1\/2, 0.4, 20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t. Let c(n) = 4 - 358*n**2 + 370*n**2 - 4. Calculate c(u(h)).\nAnswer: 1452*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1 + 0*t**2 + t**3 + t**2 + 7*t - 6*t. Let r be x(-1). Solve 3*z + 0*z - 9 = r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0, -1, 8 in increasing order.\nAnswer: -1, 0, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -151.1 and 15291.\nAnswer: -2310470.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1579\/8 and -196 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 80.01755g?\nAnswer: 80017550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, p: 2}. What is prob of picking 3 s?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:05 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -1 + -4 + sqrt(176) - (-5*(0 + sqrt(176) - sqrt(176)) + sqrt(176))) + -3.\nAnswer: -8 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 - 129. Suppose 3*w = 31 - 4. What is the remainder when 194\/10 + w\/15 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2 and -67\/30450800?\nAnswer: 30450800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + (sqrt(600)\/(sqrt(48)\/sqrt(4)*3))\/(sqrt(250)*1 + sqrt(250) + sqrt(10) - (sqrt(10) - sqrt(160)*-6))))**2.\nAnswer: -8*sqrt(5)\/21 + 7061\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbwwbbnnnnw. What is prob of picking 1 b and 3 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -217 + 3*y - 5*y**2 + 0 + 1 + 215. Let n(b) = 4*b**2 - 3*b + 1. Determine -7*n(j) - 6*z(j).\nAnswer: 2*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 156*i + 1247. Calculate k(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 17*x + 2. Let a be s(-15). Let b be 9\/(-15) - a\/5. Find the first derivative of -2 - b + 1 + 0*r**4 + 7*r**4 wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476760705 and 795?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201143477.\nAnswer: 109, 1845353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**3 + r - 18*r**3 + 13*r**3.\nAnswer: -24*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -12*g**2 + 7. Let i(n) = 2*n. Determine i(t(b)).\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000099262754 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3588073 and -554.\nAnswer: 3587519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -8, -36, 0.46, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, k: 1, a: 3, i: 1, q: 1}. Give prob of sequence rak.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -26\/9*m - 176\/3 + 2\/9*m**2 = 0.\nAnswer: -11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967.\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 929*n**2 - 43*n - 311. Is t(29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 + -3*25\/15 - 8 and 147?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 37 - 37. Calculate h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(-1 + 1 + (sqrt(19) - (-1 + sqrt(19)))))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + ((-2 - -12) + -19 - 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 at least as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u. Let m(r) = 3*r. Give z(m(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 538 - 248. Suppose p = 2*u + 3*u. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 5. Suppose r = -4*u - 1, 9 = 5*r - 5*u - t. Let j(d) = d**3 + d**2 - 2*d + 1. Let f be j(-2). Solve r*z + f = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112475 to the power of 1\/2, to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459586 is divided by 206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/((-39)\/(-3348)) + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -10, -27, -62, -121, -210?\n\"Answer: -a**3 + 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1)*60\/405.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 111, 2.\nAnswer: 2, 3, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**2\/2 + 2*t - 8. Let k be x(2). Suppose -18 = 2*c - 8. Sort k, c, 1 in decreasing order.\nAnswer: 1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 68. Let s = 0.14 - 0.11. Let h = -0.23 + s. What is the closest to -1 in p, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 7 = -2*z, 5*c + 5*z - 32 = -12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 c when four letters picked without replacement from cccccncjccjwjncc.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 133 + 140 = 0. Suppose -3 = 4*q - 7. Suppose -d + a = q. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 8296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r + 10 = 0. Let p = 3.2 - 5.5. Let u = p + 2.6. Put u, 0.5, r in ascending order.\nAnswer: u, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/154 + ((-348)\/189 - -2).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let x be (-2)\/6*(8 - 3). Let q = -82 + 86. What is the third smallest value in x, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 70. Let k be o(-18). Suppose -2*f + 2*l + 8 = -2*l, -3*l - 12 = 0. Sort f, k, 3, -3 in ascending order.\nAnswer: f, -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r. Let g(b) be the second derivative of 0 + 1\/4*b**4 + 0*b**2 + 0*b**3 + 19*b. Calculate g(q(y)).\nAnswer: 363*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1300) - sqrt(52))\/(sqrt(144) + -4*sqrt(144)).\nAnswer: -19*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 11*l**2 + 9*l - 97. Let c be u(11). Let w(q) be the second derivative of -4\/3*q**c + 0 - 9*q + 4\/9*q**3 - 1\/18*q**4. Solve w(a) = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 10*k. Let b be x(-10). Suppose b = -f + 4*u + 2112, -2*f - 2*u = -6*u - 4236. Let t be f\/15 - (-2)\/5. Round t to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-684)\/6061 + 2\/11 - (-19)\/145. Factor -x*f**3 + 25 + 3*f**2 - 15*f.\nAnswer: -(f - 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) 9\/5 (c) 0 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4049776387.99999974 - 4049776345. Let p = 43 - f. Round p to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6904, -7466, -8988, -11950, -16832, -24114, -34276, -47798?\nAnswer: -65160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - -1*sqrt(30))\/sqrt(10) + 5.\nAnswer: 2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255 is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-12))\/(2275\/6175).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107*f*q + 135*f + 667*q - 1 wrt f.\nAnswer: -107*q + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 6}. What is prob of sequence oool?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 48. Suppose 3*w + n = 5*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - 1. Let f = 12 + s. Suppose 5 = -5*r + 5*p, 7 = -2*p + 17. What is the second biggest value in r, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 38*z + 116. Let w be d(-35). Suppose 0 = -10*y + 19*y - 207. Solve w - y = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10584 divided by -189.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/93949, -0.03, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13)**30 assuming x is positive.\nAnswer: x**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 3*y**2 - 2*y. Calculate the least common multiple of s(-3) and (-11 + (-1582)\/(-98))\/((-1)\/(-7)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 2.837, 0.11, -13.3, -1\/6 in descending order.\nAnswer: 2.837, 0.11, -1\/6, -13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77158.\nAnswer: 2, 173, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*v - 329 = 60, -5*v - 796 = -2*c. Calculate the greatest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 2*o + 1338 = 0. Let y = 183 - o. Do -42 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485470253.\nAnswer: 683, 710791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(22)\/sqrt(2) + 1)**2 - (sqrt(44) + -5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 25 = -j, -2*m + 4*j + 10 = 3*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/5 (c) -25 (d) -4 (e) 2 (f) -60\/13 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355015609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76844 is divided by 24650.\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 131340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-15) + -2 + (-4)\/(-10). Suppose -243 = -w*b + 61. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 37468.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -24. Which is the closest to 8? (a) 3\/5 (b) n (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + sqrt(51)\/sqrt(3))*4.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2261603.\nAnswer: 5\/2261603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111391*b**2*r**2*u**2 + 621*b**2 - 36631*b*r**2*u - 14*b*u**2 + 3*u**2 wrt u?\nAnswer: 222782*b**2*r**2 - 28*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/4)*x**(-3)*((x**9*x)\/x*x)**30 assuming x is positive.\nAnswer: x**(1187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-39)*3\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -11*x - 125. Let n = -23 + x. Does 9 divide 1\/((n\/60)\/((-36)\/(-24)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0 - 3*i - 1 - 2*i**2 - 3*i**2 - i**3. Let m be ((-44)\/20 + 1)\/(76\/190). Calculate f(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 160 and -2843476?\nAnswer: 2843636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 32*v**2. Suppose -16 = -s - 3*l, -l - 27 = -4*s + 50. Let d = s + -10. Calculate the remainder when m(-1) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (36 - 8) + -13 + -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1804)\/(-11)*(-2)\/(-4). Let b = x + -79. Let g(c) = -2*c**2 + 3*c - 1. What is g(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*o + 52*o + 15 = 0. What is the greatest common factor of o and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40700 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 2*i = -12*t, 5*i = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23590489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/8)\/(3\/(-6)). Suppose -21 = -2*p + m*h, -2*p - 2*h - 3*h + 29 = 0. Suppose -p*i = -10*i. Which is bigger: -1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l - 56. Let r = l + -5. Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49494.\nAnswer: 2, 3, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:12 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 620*b + 1423 with respect to b.\nAnswer: 620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - a**2 + 3 + 9 + 0*a**2 to the form m*a + r*a**2 + n and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**8\/6720 - a**7\/630 + a**6\/180 - a**4\/3 - 7*a. Let b(r) be the third derivative of i(r). What is b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -266342630 to the nearest 1000000.\nAnswer: -266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55786 a multiple of 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3 + 56*c + 0 - 6*c - 1. What is the tens digit of p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - b - 6, 131*b = -5*w + 118*b + 3 + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r - 109*r + 18*r as u*r + x and give u.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -81.8. Let n = s + -0.2000094. Round n to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + -11. Let v = r + 23.2. What is the nearest to -2\/5 in v, 4\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1921, 1929, 1927, 1915, 1893, 1861, 1819?\nAnswer: 1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3643 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 3*k**2 + k**2 + (0 + 0 - k)*(-5*k + 16132 + 3*k - 16089))*(-3*k - k + 1 + 3*k).\nAnswer: -4*k**3 + 47*k**2 - 43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 45 + 10 = 0. Let y = 3 + k. Calculate the smallest common multiple of y and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p. Let u(f) = 17*f - 2. Let l(s) = -67*s + 9. Let q(k) = -2*l(k) - 9*u(k). What is j(q(r))?\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1885 divide 240248284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 69, 211, 471, 885, 1489, 2319, 3411?\nAnswer: 4801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -980 - -1717. Suppose -3*l = 2*d - 539, 0 = -4*l + d - 0*d + v. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -712*k. Let c(s) = -215*s. Calculate c(t(f)).\nAnswer: 153080*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.5136 millilitres in litres?\nAnswer: 0.8745136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8)\/((-15)\/(-60)). Sort m, 5.9, 0 in descending order.\nAnswer: 5.9, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57a + 2089?\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l - l**2 - l + 5*l. Let d be i(10). Let j = 2.084 - 2.384. What is the third smallest value in 4, j, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474308 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19)\/(456\/32))\/6. What is the closest to 0 in -1, m, -168?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6722 + 140264?\nAnswer: 131342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*m**2 + 8*m - 25*m**2 + 44*m**2 in the form n*m + f + r*m**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19144 rounded to 3 dps?\nAnswer: 0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*a + 290. Suppose 0 = 4*t - 15*t + a. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**(-4)\/(i*i**(2\/5))**(2\/69)*(i**(-1)\/i)**(-28)*(i*i*i**(-3\/2)*i)\/(i**(-1\/4)\/i*i) assuming i is positive.\nAnswer: i**(76879\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-118)\/(-6) + 7\/21. Let m(h) = -h**2 - 5*h - 4. Let k be m(-4). Let s(n) = -n**2. Let i be s(k). Solve i = -2*y + 6*y - w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6*(10 - -2). Let a(x) = -x**2 + 9*x - 2. Is a(j) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 681682085 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 47 - 57 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33469959, 66939928, 100409897, 133879866, 167349835?\n\"Answer: 33469969*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -15. Suppose 2 = -5*p + 2*s + 27, 4*s + t = 3*p. What is the highest common divisor of 45 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 4*z**2 - 1. Let t(c) be the third derivative of -c**6\/120 + c**3\/6 + c**2. Let o(h) = n(h) + t(h). Find the third derivative of o(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 1 - 6*u - 8*u + 17 + 10*u. Is 5 a factor of v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 19*m**3 - 1841*m**2 - 11*m - 7. Let p(a) = 6*a**3 - 617*a**2 - 3*a - 2. Calculate -2*k(l) + 7*p(l).\nAnswer: 4*l**3 - 637*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1520337, -1520330, -1520303, -1520250, -1520165, -1520042, -1519875, -1519658?\nAnswer: -1519385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/k**(-4)*k)*k*k)*k**(-3\/4)\/k*(k*(((k*k\/(k**(-2\/7)*k*k))\/k)\/k)\/k)**(4\/31))**33)**(-3\/22) assuming k is positive.\nAnswer: k**(-15849\/1736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*q = 36, 4*u - 24 = -5032*q + 5031*q. Factor -2\/3 + 29\/6*b**2 - 23\/6*b**3 - 2\/3*b - 5\/6*b**u + 7\/6*b**5.\nAnswer: (b - 1)**3*(b + 2)*(7*b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -77. Suppose 0 = -5*v + 5, 6*v - 3*v = 2*z - 165. Let x = d + z. Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -354 (b) -2 (c) 10\/19 (d) -36 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -6*r - 0*r. What is the highest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -3\/4, 18, -1\/4, 0.3, -71?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 61*f**2 + 5*f - 56. Determine n(-30).\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22199?\nAnswer: 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306262?\nAnswer: 2, 11, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.301 + -17228460\nAnswer: -17228462.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (1 + -2 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63.35 - -22.6. Let v = 45 + n. Let w = -4.3 + v. Is 0.2 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.2 (c) 6\/17 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 11*i. Let f be p(-11). Suppose -j - 2*j + 6 = 4*l, f = 3*l - 3*j - 15. Is 4*26\/l*3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 340\/(-105) - 2\/7*1 and 58\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113538450526+-3\nAnswer: -113538450529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/5)\/(-1))\/(12\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 7079553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 851770108 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2463.3 + -2343. Let m = u + -120. Which is the fourth smallest value? (a) m (b) -4 (c) 1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778040 is divided by 271?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 22, -11, -66, -149, -266, -423?\n\"Answer: -h**3 - 2*h**2 - 4*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxnk when four letters picked without replacement from {z: 3, d: 2, x: 1, k: 1, n: 4}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 8:11 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 + 147580*o**3 + 7523112*o**2 + 127873252*o + 724559414 = 0. Calculate o.\nAnswer: -73739, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, n: 9}. Give prob of sequence nw.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*j + 157536, -36*m + 3*j = -31*m - 393850. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/285 and 107\/3222.\nAnswer: 306090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -8.1127738586.\nAnswer: -8.2127738586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 28 + 53 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, w: 2, v: 2, o: 2, c: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - (26 - -3)) + 1*9869?\nAnswer: 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 579.12362 to the nearest 10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) + sqrt(55))*-6)\/(sqrt(5) + sqrt(5) + (sqrt(20) - sqrt(60)\/sqrt(3))\/sqrt(4)) + -4*(sqrt(22)\/sqrt(2)*6 + 2))**2 + 1.\nAnswer: 528*sqrt(11) + 12044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = -4*f - 2, -5*p = -3*f - 16. Let d be ((-5)\/p)\/(2\/(-752)). Suppose h + 3*h = d. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -112\/487 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x. Suppose -2*d - 5 = -7*d. Let z(p) = -3*p**2 + 11*p + 20. Let j(c) = d*z(c) + 4*u(c). What is the tens digit of j(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2 - 6*d + 6. Let t be g(6). Let f be 66\/(-15) + 27\/(-45). Let n be f*(-3)\/15*6. Is t less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -3*u**2 + 13*u + 106. Let r(c) = -25*c + 57. Let t(b) = -9*l(b) + 2*r(b). Determine t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1928 + 1937. Let f(a) = 3*a**2 + 6*a + 21. Let n be f(-6). What is the greatest common factor of w and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xom when three letters picked without replacement from mnmjjxumxomxnx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 13 = -1474*h + 1477*h, 2*u = -h + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10303 - -1303323?\nAnswer: 1233020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 693587 + 0.37\nAnswer: 693587.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289*p**3\/2 - 5797*p**2 - 1361*p\/2 - 20.\nAnswer: -(p + 40)*(17*p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396 != 2300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-1)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2552658 is divided by 255261.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*t - j, 3*j - 5 = -5*t - 0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 4093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*x - x, x = -4*s - 199. Let i be 2\/(-9) - s\/(-63). Which is the second biggest value? (a) i (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407372 + 407324 + 5*x**3 - x**3.\nAnswer: 4*x**3 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4590)\/(-12))\/45*2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/41)*i)**(3\/4) assuming i is positive.\nAnswer: i**(117\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 12:15 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 15, g: 3}. Give prob of picking 3 n.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**2 + k - 1. Let t be o(1). What is the common denominator of 5\/2 and (-2)\/t + (-183)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 375*p - 370*p - 44, 2*o = -5*p + 8 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000679100503 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sassasssss. What is prob of picking 2 s?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/320 and -121\/7520.\nAnswer: 15040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 12) to base 9.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 23 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-42))\/((-84)\/196).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, 94, 10 in increasing order.\nAnswer: -23, 2, 10, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 272 in descending order.\nAnswer: 272, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 340 + 1193. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49*o - 382*o + 68*o)*(-3 + 6 - 2 + 2*o**3) to the form p*o + w*o**3 + m*o**2 + u*o**4 + q and give p.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206804.41 - 218152.9393. Let g = z - -11348. Let h = 0.54 + g. Round h to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -29 + 18 - (-318)\/24. Let z(w) be the first derivative of 13 + 0*w**2 + 0*w**3 + q*w**4 - 5*w. What is the first derivative of z(n) wrt n?\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 159 = 19*l + 45 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 5. Let f be v(-4). Let s(j) be the second derivative of 1\/4*j**4 - 2*j - 1\/20*j**5 + 0 + 0*j**2 + 1\/3*j**3. What is s(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -131*n - 23. Let i(x) = -112*x - 21. Let s(z) = -7*i(z) + 6*j(z). Let p(t) = -t**3 - t**2 + t - 5. Let b be p(0). Let f be s(b). Is 18 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 39 + 33 + 26 = 0, 6 = u - 2*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 13 = 5, -4*y = -3*n - 1. Is 2 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 - 6*q**5 + 2*q**5 + (q**3 - q**3 - q**3)*(0*q - q**2 + 0*q) + 3 - 2*q**5 - 3 + (-q - 3*q + 2*q)*(-q**4 + 5*q**4 - 3*q**4) - q**2 + q**2 - 2*q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/14 + (-7)\/(-14). Suppose -5*c + 7 - 9 = y, y - 26 = l*c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.126458*-1\nAnswer: -0.126458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1062?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3. Let u(r) = 2 - r + 0 + 0 - 3. Let s(c) = c. Let v = -13 + 8. Let a(t) = v*u(t) - 6*s(t). Determine 3*a(l) - 5*x(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6328321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 56*b = -132 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3540)\/(-2065))\/(9*(-57)\/(-126))?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 238 - 174. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 1. Let p be d(-2). Let w be 1\/(3\/p*-1). Suppose -15 = -w*l - 3*y - 0*y, 0 = 5*l + y - 13. Solve -l*s - s = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11060206 is divided by 5530074?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. What is the second derivative of 0*r**3 + a*r**3 + 2*r + r**4 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-165) - 12\/66) + (-167)\/429\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/3))**(-2\/21)*(s\/((s\/(s\/(s\/(s*s*s*s**(-2\/29)\/s*s))))\/s))\/(s\/(s*s**(-2\/3)\/s)))\/((s**2*s)**9\/((s\/s**7)\/s**(-6))) assuming s is positive.\nAnswer: s**(-45482\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 8 = 4*j + 3*x, -3*x = 2*j + 5. Solve 12*f - 14 = j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-132) + (18\/(-3))\/(-36)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18164\/2835 - 4\/567. Let t be (9\/(-6) - -2)*48. What is the common denominator of 9\/t*108\/(-5) and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y = 32*y + 421100. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.38338 to one decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 divided by -1350?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 1386 = -0*r. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 1:39 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 186*v + 7. Let h(q) = -365*q - 13. Let n(t) = 4*h(t) + 7*o(t). Let j(u) = -3*u. Give n(j(x)).\nAnswer: 474*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3875 is divided by 647.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2636, 2749, 3042, 3605, 4528, 5901?\n\"Answer: 15*z**3 + 8*z + 2613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1.5163, 4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6053?\nAnswer: 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k - p - 13 = 0, -13 = -k + 4*p. Suppose 0 = 5*x + n - 1, -4*n = -5*x + 25 - 4. Let o(i) = -i - 3. Let b be o(x). Is b smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000958226357 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(1\/5)\/(w\/w**(2\/9)*w*w*w*w\/w**(5\/3)*w)*w**(-3\/5)*w**1*w*(w\/(w\/(w*w*w**(2\/5)*w)))**48 assuming w is positive.\nAnswer: w**(1448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*(-3*a + 4*a - 3*a)*(-977*a - 450*a - 1042*a) to h*a**2 + o + i*a and give h.\nAnswer: -4938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6242992457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -10, -88, 2 in descending order.\nAnswer: 60, 2, -10, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28069.21, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -5327.4 and -39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let n(t) = -5145*t**2 - 4*t + 9. What is n(i(p))?\nAnswer: -5145*p**2 + 4*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10384 and 327568?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -361083, -722199, -1083315, -1444431, -1805547?\n\"Answer: -361116*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6521 is divided by 894.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166 - -318. Let f = 52 - d. Is -100 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90334994 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 27. Suppose -d*o - 11 = -8. What are the prime factors of 1\/(2*o\/(-62))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37149.365 rounded to the nearest one hundred?\nAnswer: 37100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.0983 - 0.0117. Let d = j + 0.11. Let g = 2 + 2. What is the closest to -0.1 in d, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 6. Let y = 1.40482 - 0.00482. Which is the second smallest value? (a) -0.1 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5 + 31373*g**4 - 9*g**3 + 76480020*g**2?\nAnswer: -180*g**2 + 752952*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1770, 1771, 1772?\nAnswer: 1773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gigiiiiiggggi. Give prob of picking 2 g and 1 i.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 8) to base 9.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {j: 5, x: 1, p: 1, z: 1, c: 7, y: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/20*-10*6\/(-75).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111912 by 6.\nAnswer: 18652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 27208?\nAnswer: 27208.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -96574.6097 rounded to the nearest one hundred?\nAnswer: -96600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 0*c**3 - 5*c**2 + 7 - c + c**3 + 2*c. Calculate the least common multiple of 4 and h(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52, -40, -28, -22, -28, -52?\n\"Answer: -h**3 + 6*h**2 + h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 3*o - 3. Suppose -4*v - 8 - 24 = 0. Let k(p) = -p**2 - p + 1. Calculate v*k(i) - 3*g(i).\nAnswer: -i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Let s(d) = -11731*d. What is s(k(z))?\nAnswer: 23462*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 3.03. Let s = u + 0. Sort -2\/5, -2\/25, s in descending order.\nAnswer: s, -2\/25, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1457 and 61287?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(612)*-4 + sqrt(612)*1 + 1 + 3)*5*-2)**2.\nAnswer: 691200*sqrt(17) + 79340800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32123796 is divided by 73342.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104 + w**3 + 103 - 4*w**4 + 0*w**3 + 5*w**3 - 13*w**2 - w - 10*w**3 to v*w + g*w**2 + r*w**4 + l*w**3 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**5 + m**4 - m**2 + m. Let b(h) = 27*h**5 + 7*h**4 - 7*h**2 - h. Let y(k) = b(k) - 6*j(k). What is the third derivative of y(d) wrt d?\nAnswer: 1980*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:07 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 728 * -0.047\nAnswer: -34.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1*sqrt(425) - sqrt(425))*2 + sqrt(425))*6)**2.\nAnswer: 382500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 5\/1574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:41 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -91\/4. Let l = 162 + -165. Let g = -6.5 + 7. What is the closest to t in l, -2\/17, g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 146\/50 - (-5 + 8). Let d = l - -429\/50. Let q = -211\/78 - -241\/13. What is the common denominator of d and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 5*d + 1. Let j(f) = -f**2 - 2*f. What is -5*j(x) + 2*l(x)?\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:15 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 11:19 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-9)\/(-6) + -2. Factor 0 - p*s + s**2 - 1\/2*s**3.\nAnswer: -s*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/12 - w**3\/6 - 24*w**2. Let v be 8\/2 - (1 + 1). Let u(t) = t + 1. What is v*s(m) + 2*u(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 43. Suppose 0 = 3*m - q*k + 3*k + 11, -4*k - 4 = 2*m. Let b be (-141)\/m + 5\/(-20). Solve -3*g = 5*a + g - b, -a - 4*g = -23 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -169.12 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -76 and 0.17381.\nAnswer: -75.82619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-4.6651205.\nAnswer: 0.46651205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 20, 5*g - 2*a - 8 = g. Suppose -4 = 4*y, s + g*y - 2*y - 20 = 0. Suppose 5*c - s = 2*c. List 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 cube root of 302546 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3) - (-2 - -8 - -3). Let g be 2\/o - 36\/(-16). Let q(h) = h**2 + 11*h - 7. Let f be q(-12). Solve 0 = f*b + 4*z - g*z - 25, 4*z = -b + 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - j. Let k(w) be the third derivative of w**6\/120 - 11*w**5\/60 + w**4\/6 + w**3\/6 - 3*w**2. Determine -2*k(y) - 11*r(y).\nAnswer: -2*y**3 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18 = 3*q + 34, 3*c + 5*q = 100. Suppose -c*h + 32*h = -128. Calculate the remainder when 24 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -8. Let v be (-78)\/(-8) + c\/(-20). Suppose -4*g = -5*u + 22 - 2, 0 = 2*g - v. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((650\/143)\/5)\/(1\/(-11)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24313 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 22 - 62. Solve 3 = 3*x + 5*w - v*w, 2*x - 2*w - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 15 = 9*i. Let k(h) = 3*h**2 - 268*h + 1085. Let c be k(85). Put -4, c, i, -5 in descending order.\nAnswer: i, -4, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 203*r**3\/2 - 73*r**2 - 3*r - 17. What is the first derivative of l(q) wrt q?\nAnswer: 609","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l + l - 2*l - l + 3*l + 0*l + (0*l - l + 0*l)*(4 - 4 - 1) + l - 1 + 1 in the form v*l + f and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -20\/3, 0, 15, 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 11 = 38. Suppose 2*v + 32 = 4*v. Let u = v + -4. Solve o + t = 4*o, 3*c = -o - u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 362 times 0.1\nAnswer: 36.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (7280\/14)\/26\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*b + 5*w, -2*b = -4*w + 21 - 3. Sort 4, 21, b, 35.\nAnswer: b, 4, 21, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 73.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2210*l**4 + 2*l**3 - 33152*l**2.\nAnswer: -53040*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -28, -58, -98, -148, -208, -278?\n\"Answer: -5*b**2 - 5*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1426863 * -0.01\nAnswer: 14268.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380 and 52.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -99. Suppose -4*a = -3*n + c, 2*a - 6*a = n + 15. Suppose -10*t + 3*o = -5*t - 5275, n*t - o - 5275 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*m - 24 = 0, -3*p + 5*m = -p - 24. Let n be -6*(4 + (-28)\/p). What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3471*t**4 - t**3 - 8*t + t**2 + 3 + 3*t**3 + 3469*t**4 as g + x*t**3 + k*t**4 + a*t**2 + h*t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6274174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1101000101100111 (base 2) to base 5\nAnswer: -3203412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(2*n - 99*n - 26*n) to the form b + c*n and give c.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 33 - 10 - 15 + 604*s in the form o*s + f and give o.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*i + 116, -3*x + 92 = 4*i - x. Let q = -2 - -16. Calculate the least common multiple of i and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119659127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {s: 2, i: 1, h: 4, v: 2, x: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113389409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:50 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*l + 0*l = -1, 5*j + l = 14. Suppose 0 = n + v + 2, -6 + 0 = -j*n + 3*v. Solve 5*i + n*i + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or -211646?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**3 - 27*l**2 - 5*l + 22. Let n be w(4). What is the highest common divisor of 196 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 - a + 3. Calculate s(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/6 of a millennium?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87074 * 0.3.\nAnswer: 26122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 22*u**4 + 2644*u**3\/3 - 2083. What is the third derivative of j(v) wrt v?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913436531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/4, 30, 0, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11349558901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/14)\/((-3)\/4). Let o be x\/13 - 123\/39. What is the common denominator of (-158)\/(-40) - o\/(-2) and 71\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4122.78 + -4213. Let p = o - -91.21952. Let u = 1 - p. Round u to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 + -1282.4125?\nAnswer: -1281.6125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(4\/11))\/(b*b**6) assuming b is positive.\nAnswer: b**(-70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 + 10*o**3\/7 - 6*o**2\/7 - 26*o\/7 + 20\/7.\nAnswer: 2*(o - 1)**2*(o + 2)*(o + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 times 0.1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 + -0.13. Let z = d + 0.362. Let u = -0.042004 + z. What is u rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8439*b**2 + 4217*b**2 + 0*b + 183 + 0*b + 4217*b**2.\nAnswer: -5*b**2 + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1820009*n + 67340327. Give p(37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.0775801.\nAnswer: 0.1551602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 13, -0.5, -0.1, -2\/183, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 1*(-2)\/2. Suppose r + 4 = 2*r. Let d = m - r. Let t(w) = w - 5. What is t(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/70*4285 + -5. Which is smaller: 1708 or i?\nAnswer: 1708","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1346, -2668, -3970, -5246, -6490, -7696?\n\"Answer: y**3 + 4*y**2 - 1341*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3486\/(((-3)\/12)\/((-3)\/(-54))). Let b = 783 + c. Find the common denominator of -18\/13 and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(720))\/((sqrt(63)*2)\/sqrt(7) + sqrt(9)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 3*j**2 + 0*j**2)*(11*j + 5 - 1 - 12*j)*(0 + 2*j + 0).\nAnswer: 2*j**4 - 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 2*w**2 + 2*w**2)*(3 - 3 + 2*w) + (-2*w**3 + 2*w**3 + w**3)*(-3 + 1 - 1).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 + (-233)\/(-1398). What is the fifth biggest value in 1\/2, -0.1, z, -2\/15, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 2024.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 21*z - 127. What is d(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**4 - 4*w**4 + w**3 - 3*w**3 + w as j*w**3 + l*w**4 + s*w**2 + x*w + d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 + -3) - -4. Let y(s) = -s + 14. Let f be y(8). Let h be 49 - (13 - (-50 + 40)). Solve h - f = j*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5185884 and -0.06.\nAnswer: 5185883.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 11. Give z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -33418*m**2 - 300760*m + 25. What is f(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-3 + 10 - 4) + -5. Let y be a - (0 - (0 + 2)). Is (-9148)\/(-12)*(3 + y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4494295 - -34.77.\nAnswer: -4494260.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8611.07nm to kilometers.\nAnswer: 0.00000000861107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = u, 5*f - 8 = -0*u + 4*u. Let c(n) = -2*n + 3. What is the remainder when 12 is divided by c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89738154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*k - 24, 0 = -2*j + 1780*k - 1776*k - 2 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1968 and 74661.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 16095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*d = -i - 10, 5 = 3*i + d. Suppose 0 = -5*r - i*r + 50. Let h = 53 + -25. Calculate the remainder when h is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 2 + 2 - 9)*((7125 - 7125 - 118*x)*(1 - 2 - 1) + 1 - 1 + x).\nAnswer: -7821*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64674\/(-9288) - 14\/(-301) and (-2)\/(-2)*116\/(-60).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 - 8985. Let g(a) = -732*a**2. Determine v(g(t)).\nAnswer: -1607472*t**4 - 8985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + 3.6. Sort -4, -5, z.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 4*n**2 + 2*n + 3. Let g = -43 - -37. Let t be u(g). Suppose -2*h + t = h. List the prime factors of h.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 29. Let g be j(-8). What is the second derivative of 9*q**5 - q**4 - 40*q + q**4 + g*q**5 wrt q?\nAnswer: 440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 4. Let i be 0 - (-2 + 1) - -4. Let o be d(i). Suppose -o = g - 3. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-42) - 2327982\/(-42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - -52. Suppose -4*r = -172 - i. Let a = r - 3. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-21) + 258676\/462. Suppose 2*m + 10*r = 9*r + 233, -2*r = -5*m + j. Which is smaller: m or 571\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.4, 0.2, -27 in increasing order.\nAnswer: -27, 0.2, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g*k**3*p**3 + 8*g*k**3*p - 20*g*k**2*p - k**2*p**3 - 2*k**2*p**2 - 2*k**2*p wrt k?\nAnswer: 30*g*p**3 + 48*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145900 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 116856846 * 0.1\nAnswer: 11685684.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-632 - -615) + (-2 + 9 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2257312098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**3 + 11*z**2 + 5*z + 11. Let f(t) = -5*t**3 - 4*t**2 - 2*t - 4. Let k be (-3)\/1 - (4 - 3). Let l = 93 + -104. Give k*x(h) + l*f(h).\nAnswer: -h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26109 + 26113. Let p(n) = 19*n**2 - 1. Let g(v) = 39*v**2 - 2. Determine m*g(a) - 10*p(a).\nAnswer: -34*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16835, 3\/4, 1\/3, -45, -0.5 in increasing order.\nAnswer: -16835, -45, -0.5, 1\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -442*z**2 - 446*z**2 + 883*z**2 + 17 as o*z + k*z**2 + p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 449 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = 0. Suppose -c = -m*c - 6. Calculate the smallest common multiple of 10 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -4, -2\/9, -3, 41?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -51. Let m(f) = -f**2 - 1 - f - 352966*f**d + 352968*f**3 - f. Calculate m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30060 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - y - 8. Let o be c(3). What are the prime factors of (-1454)\/(-8) + o - 2\/(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 8. Let o(v) = 4*v - 41. Let a(l) = 2*o(l) + 11*r(l). Let k = -13 - -17. Let t(f) = 2*f - 5. Determine k*a(m) + 5*t(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 164 + 813 = 4*n, 0 = -w - 3*n - 317. Let k = -34 - w. Calculate the remainder when k is divided by 76.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*x**3 + 56 + 14*x - 14*x + 21*x**2 - 23*x**2 as h*x + k*x**3 + q*x**2 + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(95)*-3)\/sqrt(5))**2*2 + (sqrt(95)\/(sqrt(5)*-3) - (1*sqrt(19))**2*5).\nAnswer: -sqrt(19)\/3 + 1273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1423283, -1423281, -1423279, -1423277?\nAnswer: -1423275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-15)*(8\/220)\/((-2)\/22).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven tenths of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393000 divided by -98250.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**6 - g**5*v + 5*g**3 + 4*g**2*v - 8*g - v wrt g?\nAnswer: -600*g**3 - 60*g**2*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 177? (a) 4 (b) -3 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000503159 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12694 by -6.\nAnswer: 6347\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 0*y)*(2*y**3 + 0*y + 0*y) + (-2*y**2 - 2*y**2 + 3*y**2)*(3*y**2 - 5*y**2 + y**2) + y**4 + 2*y**4 - 2*y**4.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653010657?\nAnswer: 17, 139, 699539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.2877 centuries to decades.\nAnswer: 6502.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**4 + 4017709*t**3 + 64466921*t**2 wrt t.\nAnswer: 48*t + 24106254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - 114\/(-234). What is the closest to 0 in c, -1, 23, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(25)\/sqrt(5)*-3) - (((sqrt(72)*4*-1 - sqrt(72)) + sqrt(72))**2 - sqrt(72)))*-3.\nAnswer: -17*sqrt(2) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -264*l - 31*l - 247*l + (-2 + 0 + 1)*(-4*l + 4*l + 2*l) to c + x*l and give x.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6835.271 grams to milligrams.\nAnswer: 6835271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -615086?\nAnswer: 615101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1162.3 - 1162. Let l = -65\/12 - -21\/4. Which is the closest to -0.1? (a) y (b) -6 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(176) - (sqrt(1331) + 1) - (4 + (sqrt(396) + (sqrt(396) - (1 + sqrt(396)))*-6 + sqrt(396) - sqrt(396)))))**2.\nAnswer: 286*sqrt(11) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -419208.\nAnswer: -838416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose 60 = -23*v + 43*v. Suppose o = v*d - 66 - 3. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 2 b when four letters picked without replacement from uhbxdtthduhbdbbduuh?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 - -85. Let m = n - -248. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*v - 6 = -1, 4*m + 3 = 3*v. Suppose m = -3*c + 10 - 4. Suppose -3 = -c*p + 5*p. Is p greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9110069 grams to kilograms.\nAnswer: 0.0009110069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19408907753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -353*u**2 + 176*u**2 + 179*u**2 - u**3 - 291*u**4 + 0*u**3 + 2*u as t*u**4 + q*u + w*u**2 + i + n*u**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2. Suppose 2 = n + 6. Let k be (-51)\/(-9) - n\/(-6). Suppose -5 = -0*v + k*v. Calculate z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Let g(t) = -19*t + 37. What is u(g(a))?\nAnswer: 38*a - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 56433.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*t - 1\/5*t**2 - 306\/5.\nAnswer: -(t + 17)*(t + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 8:10 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*i - 6*i + 16, -5*g + 19 = -3*i. Suppose -i*h + 6 = -0*h. Is h >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + -4 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 18. Suppose -17 = -f*a - 5. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 1569\/(-105))*(-196)\/140 - 14?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*c - 35 = 2, -5*b + 143 = 4*c. Suppose -23 - b = -3*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1894758, 1894757, 1894756?\n\"Answer: -d + 1894759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 2*q**2 - q + 3. Let x(v) = -v**3 + v**2 + 1. Let l(c) = -j(c) + 2*x(c). Let n be l(4). Solve -n*t - 4 = 2*b, 3*b - 1 = 4*b + t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**2 - 2 + 0*p**4 + 0*p - 3\/5*p**5 + 0*p**3. Find the second derivative of y(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7244*i + 7253*i + 45 = 0. Sort -62, -4, i in descending order.\nAnswer: -4, i, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucuuhhhhhuvhrhr. Give prob of sequence ch.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*d + 3, 0 = -5*c - 4*d + 7. Let i be c\/(-2 - -1)*-1. Let z(f) = 5*f**2 - 2*f - 1. Let k be z(i). Which is smaller: 5 or k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11099279, 22198555, 33297831, 44397107, 55496383, 66595659?\nAnswer: 77694935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/54 + 52\/(-9). Let i be 0 - 0 - (2 + x). Sort 14, 1, i in increasing order.\nAnswer: 1, i, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37717651, 150870606, 339458871, 603482452, 942941355?\n\"Answer: x**3 + 37717649*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55199 + 11?\nAnswer: 551aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127265492?\nAnswer: 2, 31816373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/39, 171, 6, 1\/3, 1\/5.\nAnswer: 1\/5, 1\/3, 20\/39, 6, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5f7 (base 16) to base 14\nAnswer: 7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31886623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 79?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + 2*x**2 - x. Suppose d + 14 = 5*f, -f - 4 = -d - 2*f. Let g be z(d). Calculate the greatest common factor of 32 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2*((-5)\/20 - (-28)\/(-16)). Let u(t) = -2*t**2 + 5*t - 2. Give u(p).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + -60. Let c be (3 + j\/20)*-20. What is the common denominator of 65\/3 and (3\/c)\/((-1735)\/890 - -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p**2*u + 3*p**2 + u**4 - 35 with respect to u.\nAnswer: 4*p**2 + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*d**2 - 21327*d + 21331*d + 184*d**2.\nAnswer: 380*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10613 - 5356. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 2. Suppose 5*f - 5*d - 5 = 0, -d + 17 = 7*f - 2*f. Let y be p(f). Let r = -6 + 8. Calculate the greatest common factor of r and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2035 - -2077. What is the greatest common divisor of 1554 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-72)*(-428)\/(-3210)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.004 - 0.004. Let a = c + -57. Let f = a + 19. What is the third biggest value in 0.7, f, 2\/21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/3)*p)\/p)**20\/(p**(-13)*p\/p**1*p))**(-20) assuming p is positive.\nAnswer: p**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 15. Let d = p - -15. Let q = d + 2. Which is the third smallest value? (a) 1\/9 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47052590 divided by -3619430?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(-4 - 57\/(-12)). Let o(q) = -11*q**2 + 2*q**3 + 3 + 3*q + 10*q**2 + 3*q**c. Suppose 0 = -n + g - 1, 3*n - 2*g = 2*g - 2. Calculate o(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 12:45 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/160 and -49\/48.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 782, 1721, 2994, 4769, 7214?\nAnswer: 10497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.413 and 0.5?\nAnswer: 2.2065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 - 7*r**2 + 3*r**2)*(5*r - 10*r - r**2 + 13*r) in the form c*r**2 + w + j*r**3 + k*r + t*r**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 2*u**4 + 2*u**4 + (-9*u**3 + 38*u**3 + 28*u**3)*(-2 + 2 - 3*u)*(-4 + 0 - 1).\nAnswer: 853*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2)*16\/(-6). Suppose 0 = 12*y - z*y - 1664. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.6476358 rounded to zero dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -55. Suppose 0 = -5*i + 3*w + 13, -3*i + 4*w + 3 = z. Solve 0*v = i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1035584656 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 1*(3 - (-1 + 4)). Solve i = -r*m + 2*i - 12, -3*i = -6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.67 * 0.004.\nAnswer: 0.00268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 51*s + 3. Suppose -d + 5 = n, 3*d - d - 7 = n. What is the tens digit of f(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031 rounded to the nearest ten?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 30994*o - 30996.\nAnswer: 2*(o - 15498)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329927563*s - 258019796 wrt s.\nAnswer: 329927563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0 (c) -5 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, 1 m, and 1 x when four letters picked without replacement from {m: 3, a: 7, j: 3, x: 2}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 26*p**2. Let o(r) be the first derivative of r**5\/60 - 5*r**3\/3 - 7. Let q(w) be the third derivative of o(w). Give c(q(g)).\nAnswer: 104*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (78\/65)\/((-4)\/(-10)). Suppose -d*s + 16 = s. Solve -s*o - o = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 - 2*h + 1. Let o(c) = 9*c**2 + 2*c - 1. Calculate -3*n(u) - 2*o(u).\nAnswer: 3*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 479763.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -944000 rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -25*h**4\/4 + h**3\/3 + h**2\/2 + 87*h - 125. What is the second derivative of a(m) wrt m?\nAnswer: -150*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + 0 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) - sqrt(24)\/sqrt(3)) + sqrt(24)\/(sqrt(12) - -2*sqrt(12)))*2)**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -69*h**3 - 1864*h**2 - 12*h + 82. What is c(-27)?\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:39 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - 665. Let z(c) = 81*c**2 + 812*c + 152. Let k be z(-10). Is g at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 146 + 6*t**3 + 4*t**3 - 2*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21*-21)\/((-5)\/(25\/(-10))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 274 - 272 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/15*2\/4*1. Which is the fourth biggest value? (a) g (b) 1\/2 (c) 4 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 + 408. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*z + 10*z - 52*z + 61 wrt z.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.039, 5, -1\/131?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 16*k**2 - 11*k. Let s(b) = b**2 + 16*b - 6. Let q be s(-17). Let u = q + -8. Let g(i) = -12*i - 11*i + 25*i - u*i**2. Determine 4*f(v) + 22*g(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) -0.4 (b) -17\/2 (c) 0.08 (d) 0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328851478.\nAnswer: 2, 17, 71, 32381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 4 (b) -0.05938591 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.91. Let w = l + 0.2. Let p = w + -0.109986. Round p to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 - 14 + 3)*(r - 6*r + 3*r) to the form c + l*r and give l.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -14925.6321 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 749\/3? (a) -2\/15 (b) -5 (c) 0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 7:27 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 112118262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + w**4 + w**4)*(-14 - 19 - 1)*(-58*w - 3*w + 4*w)*(3 + 1 - 6).\nAnswer: 3876*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 1. Let z(h) = -4*h**2 - h - 2. Let s(f) = -2*f + 1. Let u be s(0). Suppose -n = 2*l - u, 2*l - l = 4*n - 4. What is n*z(b) - 2*p(b)?\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109332\/5 - 21866. Sort -4, -2, r, 14 in decreasing order.\nAnswer: 14, r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3)*i)\/((i*i**(-1\/9))\/i))\/(i*i**(-3\/7)*i*i**(-16)) assuming i is positive.\nAnswer: i**(1231\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/8 + 1\/(-2) - -78. Suppose 19*h - 9*h = y. Solve -5*o = -5*l, h*o + 24 = 3*o - 3*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -31, 29, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1112, 2229, 3356, 4499, 5664, 6857, 8084?\n\"Answer: y**3 - y**2 + 1113*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/3)\/(60\/(-90)*(2 - 1)). Let t(k) = -k**3 + 7*k**2 - k - 13. Determine t(i).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -25*s**8\/21 + 37*s**5\/20 - s**3\/2 - 182*s**2 - 2. What is the third derivative of q(a) wrt a?\nAnswer: -24000*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u + 2. Suppose 4*z = -0*z - 64. Let j be (-2)\/z - 3\/(-12). Which is greater: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 0 - 32*s - 4\/3*s**2 = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0.5, -2\/19, -1\/3, 17?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 15103.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64296573, 128593151, 192889731, 257186313, 321482897, 385779483?\nAnswer: 450076071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -67. Let f = d + 23. Which is the second smallest value? (a) -0.5 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 114022?\nAnswer: 114031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Suppose t = -4, 2 = d + t + o. Suppose 0 = -3*a - d*n + 10, 5*a + 1 = 4*n + 3. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5977 - -6456.4. Let m = 402 - q. What is m rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:37 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r**3 - 8*r**3 - 1 - 9*r**3 + 95*r**3 - 20*r**3 + 4*r**3 - 3*r**3.\nAnswer: 28*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 288746590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/48 and 31\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40500942 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 3\/7 (c) 150 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Suppose 0*v + 6 = 3*v. Suppose 5*r + 4 = -x - 2, -3*x = v*r - 8. Is z not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -172 * 4.\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 10*i**2 - 9*i. Let p be v(-9). Suppose -q + 4*q - 4*n - 9 = p, 4*n = 0. Suppose -45 = q*h - 6*h. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 10. Suppose -29 = j*m + 11. Is (-514)\/(-14) - m\/28 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280*m + 1282*m = -5*w - 111, w = -3*m + 9*m + 253 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*h - 22, -5*k + 4*h + 13 = -11. Solve 2 - 10 = -k*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + (-2 - 2321\/4180). Let h = 150\/19 - q. Find the common denominator of h and -53\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/((-135)\/10 + 11)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/60)\/((-24)\/(-10))*-4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4 + 519\/12. Suppose 54 = 2*m + c. Solve 3*u = -2*t - 11, 2*t - 6*t + m*u - 11 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4565.676l to millilitres.\nAnswer: 4565676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 21. Suppose l = -17*w + 14*w + 417. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (sqrt(288) - (sqrt(288) + -5*(sqrt(288) + sqrt(288)*-2) + sqrt(288))))*-1)\/((sqrt(729) - (sqrt(729) + sqrt(729)*-1*-6))*3))**2.\nAnswer: 392\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.8 + -22. Let i = d - -0.2. Let l = 36 + -217\/6. What is the closest to 0.1 in i, l, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 9, -23, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4\/3, 0.1, -1, 0.3, -2721, 70?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 437*h - 437*h - 2*h**2 + 0*h**2 as c + g*h**2 + q*h and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**2 + 9*p**2 - 3*p**3 - 8*p**2 + 22*p**3 wrt p?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 12 = 38*s - 4*v, -2*v = -2*s + 6. Let y(p) = -9*p + 76. Let h be y(s). Solve m - h*u - 3 = -11, 0 = -m - 2*u - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**2. Let k(t) = -19*t + 14*t + 7*t. Determine w(k(q)).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(-2 + 0 + 4 - 3 + 1 + 4 + (4 - 3 + 0)*(-2 - 5 + 5) - 2 + 3 - 3 - 2 - 3 + 6)*(q**4 - 105*q + 105*q).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31393522 and 6.\nAnswer: 94180566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.577 to one decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 6*i**2 + 2*i - 5. Let w be a(5). Let q = 182 - w. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*f + 547 - 85 = 0, 86 = o + f. What is the smallest common multiple of 80 and o?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 19 = -7*b + 2*h, 4*b - 10 = -h. Suppose b*l = -3*y - 112 - 32, 5*l = 0. Let f be (y\/(-9))\/((-2)\/6). Round f to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/(18\/(-192)*-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321320003123 + 11?\nAnswer: -321320003112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + sqrt(14)\/(-2*sqrt(2)))**2.\nAnswer: 5*sqrt(7) + 95\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4656269\/1386 + 23514\/7. Let i = r + 3\/22. What is the second biggest value in -1\/4, i, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 21.1. Let s = -6.12 + 0.12. Which is the nearest to i? (a) 5 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*m - 82 = 0, 118 = 4*v - 4*m + 3*m. What is the remainder when 87 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -148 (c) 4\/3 (d) 30 (e) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 28*f**5 - 1796*f**4 + 36900*f**3 - 326012*f**2 + 1236160*f - 1478400 = 0.\nAnswer: 15\/7, 8, 11, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-432)\/(-504) + 68\/(-63). Which is the closest to y? (a) -0.2 (b) 3\/8 (c) 1\/6 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u. Suppose 0 = 13*z + 7 + 6. Let a(w) = -20*w**2 + 6*w + 6. Let m(k) = -2*k**2 + k + 1. Let p(f) = z*a(f) + 6*m(f). Give p(y(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27473468 a multiple of 557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -1038, -2\/7, 12701?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 12. Which is the biggest value? (a) -2 (b) -1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2, 4*c - 31 = 5*q - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/18 (b) -0.24952 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48054312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.17 - 0.17. Let s = -0.7 - -0.2. Which is the nearest to 1? (a) u (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 11) + (8 - 2) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192822 = -7*g + 105882. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:12 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 20*b**2 + 16*b - 12. Let m be z(-19). Let t = m - 40. Let s be 3\/((-1)\/((-4)\/(-3))). Sort 2, s, t.\nAnswer: s, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3830678965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-15)*-3*(-3)\/(-12)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4619098.69 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143)*-1 - sqrt(143) - sqrt(143))*4)\/(sqrt(275)*3) - (-4 + -1*(-1 + sqrt(637) + -1)))**2.\nAnswer: 124*sqrt(13)\/5 + 12593\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 308709, 617191, 925673, 1234155?\n\"Answer: 308482*q + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*z - 385 - 788. Solve z*h = -15*h - 228 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 <= 242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2442.4 - 1929.58. Let q = 518 - i. Let k = 6.4 - q. Round k to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4713, -4278, -3843, -3408, -2973, -2538?\n\"Answer: 435*h - 5148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 11:27 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*g - 96 = -83*g + 222*g - 80*g - 4*y, -3*y + 58 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p - 6. Let s be c(5). What is the highest common divisor of s and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49738 (base 12) in base 6?\nAnswer: 2044512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 7766.\nAnswer: -7766.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05794 - 6.03606. Round m to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530946375118 + -5.\nAnswer: 530946375113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 181*n**2 + 614*n + 11478. Give m(-184).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1*-11.\nAnswer: 34.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azaq when four letters picked without replacement from ajaazazaqzqzqza.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/630400?\nAnswer: -3\/630400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 495329536*s**2 + 623168*s + 196 = 0. Calculate s.\nAnswer: -7\/11128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 379 + -254. What is the remainder when q is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*b*t**2*v - 2*b + t**2*v**3 + 77*t**2*v**2 - 38*t*v**2 - 562*v**3 wrt t.\nAnswer: -166*b*v + 2*v**3 + 154*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l, 4*f = f + 4*l - 3. Which is the closest to -1\/6? (a) 4 (b) f (c) 0.2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127.632 - 9.968. What is g rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 2 - 3 - (-2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17179333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 + 35 = 0. Let n = h - 2. Suppose 2*w = -w + 66. What is the lowest common multiple of n and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/(-165))\/(12\/(-180))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 = -33. Let x(i) = -i**3 - 8*i**2 + 10*i + 12. Calculate the remainder when 7 is divided by x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69787 is divided by 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2)*(3 + -5). Let i = 8 - t. Suppose -m + m - 2*m**i - 2*m**3 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 374393722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1005\/(-11792))\/((-9)\/(-12)). Is s smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -128, -2\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -607 or -613?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59\/3 - 20. Let m be 9\/27 - 76\/(-6). Let l = -10 + m. What is the second biggest value in n, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-18)*((36\/(-9))\/(-8))\/(15\/(-18)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/28 and -4\/2357?\nAnswer: 65996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (539 - 538)*((-548595)\/(-3) + -2 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2233*b - 236 + 2228*b - 6696*b + 27 + 2232*b.\nAnswer: -3*b - 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**3 - 5*a**2 + 7*a + 11. Calculate r(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 6031469.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*b**2 + 42 - 12*b - 42 + 12*b + 219*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2\/3, -143, -3\/4, -5, 23, 8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5353*f - 1166*f + 446586 = -3016*f for f.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 2423*r - 2431*r. Put -4, r, -19 in increasing order.\nAnswer: -19, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 8*d + 44 = 0, 3*z - 427 + 440 = -5*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1384?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -1434?\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + 7 + o**2)*(1 + 0 - 2).\nAnswer: -o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*z**2 + 1)*(76 - 76 - 19*z) + (3 - z - 3)*(4*z**2 - z**2 - 2*z**2) + 4*z**3 - 3*z**3 - 2*z**3 in the form m*z + l*z**2 + h + a*z**3 and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + 781734.\nAnswer: 781733.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-5 - 4 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*q - 22, 3*n = 5*n + 3*q + 8. Suppose 182 - 62 = n*t. Suppose -t = -5*a - 20. What is the smallest common multiple of 13 and a?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*d = -16, 0 = -3*z - 0*z - 3*d - 18. Suppose -j = 4*o + 8, 13*j = -o + 9*j - 17. Which is the closest to 1? (a) z (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28074369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w**3 - 95*w**2 + 6*w - 216. Let b be h(12). Solve b = 21*k + 141 + 6 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-8))\/((-2)\/(-8)). Let r = -1 + s. Suppose 2*d = -5*u + r, -4*d - 5 = -3*u - 3*d. Let b(l) = -7*l**2 + 1. Give b(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 4. Suppose 8*c + 5*x + 20 = 3*c, c + r*x + 12 = 0. Let v be 20000\/(c - (-1)\/355). What is v rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4254 and 121\/188694678?\nAnswer: 188694678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 12*b - 16. Let x be c(-15). Suppose 2*w - x = -5*u, 0 = w - 5*u + 4*u + 3. Solve 2*k - 5 = h, -4*k = -3*k - w*h - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000612137 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.5 + -41.505. Round o to 4 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2. Let g be (-48)\/(-20) + (-2)\/5. Let z(l) = -l**2 - 2*l**2 + 4*l**g. Give h(z(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 10599*x\/8 + 23415\/4.\nAnswer: -3*(x + 446)*(8*x - 35)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 127, 397, 921, 1783, 3067, 4857, 7237?\n\"Answer: 14*i**3 + i**2 - i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27350 times 308?\nAnswer: 8423800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1287757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7611575 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1082 - -2016. Suppose 15*v - g = 13*v. Is v a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t, 7*y - 4*t = 4*y + 248. Let s = y + -69. What is the remainder when 74 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/145, -0.04, -3\/2, 4, -5 in increasing order.\nAnswer: -5, -3\/2, -0.04, -2\/145, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -902\/3 + 326. Find the common denominator of -61\/14 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 4 + 2)*((6 + 0 - 5)*(-2*u - u + 2*u) - 3 + 3 - u) - 2 + 2 + 2*u + (-8 + 64 - 12)*(1 - 1 - 13*u) to c*u + h and give c.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(3 - 365\/10). Which is greater: i or 66?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - i)*(-4 - 2 + 2 - 4 + 1 + 2 + (2 + 0 + 0)*(-2 + 3 + 0) + 50 - 26 + 35).\nAnswer: -56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92151, -184291, -276423, -368547?\n\"Answer: 4*d**2 - 92152*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, 7 in increasing order.\nAnswer: -4, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 461494 and 20152?\nAnswer: 422728504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 4*(-2*sqrt(99) - sqrt(99)))*-1)\/(sqrt(900) + -5*(sqrt(900) - (sqrt(900) - (sqrt(900) + sqrt(900)*1)) - sqrt(900)) - sqrt(900)).\nAnswer: -11*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -14\/11 (b) -0.173 (c) -0.3 (d) -5\/2 (e) 0.7 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 4. Suppose -4*s + 3 = -13. Let d be (-4)\/18 + (-204)\/54. Let y be s*2*(1 + 7\/d). Give g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.70234 rounded to one decimal place?\nAnswer: 268.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 + 0.11999995. Round f to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 9*n + 12. Suppose 5*z - 18 = -3*g + 2*z, -5*g - 4*z + 33 = 0. Is 12 a factor of d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s)\/s**(-4\/3))\/((s\/s**(-1\/5))\/s*s**(5\/2))*s**(4\/5)\/s**7*(s**(-1)\/s)**(-3\/37) assuming s is positive.\nAnswer: s**(-10439\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**2 - 30*u**2 - 14*u**2.\nAnswer: -57*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -23*p - 16. Let j be r(-5). Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*p + 1. Let v be ((-2)\/(-8))\/(p\/(-2)). Let b be (-1)\/(-3) - 12\/9. Which is greater: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*o + o - k, -4*o - 4*k = -44. Calculate the smallest common multiple of 26 and o.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1026.0004 + -1030. Let u = -0.3 - 3.7. Let y = u - r. Round y to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33311 is divided by 2470.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -95*h**2. Let s(t) = -25*t. Calculate s(m(g)).\nAnswer: 2375*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:27 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 935298 divided by 273.\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 382, -1, -5, 4, 5 in descending order.\nAnswer: 382, 5, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67\/10, 15, 0.5, -0.207 in decreasing order.\nAnswer: 15, 0.5, -0.207, -67\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujvvuvjuuvvuvujvuv. What is prob of picking 1 u and 2 v?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01543824 rounded to five decimal places?\nAnswer: -0.01544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1194 and -0.04557.\nAnswer: -1194.04557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = h - 7064 + 1867, -4*h + 2588 = -2*u. Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-10) - -2) + 81\/135?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/376 and -38\/205625.\nAnswer: 1645000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 121 - 37. Suppose 5*d = -3*u + 194, 311 = 5*u + 2*d - 6*d. What is the highest common factor of u and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-2)\/4)*(-2)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 1, f: 4, m: 3, r: 2, b: 1}. Give prob of sequence mbr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + 20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 17*u**2\/2 - 26*u + 52. What is the first derivative of p(g) wrt g?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 32*c**3 + 3*c**2. Let q(y) = -63*y**3 - 5*y**2. Give 3*q(p) + 5*v(p).\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-180))\/((-6)\/(-15)). Let p = 79\/168 + a. What is the third biggest value in p, 0.5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 + 50*q**2 - 79 in the form h*q + d + t*q**2 and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47\/15 + -14\/5. Let i be (44\/(-77) - (-38)\/(-154)) + 1. Is i at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*m**2 - 9*k**2*m*s**2 - 3*k**2*m*s + 33*k*m**2*s - k*m**2 + 7*k*s**3 - m**2*s**2 wrt s.\nAnswer: -18*k**2*m + 42*k*s - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16.05. Let v = q + -0.05. Let u = -2 + v. What is the nearest to 0.3 in -0.4, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4576 + 150b?\nAnswer: 5a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010 = -7*n + 142. Let k be n\/(-44) - (-4)\/22. Suppose -k*g + 5*d + 75 = 12, g - 23 = d. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-2)\/4). Let c be (-2)\/((-4)\/10) - 1. Suppose -4*f - 6 = -6*f. Solve -c = f*x - h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009591 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 999 + 11*y - 999 - 3*y**2 + y.\nAnswer: -3*y*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 16*w**3 - 14 - 15*w**3 + 2*w**2 + (-w**3 + w**3 - 2*w**3)*(2 - 4 + 3).\nAnswer: -w**3 + 2*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19266.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1024?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vts when three letters picked without replacement from {t: 4, p: 2, s: 1, v: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a*a\/(a*a*a**11))\/a)*a*a**(-5\/3)\/a*a**(-5\/3)\/(a*a**8*a) assuming a is positive.\nAnswer: a**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(99) + 2 - 4*sqrt(44))*-6)**2.\nAnswer: -720*sqrt(11) + 10046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14 - o - 5 + 14*o. Let v be i(-1). Sort v, 4, 27 in descending order.\nAnswer: 27, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 7*n + 5. Let b be t(-7). Let j(a) = -a**2 + 4*a - 3. Let f be j(4). Let y = b + f. Solve 0 = -z - y*s + 3, -5*s - 1 = 3*z - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/90*6 + 3)\/((-22)\/110)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 0.25.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/396 and 193\/167040?\nAnswer: 1837440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -99*x**2\/2 - x - 1670. Let b(v) = 10*v**2. Give b(u(l)).\nAnswer: 98010*l**2 + 1980*l + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1964128320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*h**2*u*w - h**2*u + h*u*w**2 + h*u - 2*u*w**2 - 96*u*w + 7 wrt h?\nAnswer: -16*h*u*w - 2*h*u + u*w**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:56 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(300)*-2)**2 - (sqrt(243)*-3 - (1 + sqrt(48)))**2.\nAnswer: -62*sqrt(3) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.1\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5255.164 microseconds?\nAnswer: 0.005255164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 - -691. Is c a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-1947)\/66)\/59?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3374 + -3368. Let b(t) = -7*t**3 - 5*t**2 + 2*t - 4. Let i(w) = 8*w**3 + 6*w**2 - 3*w + 5. Give j*b(r) + 5*i(r).\nAnswer: -2*r**3 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 49965*w**2.\nAnswer: 3*w**2*(w + 16655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/60 + v**4\/8 + v**3\/3 - 6*v**2. Let h = 194 + -192. Suppose 0 = 2*k + 3*k + 2*g - 30, h*g - 10 = 0. Calculate y(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 3066 = -8403. Which is smaller: b or -595?\nAnswer: -595","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.06 (c) -627 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 1 + 9*t - 2*t + 2. Let n be c(-7). Let a be (n\/(-8))\/(4\/(-24)). What is the nearest to -1\/3 in -5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 14) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u**7)\/(u**(3\/8))**(-3) assuming u is positive.\nAnswer: u**(89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1749154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 8*u**2 + 15*u + 9. Let w(z) = -z**3 + z**2 + 25*z - 50. Let i be w(2). Determine x(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 1212 = 14*g. Is 15 a factor of (30 + 25)*g\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -120.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1*13 - (-166 + (-288417)\/(-1905))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 1, f: 4}. What is prob of sequence fj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*h + h. Let m(j) = -j**3 + 9*j**2 + 2*j + 7. What is the tens digit of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((6\/9)\/(10\/(-15)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(2*d**3 - 6*d**3 + 3*d**3) - 32*d**3 - 45*d**3 + 3*d**3 + 2*d**3 - 6*d**3 - 5*d**3.\nAnswer: -85*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 119140\/266 - (-4)\/38. What is the common denominator of (2 - 904\/c)*62 and 15\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 24*j**3 - 1 + 0.\nAnswer: 24*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3642 or -3643?\nAnswer: -3643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 1280*j**4 - 6324*j**3 + 7544*j**2 + 5072*j - 10080 = 0.\nAnswer: -1, 2, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -0.3, 0.2881, 4 in descending order.\nAnswer: 4, 0.2881, -1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y - 3*y - 4*y to the form z*y + w and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 7:19 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2512\/(-180) + 112\/(-2520). Let s be (4\/6)\/((-10)\/(-3)). Which is the biggest value? (a) h (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -113, -160, -203, -242?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-16)\/(-8))*(-2)\/6. Suppose -3*j + 11 = 5. Let l(w) = 5*w**2 + 0*w**j - 3*w + 6 + n*w**2 - w**3. Determine l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(25*-1 - -3)\/(-2). Let v = i - -33. Solve -4*x - 2*t = 11 + 7, v = 2*t + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*k - 1 + 0*k + k - 2*k + (-2*k + 4*k - k)*(-7 + 2 + 3) + (2*k + 3*k - 3*k)*(-3 + 5 + 0) - 5*k + k + 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22081 divided by -2?\nAnswer: 22081\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -2.0689.\nAnswer: -4.1378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 2 = x. Solve -13 = x*z - 2*l, 2*z - l = 4*z + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -120. Let o = -3464 - -3460. Sort o, 0, w in decreasing order.\nAnswer: 0, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7934 = -2*j + 4*w, -7560 = -3*j - 5*w + 4396. Let v = 43797\/11 - j. Calculate the common denominator of v and 32\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 5:30 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/1*3\/(-6). Suppose 0*k - 22 = -4*j - k, x*k - 15 = -j. Suppose h = -0*h + j. Solve -h - 1 = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 3*b + 0*b**3 + 0*b**2 + 1\/12*b**4 + 0. Let y(x) = 0*x - 3*x + 4*x. Give y(r(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/2 + t**3\/6 - 14*t. What is the second derivative of j(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c02d5 (base 14) to base 12.\nAnswer: 1a3143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201000022110 (base 3) in base 10?\nAnswer: 905646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c31c (base 13) to base 9.\nAnswer: -137223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(242) + -1*sqrt(242) - sqrt(242)).\nAnswer: -11*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-1\/4)*v*v**(2\/3)*(v**1\/v)**(29\/2))**(-8) assuming v is positive.\nAnswer: v**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120082778, 120082779, 120082780, 120082781?\nAnswer: 120082782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111.8999996318 + 111.9. Round l to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8868885?\nAnswer: 3, 5, 591259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61b - 68a?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 72605.\nAnswer: 72603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1149 = -507*m + 6910 + 3602 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 41*q**2 + 7*q - 159. What are the prime factors of r(41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13523*c**2 + c**3 + 17549*c**2 + 27859*c**2.\nAnswer: c**3 + 31885*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 375858 and 1316.\nAnswer: 35330652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 7 = 0, -40*q + 0*m + 127 + 19 = -2*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 7*i + 3\/100*i**5 + 9\/5*i**2 - 1\/2*i**3 + 0 - 1\/10*i**4. Factor x(t).\nAnswer: 3*(t - 3)*(t - 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -128e0cc + 14?\nAnswer: -128e0b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 10*c + 6. Let u be t(-8). Differentiate -9 - 124*y + u - 8 + 57 with respect to y.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1232.608 + -21.\nAnswer: 1211.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 + -4 - ((-3 - 8) + (0 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g + 47. Let o be k(4). What is the derivative of 26*w**4 - 3*w**4 - 14 + o wrt w?\nAnswer: 92*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:41 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 264791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*h + 83*h - 40 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2. Let s(v) = -v**3 + 4*v**2 - v - 4. Let c be s(2). Let k(t) = 2*t**2 - 6*t**c + 2*t**2 - 2*t**2. What is k(d(r))?\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 551689 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: Calculate the remainder when 2332 is divided by 738.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*q - 0*q. Let v be 177 - (8\/36 - (-60)\/q). Let d = v + -2687\/15. Which is the nearest to d? (a) 1 (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -255.58481 - -256.08. Round w to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3*i - 4*i)*(-711*i + 670*i - 1300*i)*(-5*i + 4*i + 3 + 0*i).\nAnswer: 2682*i**3 - 8046*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:49 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*b - 3*y, 0 = 3*b - 0*y + 5*y - 4. Let g(w) be the third derivative of 1\/12*w**4 + 0*w**b - w**2 + 0*w + 0. Let k(m) = m**2. Determine g(k(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 272?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*k + 9, -3*q - 5*k + 0*k = -13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -15868.003496.\nAnswer: -15877.003496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*x + 2*z + 80, -x + z - 88 = -100 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 + 14*k**3 - 36*k**2 - 56*k + 160 = 0. Calculate k.\nAnswer: -2, 2, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhdxbnbdddrhdh. Give prob of picking 2 d, 1 x, and 1 b.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36\/112*(-322)\/138\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-416)\/72 + 4\/(-18). What are the prime factors of 2 - (3 - -178*3\/j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 4 - (-2 - 1 - (69 + -67)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 4*w + 5*m, 4*w - m - 47 = 14. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/3, 1819\/135?\nAnswer: 1819\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1. Let c(u) = -2*u**2 - 4*u + 15. Let b(h) = -c(h) - 6*o(h). Let q(n) be the first derivative of b(n). What is q(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.88631 - 0.08631. Which is the nearest to 0? (a) m (b) 6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/4 - n**4 + 119*n**3\/4 - 149*n**2\/2 - 7*n + 98 = 0. Calculate n.\nAnswer: -14, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 112729867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-153))\/(-18*(-17)\/1836)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -3. Suppose 3*p - 5 = 10. Let z(o) be the first derivative of 2*o**3\/3 + 6*o + 1. Let v(t) = 2*t**2 + 5. What is p*z(g) + y*v(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5354 is divided by 763.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 18. Let n(i) = 2*i - 5. Let m(a) = 2*a - 6. Determine o*m(y) + 4*n(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1928, 8026, 18210, 32480, 50836?\n\"Answer: 2043*n**2 - 31*n - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + ((sqrt(95) + (sqrt(95) - 2*sqrt(95)))*3 - sqrt(95)))\/(sqrt(50)\/(sqrt(10)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19246*90\/140 - (-6)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {s: 1, o: 5, w: 3, i: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(200) - sqrt(200))*-1)**2 + sqrt(200) - sqrt(200))*4 - (sqrt(200)*2 + 2 + -5).\nAnswer: -20*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71*l + 83 wrt l?\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/4 + 766*q = 0.\nAnswer: 0, 3064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = p + d - 2813, 3*p + 4*d - 7689 = 0. Suppose 3081 = 10*z - p. Is z a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3135, -0.05379, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2)\/z*z\/z**(1\/4))\/((z**(-5\/7)\/z*z*z)\/z**9) assuming z is positive.\nAnswer: z**(279\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 181*w**6\/120 - w**5\/60 + 13*w**3\/3 - 186*w**2. Find the third derivative of f(n) wrt n.\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95747 - 34127. Round r to the nearest 1000.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, -4\/3, 0, 2\/5, -4\/7 in ascending order.\nAnswer: -70, -4\/3, -4\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.107 - 0.507. Which is the third biggest value? (a) 0 (b) 2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19248*u**2 + 19223*u**2 + 14 + 62 in the form y + n*u + a*u**2 and give y.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Suppose 0*y + 3*y - 6 = -2*q, -5*q + 15 = -4*y. Let v(r) = -q*r**2 + 2*r**2 + r**2 - 4*r**2. Determine v(s(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*n = -2240 + 1604 + 2236 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-298*(-1)\/(-6). Let q = 214 + n. Let r = 256 - q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2. Let b(s) = -217*s. Give b(l(d)).\nAnswer: 217*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -4. Find the second derivative of m**w + m + 2*m**5 + 0*m**4 + 0*m**4 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {m: 1, d: 3, o: 1, y: 10}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111602 (base 7) to base 2.\nAnswer: -100110110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631485 is divided by 352.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*2)\/(36\/(-396)) - 1. Suppose 144 = i*w - 15*w. Calculate the highest common divisor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - 12. Let h = -30 - p. What is the third biggest value in -0.1, h, -2\/13, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*a. Let c be (-2 - (2 - a))*-1. Suppose -10 = -f - f, -c*g = f - 45. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 37*r + 71 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -75*o**3 + 2*o**2 + 2*o - 8. Is 39 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78170, -78457, -78744, -79031?\nAnswer: -79318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5976 by -664.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -441, -1755, -3939, -6993, -10917, -15711, -21375?\n\"Answer: -435*c**2 - 9*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*h**5 + 6759*h**4 + 2668*h**3 - 26704*h**2 - 11968*h - 1328 = 0.\nAnswer: -83, -2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 1\/6*l**3 + 0*l - 1\/4*l**2 + 1. Find n, given that w(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -x + 4, x + 600 - 598 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**8\/6720 - q**5\/60 + 5*q**4\/12 + 24*q. Let v(r) be the third derivative of m(r). Let h = -19 + 19. Determine v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78419190 + 78419190 - 25*v**2 - 60*v**2.\nAnswer: -85*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024337 rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -0*i + 196. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/4 + 44*t - 179. Calculate w(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 7947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 457.3919 take away 13.96?\nAnswer: 443.4319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12*s + 5. Let j(p) = -8*p + 3. Let b = -11562 + 11567. Let r = -20 - -12. Give b*m(u) + r*j(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 + 3*s - 3. Let i be b(1). Let q be (i\/(-3))\/((-6)\/(-20430)*-2). Round q to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33566178 a multiple of 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 4*s - 2. Let f be t(-5). Suppose -7*q + 5*q = -8. Sort q, f, -5 in descending order.\nAnswer: q, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -48*k + 1177. Determine x(25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -540 - -540. Solve f = -5*t + 3*m - 32, 5*t + m = -4*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*1 + sqrt(85))*5)\/(sqrt(5) - sqrt(360)\/sqrt(8)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*y**2 - 5*a**2*y + 753716*a**2 + 13872*a*y**2 wrt y?\nAnswer: -4*a**2*y - 5*a**2 + 27744*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 - 176*f + 1936 = 0. Calculate f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - q**2 - 2926*q + 2926*q + 8*q**3 as n + g*q + t*q**2 + j*q**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000567 is divided by 11370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 1:56 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -18. What is the nearest to 0 in -5, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/77 + -20\/77. Suppose 35*u - 18 = 29*u. What is the second smallest value in u, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57549.72 nanograms to tonnes.\nAnswer: 0.00000000005754972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/180 + 46446\/45 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126196, -504808, -1135824, -2019238, -3155044?\nAnswer: -4543236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 11:57 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1408680.\nAnswer: 1\/1408680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953600 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*c - 75388 = 0, 37*c - 18835 = -m + 32*c. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45399465.56 to the nearest 10000.\nAnswer: -45400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4150 is divided by 553?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 not equal to -2715199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164.531 - -0.469. Let g(y) = -y + 1. Let h be g(0). Is h != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.26 and -5.733?\nAnswer: 35.88858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 34 = 20*n + 4*p, n = 4*p + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 7 - 3. Suppose -4 + v = -2*y. Suppose -y - 5 = 2*j. Is j > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142070 to the nearest one thousand.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (7 + -4)) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((288\/300)\/8)\/(1\/5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00081886304 to 6 dps.\nAnswer: -0.000819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(1539) + 5 + 1)**2*6*3 + 0.\nAnswer: 2592*sqrt(19) + 28857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**2)*n*n))\/(n*n*n**5)*(((n**(-2)\/n)\/n)\/n)\/((n\/((n\/(n**3\/n))\/n*n))\/n))\/((n*n\/(n**(4\/5)*n))\/n**(-1)*(n**0)**(8\/11)) assuming n is positive.\nAnswer: n**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 4500300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1727 - 1724. Let t be 30\/4*1\/20. Which is the fourth smallest value? (a) h (b) -0.5 (c) t (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5043843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*g = 3*s + 17, -5*s - 2*g + 20 = 0. Suppose 4*t - 7 = 5. Suppose -117 = -2*z + d, z = s*z - t*d - 66. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Let g = -0.25 + -9.75. Let n = g - -8. Which is the third smallest value? (a) n (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101394, -202988, -304592, -406212, -507854, -609524, -711228?\nAnswer: -812972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:24 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**2 - 9*y + 3. Let o(r) = r**2 + r. Let d(h) = 6*o(h) + z(h). Let v be d(3). Does 11 divide (v + (-3)\/12)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nav. What is prob of sequence vaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 12 = 10*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*n**2 - 3*n**3 - 181*n**2 + 7*n**3 - 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5232 = -2*k. Let a be 20\/(-50) + k\/10. Let g = 274 - a. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -47a61b?\nAnswer: -47a627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -48*q - 43 + 22 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2143770 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -5\/4 (c) 4 (d) -0.01 (e) -459 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -5, 1, -7, 3 in descending order.\nAnswer: 3, 1, 0, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31901010?\nAnswer: 2, 3, 5, 17, 71, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Let s = 6 - b. Let p = -4.3 + 4.2. Put s, p, -4 in increasing order.\nAnswer: -4, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -2\/327?\nAnswer: -2\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 4. Let m be k(-3). Let l be (-2 - -1 - -2)*m. Let z = 2111\/12 + -176. What is the biggest value in l, z, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, u: 2}. Give prob of sequence ruur.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**2 + 4 - i - 7\/3*i**3. Let b(q) = -13*q**2 + 4*q - 2. Let s(a) = 4*b(a) - 7*z(a). Calculate s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 10 - 18 + 12 - 4.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172517*k + 690113*k - 172515*k - 172479*k - 172499*k.\nAnswer: 103*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16*y - 1. Let h(f) = -f + 1. Determine 3*h(m) + j(m).\nAnswer: -19*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/60 - a**3\/6 + 121*a**2. Give b(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 1, m: 1, j: 1, t: 1}. Give prob of sequence jtm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2387 - -2414. What is the highest common factor of y and 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 6*q**2 - q + 10. Suppose 17*i - 25 - 77 = 0. Determine z(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180) + -4 + -5 + sqrt(180) + -3 - (5 + 6*((sqrt(180) - (1 + sqrt(180) - sqrt(180)))*1 + sqrt(180))))**2.\nAnswer: 1188*sqrt(5) + 14701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262305 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171530 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2460, 4665, 6370, 7323, 7272, 5965, 3150?\n\"Answer: -42*k**3 + 2*k**2 + 2493*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -148. Let b be 27\/3*(-20)\/o. What is the second smallest value in -2\/13, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -483.5 * -0.1508.\nAnswer: 72.9118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-12) + -1 + (-40)\/(-24). Let a = -5 - -9. Solve 6 = a*b - p*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -19, -33, -61, -109, -183, -289?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:57 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -28. Let l(o) = -o - 2. Let i be l(-7). Suppose -i*w - 10 = -2*p, 8 = -5*p - w - 3*w. Solve p = 5*u - x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 4*h + 37. List the prime factors of m(-11).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccppwccwpxdxcxc. Give prob of picking 2 x and 1 p.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133.5 + 133.5. Suppose 5*f + 5*o = 6 + 4, -o - 14 = -3*f. Which is the closest to p? (a) f (b) -9 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)\/(i*i*i**(-3\/2)))\/(i*i**(1\/2)*i\/i**0) assuming i is positive.\nAnswer: i**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0*i + 0*i**3 - 89\/120*i**6 + 0 - 1\/24*i**4 + 7\/15*i**5 - 5*i**2. What is the third derivative of a(v) wrt v?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4592)\/(-2) + 64 + -71?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96801267?\nAnswer: 3, 53, 601, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 109*x - 108*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.588*-46503.\nAnswer: -27343.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (545 + 420 - 567)*(-b + 10*b - b) in the form g*b + o and give g.\nAnswer: 3184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xux when three letters picked without replacement from xuxxuxuuuxux.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 288680548423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 2*f + 1. Let g be 4*1\/2*4. Let v = 5 - g. Is s(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 5*z**3\/3 + 110*z**2 + 800*z + 671. Factor t(w).\nAnswer: 5*(w + 4)*(w + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10135 is divided by 290.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604.9377 centuries to months.\nAnswer: 725925.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b67 (base 15) in base 12?\nAnswer: 15a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - w - 2*w - w + 4*w - 2*w + (2*w + 1 - 1)*(-1 + 4 + 4))*(3*w**3 - 2*w**3 + 4*w**3) as m*w**4 + f + z*w + r*w**3 + i*w**2 and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6494549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 1\/3, -0.2, -4388, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.2 != -98849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 476556.2ng to grams.\nAnswer: 0.0004765562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-10) + (-2)\/5. Suppose 5 = l*h + 2*j + 1, h + 3*j = 12. Let v = 3 + h. Solve v = -5*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 780\/26 - (2 + 1)*1. Let l be (-2 + 2)*1\/(w\/9). Which is bigger: -12\/121 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**3\/3 + 23*j**2\/2 + 136*j - 161. Let x be d(-5). What is the closest to 0.1 in 1\/3, -1\/9, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -478 + 10*m**2 + 478 + (2*m - m - 4*m)*(m + 2*m - m) + m**2 - m**2 - 2*m**2 to u + z*m**2 + w*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = -2*j, -j = -2*j + 3*w - 4. Suppose -3*g = -k + 2*k - 215, -5*k = 35. What is the smallest common multiple of g and j?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Let g be f - -2 - 2576\/(-395). Let y = -22\/79 - g. What is the common denominator of y and -81\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -352 + 356. What is the second biggest value in -2\/7, o, 95, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7767 - 2?\nAnswer: -7769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 2*b**5 + b**3 + (3 + 0 - 4)*(-2*b - 2*b**5 + 2*b).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1. Let x(u) = 2*u**2 + u - 3. What is 6*h(k) - 2*x(k)?\nAnswer: -4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2 - 1\/4*d**4 - 7\/2*d**2 + 4*d + 2*d**3. What is the units digit of a(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12432 (base 5) in base 4?\nAnswer: 33200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2\/198787, 2 in descending order.\nAnswer: 2, 2\/9, 2\/198787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in -3\/119228, 0.08, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5374*j + 52955 = 4751*j for j.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 2 - 182\/(-30))\/((-7)\/42).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13898082*x**2 + 226614901*x wrt x.\nAnswer: 27796164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 + 1.03. Let p = 1.12 - w. Let d = 22.7 + -23. What is the nearest to 2 in p, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*t + 3*t**2 - 7*t**2 + 2*t**2 + 8*t**3 + 18*t to s*t**2 + x*t**3 + r + i*t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102913693 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -756.97 take away 1046.30032?\nAnswer: -1803.27032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -34*g + 319. Let x = -659 - -650. Does 25 divide c(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18) + 1 + sqrt(8))**2 + (-6*(2*sqrt(22) + sqrt(22)))\/sqrt(11).\nAnswer: -2*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(720) + 2 + (sqrt(720) - (1 + sqrt(720))) + 4 + -2*-4*(-3 + sqrt(720) + 2*sqrt(720)))**2 + 1.\nAnswer: -11856*sqrt(5) + 487082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1525 and 1891?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3199743, 3199754, 3199777, 3199818, 3199883?\n\"Answer: q**3 + 4*q + 3199738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17984 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/3 - 463*i**3\/3 - 2803*i**2\/3 - 5153*i\/3 - 938 = 0.\nAnswer: -3, -2, -1, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -4, 0.14, -10343?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -21 + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 9*f + 480. What is the highest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579363 - 620*f**3 + 579363.\nAnswer: -620*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 16, -6, -1 in decreasing order.\nAnswer: 16, 5, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 22*z**2 - 46*z + 15. Let t be a(-21). Suppose 2*k - t = 3*n, -3*k + n = -4*k + 270. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279042443 and 359.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -102*p - 678. What is the remainder when 102 is divided by b(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19\/10 + 633\/70. Find the common denominator of y and -29\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 3*b + 3*o - 33, 0 = 2*b - 5*o + 6. Let v = b - 7. Let u(d) = -d**2 + 3*d**3 - 4*d**3 + v*d**3 - 6*d**2 - 4 - d. Determine u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -135, -146, -171, -216, -287, -390, -531, -716?\n\"Answer: -q**3 - q**2 - q - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1086.4 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g**2 + 75*g + 6 + 3 - 2 - 75*g.\nAnswer: 37*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 41*m - 76*m. Let j = -5 + 10. Solve 9*a + j = m*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 352\/1539 + -10\/81. Suppose -5*d + d + 16 = 0. Suppose -d = -3*w - 4*k, w = 3*k - 8*k + 5. Which is greater: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -149. Which is the second smallest value? (a) 0.5 (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.088 - 0.696. Let k = -0.884 - u. Which is the closest to k? (a) 33 (b) 0.1 (c) 5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, 0.05, -15 in descending order.\nAnswer: 1, 0.05, -1\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1729, -2563, -3397, -4231?\nAnswer: -5065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) + (-48)\/170. Suppose -3893*n = -3856*n. Which is the second smallest value? (a) -0.2 (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3 + 2*i + 1 - 3*i. Let z = 13 - 8. Suppose 0 = -3*t - 3*y + 15, 4*t - 5*t + z*y - 25 = 0. Calculate c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 217, 251, 265, 253, 209?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 12*q + 27. Let b be l(9). Let w be (2\/(-9))\/(-4 + 2). Put w, b, 2\/9 in decreasing order.\nAnswer: 2\/9, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 1 (c) 2\/3 (d) -3.2 (e) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - 9. Let f(d) = d**2 + 3. Let y(r) = -8*f(r) - 3*q(r). What is the remainder when 73 is divided by y(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947639*a**2 + 32 + 947602*a**2 + 0*a - a.\nAnswer: -37*a**2 - a + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79094.74 - 0.1.\nAnswer: -79094.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**2*u + 66*k**2 + 96*k*u wrt u?\nAnswer: -k**2 + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 1. Let w be c(-2). Find the second derivative of 0*g + 0*g**w + g**5 - 4*g wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -439 - -435. Is a not equal to 2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*q - 0*z + 50, q + z = 13. Suppose 8*a + 8 = q*a. Factor 3*g**3 + g**5 - 6*g**5 + a*g**5.\nAnswer: -3*g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38436.99980853 - -38437. Round h to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 35 = -5*h, h + 4*d + 18 = -0*h. Let t be (-3)\/h*(-8)\/3. Suppose t*p + 28 = 2*k, 0*p + k = 3*p + 21. Sort p, -1, 3 in ascending order.\nAnswer: p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-18)\/(-24)*12\/36)\/19\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*f**3 - 33 + 33 + (76*f**2 + 36*f**2 - 27*f**2)*(f + 0*f + 0*f) to k*f**2 + z + o*f**3 + n*f and give o.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*o - 40, 2*d - o + 43 = 6*d. What is the remainder when 35 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 6*l**2 - 4*l - 3. Let m be j(4). Suppose -m*y = 12*y - 100. What is the second biggest value in 3, y, 0.3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/22*(-210155)\/(-3821).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -267 - -306. Calculate the highest common divisor of a and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - n - 3, 5*a - 11 = -12*n + 16*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -4, 0 in decreasing order.\nAnswer: 19, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12948 is divided by 1216.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.42 times 2330.47?\nAnswer: -3309.2674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (572 + 569 + 568 + 3140*v - 1709)*(0*v + 0*v - v) as u*v**2 + h + q*v and give u.\nAnswer: -3140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20733, 41475, 62231, 83007, 103809?\nAnswer: 124643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(-1\/26)\/c)))\/c*c)**(-5\/4) assuming c is positive.\nAnswer: c**(135\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294507 - 2*q**2 - q**2 + q**2 - 294433.\nAnswer: -2*q**2 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25963158 to the nearest integer?\nAnswer: 5095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 5) in base 8?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1501895, 1501893, 1501891, 1501889, 1501887?\n\"Answer: -2*x + 1501897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - o + 5*o**3 + 5*o.\nAnswer: 4*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/35 - 30\/(-7). Suppose c*x + 5*j - 1672 = 0, -x - 2*x + 1219 = -5*j. What is x rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 359955 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171) + sqrt(171)*-3 + sqrt(171) + sqrt(171) - sqrt(171))*3)\/((sqrt(1089) + (sqrt(1089) - (-1*sqrt(1089) - sqrt(1089))))*-6).\nAnswer: sqrt(19)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffmmmmfff. What is prob of sequence mfmm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000020 - -100?\nAnswer: 1000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12676258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayy when three letters picked without replacement from ayayaaacyyy.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10521450 (base 6) in base 5?\nAnswer: 40244143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/(-576) + 2\/(-18). Suppose 4*d - 16 = 5*w, -2*d - 3*d + 20 = -4*w. Solve r = -w*f - 2*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 757.388244 to 1 dp.\nAnswer: 757.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*m = 463*m - 378 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + -87 + 100\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59042*l**2 - 240392*l**2 - 307439*l**2.\nAnswer: -488789*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6380010, -6380006, -6380002, -6379998, -6379994, -6379990?\nAnswer: -6379986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -6, 7747, -1, 0, 2 in increasing order.\nAnswer: -6, -1, 0, 2, 45, 7747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*y = 134, 0*j - 308 = -2*j + 4*y. Let x = 348 - j. Find the first derivative of -5*p + 194 - 2*p - x wrt p.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j**2 - 4*j**2 + 2*j**2)*(1942*j**2 - 3420*j**2 + 2239*j**2 + 764*j**2).\nAnswer: 15250*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 8802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 22*k**2 - 2532*k - 5061. Calculate g(-2).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239208 - 25204*s**3 + 239208.\nAnswer: -25204*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**4 + 5*f**3 + 2*f**2 - 4*f. Let w(p) = 5*p**4 + 21*p**3 + 9*p**2 - 16*p. Let u(l) = 9*d(l) - 2*w(l). Factor u(t).\nAnswer: -t*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from {i: 3, k: 3, g: 11, b: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2*h - 2. Let s = 8 + -5. Let f be d(s). Let l(x) = x**3 + x**2 - x. Calculate l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255 or -511\/2?\nAnswer: -511\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85, -67, -61, -73, -109, -175, -277?\n\"Answer: -j**3 + 25*j - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*s - 32106 - 4209 - 2838 = 0 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let n(i) be the third derivative of i**5\/30 + i**3\/3 + 4*i**2. Let c(j) = j**2 - 1. Let b(f) = 2*c(f) + n(f). What is w(b(v))?\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -31190338012262.\nAnswer: -31190338012262.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/3 (c) 0.136615\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5184 and 501120.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9253 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let p(q) be the second derivative of -7*q**4\/6 + 4*q + 3. Calculate p(y(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850\/(-37)*10\/25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - 3 - p**2 + 0*p**2 + 4*p**2. Let i be f(2). Suppose -z = -5*c + 3, -5*z = -4*c - 10 - i. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(28\/21*((-288)\/(-8))\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2.9.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62947987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 - 4*f + 2. Let p(s) = 2*s**2 + 28*s + 2. Let h be (-25)\/(0 - -5)*19. Let x = -109 - h. Let u be p(x). Give j(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*u - 11 = 0, -y + 4*u - 22 = y. Let x = -11 - y. Sort x, 5, 4 in increasing order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2326.\nAnswer: 3\/2326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6 = 4*b, -2*b + 14*q = 13*q + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3da0 - 0?\nAnswer: 3da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m**2 - 9*m + 40. Is 10 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*r**2 + 3 - 3 - 150*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 1. Let v be (-1)\/(1\/(-2)*-2). Let d(s) = -s. Give v*t(x) + 4*d(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/276895 or 1?\nAnswer: 3\/276895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(3 - 3 + 2*b**4) + 2*b**4 - 4*b**3 + 4*b**3 + b**2 - 3*b**4 - b**2 + (0*b**3 + 2*b**3 + 0*b**3)*(-19*b + b + 4*b).\nAnswer: -33*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19447 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100111101 - 1101101100111?\nAnswer: -10101010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 687569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*l + 1 + 2, 3*l = -2*h - 15. Sort l, 6, -1 in increasing order.\nAnswer: l, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 711\/5 - 143. What is the nearest to 0.1 in 0.2, w, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 100020?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 3635.\nAnswer: 3634.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 11*d**2 + d - 10. Calculate h(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2648 - -2642. Let x(i) = 1. Let v(r) = 35*r + 6. Calculate a*x(q) + v(q).\nAnswer: 35*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Let a be (0 + 2)\/(h\/10). What are the prime factors of 22\/((-5)\/(a\/(-2)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2736019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9870 - 36*n + 9870)*(-29*n - 28*n + 17*n) + n**2 + 0 + 0 + 0*n**2 + n**2 + n**2.\nAnswer: 1443*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*y + 91 = -422*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 10. Determine x(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 - -119. Let k be (-5)\/2 + 2 + 0. What is the nearest to -4 in t, -2\/7, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 83 + 3 = 0. Suppose -15*b + 2 = -14*b. What is the remainder when ((-1)\/(b\/w))\/(4\/22) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((21\/(-18))\/((-4)\/(-20))).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**5\/20 + 2*d**4\/3 + 3*d**3\/2 + d**2\/2 - 2*d. Suppose -5*n = 3*q - 32, -6*n + 4*n - 34 = -4*q. Calculate k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21325408254 - 4*n + 2*n + 21325408254.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c - 1. Let b(s) = -14*s + 1. Calculate 5*b(g) - 6*u(g).\nAnswer: 8*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 86880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*i = 736, 0 = 4*g - 3*i - 912 - 556. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 0.0577?\nAnswer: -3.0577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 261795 (base 10) in base 3?\nAnswer: 111022010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (798\/(-1995))\/(15\/(-6)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 10 = 13*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 8*w + 154. Let p be a(17). Solve 6*b - 11 = p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2814.194 micrometers?\nAnswer: 0.2814194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/60 + p**4\/3 + p**3 - 25*p**2. What is the remainder when h(-8) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 26 = 10. Solve -1 = -3*j - 5*v, -a*v + 23 = -5*j - 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + 44*n + 496. Let g(x) = 5*x**2 - 88*x - 989. Let f(m) = 4*g(m) + 7*v(m). Factor f(u).\nAnswer: -(u + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4076000 (base 9) to base 15.\nAnswer: 2ceb60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 4*c = -6*j - 40, 3*j + c - 41 = 0. Solve j = 42*q - 38*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4144357 and -2?\nAnswer: -8288714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - n + 6*d = -24, -305 = 5*d - 315 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/6 (b) 0.0225 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(396)*3 + sqrt(396))*-2 - (sqrt(396) + ((((sqrt(396)*2 - sqrt(396) - sqrt(396)) + sqrt(396))*6)**2 - sqrt(396)) + -3).\nAnswer: -14253 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 876 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5552.7 times -10?\nAnswer: 55527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o + 2*l + 9 = 0, -2*l - 4 = 0. Let h = 7\/15 - 17\/15. Which is the nearest to 0? (a) -2\/7 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 - 7*u**2\/2 - 9*u\/4 + 81.\nAnswer: -(u - 4)*(u + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -4, -9\/2, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 4*u + 10. Let n be c(-5). Solve -t - n = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3 - 23. Calculate the common denominator of -2\/3 and ((-16)\/r)\/((-28)\/80).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 - 20310251?\nAnswer: -20310503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 1209401193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) -9\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15180 - -18170459\/1197. Find the common denominator of 20\/21 and b.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**2 + 18*m**2 - 4*m - 5 + 2*m + (2 - 2 + 2)*(2*m**2 - 2*m**2 + m**2) to the form t*m**2 + c + g*m and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*(l*l\/(((l*l**(-5\/6)\/l)\/l)\/l))\/l*l))\/l*l*l)\/l)**(-33)\/((l\/l**(-15))\/(l\/(l**(-17\/5)\/l))) assuming l is positive.\nAnswer: l**(1489\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6))\/(2\/(-60)). Let y = -13 + v. Let w be 0\/((-1 - 0) + 2). Solve w = -2*h - y*c - 14, 2*h + 5*c + 34 = 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/12 - 6*r. Let t(o) = 9*o. Determine k(t(f)).\nAnswer: 81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - y**2 - 2*y + 5. Let g be u(0). Suppose -2*d + 106 + 60 = g*c, 134 = 4*c + d. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by 3.\nAnswer: -131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/7 and 2\/(-366)*(19 - 12694\/814).\nAnswer: 15799","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179182071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -12. Let w(x) = 96*x - 8. Let v be w(o). Is (-33)\/(-55) - v\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 3, k: 1, x: 4, e: 5, d: 1}. Give prob of sequence dex.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -280*c - 13. Let q(k) = 70*k. Calculate q(d(n)).\nAnswer: -19600*n - 910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 + 3*a + 17. Let x(y) = -y**2 + y + 8. Let q(z) = -2*j(z) + 5*x(z). Is 6 a factor of q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 37*j**5\/20 - 11*j**4\/24 + 19*j**3\/6 - 35*j**2. List the prime factors of h(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 3, -7, -4 in ascending order.\nAnswer: -7, -6, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*l**2 - i**2*l + 4*i**2 + 11*i*l + 9*i + 5024*l**3 - 4*l**2 wrt l?\nAnswer: -6*i**2 + 30144*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3205.59072 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 7*p**5\/60 - 3*p**4\/8 + p**3 + 13*p**2 + 1. Let x(y) = 13*y**2 - 17*y + 11. What is 11*r(w) - 6*x(w)?\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*x - 201*x = 26184. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 940 and 1891660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 137*c - 134*c + 18.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -971? (a) -3 (b) 3740\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5\/3, -7, -3\/2.\nAnswer: -7, -5\/3, -3\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*g + 5*c - 1, 4*g - c = 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177072338?\nAnswer: 2, 79, 1120711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1520065321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*y = -1, -5*k + 5*y = 9 - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 5*b + 12. What is v(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1a7?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + 1\/2. Let i = p - -2. Suppose -13 - 7 = -3*g + y, -4 = -3*g + 5*y. Calculate the least common multiple of g and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-6)*q)*q**(-1\/4)\/q*q**3*q**(-6))\/(q**(-3)*q*q\/(q**(-1)*q))**(-4\/15) assuming q is positive.\nAnswer: q**(29\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 - 81*l**4 - 288*l**3 - 276*l**2 = 0. What is l?\nAnswer: -23, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22496663*u**3 + 31972325*u**2?\nAnswer: -134979978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3, 0.4, -849?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.512, 4, -1, 0.02 in decreasing order.\nAnswer: 4, 0.512, 0.3, 0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -16. Let y = 0.2 + -0.3. Let c = -0.1 - y. What is the smallest value in 4\/9, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 27526424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 12 = -2*y. Solve 0 = 2*d + y*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 39068*r + 273378.\nAnswer: 2*(r - 19527)*(r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2220 and 44.\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 4 + -9 + (-4 - -2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/21*(-71 - 1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 7. Suppose 7*z + 23 = 149. Calculate the remainder when z is divided by (5\/w)\/1*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11582 times 57070\nAnswer: -660984740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let h(t) = -6*t + 8. Let k(s) = h(s) - 5*q(s). Let x be k(12). What is the remainder when -1 + (28\/x)\/(-1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + ((2*sqrt(180))\/sqrt(9))\/sqrt(4) - (-4 + ((-1*sqrt(125))**2 - (sqrt(5) + (sqrt(5) - (1*sqrt(180))**2))) + -2).\nAnswer: -299 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -36*x**2 + 191*x - 17. Let w be q(5). Solve -42*c - w*c = -78*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 3*o**2 - o**3 + 636 + 2*o**2 + o**4 - 638 as b*o**3 + t + p*o**4 + u*o + m*o**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20574, 17616, 14656, 11694, 8730, 5764, 2796?\n\"Answer: -n**2 - 2955*n + 23530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 495128.376 to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*n - 125 = 3*n, 0 = 2*u + 5*n - 77. Suppose 5 = 3*k + u. Let f = 56 - k. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -61, 4 in increasing order.\nAnswer: -61, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358372447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -357029597 * -5.\nAnswer: 1785147985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 2, w: 9}. Give prob of sequence tw.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*d**4 - 2*d**3 + 2*d + 8337.\nAnswer: -428*d**3 - 6*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 3*x**2 - 1\/2*x**3 + 0 + 36001\/24*x**4 + 0*x. Let k be h(3). What is k rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(125)*2 - (sqrt(125) + 2 + 2) - -3*(-2*sqrt(125) + -1))*6*6)**2.\nAnswer: 453600*sqrt(5) + 4113504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:35 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -217, -2 in descending order.\nAnswer: 2, -2, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/19, 2, -19, 2\/13, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000409988 to 6 dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84371*n - 11918*n + 22229*n.\nAnswer: -74060*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - -4.555.\nAnswer: -41.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -40?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68382719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 + -62)*(-1)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = 2*l, -4*l = u. Let y = 10 + -9.8. Which is the third biggest value? (a) y (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2798100 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4638240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267950 is divided by 6870?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114527239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 0.22, 6 in increasing order.\nAnswer: -28, 0.22, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and 0.02804?\nAnswer: 9.02804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 106.\nAnswer: 7314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*5074\nAnswer: -20296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, 189\/4, 2 in ascending order.\nAnswer: 2, 3, 8, 189\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6267?\nAnswer: 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/205 - 302\/20 and (-6)\/(-10) - (-82)\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 8*a + 3*a - 60, 2*a = 4*w - 50. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 33)*(-1 + 3*h + 1)*(29*h - 5*h - 20*h) in the form f + l*h**2 + y*h and give l.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u + 8 = 0, 5*g + 5*u - 30 = 0. Suppose -4*r + 7 = -2*b - 3, g*r - b = 7. Let n = -12 - -11. Sort n, r, 5.\nAnswer: n, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 14*y + 487*y - 3.\nAnswer: 473*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*t*z**2 + 178*h**3*t*z + 4085*h**3*z**3 + 3*h**3*z - 19*h*t*z**2 - h*z**3 + 2*t*z**3 wrt z.\nAnswer: 24510*h**3 - 6*h + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*x + 26 = -401*x. Solve -2*w - 5*r = 1, x*r = -8*w + 7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 816\/60 + -18 - (26\/10 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196778 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 632 and 40.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*t - 41*t + 155*t + 102*t.\nAnswer: 400*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -51*((-32)\/(-10) - 1\/5). Round v to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 18 + 6*o + 63 - 20.\nAnswer: 6*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -51, -3 in decreasing order.\nAnswer: 1, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 42*f - 1. Let d be v(-21). Let p be (2 + 0)*d\/(-14). Let t = -8 - -4. Sort 5, p, t in descending order.\nAnswer: 5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1137.211 + 1136. Let q = 0.211 + k. What is the fourth smallest value in 0, -0.2, q, -17\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 13. Solve -2*h + 3*h - 5*i + y = 0, 0 = -h - 5*i + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111120 (base 5) to base 15\nAnswer: 5bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, 239, 67.\nAnswer: 67, 219, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**7\/63 + h**6\/9 - h**5\/10 - 17*h**4\/18 + 28*h**3\/9 - 4*h**2 - 363*h. Suppose s(w) = 0. What is w?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89355 + -9?\nAnswer: -89360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + 149. Suppose -h = 3*x - 4*b, 5*x - 4*b + 3*b = -274. Let f be 94\/18 + 12\/x. Solve -f*g - 9 = 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*v + 1545 + 967, 9*v = -18. Calculate the highest common divisor of o and 264.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 - 4*o**2 + o**2 + (588 - 300 - 149)*(3*o**2 + 2*o**2 - 4*o**2).\nAnswer: 140*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*3*-5 - (sqrt(143) + (3*sqrt(143)*2 - sqrt(143)) + sqrt(143) - sqrt(143) - sqrt(143)))\/(sqrt(99)*1 - sqrt(99) - sqrt(22)\/sqrt(2)*-6).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88931166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/21 and 59\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 50 + 21)*((-v + 0*v + 0*v)*(-5*v**2 + 10*v**2 + 0*v**2) + 3*v**3 + 2*v - 2*v) as h*v**3 + s + d*v + l*v**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17268 - -17267.5. Let r be ((-3)\/(-6))\/((-2)\/8). What is the closest to -0.1 in r, -1\/6, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + -3 + sqrt(1573))**2 - (sqrt(117) + -1 - sqrt(117)).\nAnswer: -132*sqrt(13) + 6302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -3\/8, 215, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (202 - 214) - 33.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 4) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.305 (b) 0 (c) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*i**2*v**3 - 19612*i**2*v**2 - 4*i + 7*v**3 + 252926*v wrt i.\nAnswer: 210*v**3 - 39224*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*d + 12 = 0, z + 3*d + 1398 = 1380 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 1 - 17*d - 1 + 5 + 29*d - 4*d**3 - 11*d to the form s*d**2 + o*d + n + y*d**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/56 - (-4)\/(-14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/1031?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0183280385 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/(-18))\/(4\/6). Suppose 4*q + r = 2*r - 100, 3*q - c*r = -92. Let h = -8 - q. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-875) - (-3141568)\/(-66850)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 19*r + 53. Let y be o(-14). Calculate the highest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 4*o**2 - 3*o - 2. Let i be h(-3). Let k be (i - (2 + -5))*0. What is the third derivative of 3*l**4 - l**4 + 2*l**2 + k*l**2 - 6*l**2 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*x - 11969 = 22391 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 60. Which is smaller: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 11*y - 7. Let q be -6 + 0*(-1)\/(-2). Let f(z) = z**3 + 7*z**2 - 4*z - 3. Calculate the remainder when f(-5) is divided by h(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -20*c**2 + 3*c. Let w(u) = 104*u**2 - 16*u. Let l(h) = 48*q(h) + 9*w(h). Let y(s) = -3*s**2. Calculate y(l(a)).\nAnswer: -1728*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (12\/(-102) - 1542*(-124)\/(-68)) is divided by 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 d, and 1 a when three letters picked without replacement from {z: 2, c: 2, i: 4, d: 2, a: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2259779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - 2*s**4 + 5*s**4)*(0 - 4 + 3 + (-3 + 5 - 1)*(-1 + 2 - 2) - 2 + 1 + 0 - 4 + 0 + 2).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1404114, 2808231, 4212348, 5616465?\n\"Answer: 1404117*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2381 = -47*g + 5562. Calculate the smallest common multiple of 104 and g.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 + 449*f**2 - 24942*f - 2121120 = 0. Calculate f.\nAnswer: -491, -48, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 7:03 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2550 - 2416. What is the remainder when 270 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 10*d**2 + 3*d - 4. Let t(v) = -v**3 + 11*v**2 - 4*v + 6. Determine -3*k(l) - 2*t(l).\nAnswer: -l**3 + 8*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1805 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -174, -150, -126, -102, -78, -54?\n\"Answer: 24*y - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 13*w - 24. Suppose 4*n - 5*d + 28 = 3*n, -59 = 5*n + 2*d. Calculate m(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1156 = 3*l, -4*l - 16*f + 1546 = -11*f. Let n = 389 - l. Solve -v + 4 = -n*v, 2*c = v + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 635*i + 573. Let b be l(-1). Suppose -3*z + 2*z = -24. Let h = z - b. Calculate the remainder when h is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 4, -6, -3 in increasing order.\nAnswer: -34, -6, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - (-86565)\/45)\/((-1)\/(-3)).\nAnswer: 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + 721.261.\nAnswer: 709.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 337*y + 1976. Calculate d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-3))\/(-20)*5\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 13129*g - 15 = -13128*g, -4*g = -4*o - 84 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -212, 5 in decreasing order.\nAnswer: 5, 1, -4, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -271 - -273. Factor 2048 + 106*n + 5*n - n**2 + 3*n**g + 17*n + 0*n**2.\nAnswer: 2*(n + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from vllllvlll?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 - 3*y - 1. Let r be p(-2). Suppose 0 = r*x - 18*x + 30. What is the smallest common multiple of 21 and x?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 782388572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 401, -3, 60 in ascending order.\nAnswer: -3, 60, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 t when three letters picked without replacement from {i: 1, t: 4, a: 2, j: 4, f: 2, x: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 454 (base 7) to base 15\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**3 - 2*o**3 + 0*o**3)*(0 - 5 + 4) + 7*o**3 + 9*o**3 + 0*o**3 - 2*o - o**3 - 9*o**3 - 5*o**3 as z*o + h + g*o**3 + k*o**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdrrxxorxdixdxx. Give prob of sequence oid.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20172 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -302 - -306. Suppose -21*z = -m*z - 2482. List the prime factors of z.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1494, -3488, -5660, -8004, -10514, -13184, -16008, -18980?\nAnswer: -22094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(243) + -1) - sqrt(243)) + sqrt(243))*-3)**2.\nAnswer: -648*sqrt(3) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1881103 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -3, 5, -0.1, -2\/133 in descending order.\nAnswer: 39, 5, -2\/133, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24358 + 24357. Put 0.06, -0.5, -0.03, 2\/3, v in descending order.\nAnswer: 2\/3, 0.06, -0.03, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 1. Let t(z) = 2*z + 3. Let y be 1207\/187 - (-24)\/44. Let p(r) = -2*r - 6. Let o be p(-4). What is o*t(u) + y*i(u)?\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-5 - -14)*3\/(-2).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*j - z - 8, -5*z - 17 = 3*j. Let k(v) be the third derivative of 7*v**4\/24 + 24*v**2 - 9*v - 18. Determine k(j).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1543*q**3*s**3 - 2*q**3*s - 3*q**2*s**2 + 2*q**2 + 5*q*s**3 wrt q?\nAnswer: 9258*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9361383, -18722782, -28084193, -37445616?\nAnswer: -46807051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocxxxcwccux. What is prob of sequence uc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48.193 - -0.193. Let l = a - -46. Is -7 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**3\/6 + 4*q**2 + q. Let k be g(6). Solve m - 4*d + 12 = 0, 4*d = k*m - d + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:08 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2941998 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*o = 958, 5*p + 98 + 1103 = -o. Let v = p - -762. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-12))\/(2\/(-8)). Suppose -4*a = -4, -3*f + x*a + 114 = -0*f. Let h be (-26)\/f - (-142)\/6. Solve -5*n + h = -3*i, -i = i + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 5, -23, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = -p - 4*b, 506*p - 516*p + 23 = b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -138, -144, -154, -168, -186?\n\"Answer: -2*o**2 - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 74*n**2 + 175*n + 209. Determine x(76).\nAnswer: 1957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.1 + -32.41. Let v = 173.69 - n. Let l = v - 172.00000111. Round l to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -19*c**3 + 3*c**2 + 4*c + 2. Let l be h(-2). Suppose -5*s + 49 = -p, -4*p + p - l = -4*s. Let y = p - -76. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*p + 41, -4*p - i + 33 + 4 = 0. Let u = p + -12. Let c be -1*(6\/u + 0). Solve -3*v = -9, -c*r + 5*v = 14 + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 1, j: 1}. What is prob of sequence zaj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9*(-3)\/(-72))*3\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 5. Let c(j) = 8*j - 16. Calculate 16*b(r) + 5*c(r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150 + 159 - 452)*(2 - 5 + 7)*(3*b + 0*b - 2*b)*(3 - 5 + 0) to s + g*b and give g.\nAnswer: 1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182.1107 - -0.4107. Let u = w + 20.7. Let y = u + 161.000389. Round y to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 4, s: 4}. What is prob of picking 1 w and 3 s?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1*sqrt(315) - sqrt(315))\/sqrt(9) + sqrt(2835) + -1*sqrt(2835)))\/((sqrt(448)*-1 - sqrt(28))\/(sqrt(484)*2 + sqrt(484))).\nAnswer: 132*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 1053454\nAnswer: -1053454.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a**2 - 14*a**2 - a + 26 + 35*a**2 + (-2 + 3 + 1)*(3*a**2 + a**2 - 2*a**2) - a**2 + 0*a**2 + 2*a**2 as q + m*a**2 + y*a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/4 (c) -0.035 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 2137\nAnswer: -2137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/20088*31*39?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**2 + 1. Let d(c) = -c**2 + 7*c. Let s be d(7). Let k = 1 - s. Give g(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -0*c + 49. Let q be c\/((-7)\/1737) + -2. Suppose 3*m - q = -2*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13935 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:20 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-77)\/1672*(680\/56 + -13)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/239 + 27127\/2390. Calculate the common denominator of w and -91\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79666898.\nAnswer: 2, 251, 158699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 10. Suppose g*c - 6 = -166. Let y = -22 - c. 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: Three letters picked without replacement from ttttetttttttttztttt. Give prob of picking 1 e and 2 t.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.372 - 0.072. Let k = y + 0.4. Let d = -3.3 + k. What is the second smallest value in 2\/19, -2\/3, d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59444 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -537*b - 2456. What is the tens digit of y(-47)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 - 593479 + 593479 + 15*r**3 + 0*r**3.\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228616*p + 114394*p + 114212*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3431 - -120402?\nAnswer: 111421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -86, -11, 12, -1\/3, -18\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5\/6))\/w*w**(-3) assuming w is positive.\nAnswer: w**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4*h**2 + 3*h - 2. Let b(t) = 5*t**3 - 20*t**2 + 15*t - 9. Let w(k) = k**2 + 2. Let y be w(-3). Let u(l) = y*q(l) - 2*b(l). What is u(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 61, 4.\nAnswer: -3, 4, 8, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 87 = 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnn when three letters picked without replacement from {w: 7, f: 7, n: 2}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/(-23000)*46 - 3\/10)*2\/(-24)?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73865*f**4 - 8602*f**2 + 1.\nAnswer: -1772760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140566 (base 8) to base 7.\nAnswer: -264251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -208 - -207.67. What is i rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**4 + b**3 + 1. Let r(u) = 6*u**4 + u**3 + u + 1. Let q(a) = 2*r(a) - 2*z(a). Find the second derivative of q(d) wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18044, 36744, 55442, 74138, 92832, 111524, 130214?\nAnswer: 148902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/4)\/((-1)\/(-4)). Let i = 899.1 + -899. What is the nearest to -1\/11 in i, s, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 y when three letters picked without replacement from ybyvyybva.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - -476. Let v = g - -254. Does 116 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*w + 10*w + 130. Suppose 4*a - 86 = 34. Let l = a - 13. What is the remainder when l is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1105474 (base 8) to base 3\nAnswer: -120010111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 3. Let u = 162\/229 - 16394\/8931. Let k = u - -6\/13. Which is the second smallest value? (a) k (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.644 - 0.736403?\nAnswer: 46.907597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 295441403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19594 * 9\nAnswer: 176346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -22264.\nAnswer: 45\/22264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 2*d - 103 = 27 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -60 + -34 + 67\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Suppose -2*t = d + 19, -y*d - 19 = 2*t - 4. Let p = t - -124. Calculate the remainder when p is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8 + 0 + 10*i + 1 - 8.\nAnswer: 10*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 0*m**2 + m**2 + (m**2 - 3*m**2 + m**2)*(-1 + 0 + 3) + 5*m**2 - 21*m**2 + m**2 + (-m + m + m)*(3*m - 5*m - 2*m) + 3*m**2 - 5*m**2 + 3*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/399 and 79\/855?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625 is divided by 324.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -46*i + 11. Let p(j) = -23*j + 6. Give -5*p(g) + 3*t(g).\nAnswer: -23*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 61*z - 2 - 2 + 3 - 59*z. Let k be c(9). Is k\/5 + 2\/(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2588 and 0.5.\nAnswer: 2588.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 0.5 (c) 13\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.79 - -1.9. Put 2\/13, r, 0 in decreasing order.\nAnswer: 2\/13, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 21*o**2 + 268*o + 7251. Calculate c(-23).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919987862.\nAnswer: 2, 459993931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -92.62?\nAnswer: 96.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 225396\nAnswer: 2253960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2)*(-6 + 5). Suppose -10 = 61*w - 51*w. Let m be w - 5\/(15\/9). Sort m, -2, q, 2 in decreasing order.\nAnswer: 2, q, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1600 = 2*b, 181*a - 184*a + b = -2416. List the prime factors of a.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 12*m - 27 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 583010 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2446304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 392691.\nAnswer: -1\/130897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 4*k = 5*q + 8*k + 84 - 457, 4*q + 60 = -4*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28916324?\nAnswer: 2, 263, 27487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, -169, 1\/4, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -1\/188 (c) 1 (d) 4 (e) -4.78 (f) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10605 and 909?\nAnswer: 31815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1215 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2. Let n(k) = 864*k**2 - 192*k**2 + 2*k - 19*k**2 - 2*k. What is n(x(a))?\nAnswer: 16325*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5 = -x + 16, -2*w = -5*x + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9.3. Let w = -2.4 + l. Which is the closest to -5? (a) -3\/5 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -90, -0.5, 0 in decreasing order.\nAnswer: 0, -0.5, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1127432 and 2\/140929?\nAnswer: 1127432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 12 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/46 + ((-5730)\/828 - (-6)\/(-36))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*v + 10 + 5\/4*v**2.\nAnswer: 5*(v + 2)*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 61061*a - 5 + 61027*a - 2 to x + d*a and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5481\/21956 - -2\/5489. Factor 5\/4*m**5 + b*m**3 - 2*m**4 + 0 + 0*m + 1\/2*m**2.\nAnswer: m**2*(m - 1)**2*(5*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 15 = 0, 0 = -0*p - 3*p + 4*v + 1419. Suppose 2*c = 1255 - p. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggggggggggi.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 311, 366, 433?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -46. Solve 3*p = 0, 0*n + 4*n + a = 5*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = n - 40, 0 = -n + 4*k - k + 40. Calculate the greatest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 21 - 41 = -4*c, 0 = 3*c + 2*p - 20. Suppose -916 + 340 = -k + 4*a, c*k - a - 2379 = 0. Is 40 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7020351?\nAnswer: 3, 13, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2485 by 407.\nAnswer: 2485\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6*m + 5*l + 17, 0 = -m + l + 4. Let k be (-3)\/(-12) - 41\/(-12). Which is the third biggest value? (a) -3\/7 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 26*u + 2. Let a be f(26). Suppose 0 = x - a*s + 6, 2*x - 2 = -s + 11. Suppose -26 = -3*c + 1. Solve 5*j + x - c = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.1. Let i = -0.001 - -5.001. What is the second biggest value in i, 1\/6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68339 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 4*b**2 - 5*b + 6. Let v be z(-5). Suppose 0 = -x + v*x. Suppose 2*p + 3*i = -x*p + 1, p - 33 = 5*i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 9*r - 11. Let n be y(10). Let m be (-6)\/n - (-12)\/(-28). What is the closest to 0.1 in 0.2, 4\/7, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17352 + 0.07352. Let x = 7 - 9. Let f = x + 6. Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1\/395?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 542.24?\nAnswer: -544.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + q = 484, q + 9 = 13. Calculate the greatest common divisor of 30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(0 + -3 + 1). Let r = -7 + l. Let d be ((-6)\/r)\/(3\/12). Calculate the highest common factor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*f - 2*f + 12 = 0, 3*f + 5 = -4*m. Let d be 2\/(-4)*(m - 73). Let v = d - 14. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + a. Let l be f(3). Let r = -9 - l. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -471*m**3 + 469*m**3 - 2*m**4 + 2*m - 1 - 3*m**4 + 3 in the form c*m**3 + k*m**2 + j + a*m + w*m**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 4*z**2 + 2*z**2 - 3*z**2 - 6*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 3 - -3)*1. Suppose -2*z - 4*i - 24 = f, 5*z - 4*i = 9 + 1. Let t be z\/(-9) - 5588\/36. What is t rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 5 (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 5128?\nAnswer: 5128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 5. Suppose -5*c + 0 = -b*r - 8, -4*r + 4*c = 4. Solve r*f - 7 = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 3, -1, 2, -48964 in descending order.\nAnswer: 4, 3, 2, 0, -1, -48964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*1*2. What is the common denominator of (-3824)\/(-2240) + s\/(-7) and -131\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -3, -35169, 1\/2, -4\/9, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 565938 and 19138?\nAnswer: 3961566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2 = -2*x + 10, 3*x - 11 = q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 154\/(78078\/(-117)) - (-1 - 5\/(-4)) and -21\/5044?\nAnswer: 5044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 765.99?\nAnswer: 766.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1053) + 5)**2 + ((-6*(sqrt(1053) + -1))**2 - sqrt(1053)).\nAnswer: -567*sqrt(13) + 39022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-592)\/(-2960))\/(2\/80)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1944*d - 2*d**2 + 0*d**2 + 1944*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.9 + -29. Which is the closest to -3? (a) 2 (b) -138 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -57*g - 16. Let m be y(5). Let w = m - -664. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**2 - 1\/3*m**3 - 2*m + 0. Let d(p) = 18*p. Give d(h(q)).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52566, -52558, -52544, -52524?\n\"Answer: 3*v**2 - v - 52568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 26*o + 12. Let m be y(6). Suppose 2*q - m = -60. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*w**3\/7 - 15012720*w**2\/7 - 22519026*w\/7 - 8444628\/7.\nAnswer: -2*(w + 469146)*(4*w + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {p: 5, x: 1, w: 3, v: 1, d: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from vipkscip?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -14\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 262332.\nAnswer: 1311660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + ((sqrt(500) - (sqrt(500) + 2)) + sqrt(500))**2 - (sqrt(20) + -3).\nAnswer: -41*sqrt(5) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, h: 5, f: 2}. What is prob of picking 1 f, 1 h, and 2 b?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-105)*140\/(-56)*2\/150*-21\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 378.8185 microseconds?\nAnswer: 0.3788185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434cb (base 13) to base 12.\nAnswer: -5a4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncrr when four letters picked without replacement from {n: 6, c: 4, r: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + 62. What are the prime factors of j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*b - 33. Let f = 16 + b. Calculate the least common multiple of f and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(-1)*(1 + -2). Let k = n - -1. What is the third derivative of -o + 15*o**2 + 5*o**6 + o - k*o**2 wrt o?\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 3*k**4 + 31*k**3 - 10 - 2*k**4 - 28*k**3 as j*k**4 + a + r*k**3 + b*k + m*k**2 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25331239.\nAnswer: 29, 223, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-100)\/(-80) - (-3)\/4. Let m(c) be the second derivative of 1\/6*c**3 - 4*c - 1\/2*c**x + 0. Let n(l) = 1. Calculate m(g) - n(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 11\/90*n**5 + 0*n + 4\/9*n**3 - 1 - 61*n**2 - 23\/72*n**4 - 7\/360*n**6. What is g in z(g) = 0?\nAnswer: 1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8)**(2\/63) assuming l is positive.\nAnswer: l**(16\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.057*3.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 - 350*r + 351 = 0.\nAnswer: -351, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4025 is divided by 192.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 825, 1645, 2465, 3285, 4105, 4925?\n\"Answer: 820*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 476687 divided by -5?\nAnswer: -476687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28479495?\nAnswer: 3, 5, 11, 172603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3847 (base 10) to base 5\nAnswer: -110342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxkx. What is prob of picking 3 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.544 - -0.044. Let g = -320 - -318. What is the fourth smallest value in r, 3, g, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6750 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6) - 597\/(-6). Let t = 79 - x. Let v be -21 + (-2 - -3)*3. Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**4\/5 + 1141*w**3\/5 + 28146*w**2\/5 + 6111*w\/5 - 20898\/5 = 0.\nAnswer: -258, -27, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 68*q**2 - 17*q - 55. Is b(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -25*m + 27*m. Suppose 0 = -m*v + 3 - 0. Sort 3, -2, v in ascending order.\nAnswer: -2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(156) + (sqrt(156) - 1*(-2*sqrt(156) + sqrt(156) - sqrt(156))))*3)\/((2*sqrt(108)*2)\/(sqrt(18)\/sqrt(18))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 2*r**6\/15 - 3*r**5\/10 + 85*r**4\/6 + 312*r. What is the third derivative of u(x) wrt x?\nAnswer: 96*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30998.35 from -0.2.\nAnswer: -30998.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g - 1\/70*g**6 + 1\/392*g**8 + 0 + 2\/735*g**7 + 1\/28*g**4 + 2\/21*g**3 + g**2 - 2\/105*g**5. Suppose d(t) = 0. Calculate t.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3093636 and 20748?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 2602351741?\nAnswer: -2602351746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -736\/7 + 105. Which is smaller: t or 0.09?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/21)*p*p**4*p*p**(-5)*p**(-3\/7)*p**(2\/3)*p*p**(-1\/3)\/p*p\/p**(-2) assuming p is positive.\nAnswer: p**(80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 1?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36018*b**2*f + b**2 - 61*b*f + 4*b + 415896218*f wrt b?\nAnswer: -72036*b*f + 2*b - 61*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:59 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 12*f**2 + 14*f - 17. Suppose -30 = 2*v - 4. Let a be n(v). Is (12\/(-10))\/(2\/a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11907 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*x = -107*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1458 divided by 27\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 435 + -428. Let d(k) = c + 3 + 7*k + 6 - 22 + 8. Calculate d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.51 - 0.39. Let b = -1.4 - 0.6. Let f = z - b. Which is greater: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40591 or -40588?\nAnswer: -40591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from nwtwwwtdvwwddnwndnzw?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -298263.\nAnswer: -19\/298263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2828*n**2 - 17*n - 75. Let q be k(25). Round q to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.1. Let o = -33.7 - -34.2. Which is the nearest to 1\/4? (a) g (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - p = -0*o - 14, o - 3*p = 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3481940 and 280.\nAnswer: 6963880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9517216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:01 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 258?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 37*w**5\/20 - w**4\/12 + 56*w**3 - 51*w + 1. What is the second derivative of b(i) wrt i?\nAnswer: 222*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/11, 2, -32, 784 in descending order.\nAnswer: 784, 2, 2\/11, -0.3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58217787 to the power of 1\/2, to the nearest integer?\nAnswer: 7630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -646 = 7*k - 16. Let l = k - -92. Let u(z) = 5*z - 1. Give u(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 21*z - z - z in the form f*z + y and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 + 4414 = 80263*c - 80125*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let h = 0 + s. Let g be (-3)\/(45\/(-155)) - 9. Which is the nearest to g? (a) h (b) 0.5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(28)\/(sqrt(7) - (sqrt(63) - sqrt(7)))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 164 - 112 = 0. Factor 0 + 1\/3*j**f - 1\/3*j.\nAnswer: j*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*i - 2*s + 12, 2*i = -s - 8. Sort 3, i, 6.\nAnswer: i, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 91, 141, 195, 253?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(325))**2 + 2 + sqrt(468) - 1*((0 + sqrt(13))*-1 + sqrt(13))**2.\nAnswer: -648 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 972 = -105*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1.1, 0.4, 1.65, 0.0199?\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))**(7\/5)\/(g*g**5*g**6) assuming g is positive.\nAnswer: g**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -0.9, -4, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:48 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 541 * -0.5.\nAnswer: -270.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as -1953.93084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/61 - 96\/793. Let u = 5.279 - 0.279. Which is the third smallest value? (a) r (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 - 38374263*p**3 - 2764*p**2 - p + 316 wrt p.\nAnswer: 60*p**2 - 230245578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -364 + 363.5. What is the nearest to -3 in 5, -13, -5\/6, p?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + 1 + 6\/12*-8. Let q(p) = p**3 - 7*p**2 + 7*p + 1. List the prime factors of q(h).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/((n\/(n\/(n\/(n**21\/n))))\/n))\/n)\/(n\/(n*(n*n**(-4\/27))\/n*n*n)))**(3\/5) assuming n is positive.\nAnswer: n**(617\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303\/5 + (-15)\/25.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 0.02561 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*f - 1116*f + 1221 = -556*f for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*c - 4*l, 0 = -5*c + 2*l + 3 - 27. Put -1, 2, c in decreasing order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 15*i**2 + 15*i + 5. Let c = -958 - -972. What is g(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = -6*a + 10*a, 1 = a - 2*b. Let t be 44*7\/56 - a. Let m = -1.04 - -0.04. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 111080*i - 222152.\nAnswer: -2*(i - 55538)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 13. Let s(n) = 6*n + 65. Suppose -4*j = -m - 40, 6*j + 41 = 9*j + 2*m. Calculate j*d(g) + 2*s(g).\nAnswer: g - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209)*2)\/sqrt(11) + -3.\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-8)\/1 - -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 47*q**2\/2 + 15*q + 44. Let l(d) = -95*d - 28. Let r(k) = 5*i(k) + 2*l(k). Is r(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113404 or -113408?\nAnswer: -113404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17237\/21 + -821. Let r = 0.13132 - 0.33132. Is k at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - c5?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 35796?\nAnswer: 35796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 7*p**5\/60 - p**2 + 9*p. Let n(u) be the first derivative of 2*u**2 - 1. Determine s(n(a)).\nAnswer: 112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*d + 216*d + 177*d - 1.\nAnswer: 74*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 22*t + 18860\/3.\nAnswer: -2*(t - 82)*(t + 115)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16881, 33868, 50873, 67902, 84961, 102056, 119193?\n\"Answer: z**3 + 3*z**2 + 16971*z - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 148478.8.\nAnswer: 2078703.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 8*q + 5*q + q + 49, -714*f + 6*q - 62 = -716*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12719 - -12783. What is the highest common divisor of m and 6048?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - 5 - -4) + -4. Suppose -3*a - 4*n = -6*a - 7, 5*n = 3*a + 8. Let j = a - 1. Put -4, j, f in ascending order.\nAnswer: -4, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 536 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 46 (b) -0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let t(d) = 1390389879*d. Determine t(b(n)).\nAnswer: -1390389879*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7958 is divided by 175?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 equal to 5200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 2127*n**2 - 22844*n + 914112.\nAnswer: -(n - 16)*(n + 27)*(n + 2116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, f: 4, j: 1, p: 4, r: 4}. Give prob of picking 1 d and 1 r.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2584 * 9.9\nAnswer: 25581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-24) + 32\/6. Suppose -5*g + 352 = 2*d, -2*g = -p*g + 3*d + 277. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 939\/420 + (-19008)\/8640\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3444 - 3504. Let c = 54.7 - -6.3. Let j = q + c. Are -6\/29 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 7. Let p(x) = 21*x. What is y(p(z))?\nAnswer: 21*z - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 636200 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/25 + m**4\/6 - m**3\/15 - 2*m**2\/5 + 7*m. Solve a(b) = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**2 - b**3 + 5*b**2 + (0 + 3 - 2)*(2 - 3*b**3 - 2) + 3*b**3 - b**3 + 0*b**3 + 2*b**3 + 2*b**3 - 5*b**3 + b**3 - 2*b**3 - 2*b**3 + 4*b.\nAnswer: -6*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6cd8a + 1?\nAnswer: 6cd8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 5, 1.74 in decreasing order.\nAnswer: 5, 2, 1.74, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.100011 to three decimal places.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1098.5*0.4.\nAnswer: 439.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 + 2*s + 1. Determine u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*t + 5. Let l be t + 2\/(4\/14). Suppose -4*a + 3*a - 4*d + 73 = 0, l*a - d - 344 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242868 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518642069 to the power of 1\/4, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164 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 common denominator of 31\/1103190 and 27\/25356655?\nAnswer: 1673539230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uua when three letters picked without replacement from {u: 3, a: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 118, -3\/2, -4, -0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -30) + (-2 - -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)\/((-1)\/2). Solve 3*a + 2 = -x*g, -2*a - a + 3*g = -3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxf when three letters picked without replacement from {c: 2, s: 1, x: 1, f: 1, o: 1, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, 2, 34123\/51 in descending order.\nAnswer: 34123\/51, 2, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -7. List the prime factors of ((-6)\/9)\/(a\/828).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(171) - 1*(sqrt(171) + 1*sqrt(171)))\/sqrt(9) - (-3 + -4*sqrt(171)))**2.\nAnswer: 66*sqrt(19) + 2312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + -44 + 2 + (2 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + (-39)\/78. Find the common denominator of -2 + ((-1356)\/(-1112) - g) and 7\/10.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 875 = 3*n - n, 4*w = -2*n + 854. Let u = n - 209. What is the greatest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579063510 rounded to the nearest 1000000?\nAnswer: 1579000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6131929, 6131928, 6131927, 6131926, 6131925, 6131924?\n\"Answer: -i + 6131930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -338 + 147 + 4*p - 2 - 8 + p**3 as s*p**3 + b*p**2 + i + x*p and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 21*b + 35. Determine s(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {b: 6, q: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 - 169. Calculate the remainder when 52 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -409 (b) 4 (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 1, f: 1}. What is prob of picking 1 e and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1393*o**4 - 9*o**3 - 9*o - 2133. Let y(g) = g**4 + g**3 + g - 6. Let k(z) = -t(z) - 9*y(z). Find the first derivative of k(x) wrt x.\nAnswer: -5608*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6859 + 10753. What are the prime factors of a?\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8691, 0, 5, 1 in increasing order.\nAnswer: 0, 1, 5, 8691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 2*sqrt(363))**2 + (sqrt(3) + sqrt(27)*5)**2 - (-2*(sqrt(243) - (sqrt(243) + sqrt(243)*-3 + sqrt(243)))*-3)**2.\nAnswer: -32637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/15)\/((-61)\/624030*-62).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/108279 and 13\/158046.\nAnswer: 107629326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -x + 3*x + 47, 0 = 3*x + 12. Let r be (1 + 1)\/1*13. Calculate the highest common factor of r and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 414*j + 372*j + 416*j - 110*j + 235*j in the form y*j + q and give y.\nAnswer: 1327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4, 4*y + g - 2 = 14. Suppose -4 = -y*q + 41. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -a - 5. Let y(h) = 3*h**2 - h. What is the smallest common multiple of a and y(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 s when three letters picked without replacement from {d: 2, s: 2, a: 1, f: 1, m: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 - 3*t**4 - t**4)*(-1 - 2 + 2)*(-2 - 4 + 5)*(-2 + 2 - 12*t).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 20*h**3 - 35*h**2 + 31*h + 85. Determine t(2).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 - 227. What is the third biggest value in n, 2\/11, 2, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686775671 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q - 6. Let i(o) = 53*o - 210. Let y be i(4). Let j(g) = 4*g + 5. Determine y*u(x) + 3*j(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f + 9. Is y(-15) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 45 - 15. Let c be (-3)\/9 - i\/(-6). What is the units digit of (16\/(-24))\/(c\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.72 + -0.28. Let j = -0.0296 - 17.6104. Let u = y - j. Round u to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1050, 5, -1, -10 in descending order.\nAnswer: 1050, 5, -1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 91, 95, 99, 103, 107?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(78))\/sqrt(6) + (sqrt(65)\/sqrt(20) + sqrt(13) - sqrt(13)) - (-5 + 2*(3*sqrt(156) + sqrt(156) - sqrt(156))\/sqrt(12)))**2.\nAnswer: -3025\/2 + 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - 3. What is the tens digit of 15 + i\/(6\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.95 + 0.94999957. What is k rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27809004 and 115908.\nAnswer: 8916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(252) + 1)*-1 + (2 + 1 + sqrt(7)*-1)*5.\nAnswer: 17 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.121773 nanograms?\nAnswer: 0.002121773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4386 divided by 731\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1737*c**2*n - 97*n - 2 wrt c?\nAnswer: 3474*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 45*f + 345. Let n be s(-37). Let d be -1*(-14)\/n - (-10)\/308. Is d at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*s**2 + 237\/5 - 238\/5*s = 0. Calculate s.\nAnswer: 1, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 380*t**3 + 1809*t**2 + 2170*t**2 - 3162*t**2 wrt t.\nAnswer: 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/11 + 175*g\/11 + 162500\/11.\nAnswer: -(g - 500)*(g + 325)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -278\/7 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 - 4*r**4 + r**4 + ((2*r**3 - 3*r**3 + 2*r**3)*(4 - 6 + 1) - 4*r**3 + 3*r + 4*r**3 + 2*r**3)*(2*r + 2 - 2).\nAnswer: -r**4 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -40) + (-20 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272 - 933 + 326 - 3*l**2 + 324.\nAnswer: -3*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 - 2804*h**2 - 489996*h + 492804 = 0. What is h?\nAnswer: -351, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - 5957*d - 169391. Calculate w(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -284, -571, -860, -1151, -1444, -1739, -2036?\n\"Answer: -a**2 - 284*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244 - -252. Solve 2*a - s = -0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 564789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 2*x**4)*(-4 + 1 + 1 + (-2 - 1 + 1)*(2 - 1 - 2) - 5 + 3 + 0 - 4 + 1 - 3).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 371.4 and -105564.\nAnswer: -39206469.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = -u, -5*m - 5*u = -m - 9. Let s = m + 23. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/120 + i**3 - i. Let j(z) be the second derivative of w(z). Let n(h) = -9*h. Calculate j(x) + n(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 553?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2387, 5, 9, 3, -6, 238.\nAnswer: -2387, -6, 1, 3, 5, 9, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2\/7 - 16672*n\/7 + 2382 = 0.\nAnswer: -8337, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 2\/7 (b) -0.2 (c) -2 (d) -11\/3 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:23 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 6. Let g(a) be the second derivative of -a**4\/12 - 2*a**3\/3 + 13*a**2\/2 - 3*a. Let n(d) = -56*d + 149*d - 52*d - 4 - 40*d. Give k*g(m) - 7*n(m).\nAnswer: 2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 8. Let h = 5 + k. Let q = -9 - -8. Which is the nearest to q? (a) h (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 33. Let g be w(-9). What is the highest common divisor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/4, 2\/285, -2\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 805*v**2 + 296*v - 288. Determine d(1).\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44354 is divided by 720.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 875\/25) + 325\/15?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 925 - 928. Let c(y) = 3*y**2 + 2*y - 5. Let z(p) = 4*p**2 + 2*p - 5. Let h(n) = -3*c(n) + 2*z(n). What is the units digit of h(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -2145?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -101110101010101000111111 (base 2) to base 3\nAnswer: -212000111220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 0.3 (b) 1 (c) -3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let h be (1 - -8) + 5\/(55\/11). Find the second derivative of -2*n**4 + z*n**4 + 23*n - h*n + 12*n**4 wrt n.\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/41, -2, 3\/8, -7 in descending order.\nAnswer: 3\/8, 0.1, 2\/41, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 3*m**5 - m**3)*(3848 - 1360 - 1110).\nAnswer: 4134*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4)*1468560\/(-522). Is f <= 702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/19))\/(c*c\/c**(-3\/43)*c*c)*c**(7\/4)*c*c\/(c*c**(-25\/4)) assuming c is positive.\nAnswer: c**(4888\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(3606 + 0*s - 3608 + 3*s).\nAnswer: -9*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3588 and 2868?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -62*p - 12*p**2 + 62*p. Let n(c) = -c**2. Give i(n(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.55371 hours to minutes.\nAnswer: 2973.2226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f. Let y be z(-1). Suppose -2*g - 2*v + v = -13, 0 = 4*g - 2*v - 14. Solve k + g*n = -y*k - 20, -2*k - 3*n = 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 13, 33, 61, 97, 141, 193?\n\"Answer: 4*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14812 plus -0.028?\nAnswer: 14811.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*w + 1 = -79, -5*f - 5*w + 210 = 0. Let y = f + -28. Suppose 20 = 2*z - 2*u, -4*u = 5*z - u - 34. What is the greatest common factor of y and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -634, 0.121, -3, 5, 4.\nAnswer: -634, -3, 0.121, 4, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118656683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*j + 492*j + 8 = 0, 2*p + 2*j + 16 = -3*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 - 3*y. Let o(c) = 4*c**2 - 4*c. Suppose 0*v - 3*v + 3*z - 21 = 0, 0 = 5*v - z + 23. Give v*p(l) + 3*o(l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3661462 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1162 - 1162.00727. Round s to four dps.\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 - 1 - 9*n + 10*n - n**4 - n - n as u*n**4 + d*n**2 + q*n + g + v*n**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 41, 67, 99, 137?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1301, -1390, -1441, -1436, -1357, -1186, -905, -496?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*k + 3*y, -12*y + 19 = 5*k - 11*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/576 and 101\/356928.\nAnswer: 1070784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3\/5, 3\/259, 0.3, 1\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 (base 12) in base 4?\nAnswer: -21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5\/(40\/(-48))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, 94, 14, 0.1, 2, -0.55 in decreasing order.\nAnswer: 94, 14, 4, 2, 2\/7, 0.1, -0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 69.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12730 and 91390.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2407.8 to the nearest ten.\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 4929?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 2393*l\/4 + 52923.\nAnswer: (l - 2301)*(l - 92)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17550 = -25*s + 19*s. Suppose 5*f - s = 10*f. What is f rounded to the nearest ten?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from wyyjywywymyjjyjwyjwy?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18231 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**2 - 3*r**2 + 2*r**2 + 10*r**2 - 9*r**6 wrt r.\nAnswer: -1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3310897570.\nAnswer: 2, 5, 331089757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 12*d + 56326, 8*d - 4 = 7*d. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 94622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*p - 8*m + 1, 0 = 222*p - 220*p + 4*m - 1 - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 7)\/((-2)\/(-4)). Let o(u) be the first derivative of u**3\/3 - 28*u + 6. Does 24 divide o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6135814733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084 greater than or equal to 1198831\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, y: 1, l: 1, c: 1, v: 2}. Give prob of sequence fc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 1 + 1)*(4*y**2 - 3*y**2 - 3*y**2) + 69*y**3 + 2612*y - 2612*y.\nAnswer: 67*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.553 + -0.047. Which is the biggest value? (a) -4\/5 (b) x (c) 0.3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 - 156*h + 156*h + (-3*h**4 + h**2 - h**2)*(-h + 0*h + 3*h) + 3*h**5 - 4*h**5 + 3*h**5 + 2*h**5 - 4*h**5 + 7*h**5.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000011 + -211110030?\nAnswer: -212110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*w + 1. Suppose -4*j + w*j - 20 = -4*m, -2*j - 5*m - 29 = 0. Are j and -12 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -9*a - 20872. Let j = -2701 + a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31791113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10300313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 318. Let i(f) be the second derivative of -f**4\/12 + 611*f. Give t(i(x)).\nAnswer: x**2 - 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -177, -232, -37, 540, 1631, 3368, 5883, 9308?\n\"Answer: 22*w**3 - 7*w**2 - 188*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -47.017. Let v = -0.117 + k. Which is bigger: 0.2 or v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 1154*j**3 - 138*j**2 - 5*j - 6076. Find the second derivative of h(c) wrt c.\nAnswer: 6924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 364*r**2 - 332*r**2 - 357*r**2 + 1041*r**2.\nAnswer: -12*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + t**2 + 11*t**2. Let r(c) = 4*c**2. Give r(d(a)).\nAnswer: 256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 4 - (75 + -82).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let i(x) = -x**2 - 9*x + 10. Let l be i(-10). Let r(h) be the first derivative of 2*h**2 - 2*h**2 + l*h**2 - 3 + h**2. Give r(a(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/3 - 21\/9. Let i be 2\/(-9) + -5 + (-150)\/(-27). What is the third biggest value in i, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-12) - 13)*(-2)\/12. Solve z*r + 5 = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12233 take away -0.42501?\nAnswer: 12233.42501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 14*j + 2. What is a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 5:38 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(264\/(-1584))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2 + 6 + 8 + -2 - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 8*h**2 + 4*h + 90. Calculate s(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (360\/65)\/18*(-13)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. Let p = -25 - -41. Suppose 5*n = i + p, n - 2 = 5*i + 2*n. Which is the nearest to -2\/3? (a) 0 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 792 and 484?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56698 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*x + 4*t, -7*x - 5*t = -9*x - 12*t - 27 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2 - 3. Suppose i = 4*d - 1, 2*i - 26 + 23 = 3*d. Let a(j) = 4 + i - 15 + 8 - 2*j. Determine z(a(u)).\nAnswer: 28*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose -2*i + 4*i + 52 = 4*x, 2*x + f*i - 32 = 0. Suppose -3*b + x = -31. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from vyvyvvvyvyyvxf.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(684) - sqrt(684)) + (sqrt(19) + sqrt(57)\/sqrt(3))*-1)**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653608?\nAnswer: 2, 81701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k**4 - 11*k**3 - 15*k**2 + 17*k + 16. Let c(f) = 100*f**4 - 100*f**3 - 135*f**2 + 155*f + 145. Let j(a) = -6*c(a) + 55*r(a). Factor j(u).\nAnswer: 5*(u - 2)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.664 + -0.364. Let m = -15.5 + h. Which is the nearest to -4? (a) -0.4 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 959 - 108. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -529, -1068, -1613, -2164?\n\"Answer: -3*x**2 - 530*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112140 is divided by 7748?\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4) + (-6)\/4. Suppose k = x + 3 - 0. Let g(c) = c**2 - c + 3. Determine g(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1354, 10755, 36214, 85741, 167346?\n\"Answer: 1335*o**3 + 19*o**2 - o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68\/9*x + 2\/9*x**2 - 16.\nAnswer: 2*(x - 36)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3 + 9. Suppose -4*l = -8, -x*c + 2*l - 122 = -3286. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -15. Which is greater: -1\/2 or n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 5 + 22 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270582 (base 13) in base 2?\nAnswer: 11100110010101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p + 2*x - 2470, 2*p - 3*x - 988 = 0. Suppose -4*m - 2*a = -1194, m + a = 185 + 114. Suppose 5*h - c = p, 2*h - m = -h + c. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 125\/(-10))*10\/(-30)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m + 3*m + 93 - 52 - 5*m. Let s be f(20). Is (s\/3)\/((-5)\/(-2985)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 4*h - 215. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*x + 27, 77*x + 13 = 75*x + 5*p for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3051*b**2 - 1206*b**4 + 3*b + 1204*b**4 - 4*b - 415*b**2 to the form r + g*b**2 + z*b + x*b**3 + l*b**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s - 156. Let d(k) = -18*k**3 - 20*k**2 + 18*k + 3. Let h be d(1). Give y(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 3, b: 3}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/51*(-1440)\/64.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/15)\/(5815\/100 + -58).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/52 and -25\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 110 = -5*g - 2*x, 5*g + 2*x = 124 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 126, 348, 646, 1014, 1446, 1936?\nAnswer: 2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2280 and 70?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by 6.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5241 = 4*q - u, 5*q = 5*u + 8138 - 1598. Let b = q - 471. Is 30 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1761 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4*x + 6 + 0 - 12.\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 4:43 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -70. Let g = -28 - i. Solve 0 = 5*x - 5*p - 20, -g*x - 2*x = -3*p - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 42?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-21))\/((-1)\/(-2))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/8)\/((-18)\/140). Let r = -6 - q. Let a be 43\/(-387) - (-62)\/234. What is the nearest to -0.1 in -5, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 17 - 15. Suppose 6*y + l = 4*y + 53, 4*y - 112 = -v*l. Let z(o) = y*o - 17*o - 10*o. Let j(r) = -3*r**2. Give z(j(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29, -16, 7, 40?\n\"Answer: 5*r**2 - 2*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*w + 24, 3*u + 2 = -w - u. Let j(d) = -1920*d + 5786*d + 11 + 3 - 1942*d - 1923*d. Calculate j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49, 80, 133, 208, 305, 424?\n\"Answer: 11*m**2 - 2*m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2. Let f(b) = 12*b**2 - b - 1. Suppose 17*w + 6 + 28 = 0. Calculate w*f(j) + 22*a(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n - 4. Let z be u(4). Let l = 2677 + -24091\/9. What is the closest to z in l, -3, -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from ourja.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 104901972 divided by 17483662\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6622 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18511\/14 - 1319. Let n be (30\/25)\/(1\/(-5)). Calculate the common denominator of z and (-2)\/n - (-68)\/(-16).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, o: 3}. What is prob of picking 3 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(7\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 269, 0.5, 78?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = w - 10*n + 2, -63665*w + 4*n + 6 = -63668*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**3 + 144*f**2 + 79*f + 412. Is y(-65) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6408124488.\nAnswer: 2, 3, 9889081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65805 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 1, e: 2, c: 1, k: 1}. What is prob of sequence ekez?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g - 3*g - 56. Let f = 0.6 - 5.6. Let y = 5.5 + f. Sort y, g, -0.4 in increasing order.\nAnswer: g, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (3 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183\/1067 + 1\/97. Suppose -h = -4*d + 3*d - 6, 5*h + d - 18 = 0. What is the closest to 0.3 in h, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 69. Let u be (8\/p*12)\/(4\/666). Suppose 0 = -5*d + 802 - u. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 1 - 2*f + 2 + 3*f. Give a(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32020)\/(-3) + 19\/(-57) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2 + 2347. Let f be b(0). Suppose 0 = -5*x + 4*z - 2833 - f, z + 1045 = -x. Round x to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(864)*-2)\/((-4*sqrt(128) - sqrt(128))*2).\nAnswer: 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15986*y + 16036*y - 1050. Let a be 2\/28 - (-3)\/(-6). Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*j, 5*j = 5*t + j - 35. Let m be ((-4 - 0) + t)*(-5)\/(-1). What are the prime factors of m\/2*(-528)\/40?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*u**5 + 21*u**4 - 602*u**3 - 7906295*u**2.\nAnswer: -1380*u**2 + 504*u - 3612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29 + 636 - 1*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5807623.1 - -31121\nAnswer: 5838744.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 8*p + 42 = 0. Let z = p - -13. Let k(h) = -h**3 - 5*h**2 + 7*h - 1. Let l(b) = b**2 - b. Let c(x) = z*k(x) - 5*l(x). Calculate c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1056\/(-1848))\/(2\/(-105))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 40*w + 149*w - 2*w**2 - 48*w - 49*w to r + u*w**2 + s*w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/((-3 + 1)\/(-2)). Let g be 16\/(-40) + i\/(-5). Suppose -a - g*a = -240. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(936))\/sqrt(2))**2 + ((sqrt(39)\/(sqrt(3) - (sqrt(27) + sqrt(3))))**2 - ((sqrt(13) + -1 - sqrt(13)) + -2)**2).\nAnswer: 37840\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 - -5. What is the second smallest value in 1\/3, 3, 0.3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82622536 and 9284?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67448.\nAnswer: 2, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 5*r**2 - 2*r - 7. Let j be c(-5). Suppose -x = j, -z + 3*x + 4 = -16. Calculate the remainder when 30 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + 0*z - 2*z)*(0*z + 3*z - 4*z - 3*z + 2*z - z + (-2 + 2 + z)*(-3 + 2 + 0) - 1 + z + 1 + 2*z - z + z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z**3 - z**2 - 3*z + 5. What is x(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 20. Suppose -2*n = -n - x. Let v be (3\/(-4))\/(n\/(-20)). Solve 0 = -a + 8 - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 3*s - 2*s + 4*s - 3*s - 3*s + (-3 + 1 + 0)*(-3*s + 2*s + 3*s) + 1090 + 116*s - 1090 to the form x*s + w and give x.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 - -4174\/29. Let y be (2 - 12)\/(1 + -3). Let h be 10\/25*y\/(-7). Which is the second smallest value? (a) h (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1098 to the nearest 10.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77238 or 77239?\nAnswer: 77239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-6) + (-2)\/3. Determine u, given that 3\/2*u**2 + q - 2*u = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 18. List the prime factors of y(37).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1445115, 9\/4 in decreasing order.\nAnswer: 1445115, 9\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3879266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231000 - 20002?\nAnswer: -311002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120230844919 take away -12?\nAnswer: 12.120230844919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -11. Put p, -5, -6, 3 in decreasing order.\nAnswer: 3, p, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -4*v + g, -2*g + 7*g = -3*v - 195. Let h = v - -127. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/788 and 119\/1670.\nAnswer: 657980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -288829?\nAnswer: -288829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by -34\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3)*d*d**(6\/5)\/d*((d\/d**(-1\/6)*d)\/d)\/d**(2\/29))**(-2\/23))**32 assuming d is positive.\nAnswer: d**(-8288\/10005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 2, 8, 5.\nAnswer: -13, -1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160300375 to the power of 1\/2, to the nearest integer?\nAnswer: 12661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 5*n + 6. Let m be u(-4). Let h(y) = y**2 + 0*y**m + y**2. Let i(l) = -552*l - 28*l**2 + 552*l + 29*l**2. What is h(i(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66999\/22 + 3048. What is the common denominator of w and 3\/(-20)*-404*4\/24?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -539\/5 or -26?\nAnswer: -539\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27953172 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -34) + (-7)\/((-28)\/60)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16 + 0.06. Let m = -439\/740 - 1\/148. What is the nearest to m in 2, -3\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5924 or 117?\nAnswer: -5924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 703 - 704. Which is the nearest to -1\/5? (a) -43 (b) -1\/5 (c) 4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805521.8 nanoseconds in microseconds?\nAnswer: 805.5218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73.1 - -73. Let h(i) = i**3 + 6*i**2 - i - 7. Let s be h(-6). What is the biggest value in t, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 31. Let a be v(15). Let u be -34*5*a\/2. What is the greatest common divisor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(20 + (-2652)\/136).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/7 >= -2243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 148, 164, 172, 166, 140, 88, 4?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s**2 + 8*s + 99. Determine f(-6).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 702283964 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v = 92*v + 17*v - 1250 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 455 + -214. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/17 + 288078*r\/17 + 576148\/17.\nAnswer: 2*(r + 2)*(r + 144037)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s + 3375 = -1296 - 9433. Calculate the smallest common multiple of 1849 and s.\nAnswer: 14792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 75806.\nAnswer: -4548.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, w: 17}. Give prob of picking 2 g and 1 w.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 10*w + 2. Let s be u(10). Let n be (-9)\/(-12) + s\/8. Let b be (-4)\/(-10)*(2 - 1). Which is greater: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 8 = -3*q, -4*y = -4*q - 0*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2498 and 2029.\nAnswer: -506.8442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17671222.\nAnswer: 2, 23, 384157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94912 and 83048.\nAnswer: 664384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*i - 111*i - 248*i)*(2*i + 2*i - 5*i + 3*i).\nAnswer: -942*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10\/113?\nAnswer: 10\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z. Let l(y) = 12*y**4 - y**3 - 12*y**2 - 9*y. Let q(x) = 5*b(x) + l(x). Let q(t) = 0. What is t?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3889 divided by 1142.\nAnswer: 3889\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2.441?\nAnswer: -3.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*d**3*k**2 - 11*d**3*k - 5*d**3 + 11*d**2 + k**5 wrt k?\nAnswer: -60*d**3 + 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9602*w**4 + 6365*w - 8. Let d(v) = 6401*v**4 + 4243*v - 5. Let i(x) = 8*d(x) - 5*t(x). Find the second derivative of i(c) wrt c.\nAnswer: 38376*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by 58.\nAnswer: -109\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + -0.0248.\nAnswer: -12.0248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -1)**2*-1*-5.\nAnswer: -100*sqrt(13) + 6505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529, -406, -201, 86, 455, 906, 1439?\nAnswer: 2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 = 16. Let x(w) = -w**2 - w + 2. Let l be x(0). Find the third derivative of n**6 + 0*n**l - 2*n**2 + n**a wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l + 2. Let q be g(5). Suppose 0 = -3*n + 4*x + 17, 2*n + 2*x - 3*x = 8. Suppose -4*v + 7 = n. Sort -2, q, v in decreasing order.\nAnswer: q, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 10*k**2 + 12*k + 10. Let i be g(-8). Let q(b) = -b**3 + 13*b**2 + 20*b. Let f be q(14). Calculate the greatest common factor of i and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863365 = -74*c - 2*c + 14891. List the prime factors of c.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiiwwwwiiwwiinwwwi. Give prob of picking 2 i and 1 n.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 102533.150147.\nAnswer: -102533.090147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 77\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/594*4\/10.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29730.\nAnswer: 2, 3, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 181*s**2 + 5 - 66*s + 127*s**2 + 60*s. Is c(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28033849 to the power of 1\/2, to the nearest integer?\nAnswer: 5295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1 - 13*b - 11*b - 2 + 25*b. Calculate a(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sifsifisiiisf. Give prob of picking 2 i and 1 f.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40670 is divided by 73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*u = 7, -11*v + 31 = -7*v - u. Suppose 5*r + 2*l - 38 - 25 = 0, 0 = r - 3*l + 1. What is the lowest common multiple of v and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 130, 526, 1178, 2080, 3226?\n\"Answer: -w**3 + 134*w**2 + w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 2\/71, 28.7 in descending order.\nAnswer: 28.7, 0.09, 2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(98\/7)*-42*(-18)\/11529?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*q**2 - 10*q - 94*q**2 + 1 + 11*q - 97*q**2 + 1 to h*q**2 + b + n*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1858907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 99198\/(-18036) - 26\/4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.1 - -63.8. Let i = 42 - q. Is -0.1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.246836 and 3.\nAnswer: 0.740508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 45*w. Let i(j) = 16*j - 30 + j - 16*j + 0*j + 0*j. What is t(i(h))?\nAnswer: 45*h - 1350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/3)\/(8\/(-6)))\/(100*(-382)\/8098400)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a gram in milligrams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -56470 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/15)\/(4\/10). Suppose -i*k + 25 = -k. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (287\/(-3))\/(1\/(-3)) is divided by (-214)\/(-9) + 122\/549.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.8 - -10.8. Let t = 75 + -74.9. Which is the closest to t? (a) 0.1 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106329079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2. Let z(y) = y + 1972. Calculate n(z(o)).\nAnswer: -5*o**2 - 19720*o - 19443920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 16, 44, 92, 166, 272, 416, 604?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(165)\/sqrt(5) - sqrt(33))\/sqrt(2700).\nAnswer: -2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12232698?\nAnswer: 2, 3, 2038783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(153) + sqrt(153) - (sqrt(153) + 3)*-1)**2 + -5.\nAnswer: -18*sqrt(17) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:19 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -0*g. Find the third derivative of -5 - 12*m**g - 2*m**2 + 9 - 31 - 42*m**3 wrt m.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2.2, 2\/3, 6, 1\/29, -1.8 in descending order.\nAnswer: 6, 2.2, 2\/3, 1\/29, 0, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 181\/110?\nAnswer: 181\/110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**4\/12 + 10*g**3\/3 + g**2\/2 + 8*g. Let v be k(-10). Let f = 182 + v. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/120 + g**5\/60 + 5*g**3\/3 - g**2. Let w be -1 - (-2)\/1 - 1. Calculate the lowest common multiple of r(w) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 2, l: 7}. Give prob of sequence pi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 5. Let h be (-4)\/6 + 57\/(-9). Let l be f(h). Suppose l = 2*d - 0*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-224)*42 + (24 + -1)\/(-1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 205370121.\nAnswer: -821480484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s + 4. What is the tens digit of w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -28*z**2 - 6. Let n be (-1 - -2)*12\/(-8)*4. Let p(k) = 29*k**2 + 5. Give n*p(t) - 5*u(t).\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-9) - 0)*30\/(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 2*n**3 - 34 + 62 + 11*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-14))\/(33\/(-6)). Let f be 4*((-3865)\/(-3870) - 1). Let v = 3082\/2709 - f. Which is the smallest value? (a) v (b) n (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {s: 2, a: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 834 - 752. Calculate the remainder when 655 is divided by b.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38589 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 9?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yth when three letters picked without replacement from {h: 1, q: 1, y: 1, o: 1, w: 2, t: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*z + z**3 + 70*z + 193 - 193.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 4484.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1864 - 771 = 5*x, -4*a = -28. What is x rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjhiwwwwhikfkw. What is prob of sequence wkkh?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 829*s - 945*s - 1624 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1560 and 360.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.24, -43, 5, -1\/3, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159370953?\nAnswer: 3, 7, 1021, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 217*z + 3724. What is the remainder when 87 is divided by g(-17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*c - 25, 0 = 11*f - 13*f + c + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887845408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6404?\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 49*j**2 + 177*j - 201. Is l(53) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1032 (base 4) to base 15\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 492 = 112. Suppose 78*t - 254 = l*t. What are the prime factors of t?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m**2 - 281*m + 19318. Let b(w) = -5*w**2 + w + 1. Let g(k) = -6*b(k) - 2*t(k). Find y such that g(y) = 0.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/360*-8)\/((-3)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6869152 rounded to 2 dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 - r**2 - 8*r + 9. Give h(3).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from oiiiioioii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/((x\/x**1*x)\/x)))**(4\/11)*(x**(-1\/3))**(-11\/7))**(-15) assuming x is positive.\nAnswer: x**(-185\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 27 - 11. Let m = t + 4. Suppose c + 0*f = -f, m = 3*c - 3*f. Solve c*b = b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*g - 9 = 95*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1587 and 153387.\nAnswer: 3527901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*s - 25 - 29 = 0, 3*r - s = 46. What is the third derivative of 24*u**4 - 60*u**2 - r*u - 21*u + 37*u wrt u?\nAnswer: 576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 - 1. Let u(n) = -2*n**3 - 2. What is -3*h(f) + 2*u(f)?\nAnswer: 5*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -224.2 (c) 1\/46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/2 + 4869*f\/2 + 7299 = 0. What is f?\nAnswer: -4866, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(36\/80)*-3. Let h = i - -28. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 825*q - 37. What is the hundreds digit of j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*k + 156 = 0, 0 = z + 5*k + 22 - 65. Solve z*p = 40*p + 84 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 3, b: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Factor -f**2 + 2*f - 2*f + 520*f**3 - 521*f**i.\nAnswer: -f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1526629308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 297.7270216?\nAnswer: -283.7270216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 3, x: 6, d: 4, c: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 + -1)) + 27 - (-663 + 666).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * -20488.\nAnswer: -799032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6\/m**(-3\/10))**(1\/3)*((m*m\/((m\/(m*m**(-1\/4)))\/m)*m)**12)**38 assuming m is positive.\nAnswer: m**(17121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000774 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.109558 to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.487912 centuries in months?\nAnswer: 585.4944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37656447 and 7104990.\nAnswer: 376564470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040164096 rounded to 5 dps?\nAnswer: -0.04016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.861 (b) -2\/3 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/(-70) + 0)*-5. Let u(m) = m**2 + m - 1. Let w(k) = -3*k**2 - 1. Determine i*w(v) - 2*u(v).\nAnswer: v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o = -10912 + 11464 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*v - v - 1100 = 0, 2*r - 440 = -v. Suppose 2*c = -9*c + r. Solve 2*f = -3*f + c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127 * -5.\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 39 = -3*z, 0 = -5*s - 2*z + 47 + 2. Let o be (-102)\/(-459) - ((-4054)\/s)\/(-2). Let x be 56\/6*o\/6. Round x to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5. Let b = j + -4. Sort 0.2, -0.1, b in ascending order.\nAnswer: b, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6 + t + 4 - 2. Let p be a(-6). Suppose p*v + 2*f + 100 = 6*v, -2*f = -v + 28. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10295 + -4?\nAnswer: -10299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4 + 4)*(1 + 0*q**4 + 0 - q**4).\nAnswer: q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8406684 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-6*(sqrt(343) + 1) + (sqrt(343) - (-1 + sqrt(343) + sqrt(343) - sqrt(343)))*-1)**2 - (sqrt(343)*2 + 3)*-1).\nAnswer: 602*sqrt(7) + 12399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 43 (c) -0.2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 minus -4?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110001011100011000010 (base 2) to base 8\nAnswer: 6134302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-2)*(-8)\/(-6) + 399\/84?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395132855.\nAnswer: 5, 479026571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5025989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -118*l**2 + 29819*l + 183169. Determine c(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -10 + 23 + 66\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 7*f + 5*f)*(-5*f**2 - 2*f**2 + 0*f**3 - f**3).\nAnswer: -10*f**4 - 70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/25)\/(-9*((-16)\/60)\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6690883 bigger than 6690882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-14)\/4)*6\/4. Put c, 2, 0, -2 in ascending order.\nAnswer: c, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times -0.048?\nAnswer: -3.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 8)*(3 - 1 + 0)*(-2 + 0 + 3 + (2 - 2 - 2)*(0 - 1 + 2))*(3*f**2 - 3*f**2 + f**3)*(2 - 3 + 4).\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -4 (b) 0 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147600 and 13400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -30 - 10 - (-3 - -58)) + 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 11877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19116 is divided by 1911.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2467*b**3 - 1. Let o(v) = -3702*v**3 + 2. Give 5*o(s) + 8*p(s).\nAnswer: 1226*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 8\/199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7 (b) -0.2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 19*w - 4*w)*(-2 - 1 + 2).\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/2 - 101*q**3 + 8453*q**2\/2 - 40756*q - 99234 = 0. Calculate q.\nAnswer: -2, 18, 37, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 p when four letters picked without replacement from {p: 15, h: 3, e: 2}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(125).\nAnswer: -2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -72. Let w be (-4)\/a + 21\/539. Suppose -5*o - q - 7 - 3 = 0, 5*o + 4*q + 10 = 0. Sort 3\/4, w, o.\nAnswer: o, w, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 463 * 43.\nAnswer: 19909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.1, 40?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447*f**4 + 30153*f**3 - 19224743*f**2?\nAnswer: -10728*f + 180918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*x = -17*x + 300 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, a: 1, z: 1, i: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 9:21 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 146526894 a multiple of 1990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 21?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 16 - -5 - (-2 + -3) - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 2. Let g(j) = 2*j**3 + 1. Suppose 4*x - 2*x - 37 = 5*y, -3*x = 3*y - 3. Let t(s) = x*g(s) + 5*u(s). Differentiate t(m) with respect to m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1344*z + 1330*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -31*g - 129. Let j be n(-9). Calculate the greatest common divisor of j and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 2*n**2 - 2*n - 1. Let q be i(-2). Suppose 15 = q*j + 5*s, 5*j - 9 = -s - 2*s. Suppose j = 3*g + 4 - 13. Which is smaller: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 21\/20*l**5 + 6 + 37\/4*l**4 + 5*l**3 + 0*l**2 + 2*l. Suppose x(m) = 0. Calculate m.\nAnswer: -5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684752 minus -340708268?\nAnswer: 341393020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100010000010 (base 2) in base 16?\nAnswer: 3882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3. Let w(x) = x**3. Suppose 0 = 2*s - 5 + 11. Determine s*y(m) - 4*w(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 50*c - 280 - 47. Solve 0 = x - 1, -5*t - x - 4 = -c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -199*z**2 + 637*z**2 - 6*z**3 + 3*z**3 + 14*z**3 as s*z**3 + c + v*z + h*z**2 and give h.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b - 26. Let t(h) = 9*h + 50. Determine -5*k(z) - 2*t(z).\nAnswer: 2*z + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x - 4. Suppose 10*c = 15*c - 10. Let l be (-14)\/(-49)*c\/(-20). Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 4*s - 13, -3*j - 10 + 17 = -s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 11*d**2 + 25*d - 9. Let w be h(-13). Solve -3*l + 3*m = -21, -2*l + 1 = -w*l - 3*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2562 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9737759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -1545752?\nAnswer: -47\/1545752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 3)*1\/(-2). Suppose 2*t + r*t - 6 = 0. Suppose c = 4*v + 9, -t*c + 6*c = 2*v + 27. Calculate the remainder when 26 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) 0.13 (d) -5 (e) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11357 and 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32448 and 729066.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 32 = -5*z, -4*z + 117 = 4*d + 149 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * 86935.\nAnswer: 26949.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 3d22?\nAnswer: -3d1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/14307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d (base 14) in base 9?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83674, 167251, 250828, 334405?\n\"Answer: 83577*r + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhqjjjjqj. What is prob of picking 2 j and 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -158306*i - 1899669. Calculate v(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 + s**2 - 7*s + 3. Let p(b) = 2*b**3 + 4*b - 2. What is -4*d(o) - 7*p(o)?\nAnswer: -2*o**3 - 4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 36*x - 4. Let p(n) = 38*n - 2. Determine -4*p(o) + 3*q(o).\nAnswer: -44*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:59 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*g + 17605, 0 = 21*g - 17*g - 8. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22210 - 2?\nAnswer: -22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2. Let j be f(-3). What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v - 5198 = 0. Let j = v + 13048\/5. Calculate the common denominator of -3*(-320)\/135 + 1 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4 + -4)\/(-4))\/(-1). Suppose i + h - 42095 = j, -3*i - 4*h + 15084 + 111196 = 0. What is i rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 671*a**2 - 11 + 2 + 17.\nAnswer: -671*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 + 1) - (5 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -118221, 8\/7, 2\/15?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*55\/10)\/((-6)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2065 is divided by 89?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(5 + (0 - 4)). Let k(i) = 79*i**2 + i + 2. Does 20 divide k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34726, 69597, 104500, 139435, 174402, 209401?\n\"Answer: 16*o**2 + 34823*o - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49532 is divided by 15975?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 1011\nAnswer: 10\/1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 60 = -3*s. Suppose 4*p - s = 0, 4*p = 2*u + u + 9. Let l = -6 + 1. Which is the nearest to l? (a) 4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257\/1197 - 1\/133. Let v be (-5)\/(4\/((-4)\/9)). Let f = s + v. What is the nearest to 1\/4 in -5, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*(-32)\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 - 3*q + 2. What is the lowest common multiple of n(2) and (-4)\/2 + 13\/(13\/18)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 15, 2\/3, 8.4.\nAnswer: -3, -0.2, 2\/3, 8.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -0.1, -0.183, 0?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 11473?\nAnswer: 34419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 36 = 4*l, -14 = -l + 4*d - 5. Suppose -l*g = -6*g + 279. Let x = g - -158. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 - (2 - -1). Let b be j + 3 - 8082488*2. Let z = 2964974 + b. What is z rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.9*-0.32\nAnswer: 2.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttdttd. What is prob of picking 4 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51725 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/3 - 14*o**4 + 92*o**3 - 596*o**2\/3 + 174*o - 54.\nAnswer: 2*(o - 9)**2*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(112) + 0 + sqrt(112)) + 1 + 5)**2 + (6*(sqrt(252) + 1)*5)**2.\nAnswer: 10896*sqrt(7) + 228184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 160*(-3)\/(15\/(-4)). Suppose -3*g + 4*g = -5*k + 154, 2*g = -4*k + h. What is the highest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 84, 18*l + 21*l - 204 + 532 = 5*h - 516 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 1.\nAnswer: -4, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104816*z**2 + 163885*z wrt z.\nAnswer: 209632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 183150 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 -4*q = -2 + 6. Let n(w) be the first derivative of 3*w**4\/4 - w**2 - w - 2. Let p be n(q). Is p > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -183. Calculate the remainder when x is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -41628.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155869 (base 10) to base 8.\nAnswer: -4321435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 21 = -5*l - 32*v, v - 19 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 4*z + 445 = 822 + 796 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2814080389.\nAnswer: 83, 33904583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 151*u**2 + 2374*u**2 - 189*u**2 - 462*u**2 + 2542*u**2 to b + m*u + w*u**2 and give w.\nAnswer: 4114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 2. Let o = g + 6. Which is the third smallest value? (a) -1\/2 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34003 - 5?\nAnswer: -34008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11795430 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695564?\nAnswer: 2, 173891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 7:32 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 59, 99, 139, 179?\n\"Answer: 40*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. Let w = -0.5 - 0.5. Which is the second biggest value? (a) w (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4.4 (c) 1\/2 (d) -2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20807057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*c - 6, -f + 1 = -c - 3. Let u = c - -2. What is the tens digit of ((-75)\/20)\/(1\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*z - 19*z**4 + z**2 + 17*z**4 - 5*z**3 + 23*z as m*z + c*z**2 + b + s*z**3 + w*z**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -1050.\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 5*b - 50. Suppose 4*v = 3 + b, -n = -3*v. Calculate the greatest common factor of 27 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32.871 and -20?\nAnswer: 657.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/440 and 41\/20.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(-41) assuming k is positive.\nAnswer: k**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21417 + -21411. Let o(w) = -5*w**3 - 2*w**2 - 7*w. Let p(l) be the third derivative of -l**6\/30 - l**5\/30 - l**4\/4 + 2*l**2. What is t*o(k) - 7*p(k)?\nAnswer: -2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*g - 15 = 0, -3*g = -0 - 15. Let p be (z - -57)\/(21\/16). Let v = -1041\/28 + p. Calculate the common denominator of -38 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4*-2*106\/4)\/((-435)\/(-290)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**3 - 383*y**2 - 479*y + 115. Give c(97).\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 73, 89, 137, 235, 401, 653, 1009?\n\"Answer: 3*g**3 - 2*g**2 + g + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -3983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*s - 600, 5*s - 4*p - 753 = 249. Let u be s\/55 + (-9)\/15. Let d(j) = j - 2. Give d(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -18*f**2 + 144*f + 916. Let s(j) = -2*j**2 + 16*j + 102. Let q(k) = -3*r(k) + 26*s(k). Factor q(o).\nAnswer: 2*(o - 12)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**6\/450 - h**5\/150 - 5*h**3\/3 + 13. Let d(n) be the third derivative of p(n). Suppose d(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 = l + 3*v, -5*l - 5*v = 5. What is the common denominator of 2 - (46\/9 - l) and (10200\/130)\/(-12)*15\/25?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -83. What is the remainder when 34 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60297*d**5 - 44978*d**2 wrt d?\nAnswer: 3617820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1044800921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from isssssisisss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**3 + x**2 + 5. Let n(u) = -u**3 + 1 - 43*u + 80*u - 37*u. What is 4*n(g) - q(g)?\nAnswer: g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8002795 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63702, -63712, -63722, -63732, -63742, -63752?\nAnswer: -63762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:33 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6868*g + 5*b - 1 = 6867*g, -1 = -g + 2*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -456234.6+75\nAnswer: -456159.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 8*b + 1. Suppose 5*m - 64 - 111 = 0. Suppose 289*y = 284*y + m. What is q(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 35101*x - 17552*x + 3 - 17546*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 3, -0.2, 0.031, 1.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 21 = -261*t + 262*t, -t + 4*s = -11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 11*u**2 - 12*u - 9. Let q be p(-10). Let n = 21\/2 - q. Let d = -0.4 - -0.3. Which is the nearest to n? (a) -2\/9 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:45 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13074398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 7) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = -16*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:04 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 2*i**2 - i - 2. Let z(g) = 4766*g**3 - 9536*g**3 + 4771*g**3 + 1 + g. Calculate -n(k) - z(k).\nAnswer: k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.466?\nAnswer: -0.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-60))\/(3\/15)*4\/(-32)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 197005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 31\/7 (c) 0.052 (d) 1218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**3\/3 + 12*w**2 + 34*w + 34. Is 40 a factor of k(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcz when three letters picked without replacement from {z: 1, n: 4, c: 4, j: 1, x: 7, o: 1}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000878506 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 23*j**2 - j + 1. Let q be t(-1). Let x = q + -25. Factor 35*z**2 + x*z + 5*z + 25*z**3 + 5*z.\nAnswer: 5*z*(z + 1)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 6*h**2 + 1231*h + 4945. Calculate t(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-5)\/(-30)*3)\/((-2)\/(-25)) and 2\/3 - 317\/30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*n - j, -4*j = -4*n - 0*n + 96. What is the tens digit of 0 - (3 + -4)*n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53861183.\nAnswer: 53861183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19308516?\nAnswer: 2, 3, 1609043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296531, -593017, -889501, -1185983?\nAnswer: -1482463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3))**(-31)\/(((m**(-2)*m)\/m)\/((m*m*m*m**(1\/2))\/m)) assuming m is positive.\nAnswer: m**(275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220\/3036)\/(75\/90)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/3 and -92\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(228)\/(-3*1*sqrt(12)))**2.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, -13, -11, -7, -1, 7?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**3*n - 74670393*g**2*n**2 - 888031608*n**2 with respect to g.\nAnswer: -15*g**2*n - 149340786*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**2 - 172*m + 301 wrt m?\nAnswer: -2*m - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**4*z**2 - 12*p**4*z - 2*p**3 - 3*p**2*z**2 - 5*p**2*z + z**2 wrt p.\nAnswer: 96*p*z**2 - 288*p*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 4\/7, -3, 2\/19?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1124)\/8430)\/(13\/(-45))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 919 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.421813 microseconds in days?\nAnswer: 0.0000000000974746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from jjtrrdrtr.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3131894, -6263804, -9395722, -12527654, -15659606, -18791584?\nAnswer: -21923594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 39. Let m = c - 10. Let l(i) = 3 - 2 - 7*i + 2*i + m*i. Determine l(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -167, -2 in descending order.\nAnswer: 5, 4, -2, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 56 = 5*n, 0 = 2*n - 0*z - z - 23. Let v(y) = -2*y**2 + 18*y + 33. Let g be v(n). Solve -3*l + j - g = 0, 5*l + 2*j = -5 - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + p + 2*p)*(-2 + 0 + 3) + p + 4*p - 6*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 17151, 2, -1 in decreasing order.\nAnswer: 17151, 133, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3371*v**2 - 12*v - 4. Let p(o) = 623637*o**2 - 2223*o - 741. Let c(a) = -741*d(a) + 4*p(a). Let f(s) = -2*s. Determine f(c(m)).\nAnswer: 6726*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) - (473\/44 + -11). Suppose 3*z - 5*l - 1964 = m, -2*z + l + 1948 = z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 39. Let o = 18770 - 18742. What is the highest common factor of s and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0, -0.499, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 867*q**2\/2 + 2121*q + 2556.\nAnswer: 3*(q - 284)*(q - 6)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2 - 56*v + 26. Let x be p(9). Let l = 13 + -9. Suppose x = a - l. Solve -d - a = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n*n\/(n**(-2\/5)*n))\/n)\/n))\/n**(1\/4))\/(n**(-4)*n\/((n\/(n*n**(5\/4)*n))\/n)) assuming n is positive.\nAnswer: n**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from lqlq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {i: 14, l: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.3. Let f = -0.04673 + 0.02673. Which is the closest to f? (a) -0.5 (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -7561 in decreasing order.\nAnswer: 10, -2, -7561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 4*q + 3. Let s be h(3). Let d be -1 + s + (-3)\/(-12). Let m = 1.03 - 0.03. Put -0.5, m, d in increasing order.\nAnswer: d, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -917, -920, -923, -926, -929, -932?\n\"Answer: -3*g - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1449 + 1449.5. Which is the nearest to 0.3? (a) 1 (b) 17 (c) -4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus 323348044972?\nAnswer: 323348044983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + -2 - (-3 + 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-603)\/(-12))\/((-15)\/(-20)) is divided by (-1)\/((-2)\/44) + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377*853.\nAnswer: -321581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 1015\/225)*363. Let k = -919\/5 + a. What is the common denominator of 88\/15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063287 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 43*n**5\/15 - 3*n**3\/2 + 8*n**2 + n. What is the derivative of f(w) wrt w?\nAnswer: 344*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/11)*h**0)\/(h*h**(-4\/11)*h*h\/(h**(-5)*h)) assuming h is positive.\nAnswer: h**(-63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137 or 6?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4096 - 11942. Let v = 5553 - q. What is v rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 1300 + 281. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137139673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3882 + 3884. Let s(h) = h**3 + 15*h**2 + 10. Let l be s(-15). Put 3, l, u in descending order.\nAnswer: l, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 50*g - 33. Let x be m(29). Suppose -x = -13*f + 832. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 173, 378, 663, 1028, 1473?\n\"Answer: 40*x**2 + 5*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5072.653 millilitres?\nAnswer: 5.072653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 449882077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43491, 93962, 144447, 194952, 245483, 296046, 346647, 397292?\nAnswer: 447987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/4 and 111\/423070.\nAnswer: 846140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*y**2 - 1 - 3 + 26*y**2 + (-8*y**2 + 9 - 9)*(2 + 0 - 3).\nAnswer: 12*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 13. Let o = 8 + r. Suppose -16 = m + o*m. What is the nearest to -0.1 in m, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 144, 2\/3, -2\/11, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -12. Let j = 47 - 31. Let g = j + -77\/5. Put -2\/7, g, m, 5 in descending order.\nAnswer: 5, m, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/9, 10, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -89512 and -89512 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*r - 2, -2*l + l + 2*r + 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.7 + -29. Which is the nearest to m? (a) -3 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/113 - 71\/791. Put m, 2\/5, 24 in decreasing order.\nAnswer: 24, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w**2 + 1. Let o(c) be the first derivative of -c**4\/2 - 7*c**3\/3 - 6*c - 303. What is o(s) + 3*t(s)?\nAnswer: s**3 - 4*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(4*(-3)\/6). Suppose 0 = 6*r - 4*r + 4*y + 14, 0 = 3*r + 5*y + 16. Solve 0 + 2\/5*l**r + 4\/5*l - 6\/5*l**f = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*u**3 - 58*u + 156*u**3 + 43 + 61*u)*(1 - 2 + 0).\nAnswer: -2*u**3 - 3*u - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/9, -4, -1202, 1, -93\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6797)\/(-77) + 3\/(-11) and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 0. Let m be -4*(1 + 7\/(-4)). Put d, -2, m in decreasing order.\nAnswer: m, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -242*w - 19143. Calculate s(-79).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/8)\/(18\/3482). Let c = n + -477. Calculate the common denominator of 2 - (-126)\/(-8) - 1 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z**2 + 436*z\/3 + 112\/3.\nAnswer: 4*(z + 7)*(15*z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 766 = 5*t, t + 456 = 4*t - 3*c. Let o = 6 - -11. What is the highest common divisor of o and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 21521 = -4053. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74834483 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.69576 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 442393848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 3*j**3 - 2 + 0*j**2 + 2*j**2 + 0 as v + q*j + d*j**2 + w*j**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(405) + -1*sqrt(405)*-1)*-1)**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 329, 680, 1043, 1424, 1829, 2264, 2735, 3248?\n\"Answer: j**3 + 344*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-9)*(1 - 20\/8). Let v(u) be the second derivative of 1\/10*u**i + 0 + u + 0*u**2 - 1\/6*u**4 + 0*u**3. Determine o so that v(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n - 12*n + 3*n**4 + 10*n**4 - 102*n**3 + 102*n**3 + (-3*n**3 + 6*n**3 - n**3)*(1 - 1 - 2*n).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (63\/(-1701))\/((21\/18)\/(-7)). What is the nearest to 2 in -10, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 13.6477588?\nAnswer: 13.6477588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4202 < -4637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 1:15 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j)\/(j**(-2\/17)\/j))\/(j**(-2\/7))**(-31)*(j**(-3\/4)\/j*j**(-6)*j)**(-19) assuming j is positive.\nAnswer: j**(58315\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*v + 2 + 162*v**4 + 20*v - 5*v**4 - 44*v as n*v**3 + l*v**4 + p*v**2 + b + k*v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 10*v**2 + 0 + 0*v - 1\/6*v**3 + 1\/24*v**4 - 1\/30*v**5. Suppose -3*b + g = -3*g + 17, -5*g + 24 = -b. Calculate a(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -6. Put 2, g, -2 in descending order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from frdrtrzfdrrddfrfddzr.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -0.12 (c) 0.2 (d) -0.1 (e) -1\/12 (f) -43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m**2 - m**2)*(0*m - m + 3*m) + 2976 - 13*m - 2976 - 12*m**3.\nAnswer: -8*m**3 - 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*t + 24, 5*v - 6 = -0*t - 3*t. Suppose -v*i = 2*i. Is i != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -118 in decreasing order.\nAnswer: -2, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -14957?\nAnswer: -14959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -738, -1480, -2222, -2964, -3706, -4448?\nAnswer: -5190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 + 7956*a\/11 + 158320\/11.\nAnswer: 2*(a + 20)*(a + 3958)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/52 + 1*(-28)\/48.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2011023 + -3?\nAnswer: 2011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 416\/624 - 1\/(-3). Solve 0 = 5*y + 3*g + s, -5*y - g = g + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 47. Suppose n + 5*q = f, 5*n = -4*q - q + 15. Let x(o) = 869*o**3 - o**2 - 430*o**n - 434*o**3. Give x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:24 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 742062 = -7*u + l, 3*u - 1113111 = -3*l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.94 - 0.06. Put -8, n, -3\/5, -1\/4 in decreasing order.\nAnswer: -1\/4, -3\/5, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3187146*b**2 + 0*b**3 - 8*b - 3187138*b**2 + 1 - b**3. Let s(h) = -5*h + 1. Let f be s(-1). Give y(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 442 + -108. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4349*m**3*o + 6*m**3 + 748*m**2 + 6*m*o + m + 8933*o - 95 wrt m?\nAnswer: 26094*m*o + 36*m + 1496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -363*r + 215 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1434 - 2*a + 1434.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 15*t + 28 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48131772*y - 43656222 with respect to y.\nAnswer: -48131772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*x + 44*x = 286*x - 840 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*h + h - n, 0 = -h - 5*n + 29. Suppose 6 = -l + h*l. Solve l = -z - z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 l when four letters picked without replacement from fkffbffllllllviivl?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = 3*b + 4, -b + 3*j = 10. Let y(a) = a**3 + 3*a**2 - 6*a - 6. Let r be y(b). Find the first derivative of 3*m - 3*m - m**2 - r wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3419 or -1?\nAnswer: 2\/3419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -315, -629, -943, -1257, -1571?\n\"Answer: -314*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -22, -45, -76, -115, -162, -217?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/819919 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + -6 + -5 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((84\/8)\/1)\/6 + -2. What is the closest to 1\/5 in 2, w, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4370*x**3 - 37022580*x + 37022580*x + (-3*x + 2*x**2 + 3*x)*(0 - 2*x + 0).\nAnswer: 4366*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10839047*c + 10839047*c - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -12. Suppose 15*d = m*d - 7815. Suppose 0 = -8*z + 5*z + d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from npviyinipnippp.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-28)\/(-6) + 15\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-125)\/(-10))*-2. Let r = h - 23. Suppose 3*i = i + r. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.89 - 0.19. Let y = -2.700104 + j. What is y rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2968 by -2.\nAnswer: -1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.42. Let i = -4.02 + s. Let a = -22.5 - -22. What is the biggest value in a, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1343247 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 41. Let s = 28 + -8. Put f, s, 0.1 in increasing order.\nAnswer: 0.1, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -21\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/540 - (1472\/(-80) + 18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*w - 4 = 0, -12*b - 2*w - 16 = -8*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 47?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 minus -53670785.404?\nAnswer: 53670785.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4025*h - 56429. Give i(14).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmnmmnm. Give prob of sequence nnmn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -5 (c) 1 (d) -2\/21 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 453 and 2031494.\nAnswer: 920266782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**4 + 2*n**4 + 2*n**4)*(-2 + 2 - 1) - 31*n**4 + 47*n**4 - 18*n**4 + 2*n**3 - 5*n**2 - 1 as i*n**4 + b + t*n + o*n**3 + p*n**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -82305, 16, 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73482, 146918, 220354, 293790, 367226?\n\"Answer: 73436*f + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1124463, -1124456, -1124449, -1124442, -1124435, -1124428?\n\"Answer: 7*k - 1124470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31721\/2772 - 571\/77. Find the common denominator of -29\/72 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473 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: What is -18 times -3855?\nAnswer: 69390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*s + 2*f, -25*f = -s - 45 - 102 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(1575)\/sqrt(9)) + -4*(sqrt(7) - (sqrt(7) + 1))**2 - ((sqrt(175))**2 + -2)*1.\nAnswer: -177 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -10)*((-56)\/(-5))\/(-4). What is the greatest common divisor of 2086 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**5 + 3*q**4 + 778912*q**3 + 53841809*q**2.\nAnswer: -360*q**2 + 72*q + 4673472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112987747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -7*i + 84. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 - 5*r - 6. Let j be u(-4). Let i = 25 - j. Suppose -1 = -3*f + i. Solve -2*g + f*a = -2, -g = -4*a + 1 - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quqqrmqnq. Give prob of picking 1 r and 1 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5 = -s. Let j = s - -2. Let z be (j + 39\/(-12))*-4. What is the closest to 0.1 in 2, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9066.788ml?\nAnswer: 9.066788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqq when three letters picked without replacement from {n: 1, q: 4, i: 1, b: 2, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5 + 166*o**4 + 21*o**3 + 683952*o**2.\nAnswer: 60*o**2 + 3984*o + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, 3, -25.71 in descending order.\nAnswer: 85, 3, -25.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -19. What is the tens digit of (-34)\/(-6)*(q + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(6)\/sqrt(2)*-6) - (0 + (sqrt(891) + 3)**2).\nAnswer: -900 - 325*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -16*q - 1. Let t be x(-1). Suppose 4*a - t = -a. What is the remainder when 9 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -2\/4433?\nAnswer: -2\/4433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135*d**2 + 3*d - 165?\nAnswer: 270*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 94.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (130\/325)\/((-2)\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 11*s - 7. Let f be i(-12). Let v(g) = -g**2 - g + 1. Let o be v(-2). Which is the closest to o? (a) -0.3 (b) 1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492842 is divided by 14494?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 25, 2, 4, 60, 24, -2 in ascending order.\nAnswer: -2, 2\/3, 2, 4, 24, 25, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 367 and 604 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4841\/4 - 14525\/12. Sort -5, p, 48\/11, 5\/3.\nAnswer: -5, p, 5\/3, 48\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f - 6*f**3 - 4*f**3 + 25*f - 2*f.\nAnswer: -10*f**3 + 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23490292 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2244 and 3264.\nAnswer: 35904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**0)**36)**(-1\/51))**(-5\/6))**(-6\/35) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 + 24*s**2 + 25*s + 192. Let j(d) = -d**3 - 4*d**2 - 6*d - 48. Let k(v) = -9*j(v) - 2*n(v). Suppose k(t) = 0. Calculate t.\nAnswer: -12, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7284 and 11?\nAnswer: 80124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459 and 138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**6\/135 - 2*y**5\/45 + 5*y**4\/54 - 2*y**3\/27 - 41*y. Factor s(v).\nAnswer: 2*v*(v - 2)*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 0)\/((-3)\/4). Suppose 0 = -0*m - x*m + 4*d + 85360, 2*d = 4*m - 85368. Suppose -3856 - m = 3*a. Round a to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16074 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: What is the square root of 4416841 to the nearest integer?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 69123641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3*(-2)\/8. Let k = -2 - 2. What is the third biggest value in 2, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*d + 5*a, 4*d - a = 3*d + 9. Suppose y - d = -y. Calculate the smallest common multiple of 6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 68*i**2 + 375*i + 450.\nAnswer: (i + 6)*(i + 15)*(3*i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 13*m**2 + 18 - m**2 + 2*m**2.\nAnswer: 9*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y - 198. Let f(b) = 10*b - 59. Let z be f(3). Let r = z + y. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:06 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 454023 (base 6) to base 10\nAnswer: 38463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 3 - 9 - 9 - 2*k. Calculate the remainder when 57 is divided by b(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67887 + 1289855\/19. Let p = -2 - -2.1. What is the closest to p in -0.1, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 7 + 34\/(-2). Let p be (188\/f - -1) + (-21)\/(-49). Let v be (-1 - (-21)\/27)\/(p\/(-18)). What is the biggest value in 0.1, -1\/9, v, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8248115 + -2?\nAnswer: -8248117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 2*s + s - 2*s**4 - 2*s**2 + 0*s**2 - 1 - 4*s**3 in the form d*s**2 + g*s**3 + y + i*s + r*s**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -14*g + 12*g, -y + g = -2. Suppose 4*x - y*x = 9. Suppose x*p - 420 = -p. What is the remainder when 121 is divided by p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102200220110122211 + -10?\nAnswer: -102200220110122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 414523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4071 + -406. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 divided by -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 10 (c) -0.4 (d) 0.9 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212039235 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*h - 9*h. Suppose 7*t - h*t + 1215 = 0. Suppose -5*u + 2*b = -t, -2*u = -3*b + 4*b - 171. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 350 - 353.18. Let y = s - -3.18000179. Round y to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 680553, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1218.530813 rounded to 1 decimal place?\nAnswer: -1218.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2345752 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18*f**2 - f + 1. Let z = 12 - 11. Determine k(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531 less than -1873088470?\nAnswer: -1873087939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*j**2 + 6*j**2 - 11*j**2 + (-1 + 2 + 1)*(-2*j**2 + 2*j**2 + 2*j**2) + 0*j**2 + 2*j**2 + 0*j**2)*(-3 + 2 + 2) in the form r*j**2 + z*j + u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 - 11484*h - 125961 = 0. What is h?\nAnswer: -3817, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*d = 97, -d + 3 = 2*d. Let z = -29 - v. Suppose -586 = -z*i + 4*m, -623 = -4*i - 2*m + 549. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -1) + (-1 - -7 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(x**2 - x**2 + x**2) - 2*x**2 + 3*x**2 + x**2 + 2*x**2 - 2*x**2 - x**2 - 7538*x**2 - 5348*x + 5348*x.\nAnswer: -7536*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -575 - -577. Let h(n) = 0*n + n + 11 + 0*n. Let v be h(-6). Solve m = -4*s - i*m - 11, 10 = -v*s - 3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 10*o**2 - o + 14. Let v be h(10). Suppose -l = 5*u + 20, 3*u = l + v*u. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 51 - 13 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35362572 - 5?\nAnswer: 35362565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 2 (c) -0.158 (d) 0.2 (e) 9 (f) -54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114*1375\/(-42750)*1*-15?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*n + 5*o, -2 = -2*n + 2*o + 16. Suppose -3*x + 2 = -n. Suppose 0 = -2*r + 2 + 2. What is the remainder when x is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3 - 302*c**2 + 195.\nAnswer: 9*c**2 - 604*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 756\/(-420)*(-10)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/1)\/(-6))\/((1\/123)\/((-499)\/1497)).\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.49 - 5.29. Let u = 6\/35 + 8\/35. What is the nearest to k in -0.5, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-15)\/(-7))\/(116\/(-193765124)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = -i + 455, 3*i = 3*s + 1440. Suppose 0*c = 5*c - i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -219, -273, -327, -381?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2952 divided by 4\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 224*m**3*y + 2287*m*y + 15*y - 5099 wrt m.\nAnswer: 672*m**2*y + 2287*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (1 - (-1 - -2)). Let s(z) = -2*z - 2. Let x(f) = 3*f + 3. Suppose -5*r - 50 = -5*i, 2*r = -3*r - 5*i. Let t(d) = r*s(d) - 3*x(d). Give t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214026135?\nAnswer: 3, 5, 97, 147097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7202, -27423, -61126, -108311?\n\"Answer: -6741*n**2 + 2*n - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3018371461 to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**2 - 2*u + 2. Let t(v) = -v**3 + 4*v**2 + 11*v + 7. Let n be (1\/1 + 11)*1\/2. Let h be t(n). Let i be o(h). Solve i = 4*x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1540, 6433, 14588, 25999, 40660, 58565, 79708, 104083?\nAnswer: 131684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -52. Let t = 103 - g. Calculate the greatest common divisor of 115 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230266268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 22 - 2*s - 11.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x*x*x**(2\/17)*x*(x\/x**(-1)*x*x*x)**41)**(-2\/23) assuming x is positive.\nAnswer: x**(-7178\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/18 and -58\/481173.\nAnswer: 2887038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/665696 and -55\/9486168?\nAnswer: 37944672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29\/20 - 1\/20. Let k = -21 + 24. Let i be ((-2)\/k)\/(8\/(-6)). Which is the nearest to i? (a) -0.2 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 10*g**2 + g - 11. Calculate h(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*l + 3*i, -2*l - 29 = 2*i + i. Let m = -7 - l. Let g(o) = -o**3 + 2*o**2 - 2*o + 1. Let k be g(1). Is k < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -445635 + 445634. Let d = 221871\/8 + -27693. Let g = -41 + d. Sort g, o, -26 in increasing order.\nAnswer: -26, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = 0, 2*s + 2*s = -2*j + 16. Let f = 8 - 4. Let y = j - f. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 80 = 0. Calculate the common denominator of -41\/12 and 1\/(-3)*(-285)\/q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 + 2.115. Let j = m - -0.385. What is the fourth biggest value in j, -3, -1.1, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (715\/(-26) - 1\/2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -350456.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(6683 - -79))\/(5\/(-120)*3*1)\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-4))\/(((-7)\/4)\/7). Let u(r) = 3*r**2 + 3*r - 3. Let h be u(f). What is the greatest common divisor of h and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - (-7 + -1) - (17 - 57 - -37)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*c - 7*c + 23, -c + 1 = 5*v. Calculate the highest common divisor of 9 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.34252 millimeters to nanometers.\nAnswer: 63342520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2*(-44)\/(-64). Let a be (2\/8)\/((-10)\/60). What is the third smallest value in 0, -2\/5, f, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 31626*h**2 + 502. Let w(x) = -253*x**2 - 4. Calculate -2*u(v) - 251*w(v).\nAnswer: 251*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 1:42 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.00987902265261 - -0.02\nAnswer: 0.01012097734739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 - -209. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 3*k**2)*(k - 1 + 1)*(4*k + 1 - 4*k - 4*k) to the form r*k**4 + a*k + d + t*k**2 + b*k**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.2 - 19. Let s = t + -1.1999932. Round s to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - n**3 - 1 + (2 - 2 + n)*(6*n**2 - 2 + 2) - 4*n**3 + 6*n**3 + 5*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137737 is divided by 45785?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-145 - -1)*(-15)\/12. Suppose 4*y - 9*y = -o. Solve 2*s - 4*c + 8 = 0, -4*c + y = 3*s + 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40034644 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/24 - 6*o**2 - 13*o. Let b(k) be the first derivative of m(k). Let x(g) = g**2. Determine b(x(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 - 162*d - 107 + 709*d.\nAnswer: 547*d - 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x - 6 = -2*t, -5*x - 5 = -2*t. Let a = x + 0. What is the nearest to a in 2, -0.2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/39 + ((-6978)\/(-234) - (-5)\/15). Calculate the greatest common factor of y and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 + 0)*(2*u + 0*u + 0*u) + (57*u + 19*u - 14*u)*(-22 - 3 - 14) - 2 + 2*u + 2 as z*u + w and give z.\nAnswer: -2412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 29355*h + 29432. Determine p(-1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/17 (b) 7.4 (c) -127 (d) 3 (e) 0.5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1248074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.29221 decades in centuries?\nAnswer: 4.029221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 14 = 8*d. Suppose 51 = 4*o + 7. Let r = o + d. Solve -q + 1 = -r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllllmll. What is prob of picking 1 m and 3 l?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.7 + -54031951804.\nAnswer: -54031951841.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4*g*r**2 - 152*b**3*g*r + b**3*r - 2*b**2*g*r - 3*b**2 + 5*b*g*r - 2*g*r**2 wrt b.\nAnswer: 48*b*g*r**2 - 912*g*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 9*z + 2. Let u(c) = c**3 - 3*c**2 - 2*c - 3. Let k be u(3). Let s be l(k). Let n be -1*s*12\/18. Sort -4\/5, 3, n in descending order.\nAnswer: 3, -4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - d + 2. Let f(o) = -48*o**3 - 3*o**2 - 3*o - 185. Let i(t) = f(t) - 3*z(t). What is the derivative of i(r) wrt r?\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5 - 51*m**4 - 174*m**3 - 120*m**2 = 0.\nAnswer: -2, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**3\/3 + 90*s**2 - 4729. Determine l so that c(l) = 0.\nAnswer: -180, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 2. Let q(a) = 2 + 0 + 20*a + 18*a - 34*a. Give -2*q(z) - 3*w(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 11000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 7:26 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/10 (b) 4204 (c) 405 (d) -2\/9 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - u**2)*(-3514 + 1822 - 3576 + 447 - 465).\nAnswer: 5286*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o - 2*o - 10 + 2*o. Let i be k(-7). Let a = 45 + i. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 2456*f - 41171. What is d(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3011421 + 24?\nAnswer: 3012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*q = -6*q + 2770, k + 2*q = 691. Let w = k - 597. Calculate the remainder when w is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 30 = -498. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002685 to seven decimal places.\nAnswer: -0.0000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (408015\/30*(0 - 2))\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/9*c**3 - 112\/9*c + 58\/9*c**2.\nAnswer: -c*(c - 56)*(c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - -54?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + g + 3*g - 86 = 0, 3*t = -3*g + 54. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213151 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685967 is divided by 685455?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (164 - 98) + -27 - -28\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7079 is divided by 1415.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230807 - 67596. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - (1 + -2)) + 267 + -271?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40\/27 - 919\/54. What is the common denominator of 99\/28 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722764 a multiple of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14454, -28908, -43362, -57816, -72270, -86724?\n\"Answer: -14454*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x + 7. Let v be n(7). Suppose -v = 7*t - 224. Suppose 4*s - 17 - t = -d, -3*s + 25 = -d. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 58785, 56631, 54481, 52335, 50193?\n\"Answer: 2*u**2 - 2160*u + 60943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiyiiiiiiiyiyi. What is prob of sequence yii?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**2 + 6*z + 16. Let p(r) = 2*r**2 - 2*r - 5. Let t(o) = -2*o**2 + 14*o - 18. Let b be t(5). Give b*d(k) + 7*p(k).\nAnswer: 2*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2. Let f(u) = -2*u - 2. Let r(h) be the first derivative of -h**2 - 3*h - 5. Let w = -3 + 0. Let g(b) = w*f(b) + 2*r(b). Give k(g(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in 0, -84, -3?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1694 and 1001.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4\/5 + 27*a**3\/5 - 36*a**2\/5 - 12*a = 0?\nAnswer: -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 4*d. Let t be r(4). Suppose 6*y - 3*y - 6 = t. What is the remainder when 28 + (2 - y)\/(-1) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 86064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249 + 1115 = 3*y - 1089 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.3 + -10.8. What is the closest to 1 in -3\/2, l, 1\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -24*h**3 + 3*h**2 - 3*h + 1. Let z be m(-4). Let c = -724 + z. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 34. Suppose l = -3*w + 2*w + 1, 0 = -5*l - 3*w + c. What is the third smallest value in -2\/15, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 6. Suppose y*o - 9 = 3. Solve z - 2 = o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 548.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*r**2 + 0 + 0*r.\nAnswer: -r**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2*s**2 + 6*s + 1. What is the units digit of y(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u. Let s = -16 + 23. Suppose h + 14 = 2*v - 0*v, v = 5*h + s. Let w(o) = v + 4*o**2 - 4 - 3. Determine w(j(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -29. Let v be p*(-1 - -2)\/(-7). Sort 4, -1, v in ascending order.\nAnswer: -1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2138*w - 69243 + 629 = 38935 + 16455 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 851*z - 393. Let o(d) = 284*d - 113. Calculate -7*o(h) + 2*t(h).\nAnswer: -286*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -43123013?\nAnswer: 43123010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 17 = -137 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/10 + q**4\/4 + 12*q. Let v be (-20)\/(-6) - (-4)\/6. Suppose -3*x - 12 = -2*n, -v*x + 5*n - 25 = x. Calculate j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 z, and 1 m when four letters picked without replacement from zrjmmrjmjmmmmzm?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-1 + -4 - -3). Suppose k*i - 11 = 2*b + 3*b, 5*i - 4*b = 16. Let h = -4 - -6. Solve 4*j - i*u + 14 = -h*u, 2*u = j + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 5*x**5 - 4*x**5 + (1 - 1 - 2*x)*(458*x**4 + 119*x**4 - 203*x**4).\nAnswer: -749*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*t**3 - 476*d**3 + 5*d**2*t - t**3 + 3599*t**2 wrt d?\nAnswer: 18*t**3 - 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 - -2220?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 66.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-24)*(-1)\/5.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6001631, -12003249, -18004865, -24006479, -30008091?\nAnswer: -36009701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 8:00 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/221235 and -2\/73745.\nAnswer: 221235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4, 2*d + 5 = 5*b - 5. Suppose 7*w + 5*u + 25 = 2*w, d*u = -25. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -47*c**3 + 7*c - 101. Let m(n) = 23*n**3 - 3*n + 51. Let x = -313 - -320. Let u(g) = x*m(g) + 3*a(g). Differentiate u(h) with respect to h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31562*d + 63218*d = 31542*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 p, 1 n, and 1 g when four letters picked without replacement from {d: 5, g: 9, p: 1, i: 1, n: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246300426*n**6 - 11539*n**2 + 11*n + 25 wrt n.\nAnswer: -29556051120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*y - 2*y**2 - 143*y)*(0 - 4 - 2)*(0 + y + 0)*(-1 + 5 - 3)*(-y + 3*y + 2*y) - 2*y**4 - 2*y**4 - y**4.\nAnswer: 43*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - -1146. List the prime factors of v.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2*w*z + 38*t**2*w + 2*t**2*z**2 + 2*t**2 + 2*t*w*z + 2*w*z**3 - 342*z**3 wrt z?\nAnswer: 4*t**2 + 12*w*z - 2052*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103*(-2)\/5*2 - 96*(-6)\/(-1440)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -114*p + 114. Let v be n(-3). Let u = v - 352. Is u >= 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 7.9504 (b) -0.4 (c) 0.3 (d) -3\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 4865?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 746, 1487, 2232, 2981, 3734?\n\"Answer: 2*s**2 + 735*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032865 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73)\/(-1387)*3\/((-12)\/(-2))*4.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13*v + 1. Let x be s(-2). Let q be 6\/x + (-428)\/(-18). Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3662 - -5630. Is d a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/55 and 119\/15060.\nAnswer: 165660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3\/7 (c) 0.04 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044333 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4200, 6135, 8066, 9993?\n\"Answer: -2*q**2 + 1941*q + 2261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -434*g**2 - 60*g - 4430503 wrt g.\nAnswer: -868*g - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270411 is divided by 4980.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 15 = -4*y, -t + 2*y + 3 = -0. Let z = -16 - -14. Put 1, t, z in descending order.\nAnswer: 1, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520824004.51 less than 0.05?\nAnswer: -5520824004.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2234 - -213?\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1280605832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.972162 seconds to microseconds.\nAnswer: 7972162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2751\/5 + 3\/5*q**2 + 2754\/5*q.\nAnswer: 3*(q + 1)*(q + 917)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 377*r**3 - 308*r**3 + 700*r**3)*(-r + 4*r - r).\nAnswer: 30*r**4 + 112*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:10 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 + 5*b - 6. What is the tens digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 4 - (22 + -26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410178667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(931) - (sqrt(931)*-2 + sqrt(931))) - (-4 + sqrt(931)*-1) - ((sqrt(931) + 1)**2*-4 - (1 + sqrt(931) + 3))) + -1.\nAnswer: 14*sqrt(19) + 3735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohooooohhh. What is prob of sequence hh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 + 123. Solve p*l + 4 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) - (-3*(sqrt(196)*-2 - sqrt(196)) + sqrt(196)))\/sqrt(7) - (5 + sqrt(1008)*1))*5.\nAnswer: -150*sqrt(7) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**6\/60 + 2*h**5\/15 - h**4\/4 + 7*h**2. Determine i, given that j(i) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31215.\nAnswer: 3, 5, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012743 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + w - w = 0. Let v(r) = 8*r. Let n be v(w). Which is greater: n or -16\/59?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -79.06. Let a = 0.06 + s. Is a less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-19095)\/(-28006))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 357 - 352. Suppose 0 = -2*k, 0 = 2*a + 3*k + f - 11. Solve -p - 4*r = -5*p - 12, -r + a = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797482?\nAnswer: 2, 7, 56963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180)*-2 + sqrt(180) - sqrt(180))\/(sqrt(384) + sqrt(384)*2))\/((sqrt(90)*2*-4)\/(-2*sqrt(9)*1)).\nAnswer: -sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 11:15 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 2*f - 69, 4*i + 993*f - 988*f = -42 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -738105831125*u**4\/3 - 295230806000*u**3\/3 + 1536845*u**2 - 6*u = 0. Calculate u.\nAnswer: -2\/5, 0, 3\/384215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 9*s + 9. Let i be j(8). Suppose -2*z + 3*z = 5*h - i, 2*h + 7 = 5*z. Let q be (-2 - -2)\/(h\/2). Is 1 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 22*j**2 + 21*j + 5. Let w be l(-21). Let s(b) = b + 3. Let r be s(-5). Sort r, 3, w in ascending order.\nAnswer: r, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + -3 + 3 + -14. Let j(b) = -b + 12. Let r be j(6). Solve x = r*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - d + 2*d = -5*d - 0*d - 16, -8*a + 2 = -13*a - 3*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.49 and -7324632.5?\nAnswer: 7324639.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18800080 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52066 (base 7) in base 9?\nAnswer: 18424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -555, -854, -1169, -1506?\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -98. Suppose 38 = s*d + x - 5*x, -x = 4*d - 22. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2. Let q(o) be the first derivative of o**3\/2 + o**2\/2 + 28*o + 11. Let p(h) be the first derivative of q(h). Determine y(p(g)).\nAnswer: 9*g**2 + 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 75*u**4 - 18840*u**3 - 886548*u**2 - 2033520*u - 672768 = 0.\nAnswer: -192\/5, -2, -2\/5, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18234 + -36467\/2. Which is the nearest to 0? (a) o (b) 1\/3 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55, 159, 313, 517, 771?\n\"Answer: 25*f**2 + 29*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (76\/8)\/((-2)\/(-28)). Let i = -24 + 43. Calculate the greatest common factor of i and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -12, -65*m + 62*m - 2*k = -21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Suppose 2*z - z = v. Suppose 3*g - 2 = -14, -5*g = 5*d + 5. Solve 0 = -z*j + d + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 114.\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/4 + 14807*l**4\/4 + 14803*l**3\/4 - 44419*l**2\/4 - 3701*l + 7403 = 0. What is l?\nAnswer: -14806, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/120 - x**5\/30 + x**4\/4 + 2*x**3\/3 - x**2. Suppose -9*r + 46 = -44. Calculate the least common multiple of r and w(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b**2 - 3*b + 4*b - 3*b**2. Let d be k(-1). Let a be 6\/((-12)\/d - -2). Round a to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 0*i - 35 = 2*v, -120 = 18*v - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-4))\/(-12 + 475\/40). Suppose 4*g + 2*o = w, -g = 12*o - 7*o + 22. Calculate the smallest common multiple of 126 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8657 and 283503.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 80305.25nm?\nAnswer: 0.00008030525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1609.647 take away -0.1?\nAnswer: -1609.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 3014213?\nAnswer: -3014203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 28*l + 404. Let s be b(-14). Which is smaller: s or 22?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/9 + 48710*c\/9 + 593166025\/9.\nAnswer: (c + 24355)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f = 18. Let x be (f\/15)\/(6\/4). What is the nearest to x in -0.3, -2\/5, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 15. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -185 + 180 + (-3 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (6 - 1) - 19) + -4 + (14 - 13).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 0.4 (b) 0.2 (c) 0 (d) 28 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -118 - ((-93)\/12 + ((-1869)\/84 - -22)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54690000 to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -192016?\nAnswer: -21\/192016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9239 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 18 = -4. Let v be 46\/p + (-4)\/22. Is 3 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2669 and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16100 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283 by 161.\nAnswer: 283\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299563\/280 + -10697\/10. Find the common denominator of 111\/160 and q.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7175400 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (64\/240)\/((-40)\/(-50)). Let g(j) be the second derivative of 0*j**3 + 5*j + 1\/5*j**5 + 0 + 0*j**2 + h*j**4. Factor g(z).\nAnswer: 4*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 856, 1294, 1736, 2182, 2632, 3086?\nAnswer: 3544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1629872, 3259744, 4889616?\nAnswer: 6519488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**3 - 32*p + 14. Let u(n) = 3*n**3 - 11*n + 5. Let a(m) = -4*i(m) + 11*u(m). Let q(j) be the first derivative of a(j). Differentiate q(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 870, 1739, 2606, 3471, 4334, 5195, 6054?\n\"Answer: -u**2 + 872*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 284510*u**2 + u + 284510.\nAnswer: -(u - 1)*(u + 1)*(u + 284510)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((15 - (-17 - -28)) + 1 - 14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91.8 - 92. What is the nearest to -0.1 in -4, f, -1.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1875819 bigger than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 28. Let g = 12 - p. Is g equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 96*n - 41*n.\nAnswer: 55*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 24 = 28. Let t be (m + -1 - 4) + 8. Let b(a) = a**2 - 6*a + 3. Calculate b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 - (4 - 14\/3). Let a = 97 - 97. Put a, d, -3 in decreasing order.\nAnswer: d, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.063048l in millilitres?\nAnswer: 4063.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-42) - 52\/(-133). What is the smallest value in 2\/5, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -116, -232, -390, -590?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z**(-5))**(-2\/3)*(z**(2\/5)\/z)**(6\/35)\/(((z*z**8)\/z)\/(z*z\/(z**(-5)\/z)*z)) assuming z is positive.\nAnswer: z**(2221\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**5 + 76*m**4 + 420*m**3 + 1164*m**2 + 1304*m + 500. Let s(z) = -z**5 - 2*z**4 + z**3 - z**2 - z. Let w(f) = -k(f) - 4*s(f). Factor w(i).\nAnswer: -4*(i + 1)**2*(i + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 1:04 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -95199331 and -95199331 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*u = -16, 4*q = -0*q - u + 4. Solve w - 3*w + 6 = q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.2 and -143.\nAnswer: -127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 4*m**2 + 2*m**2 + 5*m**2 to o*m**2 + f*m + h and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - 3470453?\nAnswer: -3470476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -583\/5, -2\/7, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 484765.\nAnswer: -3\/484765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.789 - 0.089. What is the third biggest value in 4, x, 4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 2*v - v. Let o(j) = -2*j. Let i(x) = 4 - 4 - 4*x. Let k(m) = 4*i(m) - 10*o(m). Give k(r(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 2*f. Let m(w) = 9*w + 6. Let n be m(3). Let x(p) = 33 - 33 - 11*p - 6*p**3. What is n*d(v) + 6*x(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5\/17 + 38*d**4\/17 - 84*d**3\/17 - 208*d**2\/17 + 256*d\/17 = 0.\nAnswer: -2, 0, 1, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 4. Let y(u) = -2 - 3 + k + 9*u. Let h(x) = 4*x - 2. Give 7*h(i) - 3*y(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064062 divided by 3466.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3712)\/544)\/(-58)*(-85)\/(-495).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*q - 1, 321*z - 3*q - 380 = -82*z - 226*z + 875 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**6\/3 + 5*i**3\/2 - 4*i. Find the second derivative of k(z) wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 353*x + 5603. Calculate z(-16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 6*s**4 - 3*s**2 - 5*s**4 - 1 - 3*s as x*s + y*s**3 + r*s**2 + o*s**4 + z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(-62) - 2\/1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4072 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490707 by -2.\nAnswer: -490707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0*u + 6*u - 3.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 23. What is z rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177200 and 70880?\nAnswer: 354400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 32778050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 12:44 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 11 + -2 - (-7 + -1)) + -15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 33 - 9*q**2 + 16 + 5*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214.2849 months to millennia.\nAnswer: 0.017857075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 15\/73 (b) -0.01 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 + 5*h + 4. Let x be d(5). Let u = x + -52. Solve 4*p + 23 = j, 0*p - p - 11 = -u*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 6*r - 33*r + 38*r**2 + 47*r.\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -76. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43, -49, -65, -97, -151, -233, -349, -505?\n\"Answer: -q**3 + q**2 - 2*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2) - (-75)\/2) + -2. Is (150\/45)\/(2\/l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/14 and -24\/703.\nAnswer: 9842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a + 75 = 79*a. Let m be a\/(-6) + (-485)\/(-10). What is the highest common divisor of m and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39401, -78806, -118211, -157616, -197021?\nAnswer: -236426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = m + 29, 3*u + 2*m - 12 = 56. Solve 0 = u*n - 13*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**3 - a**2 + 1. Let y(w) = w**3 + 4*w**2 - 2*w - 3. Let j be y(-4). Let v(c) = -c**3 + 5*c**2 + 1. Let h be v(j). Calculate s(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50791*j**4 + 63564?\nAnswer: 203164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10710000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4940*o - 9966*o + 5026*o - 1445*o**3.\nAnswer: -1445*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 + v + 4. Let i be z(0). Suppose -4*w + 0 = -i. Let y = 5\/39 + -6\/13. Sort 2, w, y.\nAnswer: y, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169512436.\nAnswer: 2, 1433, 29573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3986592 and 26.\nAnswer: 62.3651392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 331 + -331.09. Let j = t - -0.15. Which is the nearest to j? (a) 0.2 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.9 + -12.9. Which is the nearest to t? (a) 46 (b) 0.2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*z = -3*d - 14, 3*d = -5*z + 11. Let c = 6 + d. Suppose -18 = -5*v + 3*v. Solve 0 = c*t + v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 15. Let l be (-3)\/y + (-170)\/(-25). Let p(v) = -v**3 + 8*v**2 - 4*v - 17. Let m be p(l). Solve -5*x + 3*x = m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = m + 5*i + 21, 3*m - i + 96 = 0. Let c = 28 - m. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378309 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -28.098 (b) -2 (c) -2\/9 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12941476 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 326\/9. Let g = -1.3 - -0.3. Let h = 2 + g. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 21, 51, 93, 147, 213?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(58*r**3 + 2*r**2 - 3*r**2 - 74*r**3).\nAnswer: -32*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b**2)\/(b\/b**6*b**4\/b))\/(b\/b**4*b**2*b**(-2)*b*b**(-5)\/b*b*b*b) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.80475 days to nanoseconds.\nAnswer: 415130400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3393*37\nAnswer: 125541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**2 + 0*d - 2*d - 2*d**2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1124\/1405*(-10)\/148.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16\/11, -5, -0.5, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -11*d - 684. Let v = 155 + d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q. Let d be o(0). Suppose 2*h = 4*f + 16, -3*h + 4*h + 8 = -2*f. Solve h*s + s + 2*m = -5, -m = d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.5. Let y = -27.89 + 28. Let o = y + -0.61. What is the nearest to -1 in o, u, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Suppose 5*m - 7 = 3*c - 4*c, 1 = 2*c - 3*m. Let t be 21\/((-1)\/(c - 3)). Let f(n) = 11*n - t*n**2 - 11*n. Calculate r(f(v)).\nAnswer: 441*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 25 - 14881\nAnswer: -14856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -458.14 rounded to 0 decimal places?\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 4*u + 119, 876*u - 55 = -3*n + 878*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.45. Suppose -15*u + 16*u - 72 = 0. Let r be u\/(-81) + 4\/18. Which is smaller: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2022133?\nAnswer: -2022203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o + 287*o + 15 + 349*o. What is the hundreds digit of j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*2\/120)\/((31 + -30)*2\/(-150)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a + 5 + 1 + 0. Let k = 17 + -23. Let r(g) = -20*g + 17. Let m(f) = k*r(f) + 17*u(f). Let q(l) = -3*l. Calculate q(m(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -691, -1367, -2039, -2707, -3371, -4031?\n\"Answer: 2*i**2 - 682*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 404922965591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, u: 3, m: 5, n: 1, t: 2}. Give prob of sequence ttmm.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8*u = 5*p - 85, -p - 26*u = -642 + 247 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -60, -103, -156, -219, -292?\n\"Answer: -5*i**2 - 18*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2863*l**3 + l**2 + 31*l - 64. Does 52 divide a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-40)\/(-180))\/(5*2)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99.10285 - 99.36. Let n = x + 0.3371. Let z = 0.08 - n. Round z to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dd (base 15) in base 11?\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 2*p**5 + 2*p**5 + (3*p**2 - 3*p**2 - p**4)*(3*p - 4*p + 3*p) - 3*p**5 + p**5 + p**5 + (1255*p**2 - 305*p**3 - 1255*p**2)*(-p + p - 2*p**2).\nAnswer: 609*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7*s**2 + 9*s - 4. Suppose 0 = -4*n, 0 = 2*u + n + 10. Let p be o(u). Put -4, -1, p, 28 in descending order.\nAnswer: 28, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184573?\nAnswer: 13, 91121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 73 = 37*l - 49*l + 17*l, -3*w = -66 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, q: 1, e: 1, p: 1, v: 1}. What is prob of sequence veo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + -5)*1*7. Suppose 2 = 2*p + 2*p + 3*o, -5*o + y = 3*p. Let s be ((-6)\/171)\/(p\/(-3)). Sort s, -0.3, -2 in increasing order.\nAnswer: -2, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - a + 1 = 0, c = 2*a + 12 - 5. Solve 5*z + h + h = -25, 0 = c*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*b*i**2 - 847*b*i + 2*i**2 wrt i?\nAnswer: -52*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from nwtwtbgtwwtgtwwwttbg.\nAnswer: 49\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**17*t*((t*t\/t**2)\/t)\/t)\/((((t*t*t*t**1*t*t)\/t)\/t)\/t)**16 assuming t is positive.\nAnswer: t**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 2*d + 49, 5*d - 14 = -3*o. Suppose 0 = 2*y + o - 73. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g + 1. Let j(p) = -12*p + 3. Let r(y) = -9*c(y) + 4*j(y). Differentiate r(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 - 2*x**2 - x + 11. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 722 and 747631?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1125247 and 41888?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73.2 - 72.8. Let b = -1.2 + 0.7. What is the biggest value in b, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 37. Let j be x(-6). Suppose -35 = -j*d - 0. Solve d*r + 10 = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w - 385. Let i be c(31). Suppose -5*r + d = -21, -12*d = 2*r - 9*d - 5. Solve -26 = r*t - i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-27)*(-606)\/(-31310)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (341\/(-154))\/(-31)*6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 627 divided by -6196\nAnswer: -627\/6196","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57018494 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0057 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.7391 centimeters in kilometers?\nAnswer: 0.003027391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 1 = 2*s - c, 259*s + 4*c - 74 = 229*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1265 divided by 253.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 16*d**2 + 54*d + 3. Calculate u(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4248 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 - (1 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.6 + -0.6. Let x = 18 - n. Let h = -10 + x. Is h at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9250 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 6:34 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*q**2 + 5 - 8*q - 31*q**2 - 5*q - 2*q to the form m*q + b*q**2 + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*f - 23, 2*f + 155 = -4*z + 7*f. Let p = 54 - z. Let s = p + -86. Solve 3*d - 5*q = 14, 2*d - 2*q - 5 = -s*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 227259?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2*(117\/45)\/13)\/(-5).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55094 is divided by 3933.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*1 - 256\/32.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3473 to three decimal places.\nAnswer: 0.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2862 divided by 5\nAnswer: -2862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31950 = -87*s - 26817 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100639424 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1200, -1203, -1202, -1197, -1188, -1175?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -2\/3*i**3 - i**2 + 4*i - 1. Factor u(r).\nAnswer: -2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 2*g**4 + 58 - 54 + 0*g**4 to the form s*g**3 + m + t*g**2 + q*g + k*g**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478603, 478734, 478953, 479260, 479655?\nAnswer: 480138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/21*12\/(-48))\/(4\/(-45)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((6 - 4) + (-10 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u - 1164 = 0. What are the prime factors of u?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 296732 and 68.\nAnswer: 20177776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011121 + 222?\nAnswer: -2010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 30?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - q)*(2*q**2 + 2*q**2 - 2*q**2) - 4*q**3 - 11 + 11.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -507*n**6 + 66085*n**3 + 155690*n**2 - 857*n wrt n.\nAnswer: -60840*n**3 + 396510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqlmqqmlqlbq. What is prob of sequence bq?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*t + 22*t - 48555 = -231*t - 93*t for t.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 3*t - 93. Give s(0).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -4) + (1 + 8 + -1 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284068826.\nAnswer: 2, 3, 1427, 49991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtklllz. What is prob of picking 1 t, 1 g, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 4*u - 5. Let w be g(-8). Let p = -31 + w. What are the prime factors of p\/18 + 3605\/63?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 556 and 24881?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14576 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2 - -4. Let r = -132.2 - -129. Let y = w - r. Which is the second biggest value? (a) y (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -13 - (-37 + 62) - (-4 - 0 - -97)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1095.62 + 1039. Let o = h - -51.6. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 20 = -5*r - 4*t, 0 = 2*r + t + 7. Let z be ((1 + -1)\/r)\/1. Let c = z + 9. Solve -m - h = -4*h + 3, -3*h - c = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.2 - -212.\nAnswer: 197.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 77\/98 + 2\/(-7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 46050102.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1050617308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2 + 3*s - 5. Let a be 12\/54 - (-47)\/(-9). Let l(m) = -2*m + m**2 - 211 + 3*m**2 - 207 + 631 - 210. Determine a*l(h) - 3*t(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6260.976km in micrometers?\nAnswer: 6260976000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/7 - 5*s\/7 + 36\/7.\nAnswer: -(s - 4)*(s + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 5. Let q(u) = 2*u**2 - 4. Let a(b) = -b**2 - 1. Let x(h) = -4*a(h) - q(h). Determine -8*s(y) - 5*x(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, c: 4}. What is prob of picking 1 z and 1 c?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/59908 and 67\/10?\nAnswer: 299540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019723 rounded to seven dps?\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -78*i**3 + 94*i**2 + i. Let a be 36\/(42\/7) + -12. Let h(x) = -x**2. Let p(v) = a*h(v) + u(v). Find the third derivative of p(z) wrt z.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-338)\/420 + 2427\/(-24270)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -115445017 and -3.\nAnswer: 346335051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 11*r - 9*r**2 - 2*r**2 + 3*r**2 + 9. Let y(k) be the first derivative of 5*k + 3*k**2 + 4 - 7\/3*k**3. Give -6*t(s) + 11*y(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -12306180 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.951 - 2.851. Let o = 3.1 - 2.9. Which is the nearest to -46? (a) l (b) -1 (c) o (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 - 222\/(-57)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) -2 (c) -0.2 (d) -3 (e) -296\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:05 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bah when three letters picked without replacement from bahaqqzm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108261 or -757829\/7?\nAnswer: -757829\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-143)\/66 + (-14)\/(-12) + -1. Let h(w) = -3*w**3 + 2*w**2 + 2. Let o(t) = t**3 - t**2 - 1. Give l*o(x) - h(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638956 is divided by 7323.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*u - 4*a - 285, 0 = -u + 5*a - 259 + 278 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 2*u + 1915 = -7*k, -u = 3*k - 1148. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 0 - (14 + -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4\/5 - 80844*x**3\/5 - 80793*x**2\/5 + 1293396*x\/5 - 323364 = 0.\nAnswer: -26947, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1583*m**3 - 1067*m**2 - 6*m. Let p(c) = 3165*c**3 - 2127*c**2 - 10*c. Let l(v) = -5*b(v) + 3*p(v). Find the third derivative of l(j) wrt j.\nAnswer: 9480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/21 (c) 7702877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -453999\/40 greater than -11349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -16. Solve 0 = -2*l + m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 75. Let f be (-10)\/(-18) - (-10)\/b. Factor f*z + 2\/3 - z**2.\nAnswer: -(z - 1)*(3*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/50 + 1 + (1 - 2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/4 - r**3\/3 - r**2 + 5*r - 9. Let b be w(0). Solve -q - 6*z + 2*z = 8, -4*q = -b*z - 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 27391788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7959, -7804, -7661, -7536, -7435, -7364?\nAnswer: -7329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 45 = 5*f, 4*n - 24 = -0*n + f. Suppose -25 = -n*b - 5*o, -b - 2*o = 2 - 7. Suppose 0 = -b*z + 2*z + 45. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (210\/(-168))\/(2\/8). Sort -7, s, -0.4, 0.2 in decreasing order.\nAnswer: 0.2, -0.4, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 40. Let q be 2 - (-27)\/(-12) - 1\/t. Suppose -5*g + g + 2*g = q. Solve g*y + 10 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1177 + 0.1175604. Round f to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v**3 + 0*v**3 - 5*v**3)*(v - 3*v + v) + 2*v**3 - 2*v**3 - 6*v**4)*(-2 + 0 + 1)*(v - 2*v - v).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1\/3 (c) -25 (d) 406.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 9:36 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580 and 7720235?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 12*y**2 + 13*y + 22. Let i be l(-11). Solve -178*z + 183*z - 20 = i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55\/13 + 139\/39. Put -2\/15, s, -12, -5 in decreasing order.\nAnswer: -2\/15, s, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3289 = -3*v, 0 = -2*v - t + 43 + 2128. Suppose 0 = 3*d + 1082 - v. Let 5\/4*x**d + 5\/2*x + 5\/4 = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-8)*j*j*j\/(j**5*j))**20)**(-9\/2))**16 assuming j is positive.\nAnswer: j**14400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 534, 0.9, -5?\nAnswer: 534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -5. Suppose 2*g - l*g = s - 18, -2*s + 5*g = -25. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 190 = -5*i, 41*h + 180 = -5*i + 45*h for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 731070 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 1. Let b be x(4). Let y(n) = 3*n**2 - 8*n - 5. Let d(i) = 4*i**2 - 8*i - 6. Let v(f) = 4*d(f) - 5*y(f). What is the units digit of v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 4. Let k be g(6). Let n(q) be the first derivative of -46*q**2 - 1 + 2 + 53*q**k + 3*q**4. What is the second derivative of n(r) wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/4 + 101*c**2\/8 + 637*c\/8 - 43 = 0 for c.\nAnswer: -43, -8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/36 + (-4)\/(-6). Does -13 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44185 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(13\/5 - 2). Let j(o) = -7*o**2 - 5. Let v(b) = -8*b**2 - 6. Let m(q) = n*v(q) - 4*j(q). What is the derivative of m(g) wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0422 and -3.0669.\nAnswer: -0.12942318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 65*h + 10. Let q(u) = 67*u + 13. Give -4*q(p) + 5*s(p).\nAnswer: 57*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -55. Let d be 6\/6 - (4 + y). Let a be (4\/(-8) - d\/2) + 9. Solve 3*k = -5*j - 10, j + k - a = -2*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 10:13 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -42?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 2:52 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let d = 9 + -7. Let v be j(d). Suppose -v*h + 9 + 25 = 0. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 734*p - 2 + 0 + 3 + 729*p in the form c*p + r and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:52 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1202\/2314)\/(-6*(-2)\/(-28)). Let d = 5\/267 - z. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -32. Let j be (3 + -6 - x)*-1. Put -4, j, -5 in increasing order.\nAnswer: -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {t: 3, b: 1, p: 4, m: 2, x: 1, e: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 84.51. Let a = -0.4 + -18.11. Let z = a - n. Which is smaller: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -19*l + 1715. Suppose 179 = f - 2*p - l, 5*f - 3*p = 2624. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*v**2 - 6*v + 6*v)*(-v - 1 + 1) + 471*v**2 - 471*v**2 + 83*v**3 in the form j*v + f + a*v**2 + u*v**3 and give u.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 3*h**2 - 4*h**2)*(-25*h - 113 - 157 + 231).\nAnswer: 25*h**3 + 39*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 + 145926*b.\nAnswer: 145926*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/(-7) + (-5)\/1. Suppose 4*f - 5 = -21, 0 = -2*b + z*f + 582. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*t + 48, -2*t + x + 2*x + 17 = 0. Solve -6*m - t = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1148 + 1148. Let w = 10 + -4. Let j = w + -10. Which is the nearest to j? (a) -0.1 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2. Suppose 3 - 7 = -2*f. Let l(p) = f*p - 6 + 6. Give m(l(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -318 + 946 - 310 - 318 + 740*n to the form g + c*n and give c.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by -85.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*((z*z\/(z*z\/z**(-5)*z))\/z)\/z*z)\/z*z))\/z**11)\/((z**(-5)\/z)\/(z**(2\/19)*z)) assuming z is positive.\nAnswer: z**(40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012998384 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265*i*n - 52*i - 17*n - 1825 wrt i?\nAnswer: -265*n - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1671 and -95\/4802454.\nAnswer: 4802454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 7*a**2 + a to the form j*a**2 + w + t*a and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -193503, -386996, -580475, -773934, -967367, -1160768, -1354131, -1547450?\n\"Answer: x**3 + x**2 - 193503*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34877 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: Let r(u) = -311*u**2. Let b(z) = -z. Give r(b(l)).\nAnswer: -311*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 108\/28 + (-116)\/29\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0341191 and -2.\nAnswer: -2.0341191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*o - 266361 = 2481828. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -136237, 3, 1\/4, -4 in descending order.\nAnswer: 3, 0.4, 1\/4, -3, -4, -136237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*v + 96 = -99*v. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202 - -242. Calculate the remainder when 148 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**5 - 2711*b + 29101*b**2 + 6*b**5 + 0*b**5 - 29157*b**2 wrt b?\nAnswer: 240*b**3 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 8:33 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-9)\/((-27)\/6). Suppose -q = -4*v + 21 - 6, j*v = 6. What is the tens digit of 141\/(q\/4*-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1125 - 1125. Let n(x) = -x**2 + 10*x - 4. Let j be n(9). Let s = j - 6. Which is the smallest value? (a) -2\/7 (b) 0.3 (c) s (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 - 125.3. Let g = h - -130.053. Round g to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 443 - 121400?\nAnswer: -120402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000296666145 to seven decimal places.\nAnswer: 0.0002967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5194 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2. Let d(w) = 376*w**2. What is u(d(a))?\nAnswer: 989632*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*c + 3, -2*g = 5*c + 12. Let k be (-4 - g)*-22 - 0. Suppose -4*x + 194 = -k. What is the highest common divisor of 26 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -29.137\nAnswer: 11.6548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -594.3 + 96.2. Let c = 497.5014 + p. Let j = c - -0.6. Round j to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v + 239. Does 3 divide j(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 3. Let w be p(3). Suppose 3*o - w*o + 63 = 0. Let x = -8 + o. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:29 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 - -27 - -29 - 16\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 287*f**2. Let i(g) = -50*g + 3. Give i(c(d)).\nAnswer: -14350*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1*((-4)\/8 - -1). Put r, 0, -2, -5 in ascending order.\nAnswer: -5, -2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -34 + 5 - (6 - 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -228.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500)*-3 - sqrt(15))\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: 4805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33505470 divided by -17?\nAnswer: 1970910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/5 - 5*r**5\/2 - 5*r**4 + 100*r**3\/3 + 72*r**2 - 530*r + 1. Find f such that t(f) = 0.\nAnswer: -2, -2\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3106946330.\nAnswer: 2, 5, 467, 665299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - 0.26. Let w = -36 - -35.9. Let p = -0.3 + w. Sort -2, u, p in decreasing order.\nAnswer: u, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -272460960 bigger than -272460959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*8294.687.\nAnswer: 4147.3435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1007\/9 + 112. What is the common denominator of r and 11\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d**3 + 5*d - 19. Let v(m) = -4*m**3 - m + 4. Calculate 11*v(f) + 2*y(f).\nAnswer: -2*f**3 - f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8036 - -11547. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/594)\/(7\/21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 2 s when four letters picked without replacement from ttsqtssttttst.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.21 - -13.24. Let g = z + 25. Which is the closest to 0.1? (a) -3 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -709*u + 8473. Calculate m(13).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (4 + -1*8). Suppose b = -g*b + 2*i - 12, i - 5 = 2*b. Let t(m) = -m**2 + m + 5. Let l be t(0). Sort -4, b, l in decreasing order.\nAnswer: l, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 75. Suppose -y*k + 0*k = -1062. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 17*s + 1 - 1 + 12*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 2*d + 11*o - 7*o, -3*d + 515 = 5*o. What is the highest common divisor of 34 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-11)*(-3)\/4. Let g = 11 + n. Calculate the highest common divisor of 72 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/7 + 3 - (18\/9 + 3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = -11. Suppose 5*l = -2*p + 24, 4*p - 2 = h*l + 18. Solve -3*b + 4 = -p*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -33. Let w be 3\/(-12) - (-1)\/h. Solve 0 = -2*f - 5*v, w*v + 6 = 3*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - o + 0*o in the form l + d*o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:27 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.683 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrdq when four letters picked without replacement from {d: 2, r: 3, i: 4, q: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 3*f**2\/2 + 1. Let d be p(1). Let s be (-4)\/(-6) + (-4)\/6. Solve -4*y + y + d = s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -3 (c) 1 (d) -5 (e) 0 (f) -3.0492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, o: 1, h: 1, y: 2, k: 3}. What is prob of picking 1 o, 2 y, and 1 p?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 8. Let i be r(4). Suppose -w = -4*w - 12. Let h be (0 - w)*22\/i. Calculate the highest common divisor of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 3 + -15 - (1 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*v + 8, -7*u + 5*v + 29 = -8*u. Which is the fourth smallest value? (a) -1\/5 (b) -1\/14 (c) -0.47 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n**3 + 2*n + 2. Let q be (7 - (-80)\/(-15))\/(5\/6). Let c(r) = -45*r**3 - 11*r - 11. Calculate q*c(y) + 11*x(y).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 13*k - 27850. Let v(c) = 3*c. What is j(v(q))?\nAnswer: 27*q**2 + 39*q - 27850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*c - 1218 = -14*c + 2*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:25 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75.9 + -81.27. Let j = -0.37 - a. Let i = -0.43 - 0.07. What is the closest to j in 0.2, i, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x + 2. What is the remainder when f(8) is divided by 14*((-91)\/(-26) + -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 3112 = -2852 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 3*a - 13. What is the remainder when d(10) is divided by (-243)\/1377 - 309\/(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 410 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 0. Suppose 2*s - b - b + 30 = x, 0 = 5*s + 4*b + 48. Let i be (-6)\/s + 30\/(-44). Is i smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(7*a**3 - 11*a**3 + 8*a**3 - 2*a**3 + 1 - 1 + 0*a**3 + 2*a**3 + 0*a**3 + (-1 - 2*a**2 + 1)*(-4*a + a + 2*a) + a**3 + 0*a**2 + 0*a**2).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 3. Let b be h(1). Solve -3*u - 2*n = 13, u + 0*n + 3 = -b*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + s + 3 = 0, 2*m + 2*s = -3*m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*f + 102, 0 = 2*x - 4*f - 65 + 25. Suppose 5*z - 290 = -x*z. Suppose k + g - 4 = -2, 4*k + 3*g = 6. Solve z = 5*o - k*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7)*j*j**(-1\/2))\/((j\/j**3)\/(j*j**(-2\/3)))*(j*j\/(j*j*(j**(1\/2)*j)\/j))**(1\/12)*(j\/j**(-1\/2))**17 assuming j is positive.\nAnswer: j**(535\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 82*u + 849 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 168*z - 172*z. Suppose -347 = 5*u - z. Sort u, 4, 3 in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 2*y + 108, 7 = -y. Calculate the highest common divisor of q and 22090.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2176*k**4 + 2 - 11*k - 32*k + k**3 - 2178*k**4 - 5*k**2 as r*k + b*k**2 + t*k**3 + n*k**4 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-3))\/2*9165\/(-1222).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84720 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4332468 and 42.\nAnswer: 4332468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*u - 26 - 55 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*p - 4*p. Suppose 4*z = p*z - 69. What is the remainder when (-26)\/(-104) + (-179)\/(-4) is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4086952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(-1)*s)*s**(-3\/7)*(s\/(s\/(s*s**(-1)*s)))**(1\/34)*((s**6*s)\/s*(s**(-1\/4)*s)\/s)\/(s\/(s*s**(-2\/3)*s)*s*s*s)**33 assuming s is positive.\nAnswer: s**(-40293\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 41.1 (b) -0.8 (c) 3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-60)\/80*(-8)\/(-2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.8 - 2.2. Let r = -58 - m. What is the closest to -1 in -1, -0.3, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-1\/13)*a*a**(-2\/11)*a*a**3)**(-20) assuming a is positive.\nAnswer: a**(-14000\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2882.72 and -4?\nAnswer: 2886.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 321542001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*q + 321, -2*q = -q - 3*x - 69. Let k = 377 - q. Is 35 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f**4 + 0*f**7 + 0 + f**2 + 1\/1848*f**8 + 0*f**5 + 0*f + 0*f**6 + 0*f**3. Factor z(r).\nAnswer: 2*r**5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/3, -0.05, -5, -8?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r = -55 + 277 + 192 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 6)*(3*a + 2*a - 3*a) - 424*a - 92359 + 92359 - 3*a + a + 0*a + (a - 1 + 1)*(-4 + 2 + 3) + 2*a + a - a + 4*a + a + 5*a as f + m*a and give m.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.734 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-12)*p**(10\/7))**11)**(-23))**(18\/13) assuming p is positive.\nAnswer: p**(336996\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - o - 3*o)*(1 - 2 - 9) + 2*o + 2 - 2 - 4*o + 0*o + 2*o in the form p*o + w and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8354962714 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -41. Suppose -5*w - 61 = -4*q - m, 3*w = q - 17. Let s(p) = p**3 - p**2 - 4*p + 1. What is the least common multiple of s(3) and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (355\/258)\/71*32\/(-40)\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n*(n*(n\/(n\/(n**(-10)*n)))\/n)\/n*n)\/n)\/n**5*(n**(-2\/3))**24 assuming n is positive.\nAnswer: n**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28781168 or -28781167?\nAnswer: -28781168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -844 in -4, -3, -0.5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1770 + -4)*4*4\/(-8).\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilometer in meters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15652 by -52.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6*r = -7*r - 684, -5*x + 1696 = r. Let a = -326 + x. Calculate the remainder when a is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 274105 - -0.07.\nAnswer: 274105.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 93 = 29. Let d(o) = -37*o - 85. What is the remainder when d(f) is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2 = 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2 - 4*d + 3. Let h(i) = 127*i + 133. Calculate the smallest common multiple of f(5) and h(-1).\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-4) - (-1 + 53)\/(-13). What is the closest to 3 in z, -5, -0.3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.09, -0.03, -376, 28 in ascending order.\nAnswer: -376, -0.3, -0.09, -0.03, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*(-4 + 1*sqrt(28)\/sqrt(4) + 4*sqrt(63)\/(sqrt(18)\/sqrt(2)))*3 + 0)**2.\nAnswer: -6000*sqrt(7) + 27700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(17) + 1*(sqrt(17)*1 + sqrt(17)).\nAnswer: 1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406139841 to the nearest integer?\nAnswer: 20153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3385 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1932000 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 5:31 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 26. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 62*k**2 + 2*k - 3. Let f be j(3). Let a be 1*f\/((-6)\/(-2)). Calculate the highest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x**38)))**(-9\/7)*x**(6\/11)\/((x\/((x*x\/(x\/(x*x**(2\/5)*x*x))*x)\/x))\/x) assuming x is positive.\nAnswer: x**(-17896\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 338635 and 153925?\nAnswer: 1693175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.09 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -19*z + 369. Let h(q) = 10*q - 209. What is 7*h(n) + 4*o(n)?\nAnswer: -6*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 15*t**2 + 8. Let o be b(-15). Let l = -6 + o. Let r be 3\/(-2) + 11\/l. Solve 5*m - 8 = 3*m - 4*c, 0 = -m - 3*c + r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-15)\/(-380))\/(9\/6))\/((-725)\/2075) and 133\/78.\nAnswer: 42978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 149*l**2 - 77*l**2 - 69*l**2. Let c(u) = -2*u**2 - 28. What is s(c(k))?\nAnswer: 12*k**4 + 336*k**2 + 2352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (3\/(-3) - -60). Let y = 181\/3 + o. Let v = -0.162 - 0.238. Which is the closest to y? (a) 2\/11 (b) v (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*q - 930 = -278*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 50697640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpcm when four letters picked without replacement from {p: 1, c: 2, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 - (0 + (-8 - -5) + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let m(y) = -35*y - 12. Let f(u) = 24*u + 8. Let n(v) = 7*f(v) + 5*m(v). Determine g(n(t)).\nAnswer: -98*t**2 - 112*t - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*c + 6, -o - 4 + 6 = 3*c. What is the remainder when (-6 - -5)\/(4 + (-45)\/10) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-376)\/2*1\/31. Let f be 5556\/372 - 3\/(-4). Let w = p - f. Find the common denominator of 31\/4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1125.6 times 0.24061\nAnswer: 270.830616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (349525\/(-33))\/25 - 1*-5. Let l = r - -419. Put -0.02, -4, l, -0.1 in ascending order.\nAnswer: -4, -0.1, -0.02, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80262*i**5 - 1153*i**4 + 193210665*i**2.\nAnswer: 4815720*i**2 - 27672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2975 + 849 = 0. Suppose -2*z + a - 877 = 0. What is the remainder when z is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10978 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 32. Let d be n(12). Let s be d\/(-84) - 8\/12. Factor s*f + 0 - 9\/7*f**2.\nAnswer: -3*f*(3*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*h - 2*f**2*h - f*h - 4*f - 2*h - 320 wrt f.\nAnswer: -6*f**2*h - 4*f*h - h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 240 = 4*f, 3*f - 7*v - 175 = -6*v. Solve -f*j + 7 = 178 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -922569.6 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 1, z: 1, o: 2}. What is prob of sequence zopj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9016.339m in kilometers?\nAnswer: 9.016339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 77*l - 64*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (-76 - (-17 + -10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 216, 173, 58, -165, -532, -1079?\n\"Answer: -6*x**3 - x + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -1\/2*g**2 - 7*g + 27. Calculate l(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2131 - -2405. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.502 rounded to 1 dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 1 + 0*v + 0*v**2 + 1\/720*v**6 + 2\/3*v**3 - 1\/80*v**5 + 1\/24*v**4. Let p(q) be the third derivative of y(q). Solve p(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 - 188. Solve n*l = 6*l - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7315149.999993 - 7315157. Let l = 7 + b. Round l to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(120) + (3*(3*sqrt(120) + sqrt(120)) - sqrt(120)))\/sqrt(10) + sqrt(36)\/(-3*sqrt(12) - sqrt(3)))**2.\nAnswer: -996*sqrt(3)\/7 + 83109\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2502\/14595*(-7)\/4\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {b: 3, j: 13, p: 3, k: 1}.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1221 - 441. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-22)*2*-2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3717 by 3.\nAnswer: -1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k - 28. Let d be u(-10). Suppose -4*h = 4*s - 36, 3*h - d + 0 = 2*s. Calculate the highest common factor of h and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/6, -1\/5, 0.3, 4.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - -14. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 89*h + 356. Let n be q(-4). Solve n = -10*l + 16*l + 36 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 755092 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 + -3.7. What is the second biggest value in 5, 68\/7, -0.2, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 229349520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*3*(-2)\/3. Suppose -t + d*t - 45 = 0. Let g = -750 + 755. What is the highest common factor of g and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 3. Solve -t + h*t = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30981, -2\/13, 1, -2.\nAnswer: -2, -2\/13, 1, 30981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -93, -133, -157, -159, -133?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 27. Suppose -18*l = -20*l - 30. Let q be a(l). Suppose -q*p + 232 = p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 * 2\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (27\/5355*17*10)\/(30\/(-56))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -67*b - 9. Let q(r) = -33*r - 4. Let c = 14524 - 14537. What is c*q(a) + 6*j(a)?\nAnswer: 27*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73574573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by -15\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32318545 + 3 + 0 + (3 - 3). Suppose 0 = 20*w - r - 20281452. Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 555 + (-28)\/(56\/(-8)). What is the greatest common factor of 39 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 4 + 0 - 14*s.\nAnswer: -14*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -0.01. Let r = g + -0.0800048. What is r rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -735*w - 382*w + 222*w to f + m*w and give m.\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 5224?\nAnswer: -5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13173 and 4.517357.\nAnswer: 13177.517357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 140 = -4*f, -f - b = b - 35. What is the greatest common factor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4073 = -5*i - 1912, 2*h + 4*i = 11914. Suppose 3577 = 3*l + 2*c, -4*c + h = -5*l + 10*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 102. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99.4716 - 2755\nAnswer: -2655.5284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 607*m**8\/168 + m**4\/6 - 19*m**3 - 9*m**2 + m. Find the second derivative of x(g) wrt g.\nAnswer: 24280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 2}. What is prob of sequence vv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2736)*-2*-4 + 3 + sqrt(152)\/(sqrt(8) + sqrt(40)\/sqrt(5))).\nAnswer: 6 + 193*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -579\/2*l**2 + 3\/4*l**3 + 0 - 582*l.\nAnswer: 3*l*(l - 388)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*v = 5 + 35, -24 = 3*p + 4*v. Suppose 0 = 4*a - a - 12. Let z be (6\/p)\/((-1)\/a). Calculate the greatest common factor of z and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 6, m: 6, w: 4}. Give prob of sequence www.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:02 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 256 + -236. Calculate the greatest common divisor of y and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + 25. Suppose 3*c = 4*r - c + h, 85 = -5*r + 4*c. Let s = r - -13. Let w(l) = l + 3. Give w(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2 + p - 1 + 0*p - 2*p. Let j be x(-3). Let d(t) be the second derivative of t**4\/12 - t**3\/6 + t**2 - t. What is d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1968403386.\nAnswer: 2, 3, 211, 1554821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7020 - 8?\nAnswer: 7014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldaddlyldyl. What is prob of picking 1 y and 2 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 678 - 574. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - h = -4*x + 15*x - 7*x, 4*x + 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 271626 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = -7144. Let v = -1\/136 + 1871\/136. Calculate the common denominator of k\/(-144) - 2\/9 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 51?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*i + 934, -4*w = -5*i - 113 + 1667. What are the prime factors of i?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**(5\/2)*v)*v)\/v)\/(v*((v*v\/v**(-8))\/v*v)\/v))\/(v*v*v*v*v**13)**(-33))**36 assuming v is positive.\nAnswer: v**19746","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 396 = 2*l. Calculate the least common multiple of l and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18\/r)\/r**(-1\/16)*r**(7\/3)*r*r\/r**(-2\/59) assuming r is positive.\nAnswer: r**(60689\/2832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50305 is divided by 24514.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 200*b**2 - 424*b + 5545. What is m(198)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 15*r**2 + 31*r - 46. Let w be s(-17). Suppose 0*k = w*p - k - 2712, 3*k = -p + 552. List the prime factors of p.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-50))\/(((-143)\/(-11))\/(-260)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*f - 0*f. Suppose -f*b + 311 = 3*w, -2 = 10*b - 9*b. Suppose -3*h - w = -629. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2790 and 2170?\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.657944 millilitres in litres?\nAnswer: 0.007657944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 3*d**4 - 37 + 37 + (-5*d**2 + 5*d**2 + d**3)*(3*d + 2*d - 4*d) - 6*d**4 + 6*d**4 - 14*d**4.\nAnswer: -10*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 2\/(4\/10). Let d be ((-20)\/(-8))\/1*-52 - j. Let k = -89 - d. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + (0 - -1) + -3. Let o be -4 + -1 + (4 - -4). Solve -5*j - q - t = 0, -o*j - 2*j = -5*q - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 993481835, 1986963671, 2980445507, 3973927343, 4967409179?\nAnswer: 5960891015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 2*f**2 + 654*f + 184623923 - 184623923 as c + o*f**3 + k*f + w*f**2 and give k.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 34*r + 38. Is i(-17) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 4. Suppose 8 = -5*t + 63. What is the greatest common divisor of t and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iinliiniullluuu. What is prob of picking 2 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.3358197\nAnswer: -0.13432788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 8*o + 124 = 37 - 39, 2*n - o - 27 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15887815 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*1*-2*(-7)\/35. Suppose q = m*o + 13 + 2, -q + 20 = -3*o. What is the smallest value in 2\/21, 3, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372515, -372499, -372459, -372383, -372259, -372075, -371819?\nAnswer: -371479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -83, -39, 31, 133, 273?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by -7 + 4\/(-12)*-141.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23824 - 23824 + 1205*j.\nAnswer: 1205*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.1 (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:41 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 49 = -5*v, -v = -139*r + 134*r + 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18*y + 139. Determine f(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:27 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 4*t**2 + t + 28. Let c(v) = -v**3 + 3*v**2 + 24. Determine -7*c(s) + 6*j(s).\nAnswer: -5*s**3 + 3*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 543 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86595*d + 86595*d + 0 - 5*d**2 + 0.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16837887 is divided by 7208.\nAnswer: 7207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*z + 9*z. Suppose -3*b + 11 - 2 = -5*i, -5*b - z*i = 22. What is the tens digit of ((-71)\/b)\/(6\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36656 in -2\/9, 5, -0.093?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 8:05 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 + u**3 + u**2. What is the derivative of x(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77171.\nAnswer: 77171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -547250509*u**3 + 450296653 wrt u.\nAnswer: -1641751527*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:17 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(125))**2*-6.\nAnswer: -27000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30438 and 3762.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u + 0 - 1\/150*u**5 - 7*u**2 + 0*u**3 + 1\/60*u**4. Determine d so that h(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1876392 and 4896.\nAnswer: 7505568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 514\/187 + -27\/11. Let i = r + -69\/119. Suppose -3*x = -3*u + 21, 0 = -2*u - 0*x + x + 9. What is the closest to i in u, -4, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41572 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6752*u + 1273. Does 186 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31397, 62996, 94595, 126194?\nAnswer: 157793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(20) - (sqrt(20)*-1 + sqrt(20)))\/sqrt(4)) + (sqrt(5) + (sqrt(80) - sqrt(5)) + -2 - sqrt(5))**2.\nAnswer: -12*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from cxccxc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3634680454.\nAnswer: 2, 67, 404843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 455, 681, 907, 1133?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 56.5. Let f = -25 + y. Let s = -0.6 - 2.4. Sort -0.4, f, s in decreasing order.\nAnswer: -0.4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -10)\/(-2) - (1 + -13). Suppose -3*r - 2*r + b = 0. Solve -r*p + 4 = -5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 159, 221, 303, 405, 527, 669?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 47, 161, 319, 521?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - v - 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363 by -2.\nAnswer: -363\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86.17154 millilitres?\nAnswer: 0.08617154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258 + 0*s**3 + 3*s**3 + 100 - 4*s**3 to the form g*s**3 + x*s**2 + p + j*s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4 - 3114*o**3*z**2 + 3*o*z + 501*z**2 wrt o.\nAnswer: -12*o**2 - 18684*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and 22.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*i + 4, -h + 5*h - 5*i + 1 = 0. Let v be 6\/3 + -3 - 1. Let y be (-1)\/(v\/6 - 0). Sort 5, h, y in descending order.\nAnswer: 5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4 - 1) + -3 + 9 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rorwwwrrrowrrwwor. Give prob of picking 3 o.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67560000 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -74. Put 5, -4, h, -1\/2 in increasing order.\nAnswer: -4, -1\/2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 - -5 - (4 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(704) + sqrt(704))**2 + -1 + sqrt(1100).\nAnswer: 10*sqrt(11) + 2815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/45 + 118*b**4\/9 + 27848*b**3\/9 - 345*b**2. Suppose i(k) = 0. Calculate k.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = 40. Calculate the lowest common multiple of 22 and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -11. Let m be 0\/((-3 + c)\/(-2)). Solve p + 2 + 1 = m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529954 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 172368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130322420 + -101?\nAnswer: 130322314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g**2 - 1. Let a be y(-2). Let t = -19 + a. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from xhouuxhxhh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 601907\/22580 + -15\/2258. Let j = c + -79\/4. Let y = 2503 + -4909\/2. Find the common denominator of j and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 14 + 74 = 0. Suppose -p*j + 9 = -165. Let t = -3 + j. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1708681 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450, -1189, -2488, -4605, -7798, -12325?\nAnswer: -18444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**4 - 5303457*b**3 - 28002207*b**2 wrt b.\nAnswer: 120*b - 31820742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 397807 to the power of 1\/2, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 7*w - 4. Let i(h) = 5*h**2 - h. Let z be i(-1). Let u be n(z). Solve u*d - 5 = -3*b, b = -2*d - d + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)*1 + 3\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and -4605408.\nAnswer: 10592438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -2 (c) 5\/4 (d) -0.2 (e) -1100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 84600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 74.1. Which is smaller: s or -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + v = -268, -5*l = 2*v - v - 262. Let i = l - 33. Calculate the smallest common multiple of i and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.137 + -13.2. Let o = h + 5.063. What is the smallest value in o, 0.06, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b72a20 - -136?\nAnswer: -b728a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*a**5 - 212*a**4 - 732*a**3 + 8108*a**2 + 25772*a + 17160 = 0. What is a?\nAnswer: -5, -2, -1, 33\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l - 20. Let i be v(2). Let h(g) be the third derivative of 0*g - 1\/6*g**3 + 0 + 1\/30*g**5 + 2*g**2 - 1\/24*g**i. What is h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + j + 0*j + 0*j + (41*j**4 - 5*j**4 - 5*j**4)*(-2 + j + 2).\nAnswer: 33*j**5 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-14) - 489\/1141. Which is the smallest value? (a) -1 (b) m (c) -5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1624 = -88*j - 318*j. Let h(r) be the third derivative of 1\/8*r**j - 3*r**2 + 3\/2*r**3 + 0*r + 0. Determine h(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 6843 = 7449. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 23*x - 1. Let h(j) = -8*j. Let z = 47 - 53. Let v(d) = z*k(d) - 17*h(d). Calculate v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**2 + 5*w + 7. Suppose -2*p - 5 = -3*p. Let n(v) be the first derivative of v**3 + v**2 + 3*v + 20. Give p*n(y) - 2*z(y).\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75796, 598533, 2017392, 4780435, 9335724, 16131321?\n\"Answer: 74677*q**3 - q**2 + q + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*i = -164, 2*w + w - 5*i = 191. Suppose -w = -4*r - 32. Suppose r*t = 67 + 143. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10859651?\nAnswer: 11, 17, 58073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 + 39*a - 87. Let d be l(10). Let p(x) = -x**2 - 4*x. Let v(u) = -5*u. Give d*p(b) - 2*v(b).\nAnswer: -3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 2874 (c) -6 (d) 3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:12 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7))**(-5\/4) assuming m is positive.\nAnswer: m**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175 + 173.06. Let r = -0.06 + o. Let k = -159 + 160. What is the second smallest value in k, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -53226660 and -15435155.\nAnswer: -68661815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -12*p**7\/35 + p**6\/60 + 161*p**4\/24 - p**3\/2 + 2851*p**2. What is the second derivative of b(g) wrt g?\nAnswer: -864*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 12:47 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/o**4*o**(-2)\/o**(-4\/9))**(2\/13) assuming o is positive.\nAnswer: o**(-190\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -1 - 14. Let q(g) = -g - 2. Let k be q(p). What are the prime factors of k - (-3 - (-2 + 24))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, -1, 1, 5, 11?\n\"Answer: o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x + 4*x. Let z be 1 + -1 - (x - 1). Suppose 2*l + 3 = -0*l - q, z = 3*l + 5*q + 15. Solve l = n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**2 - 9*s**2 + 9*s**2 in the form q*s + m*s**2 + y and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 9:39 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1501*p**4 - 16*p**3 + 57*p**2 + 135?\nAnswer: 36024*p - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/8 (b) -4 (c) 7814\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/(-24)*3*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {a: 2, d: 2, x: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*t = k + 7, 2*k = -2*t + 10. Let g be (-1)\/3*0*-1. Suppose g = -4*x - u + 9, 4 = u - 1. Calculate the highest common divisor of x and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 141060.\nAnswer: 141060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b**14*b*b)\/b)*b)\/b)\/(b**7*b)*(b*b**(-18)\/b)\/b*b*b**9 assuming b is positive.\nAnswer: b**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9884683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-286)\/(-24))\/(-11). Let b(z) be the second derivative of -1\/3*z**3 + z + 0 + q*z**4 - 7\/2*z**2. What is b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4508, 8011, 11514?\n\"Answer: 3503*w + 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**4 - 3466*q**3 - 1494704*q**2 + 1505112*q + 2996352 = 0.\nAnswer: -918, -816, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -5, -6\/5, -8?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.93944 nanoseconds in minutes?\nAnswer: 0.000000001882324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 25, 58, 115, 202, 325, 490?\n\"Answer: r**3 + 3*r**2 - r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34025, 33351, 32681, 32015, 31353, 30695, 30041?\nAnswer: 29391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9546566 to 2 dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49861114 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 23. Let d be 3 + -11 + 1*3. Let j(o) = 6*o + 34. Let m(g) = d*j(g) - 7*r(g). Calculate m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*d - 26*a*m + a - 2*d*m**2 - 8*m**4 + 2 with respect to m.\nAnswer: -26*a - 4*d*m - 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66*((-6)\/64)\/(-3) and (0 - 287\/28)\/(9\/6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9615424 and 1637792?\nAnswer: 298078144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x + 8. Let y be b(-4). Let q be -4 - (-1 + 39\/y). Put -5, 4, q in ascending order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a factor of 12433837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d4859 (base 14) in base 2?\nAnswer: 1111101000000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2dc + -2a?\nAnswer: 2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 588 = -589 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/54*9\/(-10)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2714 and 719?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16475963 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5643\/(-95))\/(-27)*5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -da54 (base 14) to base 10\nAnswer: -37706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1480030 and 2?\nAnswer: 1480030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + -1 + -4*(sqrt(567) - (-5 + sqrt(567) + 2 + sqrt(567) + sqrt(567)))**2.\nAnswer: -9103 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z - 2. Let f be g(9). What is the remainder when (-9)\/(-27) - f\/3 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, -189, -687, -1357, -2187, -3165, -4279, -5517?\nAnswer: -6867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24917 is divided by 4150.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573826219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 149.64201 months?\nAnswer: 12.4701675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(sqrt(110)\/(sqrt(10)*-2) - sqrt(99)*-1) + (-2*sqrt(275) + 0)*4)**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573 divided by 1957?\nAnswer: -1573\/1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 7) to base 11.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:55 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12923623855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*d = 70762 - 536944. Calculate the greatest common factor of 396 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + (sqrt(162)*-1 - sqrt(162) - sqrt(162)) + sqrt(162) + sqrt(162) + -1 + -5)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5055 (base 8) to base 15\nAnswer: b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9157642*n**2*s**3 - n**2*s**2 + 2*n**2*s + 1508890*n*s**2 + 6*n + 3*s wrt s.\nAnswer: 54945852*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3101291 by 6.\nAnswer: -3101291\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-477)\/(-21) + ((-6692)\/(-98) - 69)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = -2*n - 10, 3*j + 5*n = -66. Let t = -13 - -8. What is the third smallest value in t, j, -1, 8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 54*c. Let s(q) = -q**2 - 2*q. Give s(d) - v(d).\nAnswer: -d**2 - 56*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let i(a) = -93990*a**2. Calculate i(h(f)).\nAnswer: -375960*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 16. Let h be p(0). Let d = -37 - -11. Let n be (6\/d)\/((-24)\/h). Which is the closest to -1? (a) 1\/9 (b) 1\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 26 - 16. Suppose -10 = -5*o + l*d, -2*d + 6*d - 36 = -4*o. Calculate the remainder when 41 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(891))**2*2.\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-2) + (-740)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -45. Let x(h) = -37*h + 2. Let a(o) = 74*o - 3. Let t(g) = m*a(g) + 5*x(g). Let f(v) = -25*v + 3. Let s(i) = 7*f(i) - 5*t(i). Give s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53705769*d**3*k - 259*d**2*k + 62959*d*k wrt d.\nAnswer: 322234614*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-6 + (10 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/460 and -83\/6.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-2) - (-344 + -31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 103418717?\nAnswer: -103418720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6651)\/(-33) + -1 + 2. Let b = d + -27187\/132. Calculate the common denominator of (-460)\/24 + 2\/(-6) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-4*i + 3*i + 2*i)*(-2 + 0 - 6) + (1 - 3 + 1)*(2 - i - 2).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4*n**2 + 4*n + 3. Let p be v(-2). Solve 3*g + p - 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1211.6 + -1212. Which is the closest to 2? (a) 5 (b) 4\/7 (c) f (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -494, 1, -5, -4, 4, -2 in ascending order.\nAnswer: -494, -5, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -61b534e?\nAnswer: -61b5349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 + 3 = 0, 45 = 2*y - 5*x. Suppose -5*h = v + 16, 0 = 3*v + 4*h - 2 + 6. Suppose 0 = -v*j - 5*f + 18, 4*f - f - 12 = -3*j. Is j <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 7*y**2 - 6*y + 4. Let t(p) = -5*p + 27*p - 30 - 12*p - 13*p. Let c be t(-8). Determine d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407245 + 4*x**2 + 814488 + 3*x**2 - 407243 - 3*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 + 3.88. Let s = 4.3 - i. Which is greater: 1\/2 or s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 168 = -2*t, 3*k + 0*t - 100 = t. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 3*t**2 + 7*t - 11. Let s be b(4). Let a = 12 + -10. Solve -a = q - s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -16 + 22 + (5 - -5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5280 and 33436920?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*s - 32. Let r be 3*(4 - s\/9). Let u = -31 - -43. Is u not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-9*(-299)\/1242).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - l**2 - 11 + (-5 + 5 + l)*(-3*l + 2*l + 0*l) + (-4 + 4 + 2*l**2)*(1 + 3 - 1).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -11\/3 (c) -1178683 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 22*g**2 + g + 1. Let c(w) = 3*w**3 - 57*w**2 - 2*w + 109. What is -c(q) - 2*z(q)?\nAnswer: -q**3 + 13*q**2 - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/9946?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 + -154.55. Round s to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-10)\/(-3)*84\/(-70). Suppose -12 = 6*g - c*g. Let k be (g\/10)\/((-30)\/(-100)). Solve k*d = -2*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1781879 by 161989.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -155 from -0.1.\nAnswer: 154.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2721128.\nAnswer: 2, 29, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 773815446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -1.681\nAnswer: 0.05043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111111100111 + -11?\nAnswer: 1101111111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q - 510*q**3 - q**2 + 2 - 30*q + 509*q**3 as d*q**2 + w*q**3 + o*q + j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/((-66)\/18))\/((-6)\/20). Solve -3*d = 1 - k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586934 is divided by 11506?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3 + 29*x**2 - 28*x = 0. What is x?\nAnswer: 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 933, 2, -10 in increasing order.\nAnswer: -10, 0, 2, 933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249669 is divided by 314.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 55 = 5*r - 3*q, -4*r - 5*q = -15. Let z(b) = -4 + 0*b - b - b + r. Calculate z(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (392670\/418848)\/((-370)\/(-32))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 8*h**2 - 13*h - 12. Give p(-8).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202042124 (base 7) to base 4.\nAnswer: -230322310121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4)\/v)**(1\/3))**(-5\/8)\/((v**1*v)**(6\/7))**(12\/11) assuming v is positive.\nAnswer: v**(-11129\/7392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*l + 12*l + 321440 = 0. Calculate the remainder when l is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(3 + -6 + (3 - -6)). Let l be 1 + 61 + (-2 - 0). Calculate the highest common divisor of b and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*n*q**2 + 3*n*q - 20919*n - q**2 - 15*q wrt q.\nAnswer: -8*n*q + 3*n - 2*q - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 (base 7) in base 3?\nAnswer: 20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 652163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2213102330200?\nAnswer: 2213102330123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v + 3*v**5 + (v**2 - 2*v**3 - v**2)*(-24*v + 5*v - 3*v**2 + 4*v**2 - 1 + (2*v - 4*v + 0*v)*(3*v - 2*v - 2*v)).\nAnswer: -3*v**5 + 38*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*t = -9*t - 80, 4*t = -5*j - 320. What are the prime factors of ((-909)\/(-6) + 3)*(-440)\/j?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iooro. Give prob of picking 1 i, 1 o, and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2 + 7742*o + 14984641 = 0 for o.\nAnswer: -3871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 11) + -9 - -12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 15*p + 4*z + 5614 = 0, -z - 5611 = -2*p. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**2 + 5*j + 208. Calculate i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 6062?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8611 + 491. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 27 - 3*p + p**3 + 0*p - 20 + p**2. Let v be g(-3). What are the prime factors of ((-3024)\/81)\/(0 + v\/6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(-1 - 9). Let l = 28 + -42. Let p be (-49)\/l*4\/7. Solve -p*k = 5*y - k + 7, y - j*k = -17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 40. Let d be -2 - 3\/(6\/(-154)). Calculate the highest common factor of v and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35345?\nAnswer: 5, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(38830833\/(-1701) - -2*2\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 666\/28 + -24 + (-1)\/(-2). Let v be 1\/(-3) - (-4)\/3. Is m less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t + 2*t)*(9 + 63 - 2)*(0 + 8 - 1) - 4*t + t + 5*t + (1 - 3 - 1)*(-t + t - 2*t).\nAnswer: -972*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7 = -0*k - k, -k = 3. Suppose -6*b - 40 = -2*b. Is (6\/b)\/(c\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1582, -2976, -4372, -5770, -7170?\nAnswer: -8572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n**3 - 5*n + 3. Let p be v(-3). What is the highest common factor of 44 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 9) to base 11\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*u + 35 - 21, -4*f - 10 = u. Calculate the remainder when 302 is divided by 28 + -3 + (f - -2) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 3. Let l be i(2). Let x(o) = o**2 - 5*o + 1. Let m be x(l). Find the common denominator of (705\/(-10))\/(m*6) and 55\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7038225*s. Let j(u) = 7*u. What is j(l(f))?\nAnswer: 49267575*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:24 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5.2. Let p = r + 0.9. Let c = -1.4 - p. What is c rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453a4 (base 13) in base 8?\nAnswer: 365656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -143. Solve n - 3*n + 10 = a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*o - d - 13, 3*o + 21 = -3*d. Let c be (-32)\/o*9\/(-6)*-2. Solve 0 = f + 2*f - 9, 4*f - c = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00274596995 rounded to five decimal places?\nAnswer: -0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2092 or 106648\/51?\nAnswer: 2092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:43 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169950*r = 169866*r - 3108 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 + 109 - 50) + -27 - (5 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5 - 8310371*r**3 - r**2 + 45321460*r wrt r.\nAnswer: 20*r**3 - 49862226*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17815572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11145*x**4 + 2*x**3 - 11145*x**4 + 19*x**5 + (-x**3 + 0*x**3 + 0*x**3)*(-x**2 + x**2 + x**2).\nAnswer: 18*x**5 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t + 9. Let z be q(5). Let n be (0 + 1)*(z + -1). Let o be n\/(-245) - (-4)\/(-14). Which is the second biggest value? (a) 2\/13 (b) 3\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.9 and -0.6398.\nAnswer: 21.2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b008 - -4?\nAnswer: b010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60373*o - 180 = -60358*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7820.7051 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15704756 a multiple of 1028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2433942 and 189?\nAnswer: 2433942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/16*(0 - 10). Suppose w - k = -q, 3*q = -w + 20 - 3. Calculate the remainder when q\/15 + 804\/15 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d6 - -137?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35528993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -h + 9. Suppose -2*p = 2*o - 90, -23*o + 225 = -18*o - 4*p. Calculate the remainder when h is divided by o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0*c**2 - 1\/5*c**3 - c - 7\/60*c**4 - 1\/100*c**5 + 3. Factor l(v).\nAnswer: -v*(v + 1)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 0*g - 78. Let j(r) = -7*r + 58 + g*r**3 + 2*r**2 - 58 + 8*r. Calculate j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 1768*j**4 - 302374*j**3\/3 + 96346*j**2 + 197188*j - 5152\/3 = 0.\nAnswer: -1, 23\/2652, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/7, -15.9, 3, 5, -14 in ascending order.\nAnswer: -15.9, -14, -2, -4\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*t - 2*f, 21 = 5*t - f + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 60*v - 27*v + 5 - 28*v. Let o(k) = -5*k + 1. Let t be o(-1). Let h(x) = 6*x + 6. Give t*h(m) - 7*j(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h**3 - h**2 - 1 - 17*h**3 + 41*h**3 + 7*h**3 + 0*h**2 in the form r*h + t*h**2 + c + m*h**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u + 4 = 0. Let c = -2065 + 2061. Put u, -5, c, 0 in increasing order.\nAnswer: -5, c, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4230 in 682, -1\/2, 5?\nAnswer: 682","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzbzzzzzzzzzzzzz. What is prob of picking 1 z and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6) - ((-4)\/(-3))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9080532.7 times -0.04\nAnswer: 363221.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 6. Let m be g(-7). Let x be (m*3)\/((-15)\/(-10)). Suppose 60 = x*b - 222. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 112?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o - 39 = 44*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v + 164. Let q be a(26). Suppose 5*m - q*u + 7*u = 105, 0 = -3*m - 2*u + 50. Let l(g) = 2*g**2 - 39*g - 20. What is l(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (1 - (-3)\/(-6))*44 and ((-4)\/5)\/(51\/(-765)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 7) to base 13\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*d + 14. Suppose -w + 123 = 4*m - 2*w, w + 59 = d*m. Let i be (-207)\/(-4) + 8\/m. What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1029, 5, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9401 + 1451. List the prime factors of i.\nAnswer: 2, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86933518 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -416.02*-18\nAnswer: 7488.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120411666 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10511 * 0.3.\nAnswer: 3153.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47823a - 4?\nAnswer: -478242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -859\/61138 + 3\/397. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*j - 219*j - 4*w + 120 = 0, 5*j - 77 = -3*w for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 8 + 20. Let o(r) = 3*r - 1 + 27068*r**2 - 1 + 9259*r**2. Let i be o(x). What is i rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 - p**3 - p**3)*(-2*p + 1 - 1) + (0 + 3 + 4)*(57*p**4 - p - p - 119*p**4) to c*p**4 + i*p**2 + t*p**3 + f*p + y and give c.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 + 269*i - 1650 = 0. Calculate i.\nAnswer: -275, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 48, -48 in descending order.\nAnswer: 48, 4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (11 - 1)) + (-119 - -113) - 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 61. Let l(c) = -277*c - 250. Let b be l(-1). Calculate z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 225?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -12020?\nAnswer: 12016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -33. Let t be 20*(-4 + (-44)\/(-10)). Suppose -4*n + t = -0. Solve -5 = 3*x - n*m, 3 = -x + m + h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -9\/1124522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 76583?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = b - 4*x - 4, 0 = 3*x - 6. Let i = 178.5 + -181.5. Let w be (4\/(-10))\/((-12)\/10). What is the third smallest value in i, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (5 - (4 - 4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*d + 4*g + 116, -19*d + 7*g - 6 = -18*d + 4*g for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-95))\/(-1)*-8 + -2.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**2 + 11*s - 11. Suppose 3*j = j. Let r = j - -6. Let q(k) = -9*k**2 - 10*k + 10. Let y(g) = r*v(g) + 7*q(g). Factor y(w).\nAnswer: -(w + 2)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 d when three letters picked without replacement from duuuuyuyduddu?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szicsszzzwzc. Give prob of picking 1 i and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 39, -14, -1\/6 in decreasing order.\nAnswer: 39, 4, 2, -1\/6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -920576, -920578, -920580?\n\"Answer: -2*h - 920574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, a: 2}. What is prob of picking 1 b and 1 a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*k**4 + 1604740*k**3 - 282790082*k wrt k?\nAnswer: -480*k**2 + 9628440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(18)\/sqrt(2)*-3) + -6*(sqrt(3) + -1) + (sqrt(3) + 0)**2*1.\nAnswer: -19*sqrt(3)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 4*p - 10. Let t be k(-6). Let b(n) = -372*n**t + 191*n**2 + 199*n**2. Let u(d) = -d. What is b(u(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 29462.\nAnswer: 29449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2669680 (base 10) to base 5.\nAnswer: 1140412210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/12 - u**2 - 5*u - 10. Let g(h) = -h - 3. Let w be g(0). Calculate i(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - 2. Let b = -0.03 - 1.97. What is the nearest to 2\/5 in i, 5\/2, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 3 (c) -3 (d) -1847\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 3, -3\/2, -3.5, -2.6 in ascending order.\nAnswer: -3.5, -2.6, -3\/2, 2\/25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) -4 (c) 259 (d) -7 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9409*w**4\/6 - 7669499*w**3\/3 - 6253487809*w**2\/6 - 257758420*w - 15941400.\nAnswer: -(w + 815)**2*(97*w + 12)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/25*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 56. Solve 0 = -3*u + a + d, 2*a = -0*u + 4*u - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0227126963 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - -0.399. Let k = s - 0.289. Is -44 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d*d**(-4)*(d**(1\/3))**(25\/2))**(-5\/8) assuming d is positive.\nAnswer: d**(115\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 71106530036 + -3\nAnswer: 71106530033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + m**2 + 3. Suppose 0 = 5*y - 3*w - 12, 0*y + 3*y = w + 4. Let r be j(y). Solve r = v, -5*v = 2*c + 3*c - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = k. Suppose 5*h = -4*p + h + 120, k = p + 5*h - 22. Let v be (-33)\/(-7) - 6\/(-21). Solve -3*o - 3*z = 0, 5*o = v*z - 2*z - p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((750\/12)\/(-25))\/(2\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(3) + 2*sqrt(3) + -2).\nAnswer: -15*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 205*i**2 + i + 1. Let j be g(-1). Let a = 319 - j. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -1\/2*j**3 + j - 3\/2*j**2 + 1\/6*j**4 + 0. What is the units digit of f(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*30\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -3, -4, -24, -5 in descending order.\nAnswer: -3, -4, -5, -24, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-1\/14))\/l)**(16\/11))**(-7))**(-27) assuming l is positive.\nAnswer: l**(216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*33.2\nAnswer: 6.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17689.329 months to millennia.\nAnswer: 1.47411075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Suppose -3*r = 4*d - 243, 0 = o*d - 0*d + r - 301. Is 61 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 19)*2\/(-4)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**6*q + 113*c**6 + 15*c**3 - c**2 - 7*c*q - 879 wrt c?\nAnswer: 840*c**3*q + 13560*c**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1867, -0.02, 1\/6, -1\/5, 0.1, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/3)\/a**5)**(-22) assuming a is positive.\nAnswer: a**(418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223.9398333 - -0.0689.\nAnswer: -223.8709333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - -1*sqrt(2448)) + (sqrt(17) - (sqrt(153) - (sqrt(153) - sqrt(153)*-2))\/sqrt(9)) + (sqrt(136) + 2*sqrt(136)*4)\/sqrt(8))**2 + 2.\nAnswer: 10627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753746 is divided by 5667?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17169, -136932, -461943, -1094826, -2138205, -3694704, -5866947, -8757558?\n\"Answer: -17104*q**3 - 35*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 1, d: 3}. What is prob of sequence hidd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)\/(f*(f**(2\/19)*f)\/f)*(f\/(f\/((f**(1\/7)\/f)\/f)))\/(f\/(f*f**(4\/5))) assuming f is positive.\nAnswer: f**(-4763\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6 + 9*q - 8*q - 27*q. Let r be n(-3). Calculate the lowest common multiple of 22 and (-4)\/20 - r\/(-20).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1833702*a**3 + 1194830*a**2.\nAnswer: 11002212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217753 (base 8) in base 13?\nAnswer: 2771a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*8627.\nAnswer: 862.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 26*g - 2. Let q(m) = 59*m. Give l(q(x)).\nAnswer: 1534*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.257? (a) -5 (b) 0.1 (c) 0.5 (d) -1\/37 (e) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1562)\/(-77) + (-4)\/14. Let l be (s\/6)\/((-6)\/(-9)). Solve l*m = -25, 3*a - m + 1 = -3*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 3*j + 5. Is t(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 99. Solve -8*y - 18 = l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131000 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -124?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let q(i) be the second derivative of -6*i + 0*i**2 + 0 + 0*i**3 + 7\/12*i**4. What is y(q(m))?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -153*p + 158*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -49, -1, 2 in descending order.\nAnswer: 4, 2, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/11 (b) 1\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23557296 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -116.72 in 3, 3\/2, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 + 33*l**2 - 10*l**2 - 5*l**2. Let n(f) be the second derivative of f**3\/3 - f. What is n(o(i))?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1421 + 1146. Which is smaller: h or 0.03?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u - 13 = b, -b + 2 = 0. Let f be -2 + 2 - (u - 12). Suppose 0 = 5*i + f, 4*m + 0*i - 6 = -2*i. Solve m*s + 4 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3459664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -4, 2, 3, -109\/3, 1, -26.\nAnswer: -109\/3, -26, -4, -1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209760 and 1080.\nAnswer: 1887840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003259 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40272 and 961494.\nAnswer: 7691952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s**5 + 436*s**4 + 968*s**3 + 320*s**2 = 0. What is s?\nAnswer: -8, -5\/2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**4 + 2*s**2 - 3*s**4 + s**2)*(-21 + 53 - 12)*(0*s + s - 4*s).\nAnswer: -60*s**5 - 180*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 20 = 0. Suppose -2 - 8 = -a*s. Solve 0*c + 3*c - 2*k = -2, 14 = 3*c + s*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812419537?\nAnswer: 19, 1409, 30347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127796 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 13*w**2 + 802*w - 10438. Give m(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4703 (base 11) to base 14.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {i: 3, a: 6, q: 3, b: 1, n: 4, w: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90*(966\/1127 + (-74)\/70)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.12 + 99.12. Let n = -93.9 + d. Let u = n + -4.6. Which is the biggest value? (a) 0.2 (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*a - 16*a - 14 - 346 = 0. Put a, 230, 4, 0 in increasing order.\nAnswer: a, 0, 4, 230","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = 3*o + 2, x + 15 = 3*o. Let q(y) = -y**2 + 4*y + 5. Let g be q(o). Solve g = -5*t - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28422*v - 72633 wrt v.\nAnswer: -28422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 54, 76, 96?\n\"Answer: -c**2 + 27*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/245 and -9\/45535280.\nAnswer: 318746960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 10*s - 8. Let g be h(-8). Let i(d) = 2*d - g*d + 4*d + 3*d. Let p(u) be the second derivative of 35*u**4\/12 - 5*u. What is p(i(b))?\nAnswer: 35*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18458623?\nAnswer: 271, 68113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51125233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -5, -27 in ascending order.\nAnswer: -27, -5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 15 + 268 = -29. Calculate the highest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-2*r - 1 + 1) - r + 6 + 0 - 2.\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5225079*u - 5225037*u + 1386 = 0 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87899 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*(-6)\/(-8))\/(27\/72). Let n(h) = -h**2 + 13*h - 15. Let f be n(10). Solve -t*x + 3*d + 15 = 0, 3*x + 4*d = d - f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.232 in -3, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + 5. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 5*v - 3*v + (9 - 2 - 2)*(4*v - 3*v + v) + 2*v - 4*v + 0*v - 2*v - 4*v + 2*v + 4*v - 2*v - v + (5 + 1 - 4)*(0*v - 3*v + 4*v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Let z = 5.4 - q. Let t = -7 + 6. What is the closest to -0.1 in 0.5, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d064 (base 15) in base 4?\nAnswer: -10122221113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56260239.\nAnswer: 3, 7, 37, 61, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12337266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1233? (a) 2 (b) 0.4 (c) -81 (d) -2\/15 (e) 4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b22 - -1?\nAnswer: -5b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.6. Let a = -0.3 - m. What is the closest to 2 in -0.3, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210528\/4799 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6 - (-6)\/4. Let m be (-4)\/((-2)\/(8\/q)). What are the prime factors of (-4)\/m*18\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = -367. Let b = -61 - f. What is the remainder when 77 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1144 - -420024?\nAnswer: 413330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -22*t**3 + 3*t**2 - 5*t - 28. Let y be s(-3). Calculate the greatest common factor of y and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154 + -113 + 51 - 32?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -132, -4, 17, -31 in ascending order.\nAnswer: -132, -31, -5, -4, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3992 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2. Let w(f) = -17*f - 484*f**2 + 475*f**2 - 17*f. Let n(s) = s**2 + 4*s. Let q(l) = 51*n(l) + 6*w(l). Give q(u(h)).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100 + -1011011001001?\nAnswer: -1011001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 3, f: 2, i: 4, a: 6}. Give prob of picking 1 f and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 51, -0.4, -197, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**8\/600 - h**7\/1050 + 7*h**6\/900 + h**5\/150 - 4*h**3\/3 - 13*h. Let q(b) be the second derivative of a(b). Solve q(w) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1433 - -11473\/12897. Let s(w) be the first derivative of 1 - 2\/3*w - o*w**3 + 4\/3*w**2. Solve s(a) = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - 1) + (13 - -36) + -49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/2, 1, -0.4, -0.6 in decreasing order.\nAnswer: 1, 1\/2, -0.4, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 2*p**2 - p + 1. Let n(b) = -b**2 - 9*b - 6. Let x be n(-8). List the prime factors of f(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65778001 to the nearest integer?\nAnswer: 8110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 3, 0.13 in ascending order.\nAnswer: 0.13, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 70 + 43 = 0. Suppose o*b = -8*b + 68. Solve -7*y + 15 = -b*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a52ea + -1f?\nAnswer: 3a52cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*p = -1233*p - 55374 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 255606 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(780\/200))\/((-4)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - c**2 - 2*c + 7. Let n be b(0). Suppose -5*z - 14 = -3*v, -3*z - 24 = -n*v + 4*v. Is 12 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 11*(1 - 0). Suppose 67 = 5*d - 4*k, 3*k - 44 = -3*d + 7. Suppose -14*y + d = -i*y. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3 + 3304878*w**2 + 13219536*w + 13219544 = 0.\nAnswer: -2, 1652443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 15. What is the remainder when 16\/(-4) - (-172)\/2 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u**2 + 9*u + 7. Let v(c) = -9*c**2 - 5*c - 4. Let i(t) = 4*o(t) + 7*v(t). What is the remainder when 17 is divided by i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in -0.2, -1.9937, 1\/4, -3\/4, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -106, -244, -446, -718, -1066, -1496, -2014?\n\"Answer: -l**3 - 23*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:50 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*60\/(-75). Let d be 22\/l + (-1 - 0). Is 20 a factor of 19\/1 - (8 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) 0.2 (c) -2\/9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11861939 or 11861937?\nAnswer: 11861937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 33b1188?\nAnswer: 33b1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4934\/3 + -1645. Which is the closest to 0? (a) 21.1 (b) 5 (c) -0.2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75bc + a1?\nAnswer: -751b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000342166 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w + 5*b - 350 = 0, 0 = 5*w - 4*b - 332. Suppose -5*j = -8*j + 2157. Suppose -2*d + 513 = -h, -3*d + j = 2*h - w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**2*x**3 - 2*g**2*x**2 + 2*g**2 - 293*x**2 + 1129*x wrt x.\nAnswer: 18*g**2*x - 4*g**2 - 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 34*m**2 - 8*m - 1. Suppose 4*q = 3*s - 22, 8 = -q - q. Let z be d(s). Round z to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -339, -3, 1.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 4 + 29)*(-862*w - 593*w - 669*w) as l + x*w and give x.\nAnswer: -38232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -156*q**3 - 10142*q**2 - 149*q - 1236. Calculate g(-65).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-35) + ((-100)\/92 - 4\/(-46))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20928 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/5, -4, 3.1, -79 in decreasing order.\nAnswer: 5, 3.1, -1\/5, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + j - 7 = 0, n = -4*n + 3*j - 14. Suppose 0 = -p + 1 + 1. Let o = p - 4. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329313423 - 0.1?\nAnswer: -329313423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -396, -471, -414, -159, 360, 1209, 2454?\n\"Answer: 11*v**3 - 152*v - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 5)*(-40 + 184 + 45)*(-2*u + 0*u + 0*u)*(-18 - 30 - 26) to the form q + t*u and give t.\nAnswer: 55944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*k - 26 = 0, 5*v + 4*k + 14 = 6*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33313, -133544, -300595, -534466, -835157, -1202668, -1636999?\nAnswer: -2138150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 + 0 + 31. Let y be (g\/(-24))\/((-1)\/(-3)). Let x be 1 - -2 - (5 + y). Which is bigger: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004030464.\nAnswer: 2, 31, 63131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/3696 and 71\/6?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:33 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -34, -103, -230, -433, -730, -1139, -1678?\nAnswer: -2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5 = 4*c + 12, 4*a = -c - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 78 = -3*x, -3*v - 104 = -4*x - 2*v. What is the remainder when 77 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1476 and -55\/20828.\nAnswer: 187452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 5, -5, 41, 2, -676 in increasing order.\nAnswer: -676, -5, 2, 5, 41, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.517 times 2\nAnswer: -3.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-14*i - 3*i + 4*i) + (-1 + 2 + 1)*(i + 3*i - 5*i) - 45*i + 190*i + 376*i + 175*i in the form o*i + n and give o.\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uppppppuppuppppupupp. What is prob of sequence uup?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49.4 + -52.49. Let z = w - -3.09397. What is z rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 15. Let q be u(0). Let z be 16\/6*q\/(-2). Solve -3*o - o = -z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -4) + -50 + 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20828 + -2699. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/26 - 14*p**3\/39 - 18*p**2\/13 - 92. What is i in j(i) = 0?\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 not equal to 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-4 - -5)\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 6*k**2 + 3*k + 1. Suppose w - 32 = -2*p - 11, 2*w + 38 = 4*p. What is the remainder when g(6) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 2*s - 8, 0 = -2*v - v - 4*s - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -123, -81\/2 in increasing order.\nAnswer: -123, -81\/2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-8)*c*c*c)\/c**(1\/5))\/((c*c*((c**(-3)\/c)\/c)\/c)\/c*c*c**(-3\/10)))**(-7) assuming c is positive.\nAnswer: c**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7303995?\nAnswer: 3, 5, 23, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:56 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-4))\/1*(-1080)\/(-900)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105 (base 6) in base 5?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49126*i*n**2 - 4*i - 38505*n wrt n?\nAnswer: -98252*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4660.84581 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p - 6. Let u be a(-3). Let o = 13 - u. What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-1947)\/(-66))\/59*(-1)\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38913356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/4961 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18540714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -6*u - 30. Let v be (4\/(-5))\/(2\/u). What is the units digit of 0 - v - 18\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 353*y - 738 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2 = 5*w - 26, -5*w - p + 18 = 0. Let z(t) = t**2 + 4*t - 6. Is 13 a factor of z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + r**2 + 0*r**2)*(2*r - r + r) + r**3 + r**3 - 7*r**3 + (4*r - 4*r - r**2)*(-1 + 1 + r).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**2 + 13*t**2 - 4*t**2. Let h(l) = -l**2 - 3*l. Let r(v) = 2*v**2 + 5*v. Let b(c) = 10*h(c) + 6*r(c). What is p(b(n))?\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06366666 and 3.\nAnswer: 0.19099998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 168 = 88 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnqn. Give prob of picking 2 q and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - k = -5*d + 21, k = 2*d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:22 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -968 + 1005. Calculate the lowest common multiple of x and 18.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*l - 5. Let z = -11.06 - -8.06. Sort 0.3, l, z.\nAnswer: z, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/35 and (33\/(-12))\/(-11) - (-1023)\/(-180).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 21*b**3 - 10*b**2 - 368. Let p(x) = 7*x**3 - 3*x**2 - 123. Let o(i) = -2*g(i) + 7*p(i). Differentiate o(u) with respect to u.\nAnswer: 21*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106722 divided by 5929?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 896755329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*i - i = 1281, -p + 4*i + 325 = 0. List the prime factors of p.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (722 - 233 + 431 + 1130 + 1059)*(-2*l**3 + 2*l**3 + l**5).\nAnswer: 3109*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 + 234. Suppose 8*q = 135 - t. What is the greatest common factor of q and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/12*450\/1100.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, -23, -76, -139, -206?\n\"Answer: o**3 - 14*o**2 - 2*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 + -16 - -77) + 1*16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from exexeoxexe?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 825 = 12*d. Solve 9 = -6*n + d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 513.\nAnswer: -25.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - 103745771?\nAnswer: -103746015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2474 + 2398 = 173*r + 720. What is the greatest common divisor of r and 3468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, 2\/3, 1, -1\/27, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 15, -5*o - 110 + 125 = -4*a. Put -1, 26, a in descending order.\nAnswer: 26, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111097099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004501 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {x: 2, y: 2, i: 3, s: 1, a: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*m = -4*h + 10, 0 = 5*h - 3*m - 26. Let i(l) = h*l - l - 2*l - 2*l. Let k(r) = 2*r + r + r + 0*r. Determine k(i(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - 12) + (-370 - -375)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/2))**48)**12 assuming m is positive.\nAnswer: m**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 1509 + 1539 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -63*v**3 + 67*v**2\/2 + 52*v. Is q(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 114, 241, 408, 609, 838?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 24957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539520 is divided by 10361?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -331222.5 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 686139661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k**5 - 146844*k**4 - 817602*k**3 - 859248*k**2 + 1069119*k + 754596 = 0. What is k?\nAnswer: -6987, -3, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 8, y: 2, r: 2}. What is prob of picking 1 b and 2 r?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*-601\nAnswer: -601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -18*q**2 - 64*q + 18. Let i be a(-3). Solve -6 = 51*m - i*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55459 + 3327709\/60. Calculate the common denominator of 71\/760 and a.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 2.1. Let v = 1.87 + -1.87. Let r = v - 0.4. Which is the closest to -2? (a) 1 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1281 and 3948.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5721 - 205937\/36. Let s = y - -2\/9. Let d = 802 + -801.93. What is the biggest value in 3, -0.1, s, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - 2*s + 1. Let p be r(1). Suppose 3*j + p*a = 6, -4*j - j + a = 13. Is j >= -19\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 1 + 2*c**2 - 3 + 1)*(-2 + 0 + 1).\nAnswer: c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**2 - 6*k**2 - 2*k**2 - 21*k as c + w*k + l*k**2 and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(48) + (-1 + sqrt(192))**2 - (sqrt(12)\/sqrt(4)*-3 - (sqrt(300)*1)**2).\nAnswer: -9*sqrt(3) + 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -391532310*i*j - 301974*i - 208 wrt j.\nAnswer: -391532310*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1321 and 147.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 150, 209, 264, 315, 362, 405?\n\"Answer: -2*l**2 + 65*l + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*x - 448, -4*x = -2*t - 1133 + 207. What is the highest common divisor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -593\/8. Let d = 419 + -416. Which is the nearest to -2? (a) d (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 at most as big as -163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-16))\/(((-21)\/(-6))\/(-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74144 + -74121.9564. Let c = d + -22. What is c rounded to 3 decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 1220?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1985 - 118. Let q be 1*(-66981)\/36 + -4. Let m = q + c. Calculate the common denominator of -65\/24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/794 and 32.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.3, 2806, 0.342, -0.4 in increasing order.\nAnswer: -0.4, 0.3, 0.342, 4, 2806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 37, 37298 in ascending order.\nAnswer: -4, 37, 37298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14524650557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = 3*q, 0 = 4*q + 20. Suppose -175 = -3*u - 4*w, 3*u + j*w = 147 + 26. Let a = u + -38. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1260179 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i**4 - 185*i**3 + 390*i**2 - 300*i + 40 = 0.\nAnswer: 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -130, -289, -504, -775, -1102, -1485, -1924?\n\"Answer: -28*y**2 - 75*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -208 (c) 3 (d) 115 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 214\/767185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4193 (base 12) to base 7.\nAnswer: 26616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, w: 15}. Give prob of picking 3 w.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(52) + 1) - (sqrt(52) + 5*sqrt(312)\/sqrt(6)).\nAnswer: -22*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23430 (base 8) in base 4?\nAnswer: 2130120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(700))*5 - sqrt(700)) + sqrt(700).\nAnswer: 5 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/720 - o**5\/240 + o**3\/2 - 3*o**2. Let d(j) be the first derivative of g(j). Let d(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 - 132. Suppose 8*j - g = 97. Calculate the greatest common factor of j and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 13 = -26. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnl when four letters picked without replacement from {l: 1, n: 3, a: 4}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2856 (base 9) in base 5?\nAnswer: -32112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 65. Let t = 6 - f. What is the highest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/171550 and -3\/950?\nAnswer: 3259450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 900766*b - 1801531\/2.\nAnswer: -(b - 1801531)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 91*m + 231 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 0*j**5 - j + 15\/4*j**2 - 20\/3*j**3 - 4\/3*j**6 + 12 + 5*j**4. Factor d(x).\nAnswer: -(x + 2)*(2*x - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -298.4 - -353. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2) + 7*(-3828576 + 5). What is d rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 - 66*i**2 + 105*i - 149. Let p(j) = j**3 + 22*j**2 - 35*j + 50. Let r(q) = 8*p(q) + 3*y(q). Is r(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1, 16\/23 in descending order.\nAnswer: 5, 1, 16\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30537766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -20, -22, -28, -38, -52, -70?\n\"Answer: -2*n**2 + 8*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10*15\/450)\/((-4)\/(-180))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - a**2 + 5*a + 9*a**3 - 3*a to the form h + v*a + o*a**3 + k*a**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -476 - -2378\/5. Let i = 1.08 - 1. Let t = 2.08 - i. Which is the second biggest value? (a) n (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672)*3)\/sqrt(6) - (-3*(sqrt(252)*-1 + sqrt(252)) + sqrt(252)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25646 - 25646.000167584. What is y rounded to 6 dps?\nAnswer: -0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85784 = 17*z + 85614 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 167 (base 9) to base 16\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000393609102 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - g = 12*m + 9, -m - 3*g - 11 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t + 9*t + 6*t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = -54 - 22. Put -5, h, 5 in descending order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 4. Let f be s(-7). Let q be -10*(0 - f\/6). Solve -5*v - 20 = -q*p, 5*v - 2*p + 7 = -16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.3 (b) 1\/9 (c) 14 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**5*m**2 + 6*i**5*n**2 + 3*i**2*m*n - 41*m**2*n**2 + m*n**2 wrt i?\nAnswer: 660*i**2*m**2 + 360*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7816 + 7829. Solve -30 = 18*p - j*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44495661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 20*j + 63. Let o be k(-3). Does 8 divide 4 - ((-170)\/o)\/(14\/(-294))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from fffifffififffff?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 299?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v = 0. Suppose s + 43 = t + 4, -4*s + 2*t - 160 = 0. Let u = s + 44. Solve u*o = h - 7, 3*h + v*o + 11 = o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - (-44)\/(-7). Let w(v) = -56*v - 14. Let b(x) = 11*x + 3. Let u(k) = -21*b(k) - 4*w(k). Let y(n) = -n - 1. Give z*y(i) + u(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**5 - 186844*u**4 - 1868592*u**3 - 4484800*u**2 + 5979392*u + 23918592 = 0.\nAnswer: -4, 2, 93432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12*v = -32. Suppose 4 = -m, 3*t - 2*m - 3*m - 35 = 0. Factor 5*a**5 + a**v - a**t - 13*a**5 + 8*a**5.\nAnswer: -a**4*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 38 = -3*q + q - 28*f, 3*q - 3 = 2*f - 17 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 - 5 = 0, -4*g - 22 = -3*d. Let a(p) = -p**3 + 7*p**2 + 5*p + 3. List the prime factors of a(d).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6890 and 2?\nAnswer: -13780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/10 + 273189*k**2\/5 - 1092748*k\/5.\nAnswer: -k*(k - 546374)*(k - 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*w - 2*w = -1984, w = v - 493. Suppose 0 = 5*l + 4*c - 1977 + v, 277 = l - 3*c. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.68371225 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.39082m in nanometers?\nAnswer: 26390820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 2. Let m = 5 - 5.7. Let l = m - -0.2. Which is the second smallest value? (a) 0.4 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112101202 (base 3) to base 10.\nAnswer: -10496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 q when three letters picked without replacement from {k: 2, p: 3, b: 2, q: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.4 + -19.4. Which is the closest to -0.1? (a) m (b) -2.3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -394264\nAnswer: -1\/98566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 45543?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39624.\nAnswer: 2, 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32772682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 40278*b + 483628. What is x(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slssjjsc. Give prob of picking 1 s and 1 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9362 + -5422. What are the prime factors of q?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 + 4*n - 21. What are the prime factors of h(-6)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-4)*a)\/a)\/a**(2\/23)*((a\/(a\/(a*a**9*a*a)*a)*a)\/a)\/a*a**(-1\/3))**(-5))**27 assuming a is positive.\nAnswer: a**(-20430\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.66 + -1.66. Put r, 2\/11, 2\/5, -2\/3 in decreasing order.\nAnswer: r, 2\/5, 2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:18 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(70\/(-55)))\/(7\/14)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63017\/14 + 4499. Suppose 0 = 14*s - 12*s + 144. Calculate the common denominator of (604\/(-14))\/(s\/42) and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1)\/(-2)*0. Let d(z) = -z + w*z**2 + z - 2*z**2. Let q(b) = 2*b**2. Give q(d(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.82389381 * 2.\nAnswer: 9.64778762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2)*(-1240)\/12. Suppose -2*x = -0*m - 2*m + 124, 5*m + 2*x - t = 0. Find the second derivative of -m*f**2 + 7*f**4 - 7*f + 62*f**2 wrt f.\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1715 and 27\/7.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (7 - 2) - (727 - 752)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-3)*(-1458)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/9 + 48320*c\/9 + 48319\/9 = 0.\nAnswer: -48319, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**34\/(c**(29\/2)*c*c)*(c\/c**14)\/c**17 assuming c is positive.\nAnswer: c**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l. Let g(b) = 276 - 5*b - 276. Determine g(r(i)).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1518790, 1518788, 1518786?\nAnswer: 1518784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/155 and 41\/45.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 16 - 4 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 4 - 1 + 431*u - 7 + 0 to the form p + y*u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -143\/72 + -5\/36. Calculate the common denominator of -1 - 2*178\/(-88) and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 + s**3\/3 + s**2\/2 + s. What is x in q(x) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11364*y + 1035. What is c(0)?\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9244 and 11555?\nAnswer: 46220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027 is divided by 503?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547519 is divided by 623.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8029538 and -0.0134801.\nAnswer: -8029538.0134801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 42, 7.\nAnswer: -11, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -151, -127, -103?\n\"Answer: 24*k - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372877 is divided by 472.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 8*j**2 - 7*j - 2. Let m be z(-4). Let i = 51 + -48. Suppose i*v + v - 120 = 0. Calculate the greatest common divisor of m and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135742852.\nAnswer: 2, 7, 29, 349, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16925, -16920, -16917, -16916, -16917, -16920, -16925?\n\"Answer: -l**2 + 8*l - 16932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8*u - 30 = 0. Suppose u*p - 7 - 53 = 0. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*s = -36*s. Solve 4*n - l = 13, s = 3*n - n + l + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545*y**5\/3 + 1450*y**4 + 4825*y**3\/3 - 3300*y**2 + 60*y = 0. Calculate y.\nAnswer: -6, -3, 0, 2\/109, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 171*p**2 + 1244*p + 8. What is s(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2933*y - 51 = 2954*y, 2*z - 18 = 4*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 16. Let m = 6 - y. Let s = 17 + -14. Which is the second biggest value? (a) m (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 2, b: 5, x: 6, w: 3}. Give prob of picking 2 i and 1 b.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, d: 8, a: 4}. Give prob of sequence aaav.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5*s + 68*r**3*s*t + r**3*t - r*s + 2*r*t + 25*s wrt r?\nAnswer: 20*r**3*s + 408*r*s*t + 6*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v**2 + 10 + 46*v**2 + 33*v**2 - 123*v**2.\nAnswer: 7*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 16*c**2 + 26*c + 45. Let o(n) = n**3 - 23*n**2 - n + 37. Let l be o(23). Calculate the remainder when p(l) is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67107988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 32\/(-12))*3\/4. Suppose 5*i = 2*f + 58, k*f = i - 0 - 18. Let m = i + 9. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 38, 11, -24, -67, -118, -177?\n\"Answer: -4*l**2 - 7*l + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = 4*o, 0 = 5*o + 3*p - 2*p - 15. Let j be o\/(-12) + (-2)\/132. Let f = -377.08 + 377. What is the second biggest value in -1\/3, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from dnndbubuu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(1053)*-2*-2 - (-1 + sqrt(1053) + sqrt(1053))*-4*4))**2.\nAnswer: -184320*sqrt(13) + 26960896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 1. Let l be h(4). Find the first derivative of -7*q + 1 - l - 3 wrt q.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 divided by -26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 132002320?\nAnswer: 132002230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -9, 2, -30407 in ascending order.\nAnswer: -30407, -9, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**3\/3 - 17*u**2\/2 - 52*u - 278. What is the units digit of o(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cb2ca (base 13) in base 4?\nAnswer: 2310112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5510.\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 47 - 5. Let t = -10 + i. Suppose -t*f - 57 = -7*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 61*h + 3 = -62*h, 3*h = -4*v - 44 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f + f**3 + 6*f**2 + 7*f**2 + 8*f + 0 - 16. Let b be c(-11). Solve 0 = -5*w - 3*i - 22, 4*w - b*i = -2*i - 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8423, -5, 2, 3.\nAnswer: -5, 2, 3, 8423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1369, 1344, 1311, 1270?\n\"Answer: -4*l**2 - 13*l + 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43067.\nAnswer: 43067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -41, 21, 3, -1, -16 in ascending order.\nAnswer: -41, -16, -1, 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.39025 millilitres?\nAnswer: 0.04639025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - d**3 - 3 - d**2 + 9 + 2*d**2. Let a = -38 - 21. Let v = a + 59. What is i(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**3 + 15*r**2 + 35*r + 4. Give w(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*m - 4*k, 12 = -5*m - 0*k + 4*k. Let z(t) be the second derivative of 4\/3*t**3 + 2*t**2 - 3*t + m. What is the first derivative of z(a) wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*j**3 + 26*j**3 + 6*j**3 + 14*j**3 - 18*j to the form q*j**3 + o*j + t*j**2 + y and give q.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4078 - 5?\nAnswer: -4080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*(162 + 0). Let l = 241\/3 - w. Let v be 8 + (-10)\/(-140) + 3334\/(-420). Which is the smallest value? (a) 3 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - h - 7*h**2 + 6*h**2 + 47*h**3 - 48*h**3 to the form p + a*h**2 + l*h + w*h**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830.5032l to millilitres.\nAnswer: 830503.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**(-2\/77)*j**(6\/5)*j*j\/j**(-7\/3) assuming j is positive.\nAnswer: j**(6541\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 65. Let j be v(8). Let u(q) = q**3 - q**2. Let o(i) = -8*i**3 - i**2. Give j*u(l) + o(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1205 + -1205. Suppose 0 = 3*o - 4*o + 7. Let z be 5\/o*21\/18. Is y <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856991.1 meters in nanometers?\nAnswer: 856991100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*d - h, 3*h - 16 = -4*d - 0*h. Let v be (-1)\/(-1)*(-31)\/d. What is v rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - g**4 + 0*g**4 + 2*g**4 + 2*g**4 - 7*g**4 + (2*g**2 - 4*g**2 + 4*g**2)*(0 + 2*g**2 + 0).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.008 - 31.008. Let j = 31.175 + i. Round j to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocncocc. Give prob of sequence co.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millisecond in microseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = j + 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*b + 4*h - h, -31 = b + 3*h. What is the tens digit of (-1 - (b - -2)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 2054086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/35 - 2\/35. Let s = -102 + 105. What is the closest to 0.1 in k, 2, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2586*c + 83. Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v - 42. Let j be 7 - (-375)\/(-55) - (-112)\/(-11). Let p be 43\/(-5) - (-4)\/j. List the prime factors of w(p).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14782520 divided by -680.\nAnswer: -21739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*z + 8*z**3 - 1 - 3 + 1 - 14*z - 118*z**2.\nAnswer: 8*z**3 - 118*z**2 - 132*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79078724129 + 750.\nAnswer: 79078724879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (1 - 1) - -2. Suppose 108 = 2*c + 2*t, t = -0*c - m*c + 160. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 8. What is w(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -49. Let t = 0 - f. Suppose 3*v - t - 8 = -2*u, 5 = v + 4*u. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.3 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 109031094 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -80.9999869. Round a to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**2 - d + 5. Let x(f) = f**2 + 1. Let o = -2166 - -2165. What is o*j(g) + 4*x(g)?\nAnswer: -6*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*l - 89, -2*s + 2*l - 6*l = -26. Solve -4*p + 7 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111011000 + 10000010?\nAnswer: 100001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 263.2, 6, -0.2.\nAnswer: -0.2, 6, 263.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - -1*4*sqrt(84)) + 3*(4*sqrt(84) - sqrt(84) - sqrt(84)))\/(sqrt(12)*4*3 + sqrt(24)\/sqrt(98)))**2.\nAnswer: 41503\/7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*d - 10*d + 44, x - 3 = 0. Let s(c) = -5*c - d - 1 - 9. What are the prime factors of s(-12)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 306*f + 7803.\nAnswer: 3*(f + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1423, 2833, 4229, 5605, 6955, 8273, 9553, 10789?\nAnswer: 11975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.108166, -2\/7, 0.3, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let b be 2*(3 + 5\/j). Let v be -1 - (-2)\/(b + 1). Solve v = 2*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-153))\/((-1)\/(6\/(-16))).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7726 (base 16) to base 6\nAnswer: -353114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40129722 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z*z*z**(-4\/7))\/(z\/z**6*z\/(z**(1\/4)*z)) assuming z is positive.\nAnswer: z**(159\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**2 - 187*j**3 - 24*j**2.\nAnswer: -187*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1477 = -5*b, 3*b = -l + 389 - 1278. Which is greater: b or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 260*o**3 + 199*o - 394. Give g(2).\nAnswer: 2084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -103802938 divided by -51901469\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*41775\nAnswer: -167100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 4. Let r be 0 + ((-4)\/1)\/1. Let w be k(r). Let v = -2 + 6. Does w = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = -0*k. Let v(a) = 15*a**2 + a + 2. Let d be v(k). Let b(u) = -u - d + 246. Let q(s) = 2*s**2. Determine q(b(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(168)\/(sqrt(12)*-1*-6))\/(sqrt(847)*1 + sqrt(847) + sqrt(63)*2))**2.\nAnswer: 1\/1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 175a?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 79166828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -38248\nAnswer: 7267.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -23*o + 2. Let q be j(-6). Suppose -3*d - q = -8*d. Suppose d = g + s, -3*s - 10 + 62 = 2*g. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w + 1. Let s be g(1). Let v(z) = z**2 + 3*z - 3. What is the lowest common multiple of 8 and v(s)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24142, -96583, -217328, -386377, -603730, -869387?\nAnswer: -1183348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -11*y**2 + 5*y - 2*y**2 + 3*y**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 26. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by -2093652.\nAnswer: 20\/523413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 - m - 2. Let y(a) = a**2 + a - 1. Let i = 96 - 95. Determine i*y(r) - q(r).\nAnswer: -4*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 217*n**3 + 2055*n**3 + 147*n + 2 - 58*n - 86*n as s*n + g*n**3 + t + u*n**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 156, 288, 454, 654?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.38? (a) 0 (b) 6 (c) -367 (d) 5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 17. Let r = g - 4. Which is the second smallest value? (a) r (b) -0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 30*t**2 + 438*t + 32. Determine b(-16).\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 4 + -17 + (-1 - -6). Suppose 0 = -5*r, k - 3*r = 5*k - 128. Let a = k + g. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**6\/360 + h**5\/24 + 5*h**4\/24 + 22*h**3\/3 - 37. Let x(u) be the third derivative of y(u). Calculate x(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.659493 rounded to zero decimal places?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 - -125. Let i be (2 + v)*(0 - -1). Let l(c) = -5*c**3 + 8*c**2 + 4*c + 7. What is the remainder when l(i) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.47 - -2.77. Let p = -0.15 - 1.85. Let j = w + p. What is the closest to 0 in -0.1, -1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 587, 586, 585?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 12?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1007330, -2014690, -3022078, -4029494, -5036938, -6044410, -7051910?\n\"Answer: -14*n**2 - 1007318*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 6. Let v(m) = m + 1. What is t(k) - 4*v(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 + -67 + -43 + 55?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -62. Suppose 2*a + 27 = 6*a - 3*r, -2*r = -3*a + g. Suppose 9 = 5*z + 5*o - a, -13 = -3*z + o. Put -5, -1\/7, -1.5, z in descending order.\nAnswer: z, -1\/7, -1.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -33. Which is the nearest to 0? (a) g (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -256*u - 113*u + 85*u to the form q + a*u and give a.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -5886 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 5*y + 13 + 4*y)*(108*y - 306*y + 98*y + (-2 + 4 + 0)*(0*y - 2*y + 0*y)) to g + o*y + i*y**2 and give o.\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16846*q = -15060*q + 5358 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008939 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcccbcbcb. Give prob of picking 3 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -115, -175, -235, -295, -355?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -0.5, -12, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -236 - -231. Which is the closest to -0.3? (a) 0.5 (b) u (c) 5 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 - 297*v**4 - 1671*v**3 + 297*v**2 + 1674*v = 0 for v.\nAnswer: -93, -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100210 (base 5) in base 15?\nAnswer: a305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 1. Let p = 43.4 - 43.5. What is the nearest to p in l, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225) + (sqrt(1225) + sqrt(1225) + 1*sqrt(1225) - sqrt(1225)) - sqrt(1225))\/(-3*sqrt(80) + sqrt(80)).\nAnswer: -7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -120. Solve x - 5 = -q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 28 + 5*r - 92 + 63 + (-r + 2*r - 3*r)*(-2*r - 4 + 4).\nAnswer: 3*r**2 + 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -n - 45, 2*b = 5*n - 11. Let h(w) = w + 2. Let l be h(0). Suppose b*m - 17 = -2*r + 41, -10 = l*m. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:47 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 3751.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*l - 0*l - 10, -4 = k. Let t(f) = -6 - 8 + l + 6 + f. Determine t(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f + 50*f = 1071. What is the highest common divisor of 255 and f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:03 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Is (-33)\/6*(-9 + d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {r: 3, u: 4, m: 8, s: 4}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 251*f + 1005\/4.\nAnswer: -(f - 1005)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 2. Let c be t(-2). Suppose -6 = a - c*a. Suppose 6*x - a*x - 16 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(sqrt(6) + sqrt(726)) - sqrt(561)\/sqrt(176))\/((sqrt(42)\/sqrt(50))\/(sqrt(84)\/sqrt(3) + sqrt(7))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/19180 and -89\/9864.\nAnswer: 345240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 55*v**2 + 158*v + 3896. What is the hundreds digit of g(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - (7 + -1) - -3) + -24 + -36 + 62.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(1 + 4*-2). Let w = -3 - -3.5. Let o = -0.5 + 5.5. Which is the closest to -0.1? (a) j (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/((-513000)\/(-60))*4?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01098 times -1?\nAnswer: -0.01098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65854.\nAnswer: 2, 19, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 1\/7, 1, -0.09.\nAnswer: -0.11, -0.09, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**5 - 4*y**3 - 2*y + 4. Let g(m) = -m**5 - 7*m**3 - 3*m + 7. Let j(a) = -7*b(a) + 4*g(a). Find the second derivative of j(o) wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in millimeters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + w**3 - w**3 + (-4*w + 4*w**3 + 4*w)*(-w + 0*w + 15*w).\nAnswer: 58*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28719 < 28718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 476997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10030 and 90270?\nAnswer: 90270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 + 5*h + 18. Let t be q(7). Let d(i) = -11*i + 10. Let x(l) = -6*l + 5. Let z(v) = -3*d(v) + 5*x(v). What is z(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.163+-29.97\nAnswer: -29.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595679 is divided by 553?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2304, 4557, 6810, 9063, 11316, 13569?\nAnswer: 15822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3727 or 3728?\nAnswer: 3728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -39*r**3 + 6*r**2 - r + 6. Let h(j) = -39*j**3 + 7*j**2 - j + 7. Calculate -7*d(p) + 6*h(p).\nAnswer: 39*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/3 - 5*i**3 - 7993*i**2\/3 + 61845*i + 2677752 = 0?\nAnswer: -88, -23, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154385 and 5628035.\nAnswer: 61908385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 - -92. Solve -2*g = -g - u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 - 22?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/15764724 and -13\/54.\nAnswer: 47294172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**6\/r)*r)\/(r*(r*(r\/r**(2\/7))\/r*r)\/r*r*r)*(r*r**4)\/(r\/(r**4\/r)*r*r))\/(r**(-9)*(r*r**(-3\/10)\/r)\/r)**21 assuming r is positive.\nAnswer: r**(15091\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8603 or 8605?\nAnswer: 8605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/15 - (18\/(-10) - -2). Let j(t) = t**3 + t**3 - t**3 + 11*t**2 - 2 - 16*t**v - 3*t. Calculate j(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 8*d**2 + 11*d - 10. Suppose -2*b = -16 - 2. Calculate the least common multiple of l(b) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/67, 2\/5, -0.1, 1\/6, 4?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y + 5. Let k(c) be the first derivative of -3*c**2 + 6*c - 200. Calculate 5*g(h) - 4*k(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 25 = 0. Suppose -4*h = -r*h + 3. Let d(v) = -v**3 - 5*v**2 + 6*v + 2. Let c be d(-6). Put 1, c, h in increasing order.\nAnswer: 1, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 5)\/((-39)\/(-234))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1010100000011010 (base 2) to base 11\nAnswer: 2a372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 + 3768*n + 169155.\nAnswer: (n + 45)*(n + 18795)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465385114.\nAnswer: 2, 732692557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 18391370.68 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -37, -68, -111, -166?\n\"Answer: -6*v**2 - v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872612 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1524 - 409. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-3\/8)*t))**(-23\/5))**(1\/5))**(4\/9) assuming t is positive.\nAnswer: t**(-23\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:07 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 33*s - 1 + 20*s.\nAnswer: -7*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11847 + -12160. Let j = f - -13007. What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3 - 2*r**3 + 21*r**5 + 4*r**2 + 25*r**2 wrt r.\nAnswer: 1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 0*a + a - a**2 - 7*a as h + u*a + w*a**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*z + 4, 3*l - 5*z + 7 = 38. Solve -h + t = 0, 2*t + t + l = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 957320?\nAnswer: 957320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -409*o**3 + 4*o**2 - 4*o - 9. What are the prime factors of n(-3)?\nAnswer: 2, 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149587 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 383859298*t - 36836990165263201.\nAnswer: -(t + 191929649)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a + 3. Let k(c) = -136*c - 28. Let q(d) = -6*k(d) - 56*l(d). Let p(u) = -u. Let w(t) = -44*p(t) + 2*q(t). Let h(m) = m**2. Calculate h(w(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1707\nAnswer: -1\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -984136\/1501 + 28554\/79. Let n = -294 - v. Solve 6\/19*m + 2\/19*m**2 + n = 0 for m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 49*l**2 - 436*l + 26. Determine i(9).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/(-720))\/(1475\/90)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 13*j - 17. Let q be n(-11). Let y be (17 - q)\/4 + 15. Suppose -7*s - 2*s = -y. Solve -2*c = -s*d + 4, c + 2*c + 5 = 4*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 1. Is y(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/3*1)\/1. Let x = 2 - g. Let k be -1 - (1 + 398*x). What is k rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -104684, -208675, -312666, -416657, -520648, -624639?\n\"Answer: -103991*t - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -2 - (0 - -3). Let k = 23 + -19. Solve a*n - k = 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 1696*o\/5 + 253752\/5.\nAnswer: 2*(o + 194)*(o + 654)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3198\/43 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -60*g + 276. Factor 0*n**2 - 1\/3*n**g + 0 + 0*n**3 + 0*n.\nAnswer: -n**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -0.633.\nAnswer: 1.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -215, -513, -941, -1505?\n\"Answer: -g**3 - 56*g**2 + g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*f + 3*t, 3461*t = -5*f + 3463*t - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*i**2 - 31*i**2 - 26*i**2 + (2 - 2 - 6*i)*(3*i - 2*i + 0*i).\nAnswer: -76*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10049045 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*s - 4. Suppose -7 = -3*h - 1. List the prime factors of (-2)\/(-2) - (s + h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 48 (b) 4 (c) 3 (d) -2 (e) 460\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 10278*w**3 - 32*w**2 + 7267806*w?\nAnswer: 12*w**2 - 61668*w - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 p when four letters picked without replacement from {p: 6, m: 4}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10110011 (base 2) to base 7\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -2 - 10\/10. Let l be (q + 12\/15)*5. Suppose -5*t = -l*p + 25, 0 = 4*t + p - 1 - 0. Put t, 5, -4 in increasing order.\nAnswer: -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t + 7. Let x be f(-5). Let b = x - -13. Let n be (-1)\/2*(b + 9). Which is smaller: -2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*(-96)\/136224*(2 - 5)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 1\/6, -13, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 594384 and 80.\nAnswer: 2971920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -347, -424, -123, 586, 1733, 3348, 5461?\n\"Answer: 5*f**3 + 159*f**2 - 589*f + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8140237 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*h - 3. Let f = h + -16. Calculate the remainder when 47 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79854818 divided by -6.\nAnswer: 39927409\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f + 28*f = 65*f + 4160 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0636 times -7\nAnswer: -0.4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itdd when four letters picked without replacement from {x: 6, t: 1, n: 2, d: 4, i: 4}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -12. Suppose 2 = h*c - 2*c. Suppose -80 = -4*f + 4*z, -5*f + c*z = -45 - 40. Solve 0*x - 3*g - f = 3*x, 13 = -x - 5*g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - d - 18. Determine i(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100006594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528.1961 litres to millilitres.\nAnswer: 528196.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -106. List the prime factors of 404\/v - (-5)\/((-30)\/2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (8 + -16 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 99*d - 675. Let u be y(7). Is u at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 + 415\/(-100) - -6. Let n(v) be the first derivative of 2\/5*v**3 - s*v - 5 + 1\/25*v**5 + 1\/4*v**4 - 2\/5*v**2. Factor n(r).\nAnswer: (r - 1)*(r + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/3537617 + -90046503055\/222869871. Let v = 404 + q. Which is bigger: v or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-1\/3))**(3\/8))**(-10\/19))**(-2\/19))**7 assuming t is positive.\nAnswer: t**(-35\/722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -d, 5*s + 2*d = 37 - 88 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 50, -19, 5 in ascending order.\nAnswer: -19, 1, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 642 - 7*g + 7*g.\nAnswer: -2*g - 642","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/20)\/((-2)\/(-120)*-2). Let h(p) = -p**2 + 13*p - 9. Let m be h(g). Solve m*a + 11 = 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-32) - 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -4.9. Suppose 56 = 23*q - 13. What is the third biggest value in 0, t, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2532, -5058, -7572, -10074, -12564, -15042?\n\"Answer: 6*x**2 - 2544*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 23*b - 18*b. What is the highest common factor of b and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*(-6)\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, 0.2, 3, -1.1 in increasing order.\nAnswer: -7\/6, -1.1, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.662 + -0.208. Let w = q - -9. Let y = -0.108 + w. Which is bigger: y or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (62 + 178068\/(-1716)).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*t, -f - 2*t - 8 = 2. Solve -2*c - 8 = s, f = 5*s - 3*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1093 - 1090. Let i be 44\/(-10) + 1 + 4 + -1. Which is the third smallest value? (a) i (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56678*h*w**6 + 4*h*w**5 + 275407*h*w**2 + 2*h wrt w?\nAnswer: -6801360*h*w**3 + 240*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 142, 599, 1374, 2461, 3854, 5547, 7534, 9809?\n\"Answer: -b**3 + 165*b**2 - 31*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/17, -0.3, 1, 0.2, -2\/23 in descending order.\nAnswer: 1, 0.2, -2\/23, -0.3, -28\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1188 and 149\/898524?\nAnswer: 2695572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-10) + (-1096)\/(-240) and -1\/7.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(44)\/sqrt(4))*6.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:51 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9478?\nAnswer: 2, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:47 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d**3 + 3*d**2 + 3*d + 10. Let j be p(-2). Let r = -567 + 579. What is the greatest common factor of r and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*o + 433 + 798 - 7463 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(3 + (-116)\/36). Suppose 4*t + g - 4 = 0. Is t less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9513 is divided by 369?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11.3. Let s be 16\/(8\/(-20)*-5). Let l be 216\/126*(-2)\/s. Which is the second biggest value? (a) o (b) -0.01 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.1 (b) 6 (c) -12 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2228*o**3 + 5*o + 5746*o**3 + o**2 - 7760*o**3 - 7281*o**3 - 2758*o**3.\nAnswer: -14281*o**3 + o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**4 - 1068*x**3 + 98202*x**2 - 560700*x + 826875 = 0?\nAnswer: 3, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 79362?\nAnswer: 5158530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {q: 3, z: 1, v: 6, g: 5, t: 3, d: 1}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4987 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40840 is divided by 40826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372528 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 x when four letters picked without replacement from {c: 1, s: 1, x: 5, d: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 749*l**5\/5 - 4*l**3\/3 + 11*l**2\/2 + 14*l - 4254. What is the third derivative of u(g) wrt g?\nAnswer: 17976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l = 69*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 + 4.7000047. Round h to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 9*u - 12. Suppose 2*w + 8 = 5*n, 4*n - 71*w - 11 = -74*w. What is the remainder when n is divided by h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 334*k + 3113. Determine s(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177\/7 + -927\/35. Which is the biggest value? (a) -0.07 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.053 + 62. Round a to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -h, -2*x = 5*h - 18. Let s(m) = m**3 + m**2 + 2*m - 1. Let w(u) = -u**2 + u + 1. Give x*s(n) - w(n).\nAnswer: -n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (1 + 0 - 1). Suppose 26 = -s + f*s. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from sjqdusq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -76 + 0*y**4 + 0*y + 3\/40*y**5 - 1\/8*y**3 + 0*y**2. Factor q(r).\nAnswer: 3*r**2*(r - 1)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**4*s**2 - m**4 - 4*m**3*s**2 + m**2*s**2 + 41*m**2 wrt m.\nAnswer: 72*m*s**2 - 24*m - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - j)*((1 + 4 - 3)*(0*j - 3*j + 2*j) + (-5*j + 0*j + 3*j)*(-3 - 3 + 5) - 7*j + 4 - 4).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(10\/3))\/v)\/(v**(-2\/15)*v))**40 assuming v is positive.\nAnswer: v**(296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:45 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 13\/2, -2754, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 33 = f - r, -5*r = -f + 22. Suppose -59 = i + f. Let n = i + 163. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/24 + t**2. Let r be (-81)\/(-9)*2\/3. Let x(l) = -3567 + 3567 - r*l. Calculate x(q(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1313223440 - 0?\nAnswer: 1313223440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - 0 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/18)\/((-4)\/((-112)\/21))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Let k(o) = o**3 + 8*o**2 + 7*o + 1. Let s be k(-7). Let x be s + 1*(-15)\/21. Which is the nearest to x? (a) t (b) 4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856749383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 908*t**2 - 619*t**2 - 279*t**2 + 19 - 6*t**3 - t to the form j*t + g*t**2 + d + q*t**3 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, -17, -643, -11 in decreasing order.\nAnswer: 3, 1, -5, -11, -17, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(78) - sqrt(78))*5*-2)\/(sqrt(48)\/(-2*2*sqrt(8))))**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0223 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16852, 33695, 50538, 67381, 84224, 101067?\n\"Answer: 16843*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11280, -11277, -11280, -11295, -11328, -11385, -11472?\nAnswer: -11595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3927551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-143)\/(-22))\/(1\/(-2)) - -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = 165*r - 3142. Sort -4, -1, -3, r in decreasing order.\nAnswer: r, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2. Let j(p) = -2*p**2 + 18*p + 64. Let y(h) = 20*d(h) - 2*j(h). Solve y(t) = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-213)\/(-142)*(-1 + -1). What is the closest to -1 in -7, 230, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-183)\/(-1)*3\/9. Let w = t - 59. Solve -2*l + 6 = -w, 2*u + 20 = 5*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 - 2279*h + 1135*h + 5 + 1139*h - 13.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9592 + -9590. Let o(a) = -a**2 + 2*a - 1. Let j be o(2). Put h, -4, 0, j in decreasing order.\nAnswer: h, 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/(-6900)*(-1245)\/(-24) and 179\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3310 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/38 in -4, -2, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 97. Let b be -6 - 1 - (0 + z). Put -6, -4, b in decreasing order.\nAnswer: -4, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 3, x: 1, q: 4, o: 2, t: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 462709327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(2 + (-9)\/2). Suppose -4*g = -m*n + 82, 3*g = -3*n + 7*g + 54. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 27. Let g = 3 + 0. Suppose w = -g*c + 2*c + 21, 5*c - 2*w - 126 = 0. Solve 5*f + i = c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -14*f + 4*f. Let y = 471 + f. What are the prime factors of y?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - g**3 - g**3 + 18 - 18 - 9*g**3 - 4*g**3 + g**3 + 0*g**3 + (3 - 3 - g)*(-4*g - 2*g**2 + 4*g).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -5, -127, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 29*k - 402. Let g be j(14). Solve 3*v = -4*z + 2 + g, 10 = 2*z - 2*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1152 and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11555922 is divided by 166.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2753, 2908, 2955, 2894, 2725, 2448, 2063?\nAnswer: 1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 26. Let u be (0 - 4) + (-33)\/y. Let x be 2 - (0 - 0)\/(-2). Let z(t) = -3*t + 7. Let j(m) = -m + 2. Give u*j(d) + x*z(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -370.84 and -14.\nAnswer: -384.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - g**4 + 0*g**4 + (0*g**2 + 0*g**2 - 2*g**2)*(2 - 2*g**2 - 2) - 2*g**4 + 3*g**4 + 6*g**4 - 821 + 821 + 262*g**4.\nAnswer: 274*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155194 = 83*c - 178881. List the prime factors of c.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 170 in -40, -0.4, 5, -4\/9, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 6 + -9 + -29.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 94*g - 389. What is i(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1216)\/2731820*357 - (-14)\/91\nAnswer: -2\/395","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 - 46268*r\/3 - 267590978\/3.\nAnswer: -2*(r + 11567)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd83 (base 14) in base 15?\nAnswer: -a82b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24615, 24602, 24571, 24516, 24431?\nAnswer: 24310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 198*p**2 + 201*p = 0. Calculate p.\nAnswer: -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4719*k + 660664. Determine l(140).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**3 - 2*y**3 + 16*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97\/150 + -12\/25. Let c(d) be the second derivative of d + 0 + 0*d**2 + 1\/3*d**3 - x*d**4. Factor c(r).\nAnswer: -2*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 27 = -23*j - 63, 3*p + 47*j = 27*j + 24*j - 55 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1059 - 477. Suppose 3*i + 0*s = s + v, -5*i + 2*s = -971. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*y = -16, -24*y = -20*y - 4. Find the second derivative of 8*u**2 + 33*u**2 - 23*u**2 + 2*u - 72 + 69*u**2 + k*u**2 wrt u.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 3840*p**2 - 2073564*p - 12578976.\nAnswer: 3*(p - 414)*(p + 6)*(p + 1688)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v - 5. Let y be 1\/2 - (-325)\/(-130). Determine q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 1055. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**2 - 18*k**2 + 53*k**2 - 8.\nAnswer: 9*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.774685um to kilometers.\nAnswer: 0.000000007774685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a - 16. Let y(p) = -5822*p**3 + 4*p**2 - 4*p - 64. Determine -4*q(d) + y(d).\nAnswer: -5822*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 187, 661, 1451, 2557?\n\"Answer: 158*b**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40107 divided by 1383\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623542*n - 126 = 623584*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {g: 1, s: 9, p: 6, b: 1, q: 1, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from wxvvvwwvwvwwwvoxwv?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 140.1824ml?\nAnswer: 0.1401824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (sqrt(135)\/(sqrt(5) + sqrt(25)\/sqrt(5) + sqrt(5)) - sqrt(27)) - sqrt(189)\/(-1*sqrt(7))) + 1 + 3*1*sqrt(243)*2)**2.\nAnswer: 124*sqrt(3) + 11533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 21. Let h = -17 + b. Let y = -3 - h. Put y, 4, -0.1 in increasing order.\nAnswer: -0.1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s - 46. Let y be h(6). Suppose 5*u = -10*v + 5*v, 2 = -y*u - v. What is the smallest value in 0, u, -1, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 205834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**7\/840 + 7*v**6\/360 - v**4\/4 - 2*v**3 + 4. Let p(r) be the third derivative of t(r). Calculate p(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 11. Let n be w(8). Let x(f) = 5*f**3 - f**2 + 4*f**2 - f - 2*f. Let o(y) = -9*y**3 - 5*y**2 + 5*y. Let i = -5 - -2. What is i*o(r) + n*x(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64277 or 64272?\nAnswer: 64272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5512556 and 2191?\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(1456\/(-130))*4\/(-6)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r - 264 = -12 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00823403 rounded to four dps?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*a**2*s**3 + 4*a**2*s**2 - 254897*a**2 + 4*a*s**3 - 2*s wrt s?\nAnswer: -720*a**2*s + 8*a**2 + 24*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 8*v - 6. Let o be r(-3). Let s(g) = -7*g - 5*g + o*g. Let w(j) = -3*j. Give w(s(m)).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13893 and 3300?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvyfrfvyvvfvryf. Give prob of picking 1 m and 1 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 201 = x, 5*t - 4*x + 368 = 26. Let o = t + 61. Let s = -6 + 5.6. Which is the smallest value? (a) s (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -307\/1050 + 1\/150. Suppose -2*h + 2*c = -1 + 3, 0 = -5*h - 3*c - 29. What is the second biggest value in h, 2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1016953\/68 - -14955. What is the common denominator of g and 41\/316?\nAnswer: 5372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 34 = 6. Let g be 16\/42 + -1 - (-4)\/14. Let b = 0.5 + -0.3. Sort g, o, b in ascending order.\nAnswer: o, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6231, 12465, 18699, 24933, 31167?\n\"Answer: 6234*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020112020 - 10?\nAnswer: -11020112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-126)\/27 + 0).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + 6223c6?\nAnswer: 6223b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -58. Suppose d*p = 15*p - 352. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910103?\nAnswer: 3, 13, 17, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 4176*f**2 + 4173*f.\nAnswer: 3*f*(f - 1391)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v - 3. Let x be y(5). Calculate the greatest common divisor of 119 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:37 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j + 2*w + 1096 = 0, -5963*w - 28 = -3*j - 5968*w for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from dqhnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 235?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 138*o**2. Let r(m) be the third derivative of m**4\/12 - 708*m**2 + m. What is r(g(c))?\nAnswer: 276*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78.852 + 0.352. Let t = b - -79. What is t rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 z when four letters picked without replacement from {o: 2, n: 1, g: 3, z: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*u = -84*u - 688. Suppose -u = -4*o + 288. Is o a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -128342\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 9) to base 10.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -166.\nAnswer: -15\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d (base 16) to base 12.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25737 in 32, -0.3, -2\/25?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**6\/120 + m**5\/20 + m**4\/4 + 2*m**3\/3 + 3*m. Let h(b) be the second derivative of l(b). What is the tens digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, i: 3, d: 1}. Give prob of sequence diii.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 258, 545, 940, 1437?\nAnswer: 2030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 + x - 2. Let f be i(-4). What are the prime factors of (-4)\/f + 582\/30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*27\/(-99)*(-6)\/4.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -139824374 at least -139824373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 3*p + 8381. Calculate a(90).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*r. Let v = r + 4. Solve v*h + 24 = -4*y, -2*y + 7*y + 24 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321309122 to the power of 1\/3, to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u. Let r = 8 - 2. Suppose -18*c + 44 = -14*c. Suppose -r*m = -c*m - 55. Let f(y) = 3*y. Determine m*f(s) + 6*p(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 11. Let y be p(10). What are the prime factors of 9 - (-1 - (-2)\/y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13264\/78 - -14*(-24)\/6552. Solve 0 = -5*k + j - 190 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/((-437)\/(-19)))\/((-14)\/6 - -4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-12740)\/(-504))*(9 + (-735)\/90).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*q - 1988 = 240 - 304 + 2234 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:21 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351906798 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 697?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfv when three letters picked without replacement from zzsvnznffnzvzz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*o + 151 = 0, -o = 7*z - 2*z - 875. Calculate the greatest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**2 - 5*v + 5. Let n(h) be the second derivative of 5*h**4\/12 + h**3 - 3*h**2 + 50*h. Give -4*m(w) - 3*n(w).\nAnswer: 9*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + w**2 + w**3 - 3*w - 1 + 5. Let g be v(-4). Suppose -2*z + r = 2, g = -3*z - 4*r + 7 + 12. Calculate the highest common divisor of 11 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(121)*5)\/(sqrt(22)\/(sqrt(12)\/sqrt(6)))*1.\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 686234, 1372473, 2058712, 2744951, 3431190, 4117429?\n\"Answer: 686239*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*k - 0*s - 4*s, 3*s = 5*k - 4. Suppose -20 - 16 = 4*b + 5*a, 0 = -4*b - k*a - 36. What is the units digit of (-318)\/b - (-2)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*q + 14 = 0, -2*d - 3*d - q + 35 = 0. Let f = -10 + d. Is -87*(f + (-16)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.0818611 to one decimal place.\nAnswer: 66.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5336 - 10*x + 2657 + 2679.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*r = -102*r - 5*t - 19, 2*r - 2*t + 2 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1920 by 316966.\nAnswer: -960\/158483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -296 + 3*v - 96 - 58 + 21*v**3 wrt v?\nAnswer: 63*v**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 9*l**2 - 7*l - 21. What is the units digit of z(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57815340 by -60.\nAnswer: 963589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i. Let m be 8 - ((1 - -3) + -2). Let x(k) = k**2 + 5. Let b(u) = u**2 + 6. Let f(s) = m*x(s) - 5*b(s). What is f(w(l))?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(18) + sqrt(242)*-2 + (0 + sqrt(8) + sqrt(8) - -5*sqrt(8)\/sqrt(4)))*-2)**2.\nAnswer: -240*sqrt(2) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*s - 1658 = 113246. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -502257869173420 + 502257871532711.60144489. Let d = q - 2358271.60145. Let w = d - 1020. What is w rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229441 divided by -93?\nAnswer: 229441\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -220*g**2 + 11*g + 10. Let i(a) = -a**2 - 11*a - 20. Let m be i(-10). Let b be o(m). Round b to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.8 - -11. Let r = j + -0.2. What is the third biggest value in -5, -3, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364 + 361.2. What is the nearest to m in -1, 5, -0.06, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 283a97?\nAnswer: -283a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2255 = -5*m + 5*f, -4*f + 8 = -2*f. Suppose 6*w - m = w. What are the prime factors of w?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 86\/30 + -1 + 0 + -2. What is the fourth smallest value in -2\/9, 3, y, 1.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38)\/(-6))\/((-56)\/168). Put -1, 0, m in descending order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -7. Put n, -4, -19, -3 in decreasing order.\nAnswer: -3, -4, n, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -455*y. Let g(d) = -12*d. Give z(g(s)).\nAnswer: 5460*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*l**3 + 16*l**3 + 20*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101020 (base 3) in base 11?\nAnswer: -1337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.038*7714\nAnswer: 8007.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-44))\/(6210\/11385))\/((-1)\/128)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 16*l**2 - 1. Let y(d) = 55*d**2 + 25*d - 3. What is 3*b(z) - y(z)?\nAnswer: -7*z**2 - 25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -44. Calculate the remainder when (5 - 6) + 136\/4 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 35 = 2*n, 2*n = -u + 19 + 10. Let v = 62 - 62. Suppose 4*w - 137 - 103 = v. Calculate the remainder when w is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let t be 12*1*4\/6. Let w(u) = -2*u**2 + 8*u - t*u. Determine w(h(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-11) - (-2700)\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-2 - 14 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 2*a**2 + 11*a + 23. What is the remainder when 831 is divided by t(-4)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 - 74 = -5*l. Suppose -1 + 11 = 5*d. Let u be d\/(-6) + 204\/(-9). Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1 - ((sqrt(5) - (sqrt(5) + 1)) + -3))**2.\nAnswer: -56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 231\/(-35) + (4 - (-88)\/(-20)). Sort 0, -4, k, -1 in increasing order.\nAnswer: k, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:06 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -571875, -1143802, -1715731, -2287662, -2859595?\n\"Answer: -w**2 - 571924*w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 576505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1271234*w - 1244384 wrt w?\nAnswer: -1271234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-9)\/90*-5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/20 and 82\/4 + 10\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 239*r - 953. Let j be b(4). Solve -v + 6 = -5*c, -3*c + 5 = -j*v - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173 - 67 - 85)*(u - 1 + 1) + ((2*u - 2*u + u)*(2 - 1 + 1) + 12 + 8*u - 12)*(-1 + 3 - 4) to the form l + a*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 4. Let o be g(-3). What is the units digit of 600\/14 - o\/(-49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.99 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 2*a - 2*a + (5 + 2 - 3)*(18 - 106*a - 18) + ((0 + 2 - 4)*(-2 + 4 - 1) - 2 + 3 - 4)*(2*a - a + 0*a) to the form h + y*a and give y.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14\/45 - -1\/5. What is the second biggest value in 2\/11, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) -5 (c) 1357.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -22*p - 153. What is the units digit of o(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = 4*y + 4, -2*y + 9 = 3*m. Suppose m*t - 3*g - 30 = 0, 4*g = -3*t - 1 - 4. Suppose -4*r - 2073 = -p, -5469 = -t*p + 2*r + 4806. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15)*(-222)\/(-4))\/(((-98)\/28)\/7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 955 + -955. Solve j = 997*l - 993*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -404 - -788. Let p be (-134)\/(-12) + (791\/42 - 18). Calculate the greatest common factor of p and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215 - 205. Let n be (-7)\/(84\/d)*(10 + -1). Which is smaller: -9 or n?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -3, 3\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103213 (base 4) in base 3?\nAnswer: 1201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + 9*r)*(3 + r - 1 + 3*r)*(-4 + 2*r + 4).\nAnswer: 48*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-35)\/(-20) - 14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726115254 is divided by 6153519?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -4\/509911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1)*k*k*k)\/(k\/(k\/(k*k**(-3)))))**(-1\/13))**45 assuming k is positive.\nAnswer: k**(-225\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 3380340?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c + 126?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.0939195.\nAnswer: 0.0375678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1039 and -22.\nAnswer: -22858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l + 9, -c = 5*l + 26. Let f = 6 + c. Factor n**5 + 4*n - f*n**4 + 13*n**3 - n**4 - n**2 - 11*n**2.\nAnswer: n*(n - 2)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 3*a + 1. Let o be g(-3). Suppose -o = 3*q - 22. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -3) + -7 + 5. Let g(a) be the first derivative of -4 + 0*a + 0*a**4 + 0*a**2 - 4\/3*a**y - 3\/5*a**5. Find the third derivative of g(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -4*l + 5*f, -3875524*f + 17 = 4*l - 3875527*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 15*v - 31. Let z(l) = -6*l - 1 + 2 + 8*l - 2. Let s = -6 - 1. Let h(j) = -5*j + 2. Give s*z(p) + v*h(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49379340 divided by -2.\nAnswer: -24689670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28053, 46888, 65727, 84570, 103417, 122268, 141123?\nAnswer: 159982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2 + 80*u = 0?\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:19 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 13*u**2 - 6*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85427908.\nAnswer: 2, 277, 77101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**4\/7 - 304*x**3\/21 - 2888*x**2\/7 + 147. Factor o(q).\nAnswer: -4*q*(q + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 10, -1705 in ascending order.\nAnswer: -1705, -7, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (3324\/(-741) - -2). Let n = -20\/19 + s. What is the biggest value in n, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v - 3*v - v)*(4 - 4 - 2*v) - 3*v**2 + 3*v**2 + v**2 + v**2 - 5*v**2 - v**2 + (-4 + 1 + 2)*(v**2 + 11 - 11) in the form t*v + j + i*v**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 10:04 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 32*m + 10. What is the remainder when 168 is divided by p(33)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 219?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50*-1*(-7 + -4). Let v = -65 + t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 21*r**2 - 31*r - 19. Let s(m) = -4*m**3 - 64*m**2 - 94*m - 56. Let z(f) = -11*h(f) + 4*s(f). Suppose z(c) = 0. Calculate c.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3618 = 89*g + 67*g - 2154 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69122 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 18)*10\/(-320).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.036 - 0.754. Let b = 0.29 + k. What is the second biggest value in 0.1, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14148*p - 764609 - 268195 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -5\/9*p**3 + p**2 + 1\/12*p**4 + 0*p + 21. Let l(x) = 0. What is x?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, q: 1, r: 3, c: 1}. What is prob of sequence ttr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 46144?\nAnswer: 46136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40594 or -40694?\nAnswer: -40594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 223302?\nAnswer: 223300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**8\/84 + 8*p**7\/105 + 59*p**5\/15 + 19*p**2. Find the third derivative of r(b) wrt b.\nAnswer: 240*b**2 + 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (104 + -60 + -8 + (17 - 1))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -12*r - 5. Let n be p(-2). Suppose n*m + 224 = 15*m. Let y = -12 - m. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*m - 2 - 38 = 0, -4*m = 3*r - 90. What is the remainder when 164 is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 2. Suppose -n + 1 = -j. Let k(b) = b + b**n - b. Let u(r) = r**2. Calculate u(k(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) -0.2 (c) -5 (d) 1\/8 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1341*j + 294*j - 5849 = -9309 - 22715 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 + 161. Suppose -3*a + a - 4*c = -8, -2*a = -p*c. Factor -3\/5 - 1\/5*z**a - 4\/5*z.\nAnswer: -(z + 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215052 (base 6) to base 16\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4287261*j**2 + 4071744.\nAnswer: -8574522*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101201 + -12?\nAnswer: 12101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -22*t + 48. Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 36*i**2 - 1113*i - 91. Determine t(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-38)\/(-2) - 1. Calculate the common denominator of -39\/20 and (-1)\/6 + (-28)\/i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1212047\/40 - 30299. Calculate the common denominator of -49\/20 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 531.415 - 532. Let k = -4.585 - x. Sort k, 7, 17 in ascending order.\nAnswer: k, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40402 is divided by 12123.\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c39 (base 13) in base 10?\nAnswer: 17455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/12 (b) 0.3 (c) 1\/14 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 5*w - 2 - 18, 0 = -4*w + 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y = -28*y, 8 = 2*s - 4*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4*p**2 + 33*l**4 + 29*l**3*p**2 - 3869*l**2*p - 2*l**2 + 2*l*p**2 wrt l.\nAnswer: -48*l*p**2 + 792*l + 174*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - (-27 - -11)) + 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/1270784 and 19\/299008.\nAnswer: 5083136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949, -3760, -8419, -14908, -23209, -33304, -45175, -58804?\nAnswer: -74173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 4)*(5 + 2*w - 1 - 2) in the form r + c*w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*x**3 - 4*k**3*x**2 - 8*k**3 - k**2*x + 434*k*x**3 - 19*x**3 - 150 wrt x.\nAnswer: 6*k**3 + 2604*k - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:29 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5943 and 20475?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 36, 19, -574 in decreasing order.\nAnswer: 36, 21, 19, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/2 of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -595 + 3?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31051331?\nAnswer: 491, 63241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 125, 321, 647, 1103, 1689?\n\"Answer: 65*l**2 + l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 291*p - 10*p**2 + 2 - 2*p**3 + 292*p + 8*p**2 in the form f + h*p**3 + u*p + q*p**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 + -176.1. Let g = r - -16. Is g != 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20128)\/(-1332))\/34)\/((-6)\/(-1701))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**4 - 6*x**2 + 2. Let i(q) = -3*q**4 + 5*q**2 - 2. Let w(l) = 5*h(l) + 6*i(l). What is the first derivative of w(r) wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -1 - 2. Let m be -5 + (5 - 2)\/3. Let x = -134 + 139. Put m, g, x in decreasing order.\nAnswer: x, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 11:13 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3846.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 315958, 631914, 947870, 1263826?\n\"Answer: 315956*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 4*f**2 + f**2)*(2 + 0 - 1) + f**2 + 3*f**2 - 5*f**2 - 3*f**2 - 3*f**2 + 4*f**2 + ((f + 2*f - 7*f)*(0 + 5 - 4) + 0 + 0 - 2*f)*(3*f - 5*f + 0*f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p + 4*p - 7*p**3 + 6*p**3 + 4*p - 4*p + 3*p**3 + (0*p + p - 2*p)*(2*p**2 - 5*p**2 + 2*p**2).\nAnswer: 3*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29\/3? (a) 0 (b) 18 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da + 372?\nAnswer: 45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 0.085.\nAnswer: 51.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16502.\nAnswer: 2, 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) -9 (c) 0.03 (d) 5.4 (e) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -j + 148, j + 56 = -5*n + 4*n. Let t = n + 51. Solve -3*f - f - 12 = t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -3479491339.\nAnswer: -3479491339.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0133001435 + 0.0133. What is z rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7253 + t**2 - 17*t**3 - 42*t**3 + 13*t - 7252 to y*t**2 + x*t + z*t**3 + k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n - 1 + (-4 + 3 + 2)*(2*n - 1 + 1) + 2*n - 2*n + 2*n + 0*n + n - 2*n + (-n + n + 2*n)*(4 - 3 - 3) + 1 - 1 - 2*n)*(n**3 + 5*n**3 + n**3).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53016482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/40 + 2\/5 + -1. What is the nearest to 3 in 1, x, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -1. Suppose 10 = 5*l - c. Is l less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0 + 4. Suppose -2*u - 25 = -5*j, -u + r*u + 2*j = 10. Suppose u = 4*w - 5 - 11. Calculate the lowest common multiple of w and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 + o - 1. Let k(g) = -8*g**3 - 4*g**3 + g**2 + 9*g**3 - 5*g**3 - 3 - g + 4. What is k(h) + u(h)?\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 514127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -29, -30, -31, -32?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 0.33. Let k = -29 + 47.5. Let f = k - 18. Which is the biggest value? (a) f (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4309500 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196781 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2050 and -7\/5945.\nAnswer: 59450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 56786.77 nanoseconds?\nAnswer: 0.05678677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 17*v - 7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - 1. Let h = k + 18. Let v(z) = -z**2 - 5*z - 2. Let w be v(-4). Solve 6*x - w*x = h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 + 25*o - 2. Let h(b) = -b**2. Determine 4*h(k) - t(k).\nAnswer: k**2 - 25*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 2*p - 4 + 62 = 11*z - 72, 0 = z - 5*p + 26 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/12 - p**3\/6 - p**2\/2 - 364*p. Let o(y) = y**3 - 4*y**2 + 10*y + 4. Determine 4*a(v) + o(v).\nAnswer: v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/8 (b) 0 (c) 2\/101 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 860551243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*f - 18 = -2*b, -4*f = 3*b - 15. Is 15 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64.62 - -36.62. Let r = 0.1 - 0.3. What is the second smallest value in -0.5, r, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/3 - 5*y**2\/2 + 8*y - 8. Let t be h(6). Solve -5*k - 2*s = -t, s + 3*s = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -19*k**6\/360 - k**4\/24 - 3*k**3 + 23*k**2. Let r(v) be the first derivative of g(v). Differentiate r(p) wrt p.\nAnswer: -38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164582 a multiple of 1746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -31433?\nAnswer: 31424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 757, 2780, 4789, 6778, 8741, 10672?\nAnswer: 12565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179 (base 15) to base 6.\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 - 87188*b = 0.\nAnswer: 0, 21797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*d**2*l**3 + d**2 + 468*d*l**4 - 206*l**2 - 55*l + 3 wrt l.\nAnswer: -192*d**2 + 11232*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g = -4*g - 189. Solve 0 = g*m - 156 + 114 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 6*b - 306. Suppose 5*u - 61 = -b. Factor 17*a**4 - a**2 + 2*a**3 + 2*a**2 + 2*a**u - 18*a**4.\nAnswer: -a**2*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-1) - 1 - -4. Solve -x + c*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 6 - 4 - (-9 - 10). What is the greatest common factor of y and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9))**(-6))**(-38) assuming m is positive.\nAnswer: m**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22\/1113 - -13945\/1484. Find the common denominator of 69\/38 and w.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i + 137. Let m be z(10). Solve 3*l + 2*l + 27 = -j, -5*l - m = -4*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*l + 289*l + 10 + 43 + 27.\nAnswer: -l + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 7*n**2 + 9*n + 25. Let c be u(-5). Suppose -11*p = -5*p - c. Suppose -2 = -y + 3. Solve -p*s - 2 - 3 = w, -w + 5*s + y = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6615.918cm in nanometers?\nAnswer: 66159180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72560.5kg to milligrams.\nAnswer: 72560500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-5))\/((-45)\/(-75)). Which is the smallest value? (a) -0.3 (b) j (c) 2\/9 (d) -19\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 5264406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 0. Let w be (24\/(-18))\/(1\/(-3)). Solve -w*i - g = 5*m, -6 = -i + 5*m + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 28 = -2*g. Let r(d) = -d**2 - 9*d - 6. Let y be r(g). Suppose -4*k = -3*k + 4*w - 19, -4*k + 5*w - y = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 15 = -4*o. Suppose 27 = -30*n + 87. Suppose -o*v + 2*p + 161 = 0, n*v - 4*p + 49 = 151. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 10, 3*m + 0*m - 16 = -s. Let o = 0 + s. What is the tens digit of 19\/2 - o\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*g + 9, 3*h - h = -2*g - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -260.7*-0.031181\nAnswer: 8.1288867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21*((-4)\/3 - -1). Suppose -16 = -4*u + 4*x, 3*x + 2*x = -5*u + 10. Suppose 0 = -u*q - 3, -4*s + 5*q - i = -20. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 5, 1 in decreasing order.\nAnswer: 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l - 15. Let p be i(-20). Suppose 2*f + d - p = 0, 240 = 3*f + d + 2*d. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + -26. Let u be -810*(y\/(-10) + -4). What is the common denominator of 6\/27 - 639\/u and 59\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 6:32 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rddrrr. What is prob of sequence rdrd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 3, c: 10}. Give prob of picking 1 c, 1 s, and 1 n.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 15066*k\/7 - 2152.\nAnswer: -2*(k - 7532)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-40)\/(-400)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110 - -100?\nAnswer: -11100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - 1048355?\nAnswer: -104832b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*i - 2*k + 62, k = i + 25. Let z = -25 - i. Solve -2*j - p = 3*p + 26, -z*p - 23 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 - 2*l**3 + 8*l**2 + 8*l = 0. Calculate l.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8. Let g = -3 + 5. Find the third derivative of a**3 + h*a**2 + 2*a**g + a**3 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1296*d**2 - 3*d - 1298*d**2 + 3*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -y. Let s be (6\/18)\/(y\/(-213)). Let w = -47 - s. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -173, 0, -0.2, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - -9) + (-2 - -2). Let u = z - 7. Suppose u*r = 21 + 29. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/12 - d**3\/6 + d**2\/2 - 4*d. Let p(v) = -4*v + 5. Let j(i) = p(i) - 5*t(i). Give j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Let n = 2691 - 2696. Sort 5, 7, p, n in descending order.\nAnswer: 7, 5, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)\/((s**(-3)*s)\/s))**(-2) assuming s is positive.\nAnswer: s**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102001 (base 3) in base 6?\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1856*q**3 - 2*q**2 + 2702*q.\nAnswer: 11136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 - 2*m - 1. Give d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:14 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 12, w: 1}. Give prob of sequence nin.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 511, 518?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -119. Let i = y - -59.1. Let t = -1.8 + 1.3. Which is the second biggest value? (a) i (b) 1\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277172.\nAnswer: 2, 7, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 133*u + 2243. Let h be w(-17). Let n be -2 - 3*-1 - 1. Is (n + -3)\/(h\/27942) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3, 2*y - 2*v + 0*v = 16. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 13 = -4*m, 18 = 3*d - 5*d + 2*m. Let j be 7\/(-21) + 10\/3. Let f(t) = 9*t - 11. Let y(k) = 4*k - 5. Let a(c) = d*y(c) + j*f(c). Calculate a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.64912 - -0.05.\nAnswer: 1.69912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244249468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2223?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9019*d**2 + 8657 - 17292 + 8635 to the form f*d + x*d**2 + b and give x.\nAnswer: 9019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2172 + 201?\nAnswer: -1c71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, -4\/9, 0, -8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.00038 + -15. What is p rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126.0000198 - -126. What is i rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 36125*b**4\/4 - 2*b**3\/3 - 5*b**2\/2 + 18*b + 116. Let z be t(2). What is z rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 94*f - 89*f - 3*f**3.\nAnswer: 2*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -37\/1190527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - h**3 - 5*h)*(-204 - 382 - 185).\nAnswer: 771*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1\/5, 4, 0 in ascending order.\nAnswer: 0, 1\/5, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3, -3\/2, 1\/6, 57.18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5474\/5 or -32\/9?\nAnswer: -5474\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -423? (a) 1\/2 (b) -12 (c) -0.1 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/155)\/((8442\/(-335))\/(-63))*1.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381639605 and 465?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*k*n*v*x - 3*k*v**2 + 3*k*v*x + 118*n*v**2 - 4*n*x wrt k.\nAnswer: 40*n*v*x - 3*v**2 + 3*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a factor of 20673626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -21, -10, 1?\n\"Answer: 11*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 6*y - 1. Let w be c(-5). Let z be 62\/5 + 4\/(-10). Calculate the greatest common factor of z and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 61, 115, 187, 283, 409?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-18) + 7200\/1350 + (-151 - (-2 - -1))?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11210113220 + 1?\nAnswer: 11210113221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 327 - 5*o - 390*o**4 + 333 + 388*o**4 as j*o**2 + b*o + i*o**4 + p*o**3 + u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -959, -961, -963, -965?\n\"Answer: -2*d - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3870*c - 7739. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 22*f - 48. What is g(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**2 + 80*t + 5684 = 0?\nAnswer: -29, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8 = -3*z. Let w be (-4)\/6 - (z + (-6)\/9). Let d = -7 + 7.3. Put d, 2, w in decreasing order.\nAnswer: 2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 18569 - 5867. Is r at most as big as 38110\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -33, -4\/5, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -562, -1251, -2206, -3421, -4890, -6607?\nAnswer: -8566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0855681 kilometers in micrometers?\nAnswer: 85568100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-7) - (-22)\/(-77). Factor 10*s + 3*s**2 - 12*s**2 - 4*s**a + 8*s**2.\nAnswer: -5*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 37*z - 59. Let n be t(20). Are 46 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 10. Let p be o(7). Suppose -3*f + 3*c - 12 = 0, 3 = -p*f + 4*c - 12. Let d(y) = 7*y - 1. Let i(h) = -h. Let a(m) = -d(m) - 5*i(m). What is a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6888 + 14712. What is w rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -867 divided by 51?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (2 + 0)) + 8 - (143 - 135).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:25 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -279 + 392. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 58 = -4*p, -5*v + 0*v + 13 = -p. Let d = p + 3. Suppose d - 3 = 4*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20638 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = d - 4, 3*c + 5 = -4*d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*g + 199, 6*i - 2*i + 5*g = -149. Let m = 61 + i. Calculate the smallest common multiple of m and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from sznnp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (117\/6)\/((-111)\/(-148)). Calculate the highest common divisor of g and 10894.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**3 - 464*m**2 + 1784*m - 1784. Let k(g) = -9*g**3 + 462*g**2 - 1785*g + 1782. Let v(u) = 3*i(u) + 4*k(u). Factor v(b).\nAnswer: -3*(b - 148)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4*k - 32. Let x be -26 - (-9)\/3 - -3. Calculate the lowest common multiple of (-5)\/x + (-7)\/(-4) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 32. Calculate the smallest common multiple of c and (16\/(-28))\/(9\/(-567)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.7381 - 123972041\nAnswer: -123972036.2619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12628397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5\/33, -1\/76, -1.7 in decreasing order.\nAnswer: -1\/76, -5\/33, -1.7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 60 = 5*a, 0 = -5*a - 16*z - 19148 + 19197 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 6*h + 6. Calculate the lowest common multiple of 4 and n(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6)**(-14\/15)*((y*(y**(-2\/35)\/y*y*y)\/y*y)\/y)**(-14) assuming y is positive.\nAnswer: y**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*m - 4*m + 33*m)*(3*m**3 + m**3 - 2*m**3) + 0*m**4 - 3*m**4 + 4*m**4 to s*m**3 + p*m + y*m**2 + u + a*m**4 and give a.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -3\/7 (c) -397\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -3 (b) 0.081 (c) -1\/3 (d) -56.94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevjvvvvjejejvvvvej. What is prob of picking 1 j, 1 e, and 1 v?\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (108\/63 - -1) + (-4)\/(-14). Suppose n + 76 = 5*n - 4*k, -m*n - 5*k = -89. Solve -3 = -3*v - 3*y, -3*v + y + y = -n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2788*r + 122641. Give a(-44).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**3 - n**3 + 0*n**3)*(-148 + 20*n + 148) - 4*n**4 + n**4 + 4*n**4 to m*n**3 + z*n + y*n**2 + f*n**4 + i and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63) - sqrt(3087)*1) + sqrt(63) + (sqrt(378)*2 - sqrt(378))\/sqrt(6))\/(sqrt(729)*2*3))**2.\nAnswer: 28\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (154*x + 809*x - 130*x)*(2*x - 2*x**3 - 2*x) in the form t*x**4 + m + l*x + v*x**2 + h*x**3 and give t.\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -63 (b) -5 (c) -4 (d) 1\/20 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 2*w. Let z be s(2). Let d be -12*(-3)\/((-36)\/z). Suppose -u = 2*n + 1 - d, 0 = 5*n - 10. Which is the closest to -1? (a) u (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5*b**2 - 4*b**2 + 0 - b**4 to the form r*b**4 + d*b**3 + u*b**2 + h + z*b and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101123, -101469, -101815, -102161, -102507, -102853?\n\"Answer: -346*g - 100777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {d: 2, l: 3, s: 3, r: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -1 - (7 + -27 + 12 + 1 + -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 4*l**4 - 3*l**4)*(-2 + 6 - 2 + (0 - 4 - 2)*(4 - 1 - 1))*(-4 + 1 + 1).\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3124.7137 + -3125. What is a rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h**5\/3 + 4790*h**4 - 419008*h**3\/3 + 451450*h**2 + 365000*h\/3 = 0. Calculate h.\nAnswer: -1825, -1\/4, 0, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 3. Solve 0 = -2*p + 2*y - 4, p - 5*y + j + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/20*-1*(-1)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -18250333?\nAnswer: -20\/18250333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1603.2399 months to millennia.\nAnswer: 0.133603325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*m**5 - 17*m**4 - 10904*m**3 + 397504220*m?\nAnswer: 1380*m**3 - 204*m**2 - 65424*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(360) - (2*sqrt(360)*5 + sqrt(360))) + sqrt(360) + sqrt(360)))\/(2*sqrt(968) + sqrt(8) + sqrt(32)\/sqrt(64)).\nAnswer: -192*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*s**3 + 713*s**3 + 2*s**2 + 551*s**3 - 2*s**2.\nAnswer: 1028*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74322 + 6689053\/90. What is the common denominator of t and 68\/81?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -820*k - 671. What is the tens digit of p(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5161876 centuries?\nAnswer: 5.161876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/i*i**(-2\/3)\/i)**(1\/6) assuming i is positive.\nAnswer: i**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1077207, 2154401, 3231595, 4308789?\n\"Answer: 1077194*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - j - 12 + 3*j)*(2 + 3 - 3) to l + x*j and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(14)\/sqrt(2)) - 2*sqrt(80).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.127147? (a) 0.9 (b) 92 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-35)\/994) - (5 - 1). What is the common denominator of -19\/18 and (-15)\/63*(5 + u\/(-36))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529806301 to the nearest integer?\nAnswer: 23018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*q**2 - 8\/7*q + 1.\nAnswer: (q - 7)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003875 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 58*i. Let n(v) = -1 - 39*v - 4 + 5. Let z(w) = 5*l(w) + 7*n(w). Let s(x) = 0*x + x - 3*x. Determine z(s(h)).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*36*(-276)\/9. Is w\/(-42) - (-2)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20860 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 + -71. Let m = x + -24. Calculate the remainder when 85 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (-59 + 59 - (13 + -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0 + 0*g**6 + 5\/3*g**3 + 0*g + 0*g**5 + 0*g**4 - 8*g**2 + 1\/35*g**7. Differentiate b(r) with respect to r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001004 to six decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7106\/6)\/(3\/9). Let l = 2083 - v. What is l rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 4\/7, -0.5, -2\/7, 130.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w + 6. Let c(n) = -14*n + 15. Let l(v) = -2*c(v) + 5*q(v). Let p(r) = 1461*r**2. What is p(l(t))?\nAnswer: 5844*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.057? (a) -6 (b) 2\/175 (c) 1 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*g + 3*t, 3 = 3*g - 5*g - t. Let i(k) = -k**3 + k**2 + k. Let y(h) = 8*h**3 - 8*h**2 - 6*h + 1. Suppose -5*d = 24 + 6. Give d*i(v) + g*y(v).\nAnswer: -2*v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2. Let a be l(0). Suppose a = 7*v - 2*v - 705. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (42 - 35) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4296990 divided by -430?\nAnswer: 9993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -40 - (-93 + -25)) + -11\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-7 + 12 + -19)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 7*g**2 - 11*g - 1. Let y be x(-5). Solve -y*p + 4 = -0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 + -155. Let p = -19 - -40. What is the remainder when (-14)\/(-2) - 6 - s is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -62\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1638930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/61 + 67\/183. Let t = -3.4 + 1.4. What is the closest to g in t, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 14*i**2 - 14*i + 2. Calculate c(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5035386.\nAnswer: 2, 3, 29, 43, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3066462741.\nAnswer: 3, 23, 43, 61, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571282, 1142578, 1713872, 2285164?\nAnswer: 2856454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 21*c**2 - 44*c - 1450. Let t be y(-22). Let b(l) = l**2 - 8*l + 5. Let g be b(6). Which is greater: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*i - 90. Let z(d) = d**3 + 16*d**2 + 12*d - 30. Calculate the remainder when i is divided by z(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5656 and -3.\nAnswer: -16968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -0.4, 2, -1944, -1, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -11*j - 4. Solve j + 1 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78) - -3*((sqrt(78) - (sqrt(78) + -1*sqrt(78))) + sqrt(78)))*-4)\/(-3*sqrt(6)*3 + (sqrt(6) - (sqrt(6) + sqrt(72)\/(2*sqrt(12))))).\nAnswer: -56*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 22969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*n = -5, -5*u + n - 8 = -18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*17.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2*13\/(-182))\/((8\/1488*3)\/(-1))\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1232\/336)\/(1\/(-3))*15*8\/40?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13013330333 (base 4) to base 14\nAnswer: 36886b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103.7 - -104. What is the nearest to -2\/3 in o, 5, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1114*v + 1834. What is the hundreds digit of y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*c**2)*(-28*c + 28*c - 11*c**2) - 22*c**4 - 10*c**4 + c**4 + (c - c + c)*(6 - 4*c**3 - 6) as y*c**2 + h*c**3 + r + b*c**4 + a*c and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 117*r - 370. Calculate s(112).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12\/13 - 58\/91. Let g be (-15)\/(-6)*-2*-1. Suppose 0*k + 23 = -5*k - 4*m, 2*m - g = 3*k. Sort x, k, 2\/13 in ascending order.\nAnswer: k, 2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 879804.9 months to years.\nAnswer: 73317.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2747993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5 - 6 - 1 + 0 - c - 2*c**2 to h*c**2 + q + o*c and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 3*n**2 - 4*n - 2. Let b be l(-4). Let i be (8\/10)\/(b\/(-5)). Solve -i*q + q = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*g + 0 = 4, 0 = 3*s + 4*g - 14. What is the lowest common multiple of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001749749228 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - f - 2, -f = 2*r + 2 - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.691623um to centimeters.\nAnswer: 0.0004691623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose -k*a + 4 = -4. What is the tens digit of ((-2)\/a)\/((-2)\/48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {z: 11, u: 1, o: 5}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 + 6 - 15*n + 32 wrt n?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(2\/5)*p\/p**(-22))\/((p**(-32)*p)\/((p\/p**(-1\/6))\/p)) assuming p is positive.\nAnswer: p**(1673\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-8))\/(11459\/111316)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -20. Let d = -474 + 6651\/14. Find the common denominator of o and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30331293 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 15*h**2 - 114*h - 346. Give s(0).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.39 (b) 0.2 (c) 15 (d) -5 (e) 29 (f) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 60966235 - 3*i + i**2 - 60966199 - 2*i**2 to x + s*i**2 + b*i**3 + u*i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 2*t + 4. Let w(n) = -9*n - 9 + 0*n + 4*n - 2*n**3. Give -9*l(x) - 4*w(x).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 104?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -46. Put 4, 3, l in ascending order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 20 - 4*i**5 + (2*i - 5*i + i)*(-4*i**2 + 4*i**2 + 3*i**4).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 128559*p**2 - 119*p - 1978. Let x be z(-26). What is x rounded to the nearest 1000000?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(2*(sqrt(56)\/sqrt(7) + sqrt(8))))**2 + 0 + (sqrt(1008) + 3)**2.\nAnswer: 72*sqrt(7) + 16279\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131623, -131624, -131625, -131626, -131627?\n\"Answer: -y - 131622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 43*z - 213. Give b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/25 + -2\/25. Let s be (2 - 3) + 2\/224*366. Let w = -15\/7 + s. What is the biggest value in w, -3, d, -2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**4 + 2*q**4 + 2*q**4)*(-3*q - 28*q + 28*q + 105).\nAnswer: 3*q**5 - 105*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 212\/5. Factor 4\/5*w + 0 - x*w**2.\nAnswer: -2*w*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/18 and -113\/29000430?\nAnswer: 29000430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/50 - 26\/(-5). Suppose r = 0, 0*n + u*r = -5*n + 90. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/44 and 67\/488928.\nAnswer: 488928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - sqrt(72)*-2))*-2)\/(1*sqrt(6)*6 - sqrt(294)*-1).\nAnswer: -16*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - c + 4)*(3*c - c - c) - 2*c**2 + c**2 + 0*c**2 - 3*c**2 + 0*c**2 + c**2 + (c - 2 + 2)*(2*c + 0*c - 3*c) + 0*c - c**2 + 0*c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2. Let s be (-1)\/((3 - 0)\/(-24)). Let r(i) = i**2 - 7*i - 6. Let g be r(s). Let k(f) = -5 + g*f**2 + 5. Give k(c(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1901671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 3*f**3 + 3*f**2 + (5 - 5 + 3*f**2)*(-4*f + 2*f + f) to h*f**2 + l*f + x*f**3 + m and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 3 (c) -238 (d) 1\/6 (e) -0.1 (f) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 4:34 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1191 - 544 - 589 + 4*g)*(-4*g + 2*g + 3*g) in the form v + d*g**2 + j*g and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 7, z: 3}. What is prob of picking 2 t and 2 q?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3253704*k**3 + 3912921*k wrt k.\nAnswer: -19522224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o + o**2 + 5 + 7*o + 10. Let p be w(0). Let t be (0 - 0) + (4\/p)\/2. Is t at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*p**2 - 2 + 2*p - 78*p**2 + 2 - 22*p**2 as l + y*p**2 + c*p and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8540\/6710 + 92\/(-55)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 23*s**5\/60 + 3*s**2. Let o(n) = -n**2 - 2*n + 8. Let f(z) = z**2 + z - 4. Let p(c) = 2*f(c) + o(c). Give b(p(k)).\nAnswer: 23*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19413 is divided by 77.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Let n be (-3)\/(-2)*(-36)\/(-27). Solve 4*a + 3 - 17 = -2*r, d*r - 10 = -n*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**6\/180 + 15*a**4\/4 + 26*a. Let p(k) be the third derivative of s(k). Let m(o) = -3*o**2. What is p(m(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.5 + 51.6. Sort q, -10, 5 in ascending order.\nAnswer: -10, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22339 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 + n - 48 to v + s*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2936 = -13*p - 219. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -266*n**2 - 12*n + 4.\nAnswer: -532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20232 and 131052780.\nAnswer: 262105560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f + 162. What is the second derivative of j + 145*j**2 + 136*j**2 - f*j**2 - 7 wrt j?\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*q = 4, 4*q = -l - 5 - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 304. Does 2 divide n(-57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqi when three letters picked without replacement from {n: 2, x: 4, k: 2, q: 2, i: 2, t: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 6, w: 2, j: 3}. Give prob of sequence aj.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 - 5.2. Let f = -6 - r. Is f not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 37, -58, -15 in decreasing order.\nAnswer: 37, 5, 3, -15, -58","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from bhbqqqbbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 1838 in ascending order.\nAnswer: -5, 4, 1838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16.4598 times -0.4\nAnswer: -6.58392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:45 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 150*v + 3 + 0 - 1.\nAnswer: -150*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 248.6539939684 and 1.\nAnswer: 249.6539939684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((8\/(-6))\/((-2)\/(-3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(72) - ((sqrt(72) - 1*sqrt(72) - sqrt(72)) + sqrt(72))*-4).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11204 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-74) - (-75)\/(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 18*g = 0. Suppose -4*w = 6 - 14. Suppose -w*s + 4 = -g. Calculate the smallest common multiple of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 6*s + 4. Let t(v) = v**3 + 6*v**2 - 6*v + 4. Let z be t(-6). Suppose 23 = -3*y + 2*f, 4*y - 3*f - 2*f = -z. Is h(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**3 + 4831888*v**2 - 250820641*v wrt v.\nAnswer: 6*v + 9663776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 41812*g - 21269*g - 20442*g + 2.\nAnswer: 101*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (210\/45 - 5)*1. What is the nearest to 0.1 in s, 0.1, -1, -39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10.73 (b) 18\/7 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*f**2 + 6034*f - 3018*f - 3016*f + 134*f**2 + 738*f**2.\nAnswer: 1292*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, 1 f, and 1 e when four letters picked without replacement from {v: 1, p: 6, e: 1, s: 7, q: 2, f: 2}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 50. Let p be 4 + 3 + -7 + l. What is the second biggest value in p, 19, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3181*w + 9809 = 1699 + 4339 - 21677 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/11, -1\/9, 20.\nAnswer: -0.4, -2\/11, -1\/9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6675 (base 8) in base 4?\nAnswer: -312331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000522763809 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 435*(-2 - (-30)\/18). Let o = 154 + f. Suppose 9 = 5*u - 21. Calculate the greatest common divisor of o and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -45.3156006?\nAnswer: -45.2156006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3710000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/192636 and -55\/156.\nAnswer: 2504268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1204.5 - -1205. Which is the second smallest value? (a) -1 (b) 3 (c) -5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (42\/3)\/(-7). Suppose c = 142*t - 143*t + 4. Solve j = 3*j - t, 3*g + 13 = 2*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**4\/i)*i)\/(i*i**0)*i**(3\/2)\/(i\/i**(-1)))**(-3\/5) assuming i is positive.\nAnswer: i**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -151 (b) 6\/25 (c) -0.5 (d) -4 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163288955*p**6 - 157139*p**2 + 382*p + 2 wrt p?\nAnswer: 19594674600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icjgjiigcynign. What is prob of sequence nyn?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 938682360 by 6.\nAnswer: 156447060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t = -41*t + 198. Find the first derivative of 33*v**2 - 57 - 2*v + 30*v**2 - t*v**2 + 183 wrt v.\nAnswer: 90*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 6, 0, 2\/223.\nAnswer: 0, 2\/223, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41663841701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -3279 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 6*f = u + 13, -4*u + 4*f - 20 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702721841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and 14.278?\nAnswer: -5.42564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -60031025\nAnswer: -840434350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 619*r**3 + r**2 + 8. Let n(x) = 620*x**3 + x**2 + 6. Calculate 3*h(l) - 4*n(l).\nAnswer: -623*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162)*-2 + -1 + sqrt(162) + 3*sqrt(162) + -4 + 1*(0 + sqrt(162))*2*4)**2.\nAnswer: -720*sqrt(2) + 16216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -177 - -3?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 9 - (13 + -34 + 33).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-3 + 3) - 6. Let o(x) = -5*x**2 + 8*x + 8. Let j(m) = -4*m**2 + 6*m + 6. Let r(l) = a*j(l) + 3*o(l). What is r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.1. Suppose 83*w = 60*w + 29 - 6. Is w less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, 1 w, and 1 b when four letters picked without replacement from {w: 2, q: 1, b: 1, t: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13824 divided by 6?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*b - 5*b = -2591, 1577 = 3*p - 5*b. Let s = 798 - p. List the prime factors of s.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*s = 36, 17 + 19 = 3*x + 3*s. Solve 0 = 4*y + 8*y - x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 545376 - -3?\nAnswer: 545401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffwww. What is prob of sequence wwf?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54650249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 256 + -246. Calculate the remainder when 106 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14378 is divided by 2091.\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/4 - 31\/28. Which is the closest to -1? (a) 2\/27 (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 530.6745 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2441 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-137)\/411*(6\/(-4))\/1. Which is the biggest value? (a) -4 (b) d (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00161642 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.707357ns in minutes?\nAnswer: 0.00000000012845595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 29 - 79 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 4. Let x be k(-10). What is the first derivative of -x*i - 2*i + 5 + 7*i wrt i?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -956?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -201 + 321. Suppose 4*r = -0*r + v. Let h = r + 49. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/(-60)*-1)\/(238\/(-42)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40\/7 in -154\/3, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1073.\nAnswer: -2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 3 = -18*y. Suppose -24 = -z - 0*z. Suppose 0 = 16*p - 8*p - z. Solve o - 16 = -4*t, -3*t - y*o - p*o = -29 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4187.\nAnswer: 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) -9\/2 (b) -0.27 (c) -67 (d) -2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-18 + 28 + (7 - 10) - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g - 35. Let q be h(-5). Solve 2*i - 5*i + j - 7 = 0, q*j - 3 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 42 + 7 = -4*l, 4*j - 2*l + 4 = 0. Sort -4, 107, -3, j in descending order.\nAnswer: 107, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 p, and 1 v when four letters picked without replacement from vvvvvpvpavav.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -15 + -14 + 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/48*-4*(-2)\/(-3). Is 0 + 253 - (1 + c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 37, 5, -81, -239, -487, -843?\n\"Answer: -3*n**3 + 25*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5345 + -5107. Sort -5, f, 4 in ascending order.\nAnswer: -5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*v - 8*v. Let w be (-18)\/v*(-4)\/6. Solve -2*q = 0, w = 3*a + 5*q + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 17*b - 21. Give d(12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22258 + -499.\nAnswer: -22757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110122 - 21?\nAnswer: -2110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 1:51 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 157887?\nAnswer: 70\/157887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let g(u) be the second derivative of 4*u + 0 - 3*u**r + 1\/6*u**4 - 2\/3*u**3. Suppose g(f) = 0. Calculate f.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 72*m**2 - 445*m + 61. Calculate k(65).\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n + 15*n - 38*n + 2)*(-2*n**2 + 5*n**3 + 2*n**2).\nAnswer: -40*n**4 + 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 - 4) + 0 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - 352\/(-33). Solve -8*i = -6*i + d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - -4*sqrt(130))*4)\/(sqrt(250)*2) + 4)**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a\/a**(-2\/5)*a)\/a)**(1\/5))**(5\/7)\/((a**3*a)\/a**(3\/4))**(-21) assuming a is positive.\nAnswer: a**(9623\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = q + 3*q + 11, 0 = 5*q + 3*l + 35. Sort 0.5, 1\/3, q.\nAnswer: q, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 16, t: 4}. Give prob of sequence ztz.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 + 26017911*u - 26017911*u.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*r - 205*r + 1252*r**2 + 101*r - 1248*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-78) - 481744\/(-312)?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 8341 + 8341.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.3, -3, -1309, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3990\/(-3591))\/((-10)\/12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17869\/80064 - 14\/1251. Calculate the common denominator of -103\/12 and z.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 12 = t, -11*t = -0*x - x - x - 12*t - 19 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -r - 2*v, 0*v = -5*v - 20. Let s be ((-4)\/(-9))\/((-8)\/r). Solve -s*w = -0*w, -2*h + 2*w + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 17*d - 25*d. Is d greater than or equal to 1\/9373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101000111101 + 11000111?\nAnswer: -10111100101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 282 - 273. Solve 0 = -32*b + 29*b + w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.91 - 13. Let b = t + 5.09. Which is bigger: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = h, 3*h + 44 = -4*g - 58. Let y be 1\/(-3) - h\/198. Put 0.1, y, 2 in descending order.\nAnswer: 2, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2117 - 25826 = -1485*v + 16277 + 43174 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-142)\/(-16) + 2\/16. Calculate the highest common factor of r and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208) + -2 + 1.\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 25958*f**2\/5 + 17394842*f\/5 - 568593050.\nAnswer: -2*(f - 323)**2*(f + 13625)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - v**2 - v - 2. Let q be k(0). Let w be ((-3)\/q)\/(24\/32). Solve -2*r - 3*r = -z + 5, 0 = -w*r + 5*z - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/81821?\nAnswer: -12\/81821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18\/(-1 + 10\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 4)*((3 - 2 + 0)*(0*c**3 + 2*c**3 - 4*c**3) + c**3 + 2*c - 2*c + 0*c**3 + 3*c**3 + 5*c**3 + c**3 + 3 - 3) + 3*c**3 + c**3 - 3*c**3.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 205107934.\nAnswer: 2256187274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 581.228.\nAnswer: 579.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 - 2 - (1119 + -1088)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6537, 13332, 20391, 27714, 35301?\nAnswer: 43152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 - 4*a - 4. Let k be x(-5). Let q = k + 9. Put -2, q, 1 in descending order.\nAnswer: 1, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -17*h**3\/6 - 3*h**2\/2 - 362*h. What is t(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8473 = -5*s + 4*n, 3*n + 5576 = 4*s - 1202. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -483*u + 168*u - 1260 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25638354, -25638360, -25638372, -25638390, -25638414, -25638444?\n\"Answer: -3*x**2 + 3*x - 25638354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 6*p - 5. Let h(x) = x + 1. Let s be (-2)\/6 + 28\/(-6). Let i be 4 - 1 - (3 + s). Suppose -i = -3*u + 8*u. Calculate u*z(a) - 5*h(a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2954, 2704, 2452, 2204, 1966, 1744, 1544, 1372?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29214.603 + -542805?\nAnswer: -513590.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 2:45 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 20 = 14*c. Is c <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 265 = -4*d - 259, 0 = -3*d - 4*x - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 23*f**2 - 2*f - 268*f**3 - f - 266*f**3 + 532*f**3 to the form i*f**3 + o*f + l*f**2 + q and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1346*v - 627. Let a(b) = 2725*b + 1256. Let d(k) = -4*a(k) - 7*h(k). Differentiate d(w) wrt w.\nAnswer: -1478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x + 54. Let d(o) = -5*o - 53. Let y(c) = 5*d(c) + 6*w(c). Is y(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:47 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13065\/260)\/67)\/((-1)\/56)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -394 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**4\/4 - 285*t**3\/4 - 1575*t**2\/2 + 625*t + 26250 = 0 for t.\nAnswer: -42, -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 14 = 2*k. Suppose -k*i - 25 = 3*i, -4*h = 4*i - 24. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5894507 to two dps.\nAnswer: -1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 1. Let c(x) = -x. Let p(m) = -9*c(m) + 2*o(m). Let a be p(1). Let u be -3 + 2 + 23\/19. Which is bigger: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l**2 + l. Let f be p(1). Calculate the greatest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4158, -7587, -11026, -14475, -17934, -21403, -24882?\nAnswer: -28371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 15. Let r be l(-18). Let a = -2 + r. Let b be 16\/2 - (7 + -3 - a). Solve -b*v = 5*c - 0*v + 5, 3*v + 19 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from ijijijiink.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -268*z + 6*z**2 + 23 + 183 + 270*z. Let j(r) = -32*r**2 - 9*r - 1029. Let h(c) = -2*j(c) - 11*u(c). What is the derivative of h(y) wrt y?\nAnswer: -4*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 6*r + 10. Let s be q(-7). Suppose s*x - x = 16. Suppose l - 18 = x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81385749 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-5)\/1) + 6. Solve -23 = -4*n - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14 + 19 + f**2 - 13*f - 2*f**2. Let b be y(-14). Let m be -12*(b\/(-12) + -1). Solve m = -2*r - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -356115598*c**5 - 22*c + 36293?\nAnswer: -7122311960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4979294*y**2 - 4699902*y**2 + 1261307*y**2 + 1660319*y**2.\nAnswer: -6757570*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -6 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2941*k + 864*k - 1593*k - 50*k.\nAnswer: -3720*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498713.\nAnswer: 29, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 854370830 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 46 = -l - 7*u, 5*l = -2*u - 299. Let d = 365 + l. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + a - 8682*a**3 + 121*a**2 + 4363*a**3 + 4323*a**3 to z + y*a**3 + j*a**2 + o*a and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1005 divided by -5?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443129 is divided by 4941.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.068 + -0.135. Let c = 0.933 - s. What is the nearest to c in -0.3, 9, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 21. Let d be -1 + 93 + (-2 - -1). Let q = d - 458\/5. Put i, q, -0.4 in decreasing order.\nAnswer: -0.4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1154106, -1154179, -1154308, -1154499, -1154758?\n\"Answer: -b**3 - 22*b**2 - 1154083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 49 - 48 - 82*s + 153.\nAnswer: -82*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/106 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 136, 457, 1082, 2113, 3652, 5801, 8662?\nAnswer: 12337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -2cdc86?\nAnswer: 2cdc86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*r - 103, 0*i = -2*i - 3*r + 67. What is the highest common divisor of i and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 190.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -18. Let h = r + 22.02. Let y = h + -1.02. What is the second biggest value in y, 4\/3, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244004 by -96.\nAnswer: 61001\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/19 (b) -43\/3 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjwh when four letters picked without replacement from wjpnhnjpnnnhw?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let n(g) = 1193774*g - 7. What is h(n(m))?\nAnswer: 1193774*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 215*u + 55. Let m(o) = -8*o - 2. Let h be ((-10)\/(-4))\/(99\/(-44) + 1). Give h*l(i) - 55*m(i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 135174.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -18. Suppose m = j + c, -2*m + 12 = 4*j + 2. Suppose j = -5*f - 3*g + 194997, -3*f = 2*g - 7*g - 117005. Round f to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1861930288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/652 and -97\/20?\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 158*s**3 - 6161*s**2 - 38*s + 77. What is y(39)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - -1.3. Let i = -7 + 6.96. Sort i, -3\/4, k in descending order.\nAnswer: i, -3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/4))**(10\/3)\/(h\/(h**(3\/5)*h))**45 assuming h is positive.\nAnswer: h**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -169*f**5\/12 + 302*f**4\/3 - 12*f**2 - 54*f. Find the second derivative of a(y) wrt y.\nAnswer: -1690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**3 + 1 + 462601*a**2 - 2*a**3 - 462603*a**2 in the form f*a**2 + v + r*a**3 + c*a and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-18 - -17) + 1 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/9 + 2830*f**4\/9 - 20152*f**3\/3 - 22976*f**2 = 0.\nAnswer: -1436, -3, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13734 (base 12) in base 5?\nAnswer: 1330333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38944.\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/(q*q\/(q\/q**5)*q))**(-16) assuming q is positive.\nAnswer: q**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27571.911 months?\nAnswer: 229.765925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.83 + -39.83. Let t = b + -7. Let g = t + 46.000023. Round g to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -15*s. Let o be (s + -1)\/((-37)\/111). Solve 0 = -o*n + 5*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2217, 2311, 2461, 2661, 2905, 3187?\n\"Answer: -c**3 + 34*c**2 - c + 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348558 (base 11) to base 16.\nAnswer: 87049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 1:26 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.72 + -0.818. Let g = f - -0.0980059. Round g to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 329467516, 329467523, 329467532, 329467543, 329467556, 329467571?\n\"Answer: b**2 + 4*b + 329467511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9020 and 114860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-2 - -2)\/(-6))\/(-2) + 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 42. Put g, -1, -27 in ascending order.\nAnswer: -27, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2320 + -3034212?\nAnswer: -3042032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/3 (b) -3\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7975\/(-990) + 15 + -7)\/((-4)\/18)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -3898?\nAnswer: 3898.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (103 + -135 - (3 + 0))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72976689 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 27 = 2*d - 3*u, -5*d = -4*u - 100. Calculate the remainder when 78 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-242) - 2\/(-22). Let i(u) = -3*u - 1. Let a be i(-5). Suppose x - 141 + a = f. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**7\/5040 - u**6\/360 - u**5\/60 + 7*u**4\/8 + 19*u**2 - 2. Let g(h) be the second derivative of p(h). Factor g(s).\nAnswer: -(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -500*w**4 - 4*w**3 - 17063*w**2 wrt w.\nAnswer: -12000*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -23, -33, -43?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u - u - 6*u + 51 - 51 + 11*u + (-2 + 2 + u)*(-8 - 6 - 1) in the form x*u + y and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**2 - 4*m. Suppose 104 = -c + 103. Let u(v) = -v + v**2 + 5*v - 5*v. Let a(x) = c*g(x) + 6*u(x). Find the second derivative of a(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 14*y + 7. Let c(l) = 2*l**2 + 12*l - 5. Let a(x) = -5*c(x) - 4*h(x). Let z = -52 + 48. What is a(z)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73429397 and 4856.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 208099091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2. Let f(b) = 787 + b**2 - 787. Give o(f(v)).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/60 - 8*m**5\/15 + 35*m**4\/12 + 52*m**3\/3 + 213*m**2. What is f in q(f) = 0?\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 329.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Suppose 0 = -0*u - 2*u - 10. Let d = -41 + 43. Put d, u, i in decreasing order.\nAnswer: i, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*k - 30, -u = -4*k - k - 3. Let l be 27\/u*(-4)\/(-3). Find w, given that -1\/4*w**l + 0 + 1\/2*w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:59 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 1104 = -6*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.8 - -1692.304\nAnswer: 1685.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14545 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 938 + -113. What are the prime factors of w?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 10) in base 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8 (base 14) to base 4.\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27170 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 397192224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 1439060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26.11 and 73.\nAnswer: 46.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 30404148?\nAnswer: 30404148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-35))\/(43\/((-301)\/2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuuvdaoa. Give prob of sequence adv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*1\/(-2)*18\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12412751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1068259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = -34*w - 19*w + 1684410. List the prime factors of w.\nAnswer: 3, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 53. Let z be y(13). Which is the closest to -37? (a) -3 (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 4, f: 1, a: 9}. Give prob of sequence wggg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 - 3*q + 2. Let j be k(4). Suppose -2*p = -p - j. Suppose -1 - 9*a**5 - 4*a**4 - p*a**2 + 1 + 10*a**4 + 9*a**3 = 0. What is a?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 9*a. Let q be t(-10). Suppose q*b + 72 = 13*b. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-12 - -3 - -11) + -21\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-39) - 133\/273. Which is the third smallest value? (a) -171 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 95379678720 + 3*y**3 - 95379678730.\nAnswer: 3*y**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 5, 98.\nAnswer: -5, 5, 8, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**5\/10 - t**2\/2 + t. Let x(y) be the first derivative of -y - 10 + 1\/2*y**2 + 1\/4*y**4 + 0*y**3. Give b(j) + x(j).\nAnswer: -j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 3*o**2 + 5*o + 7. Let p be q(-3). Let t = 98 - p. Suppose 2*l = 3*s + 27, -s - 9 = -5*l + t. Solve 0 = 3*v + v + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, 2, -18 in descending order.\nAnswer: 2, -4, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 14. Let n be j(16). Let x(o) = o**3 - 65*o**2 + 1 - 63*o**n + o + 132*o**2. Calculate x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295666921 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2056*k**5 + 180*k**2 + 193*k**2 + 2050*k**5 + 6*k**3 wrt k?\nAnswer: -360*k**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 3, -6\/31?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b**2 - b - 1. Let f be q(-1). Suppose -8 = -3*i + 1. Let s be 563998\/6 - i\/f. What is s rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2731*j**2 - 6*j + j + 5*j + 1848*j**2 to y + h*j**2 + z*j and give h.\nAnswer: 4579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 1955, 4788, 8753, 13850?\nAnswer: 20079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3928688 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = -4*v. Which is the third biggest value? (a) v (b) -5 (c) 2\/15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79695 and 252.\nAnswer: 318780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-630)*(-1)\/(2\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12212230 (base 4) to base 8.\nAnswer: -64654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 + k - k**2 - k**2 - 6*k**2 to the form x + z*k + n*k**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 71.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 10) in base 6?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11)**(-4\/11) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.643 + 1.043. What is the nearest to -3 in 14, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*u - 5271 - 3444 = 7049 + 7146 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -591556787149.88 take away 0.1?\nAnswer: -591556787149.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 103 = -350. Solve -2*q - k*w - 3 = -14*w, -5*q - 2*w - 21 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 - ((-13 - -141) + -4)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -17.8. Sort 2\/3, -8, -0.1, l.\nAnswer: -8, -0.1, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*v + v - 15, 4*v = -3*c + 73. Suppose v*d - 16*d = 9. Is 12 a factor of -3 + (d - 8*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 26*b**2 + 2*b - 59. Let u be w(-27). Let j = u + -483. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24649*k*n**2 - k*n - 20476*k wrt n?\nAnswer: 49298*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from {z: 4, f: 8, t: 8}.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13820 - -2?\nAnswer: -13817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 6*b**2 - 5*b - 14. Let d be w(7). What is the units digit of (d + 1)*(57 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 + 170. Which is smaller: 3\/47 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342723904 divided by -218?\nAnswer: -1572128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-4)\/(-328)). Let o = 60 + m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21001012202012 - -121?\nAnswer: -21001012201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -27 in ascending order.\nAnswer: -27, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632253213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 24*y - 31 to v*y + i and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*x - 11 - 13 = 0, 0 = -5*c + 2*x - 36. What is the tens digit of 28*(-3)\/c - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i**2 + 11*i**2 + 25*i**2. Let z(b) = -2*b**2. What is z(y(j))?\nAnswer: -1058*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59427 or 59442?\nAnswer: 59442","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3\/2, 2\/9, 2\/17, -25\/8.\nAnswer: -5, -25\/8, 2\/17, 2\/9, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4933 = 10*y - 14*y, 0 = -2*a + 14. Calculate the greatest common factor of y and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 95 - 99 = 0. Solve -l + 4 = -p - 5*u, -u + 3 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19 - (-20 - 71234) - -27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4585 = -11*z + 18*z. Let t = 659 - z. Which is the third smallest value? (a) -0.04 (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44339601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = -3*d, 2*g - 5*d + 4 = -d. Let z(p) = 1 + 0 - g + 2*p. Is z(11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l - 4. Let p be z(-7). Suppose 0 = 4*u + 16, 3*u - u - p = -r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 67\/3. Let r be 3*((-1)\/3 + -1). Which is the third biggest value? (a) -2\/9 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -11 - 7. Let n = m + -5. Let a be (-2)\/(-3)*(-1 + n). Solve 0 = -5*k + a*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*x + 60, -4*i + 55 + 185 = -3*x. Suppose -148 = 2*n - i. Let h = -27 - n. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*u + 22. Let a = 22 - u. Solve 3*h + 2*m = 4*m - 20, -a = -3*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17642461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -109\/313490?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**3 - 13*f**3 - 5*f**3 + 9*f**3.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2365.2 - 2365.336. What is the second smallest value in n, -0.2, 20?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*t + 4*a, 5*t = 5*a + 3 + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*2*sqrt(180).\nAnswer: 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let w be (d - 5)*2\/(-4). What is the highest common divisor of w and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -7. Suppose -z = -3*j - j. Suppose 5*d = -3*u + 17, j*d + 4 = 3*d. What is the third smallest value in -2\/11, u, -6\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*w**2 - 42*w**2 - 6*w**4 + 10*w**2 - 23 + 32 as u*w + x + j*w**3 + l*w**2 + k*w**4 and give l.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 3 (c) 9 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725300 take away 0.04?\nAnswer: 3725299.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5244 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 5*h**8\/28 - 11*h**5\/20 - 72*h**4 - 18*h + 27. Find the third derivative of o(a) wrt a.\nAnswer: 1200*a**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.5 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1561\/(-14))\/(4\/8). Let h = q - -225. Solve h*u + 1 = k + u, -7 = k + 3*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51563481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -553 - -556. Find the second derivative of -15*k**2 - 680 - 182*k**3 + 15*k**2 + 627 - w*k wrt k.\nAnswer: -1092*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -213 (b) 1\/2 (c) 8\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.712764 weeks in minutes?\nAnswer: 17264.66112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f - 61. Let k be q(-12). Put -2\/17, k, 2\/5, -1\/8 in ascending order.\nAnswer: k, -1\/8, -2\/17, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93195?\nAnswer: 3, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5 + 11833*r**4 - 43596741*r**3 + 36360229459*r**2 + 50795630230730*r + 101445470580336 = 0.\nAnswer: -696, -2, 4177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 19*x = -41*x - 180 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(684) + sqrt(684) + sqrt(684) + sqrt(684) + 0 + sqrt(684) + -1 + sqrt(684) + sqrt(684) - (-5 + 0 + sqrt(684) + 5))**2.\nAnswer: 144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-106)\/(-105) + -1). Let d = -419\/4 - v. Determine h so that 0 + 1\/8*h**3 + 1\/8*h + d*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.19\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114224 + -112?\nAnswer: -114340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -5\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1830 divided by -6\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10218?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -23823.\nAnswer: 5\/23823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b\/b**(-1\/12)))\/(b**(7\/2)\/b))\/(b**26*b**13))**(-5\/19) assuming b is positive.\nAnswer: b**(2435\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2\/(-8))\/((-24)\/96) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -172 and -182 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or 336586\/5035?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-5 - (-5 + 6)) + 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4090480, -4090482, -4090484?\nAnswer: -4090486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9774 or 9756?\nAnswer: 9774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = 12, 4*u - 864 = -4*b. What are the prime factors of b?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 606 (c) 5 (d) -0.2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 19. Let z = -3\/2327 + -6939\/32578. What is the biggest value in 5, a, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 29*c - 780. Calculate b(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 668123029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154638371*s**2*t**2*z - 35*s**2*t + 79*s**2*z - 3*s**2 + 115*s*t wrt t?\nAnswer: 309276742*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k + 3*k - 4*k**2 - 2*k**2 + k**3 + 3. What is the units digit of m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13965 is divided by 2325?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.5 + -18. Let w = o - 0.5. Let q = 980 - 982. What is the closest to 0.3 in w, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.1+-11.24889780288\nAnswer: -20.34889780288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40612 + 66756. List the prime factors of z.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 34.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.773 + 61527?\nAnswer: 61523.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, 5\/4, 193?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*g + 4*y - 14 = 0, -4*g + y - 8 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/3505446 and 13\/52581690?\nAnswer: 52581690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:03 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 24*o + 22. Let d be f(7). Is -5\/49 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1360 - 726. What are the prime factors of r?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/53 in -5, 0.2, -6\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(308)\/(sqrt(7) + sqrt(28)\/sqrt(4))*-1.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20361920 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let k be (-288)\/(-60) - a\/(-5). Let d be ((-24)\/(-10) + -3)*k. Sort -1, 8, d.\nAnswer: d, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -24*n + 11. Suppose 76 = 8*b - 12*b. Is r(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119318 - -117821.54. Round m to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -162*k**2 - 4*k + 8. Suppose -4*p = -5*w + 4, 2*p + 4*w + 30 = 2. Let q be t(p). Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2451 and 551.\nAnswer: 71079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 243*x + 27334. Determine v(-72).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 5. Suppose -23 = 4*p + 6*m - 3*m, -2*p = 2*m + 14. Let h(y) = -y**2 - 2. Give p*o(f) - 5*h(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {s: 2, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 24*q**2 + 25*q - 41. Let x be r(23). Which is the closest to 0.074? (a) -5 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 713?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -3524?\nAnswer: -3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -155, -296, -437, -578, -719?\n\"Answer: -141*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1672 less than -1675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -x - 3*g, -2*x = 2*x - 3*g - 20. Let s(p) = p**2 - p. Let m be s(x). Solve -m*d - 3*o - 4 + 20 = 0, -4*d = -4*o - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 8. Let y be ((-6)\/k)\/(1\/(-20)). What is the units digit of 1\/(-3)*(-5 + y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/130 and 173\/4950.\nAnswer: 64350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 993*l**3\/5 - 673284*l**2\/5 + 114136893*l\/5 - 689526 = 0. Calculate l.\nAnswer: 10\/331, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5*(-5)\/1. Suppose 5*d + 7*w - a*w = -20, -3*w - 18 = -3*d. Let i(t) = t + 5*t - 3*t - d - 2*t**2 - 1. Calculate i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18*n. Let u(y) = 30*y**2. Calculate u(o(r)).\nAnswer: 9720*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**6\/72 - 7*g**5\/120 + 15*g**4\/8 - 41*g**3\/6 - 14*g. Let w(v) be the second derivative of t(v). Is w(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150 and -18.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*r - 2*r + 696 = 0, 4*r = -2*s + 464. What are the prime factors of s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 3:25 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Let i(o) = -1188*o + 56. What is f(i(r))?\nAnswer: 1188*r - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-36))\/((-2)\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-5*k**3 + 6*k**2 - 6*k**2) + 2*k**2 - 9*k**3 - 2*k**2 + (6*k - 2*k - 3*k)*(-2*k**2 + 3*k**2 - 2*k**2).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15423364519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 1, v: 1, h: 1, z: 1}. Give prob of sequence uuuz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 261465324 + 12?\nAnswer: 261465336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 1. Suppose 3*v - l + 7 = 0, 0 = -2*v - l - 2 + 4. Calculate o(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(3024)*-5)\/((sqrt(48)\/sqrt(2)*6 - sqrt(24))\/(sqrt(8) - 2*sqrt(1152))).\nAnswer: -1104*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 0, 99, -1\/2, 4, 0.4, -0.4 in descending order.\nAnswer: 99, 36, 4, 0.4, 0, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.003288706 rounded to 6 dps?\nAnswer: 0.003289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 2*d**2 - 10*d**2 + 3*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p - 4. Let i = 1 - p. Suppose 0*s - 4*s = -12. Solve i*x - 3 = -3*x - s*j, -j + 2 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-148)\/(-36) + -7 + 3. Let f(y) be the third derivative of 0*y + 0 + 1\/90*y**5 + b*y**3 + y**2 - 1\/18*y**4. Factor f(q).\nAnswer: 2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -253, -278, -323, -394, -497, -638?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.51 - -0.51. Let k = p - -35. Is k != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0391696102 rounded to six dps?\nAnswer: -0.03917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16405889.\nAnswer: 61, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9*g = -476. Suppose 2*t - s - 68 = -2*t, 0 = -3*t + 5*s + g. Let r(v) = -t*v**3 - 7*v + 8*v - 5 + 6*v**2 + 15*v**3. Calculate r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 295 + 599. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by -167986\nAnswer: 97\/167986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2680, 4, 524 in increasing order.\nAnswer: 4, 524, 2680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 3:01 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 25.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3143 = -10*a + 3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 + (-24)\/(-5). Suppose 5*c + a - 2*a - 5 = 0, 2*a = 0. Sort g, 3, c in decreasing order.\nAnswer: g, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2011 - -3644. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69440)\/(-2464) - (27 + 1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 206 = -154. Calculate the highest common divisor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 < 456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 2*k**5 + 4*k**5 + (-k + k - 2*k)*(-k**4 + 2*k**4 + 2*k**4 - 1 + 1 + k**4 + (k**4 + 0*k**3 + 0*k**3)*(1 + 3 - 2) + 6*k**4 - 2*k**4 - 2*k**4).\nAnswer: -13*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/12 + -3\/4. Calculate the common denominator of c and -51\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -10, -33, -66, -109, -162?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.5. Let w = -1 + z. Let u = w - -1.5. Is u <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 313748.954 to the nearest ten.\nAnswer: 313750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 599564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4071 (b) -0.144 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -469 - 53 - 691*d**4 - 467*d**4 + 392*d**4 wrt d.\nAnswer: -3064*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12005\/24 + 3077\/6. Let s = 2\/44585 + -882791\/178340. Calculate the common denominator of z and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 4, n: 1}. What is prob of sequence ng?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 979437 to the power of 1\/2, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = -55*y - 672. Suppose 162 = -3*v + 2*h + 508, 2*v + 2*h - 224 = 0. Let t = y + v. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*y + 14. Suppose -4*l - 30 = -y*l - r, -r = 2*l - 12. Calculate the lowest common multiple of l and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**4 - 2*q**3 + 531 - 951*q**2 + 1361*q**2 + 634 wrt q.\nAnswer: -8*q**3 - 6*q**2 + 820*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = 4*v. Calculate the lowest common multiple of 2 and (3 - 0) + (v - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-690)\/(-46)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 43, 43, 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 1\/2*h**2 + 1\/12*h**3 - 5*h - 1\/8*h**4 - 1\/40*h**5 + 1\/60*h**6 + 0. What is b in v(b) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k + 64 - 34 = 30. Sort -2, k, 34, -3, 1 in descending order.\nAnswer: 34, 1, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961792238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33595400.\nAnswer: 2, 5, 17, 41, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 1:45 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z - 140. Suppose z = -7*j + 12*j. Suppose 0 = -6*y + j*y - 76. Round y to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j**(7\/5))**23 assuming j is positive.\nAnswer: j**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 + 5.89. Let b = -65 + i. Let p = 59.00000049 + b. What is p rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 15448 - p - 508*p**2 + 15448.\nAnswer: -508*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x + 7*x + 2*x**2 + 7*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 203*n**2 - 9*n + 15. Is i(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -67\/8, -12, 25, -3\/4, 2.\nAnswer: -12, -67\/8, -3\/4, -0.2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 109*p**2 + 57*p + 138. Calculate the lowest common multiple of 110 and t(54).\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-3) + -7 + 1. Suppose 3*w + 2*w = 0. Solve d = -3*p - 2*p - 2*i, 4*p - i = w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/2)*g\/g**(-2))**(-8)*((g**(-1))**15)**8 assuming g is positive.\nAnswer: g**(-148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-390)\/91)\/30).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) 9 (c) -68\/13 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-5))\/(v*v**38\/v) assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = -2*f, -3*f - 19 = -4*a - 0*a. What is the highest common factor of 49 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/8 + 5063*i**2\/8 + 142131*i\/4 - 675810 = 0.\nAnswer: -5006, -72, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1, 10 in descending order.\nAnswer: 10, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*14\/105*5. Let z(f) = 6*f + 5. Determine z(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2178, 8703, 19560, 34737, 54222, 78003?\n\"Answer: -2*q**3 + 2178*q**2 + 5*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/((-27)\/84) + 1 + 2. Let f = 36 - u. Which is the second smallest value? (a) 9 (b) -1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4\/2 + 21*d**3 - 90*d**2 + 108*d.\nAnswer: -3*d*(d - 6)**2*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1167236, 1167236, 1167238, 1167242, 1167248, 1167256?\n\"Answer: a**2 - 3*a + 1167238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1082 - 3250 + 1082 - 2331*y + 1086 as i + s*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566909243 to the power of 1\/3, to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m)*(2 + 4 - 3).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/18 - (1\/1 + 1). Let i(k) be the third derivative of 0 + 0*k + 1\/3*k**3 - k**2 + 1\/90*k**5 + m*k**4. Factor i(n).\nAnswer: 2*(n + 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, 0.5, 0.0011, -31\/5, -2, -3, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 - 6*n - 2. Let b be 25 - 21 - (-2 - 0)\/2. Let x(z) = 2 - 9 + b*z - 11*z + 5 - 5*z**2. Let w(p) = 6*l(p) - 5*x(p). Give w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 4*y - 24, 0 = -3*y + 3*p + 15. Suppose 7*b - 609 = -0*b. Suppose 4 = -86*x + b*x. Solve r + x*o = 11, -5*r + 5*o + y = o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/1)\/(-2 + 1). Let s be (4 + -3)\/((-21)\/(-3) + -8). Let f = 0 - 5. Sort y, s, f.\nAnswer: f, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 54120\/429 + 4\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1300) + -1)**2 + 4*-6*(sqrt(1300) + 3).\nAnswer: -300*sqrt(13) + 3831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 564\nAnswer: -17484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(2 + (-12)\/9). Which is the second smallest value? (a) 0.3 (b) n (c) 987 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 6*a**2 + 5*a - 2. Let l = -308 - -316. What is the hundreds digit of p(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*q + 19240 = -70*q. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2061326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, r: 2, j: 7}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**4 + 37*i - 10679.\nAnswer: -4*i**3 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, 1, -3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*a - 4*y - 13, -3*a - 3*y + 9 = 0. Let l(w) = -w**2 + 3*w. Give l(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 64. Suppose -8*s - j = -26. Solve -4*r + 0 = 3*v - 1, s*r + 2*v = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9611.\nAnswer: 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*-2 + sqrt(5) + sqrt(20)*-3.\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*t - 5678465, h - 23*t = -26*t + 2839219. Let u = h + -15949228. Round u to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -29*z**3 + 172*z**2 - 57*z + 394. What is o(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -7 - (-8 - (-1 - -6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 4*y + 2*y)*(16 + 252 + 74 + 38) to the form x + d*y and give d.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3268*i + 4060*i + 2262*i + 3440*i + 4856*i - 2*i + 2*i - 2*i + (-3 - 2 + 6)*(-4*i + 0*i + 5*i) + 3*i - 3*i + i - 2 + i + 2 + 3*i - 2*i + i.\nAnswer: 11353*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 93*k**3 + 270*k**2 - 4*k - 360.\nAnswer: (k - 1)*(k + 2)**2*(k + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -162613?\nAnswer: -162606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x**2 + 48*x - 143. Determine o(3).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 + 5 = 0. Let i(a) = 2*a**2 - 3*a**d + 2*a**2 + a. Let p(k) be the first derivative of 2*k**3 + 3*k**2 + 504. Determine -5*i(l) + p(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 14*z**2 + 17*z + 36. Let x be v(-15). Suppose -4*g + 3*g - y = -8, 10 = 5*y. Solve 3*n + 2 = x*n + i, -n + 5*i = -g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78773198 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 27, 63, 113, 177, 255, 347?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l, -4*l = -4*w + 5476 - 1088. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u**(-7)*u*u*u**(-1\/5)*(u*u**8)\/u*u*u)**(-1) assuming u is positive.\nAnswer: u**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478975877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 470123619 and 14.\nAnswer: 940247238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5*(sqrt(5) + 2) - (2*sqrt(245) - sqrt(5))))**2.\nAnswer: -224*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0094 * 24.\nAnswer: -0.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**3 - 68 + 0*c**2 - 1\/20*c**5 + 1\/8*c**4 + 0*c. Suppose t(s) = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 295, 453, 611, 769?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 43*k**3\/3 + 552*k. Let t(i) = -11*i. Calculate t(b(u)).\nAnswer: -946*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1301 + 2697\/2. Calculate the common denominator of d and 55\/628.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*j**2 + 3 - 8*j**3 - 3 + 43*j**2 wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 77620.5 and -2.652.\nAnswer: 77617.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + ((-3)\/5 - -1). Let u = 0.35 + -0.21. Let b = -0.06 - u. What is the second smallest value in -1\/3, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -6b?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2755\nAnswer: 2754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5684 + 18571. Suppose f = -a + w + 3449, -3*a + 3*f = -48990. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23028539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Suppose 2*h - 74 = 2*l, -3*l + 19 - 46 = -h. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3, -2*b - 4*j + 40 = -b. What is the remainder when 74 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246645513.\nAnswer: 3, 983, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95671762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4405 (base 10) to base 2\nAnswer: -1000100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 32. Let l = k - 6. What is the smallest common multiple of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/6*(-8675436)\/(-1232).\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 229 = 331. Calculate the remainder when 1*-3 + (3 - 3) + 65 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 1\/167 (c) -0.152572 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*n - 42. What is the remainder when 17 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 3 (b) 53.7 (c) -1709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u - 15. Let h be a(-6). Suppose -3*o = 3*c, 0 = 3*o + 3 + h. Solve 5*i = -p + 12, -c*i + 21 = -5*p - 2*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306178, -306171, -306164?\nAnswer: -306157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:58 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 63. Let s be r(-17). Suppose -16*v - s = 82. Let m(f) = -3*f - 10. Calculate m(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, 247, 1131, 2847, 5671, 9879?\nAnswer: 15747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*p - 20, -2*i = -5*i + 5*p - 11. Let f(o) = o**2 - 3*o + 4. Let c be f(i). Suppose 5*y = -4*b + 787 - 0, -4*y = c*b - 792. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13536, -107506, -362456, -858876, -1677256, -2898086, -4601856?\n\"Answer: -13415*w**3 - 65*w - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 691 + 1224 = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 35*x + 65. What is z(-33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1)\/(4\/4). Let x(v) = -v**2 + 5*v. Let l be x(4). Let g be (4\/(-40))\/(l\/(-10)). Is p < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101202210210 (base 3) to base 10.\nAnswer: 1806321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13428.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 35\/(-15) - 3\/(-9). Calculate the greatest common divisor of 52 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -688390*q. Let o(j) = 15*j. Give o(r(b)).\nAnswer: -10325850*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/26)\/g)**(-7\/3) assuming g is positive.\nAnswer: g**(175\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 686 - 673. Solve -12*m + d = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/6 - (-18)\/270*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (0\/(-3))\/(-2). Solve 3*f + f - 12 = o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**4\/12 + 5*f**3\/2 + 9*f**2 + 124*f + 1. Let l be 52\/(12\/3) + 3. Calculate t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 285028098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**4 + c - c + (-2*c**2 + 3*c**2 - 5*c**2)*(1 + 2*c**2 - 1) as s*c**4 + n*c**3 + k*c**2 + l + t*c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 183230 (base 9) to base 14\nAnswer: 2d729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + -92. Let d be (-4)\/(k\/(-6))*2. Which is greater: 5 or d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*20\/(0 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37013050, 37013046, 37013040, 37013032, 37013022?\nAnswer: 37013010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - -1)*3\/4. Suppose 0 = -2*i - z*i. Suppose -o - 3 + 8 = i. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400030555 (base 6) to base 15.\nAnswer: 8cbd12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 17*j**2 - 52*j**2 + 17*j**2 + j**4 - j + 17*j**2. Let q(o) = 13*o**4 + 18*o**3 - 3*o**2 - 17*o. Let f(d) = 2*q(d) - 18*y(d). Factor f(p).\nAnswer: 4*p*(p + 1)*(p + 4)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 356600 and 40968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.601 + -0.139. Let s = -0.26 + f. Let u = -182 - -182.2. Sort 1\/2, 1\/3, s, u in descending order.\nAnswer: 1\/2, 1\/3, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.07, 68, 0, -2256.\nAnswer: -2256, -0.07, 0, 1\/3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(sqrt(1200) - (sqrt(1200)*2*1)**2).\nAnswer: -60*sqrt(3) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6834257467427543\/6130 - -1114887028073. Let q = 6370\/613 + j. Let d = 2405 - q. Calculate the common denominator of d and 39\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-52)\/(-9) - (-75)\/(-216)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i + 12 = 32*i. Let q(r) = -2*r**2 + 7*r - 1. Let n be q(i). Differentiate 13*b**2 - 6*b**n + 13*b**2 + 0*b**2 + 13 wrt b.\nAnswer: 40*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tittaittaitt. What is prob of picking 2 t, 1 a, and 1 i?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3922340 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 times 2?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(325) + 1))**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4999698 and 198.\nAnswer: 4999698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 3 - 5002*r + 25998*r + 9 as u*r + f and give u.\nAnswer: 20996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16549982 and -4?\nAnswer: 16549986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/(-1855)*(-7)\/10*6\/((-84)\/(-70)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -9. Let n = d - 3. Solve 4*s + 13 + n = 3*q, -5*q = -4*s - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyzqbzzbzbybbz. Give prob of sequence byy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 + 429*u**3 - 9*u**2 - 1281*u + 858.\nAnswer: 3*(u - 1)**2*(u + 2)*(u + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -23, 6, 0.04, 1\/4, -1\/2, 328?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 513.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + 6)\/((((-44)\/(-16))\/(-11))\/1). Sort s, -3, 2, 6\/5.\nAnswer: s, -3, 6\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14*(-84)\/(-168)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 6*j - 5. Let z be x(-7). Let t(i) = -9*i - 1. What is t(z)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311100 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14276*x + 185614. What is p(-13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1972748, -7890970, -17754670, -31563848, -49318504, -71018638?\nAnswer: -96664250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -25 + -29 + 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*w**3 + 543*w**3 + 291*w**3 - 26 + 23.\nAnswer: 741*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k + 43258 = -3425. What are the prime factors of k?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23560 and 4869480?\nAnswer: 92520120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/21 (b) -1 (c) 3 (d) -6\/5 (e) 0 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*z - z**2 + 40*z + 72*z - 37*z - 26*z as t + v*z**2 + h*z and give h.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/63 and 76\/294948819?\nAnswer: 2064641733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Suppose -81 = -3*y - 5*n, 49 = 4*y - v*n - 33. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1108*k**3 + 3*k**2 + 4*k + 1. Is h(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2. Let l(x) = -4*x**2 + 2*x - 1. Let i(f) = 35938*f**2 - 19026*f + 9513. Let a(m) = i(m) + 9513*l(m). Determine r(a(t)).\nAnswer: -4468996*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*l**5*t + 491*l**4*t**2 - l*t**2 + 12*l*t - 4*t**2 + 47*t wrt l?\nAnswer: 1060*l**3*t + 5892*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42958.\nAnswer: 2, 47, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5)*-9 - -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314374.\nAnswer: 2, 657187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 314*h*q**3 + 6*h*q**2*v - 252*q**3*v + q**2*v + 3*q*v - 2*v wrt h.\nAnswer: 314*q**3 + 6*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 22*h + 49. Let l be m(-19). Let r = l - -256. Solve n - 4 - r = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347895173.\nAnswer: 4157, 83689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 2*j + j)*(2*j**3 - 135*j**2 + 66*j**2 + 70*j**2).\nAnswer: 18*j**4 + 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*r - 16 = -0*r, -4*r + 52 = 2*n. Let a be (-28)\/126 + 173\/n. Let b = a + -13\/3. What is the third biggest value in 1\/2, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -608855*y**2 - 1736497*y wrt y?\nAnswer: -1217710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242034?\nAnswer: 2, 3, 13, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20264 divided by -596?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117 - 1073424?\nAnswer: -1073542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/4998 and -43\/12873?\nAnswer: 3063774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(192) + 1 + 0)**2 + ((sqrt(3) + (sqrt(27)*6 - sqrt(3)) - sqrt(3))**2 - (sqrt(48) + -1)**2)).\nAnswer: -2022 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 2, v: 3, i: 1, k: 3, j: 3}. Give prob of sequence it.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddldd. What is prob of sequence ld?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 65*l**2 - 153*l - 1746. Give k(-63).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, y: 1, l: 3}. Give prob of picking 1 l, 1 y, and 1 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {d: 3, k: 9, f: 4, z: 2, g: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*134\/1809?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 8, -2, -1, 8\/21, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 16242360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 54*y - 130*y = 68*y - 720. What is the third smallest value in y, p, 3, 0.16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i + 3159. Let m(u) = 7*u + 3185. Determine -5*m(y) + 4*n(y).\nAnswer: y - 3289","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40325 (base 9) to base 6\nAnswer: 322422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81316*o**2 - 81308*o**2 + 5 - 4 - 1.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 - -7.11. Let h be ((-5)\/2 - -2)*2. Let o be -6*6\/(-20) + h. Which is the closest to 0? (a) f (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305 - -335. Solve -3*c + 0*c = 4*g + 5, -5*c + g = -d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 g when four letters picked without replacement from {u: 4, r: 7, g: 7}.\nAnswer: 49\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 587370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17553685 and 15.\nAnswer: 17553700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/9*3\/2. Solve c - 3*d = -c - 25, w*d = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1099473?\nAnswer: 1099473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1098000 to the nearest 10000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n = -17*n - 180 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 375041*r**2 + r + 323561?\nAnswer: 750082*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 2*u - 6. Is 13 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*a + 2 = 0, -k = -17*a + 6*a - 29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b - 15. Suppose 10*n = -16 - 14. Let x be s(n). Sort x, 2, 1, -4.\nAnswer: -4, x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799158*d = 799112*d + 1012 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2800) + 0.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337728310.\nAnswer: 2, 5, 33772831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 + 302 = 2*p + 4*s, -2*p + 3*s = -432. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 805 and 29470.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*v, 112*w = 113*w - 3*v - 42. Calculate the least common multiple of 315 and w.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -1233*r**8\/14 - 1121*r**4\/4 + 413*r + 7. What is the third derivative of b(f) wrt f?\nAnswer: -591840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b, 4*b + 328 = -4*c - 1488. Calculate the remainder when ((-124)\/(-6))\/((-1)\/(-3)) is divided by c\/(-21) + 4\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/11, -3403 in increasing order.\nAnswer: -3403, -2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/2 + 1871284*s - 11227713\/2 = 0 for s.\nAnswer: -3742571, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/9 + 303526*m**3\/9 - 1821332*m**2\/3 + 18213608*m\/9 - 16999472\/9 = 0.\nAnswer: -151781, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 285\/(-756) - 7\/(-28). Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 1\/3 (c) 37.7 (d) 0.2 (e) -0.5 (f) 1\/2 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + 5*sqrt(2057))*-1)**2.\nAnswer: -1100*sqrt(17) + 257145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0492 * -0.5.\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 372 - 282 = 22*w, -5*w + 17 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 254*b + 0 - b**2 - 1 - 2 to the form h*b + i*b**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 430 - 424. Calculate the remainder when 24 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-71)\/6)\/(4\/(-496))*15\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 543*d + 5728. Let t be w(-11). Let n(r) = -r**2 - 4*r + 8. Let s be n(-6). Put s, -10, t, 11 in increasing order.\nAnswer: -10, s, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2285*x - 56 = -2290*x + 4*p, 0 = 5*x - 6*p - 64 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -75*t**2 - 673*t - 701. Determine x(-8).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -746.7 - -746.2. What is the nearest to -4\/7 in -0.16, 1, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 21*f**5\/20 + 11*f**4\/8 - 6205*f**3\/6 + 2*f**2 + 244*f. Find the first derivative of z(d) wrt d.\nAnswer: 126*d + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 167?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + r + 31 = 0, -5*s + 36 = -s + 4*r. Let n = 6458\/17 + -380. What is the smallest value in n, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 14. Let g = d - -12. What is the greatest common factor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 2*k + 4*k**5 - 2*k**5 + (-6*k + 3*k + k)*(-3 + 3 - 2*k**4) + 1510*k**5 - 171*k**5 - 171*k**5.\nAnswer: 1174*k**5 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482610695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 20916*a + 354705.\nAnswer: 3*(a - 6955)*(a - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 195*j**3 + 3 + 2717587*j**2 - 2717603*j**2 - 4 as i*j**3 + q*j**2 + m + l*j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (95\/57)\/(-5)*-48\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28.515343 from -607.\nAnswer: -578.484657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(-2*t**4 - 4*t**4 + 4*t**4) + 84168*t**2 - 5887*t**4 - 84168*t**2.\nAnswer: -5883*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -220113301?\nAnswer: 220113311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/664750?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1110, 865, 454, -123, -866, -1775, -2850?\n\"Answer: -83*p**2 + 4*p + 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**5\/12 + 2*b**2. Let u(g) = -81*g**2 - 33. Let v(f) = 5*f**2 + 2. Let t(m) = 2*u(m) + 33*v(m). Give t(l(z)).\nAnswer: 75*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -36*v**3 + 6*v**2 + 6*v. Let g(c) = 7*c**3 - c**2 - c. Calculate 21*g(d) + 4*r(d).\nAnswer: 3*d**3 + 3*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + 10 + -16)*42. Do -6 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -32. Let n(i) be the second derivative of 0 + 5\/6*i**v + i**2 - 3*i - 1\/12*i**4. What is n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4)\/(-16)*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18650798*s**3 + 22*s - 597420 wrt s?\nAnswer: 111904788*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, -1952, 0.558?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.905\nAnswer: -0.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 8*r**3\/3 + r**2 - r - 1. List the prime factors of s(8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**8\/33600 + y**7\/6300 + y**6\/3600 - y**5\/300 + 25*y**4\/12 - 7*y. Let z(f) be the third derivative of c(f). Factor z(k).\nAnswer: -(k - 2)*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9673941.\nAnswer: 3, 3224647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -223*w. Let d be g(-1). Let o = d - 159. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43972483 is divided by 258.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*u + 8 = 0, 0*u - 13 = -v + 3*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Sort 16, 0, n.\nAnswer: 0, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2088 by 6.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -18. Suppose k*a = 8*a - 75. Let h be ((-2)\/a*-5)\/(-2)*-9. Solve h*l = -4*f + 9, 5*f + 0 - 10 = -5*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -7 (c) 57\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 28 + 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117069*g**2 - 2 - 4*g**3 + 4 - 58535*g**2 - 58534*g**2.\nAnswer: -4*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 5*s + 2. Let w be k(-5). Let g(y) be the first derivative of 0 + 4*y - y**w - 7*y - 6*y - 2. Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**4 + 8*b**3 - 2*b**2 - 2*b. Let p(y) = -y**3 - y**2 + y. Let q(n) = a(n) + 2*p(n). Factor q(t).\nAnswer: -2*t**2*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**4 - b**3 - 2*b**2 - 817*b + 694093?\nAnswer: -12*b**3 - 3*b**2 - 4*b - 817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5024, -1, 4, -3, 3.\nAnswer: -5024, -3, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*f = 14154, -12*t - 42435 = -9*t - 3*f. Is 35 a factor of t\/(-45) + 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010000101 + 10011110110?\nAnswer: 11011101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 19. Let n = -2835 + 2839. Let z be ((-6)\/n - -4)*f\/(-70). Which is the nearest to z? (a) 0.2 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 47. Suppose 2*w - 99 = -r. What is the remainder when w is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-259128)\/237534 - 2440\/22.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*u - 100*u + 327*u as j + a*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v**2 + 12. Let w be f(0). Calculate the highest common divisor of w and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {e: 1, p: 1, j: 1, y: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**9\/72 + j**5\/6 - 10*j**2. Find the third derivative of c(r) wrt r.\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34820, 32, -2\/5 in decreasing order.\nAnswer: 32, -2\/5, -34820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -19. Let p be 2\/(-4 - 44\/m). Let a(z) = z**2. Let n(x) = -5*x**2. Let f(l) = -4*a(l) - n(l). Let y(w) = -3*w**2 + w - 2. Determine p*f(i) + y(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 30 = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7 + 131 = 5*z, -z + 4*t = -20. What is the lowest common multiple of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, b: 8}. What is prob of picking 2 b and 1 n?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 59892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23848 - 166604\/7. Is z less than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17455675*g**2*i**2 + 1147251*g**2*i - 2*g**2 wrt i.\nAnswer: -34911350*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-27) - 200\/(-6)*4 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/151 + -10277\/453. What is the common denominator of r and 13\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.97. Let x = 0.37 - y. Let g be 1*(-60)\/132 + 1. What is the third biggest value in 6, -1, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14 + 3*a - 3*a + 0 + 22*a**2. Let m(r) = -21*r**2 + 14. Let i(v) = -2*g(v) - 3*m(v). What is the derivative of i(w) wrt w?\nAnswer: 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 7:52 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + (-9 - (-2 + -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 657?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*d + 39 = -3*d, -3*d - 27 = 3*y. Let h be (-2 + (-14)\/y)*(-60)\/(-2). Suppose -2*q = 3*r - 161, 3*q = q - h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 104*a*h**2*s - 2*a*h - a*s - 2*a - h**2*s - 48*s - 1 with respect to h.\nAnswer: 208*a*h*s - 2*a - 2*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7067939?\nAnswer: 7067939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 1197\/20 (b) 18 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -10*l + 6. Let m be g(2). Let d be 4\/m - (-4470)\/14. Suppose -3*p - 4*y + 120 = p, -5*y = 4*p - 121. Calculate the highest common factor of p and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 4 + 17*t**2 - 22*t**2 + 3 to the form q + r*t**2 + h*t and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - 100?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2. Let g(z) be the second derivative of z**5\/12 + z**3 - 12*z. Let n(u) be the second derivative of g(u). Determine h(n(w)).\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(b + 0 + 0 + (1 - 1 + 2)*(0*b - 4*b + 3*b) + 14 + 12*b - 14).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (2 - -10 - 6) + 3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138.4 + -138.3999331. Round v to six dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -56948.93878831?\nAnswer: 56943.93878831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.6122158 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5 - 0 - 7 - 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 26*z - 32 = 12*z. Let b(f) = -f**2 + f - 1. Let a(i) = 12*i**2 - 8*i + 6. Give z*b(v) + a(v).\nAnswer: 4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9629 + 0.0371. Which is the nearest to -1\/4? (a) 3\/4 (b) q (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 q when four letters picked without replacement from {q: 2, j: 6, f: 3, h: 4, r: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -930428 * -1.\nAnswer: 930428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/39950 and -33\/136?\nAnswer: 159800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -341, -507, -671, -833?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/14 - 104\/16 and 897\/270 - (-2)\/5?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 99399.51ns?\nAnswer: 99.39951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5))**(-34) assuming h is positive.\nAnswer: h**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (7 - 0))*(-88)\/(-40). Solve 3*f + 15 = p, -3*p + b = -3*f - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 36 - 8 - 8*c + 19 + 14 as w*c + n and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1299729\/46 - -28255. Let g = -7 + 11. Which is the biggest value? (a) g (b) -2\/13 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n - 14 + 166. Solve 4*a = -2*g + n, 2*g - 4*a - 2 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7207559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140637 a multiple of 732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 339\/4*m - 3\/4*m**3 + 171\/2*m**2 = 0. Calculate m.\nAnswer: 0, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**3 - 5. Suppose -4*a = -3*i - 21, 10*a - 7*a - 12 = i. Let l(f) = 4*f**3 + 3. Give a*w(t) + 5*l(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*m**2 - 4*m**2 - 2*m**2 + 10*m**2 - 5*m + 13 with respect to m.\nAnswer: 26*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 25*p - 30. Let u be a(1). Put -17, 0, -1, u, 3 in increasing order.\nAnswer: -17, u, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/2 + 101*w**2\/6 - 383*w\/6 - 481\/6 = 0. Calculate w.\nAnswer: -37, -1, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*n - 5, 4*n = -2*r - 2*r - 4. Suppose -21 = -t - d, -5*t + 4*d = -r*t - 105. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.33794478 to 1 dp.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:59 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2877.3 + 2762. Let f = l + 115.989. Round f to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 4, a: 2, c: 3}. What is prob of sequence aap?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -859 + 4646. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/(((u\/u**(-9))\/u)\/u))\/u)*u*u\/(u**11\/u))\/((u**(-24)*u)\/u**(1\/4)))**(-46) assuming u is positive.\nAnswer: u**(-2323\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 44. Let h = c - 4. What is the fourth biggest value in 0.5, h, -1\/9, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. Let h be 33\/15 - 4\/20. Suppose 4*r = h*r. Solve r = 4*l - 7*l - d + 5, i*l + 5 = d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s + 28. Let v = s + 5. Find the common denominator of ((-29)\/16 - v)*54 and 43\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x - 3*z, 7*x = 3*x + 4*z + 36. Suppose -x*d - d = -2*u + 26, 4*u - 30 = -d. Solve 0 = v - 5*v - u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338 divided by -3.\nAnswer: 338\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 2*o**2 - 2*o + 15. Determine t(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 748313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-9)*(-26)\/39*315\/40. Solve c*v = 43 - 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 32.6 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153216994?\nAnswer: 2, 7, 61, 179411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48420829?\nAnswer: 48420829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = 37*f, -3*f - 8463 = -3*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 3 + 0 - 109*n**2 - 5*n**3.\nAnswer: n**3 - 109*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 5*z + 207. Determine g(-17).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from {z: 1, d: 1, s: 2, n: 6, p: 1, t: 5}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1390 and -103\/1946.\nAnswer: 9730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 338\/7 + -48. Let j = 0.01 - -1.99. Which is the nearest to x? (a) j (b) -2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = -8. Let q(i) be the first derivative of 32*i**3\/3 - 2*i + 2. Let u be q(-2). What is the greatest common factor of n and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 201 and 360.761.\nAnswer: 72512.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/62460 and 67\/18324?\nAnswer: 31792140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212800838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4211 + -22389. Round w to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20242114 + -4?\nAnswer: -20242120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9931\/6 - -1656. What is the fourth smallest value in -0.3, 5, 15, z?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -49, 0.1, 5, 64?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(1 + sqrt(700)) + sqrt(700))*2 + 6*(sqrt(700) + 0)*6*-5.\nAnswer: -1880*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -198.2 (c) -1890 (d) 2\/11 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 6 - 3*q + 0*q + 4*q**2 in the form c*q**2 + t + l*q and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p + 13835. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 2*i + 4*i - 37 + 21.\nAnswer: 2*i - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 815959 and 816139 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) -12.794 (c) 2 (d) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 108. Solve 2*l = -3*u - 2 + 13, -k*u = -4*l - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 140 = 136. Suppose 0 = -5*c + 3*r + h, -2*c + 7*c + 2 = 4*r. Suppose -c = -2*z + 8. Solve -3*n = -3*d + 18, z*n + 8*d = 3*d + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/4 (b) 149 (c) 2\/3 (d) -0.3 (e) -3 (f) 10\/3 (g) -248\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -196, -629, -1464, -2833, -4868?\n\"Answer: -22*q**3 - 3*q**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 29. Let y = 10 + i. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177963 + 635728 = 20519*h - 5656*h + 189445 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*v + 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1853286 less than -1853283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x**2 + 20*x**2 - 38*x**2 - x**2.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15070 + 14982 - 30028 + 3*n.\nAnswer: 3*n + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -g + 231, -2*g + 5*o + 241 + 247 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1216 - -2333. Let i = -14 - -19. Suppose -4*p - l = 2*l - z, 0 = -3*p + i*l + 845. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0*a**4 + 16\/5*a**6 + 0 - 8*a**2 + 0*a**5 - 35*a - 1\/3*a**3. What is the second derivative of w(j) wrt j?\nAnswer: 1152*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 3 + 3)*(-x - 5 + 5 - x - 5*x + 4*x + 5*x - x - 6*x + (2*x - x - 2*x)*(-2 + 1 + 3) + x + 2*x - x + 4*x - 3*x - 2*x).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 99*f - 255. Calculate x(11).\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -34530 != -34530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93300188, -93300189, -93300190?\nAnswer: -93300191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(66) + (sqrt(66) - (sqrt(66) - (sqrt(66) + (sqrt(66) - (sqrt(66) + sqrt(66)*-1))))))*-5)\/(-6*sqrt(18)\/sqrt(3)*-4).\nAnswer: -15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2 + 25. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35014914*s**6 - 302706*s**2 + 2*s - 3?\nAnswer: 4201789680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3 + 1 + 1 - 1 + (2 - 3 + 3)*(-2 + 0 + 3))*(-8*s - 258 + 258) - 4 + 4 - s.\nAnswer: -41*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/7)\/o**5)**(-2)*((o**(-6)\/o)\/o*o*o\/((o\/(o*(o\/(o*o\/(o\/(o*o**(5\/2)\/o)))*o)\/o)*o)\/o))\/((o\/o**3)\/((o\/(o\/(o**(-1\/7)\/o)))\/o)) assuming o is positive.\nAnswer: o**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30531552917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.042 rounded to zero dps?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*(-3)\/(-24)*-2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) - 4\/3. Let h be -2 - 0\/1 - -7. Suppose -5 = -0*d + h*d. Is d smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28013 = -2*q - 5*x, 4*x = -40 + 36. Are -14004 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -2 - 1) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/33615 and 67\/713385.\nAnswer: 6420465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274755000 rounded to the nearest one million?\nAnswer: 2275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3778 + -2153. Let l be 75\/j + (-2)\/(-13). Factor 4\/5*u**3 - 4\/5*u**4 + l*u**5 + 0 + 0*u + 0*u**2.\nAnswer: u**3*(u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 78.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as 39\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21 + (-5 - 2))*1. Suppose -14 = -14*y + g. Solve -4\/3*k + 1\/3*k**4 + 4\/3 - k**y + 2\/3*k**3 = 0 for k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o + 48 = 0. Let w be -3 - 40\/o - 195\/(-9). Let y be 4\/w*((-2)\/4 + -3). Is 0 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 32 = -2*r + 5*p, 2*p = -8. Let x be (2\/12)\/((-1)\/r). Let j be ((-11)\/(-66))\/(0 - 9\/12). Which is the third smallest value? (a) -4 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51692.\nAnswer: 2, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5449*h + 276493 = -5442*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvhv when four letters picked without replacement from {j: 11, h: 2, v: 6}?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 627*w**6\/20 + 1829*w**4\/12 - 3309*w**2. Find the second derivative of b(z) wrt z.\nAnswer: 22572*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 3)\/(2*1). Suppose c = -n + 5*n + 12. Sort -1, 2, n, -70 in increasing order.\nAnswer: -70, n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1705 = 5*u - 21005, -4*w - 4 = 0. List the prime factors of u.\nAnswer: 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*v - 69. Let x(n) = -5 - 3 - n**3 + n + 6*n**2 + 2*n**2. Let z be x(v). Solve -k - 2*k = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4596 to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 20968004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = -x, -20 + 64 = 4*x + 4*w. Let c be (-6)\/4 - (-276)\/x. Solve 13 = 5*o - j + c, 0 = -5*o + 3*j - 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100978 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nde when three letters picked without replacement from ooenyedeeeeop?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b2 + -2?\nAnswer: 7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 - 122. What is the remainder when 101 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 2*y + 1. Let a be g(-1). Let b be 4\/(2 + -2 + a). Let h = b + -2. Solve 0*u - u = h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*a**2 + 47*a**2 + 584820 + 48*a**2 + 51*a**2 + 3420*a - 193*a**2.\nAnswer: 5*(a + 342)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y + 2*k, 5*y - 4*k - 2 + 12 = 0. Solve -29 + 38 = -3*f + y*i, 0 = 5*f + 4*i - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**(34\/3)\/(w*w**14*w*w\/(w*w**(-13\/5)*w)))**(-2) assuming w is positive.\nAnswer: w**(392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/23)*y)*y)**(2\/31))**(1\/2) assuming y is positive.\nAnswer: y**(21\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 51 in decreasing order.\nAnswer: 51, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 346.3\nAnswer: -351.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -141, -428, -985, -1902, -3269, -5176, -7713?\n\"Answer: -15*s**3 - 2*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 18. Calculate the common denominator of (f - 5)\/1 + (-79)\/(-18) and 49\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280963 less than -145690?\nAnswer: -1426653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1555206ml?\nAnswer: 0.0001555206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -123*s**3 - 2*s**2 + 8*s - 165. Let v(u) = u**3 - u**2 + 4*u + 1. Let h(k) = -c(k) + 2*v(k). Differentiate h(o) with respect to o.\nAnswer: 375*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-x - x + 4*x) + (3*x - 4*x + 3*x)*(6 - 2 - 3) + x + 2*x - x + 3*x - 3*x + 2*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.83639 times -0.4\nAnswer: -0.334556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffpffffffffffffp. Give prob of sequence pf.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -12*l**2. Let x(v) = v - 3. Let q(i) = -i**2 - i. Let h(f) = -2*q(f) - x(f). Let z be h(0). Let k(d) = -z*d**2 - 5*d + d**2 + 5*d. Give b(k(n)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*sqrt(17)*2.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1722166170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 2. Let h = 0 - -4. Let j be p(h). Calculate the highest common factor of j and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.75 * 0.156887.\nAnswer: 0.11766525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 3434 = 3*a + 3407 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -137 (c) -491 (d) 2\/19 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48176270 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*(-5)\/(-10))\/(-1). Sort c, 5, 2 in decreasing order.\nAnswer: 5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 295324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q)**(-19))**(-14\/5)*(q*q**(-1\/16)*q*q**(1\/8))\/(q\/q**(-1\/11)*q**(-6\/11)*q*q*q) assuming q is positive.\nAnswer: q**(-94937\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 29, 51, 77, 107, 141, 179?\n\"Answer: 2*q**2 + 12*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/413935256 and 57\/20?\nAnswer: 2069676280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 9*h**2 + h + 2*h**2)*(0 + 0 + 2)*(-2*h**2 + h**2 + 0*h**2).\nAnswer: 8*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1355906 or 1355922?\nAnswer: 1355906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 204*v + 2. Let w be (32 + 2)\/(((-92)\/299)\/((-6)\/(-13))). Calculate k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 81, -4.\nAnswer: -4, -1, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11202940 divided by -5601470.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6193 + 1.3157. Let m = 4 - 3.935. Let s = x + m. Sort s, 0, 0.01 in ascending order.\nAnswer: 0, 0.01, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v - 29*t = -26*t + 100, 2*v - 4*t - 196 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/634, -18\/5, -71 in descending order.\nAnswer: -1\/634, -18\/5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 3104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/20 - 7*j**4\/12 + 7*j**3\/6 + 2*j**2 + 2*j. Let s be t(-8). Solve -s - 13 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 1 + -4 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 385. Let h be r(0). Suppose 4*k - 10 + 82 = 0. Let z = 73 + k. What is the highest common factor of h and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17b50 (base 15) to base 9\nAnswer: -126313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -0*i - i, i - 3*x = -3. Suppose 3*d - 7*d - 3*j + 14 = 0, -2*d + i*j - 2 = 0. What is the tens digit of (-1*d)\/(66\/69 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(-1 + sqrt(5)*1 + -4)*5 + -3))**2.\nAnswer: -15520*sqrt(5) + 45636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.113947 - 0.114. Round h to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2959 or -56245\/19?\nAnswer: -56245\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = 3*l - 0*l, -3*p - 2*l = -28. Suppose 6*k = p*k - 8. Let n be (k\/10)\/(2\/180). Calculate the greatest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, 65, 183, 359, 599, 909, 1295, 1763?\n\"Answer: m**3 + 20*m**2 - m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.09 + 2.09. Sort 0, 4, -2\/11, t, 0.6 in descending order.\nAnswer: 4, 0.6, 0, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 287 + 203 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 151 = 47*f - 196 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 26\/60199?\nAnswer: 26\/60199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29858, 29488, 28866, 27980, 26818?\nAnswer: 25368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2162489 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 7 = -2*w - 5*s, -5 = w + s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h**2 - 4*h)*(8*h**3 + 9*h**3 - 6*h**3).\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 51*y**2. Suppose 3114*i = 3020*i. Let d(l) be the second derivative of i + 0*l**2 + 1\/6*l**3 + 28*l. What is d(j(h))?\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**2 - 27*x + 89. What are the prime factors of g(16)?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -27. Solve -p + 3*c = w, 0 = -p - 2*c + 3 + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234108.\nAnswer: 2, 3, 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from trbrirxtr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 6*g = -37, -17*g - 28 = -21*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26136846 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**7\/p**2)\/(p\/((p\/(p*p**(3\/8)))\/p)*((p\/p**(1\/3))\/p)\/p))**(-7\/5))**30 assuming p is positive.\nAnswer: p**(-665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16565*z**2 + 16567*z**2 + 4 + 0 + 4 - 3.\nAnswer: 2*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllll. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 10*w**2 + 8*w - 5. Calculate p(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*m + 236*b - 34 = 235*b, 0 = 3*b - 12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 41361377 = -3*x + 144174608, 0 = -5*g + 3*x + 231920015. Round g to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -112*p - 106. Let b(a) = -46*a - 53. Let n(j) = -5*b(j) + 2*m(j). Give n(7).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 8*k + 10*k. Let m(x) be the second derivative of x**3\/3 + 69*x. What is y(m(s))?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)*1)\/sqrt(12))**2 - sqrt(850)\/sqrt(2))*1.\nAnswer: -5*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 11*o**4 + 47*o**3 + 48*o + 9*o**4 + 38*o - 89*o to s*o + b*o**4 + k*o**2 + p + z*o**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 205 = 191. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 1247.\nAnswer: 25\/1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, 0.5, 2, -0.21.\nAnswer: -0.21, 0.5, 9\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**2. Let d(w) = -1373*w**2 - 2049. What is d(u(b))?\nAnswer: -87872*b**4 - 2049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*a**3 + 9*a**3 + 7*a + 29*a**3 to n + b*a + k*a**2 + i*a**3 and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 90. Suppose -r*g + 62 = -47*g. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 36\/143, -3, 2\/9?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 1 (c) 0.6 (d) 2\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/2 and -59\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 40 = -8*h, 0 = l - 8797*h + 8800*h + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 11*o**2 + 100. Let a be i(10). Solve 7*d - 11*d - 8 = a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*h - h. Let c = h - 1. Calculate the remainder when 15 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1485.606191 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(60\/10)*(-150)\/(-60).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(117) + 0 + sqrt(117))*1)**2 + 5 - (((-1*sqrt(117)*6)**2 - sqrt(117)) + -6*sqrt(117)*2)).\nAnswer: -11217 + 117*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)**48\/(w*w**(-7)*(w*w**(-2)*w)\/w)*(w**(-11)\/w*w*w**4)**(-1\/17) assuming w is positive.\nAnswer: w**(126\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 584, 787, 1388, 2387?\n\"Answer: 199*g**2 - 394*g + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -2, 1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.64323 millimeters?\nAnswer: 0.00000364323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-35))\/(((-12)\/(-75))\/(636\/60 - 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and -0.02734455?\nAnswer: -0.79299195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -25*f**2 + 1. Let w(o) be the first derivative of o**2 + 113. What is w(c(g))?\nAnswer: -50*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101101 + -2?\nAnswer: 11101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:57 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 7. Suppose -v = 3*x - 6, -3*x + 4*x = -2*v + 2. Solve 5*m - z - 3*z = 6, v = -2*m - 3*z + c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h + 8. Suppose 2*m - 25 = -d, -d - 2*m - 3*m = -40. Let p(z) = -2*z + d*z - 15*z. Give i(p(l)).\nAnswer: 24*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 - 2*v**2 - 20*v**2)*(-v - v**2 - 1 + 0 - v**2)*(11 + 9 - 8).\nAnswer: 384*v**4 + 192*v**3 + 192*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -64*d + 4894. Calculate v(73).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 4, u: 3, p: 3, o: 5, t: 4}. Give prob of sequence tupp.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 175 = m, 3*m - 32 = -3*o - 182. Let f = 40 + o. Let l(v) = v**3 + 5*v**2 - 10*v - 3. What are the prime factors of l(f)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**7*q)\/q**(-3)*(q**(2\/9))**38*((q**(-4)\/q)\/q**(1\/5))\/(q*q\/(q*q\/(q*q**(4\/3)*q))*q\/q**(-5\/4)*q) assuming q is positive.\nAnswer: q**(1559\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f - 31*f + 18*f)*(f - 10*f - 4*f).\nAnswer: 286*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8008431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {b: 2, m: 6, a: 10}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295 + -5607\/19. Which is smaller: u or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 9. Let r = 36 - 18. Let b = r + d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30 and 2471086.6.\nAnswer: 2471116.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*g + 2 = -3, 2*g = 5*l - 21. Let d(h) = -l + 5 + h**2 + h**3 + 1. Let i(r) = 2*r**3 + 5*r**2 + 6. Let n = -2 - -3. What is n*i(s) - 4*d(s)?\nAnswer: -2*s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 3152, 7, -7\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -10543777?\nAnswer: 2108755.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**2. Let z(x) = 3*x - 4. What is z(l(r))?\nAnswer: -18*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2909628 and -117\/32868020.\nAnswer: 887436540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 159, 356, 631, 984?\n\"Answer: 39*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142533*f**3*u**2 + 21792*f**3*u + 8*f**3 + 20*f + 2*u**5 - u**3 wrt u?\nAnswer: -285066*f**3 + 40*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 41 - 30)*(v - v + 3*v**2 + (-2 + 3 + 3)*(-v**2 + 5*v**2 - 2*v**2) - 4*v**2 - 4*v**2 + 5*v**2).\nAnswer: -112*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**4\/12 - 2*r**3\/3 - r**2 + 3*r. Let s be l(3). Let k = s + 7. Solve -k*i - 12 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103931098 is divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/6 + (-8)\/12. Let q = 9 + x. Which is smaller: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1687540, 1687541, 1687542, 1687543?\nAnswer: 1687544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178313 and 41956.\nAnswer: 713252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 579 = 895. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 + 162*d + 69. List the prime factors of u(-38).\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/470 and -61\/940.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.786 - -0.214. Let r = 0.1 + 0. Which is greater: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 6*d**2 + 4*d + 16. What is the lowest common multiple of h(-4) and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3073710784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436 divided by 20297.\nAnswer: -436\/20297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 3*d - 5. Let j = 11 + d. Let h = 25 + j. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224\/37008 - ((-158)\/18 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 909756432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.82, 8, -1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 714 and 4335100.\nAnswer: 221090100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let x(o) = 12*o - 34*o + 17*o + 2 + 14*o. What is r(x(n))?\nAnswer: -162*n**2 - 72*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7511, 8261, 9011?\nAnswer: 9761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/14)\/t*t)\/t*(t**(1\/14)*t*t*t)\/t assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 13\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9134 + 9137. Let x(j) be the third derivative of 0*j**i + 0*j - 19*j**2 + 0 + 1\/8*j**4 - 9\/20*j**5 - 8\/35*j**7 + 3\/5*j**6. Factor x(p).\nAnswer: -3*p*(p - 1)*(4*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:18 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:09 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 5*y + 87, -4*u = 84*y - 81*y + 29 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 678809*-0.5.\nAnswer: -339404.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565875 is divided by 183?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.129 - 13.514.\nAnswer: -13.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(84)\/sqrt(192) + sqrt(567) + (5 + sqrt(567)*1)**2 + sqrt(567).\nAnswer: 215*sqrt(7)\/2 + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 divided by -3952?\nAnswer: -34\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 11*b**2 + 11*b**2 - 90*b + 36*b**3.\nAnswer: 36*b**3 - 84*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 110864*v**2 - 1596*v. Let n(y) = 2*y. Give a(n(c)).\nAnswer: 443456*c**2 - 3192*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 35500000 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.794822 rounded to 3 dps?\nAnswer: 2.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(sqrt(80) + -1*sqrt(80) + -5))**2 - (3*-2*sqrt(80) + sqrt(80) + sqrt(80) + 1 + sqrt(80) + 5 + sqrt(80))**2*-5.\nAnswer: -480*sqrt(5) + 1829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - 6*t**2 - 7. Let s(b) = 7*b**3 - 11*b**2 - 13. Calculate 11*f(r) - 6*s(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184584*n**3 - 4*n**2 + n - 4318 wrt n.\nAnswer: -1107504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-369)\/(-18))\/((1\/(-18))\/1). Let c = 389 + n. Calculate the remainder when 64 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102981827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-127)\/12 + 11). Calculate the greatest common factor of m and 30372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 2*g. Let c(h) = -h**2 - 3*h. Let m(n) = 2*c(n) - 3*t(n). Let v(x) = -3*x**2 - 19*x - 18. Let r(u) = 2*m(u) + v(u). Does 12 divide r(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 2*f - 6*f + 2 - 2 + 2*f + (4*f + f - 4*f)*(3 - 2 - 2) + 2*f - f + f + (-1 + 3 + 3)*(5*f - 3*f + 3*f) + 0*f + f - 3*f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2379 (base 11) to base 6.\nAnswer: 22223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:02 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 149*v + 195. Give t(-48).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -657560 divided by 131512?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.06107 - -56.92583. Let h = -59 + p. Round h to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = -8*n. Solve 0 = -5*v - w, 3*w + 8 = n*v + 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*1*(0 + -1). Suppose 15 = 4*m + m. Let y = p - m. Solve 4*g + 12 = -3*n, 2*g - y*n = -2 - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14161g in milligrams?\nAnswer: 1141.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10) + (13 - 5) - -23 - -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/78232 and -3\/89408.\nAnswer: 625856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -4*f - s, -3*f - 2*s + 4*s = -191. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f + 70 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24692 * 1\nAnswer: -24692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1400)*-2)\/(-3*1*sqrt(7)) + 3)*-6.\nAnswer: -40*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1635215 and 0.32?\nAnswer: -523268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 4*y**3 + y**3 + 2*y**3 - 7*y**4 to the form u*y**4 + f*y**2 + m*y + j*y**3 + n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 166748019971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 - -261. What is the remainder when o is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13501\/(-46))\/(-1 - 1\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2308*y + 2519*y - 4366 - 2386 = 0 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7149766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - o + 281 = 7*p, 2*p = 5*o + 135. What is the highest common factor of 50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*g - l, -2*g = -3*g - 3*l + 14. What is the greatest common factor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 18. Let i(f) = -169*f - 52. Let a(s) = 10*s + 3. Let j(y) = p*a(y) + 3*i(y). Let k(z) = 5 + 2*z**2 - 5. Calculate k(j(g)).\nAnswer: 338*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560.738l to millilitres.\nAnswer: 560738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 12:34 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4940 and 2372320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/5958701 and 151\/5107458.\nAnswer: 35752206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from fzozofzozzzffffzff?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + -9?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4\/13 (c) 27.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3290 is divided by 780?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6849 divided by -4?\nAnswer: -6849\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - 100. Let c = 29 - o. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 f, and 1 i when four letters picked without replacement from sjswfwsjfmim.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*a + 5 = 0, -2*a = 4*x - 0*a - 8. What is the highest common divisor of x and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2299)*1 + 3 - (sqrt(2299) + sqrt(2299)*2 + -1) - (0 + 2*(sqrt(2299) + 1)))*3)**2.\nAnswer: -1584*sqrt(19) + 331096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z + 52. Let l be g(10). Suppose 4*y + 72 = l*k - 0*k, -94 = -3*k - y. What is the lowest common multiple of k and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/12)\/(-7)*-4. Let y(l) = l**3 - 2*l**2 + 2*l + 5. Let z be 2 - 0 - (8 - 2 - 4). Let s be y(z). Which is the closest to n? (a) -2\/5 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - 2*t**5 + 0*t**5 + (t**5 + 0*t**5 - 3*t**5)*(1 + 2 - 1) - 3*t**5 - 3*t**3 + 627*t**4 - 631*t**4 - 16*t**5.\nAnswer: -24*t**5 - 4*t**4 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10739098.\nAnswer: 2, 5369549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8455 - -1?\nAnswer: -8454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -4 (c) -2\/13 (d) -4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 + 475 = -72*d - 1155 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8\/119 - -6\/17. What is the closest to -0.2 in m, 5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 588.71 and -0.5.\nAnswer: -294.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-2) + 4\/2. Let u be (-2)\/10 + l\/20. What is the nearest to -0.3 in -1\/2, u, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -20, -10, 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -481 - 261. Suppose -w + u = -4*l, 0 = -w - 4*l + 353 + 18. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008305608 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -4, -116, 214, -10, 3 in decreasing order.\nAnswer: 214, 3, 1, -3, -4, -10, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 8486 - 45300 = 152894. List the prime factors of n.\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263995737.\nAnswer: 3, 17, 5176387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123273 is divided by 1120.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let p = -223 + 223. Let z(b) be the second derivative of 5\/6*b**3 + 9*b + 0*b**2 + p. What is z(a(h))?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((6\/(-2))\/((-472)\/3304)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 2*(sqrt(70) + sqrt(70)*1 + sqrt(70)) + sqrt(70) + sqrt(70))\/(sqrt(40)\/sqrt(4)*4))**2 - 6*sqrt(70)\/((sqrt(60)*-3)\/sqrt(6)).\nAnswer: 2*sqrt(7) + 567\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.43, -21157, -1\/2?\nAnswer: -21157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -866.\nAnswer: 7\/866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 0) + (141 - 131) + 84?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 10:02 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -765330 to the nearest ten thousand.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 560, 1120, 1684, 2252, 2824, 3400, 3980?\n\"Answer: 2*s**2 + 554*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*v**4 - 6 - v**2 + 2*v**2 in the form w*v**4 + s*v + n*v**2 + g*v**3 + l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -a - 5. Which is bigger: 1\/500 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6.3. Let q = 0 + 0.1. What is the second biggest value in g, q, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 smaller than 0.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/4 - (-1)\/4. Calculate the lowest common multiple of 15\/u + -3*1 and 4\/14 - (-248)\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1\/(-38)) - 0. Suppose 47*q - 43*q - 248 = 0. Let m = q - b. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or -259\/5?\nAnswer: -259\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(2299) + ((-2 + sqrt(2299) - sqrt(2299)) + 1 - sqrt(2299)))**2.\nAnswer: -132*sqrt(19) + 2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/134520 and -94\/1455?\nAnswer: 13048440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133.47 - -134. Let o = -0.102 + 0.032. Let l = o - u. What is l rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(980)*-5.\nAnswer: -70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e6c + -41ae?\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 + 407. Let c = h - 215.19. What is c rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -185272940 to the nearest 1000000.\nAnswer: -185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 20*w + 21. Let v be n(19). Solve -1 = -v*z - 3*h, 5*z - 19 = 3*h - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*v + 21*v + 20*v + 21*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667812, -1335613, -2003414?\nAnswer: -2671215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 11, -35, -81?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 291, 293, 295, 297?\n\"Answer: 2*i + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((d\/(d*d**(2\/19)))\/d)\/d*d)\/d)\/d*d)**(-12\/13)\/(d**(-24)*d**(-2\/13)))**(-10\/3) assuming d is positive.\nAnswer: d**(-64460\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12\/19 + -2\/57. Are x and -1.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44517523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (-1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4313, -2, 1\/4, -1.5, -4 in descending order.\nAnswer: 1\/4, -1\/4, -1.5, -2, -4, -4313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/12 - 11*z**3\/3 - z**2\/2 + 855*z - 2. Let u(k) = -k. Calculate -l(b) + 6*u(b).\nAnswer: b**2 + 16*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24*2\/18*12\/16. Sort 3, h, 1271 in descending order.\nAnswer: 1271, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from {e: 10, c: 3, t: 1, a: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19211.17 hours in microseconds?\nAnswer: 69160212000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145381232 to the power of 1\/2, to the nearest integer?\nAnswer: 12057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 77*a - 1566 = 45*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 1, g: 1, v: 1, c: 5}. Give prob of sequence vgay.\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167303 and 879?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 2621 = 14924. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15 + 5)\/(-4 + 2). Let d = 8788 + -8783. Solve 4*t = -3*c + q + 4, -d*t = -2*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16257036 or 16257041?\nAnswer: 16257041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*65\/(-130)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416258 is divided by 52402?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3955*q - 4736. What is the thousands digit of j(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-7)\/98*-4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 25 = -2*p. Suppose 20 = -4*z, -p*k + 4*z + 5 = -10*k. What is the second derivative of -3*x**3 - 2*x + k*x**3 + x**4 wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/8 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/2 + 356*t**3 + 3*t**2\/2 - 1069*t + 712 = 0. Calculate t.\nAnswer: -2, 1, 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -660522 (base 12) to base 14\nAnswer: -3019c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 1. Let n(i) = -10*i - 5. Suppose -5*w - 4 = 1. Let f(u) = w*n(u) + 5*p(u). Let m(s) = s. What is m(f(z))?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11429628 and 76?\nAnswer: 217162932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 185*i + 535. Let c be b(-3). Let n = -2.99 + -0.01. What is the nearest to -0.3 in n, -5\/4, c?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*b = -4*m - 37, 2*b = 2*m - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.257 + -0.013. Let g = s - 39.73. Let u = -40.00000029 - g. What is u rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:29 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**7\/1260 - 37*i**4\/6 + 12*i + 3. Let s(b) be the third derivative of u(b). Let r(z) = 32*z**2. Calculate s(r(k)).\nAnswer: 2048*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Let u(c) = -c**2 + 4. Let z(y) = 217*y**2 + 28. Let q(b) = -14*u(b) + 2*z(b). What is q(n(x))?\nAnswer: 1792*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 322\nAnswer: 1\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 5666255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - -1.94. Let y = 18767\/84411 + -1\/9379. What is the closest to o in -3, y, -1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10*z**2 - 2*z + z**3 + 4*z - 6*z**2. Let h be j(-3). Let n = 3171 + -3165. Solve -n*g = -h*x - 4*g - 13, 3*g - 21 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/9 and -31\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -205560, -205582, -205602, -205620, -205636, -205650, -205662?\n\"Answer: g**2 - 25*g - 205536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14452 - 3142430?\nAnswer: -3123534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 13057, -2, -3, -4, 1 in descending order.\nAnswer: 13057, 7, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - a - 2. List the prime factors of m(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 bigger than 405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1214 = -17*u - w, -2*u + 163 = -2*w + 5*w. Calculate the remainder when u is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/c**(-5\/8))*((c\/c**(-10\/11))\/c*c)\/c*c assuming c is positive.\nAnswer: c**(201\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 32. Suppose d = 2*d - 54. Calculate the greatest common factor of z and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + -3 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -309394 at least as big as -309394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.4 + -4.4. Sort 6, 0.5, -0.5, q in increasing order.\nAnswer: -0.5, 0.5, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 30*a**2 + 64*a - 228. Let y be v(28). Let q be 1*2 - (-3)\/3. Sort y, -2, q in descending order.\nAnswer: q, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 19 = -3*b, -8 = -2*b + n + 3. Suppose b*d - 500 = -5*q, 4*d + q = -0*q + 391. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 268 - 268.299. Let l = 0.29899414 + h. What is l rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 150*l**2 - 3*l + 2. What are the prime factors of k(1)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142930 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*z + 7, -596*z = -600*z - u - 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9329 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154315 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(684) - sqrt(684))*6*-4 + -2*(sqrt(684) + sqrt(684) + -1) + -1)**2.\nAnswer: -48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 8:01 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + u + 3 = 0, -2*y + u - 3*u = -6. Let s = -95 + 105. Suppose 12 = s*d - 14*d. Put y, d, -4 in decreasing order.\nAnswer: y, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {e: 5, g: 4, u: 4, i: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 383.2 - 383. Let b = -2.062 - 0.038. Let g = b - -2. Sort r, 3, g in increasing order.\nAnswer: g, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3162\/10969 - 4\/1567. Which is the biggest value? (a) 303 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273101.\nAnswer: 41, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105795 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(6) - (sqrt(42)*2)\/sqrt(7)))\/(sqrt(12)*-5 + sqrt(3) + sqrt(30)\/(sqrt(10)*-2)).\nAnswer: -4*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6901345 divided by -1380269?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97329129221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.66 + -1.802. Let x = g - -0.642. Which is the third smallest value? (a) -0.4 (b) 0.4 (c) x (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -8 - (7 - 3)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*l + 36, c + 3*c - 52 = -4*l. Suppose 19*g + c = 23*g. Solve 3*h = 15, p + h = -g*h + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 + 23*q**2 + 23*q**2 - 3*q**2.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 142047703, 142047710, 142047729, 142047766, 142047827, 142047918, 142048045?\n\"Answer: b**3 + 142047702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s + 2. Let d(i) = -1. Let y = -2 + 7. Suppose 0*k - y = 5*k. Let m(n) = k*p(n) - 3*d(n). Calculate m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -485*r - 25. Let m be 6\/(4*(-2)\/12). Let v be n(m). Round v to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/6 + 8245*r\/6 - 1374.\nAnswer: -(r - 8244)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**34*h*h\/(h*h**(42\/11)))**(-23) assuming h is positive.\nAnswer: h**(-8142\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9576)\/1008*1*2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008301 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**5 + 64*q**4 + 24*q**3 - 496*q**2 + 644*q - 240 = 0.\nAnswer: -15, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9995 by 692.\nAnswer: -9995\/692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + l**3 - 2*l**3 - 9*l**2 - 2*l**2 + 9*l**2 as c*l**2 + i*l + g*l**3 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 8. Let v be b(-6). Suppose 2*i + 6216461 = 4*t - 1103535, -2*t = -5*i - 3659990. Suppose -t = v*n + n. Round n to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311272, -15\/8, -4\/5 in descending order.\nAnswer: -4\/5, -15\/8, -311272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*((-244)\/(-1288) + ((-1166)\/308)\/(-53))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-323)\/(-459))*(98\/(-231))\/(-7)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1552.5 + 11.5. Let b = x - -1540.997073. What is b rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 1 - (-7 + 11)\/(-2). Solve -4*f = -b*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 12ab?\nAnswer: 12a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -11 - ((1 - (-3 - -5)) + (8 - 2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5991 times 4\nAnswer: 2.3964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 = 6*r. Find the common denominator of 38\/27 and (r\/(2\/1))\/((-270)\/99).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 - 33*h**2 - 14*h + 7. Let f be t(7). Solve -i = 5*j - f, -2 + 8 = 3*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1132155871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 6 - 26 = 0. Let p = 2 + -2. Solve -4*a + o + 15 = p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -38 - 4. Let r = m - -28. Solve r = -5*w + 4*u - 12, 4*w + 4*u = 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 1 g when three letters picked without replacement from gghppypp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20. Let v = -8.13 - -3.13. What is the fourth biggest value in -1\/10, 5\/2, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 7. Let w be ((-4)\/(-6))\/(j\/(-6)). What is the third derivative of -15*z + 15*z - 2*z**w + 2*z**4 + 0*z**4 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 8. Let s(o) = 26*o - 26*o + o**2. Calculate s(x(v)).\nAnswer: 16*v**2 - 64*v + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 857504 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12904 - 1013 = 23*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.52 - 5.08. Let c = 1.4 - z. Let o = -27 + c. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (458496\/(-120992)*114\/(-8))\/(3\/(-8))\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-6\/11)))**7 assuming g is positive.\nAnswer: g**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1104 + 1106. Let h be 1 + 0 - (-1 - -2). Suppose 4*a - 7174 = c, p*a - c + h*c = 3588. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = 0. Suppose t*x + 5*r + 1 = 2*x, -28 = -x - 3*r. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 12*h + 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**3 + v**2 - v. Let y be b(1). Let n = y + 6. Which is bigger: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.25 and 85223?\nAnswer: 85222.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12220 + 112021?\nAnswer: 22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/987363 and 103\/18?\nAnswer: 1974726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-3 + 2))\/1. Solve x = 5*k - 8 - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + 3 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 36\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 1. Let i = 439 - 425. Let v = s + i. Solve -2*d = -v*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129077.\nAnswer: 7, 447011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 + 2*k**3 + k**4 - 1 - 4*k**3 + 2*k to the form z*k**3 + r + b*k**4 + d*k + q*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 8 - 195)*(-3 + 7 - 2 - u) as s + d*u and give s.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 + c + 2. Let z(p) = 2*p**3 + 2*p + 2. Let i(a) = -3*m(a) + 4*z(a). What is the tens digit of i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l**5 + 946*l**4 - 24420*l**3 + 98254*l**2 + 24408*l - 99200 = 0.\nAnswer: -100, -1, 1, 31\/6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 424 + 39*q**2 - 424 + (-7 + 8*q + 7)*(5*q - 2*q + 5*q) in the form b + j*q**2 + m*q and give j.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 + 6*l + 2. Let s(z) = 9*z**2 - 13*z - 3. Let y(h) = -3*s(h) - 7*w(h). What is the tens digit of y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4404 = 2*t, -4*t + 4330 + 82 = 4*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -60. Let l = 15 - v. Which is the nearest to 1? (a) l (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*s**2 - 169*s**2 + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132013 + -1021?\nAnswer: 1130332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/((-10)\/60*-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*r - 268*r + 963*r - 272*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 8*t - 10. Suppose a - 2*b = -3 + 6, -1 = -2*a - b. Let x(z) = 4*z - 2 - 2 + a. Let q(h) = h - 1. What is t*x(f) + 7*q(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0905, 1\/5, 39.\nAnswer: 0.0905, 1\/5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*w = -120 + 372, -4*v + w - 212 = 0. Let b = v - -29. Let t = 0 - b. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/24136 and 89\/120680.\nAnswer: 120680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -1.2. Let f = z + 0.7. Let a = f + 0.7. What is the third biggest value in -0.2, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 2 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -4 - 3\/2*p**2 + 4*p. Let l be t(3). Put l, 0, -1 in decreasing order.\nAnswer: 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(35\/12) - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 488.827 or 0.14?\nAnswer: 488.827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f - 1 + f + 6 + 5*f**2 - 2*f**3. Let h(s) = -1 + s**2 - 4*s**2 + 2*s**2. What is -5*h(m) - v(m)?\nAnswer: 2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11214, 11149, 11084, 11019, 10954?\nAnswer: 10889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2015*v - 475703. What is u(-236)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -44. Suppose -y = -3*q + 24 + 42, 4*q - 88 = -3*y. What is the remainder when (1041\/24)\/1 + p\/56 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a - 6 = 53*a - 24. Solve 2*b + 5 = r, 2*r - a = 2*b - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2*x - 3*x)*(5*x + 2*x + 0*x).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c - 7*c - 10 + 0*c + 2*c**2)*(-c**2 - 19*c - 16*c + 12*c) as q*c + p*c**2 + t*c**4 + y + o*c**3 and give o.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 + -3 + -1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15461 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -82*t**2 + t + 20. Let j(k) = -3. Let g(l) = -4*i(l) - 28*j(l). Suppose w - h - 3 = 0, -5*h - 11 = -w - 0. Is 43 a factor of g(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 9*w**2 + 9*w - 9. Give m(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(1\/(-4)). Let h be (5\/(-2))\/(u\/4). Put h, 1, 5 in decreasing order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose 2*f + s = 3*f. Let o = -224616 - -224614. Sort 11, f, o, 0 in decreasing order.\nAnswer: 11, f, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 53. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -30*u**2 + 637*u + 3914. Give f(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1970567 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 15. Let c be t(7). Let r be (-9)\/(-6) + (-3)\/6. Suppose 3*i = -14 - r. Sort -4, i, c in ascending order.\nAnswer: i, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 192?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -1\/9 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 92, 4 in increasing order.\nAnswer: -4, 4, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612467.\nAnswer: 3, 17, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-18)\/(-48))*25\/(-1100)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -6?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4936 - -9410. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111 - 10000010?\nAnswer: -100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/8 - 9*c**2\/2 - 33*c\/8 = 0. What is c?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*n, 2*n = 5*q + 3 - 17. Let v be ((-1 - q) + 3)*1. Suppose j + x + 3 = v, 2*x - 4 = -3*j - 11. Is -4 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-95)\/(-2) + 12\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273720239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -7*j + 4*k + 58 - 6, 9*j = 8*j + 4*k + 14*k + 271 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.67336808 rounded to 3 decimal places?\nAnswer: 2.673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -214 - (-2)\/(-2 - 0). Suppose 2*f - 18 = 5*b - 2618, -20 = -4*f. Let c = o + b. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/2)\/(-2 + 3). Let r = 0 + n. Let y(q) = 2*q**r - 2*q**2 + 2*q**2. Let x(t) = -2*t. Give y(x(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 3:30 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2224?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 times -0.7762652\nAnswer: -2.01828952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -19. Let r = v - 70.951. Let q = -0.011 - r. Which is the third smallest value? (a) 5 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.114028 tonnes in nanograms?\nAnswer: 5114028000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 + 46. Let p be 1\/(-1*(-904)\/i). Let z = 2814\/565 - p. Calculate the common denominator of z and -109\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*s = -47 + 43, -16 = -5*y + 2*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9894304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5172927, 10345846, 15518767, 20691690, 25864615, 31037542, 36210471?\nAnswer: 41383402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(65) - (sqrt(65) + (-3*(sqrt(65) + (sqrt(65) - 1*sqrt(65))) - sqrt(65)) - sqrt(65))))\/(sqrt(55)\/(-5*1*sqrt(11))).\nAnswer: -125*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1786344 and 803208.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193.9 + 877.1. Let t = 1070.257 - l. What is t rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/9 + 14611666*d\/9 + 4870556\/3 = 0. Calculate d.\nAnswer: -1, 7305834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -2*d**2 + 1\/10*d**5 - 5\/3*d**3 + 0 - 1\/2*d**4 + 1\/15*d**6 + 5*d. Solve s(w) = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7962 + -7968. Let b(p) = 15*p + 82. Calculate b(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 394 + -4?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -652172*l - 44. Let s be y(23). Round s to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9628779 (base 10) in base 12?\nAnswer: -3284263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(6\/2 - 5). Suppose c - 2*u = -4*c + 13, s = 5*c - 5*u - 10. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(1\/15)\/q*q)\/q*q*q**(1\/7)*q**(-2)\/q**5 assuming q is positive.\nAnswer: q**(-608\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 99.48. Let p = m - 0.68. Do -0.8 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c = 18. Let o be c\/(-27) - 249\/(-27). Suppose 0 = m + 4*x + 11, -3*x - o = -5*m - 7*x. Solve -m*d + 1 = -19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 15. Are d and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - (-25)\/10)*(-52)\/585. Let x = 0.8 - 0.83. Which is the third biggest value? (a) x (b) -4\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 60?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*i - 7, -3*q + 9*i + 7 = 4*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22*(43*(-2)\/(-4) - 1). Let t = 9 + -7. Suppose -t*j + 363 = -d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00176338676 rounded to five dps?\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394469.\nAnswer: 233, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14592 divided by -2432?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-558 - 474 + 1111)*(-3*n**3 - n**3 + 6*n**3).\nAnswer: 158*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 5*w + 3. Let i be (771\/514)\/(((-18)\/(-8))\/3). Suppose 0 = -3*n - 3 + 9. Let h be n*i\/((-20)\/(-25)). Determine p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108.8 + 106. Let o = 2.5 + s. Which is the third smallest value? (a) o (b) -1\/3 (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + -77. Which is the second smallest value? (a) 0 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1486 + -0.0514. Let i = -6.9 - -6. Let j = -2.5 - i. Which is the second biggest value? (a) j (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5457 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 204*x + 7950 = -16*x - 7100 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 4. Let w(m) = -2*m - 5. Let c be 5*(-1)\/(-2)*-2. Suppose 0 = x + u + 2*u - 9, 4*x + 3*u + 9 = 0. Determine c*w(f) + x*l(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 543479221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*k + 140, -2*b + 9 = 11. Calculate the remainder when 206 is divided by k.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2889 = 107*p + 321 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75314334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(300)*-2)**2 + sqrt(15)\/sqrt(45)).\nAnswer: sqrt(3)\/3 + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2774615*y**2 + 420816*y + 3 wrt y.\nAnswer: -5549230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/23 - 82*z\/23 - 84\/23 = 0. Calculate z.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120215114 (base 7) in base 9?\nAnswer: 15014028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/288 and 99\/128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-25\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.08 + 0.08. Let d = j + 3. Let x = -6 + 6.3. What is the closest to d in -3, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a factor of 23603620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11176 at most 11465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(448) - (0 + sqrt(448)))*-2 + sqrt(448) + sqrt(448) + sqrt(448)).\nAnswer: 5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/8 + 3*z**3\/2 - 3*z**2. What is the remainder when r(-7) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 576 - 572. Factor -260*t**u - 780 - 11701 + 53460*t - 19710*t**2 - 4325*t**3 + 166*t**5 - 16679 - 171*t**5.\nAnswer: -5*(t - 1)**2*(t + 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/9, -1261 in descending order.\nAnswer: 3, -1\/9, -1261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 673257432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (-18)\/(-27)*3 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71654477 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6028111 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-10)\/15) - (-3630 + -3). Let j be (-20)\/((-18)\/(-63) + n\/(-12754)). Round j to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -1. Let f be (2 - 3)\/((-3)\/(-21)). Does f = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.9 - -67. Is u greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(3\/(-1) - -4). Put 5, -5, b in ascending order.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 183. Let z(d) = 13*d**2. Give z(s(i)).\nAnswer: 13*i**2 - 4758*i + 435357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + g + 4. Let r(j) = j**2 + 2*j + 3. Let h(k) = 27*k**2 + 22*k - 2. Let a be h(-1). What is a*r(l) - 2*o(l)?\nAnswer: -l**2 + 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 8*g**2 + 11*g - 1. Let s be i(-5). Let t = s - 10. Calculate the greatest common factor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -257*i**3*z**3 + 3*i**2*z**3 + 24*i wrt i.\nAnswer: -1542*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/(((u**(2\/17)\/u)\/u)\/u))\/((u\/(u\/(u*(u**(-8)*u)\/u*u)))\/(u\/u**(-5\/3))) assuming u is positive.\nAnswer: u**(436\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111201121102 - 1200?\nAnswer: -20111201200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/68376 and -85\/11032.\nAnswer: 13470072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m + 17. Suppose -y = -3*y + 34. Let u(r) = 7*r + 6. Give y*u(f) - 6*h(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29368489201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*o = 147*o - 669*o + 866 - 14607 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-4)\/616). Suppose -4*o + 13 = -15. Calculate the highest common divisor of h and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -722.73 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 8*k**2 - 8*k - 9. Let z be n(9). Suppose 3*a - 15 = -2*i, -2*i - 6*a + 17 = -a. Let h be 38\/9 - 2\/9. Solve z = -5*m - h - i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 5, -0.150161, 12.\nAnswer: -3, -2, -0.150161, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 52*l - 227. What is j(7)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**3 - 502*o**2 + 174*o + 2098. What is q(-72)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(324) + sqrt(324)*1 + sqrt(324)) - (sqrt(65)*-2*2 + sqrt(65))\/sqrt(5))**2.\nAnswer: 87412\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.1 + -27.65. Let h = 105 - 111. Let m = h - i. Round m to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k - 44. Let w(p) = p + 11. Let q(z) = -2*d(z) - 6*w(z). What is q(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 - 15.6. Let m = o - -19.4. Put 3, 2, m in descending order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 0*d**2 - 7*d - 2 - 1 - d**2. Let i(h) = -h**2 - 7*h - 11. Let f(r) = -2*r**3 - 7*r**2 - 3*r - 6. Let b be f(-3). Let k be i(b). Determine w(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1137, -5, -4, 69, 0 in ascending order.\nAnswer: -5, -4, -3, 0, 4, 69, 1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 3*f - 2*z, 4*z + 50 = f - 0*f. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {r: 2, t: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 6:46 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 218 = 5*o, 0*o + 483 = 5*l + 3*o. Let s = -28 + l. Let f = 244 - s. List the prime factors of f.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 12*a**2 - 8*a + 23. Let t be m(-11). Let y be (-1 - (-2 - -4))*3. Calculate the least common multiple of (-132)\/y - t\/(-15) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/9 - 42274*z**3\/9 - 70444*z**2\/3 - 28176*z = 0.\nAnswer: -21132, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -340*r**3*x**4 - 4*r**3*x + 3*r*x**5 + x + 1 wrt x?\nAnswer: -4080*r**3*x**2 + 60*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, 1, 2\/3, 314\/125, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931056, 1862362, 2793670, 3724980?\nAnswer: 4656292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 10) in base 15?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21144087 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**4\/24 - 5*i**3\/2 - i**2 - 125*i. Suppose -5*j + 4 = -1, 2*a + 2*j = -16. What is q(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19382 - -19387. Solve 0 = -3*h + 2*k - 4, t*h - 57 + 73 = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/11, 1\/4, 2\/57?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.57*2.73.\nAnswer: -56.1561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 15*g. Suppose 2*k + 1148 = 4*a + 7*k, -3*a - 3*k + 858 = 0. Calculate the remainder when a is divided by t(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14231 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-121)\/44)\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18193*h**3*x**2 + 1193*h**3 - 18212*h**2*x**2 + h**2*x - 40*h**2 wrt h?\nAnswer: 109158*x**2 + 7158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-23)\/(-322)*2\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -3, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-8)\/340*-2*4\/24.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 33. Suppose 0 = 5*x - 2*p - 5, 2*p - 4*p + 22 = k*x. Solve -h = -0 + x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622537687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17373*q + 354805 = 14882*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 3, 5 in descending order.\nAnswer: 8, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1498825, -13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, w: 3, c: 1, o: 5}. What is prob of picking 2 l and 1 c?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5734525 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + -90. Solve -3*w - 5*n = w - v, 5*w = -n + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from {z: 1, j: 1, r: 3, a: 1, e: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.2, 2\/19, 0.07, 1\/4, 137183?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36436015039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -17*h + 8*h. Let n(b) be the second derivative of h + 2*b**2 + b**3 - 1\/20*b**5 + 2*b - 1\/3*b**4. What is n(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 - -37. Suppose -38*b + 3*b + z = 0. Solve 0 = -l + 2, -6*l + 2*l + 33 = b*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51348 and 3036?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*p = 4*f - 32, 2*p = 3*f - 7. Suppose 7*c = f*c. Let q(d) = c*d + 0*d - d + 1 + 1. Determine q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-236406)\/(-81344))\/((-3)\/(-32))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17234.535 rounded to the nearest ten?\nAnswer: 17230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2. Suppose -145 = -4*g - 33. Let i(k) = -4*k. Let d(j) = -35*j. Let v(n) = g*i(n) - 3*d(n). Determine c(v(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 255.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*110\/6600*(-1)\/2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3, -v + 4*k = -0*v - 12. Suppose 3*u - 9 = -u + z, v = 3*u - 3*z - 9. Suppose -c + 5 = -u. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 - 233. Is s*(1 + 11\/(55\/(-20))) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 1 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/47110 and -71\/10095?\nAnswer: 141330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - -0.58. What is the biggest value in 3, -1\/4, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + 2425998?\nAnswer: 24259ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*y - 199*y + 448*y - 131*y.\nAnswer: -183*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453838 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 91041.\nAnswer: -1001451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 35*v - 71. What is w(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-w - 2 + 2)*(-1 - 1 + 1) + (13 + 9*w - 27*w + 17*w)*(-3 + 0 + 1))*(1 - 1 - 2)*(-3 - 1 + 6) to l*w + c and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1660.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Let l = f + -0.5. Which is the second smallest value? (a) l (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d + 35*d + 33*d + 11*d.\nAnswer: 102*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 5*q + 3. Let w be j(5). Which is the second smallest value? (a) 34 (b) 4 (c) 0 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 61*j - 14. Let l(b) = 6*b**2 + 133*b + 30. Let q(g) = -6*l(g) - 13*z(g). Let y(v) = -3*v**2 + 5*v - 2. Give -2*q(p) - 3*y(p).\nAnswer: 3*p**2 - 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119 less than -18988?\nAnswer: -18987.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 20388?\nAnswer: 20388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kaaaxakakaaaakxaaky.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 41 = 5*q - 12, 0 = -4*s - q + 8. Suppose -3*r + 1464 = s*r. List the prime factors of r.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 12441?\nAnswer: -149292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -3, -46, -7\/4, 5\/6 in descending order.\nAnswer: 5\/6, -3\/4, -7\/4, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 1300, 2, -6, 1 in increasing order.\nAnswer: -6, 1, 2, 34, 1300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/3 - o**4\/3 - 25*o**3\/3 + 37*o**2\/3 + 20*o = 0. Calculate o.\nAnswer: -5, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 20101\nAnswer: -60303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2 + (-6 - -6). Let d(t) = 80*t - 1. Let j be d(y). Let b = -49 - j. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6aa - 53?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -227, -343, -457?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -99*m**3 + m**2 + m + 1. What are the prime factors of k(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/(-352)*2\/(-20).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13984800 rounded to the nearest 100000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 4. Let u = -5 - k. Solve 4*q + 8 = 5*q - d, -u*d + 11 = 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 - 3*t + 5. Let h be x(-4). Let r = 3\/143 + -599\/1287. Suppose -6*o - 1168 = -1168. What is the second biggest value in h, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h - 12. Let p(u) be the third derivative of -u**4\/24 + 7*u**3\/6 + u**2. Determine p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 2*b. Let l(i) = -61*i**3 + 60*i. Give l(s) - 6*n(s).\nAnswer: -73*s**3 + 72*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 7*q + 76. Let k(d) = 45*d**2 + 13 + d + d**3 - 10*d - q*d**2. Let c be k(-10). Round c to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/32 - -137\/96. Factor -a + 2*y - 2\/3*y**2.\nAnswer: -2*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -321.49 - -323. Round v to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -12*k**2 + 37*k + 3. Let t be o(3). Solve -t*n = 37 - 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104641 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*y - 136 = 0, 0 = 2*n + 4*y - 9 + 73. Let p = 171 - n. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8282, 33165, 74614, 132629, 207210, 298357, 406070?\n\"Answer: 8283*d**2 + 34*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/3919 - -3811\/105813. Calculate the common denominator of 67\/1134 and w.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5627363.\nAnswer: 7, 19, 29, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 11*q - 25. Solve q*c + 0*c = 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1615901347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + 4. Suppose 7*h + 4 = 9*h. Let r(f) be the second derivative of f**3\/3 - 3*f**2\/2 + 12*f. What is h*j(v) + 3*r(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -13. Let q be 1*(v - 3 - 2). Suppose 0*a - 3*j - 282 = -5*a, q*a - 120 = 3*j. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5429.244355 to the nearest one hundred.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 - 2*s**2 + 3*s + 15. Give u(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 3*p + 7. Give z(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -4394.\nAnswer: 4397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101101111011100 (base 2) to base 6\nAnswer: 300512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - ((-5 - -53) + -62) - -13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779186967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 30 = 5. Suppose 0 = x*t - 5, c + 21 = 4*c - 3*t. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 101*n**2 + 103*n - 303. Determine b(100).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1520 and 96.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 12\/18*5457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 9*w + 10. Let i be v(-8). Suppose -c - i*c = -36. What is the lowest common multiple of c and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -20, -0.8, -0.2, 2\/47, -0.02?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 676*h**2 - 74*h**2 + 794*h**2 + 2413*h**2.\nAnswer: 3809*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, -2, 0.3, -2556.6, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 8 + 2. Let n = v + 15. Solve 9 = -7*g + 4*g - n*p, -p = 3*g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.38 + -1.18. Let z = s + 69.8. Let l = -70 + z. Sort -1, l, 0.05 in decreasing order.\nAnswer: l, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*26\/(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 - 4*q**2 - 3*q**2)*(-3*q + 4*q - 3*q) + ((2*q + 0 + 0)*(-2 + 0 + 0) + 4*q - q - 5*q - 3*q + 5*q + q - 2*q + 2*q - q)*(q**2 - q**2 + q**2).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = 4*t + 4, -3*t - 30 = -3*b. Let g(j) = -j**3 + 6*j**2 + j + 2. What is g(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 18*f**3 - 4*f**3 + 4*f + 0*f**2 - 5*f. Let p be a(-1). List the prime factors of (-12)\/5*(-70)\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by 11.\nAnswer: -173\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846129?\nAnswer: 1846129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -490626315*a**2 + 346079599*a wrt a?\nAnswer: -981252630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbbjjbbjbjjbobobo. Give prob of picking 1 o and 2 j.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, u: 2, w: 2}. What is prob of picking 2 p and 1 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:46 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/35 - 402\/(-210)) + -2. Put -1, h, -4, -0.3 in increasing order.\nAnswer: -4, -1, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0*k**6 + 0*k**7 - 1\/3*k**4 - 31*k + 0*k**3 + 0*k**2 + 0*k**5 + 0 + 17\/28*k**8. What is the third derivative of d(y) wrt y?\nAnswer: 4080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*-5*((5*(sqrt(539) - (sqrt(539) + 1)) - sqrt(539)) + 0 + sqrt(539) + -4 - (sqrt(539) + -2 + 4)*-2))**2.\nAnswer: -3500*sqrt(11) + 54527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2832560864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24, 0, -1, 3, -689228 in descending order.\nAnswer: 3, 2, 0, -1, -24, -689228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1327703 and 131651?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1227*v**2 + 5*v + 3. Let d(q) = -12*q**2 - q - 1. What is 5*d(p) + i(p)?\nAnswer: -1287*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-5))\/(-12)*-12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.02, -9570, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/7 - 14559*m\/7 - 884340\/7.\nAnswer: 3*(m - 4913)*(m + 60)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*1\/((-1)\/(-5)). Suppose -3*p + l*p = 5*m - 21, 0 = p - 5*m + 23. Suppose -3*b + 190 = p*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11218705.\nAnswer: 5, 2243741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r = 36 + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/9, 0.5, 1\/14, 0, 1\/3, 176?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 4 - (-5 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/2743 - 249637\/21944. Let r = -1059\/920 + 3\/115. Calculate the common denominator of r and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 1, h: 5}. Give prob of sequence hooh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-15)\/(-9))*-12. Suppose 2*c = c + 4*d + 501, -2*c = -x*d - 994. Suppose -2*m + m = -c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 405.51 + -406.01. Let y = 8\/5 + -7\/5. Put k, 5\/4, y, 1\/3 in increasing order.\nAnswer: k, y, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -264 - 45066?\nAnswer: -45352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 0.2, 0.4, -3\/4.\nAnswer: -3\/4, -6\/13, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000895934 rounded to five decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*(c*c**(-3\/5)*c)\/c)\/c*c)*c**(-6)*c)\/(c**2)**12)\/(c*(((c\/(c*c**(1\/7)*c))\/c)\/c)\/c*c*c*c*c*c**(8\/3))**19 assuming c is positive.\nAnswer: c**(-10117\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 59. Which is the third smallest value? (a) -1\/5 (b) n (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/30 - 43*y**4\/24 - 8*y**3\/3 + 54*y**2. Calculate the remainder when s(-20) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -2535003240?\nAnswer: -2535003242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5212 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 164 = 194 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.7 (b) -5 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 636496 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3508, -5577, -7646, -9715, -11784?\n\"Answer: -2069*y - 1439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + 2 - 20*m - 6*m**2 + 20*m in the form j*m + a*m**2 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 8 = -22. Let p(i) be the second derivative of i**3\/6 - 3*i**2\/2 - 3*i. Let c(o) = -2*o + 4. Calculate k*p(x) - 4*c(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 7 - 2 = -5*m, -m = -4*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313412 and 4255372.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.181488g?\nAnswer: 1181488000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*n = 56, -4*b - n + 43 = -0*b. Let k(f) = -15*f - 231. Let j be k(-16). Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -813 in 4, -1\/19, 1\/5, -0.03?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*l = -11*l + 9435. Solve 0 = 23*i - 60*i - l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.2 + 7. Let u = -0.7 - g. What is the closest to 0.1 in -0.4, u, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151.95609 months to millennia.\nAnswer: 0.0126630075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aao when three letters picked without replacement from aoaoaaaaoaaoooao.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15) + 12\/((-660)\/(-1463)). Solve n*x - 16 = 35*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2983890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 78*p + 1098 = 100*p. Let h(y) be the second derivative of y + 0*y**2 - 1\/6*y**3 + 0. What is h(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315886940 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 16*f - 9*f - 3454*f**3.\nAnswer: -3454*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -17, -0.012, 21\/4, -3?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268966900949\/24445455001 + 6710781\/443266. Let y = w + -3\/10027. Find the common denominator of y and (-42)\/(-32) + (-1)\/(-4).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -51. Suppose -16*a = -11*a + q. Put 0, a, 4, -3 in increasing order.\nAnswer: -3, a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25428057 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -67*q + 2353. Give z(34).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 6) + 1*4. Let p = l - 1. Solve -p*v + 6 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.73 - -272.27. Let x = o + 587. Let m = x - 862.00842. What is m rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24174332?\nAnswer: 2, 7, 13, 66413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581414 (base 10) in base 12?\nAnswer: a45a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 273955 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k**3)*(2*k - 2*k + 2*k**2)*(2 + 6 + 1).\nAnswer: 36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 (base 7) in base 11?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v + 33*v - 14*v - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 821*z - 2*z**2 - 809*z - 23*z**3 - 3*z**4 + 0*z**2 + 24*z**3 to the form r*z**4 + w + t*z + i*z**2 + s*z**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044036838 minus 5?\nAnswer: -1044036843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*-1*(-70)\/(-112)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.2 and -12290255?\nAnswer: 12290261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/37 (b) -3 (c) -1\/3 (d) 0.032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 167 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 2240.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67056 and 6468?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5))**2 + 0 + (sqrt(156)*-2)\/sqrt(12).\nAnswer: -2*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 13*v - 68. Calculate the remainder when 754 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 5*m. Let n be i(5). Let o(s) = -s + 14. Let g be o(10). Suppose g*l + 0*l = 16. Solve 4*p - 4*y - 12 = n, 3*y = -4*p - l - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1 + 1 + 5*k - 2 + 2*k**2 + 15. Let u(w) = w**2 + 3*w + 9. Let j(r) = 5*c(r) - 7*u(r). Determine j(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 39*m**2 - 79*m - 82. What is i(-37)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/15 + (-16)\/10. Let p be ((-28)\/8 + 3)*0. Let m = d - p. Which is smaller: m or -4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1560001 + 100?\nAnswer: 1560101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 31 - 17 = 0. Let h = 48 - 18. What is the smallest common multiple of h and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1.77.\nAnswer: 5.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m - 5*l + 2 = 0, -3*l - 6 = 0. Suppose -o + m = 1. Let q be ((-6)\/o)\/(1 - 2). Solve -i + 12 = -q*j, -i = 2*j + i + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:10 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 2*3*(-38)\/171*-36.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 68*c + 4143. Determine q(-64).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4315895 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 - -286. Solve -x + k = -3*j, 2*j + 2*j + x = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 - (-3093 + 1))\/(60\/60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-6)*4\/3. Suppose 0 = -n - d + 4. Let h(m) = -m**3 - m**2 + 4*m + 64. Let g be h(4). Solve n*y - 3*x - x + 4 = g, 4*x = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 6367 (c) 2\/5 (d) 1 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 8, 0.4, -0.48?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 17. Let w be 323 - (-32)\/24*6. Let k = -347 + w. Calculate o(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 38 = 19*l + 9*l - 5*i, -15*i = l + 44 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 50. Is (-6)\/2 + -3 + h + 5445 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316 - 320. Let q(y) = -149*y - 74. List the prime factors of q(l).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(42) + sqrt(42))\/(-2*sqrt(6)*4)*-1.\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112610 + 10?\nAnswer: 112620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*i - 264*i - 143*i + 664*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -155, -288, -461, -668, -903, -1160?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = t - 2, 36 = 5*t + 4*p. Calculate the remainder when 23 is divided by ((-13)\/(-2))\/(t\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j - 171. What is c(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115204 divided by 678.\nAnswer: 57602\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10573 divide 1031639329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0162 - 0.016. Round w to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -533 + 549. Let m(s) = 16*s - 3 + 2 - x*s - 4*s. Let o(f) = 2*f + 1. Calculate 3*m(l) + 5*o(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.383 + 0.083. What is the fourth biggest value in 0, 1\/8, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s + 10. Let c = 8 - 5. Suppose 5*r - 2*r = -9, 2*u - 5*r = 15. Put u, s, c in ascending order.\nAnswer: u, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -6 (c) 0.4 (d) 3\/2 (e) -0.5 (f) 1\/4188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1275*j. Let t(f) = -55*f. Calculate c(t(r)).\nAnswer: 70125*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 - 2*l**2 + 146 - 4*l**4 + l + 101 - 5 + 2*l in the form c*l**2 + s + u*l**4 + p*l + i*l**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddvmtdvt. Give prob of sequence dmvd.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23784157 * -2.\nAnswer: 47568314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, i: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1803017 <= -1803019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)*-3 - 1\/1. Let c(r) = 29 + 0*r**y + 10*r - r**2 - 11 - 21. Give c(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 6*w - 6. Let u be g(-8). Suppose -5*y + 3 + 18 = 4*k, 0 = 2*y - 3*k + u. Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 1, q: 1}. What is prob of picking 1 r and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2811\/7714 + 4\/551. Is o greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3812446, -3812611, -3812774, -3812935, -3813094, -3813251, -3813406?\nAnswer: -3813559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 15 = 2*q, -5*q - 5*x + 21 = -34. Suppose 5*p - q = -0. What is the second derivative of 2 - 2*o - o**5 - p wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by -1804.\nAnswer: -91\/1804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.346 plus 0.1021767?\nAnswer: 0.4481767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 6) + -1 + 12. Solve n + 13 = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**2 + 50*t + 32*t + 11*t - 10*t**3 - 716 + 4*t**2 + 718 to g + l*t**3 + h*t + x*t**2 and give h.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1129*n**2 - n + 1 + 1158*n**2 - 3*n - n**3 - 4*n as r*n**2 + i*n**3 + f*n + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/6 - (-10)\/20. Let v be -48 + (-4)\/8*g. Which is smaller: v or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/7236 and -139\/7236.\nAnswer: 7236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 42\/11 (c) -3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 681 or 2\/85?\nAnswer: 681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 - 142500*s + 1015312500 = 0. What is s?\nAnswer: 14250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 2*x**2 - 33*x + 68. Let w be j(2). Suppose 0 = 4*m - 5*k + 79, 5*m = 2*k + k - 102. Let d = 29 + m. Solve -4*b + w*b - d = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x**2 + 18*x - 23. Let g(n) = 9*n**2 - 14*n + 21. Let h(a) = -6*g(a) - 5*v(a). Calculate h(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152 - -268. Let r = u - 83. Let x be ((-165)\/(-10))\/(1\/10). Calculate the highest common factor of r and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1552, -1553, -1556, -1561, -1568, -1577, -1588?\n\"Answer: -v**2 + 2*v - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 116 = 5*b, 3*p + 37 = -3*b - 20 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (sqrt(112) + 1*sqrt(112))**2)*-3 - (4 + (sqrt(7) + -1)**2 + 0).\nAnswer: -10*sqrt(7) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) - 385\/(-20) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 283580.2 kilograms?\nAnswer: 283580200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(0 + 0 - f**3) + 0*f - f**3 + 0*f + (-3*f + 3*f + 3*f)*(-f**2 + 4*f**2 - f**2).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 159d8 - 492?\nAnswer: 15546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*r**2 + 5 + 180*r**2 - 5 - 91*r**2.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 13 + -5 + -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 169?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-4)*1\/((-20)\/2064). Let o = c - 96. What is the remainder when o is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {j: 3, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 33. Suppose q = 4*a + 2*s - 5, -a = -2*s - 9. Suppose -a*g = -7*g + 8. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 339 = -2271. Let r be 5\/(5\/d) + -2. Let x = 11006\/21 + r. Put x, 2\/5, 0.5 in ascending order.\nAnswer: x, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20423 (base 5) in base 2?\nAnswer: 10101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 21*s**2 - 46*s - 190. Let k be c(-4). Suppose 3*z + 4*f - 30 = 69, -2*z + 3*f = -66. Calculate the highest common factor of k and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -101*p**6\/30 + p**3\/2 + 143*p**2 + p - 965. Find the second derivative of r(y) wrt y.\nAnswer: -1212*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -11*t - 432. Let a = 58 + t. Solve -5*y + 12 = h, 0*h + 5*y = a*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8272*i**3 + 95*i**2 - 94*i. Is 17 a factor of n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 251 = 152 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*u + 260*u - 13 = 3*b, u + 5*b = -29. Put -5, u, 596 in decreasing order.\nAnswer: 596, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2517 divided by 84678.\nAnswer: 839\/28226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -55375 (base 12) in base 10?\nAnswer: -112841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 3. Let d be ((-702)\/(-36))\/(6\/28). Let h = d + -94. Let u(f) = -8 + 0*f - 4*f**2 + 0*f. Calculate h*u(v) + 8*s(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 430.8217046 - 4253.5197556. Let p = -3784.69805194 - d. Let b = -38 + p. What is b rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46743450?\nAnswer: 2, 3, 5, 13, 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(117)*-1)**2 + 4 + 3)*-1*4.\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.152738687 to 3 decimal places.\nAnswer: -0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -286 + 314. What is the lowest common multiple of 40 and u?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Let d = s - 4. Suppose -71 = -3*o + t, d = 4*o + t + 2*t - 73. What is the remainder when 42 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 2376.\nAnswer: -37\/792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i**2 - 44280*i - 29536 = 0. Calculate i.\nAnswer: -2\/3, 3692\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v*v\/(v**1\/v*v))\/(v**(-1\/15)\/(v\/v**8*v))*(v\/v**(-2\/3))**(9\/7)*((v\/v**(2\/7))\/v)\/(v*v**(-3)\/v) assuming v is positive.\nAnswer: v**(-743\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Let k(d) be the first derivative of 0*d**3 + s + 1\/15*d**6 + 0*d**4 + 2\/25*d**5 + 0*d + 0*d**2. Find a, given that k(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {d: 1, l: 1, n: 2, t: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6111 and 1629891?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/2)*v*v*v**(-1)*v\/v**(-3)*v\/v**(3\/5)*(v**(-1)\/v)**(1\/12)*v\/(v*(v*v\/(v\/v**(-1))*v)\/v*v)*v\/v**(-1) assuming v is positive.\nAnswer: v**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least 64251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 20 + 128 = 0. Suppose 0 = -162*w + 148*w + 42. What is the second derivative of -7*k**w - q*k**2 + 54*k**2 + 19*k wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1.00000043. What is a rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.402246805 rounded to 3 dps?\nAnswer: -0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 48*q + 8. List the prime factors of v(-23).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 69943383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 198587, 198598, 198617, 198644, 198679, 198722?\n\"Answer: 4*i**2 - i + 198584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 146, 128, 94, 38, -46, -164, -322?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11955360, -11955363, -11955366?\n\"Answer: -3*p - 11955357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260897?\nAnswer: 7, 13, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*s - 1385 - 35*s + 1387.\nAnswer: 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 14, u: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 19\/4 of a microsecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 205?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*n - n. Suppose 0 = -4*h - n*c + 52, 2*h + 3*c + 0 = 24. What is the remainder when h is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -483?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230897, 231206, 231515, 231824?\nAnswer: 232133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 5\/((-5)\/(-2))*(-224448)\/(-128)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.4236l in millilitres?\nAnswer: 746423.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10293, 4, 0, 2, 7, -1 in ascending order.\nAnswer: -1, 0, 2, 4, 7, 10293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3134*d - 3. Let z(h) = 7*h. Give z(n(l)).\nAnswer: -21938*l - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 0.9 (c) -8 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 110063431.8 seconds?\nAnswer: 181.9831875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6797 + -6744. Calculate the remainder when 66 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84145*m - 3238*m**3 - 2*m**2 + 84145*m - 2 in the form s + h*m**3 + q*m + z*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 22*u = -21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2233, -4447, -6661?\nAnswer: -8875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 3 + 3 + (-2 - 3 - 10)*(5*a - 3*a + a).\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2)\/(-8)*2. Let r be 1*(0 - 0)\/t. Let n(z) = z**2 - 11*z + 14. Let q be n(10). Solve q*l + 16 = -r*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z - 8627 = 3919. Let o = 260 + z. Solve -6*r + 2*r + 3*t = -o, 4*t = 4*r - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 1888 = 16*p. What is the greatest common divisor of p and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspppsiisssssvpipi. Give prob of picking 1 i and 1 s.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -29. Let d be 10\/4*(-8)\/w. Suppose -12 = d*p - 46. Calculate the remainder when 49 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15356444.\nAnswer: 2, 101, 38011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9694*b - 9686*b - 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/360 + j**4\/24 + 3*j**2. Let v(u) be the second derivative of f(u). Let t(n) = -2*n. What is t(v(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -131*a - 345. Determine i(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 3035058.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 3) to base 2\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 + 4*p - 14. Let q be w(5). Let r = q - -123. What is the highest common divisor of r and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/52 and 13\/256?\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 4) to base 2.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 3. Let w be v(-3). What is the greatest common factor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 348.\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 1\/((4\/(-9))\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2104022003 - 1?\nAnswer: -2104022004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/12 + (-64)\/(-96). Let j(f) be the first derivative of 1\/3*f**3 + 2*f + 3*f**2 - 4. Calculate j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7269*x + 283491. What is b(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 + 69*t**2 - 9*t**2)*(75*t**3 - 3*t**3 + 55*t**3).\nAnswer: 6731*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 28*x = 224. Let d be x\/(-24)*(-20)\/16. Which is the third biggest value? (a) -3 (b) d (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10954 + 27908. What are the prime factors of f?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose 0 = o*a + 3*a + 20. List the prime factors of 9\/(a\/((-32)\/6)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 27559640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6921 - 6922. Put -0.032, h, 0.24 in increasing order.\nAnswer: h, -0.032, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4897 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 + 41496680*d - 124490004 = 0.\nAnswer: 3, 10374167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96 - 2*h**2 + 3610*h**4 - 3585*h**4 + 47 to the form x*h + b*h**3 + s*h**4 + a + t*h**2 and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 167181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 3 + 3 + (11 - 14 - 6)*(10*w - 4*w - 9*w) + 2*w + w - 4*w + (-1 + 2*w + 1)*(0 + 2 - 3) + 3*w - 2*w + 0*w + 2 - 6*w + 3*w + w.\nAnswer: 25*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x. Let w = -20 - -22. Let j(l) be the third derivative of 0 + 0*l**3 - 2*l**w + 0*l - 1\/24*l**4. Calculate j(i(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59936764?\nAnswer: 2, 17, 31, 28433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*m = -117*m + 129*m - 4340 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2158 is divided by 1194.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 18 = -2*y. Let r(i) = i**2 + 8*i + 14. Let t be r(y). Sort -1, 1, t in ascending order.\nAnswer: -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-5) - (-4)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 90142.54 kilometers?\nAnswer: 90142540000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/42240*30 - (-178)\/1312\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -2)\/(9\/12). Let o be (-1)\/(-2) - 218\/f. What is the common denominator of -41\/12 and (2\/4)\/(o\/(-75))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 6. Let h(i) = -i**2 + 19*i + 19. Let z(r) = 2*r**2 - 39*r - 38. Let l(u) = -13*h(u) - 6*z(u). Let b be l(14). Give q(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7516 - 8?\nAnswer: 750a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + 50 + (-1 - -13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (203\/(-58))\/(28\/(-280)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51254943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2, -24172\/23?\nAnswer: -24172\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 845209 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 622 + -622. Suppose 8*c - 1890 - 1702 = u. What are the prime factors of c?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3307, 3306, 3305, 3304?\n\"Answer: -z + 3308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2070 = 5*m - 8*v, 0 = 2*m + v + 816. Let s = -235 - m. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 + 1546*a - 120 - 1101*a to the form y + r*a and give r.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s**3 - 8*s**2 - 6*s - 5. What is d(-3)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**4 - f + 0 + 3 - 1 - 8 to x*f**2 + b*f + k*f**3 + z + d*f**4 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1800)\/sqrt(6).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ac2ea (base 15) in base 5?\nAnswer: 120004140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 1127709?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 582457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 8*t**2 - 2*t - 7. Let p be u(-8). Suppose 8*i = p*i - 3. Suppose -i*o + 39 = 3*j, 2*j = -2*o + 4*o + 38. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*o = -4452 + 1763, -2*o = r - 1344. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 = 2*y + 4, -2*y = -2. Let n(m) = -84 + 176 - 798*m - 88 + 793*m. Let b(s) = -s + 1. Determine u*b(x) - n(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 7*b**2 - b - 5. Let m be i(-7). Let p(z) = -2 - 2*z - 12 + 4. Let g be p(-6). Solve -10 = -m*s + 5*a, 2*s + a = 5*s - g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 387*54\nAnswer: 20898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 52*f + 5. Let g(l) be the third derivative of -l**4\/8 + 21*l**2 + 3*l + 3. What is y(g(a))?\nAnswer: -156*a + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 4, 118600.\nAnswer: 3\/8, 4, 118600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 10*b\/3.\nAnswer: -2*b*(b - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9224 by -2.\nAnswer: -4612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3808 - 1.380854448. What is p rounded to seven dps?\nAnswer: -0.0000544","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23202 - -29926. Is l a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42275628 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-1 - 2*sqrt(224))\/(-4*(sqrt(448) - (sqrt(448) - (sqrt(448) + sqrt(448)*-1)) - sqrt(448))).\nAnswer: -5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101101 (base 2) to base 10\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 92+-2.53002511\nAnswer: 89.46997489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*t**5 - 4*t**4 - 15*t**2 - 59 wrt t?\nAnswer: 16080*t**2 - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-84) - 1 - (-64)\/14. Let h(s) = -5*s + 1. Let w be (-1)\/(-3) - (-44)\/(-6). Let t(d) = -11*d + 3. Let g(l) = w*h(l) + 3*t(l). Determine g(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -36*2\/8*-2. Suppose y = 3*w - 36. Suppose -f - 80 = -6*f. What is the least common multiple of f and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (9 - 9) + 2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375478 by 375478.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*a**2 + 71*a**3 - 515*a**2.\nAnswer: 71*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -346, -4, -5\/4, -0.3, -0.03 in descending order.\nAnswer: -0.03, -0.3, -5\/4, -4, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*g - 4, g = 2 + 2. Suppose v + s = 3*v. Find the third derivative of -11*q**6 + 11*q**6 + v*q**2 - 2*q**6 wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8304 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: In base 7, what is -3 + 215?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073888408 to three decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -422381 divided by 3?\nAnswer: -422381\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-953815)\/(-210)*7 - (0 - (-2)\/(-12)).\nAnswer: 2, 3, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - ((-2 - 8) + -31 + (-8 - -6)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 + -535152?\nAnswer: -535121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**7 - 29*s**3\/6 - 27*s + 27. Let l(g) be the first derivative of r(g). Find the second derivative of l(y) wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-10) - 1802\/(-170). Factor -360 + 2*j**3 + 6*j - p*j**2 + 2*j**4 + 360.\nAnswer: 2*j*(j - 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 4. Let v be r(5). Suppose -v = -y - 4. Let o = 7 - 9. What is the closest to o in y, -3\/2, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -31. Let n be ((-7)\/3 + z)*(2 + -2). What is the tens digit of (-44 - n)\/(34\/(-10) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 65*w**3 + 7*w**2 + 33*w + 18. Let m(h) = 58*h**3 + 8*h**2 + 34*h + 20. Let l(c) = -9*m(c) + 8*z(c). Find a, given that l(a) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.7? (a) -0.03 (b) 0.2 (c) 0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 574777.8695 and 0.103.\nAnswer: 574777.9725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 1354 = 5*r + 1348, 3*i + 4*r + 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 3 (c) -4 (d) -2\/17 (e) 248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -102.79 and -0.615?\nAnswer: 63.21585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 506, 572, 684, 848, 1070?\n\"Answer: a**3 + 17*a**2 + 8*a + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -1\/2, 0.03, -0.2, 7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6 + 22 - v - 2 - 7. Let r be k(5). Find the third derivative of 6*h + 21*h**r - 6*h**3 - 6*h - 5*h**2 wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -30, -29, -28, -27?\n\"Answer: i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81160 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.7 - -91.7. Let b = a + -83.9921. What is b rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 175178*t**2 - 700688*t + 700680.\nAnswer: -2*(t - 87585)*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4900, -2, 11?\nAnswer: 4900","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3)*y)\/y*y\/(y\/(y**(1\/2)\/y)))\/(y**(6\/7)*y*y**(4\/3)) assuming y is positive.\nAnswer: y**(-47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 144385903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6485*b - 10046?\nAnswer: -6485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = 40*c + 15*c + 4*c + 3*p - 353, 3*p + 7 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:07 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 39*b**3 + 158*b**2 + b - 9. What is d(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -77163.2?\nAnswer: 77163.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.4363185 microseconds to days.\nAnswer: 0.00000000017866109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:31 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -656, -679, -728, -815, -952, -1151, -1424, -1783?\nAnswer: -2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*-1*(732 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0.11, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 smaller than 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 4*h**2 + 6*h - 2. Let n be m(5). Suppose 4*p - y = 15 - 6, -n*y = p - 12. Solve 0*k + 0*k**2 + 0 - 2\/7*k**p = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/43? (a) -9 (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1236\/(-16) - (-6)\/(-8). Let h be (-2)\/(-10) + w\/(-10) + 4. What is the second derivative of -4*z**4 - 15*z**4 + z - h*z wrt z?\nAnswer: -228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + ((2*sqrt(190) - sqrt(190))\/sqrt(5))\/(4*(sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(2)))).\nAnswer: -4 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i - 9*i - 11*i + 3*i)*(0*i**3 - 2*i**3 + i**3 + (-72*i**2 - 42*i**2 + 79*i**2)*(-3*i + 5 - 5)) to o*i**2 + s*i**4 + c + u*i + v*i**3 and give s.\nAnswer: -2392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4 - 30*k**3 - 3943*k**2 + 274331*k?\nAnswer: 24*k**2 - 180*k - 7886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 + 38*o - 13. Let f(h) = 8*h**2 + 41*h - 13. Calculate -4*f(g) + 5*r(g).\nAnswer: -2*g**2 + 26*g - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:22 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1260, 1871, 3006, 4761, 7232, 10515, 14706?\n\"Answer: 16*j**3 + 166*j**2 + j + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52172 - 32281. Does 46 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**5 + 254*o**4 - 306*o**4 - o**5)*(0 - 2 + 3)*(6 - 6 + 7) + 11*o**5 + 15*o**5 + 21*o**3 - 25*o**5.\nAnswer: 8*o**5 - 364*o**4 + 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 23*j - 41 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:44 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -38*a**2 - 2*a + 1. Let b be h(1). Let v be 5\/b*(-4)\/10. Is v at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1 - 2 + 2*f - 5. Let p = -318 + 313. Let a be 9\/((-10)\/(-40) + p\/(-4)). Calculate c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2249039, 4498079, 6747119?\n\"Answer: 2249040*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 325544796 - 325544837 + 3*w**2.\nAnswer: -2*w**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127305248 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2366*c**3 + 59 + 19*c + 82 - 19*c - 141.\nAnswer: 2366*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*o - 18*o + 159*o + 204*o to v + m*o and give m.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28690 is divided by 1263?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153215?\nAnswer: 5, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1421617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8194341 minutes in seconds?\nAnswer: 49.166046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 94511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -36*f + 1877. Let d be c(45). Solve -d*l + 258*l = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -26. Let u be (-13416)\/n - 7*(-6)\/(-231). Calculate the remainder when u\/(-8) + (-12)\/48 + 1 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4\/3, -2, 1, -4, 24.24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 4*j + 100 = 0, -2*m - 88 = -j. Let v be 3*(56\/m - (-1 + -1)). Factor -6\/13 - 4\/13*k + 2\/13*k**v.\nAnswer: 2*(k - 3)*(k + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 11. Let s(r) = -11*r + 44. Let c(a) = 9*j(a) + 2*s(a). Let t be c(6). Solve 4*g + 5*f + 23 = 0, 5*g + 3*f = -0 - t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 25747289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5 = -2*t, 1 - 3 = -2*h. Suppose -2*f - 33 = -t*f. Solve a - 26 = 5*d, -a + 0*a + f = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.31 - 0.09. Let s be 20\/40 + (-21)\/6. Put s, l, -0.2 in increasing order.\nAnswer: s, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/121 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447153.\nAnswer: 3, 7, 107, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29973 and -35?\nAnswer: 10.49055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*b = 24, 0 = 5*d - 10*d + 3*b + 34. Let q(v) = -11 + 1 - 2*v**2 - d*v**2 + 5 + 11*v + v**3. Does 20 divide q(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 11*j**2 + 11*j - 8. Let i be s(10). Differentiate -3 + 6*o**2 - 4*o**2 - 2*o**i - 6*o**4 wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {j: 1, s: 1, r: 2, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11 = 0, 3*z - 7 = -4*t + 4*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*u**2 + 8 - 3*u - 67*u**2 + 4 + 135*u**2 to x + k*u + w*u**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, b: 3}. Give prob of picking 2 b and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*(-6)\/(-60*1). Which is the closest to 2\/5? (a) -3 (b) r (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9031\/10 + -891. Let n be (-6)\/15 + (-79967)\/(-20880). Let s = -2\/261 - n. What is the common denominator of s and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, t: 5}. Give prob of picking 1 o and 2 t.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 12. Let l be m(-7). Suppose 3*a + 8 = 2*c, l*c - 7 = a + 5. Is 4 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from mwyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8))**(-49)*(f**(1\/2))**1 assuming f is positive.\nAnswer: f**(785\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from ewhhyehxhyheyh.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51 - -0.1. Let o = 0.4 + g. Let k = o - -0.01224. What is k rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 266 + -416. Let g be 4\/(-2)*j\/20. Let f be 24\/g + (-8)\/(-20). Solve f*i - 3*i + 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896 = -3*k - 2*k - 836 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 5\/6, 42?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 296, 553, 832, 1145, 1504, 1921?\n\"Answer: 2*y**3 - y**2 + 246*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d0cb (base 16) to base 4.\nAnswer: -1331003023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30233996 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 9*r**2 + 2*r - 5. Let k be o(-7). Let y = k - 50. Let b = y - -85. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -31 + v - 34 + 85. Let l be d(-20). Suppose 13*r + 179 - 1934 = l. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -5. Suppose -24 = -5*o + 2*o. Let j(k) = k**3 + 10*k**2 - 3*k - 26. Let a be j(-10). Solve -3*m - m - o = -a*v, 2*m = v - r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x + 5*c + 2341, 586 = x - 2*c. Suppose 0 = 16*i - 20*i + x. List the prime factors of i.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 307 in -448, -3, 0.2, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 3*g**2 - 2*g**4)*(g - g - 4*g).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r - 2. Suppose 3*l - 5 = 2*k, -11*l = -10*l - k - 1. Let y(m) = -l*m - 215 + 431 - 218. What is -2*s(p) + 3*y(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 749115 and 11439?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-11 + 2) - 11 - (-42 + 29).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1022 and 252?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 2*w**2 + 2*w. Let n be g(-3). Let l be (108\/(-81))\/(1 + (-19)\/15). Solve 22 + n = -l*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-13)*r*r*r)\/(r**6\/r))\/(r**(-22)*r*r**(10\/9)\/r))**(4\/11) assuming r is positive.\nAnswer: r**(212\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 5. Let o(a) = 0 + 1 + 4 - 3 + 2*a. Determine 2*d(b) - 5*o(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39923116, 79846220, 119769324, 159692428?\n\"Answer: 39923104*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10 - (-10)\/((-350)\/287).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8239*k**2 + 8239*k**2 + 76*k**3 + (-3*k**2 + 3*k**2 + 2*k**2)*(-k - 2*k + 4*k).\nAnswer: 78*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 400?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) 40 (c) 2 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 700*k**3 + 1. What is the tens digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxw when three letters picked without replacement from kxw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 5 - 5)*(2 + 1 + 0) - 2804 + 2804 - 107*m.\nAnswer: -110*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27494, 109953, 247384, 439787, 687162, 989509?\nAnswer: 1346828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, d: 7}. What is prob of sequence ddd?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**2 + 7*r. Let w(y) = -6*y + y**2 - y**2 - 5*y**2 + 0*y**2. Let j(k) = -6*l(k) - 7*w(k). Let h(q) = q**2. Calculate j(h(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/4)\/1*(-16)\/(-10). Solve 0 = -0*s + 2*s + z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (1 + sqrt(567)*-2)**2 - (-1*sqrt(567))**2*3) + -1.\nAnswer: -3971 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -15, -31, -53, -81, -115?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.241 - -0.059. Which is the smallest value? (a) n (b) 5 (c) 4\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -10, 5, 12 in decreasing order.\nAnswer: 12, 5, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g - 56. What is the smallest common multiple of 8 and c(20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/8 + 47. Factor r(p).\nAnswer: p**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 19}. What is prob of sequence ui?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22900, -91881, -206848, -367801, -574740, -827665, -1126576?\nAnswer: -1471473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 692 and 0.013?\nAnswer: 8.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 46 = -4*n, -24747*w + 24752*w = -4 + 9 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j + 1. Let z be 2\/8 + 65\/(-52). Give o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 - 9*y - 7. Let v be d(-6). Let t = v + 21. Let h = 22 + t. Calculate the remainder when 70 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196\/589 - 56\/31. Let h = 46\/57 + v. Which is the closest to -1? (a) h (b) 0.03 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -55131 divided by 256?\nAnswer: -55131\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-2 - 11\/9). Let v = o + 52\/9. Is -1 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372\/54 - (2\/6 + (-69)\/(-9))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v**3 + 6*v**2 - 2*v - 1. Let b be d(3). Suppose 0 = -b*t + 621*t - 427. Is t a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95532*h*v**3 + 2*h*v**2 + 20*h*v - 2*v**3 - 7*v**2 - 124804*v wrt v.\nAnswer: -573192*h*v + 4*h - 12*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 - 81. Let u = h + -74. Let m(q) = -3*q. Determine m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17031647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4988 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 7745.\nAnswer: 7745.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 651*f**5\/20 + 78*f**4 - 520*f. What is the third derivative of n(a) wrt a?\nAnswer: 3906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 3}. Give prob of sequence yee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 16366*w + 147314. Calculate k(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3))**16)**(34\/5) assuming c is positive.\nAnswer: c**(-1632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1 + 3 + 1 - 117*o - 5. Let j(p) = 2*p. What is j(v(f))?\nAnswer: -234*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3}. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 2 - (-9 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - 34*b**2 - 21*b - 19. Suppose 2*o - 36 = 3*n - n, -4*n = 3*o - 68. Is g(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -80) + (-18)\/3. Let l(u) = u + d - 22 - 25 - 27. Let q(o) = o. Determine q(l(g)).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*n - 547*n**2 - 192*n - 137*n - 405*n**2.\nAnswer: -952*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-6)*(-2385)\/60. Let v = -50 - q. Calculate the greatest common factor of 140 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11971337*q. Let l(t) = 2*t + 54. What is l(g(y))?\nAnswer: -23942674*y + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/9 and 5\/4851.\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-159)\/(-39) + (-7)\/91. Suppose 2*t = -k*n + 778, 0 = 35*n - 30*n + 5*t - 970. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -817, 2, -2, -1, 10.\nAnswer: -817, -4, -2, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = -1348*i - 87965 - 125303 + 43796 for i.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 286\/73?\nAnswer: 286\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m + 18. Suppose 33*o = -25*o. What is q(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17837.\nAnswer: 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (166\/(-18) + (-6)\/(-27))\/(12\/12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -260*a*g**2 - 20813*a - 4*g**2 - 10*g + 63895 with respect to a.\nAnswer: -260*g**2 - 20813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a)**(-6\/11)*(a\/(a**10*a))\/(a**(-6)\/a) assuming a is positive.\nAnswer: a**(-93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -258362504039 less than 0.86?\nAnswer: 258362504039.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -36*i - 59. Let u = 19 + -21. Calculate the remainder when 57 is divided by g(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-48) - 2044\/(-1752)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 26 = -5*u + 4*v, 2*u + 24 = v. Let i = 45\/4 + u. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r - r**2 + r)*(0*r + 3*r - 6*r).\nAnswer: 3*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3198)\/13)\/((-7)\/(63\/(-54)))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2850 + 3058 + 10743*t**3 + 622 with respect to t.\nAnswer: 32229*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004730478 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1473355 and 6175.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -8.89. Let z = -1.89 + k. Let b = -3 + 3. What is the nearest to b in z, -1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 - (4 + -1) - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1005 + -964. Suppose 2*t - 2*c - 17 - 15 = 0, -2*t + 32 = -4*c. What is the third derivative of 41*y + 2*y**2 - t*y**5 - r*y wrt y?\nAnswer: -960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f + 25. Let d be b(-3). What is the greatest common divisor of d and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 94. Is -3 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 3*x**5\/10 - 7*x**4\/12 + 7*x**3\/6 - x**2\/2 + 104*x. List the prime factors of f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 285*i + 309. Give f(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-11)\/((-308)\/336).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 4 = 2*q. Let b = 74 - q. Let w = b + -36. Calculate the smallest common multiple of 10 and w.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -56, 368, -9 in descending order.\nAnswer: 368, -4, -9, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9173 - 5932. Suppose -5*o = r - 2*r - 23, 2*r + 10 = -2*o. Is g\/28 + 6\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141.3106008 + -142.3106. Let t = z + 1. Round t to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - 2. Let v = -2.3 - d. Which is the smallest value? (a) 0 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*b**2 - 15*b**2 - 280*b + 280*b.\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.64. Let u = -18 + 17.9392. Let o = u + p. What is o rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1513*z**3 - 1480*z**3 + 5969*z**3 - 1540*z**3 - 1502*z**3.\nAnswer: -66*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(95)*2)\/sqrt(5) + (sqrt(19) - (sqrt(76) - sqrt(19))*-4) - ((sqrt(19) + 1)*-1 - (sqrt(684) - -4*sqrt(684) - sqrt(684))))**2.\nAnswer: 64*sqrt(19) + 19452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9565 - 9564.899984. Let v = d - 0.1. Round v to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7774767 - 127.7768927. Let v = -126 - i. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 32010235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 461659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, b: 1, q: 1, w: 2, c: 2}. What is prob of picking 1 b, 1 q, and 1 c?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.45 - 1.44. Let v = z + -0.11. Let x = -2 + 3. Put x, v, 0 in ascending order.\nAnswer: v, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 17*c**2 + 2*c + 1. Let s be z(-3). Let n = s + -104. Suppose n - 14 = 5*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: Factor 4582\/3*h + 2\/3*h**2 + 0.\nAnswer: 2*h*(h + 2291)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 83aa + -8?\nAnswer: 83a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 673596 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -2*z**3\/15 - 62*z**2\/5 + 816*z\/5 - 1110. Factor i(g).\nAnswer: -2*(g - 6)*(g + 68)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + 1 + (34 - 29)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 - 43*n**4 + 8*n**3 - 2155*n**2 wrt n?\nAnswer: -60*n**2 - 1032*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104975234 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92311*g**4 + 3*g**3 + 7*g + 373067?\nAnswer: 1107732*g**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x**2 - 22*x + 26. Give u(6).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 1:29 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 divided by -1?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l + 114. Determine q(18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1211 + 3559. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1073327, -1, -2 in decreasing order.\nAnswer: -1, -2, -1073327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 2, f: 5, q: 6, c: 1, a: 5}. Give prob of picking 1 m, 2 q, and 1 r.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 20*m + 20. Suppose -3*w = -3*p + 5*p - 8, w = 5*p - 20. Let h be (15\/(-6) - -2)*p. Sort m, 1, h.\nAnswer: h, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -223 in 0.3, 0.2, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/20)\/((-9)\/((-180)\/(-16)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuppuuu.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + 0*i**2 + 3*i**2)*(20 - 61 + 10 - 56) to the form m + v*i + c*i**2 and give c.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -834909 - 2.4002\nAnswer: -834911.4002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(768) - 2*sqrt(768) - sqrt(768)) + sqrt(768) - sqrt(12))\/(-2*sqrt(6)*-5 - sqrt(6)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 26*w**3 + 2*w - 4. Let i(a) = 25*a**3 + 2*a - 3. What is 4*i(t) - 3*z(t)?\nAnswer: 22*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 66 + (23 - 137) + -15\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.029 - -0.029. Let j = -29 - g. Sort -2, j, -0.18 in descending order.\nAnswer: j, -0.18, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from jxhxcclcc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21104102 - -1551?\nAnswer: -21102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from sayhdta.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 186419. Let h(f) = 63*f**2. Determine i(h(t)).\nAnswer: 126*t**2 + 186419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose 0*a - 18 = -a - 3*p, -a = 5*p - 16. Solve -2*d - 3 - 2 = -l, -o*d = 3*l + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -321557\/194 + 3315\/2. Is 3\/70 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65082.056 to the nearest 10.\nAnswer: -65080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 5:27 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36706220, 36706216, 36706210, 36706202, 36706192, 36706180?\nAnswer: 36706166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.95 (c) 102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -15*g**3 - 11*g**2 - 9*g + 475. Let n(t) = -3*t**3 - 2*t**2 - t + 95. Let l(z) = -2*k(z) + 11*n(z). Differentiate l(d) wrt d.\nAnswer: -9*d**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -36\/11 (b) -640 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiildiizi. What is prob of sequence il?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 31*o = -1935. What is the highest common factor of o and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 826, -295, -3418, -8543, -15670?\n\"Answer: -1001*t**2 + 1882*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22 (b) -0.2513 (c) 0.2 (d) 0.064 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8485924 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 15*y**2 - 97*y - 21. What is the hundreds digit of c(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = -3*c - 5, -4*n = -c - 12. Suppose v - n*x + 19 = 0, -2*x = -2*v + 2 - 24. What are the prime factors of (-63)\/v*(-2)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - y = 3*y - 332, 0 = -3*k - 3*y + 198. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 - 129*y**2 - 4*y + 172. Let w be h(43). Solve -6*p + p = w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 times -2582?\nAnswer: -1368460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y. Let i(u) = 15*u + 3. Let k be i(2). Suppose -j - s = -5*j + k, 5*j = -2*s + 25. Suppose -j = -2*r - 3*q, -r - 3*q - q + 11 = 0. Give l(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Suppose v = -y - 0*y + 13. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/7? (a) 0 (b) 0.1 (c) 0.47 (d) -0.2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/18 - 2353\/(-117). Solve -4*j + a = r, -4*j = -5*r + 3 + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t + 2*u - 4, 5*u = -t + 12. Let f be 130\/10 - (0 + 3). Let s = -10 + f. Sort 5, 15, t, s in descending order.\nAnswer: 15, 5, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -320243.7491 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605\/26314 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(84)*2 - sqrt(84)))\/((sqrt(84) - (3*sqrt(84) - sqrt(84)))\/sqrt(7))*-1)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11901967?\nAnswer: 7, 11, 154571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22785002 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of (-4)\/6 + 0 + (-14910)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*c - 264, -419 + 68 = -4*c + 3*p. Let w(x) = -x + 1. Let g be w(-5). Suppose g = -3*k + 36. What is the greatest common divisor of k and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17510 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29555 is divided by 9768?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 - 6*a. Let w be l(6). Suppose 18 = -3*c - c - 5*u, -2*c + 5*u = -6. Let q be -3 - (c + 1) - -4. Solve -q = n - w*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 4. Let n(q) = 2*q + 5. Let p(x) = 2*n(x) + 3*u(x). Give p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-7 + (2 - 4) - (-20 - -3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t + 3. Let w be r(-5). Suppose w = 4*a - 0*a. Solve -3*b - a = 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 + 106. Suppose -27031 = -t*r - 4081. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7464719 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2792920 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 9*t - t)*(0 + 2 - 3) to the form h + c*t and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*((-560)\/(-21))\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 82. Suppose -31 = h*i - 0*o + 4*o, 1 = 3*i - 4*o. Which is the second biggest value? (a) 2 (b) -1 (c) i (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 266602*c**3*n - 3*c**2*n - 961*c**2 - 2*c + 18 wrt c.\nAnswer: 1599612*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2821966, -2821965, -2821962, -2821957?\nAnswer: -2821950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 39*t**2 + 3*t + 4. Let k be c(-3). Suppose 25*b - b = -37*b + 5246. Suppose -k = -9*x + b. What is the remainder when x is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171505307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*r + 3*v - 5, 3*v + 21 = 5*r. Determine g so that 4*g**3 - 5 + r*g**2 + 4*g**4 - 4*g**2 - 15*g**2 + 1 + 14*g - 2*g**5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(168) - (1*sqrt(168) + sqrt(168)))\/sqrt(3))\/(((sqrt(200) - (sqrt(200) + 3*sqrt(200))) + sqrt(200))*-4).\nAnswer: -3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, g: 1, t: 1, v: 1, a: 1, f: 1}. What is prob of picking 1 v, 1 g, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u**4 - 5*u**3 - 55*u**2 + 306. Let w(j) = 13*j**4 + 7*j**3 + 82*j**2 - 460. Let i(q) = -7*f(q) - 5*w(q). Find the first derivative of i(p) wrt p.\nAnswer: -8*p**3 - 50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17363829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 109\/3. Let c(t) be the first derivative of -5\/2*t**2 - 3 - l*t**3 - 2*t. Give c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4*b. Let f be l(-4). Suppose f*s + 5*s - 510 = 0. Let c be 3\/15 - (-2 + s\/10). Sort 4, c, 5 in descending order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-132)\/9 + 1\/(-3). Let t = -30 - l. Let q be 4\/(2*(-3)\/t). Solve -n + q = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 15*k + 21. Let r be n(-13). List the prime factors of (-16)\/(-40) - 313\/r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-5) + (-5)\/((-175)\/212583). Suppose -4*u = t - 4856, -u = 4*u + 2*t - h. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = 4, 4*d + w + 35 = 0. Suppose 3*o + 10 = 34. Calculate the least common multiple of o and d*(1 + 0)*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.591 + 1.59. Let y = -30 + 30.085. Let i = h - y. Round i to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = -3*h + 18, -3*h - 18 = -2*x. Suppose x*l = -466 - 380. Round l to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(10\/9)*l)*l*l*(l*l**(2\/39))\/l)\/(l\/(l**(-1\/4)\/l*l)*l**(-8\/3)))**(-11) assuming l is positive.\nAnswer: l**(-12133\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + m = 4*b - 25, -b = 2*m - 16. Let c(y) = y**3 + 7*y**2 + 2*y + 20. Is 20 a factor of c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 3688\/(-112) - 3 - 14.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1*(2 + sqrt(147))**2 - sqrt(147)) + (sqrt(147) + 3*1*sqrt(147))**2 + sqrt(147) + -2)*6 + 5)*4.\nAnswer: -105532 + 1344*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -18234?\nAnswer: -10\/9117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -1\/21*z**3 + 3\/7*z + 4 - 1\/7*z**2. Factor w(u).\nAnswer: -(u - 1)*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -9. Let t = 2\/31 - 97\/62. Sort 0.2, g, t in increasing order.\nAnswer: t, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21434 - 210?\nAnswer: -22144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o - 8. Let r(s) = s. What is q(z) + 2*r(z)?\nAnswer: -5*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (288003 - 2)*1 - -3. Let g be 1 + h\/2 + -3. Suppose 2*x = -0*x + g. What is x rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*p + 2*s - 4*s, -2*p = 3*s + 6. Let t(n) be the third derivative of 8*n**2 + 0*n + n**3 - 1\/3*n**4 + p + 1\/30*n**5. Determine h so that t(h) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Suppose -3*a = -3*r - 15 + 48, t*r + a - 7 = 0. Let j be 2883\/r - 2\/4. Round j to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3684*l + 60336. Determine m(-17).\nAnswer: -2292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4668 + 2*t + 2352 + 2316.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-230)\/48)\/((-33)\/(-22)) and -5\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 32. Suppose -g*y + 2*y - 92 = 0. Let d = 182 + y. What is the greatest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 29 = -0*g. Let c = g + 106. Let v be 2\/(-4)*(-140)\/10. What is the highest common divisor of c and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m. Let o(c) = -39*c. Let n(a) = 5*o(a) + 24*z(a). Let h(q) = 32*q + 1. Let x(t) = 488*t + 16. Let b(k) = -16*h(k) + x(k). Calculate b(n(p)).\nAnswer: 72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 15402169 = 4807801. Suppose -11*v - 178683 = -m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -41, -91, -161, -251, -361?\n\"Answer: -10*h**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -112606477843?\nAnswer: -112606477857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by -123*(5 + (-64)\/12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2331214 (base 8) to base 13.\nAnswer: -193371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2816 + -2820. Let i = 0.04 + -0.14. Which is the closest to -4? (a) -1 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1755840 and 14455.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13922 + 0.1431.\nAnswer: 13922.1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71793638 divided by 142.\nAnswer: 505589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(-7 + 4 - 94) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2, -267, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6514 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 31*h + 23. What is y(12)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259771 (base 11) to base 3.\nAnswer: 202201221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-4 + -1) + 2. Let g(o) = 10*o - b*o + 3 - 2 + 16*o. Let q(y) = y**2. What is g(q(c))?\nAnswer: 17*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71187443 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15643605 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*((-3)\/5 + 1). Let o = 4 - 2. Suppose 2*h + 2*s + 6 = -v, -o*h + 4*s = -22. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 170864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a - 705 = 26*a - 22*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200534827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**6)\/f**0)**(-1\/37) assuming f is positive.\nAnswer: f**(-7\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2367 and 24958.\nAnswer: 59075586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89735 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217749 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10502.\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**4\/12 - z**3\/3 + 3*z**2\/2 + 9*z. Let o be f(-5). Let r be 33\/(-6) - -4 - (-74)\/o. Which is smaller: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164.2 - 134. Let o = 14977.0831 + -15007.3. Let d = o + l. What is d rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -998900 rounded to the nearest ten thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -23*h + 1958. Let l = 202 + h. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - 1 - (-63)\/(-4) and 1414\/(-18)*(-84)\/392.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4468*x**3 + 4466*x**3 + 4470*x**3 - 22223*x**3 + 4360*x**3 + 4470*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/2)*r)**13*(r\/((r**8*r)\/r))\/(r\/(r**(-8)*r))*r\/(r*r**(2\/3))*r\/r**(-7)*r**(1\/5)\/r**0 assuming r is positive.\nAnswer: r**(751\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 14*i - 5. What is the second derivative of 50*r**2 + i*r**3 - 50*r**2 + 6*r wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172\/(-4) - (-49)\/((-1764)\/(-360)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -2*k + 12. Suppose -c = 4*w - 5*c - 140, 0 = 5*w + 4*c - k. Suppose 0 = 3*l - 4*l + w. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.86 - -9.86. What is the third biggest value in 0, 4, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10192*-3712.\nAnswer: -37832704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, -17, -55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**2*z + 500*r**2 + r*z**3 wrt z.\nAnswer: -2*r**2 + 3*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 - 7*j - 2. Let s be 5*(0 - (-3)\/6)*2. Let f(g) = -3*g**2 - 3*g - 1. Determine s*f(h) - 2*b(h).\nAnswer: -3*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, x: 9}. Give prob of picking 1 n and 3 x.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/72 + -1)\/(3\/(-15)). Factor 2\/3*y + 2\/9*y**2 - q.\nAnswer: 2*(y - 2)*(y + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8647, -17634, -26621, -35608, -44595, -53582?\n\"Answer: -8987*q + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 50. Suppose 5*c = f, -2*a - 30 = -3*a - 5*c. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 2*y**2 - 5*y**2 + (-2 - 5*y - 8 + 4*y)*(-y + 83 - 83) + (5*y - y - 2*y)*(y - 2*y - y).\nAnswer: -7*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 = 50. Let k = -67 - x. Sort k, 0, 3, 1 in descending order.\nAnswer: 3, 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5838734619 less than -0.8?\nAnswer: -5838734619.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19668 at least as big as 19668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/(v\/(v*v\/v**13*v)))*v)\/v)*(v\/((v**(-26)\/v*v)\/v))\/v*v*v**(-41)*(v\/(v\/((((v\/(v\/(v*v**0*v)))\/v)\/v)\/v)))\/v)**(2\/71) assuming v is positive.\nAnswer: v**(-50\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + c = 475, -3*f - 201*c + 273 = -198*c. What is the least common multiple of 48 and f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 60077, 60078, 60079, 60080?\n\"Answer: z + 60076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-7) - (-12)\/(-28). What is the closest to -0.03 in d, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 + -0.6. What is the nearest to 0 in a, 1\/9, -1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 460*k**2 + 5735*k + 6762. Differentiate m(g) wrt g.\nAnswer: 920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-20) - (-53)\/((-2385)\/(-18))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-2 - -5)) + 3 - 313. Let n = q - -527. What is the highest common factor of 27 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14519, 14404, 14285, 14162, 14035, 13904, 13769?\nAnswer: 13630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104696 = 13*z - 36*z + 62606. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*f + 72150022, 2*f - 3 = 3*f. Suppose -9391790 - 14658218 = -5*l - 4*y, y = -3*l + w. Round l to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from frforrrpr?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3451*d + 167 = 3381*d - 5153 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.3, 1, 101?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = -2*w, -2*p - 4*w + 2 = -10. Suppose p = 3*k + 2*b + 4, 5*k - 5*b = k + 33. List the prime factors of 3 + (1 - -19) + k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-4)*-1 + 625\/(-57) + 8272\/(-235752).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1720, -3463, -5172, -6829, -8416, -9915, -11308, -12577?\nAnswer: -13704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6 + 2 - 15*l + 4. Let b(v) = -3*v + 8. Let s = 133 - 130. Let c(g) = 2*g - 6. Let r(x) = s*b(x) + 4*c(x). Calculate r(o(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 4) + (3 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -1\/3*k**3 + 0*k**2 + 21*k + 12 + 0*k**4 + 0*k**5 - 2*k**6. Find the third derivative of w(y) wrt y.\nAnswer: -720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + 70*f - 39. Let v be i(29). What is the lowest common multiple of (-1)\/(7\/v) + -4 and 2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 22. Let n = i + 7.5. Let g = 2.608 + n. Round g to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6361241 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiyhhyyyiyyyihihyyhy. Give prob of sequence iiii.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000021 + -1?\nAnswer: 11000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 6. Let c be (-140)\/(-18) - n\/72. Let y be 36\/c*2 + -4. Solve -y*h - 11 = -5*o + 4*o, 3*o = h + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 - 1197830*x**2 + 71726657500*x + 1578566267960 = 0. What is x?\nAnswer: -22, 119794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**4*a*a**(1\/3))\/(a\/(a*(a**(-1\/3)*a)\/a)*a*(a**6*a*a)\/a))**16)**(-23\/5) assuming a is positive.\nAnswer: a**(1104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53677, 107561, 161445, 215329?\n\"Answer: 53884*k - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8)**(-18)*t**12*t\/((t\/t**(-4)*t)\/t) assuming t is positive.\nAnswer: t**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 3*u**2 - 3*u - 10. Let k be 1\/(-3) - (-42)\/(-9). Let x be d(k). Round x to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 455 - 312. Find the common denominator of 35\/18 and 1794\/176 + 26\/c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325860 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y**2. Suppose 667 = 14*p - 215. Let d(a) = -p*a + 59*a + 12*a. Give m(d(o)).\nAnswer: -576*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30184 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 522 or -2\/5?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1 - (-1)\/2). Suppose -3*a + 8*m = 3*m - 25, 4*m + 20 = x*a. Let p(d) = d + d**3 + 3 + a*d**3 - 5*d - 3*d**2 + 0*d**3. Give p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 6*z - 1. What is the units digit of k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 + 39 - 14)*(4*p + p - 3 - 7*p) in the form w*p + m and give w.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*12\/99.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1570? (a) 4 (b) -0.12 (c) -1\/53 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t. Let g(n) = -37*n**2 + 17*n + 17. Let s(y) = 12*y**2 - 6*y - 6. Let f(v) = -6*g(v) - 17*s(v). Determine f(m(p)).\nAnswer: 162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -22774.7 = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 - 15*x - 20. Give n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*s = -359 - 136 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 9248.\nAnswer: 9248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233486797*r**3 + 158067513.\nAnswer: -700460391*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/3140 and -9\/3140?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 2)*(4*h - 3*h + 0*h)*((1 + 0 - 3)*(-3 + 0 + 1) + 0 + 4 - 6).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7908 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Let m = y - -1. Does 6 divide m + 1\/(3\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**14)\/k*k**(2\/35))\/(k*k**16*(k\/(k*k*k\/(k**(-1)*k)*k))\/k) assuming k is positive.\nAnswer: k**(-943\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 less than 2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (84\/(-18))\/(4\/(-258)). Let l = w + -174. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 2*sqrt(468))*-5)**2 - (sqrt(468) + 3*(-1 + sqrt(468))) - ((-2*sqrt(13)*-1 + 0)**2 + -3).\nAnswer: -24*sqrt(13) + 105254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3 + (-2 + 1 + 3)*(0 - 5 + 4))*(l + 1 - 1)*(3 + 0 - 5).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:32 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-7)*(-368)\/1656.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 238.1 and 21.\nAnswer: 5000.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.419 + -0.419. Which is the closest to -2\/3? (a) -0.3 (b) 1 (c) l (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - h + 3 - 1 = 0, 2*u - h + 2 = 0. Suppose 7*s - 14 + 0 = u. Suppose -2*w + 113 = 2*i + i, -s*i + 2*w + 72 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((3040\/57)\/32)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*a**3*c**2 - a**3*c*t**3 + 2*a**2*c**2*t**3 - a**2*c + 5*a*t wrt a.\nAnswer: 204*c**2 - 6*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.5 (c) -0.086 (d) -1062\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -381 times 0.3\nAnswer: -114.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 1540?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 177, -2, -1, -0.3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/132 and -115\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*v + 9*v - 1907 = 0, 5*v = w - 1947. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*f + 4 - 11 + 13*f - 3*f - f + 2*f + (0 + 2 - 3)*(-f + f + f).\nAnswer: -5*f - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 4452?\nAnswer: -4447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36512.\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*r + 95*r - 439*r + 102*r.\nAnswer: -475*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p + 55. Let z be (4 - p\/10)\/(9\/(-24)). Solve -5*h + 40 = -4*f, f = -z*h + h + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 2*z**2 - 18 + 40*z - 26*z. What are the prime factors of a(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**2 - 65*z + 173. What is the units digit of o(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, y: 5, a: 2}. Give prob of picking 2 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (6\/(-3))\/((-21)\/105) and 218.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -468, 4 in decreasing order.\nAnswer: 4, 1, 0, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4074*m**3 - 34*m**2 - 6*m + 17. Let g(s) = -679*s**3 + 6*s**2 + s - 3. Determine 34*g(k) + 6*w(k).\nAnswer: 1358*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -31. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3 = 3*j - 2*n, 2*j + 5 = -5*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27454818 a multiple of 1240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.63 minus -18?\nAnswer: 24.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 5*c + 2*c + 1)*(-c - 4 + 4 + 0*c + c - 2*c + (-2*c - c + c)*(-2 - 3 + 3) - c + 0*c + 2*c) to the form x*c + o + z*c**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 31, -0.2, 100, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74 and -6.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -23. Let p(t) = t**3 + t - 8. What is p(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 0)*(-30 + 18 + 14)*(-16 - 7 + 9)*(1 - 1 + 2*i) to the form t + r*i and give r.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - u**4 + 4*u**5 + u**4 + 19*u**2 - 19*u**2 - 10*u**5 + (4*u**4 + 0*u**4 - 2*u**4)*(-3*u + u + u).\nAnswer: -8*u**5 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 34634?\nAnswer: 380974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274004 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*-30\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 32. Suppose -4*k + 3*k = q. List the prime factors of ((-2)\/k)\/(12\/684).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4028750 to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*y = -53, 4*o + 1056*y = 2111*y - 1060*y - 73 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -829, 76, 2495, 7172, 14851, 26276, 42191?\nAnswer: 63340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/120 - 17*s**5\/60 + 13*s**4\/12 - 13*s**3\/3 + 11*s**2. What is the units digit of l(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 127\/38 - 1\/2. Let s = -524\/171 + x. Let u be (3\/(-2))\/(-3) - 0. What is the closest to u in s, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 323083 - 29723333\/92. Let r be (-12 - -8) + (2 - (-70)\/23). Let l = r - g. Is -1 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*h = 95 - 155, 6*w = h + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1230*w - 2465*w - 16*w**2 - 4*w**2 - 4*w**2 + 1234*w - 22*w**3 to l*w + r + c*w**2 + a*w**3 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 5. Let b(t) = z*t - 3*t - 3*t. Let h(p) = -12*p. Determine h(b(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 24 = 40. Suppose -x*p + 7400 = -17156. Suppose 14*z - 7*z - p = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3245 is divided by 1610?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86037*j**2 + 86112*j**2 - 172148*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2034 divided by -2.\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69007452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10649*k - 7. Let h(o) = 10647*o + 6. Determine -6*h(d) - 5*z(d).\nAnswer: -10637*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372212 is divided by 339.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7411*c + 22238*c + 23*c**2 - 4*c**2 - 7416*c - 7415*c.\nAnswer: 19*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 2 + 0 + 3 - 2 + (-6 + 2 + 2)*(-2 + 2 + 1))*(52*n - 2*n**2 - 893 - 885 + 1781) to the form w + p*n + t*n**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/3)\/((-2)\/(-24)). Suppose -6*x + r = -0*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 14) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007434 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: What is the greatest common factor of 614519 and 113146?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -19. What is the closest to 7 in 2\/3, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 0*u - 7 + 1\/2*u**2. Let b(j) = -5*j**2. Determine z(b(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 16 = 2*m, -3*z + 8*m - 12*m + 40 = 0. Suppose -2865 = -z*t + 191. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**2. Let g(n) = 7*n**2. Calculate g(c(j)).\nAnswer: 567*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -15*y + 5. Let m be t(5). Let u be 18\/(-16) + 1 + 36990\/(-528). Let w = m - u. Which is the nearest to 1? (a) -5 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 32 = -23*t + 13*t, 6*t + 13 + 13 = 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2175\/4, 0, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13000)\/477750)\/((-10)\/21)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4194*c - 8456*c - 21*c**2 + 57*c**2 + 4262*c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w**2 - 2*w + 3 - w**3 - 5*w - w - 4*w. Let v be g(12). Suppose -i - z = -5*i + 947, -5*i = v*z - 1205. List the prime factors of i.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*k + 97*k - 480*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:38 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/63)\/(((-12)\/9)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -15*r + 0*r**2 + 0 - 5\/6*r**3. Give c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and 10?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 13 + 17 = 0. What is r rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) - (2259\/15)\/(-3). Let g = -40 + s. Suppose -6*c - 77200 = -g*c. What is c rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/7 + 276*a**3\/7 + 704*a**2 = 0.\nAnswer: -16, 0, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 + 112.999943. Round p to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101995 divided by 20399.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 776, 1553, 2334, 3119, 3908, 4701, 5498?\n\"Answer: 2*s**2 + 771*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 6. Let d(m) = -2*m + 3. Let f(o) = 5*d(o) + 3*z(o). Let n be f(9). Let i = 3 + n. What is the remainder when 35 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 2*a + 121 - 49 - 50, -3*a = 4*l + 132 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -425 - -420. What is the remainder when 53 is divided by x - (-7 + 0 - (15 - 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 a when three letters picked without replacement from aafssmasamamaaaaaas.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -6\/7 (b) 0.5 (c) 1.87 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 67475 and 8212.\nAnswer: 75687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3936 = -10*m - 3926, 5 = 5*m - 4*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, -85, -584, -1633, -3418?\nAnswer: -6125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32247496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.71.\nAnswer: 2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)\/(n\/n**2))\/(n**3\/n)**32 assuming n is positive.\nAnswer: n**(-505\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 3*n + 9)*(-2*n - n + 5*n) + 21*n + 14*n - 31*n**2 - 35*n as o*n**2 + i*n + b and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, s: 2, j: 4, t: 4}. Give prob of sequence tt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65583699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - c**2 + c + 1. Suppose 4*x + 160 = -4*q, -3*q + 3*x + 2*x - 80 = 0. What is the least common multiple of n(0) and (154\/q)\/((-6)\/15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:55 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**3*q**2 + 5*l**3*q - 2*l**2*q**2 - 2*l*q**2 - 8*l*q - 3*q**2 wrt l.\nAnswer: -18*l*q**2 + 30*l*q - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330 + 2314*m - 1116*m**4 - 330 - 1585*m wrt m?\nAnswer: -13392*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let h(x) = x**2 + x. Let j(f) = 36*f**2 + 48*f. Let y = -20 - -19. Let w(c) = y*j(c) + 48*h(c). Calculate k(w(m)).\nAnswer: 144*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 342*r - 391*r - 343 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x*x)**21\/((x*x**(7\/3))\/(x\/(x\/x**(1\/8)))))**(-12\/13) assuming x is positive.\nAnswer: x**(581\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by -124606\nAnswer: 135\/124606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 44526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 304 - 213. Let a = 95 - j. Solve 10 = a*t + 2*s, 0*s - 16 = -5*t + s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43.879 times -1.6\nAnswer: 70.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 222758219, 222758220, 222758221, 222758222, 222758223, 222758224?\n\"Answer: l + 222758218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539422752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297273.\nAnswer: 3, 197, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12035998000 rounded to the nearest 1000000?\nAnswer: -12036000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 71 = -2*a, 0*a = -5*u - 4*a + 77. What is the remainder when 76 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 2*r = 56. Sort r, -1, -5, 3 in decreasing order.\nAnswer: 3, -1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15434080 divided by 8\nAnswer: 1929260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t**2 - 2*t + 2*t + 37*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*p**2 + 9 + 125*p**2 + 16)*(0 + 2 - 1).\nAnswer: p**2 + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464292 times -0.5?\nAnswer: -1232146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.3 + 47. What is the second biggest value in -17, j, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 8)\/((-84)\/(-10)). Let d = p - -1\/6. Put -1, 0.9, d in increasing order.\nAnswer: -1, d, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3461354 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.8117579 milliseconds?\nAnswer: 0.0008117579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16947714 by 8473857.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 16, 15, 10, 1?\n\"Answer: -2*y**2 + 9*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 2*n + 8. Let u be 3 - (4\/18 + 9673\/(-153)). Let i = -61 + u. What is x(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (241 + -234)*((-1998)\/154 - 12\/(-22))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/((-4)\/(-29)) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3 + 1 + 0 + 2 + 2 + 1 - 1 + (5 - 3 - 4)*(-3 - 2 + 7) + 1 - 4 + 1 + 0 + 0 - 2)*((d - 4*d - 2*d)*(-6 + 2 - 16) + 1 - 1 + d).\nAnswer: -202*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 1:39 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31959 and 39527253?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 5*s = -10*h + 844, 0 = h - 5*s + 452. Which is smaller: -431 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 10*m + 6. Let t = 10 + m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*a - 93*a + 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 72 = -3*n. Let a(h) = -h + 6. Let r be a(n). Let b be ((-2)\/r)\/((-4)\/(-6)). Solve 3*c + b - 3 = -5*v, 3*v - 6 = 3*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48\/37 or -2?\nAnswer: -48\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*u**2 - 6*u**2 + 2*u**2)*(0*u + 0*u - 2*u) + 2*u**3 + u**3 + 0*u**3 - 3*u**2 + 2*u**3 - u + 3*u**2)*(38*u - 37*u + 18*u).\nAnswer: 133*u**4 - 19*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-38*(-596)\/31141)\/((-2)\/286)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 + -163. List the prime factors of (-16)\/((-352)\/55)*z\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rar when three letters picked without replacement from ymraar.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 330 = 2*y. Let m be (-3 - y\/(-6))*(-1)\/2. Suppose -2*n = -m*n + 685. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 18 = -2*j. Let c(o) = 3*o**2 - 30*o - 76. Let v(r) = 5*r**2 - 60*r - 150. Let l(i) = j*v(i) - 5*c(i). Factor l(m).\nAnswer: -5*(m - 8)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9 + (16 - 11) - -1495?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9528 + 21851. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (-89 - (-120 - 123)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 4. Let y be (-66)\/(-5)*(2 - x). Suppose -y = -0*d - 2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-2)*(11 - 9). Solve -5*b + 5*s + 10 + 0 = 0, s + v = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1128*g**2 + 373 - 412 + 72 + 537 + 1048 wrt g.\nAnswer: -2256*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0204498 - 1.2\nAnswer: -1.2204498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2708 (base 9) to base 5\nAnswer: 31113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**18\/g*g))*g*g)**17\/(g**(7\/8)*g**(-3)) assuming g is positive.\nAnswer: g**(2737\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1010243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*j = 230*j + 196154. Is 97 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3583\/15 + -239. Suppose -33 + 14 = 5*i + 3*o, 2*o + 12 = -3*i. What is the closest to -2 in t, -9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*c**2 + 37*c - 37*c + (-4*c + 0*c + 5*c)*(-1 + 1 + 2*c) - 2 + c**2 + 2 - 1 + 2*c**2 + 1 + (-c**2 - c**2 + 0*c**2)*(5 - 4 - 2).\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwfiiifiwwfiiwf. What is prob of sequence ffwf?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**7\/560 + j**6\/240 + 16*j**3\/3 - 16. Let i(d) be the third derivative of z(d). Factor i(y).\nAnswer: -3*y**2*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 0*f**3 + 36 - 76*f**2 - 3*f**3 + f**3 + f**3 - 27*f to k + m*f**2 + r*f**3 + s*f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*((sqrt(13) + 4*sqrt(13)*-6 - (-3 + sqrt(65)\/sqrt(5)))*2 + -2))**2.\nAnswer: -1536*sqrt(13) + 119872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, f: 6}. What is prob of sequence zffz?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11399360 divided by 112\nAnswer: 101780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2\/5 (c) -0.0678\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104451 + 90299 = 41*l. Suppose 6*i - 3*i - 4*r - 2827 = 0, 5*i = -r + l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11364968 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3713 (base 11) to base 8.\nAnswer: 11366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 5*(-2 - -3). List the prime factors of ((-3)\/1 - s) + 161.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + i**2 - 2*i**4 + 1 + 2*i**3 - 4*i**3 as v*i**2 + z*i + s + n*i**3 + y*i**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -319*o**3*w - 2*o**2*w + 221*o**2 wrt o.\nAnswer: -1914*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 42*l - 43. Let j be i(22). Let t(z) = -10 + 15 + z**3 + z**2 - 4 - 2*z. Let m be t(j). Solve 0 = a - 0*a + m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8, 166 = -3*r + 5*r + 5*h. Suppose -26*j + 10*j = -9552. Let n = -556 + j. Calculate the remainder when r is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -337*s**2 - 3*s - 1. Let i be p(-3). Let h = 5131 + i. Let a = -19022\/9 + h. What is the common denominator of 57\/8 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Does 14 divide (-2)\/(o + -2) + 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 508a + -79a6?\nAnswer: -2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Suppose -l - u*l - 56 = 0. Let k = l + 26. What is the greatest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(13)*-1).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34034841 and -4.\nAnswer: 34034837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/112)\/(3\/(-4)*1)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 205 = -7*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 15*s - 6 = 4*z, 3*s + 2*z - 9 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39986940 divided by -30?\nAnswer: 1332898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 5, 28 in descending order.\nAnswer: 28, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let i(u) = u + 1. Let s(h) = -6*h**2 - 3*h - 1. Let j(k) = -2*i(k) - s(k). Is j(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*m + 15 = -4*m + 6*m, 4*a - 9*m = -12*m - 56 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:17 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 48. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4104 divided by 108\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-85)\/5)*2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - k - 512 = -453, -613*k + 565 = -4*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)\/h)\/(h*h*h*h\/(h**2*h)*h*h*h)*h*h*(h**(-1\/6)\/h)\/h*h\/h**(1\/2)*((h**0*h)\/h*h\/(h**(2\/13)\/h*h)*h)**(2\/29) assuming h is positive.\nAnswer: h**(-23929\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert -5cb2b5 (base 15) to base 3.\nAnswer: -22100200102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035477815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/4)\/(-1))\/(1914\/5104)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27764740 to the nearest integer?\nAnswer: 5269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -15) + (13 - 25 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6238478 or -6238480?\nAnswer: -6238480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-94)*-2)\/(-154*(-99)\/5082)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*c + 1158069746 = 55*c + 4921359746. What is c rounded to the nearest one million?\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7824)\/(-48)*6\/2. Let u = o - 340. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811.815236us in weeks?\nAnswer: 0.00000000299572625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -294 - 536. Let q = x + 254. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 479 and 3?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = -6*n + 4*j - 237, 4*j - 6 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30404 + -5?\nAnswer: 30355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 0*l)*(1 - 4 + 5)*(0*l - 4*l + l) - 6*l**2 + 101*l**2 - 39*l**2.\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 262, -0.2, 3 in decreasing order.\nAnswer: 262, 5, 3, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19619, -40941, -63963, -88685, -115107, -143229, -173051?\n\"Answer: -850*c**2 - 18772*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250786001 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404926 is divided by 219.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218 and 8175.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4*1 - (2653\/476 - 2) and 17\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-35) + 768\/7. Let n(w) = w**3 + 3*w**2. Let j be n(-3). Let q = t - j. What is the highest common factor of 44 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*d = 53585210, 2*f - d + 8160696 = -18631906. Round f to the nearest one hundred thousand.\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1171+-4\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -78. Let b = a + -2.07. Let h = b + 1.06436. What is h rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 274 - 1921\/7. What is the common denominator of d and (-880)\/(-112) - 24\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 7 - -3) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 309667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 16*u + 112. Determine v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-2\/9)*h))**38\/(h**(1\/10))**(-37\/5))**34 assuming h is positive.\nAnswer: h**(70261\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 14) to base 5.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-12) - 27\/(-36). Suppose -l + 3 = -j. Let h(q) = 22*q**2 - 7*q + 7. List the prime factors of h(l).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8) + 60\/48. Which is the closest to n? (a) 5 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 720268*q**3*t + 4*q**2*t**3 + 25*q*t**2 - 7*q*t - 3*q + 22*t**3 + 7*t wrt q.\nAnswer: 4321608*q*t + 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*x**2*z**3 + 3*x**2*z**2 - 17*x**2 + 32*z**4 - z**2 + 6*z wrt z?\nAnswer: 360*x**2 + 768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.534675616 take away 12.1?\nAnswer: -116.634675616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -11, 27, 89, 181, 309?\n\"Answer: k**3 + 3*k**2 + 4*k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 7872*u**2 + 770950*u + 14385000.\nAnswer: 2*(u + 25)*(u + 75)*(u + 3836)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 40*f + 46. What is the closest to -2 in 5, -0.04, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 0. Let r be (-32)\/(-20)*(27 + 3). What is the highest common factor of n and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30523 - -30523.051074. Round t to three dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**2 - 1965 + 1967 + 35*f**2 to the form a + j*f**2 + g*f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + 0.56. Suppose -11*v - 66 - 62 = -161. Which is the closest to -0.14? (a) v (b) q (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52530)\/109140 + (-4)\/214.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495749500 rounded to the nearest one million?\nAnswer: 1496000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 129024*-0.4\nAnswer: -51609.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 1. Let k be z(-2). Suppose 0 = 2*h - r - 7, 0 = 2*h + 4*r + k - 31. Let w(x) = -x + 2. Let p be w(h). Put 0, 2, p in decreasing order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -173, -182, -195, -212?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 64*q**2 + 93*q - 62. Let k(w) = 15*w**3 + 321*w**2 - 456*w + 309. Let z(d) = -4*k(d) - 21*o(d). Factor z(b).\nAnswer: 3*(b - 1)**2*(b + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 58 - 3627*a**3.\nAnswer: -3627*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 371*w + 1855. Calculate y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4185, -6\/187, -5, 3.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -180.2777 from 88152.\nAnswer: 88332.2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182878 = -6274*n - 151121 + 411366 + 418279 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/232)\/((-4)\/32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 369*u + 5494*u + 5041*u + 36*u as z*u + o and give z.\nAnswer: 10940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 44*q - 40*q = -1829, 0 = -5*g - 3*q + 9214. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*g*y**2 + 4*c**2*m**2 - 8*c**2*y**2 + 4*c - 2*g*m**2*y**2 - 2*g*m**2 + 2*m**2*y**2 + 2*y wrt c.\nAnswer: -4*g*y**2 + 8*m**2 - 16*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*h = -2*g - 1150, -2*g = -h + 767. Let i = -386 - g. Put -0.041, i, 0.5 in decreasing order.\nAnswer: 0.5, -0.041, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.26 - -0.26. Let q = r - -15.8. Which is the closest to -1\/3? (a) -5\/2 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n. Suppose -5*u = -5*t, u - 3*t = -3 + 5. Let x be 1*(u + (-2)\/1). Is k(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, m: 2, b: 1, z: 5}. What is prob of picking 1 b, 2 m, and 1 z?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 4*m - 36 = -19*b, -4*m - 44 = -b. Let i be (-1)\/1 - b\/(-60). Put 4, i, 3\/4, 0 in ascending order.\nAnswer: i, 0, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/(x**(-10)\/x)*x**(-18)*x**(5\/2))**(3\/26) assuming x is positive.\nAnswer: x**(-81\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*q - 165 - 43, 2*q - 372 = -5*x. Suppose -4*l + 3*l = -x. Suppose -3*h = -5*g - l, 101 = 2*h + 4*g + 21. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -358\/77 + 48\/11. Which is the nearest to -1? (a) 46 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696, 596, 430, 198?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10335 and 20670?\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8*t + 42 = 0. Let c = -16 + t. Solve 2*z + 12 = c*l - 2, -2*l - 2 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 - d**3\/6 + 2*d**2 - 2. Let v(l) = l + 4*l - 3 - 4*l. Give -4*s(o) + v(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68043 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 {w: 16, s: 2}. What is prob of sequence sw?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 - 90375688*l\/7 - 510485311342084\/7.\nAnswer: -4*(l + 11296961)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -110161?\nAnswer: 24\/110161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 971064 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-4*1\/(-56))\/(95\/(-228))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89881761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 128, 256, 384?\n\"Answer: 128*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*t + 5*v, -33 = -5*t + 4*v - 13. What is the third derivative of -19*x**2 - 2*x - 4*x**2 - 24*x**2 - 69*x**3 + t*x**2 wrt x?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 14.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 574*p - 576*p + 24, -2*p - 12 = -5*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 9*j - 6. Let l be o(-7). Let m be -13 - l\/4*-2. Let q = m + 11. Solve -g = -6*g - k + 18, -2*g + q*k = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265.1 - -265. Let l = -0.04 - 0.02. Let p = l - 0.34. What is the closest to 0 in k, 4, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3426*l - 13703. Determine p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 81 = 3*i, -5*i + g = -102 - 21. Let j = -51 + 145. What is the remainder when j is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppahpad. What is prob of sequence pd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 a factor of 70380150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548706 is divided by 159?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 321113?\nAnswer: 321114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6167 or 1\/6?\nAnswer: -6167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 175*t - 741. Calculate z(-54).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -14*c**2 + 15*c - 15. Let d be t(1). Calculate the common denominator of 56\/(-198)*(-24)\/d and 83\/306.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = -2. Let r be o\/(-3)*(-3 - -3). Solve 0*i - 2*i + 6 = r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -109.933. Let u = 53.933 - v. Let k = u - 53.9999979. What is k rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 9*k**2 + 9*k - 5. Let a be r(3). Let q = a + 36. Let y(s) = -s**2 + 2*s + 18. What are the prime factors of y(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28905 and 132640.\nAnswer: 766791840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*z + 24 + 4, -5*y = 5*z + 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0. Let g(v) be the first derivative of -v**2\/2 - 6*v + 4. Let y be g(-5). What is the nearest to h in -4\/7, -3, y?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -68195.42 and -4.55?\nAnswer: 68190.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/20 and -47\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28408 - 16403. Does 35 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**2 - 24777792*g - 38371186024704 = 0?\nAnswer: -3097224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -23280, -1 in descending order.\nAnswer: 5, -1, -5, -23280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-1) - 5\/(-5). Let g = m - -9. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -44, -104, -188?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*s**2*x - 150*s**2 + s*x**3 + 2*s*x wrt x.\nAnswer: -17*s**2 + 3*s*x**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 - -0.02. Let h = k + 0.239792. Round h to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63764.\nAnswer: 2, 19, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32714625 by -575.\nAnswer: -56895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/((-121)\/1694).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.014 (b) -2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 times -1.62?\nAnswer: 879.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*(q**(3\/10)*q*q)\/q)*q**(-23)*(q\/(q*q**(2\/29)))\/(((q*((q**(1\/5)*q)\/q)\/q*q)\/q*q)\/q) assuming q is positive.\nAnswer: q**(-1425\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*w = 12*h - 13*h + 7, 3*w = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, -13\/12, -40?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = 0, 5092 + 821 = g + 5*f. Let s be 1 - 65094\/11 - 2. Let y = g + s. Calculate the common denominator of y and 42\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*w = -2*d - 14, 16 = 3*w - 5*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.126473 * -0.1.\nAnswer: 0.0126473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 608 + -288. Suppose -356 + r = -2*m. Suppose 3 = z + 3*o - 4, -z = 5*o - 1. What is the smallest common multiple of z and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j**2 + j - 1. Let l be s(1). Suppose -p + 25 = -l*p. Solve 4*q + p = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14 - (-7 + 686\/(-70)). What is the nearest to -0.1 in 0.002, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-4)\/(-4) - 1)\/(-2). Solve -g*t - 2 = 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9055117 and -60.\nAnswer: -9055177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, 29, 108, 259, 506, 873, 1384, 2063?\n\"Answer: 4*m**3 + 3*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25 = -0*m. Suppose -i - 20 = 4*i, m*i = -5*s + 55. Solve 2*l = -l + 4*f + 11, 4*l - 5*f = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-246))\/((-10)\/(-100)). Is g not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:48 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j**2 - 7*j. Let q(k) = -k. Let y be q(-2). Let t(a) = -a + 8*a**y + 6*a - 2*a**2 + 0*a. Determine -5*n(c) - 7*t(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -2*m**4\/3 - m**3\/6 + m**2\/2 + m. Suppose 3*l - 6 = -3*l. Determine c(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7013 - 1748 - 1754 - 1754 - 1757 + 11*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 213, 228, 281, 390?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144950 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -577\/10 (c) 100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 - -1 - (2 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-9)\/24*686\/(-441).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1023 + 1022.94. Are m and 2.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*c*n - 304*c + 32*n + 73 wrt n.\nAnswer: 53*c + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 2*s - 1233*s**2 - 26*s + 1224*s**2 + 22*s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/603 - -2839\/13266. What is the common denominator of h and ((-177)\/(-4))\/(3 - 6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:15 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.626 and 94.1.\nAnswer: 91.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74896 and 992.\nAnswer: 149792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2820.5 + 2820. What is the fourth smallest value in 4\/3, -1, 0.4, n?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.222 + 0.078. Let j = g - 3. Let h = -0.9 - -0.4. Which is the smallest value? (a) -0.1 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 350 - 275. What is the closest to 2\/7 in m, -5, 3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 69846, -177.\nAnswer: -177, -2, 69846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-30))\/(17\/(-340)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.7 or -3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 13. Let c be r(13). What is the nearest to c in -5\/4, -2\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 + (-11 - (-238)\/(-70)). Put -0.0721, b, 1 in decreasing order.\nAnswer: 1, -0.0721, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.14 (c) 156 (d) 0.3 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4563 and 1521?\nAnswer: 4563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -t - 3*t - 2*k, 22 = 4*t - 2*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 2. Let o be q(1). Which is smaller: o or -2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113.9999769 - 114. Round y to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -82. Suppose -134 + 155 + 280 = -7*d. Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, e: 5, g: 2}. What is prob of picking 2 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745783297?\nAnswer: 7, 439, 242689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*n + 1 + 1 + (7 + 2 - 1)*(-4*n + 6*n + 2*n) + (2 + 3 - 6)*(3 - 3 - n) + 4*n + 2*n - 4*n.\nAnswer: 37*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -2\/5 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 4\/307861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -42. Which is the closest to 1? (a) f (b) 4\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.638 + -0.062. Let f = k + 3.5. Let s = f + 0.1999984. Round s to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 6. Let g = u + 5. What is the lowest common multiple of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/(f\/(f**(-2)\/f)))\/f)\/f)**(-15)\/(f**(5\/4)\/f*f\/f**(-3\/5)))**4 assuming f is positive.\nAnswer: f**(1163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 185519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*j - 162, 0 = 2*r + 4*j + j - 94. What is the highest common divisor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-34) - (70\/(-527))\/5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-116*(-130)\/5655)\/24\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 7. Let j be u(3). Let z be 2*-28*(j + -2). Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -161, -3 in ascending order.\nAnswer: -161, -14, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**6\/480 - c**5\/120 - c**4\/96 + 3*c**2\/2 - 3. Let q(x) be the second derivative of f(x). Factor q(m).\nAnswer: -m*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276.0205 months in years?\nAnswer: 189.668375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9577, -19073, -28567, -38059, -47549, -57037?\nAnswer: -66523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 plus -134?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 15*c**2 + 15*c + 19. Let z be l(-14). Solve 2*w + w + 12 = -3*y, -5*y + z = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21961 + 0.21915635. Round w to 5 decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2434878596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -67 and -67 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63 - -1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 + (-134)\/10. Let b = -9 - n. Let q(j) = 104*j + 5715. Let u be q(-55). Is u at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27065 divided by -5?\nAnswer: -5413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + 1*sqrt(125) + 2) + 4.\nAnswer: 34 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/15351 and 143\/84.\nAnswer: 61404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -932 + 3?\nAnswer: -92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*y + 5*y = 10, -v - 2 = -y. Let x = 0 + v. Solve -2 - 1 = 3*p + 3*i, -4*p - 5*i - 4 = x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:29 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - g = -24 - 48, 5*g = 5*f - 60. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -2*c + 43, 5*c + 23 = -4*z. Let l = 27 + z. Suppose 0*f + 4*o = -5*f + 19, 4*f + 3*o = l. What is the remainder when 5 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3525, 13831, 30917, 54783, 85429?\n\"Answer: 3390*n**2 + 136*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w. Suppose w = -5*a - 482 - 148. Let j = -35 - a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = c + 3*c - 12, 0 = 2*c - 5*a - 15. Suppose c*u = -5*u - 3*f + 5403, 3*u = 2*f + 3238. What is u rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 9 = -11*k - 27, -4*h - k - 4*k - 26 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117331?\nAnswer: 117331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22226 + -4?\nAnswer: 22222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*-2 + -3.\nAnswer: -4*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258971 bigger than 1258969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 5. Let y(v) = -3*v - 5. Let u(x) = 4*a(x) - 3*y(x). Let c be u(-3). Is -8 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 10*x + 52. Determine d(12).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(-84*22\/(-5280))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**1)\/y*(y**8*y*y)\/y*(y**(-1\/2))**(-33) assuming y is positive.\nAnswer: y**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37397026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**2 + 38*o**2 + 51*o**2.\nAnswer: 70*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292704484?\nAnswer: 2, 37, 97, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398392, 798285, 1198178?\nAnswer: 1598071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 + 1. Suppose 2 = a + 1. Let n be g(a). Let y = 7 + n. Sort 0.3, y, 4.\nAnswer: 0.3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -8349, -189?\nAnswer: -8349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(2*3\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -11*t**4\/24 - 7*t**3\/3 - t**2. Let n(m) = m + 1. Let s(h) = k(h) + n(h). Let b(a) = -7*a - 9. What is -7*b(c) + 5*s(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -131*a - 663. Calculate f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 15 = -5*a, 2*a + 9 = -4*k + 15. Solve l = 4*n + 8, -n + a*l + 1 = -8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -10, -5*y + 81 = -5*z + 116 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 81*c**4\/2 + 11663*c**3\/4 - 1096920*c**2 + 48797931*c - 301180 = 0?\nAnswer: -220, 1\/162, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 59*u - 34. What is the smallest common multiple of 130 and w(3)?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 267*j**2 - 7 - 2*j**4 + 269*j**2 + 2 + j**3 + (0 + 0 - j**4)*(2 - 9 + 0) as o*j**3 + y*j**2 + q*j + p*j**4 + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f - 19*f - 27 + 224*f**2 - 249*f**2 + 14 + 13.\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -1 - 2. Suppose 5*p = 202 - 182. Put -2, p, l in descending order.\nAnswer: p, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -134?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 1527 = 10399. Let c = b - -1208. Suppose -50*q - c = -51*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*f*w**3 + 424890*f - 41533*w**3 with respect to w.\nAnswer: -21*f*w**2 - 124599*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)\/p)**(3\/14)\/((p*p**5)\/((p\/(p*p\/p**(2\/9)*p)*p*p*p)\/p*p)) assuming p is positive.\nAnswer: p**(-2435\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times 22648\nAnswer: -4076.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/15*(-188)\/(6 + -4) and 37\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -643 + 648. Let s = -218.92 + 226. Let h = 7 - s. What is the biggest value in h, -4, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 n, and 2 z when four letters picked without replacement from xzxpzpniixnzyip.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 11*i**2 + 7*i + 10. Let h be 14 + (-6 - 13)*1. Determine y(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j - 9*j = 7*j. Let o(i) be the first derivative of 3\/2*i**4 + 2\/5*i**5 + 22 + j*i + i**2 + 2*i**3. Solve o(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62 and 285020347.2.\nAnswer: 285020409.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/35 and 1012\/83 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2\/5 - 28902*m\/5 + 28901\/5 = 0.\nAnswer: 1, 28901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/594 and 14\/27.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -3, 1, 2 in decreasing order.\nAnswer: 2, 1, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 2*j + 8. Calculate the remainder when 1886 is divided by p(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*z - 40 = -0*z, -5*u = -z - 104. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2198 + 2204. Solve 8*h + p = 11*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370048 is divided by 46255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hllllhllhll. What is prob of sequence lh?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4 - 7. Let h(v) = v + 1. Let p(t) = -10*t + 7. Let u(a) = -4*h(a) - p(a). Suppose 3*q = 3 + 3. Let n(l) = l - 2. Calculate f*n(k) + q*u(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from {g: 2, u: 1, k: 1, j: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-216)*13\/(104\/32).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -0.2 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54651 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/84 and -7\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190657 is divided by 54.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*v + 10, -2*v + 3*b - 135 = -141 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**(17\/2)\/(k**7*k\/(k*k**(-2\/9))*k*k)*k**(3\/4)*(k**(-2\/7)*k)\/k*k**(1\/8)\/k*k**(1\/5)\/k assuming k is positive.\nAnswer: k**(-26291\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -900, -1812, -2722, -3630?\n\"Answer: p**2 - 915*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 3 + z + 2 + (-4 + 2 + 0)*(3*z + 3*z - 4*z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 802 = 2*q, 0 = 3*r - 5*r + q + 523. Let m = 0 + 2. Is m\/(-1) + -3 + r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -33\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7132673 (base 8) to base 15.\nAnswer: -272756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*h + 58 = -88 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 8*l - 394. Calculate the highest common factor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4451026875 - 0.4451. Round j to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = -h - 416, -x + 222 = 3*h. Let m = x - 150. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24896*u - 40*u**2 - 267 + 24896*u - 34*u**2 + 267 + 81*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 168680, 1349535, 4554716, 10796387, 21086712?\n\"Answer: 168694*g**3 - g**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36325 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*c - 417*c + 451 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3334.57477 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*0\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, g: 3}. Give prob of picking 1 u and 2 g.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1961 + 1734. Is v smaller than -231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5256\/5465 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2542518 and -17\/6215044.\nAnswer: 55935396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-9) - (6298\/(-3) - -5) 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 {r: 8, y: 1, j: 4, l: 2}. What is prob of sequence rll?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 19 + -2 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -0.16 (b) 0.3 (c) 0.1 (d) -1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/33)\/(y**(1\/2)\/y) assuming y is positive.\nAnswer: y**(37\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 6*g**2 + 3*g - 3. Let d be p(-3). Let b be ((-13)\/39)\/(1\/d). Suppose 0 = b*v - 1 - 191. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5 - 250*l**4 + 3334*l**3 + 258282*l**2 - 797940*l = 0.\nAnswer: -130, -31, 0, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8721*b - 1204*b**2 + 8721*b to v*b**2 + r + z*b and give v.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14*k + 53111 = 17*k, -4*k = -28. Does 42 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4 - 60*w**3 + 459*w**2 - 670*w = 0.\nAnswer: -67, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.1, 423\/4, -20.2?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Find the second derivative of -4*d - z*d**3 + 5*d**4 + 3*d**3 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 13*q**2 - 7*q + 2. Let c be w(7). Let v(h) = h**3 - 6*h**2 - 7*h + 2. Let r be v(7). Let f(l) = -r*l**c + 3*l + l - l**3 - 3*l. Give f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16612, 66538, 149748, 266242, 416020, 599082, 815428?\n\"Answer: 16642*b**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 871, 2070, 4067, 6862, 10455?\nAnswer: 14846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**4*l**(-2\/13))\/(l**(-1))**(5\/6)*((l**(-1\/5)\/l)**(17\/2))**(-1\/2) assuming l is positive.\nAnswer: l**(542\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 92\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74080)\/22224*(-54)\/(-3).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 + 9)) + (-17 - (-21 - -9)) + 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002349 to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -168*b**2. Let w(k) = -4*k**2. What is n(w(i))?\nAnswer: -2688*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*h = -16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.232? (a) 8 (b) 3 (c) 0.4 (d) 0.1 (e) 127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13847*j*m**2 - 4*j*m - 18*j + 14*m - 1 wrt m.\nAnswer: -27694*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 445*b**2 - 10*b + 3. Let s be t(-5). Let u = s - 245857\/22. Calculate the common denominator of u and (1*(-74)\/(-28) + 3)*1.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80462 is divided by 605.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 390 = -340 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:28 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 - 15*y**2 + y**3 - 90320 + 90320)*(0 + 0 + 1).\nAnswer: 4*y**4 + y**3 - 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27855 - -46586. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 124 = -15*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 45. Does 15 divide u(45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53405 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.39575 milligrams in grams?\nAnswer: 0.07639575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**6\/3 - 88*a**5\/5 - 45*a**2 + 114. What is the second derivative of c(y) wrt y?\nAnswer: 40*y**3 - 1056*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -939, -1918, -2969, -4128, -5431, -6914?\n\"Answer: -6*x**3 - 937*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2808*x*y**4 + 3907*x*y wrt y.\nAnswer: -33696*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364920 is divided by 182428.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 11*f + 12. Solve 3 + f = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t, 0*c - 2*t + 8 = -c. Solve -4*i = 0, c = -4*f + 2*i + 21 - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5454 and 36?\nAnswer: 10908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2214 and 1845.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11349 and 623727?\nAnswer: 60501519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:43 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/140 - 5*b**4\/168 - b**3\/21 + b**2 - 7. Factor h(w).\nAnswer: (w - 2)*(3*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 9860019.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from prprrroarrraopiioo?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83 + -13?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1809080362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980762?\nAnswer: 2, 107, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 1 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62.965 + 0.035. Let o = -2178 - -2119. Let l = p + o. What is the third biggest value in 0, -1\/2, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -6*v**2 - 11*v + 3545. What is u(-9)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*r**4 + 41865*r**3 - 33142653*r**2 - 6010357080*r - 1500517200 = 0. What is r?\nAnswer: -151, -1\/4, 1820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-175)\/(-125)*(0 + 1))\/((-32)\/(-320)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-36) + 72\/(-189)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from {l: 3, o: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 + 99 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**24*h*h**(-12)*h**(-21)*h*h**(-21) assuming h is positive.\nAnswer: h**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2 and -29\/382.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2634982146?\nAnswer: 2, 3, 146387897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24314.\nAnswer: 2, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5646, -22594, -50840, -90384, -141226, -203366?\nAnswer: -276804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 393\/5 - 2183\/30. Let c = 67\/12 - z. Put -2, c, 3\/8 in decreasing order.\nAnswer: 3\/8, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*136091\/(-4462)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.6515 tonnes in grams?\nAnswer: 515651500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68655?\nAnswer: 3, 5, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.018 in 5, 1\/5, -1\/3, 6.9, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb43 + -2?\nAnswer: bb41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 9*w + 10. Let m be (0 + 0 + -1)*10. Let s be y(m). Suppose 2*i + 4 = -3*u - u, s = 3*i - u - 22. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3 - 6 - q + (2 - 2 + 2*q)*(-2 + 5 - 4)*(2 + 1 - 5) in the form n + z*q and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -24. Let x = q - -13. Solve -12 = 4*s + 2*t, -x*s - 3*s - 3*t - 16 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nneyqqsex. What is prob of sequence sxq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((((v\/v**(-7))\/v*v)\/v)\/v*v))\/v*v*(v\/v**(-6))\/v)\/(v**(-2)*v)**(1\/46)*(v*v\/(v\/v**2))**28*(v\/(v\/v**1))**(1\/21) assuming v is positive.\nAnswer: v**(81211\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 5089 - 6104 = 0 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (12 + 0 - 0 - 19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 5:53 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000189575414 rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -11. Let o = -3.4 + x. Which is the nearest to -9? (a) -5 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*m**2 - 7*m**4 + 3*m**2 - 3*m**2 wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 75887907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6*2 + 6)*(-15)\/10. What are the prime factors of ((-5850)\/(-54))\/(3\/h - 0)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 11 - 4 - 10 - 541*g.\nAnswer: -541*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k**2 + k. Let d(o) = 22*o**4 - 2*o**3 + 4*o**2 + 2*o - 14. Let h(g) = d(g) - 2*t(g). Differentiate h(y) wrt y.\nAnswer: 88*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23625 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -260 + 349. Solve s*u = 88*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 8*v**2 - 10*v - 2. Suppose -5*a = -2*z - 9 - 17, a = -4*z + 14. What is the lowest common multiple of 6 and w(a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, t: 1, x: 1, s: 2}. What is prob of picking 1 a, 1 t, and 1 s?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4\/5 - 2\/5*m**2 - 2\/5*m = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -1, -4, 5\/3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 1494391 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*q + 64, 3*j = 8*j + q - 98. Let w(h) = 27*h**2 - 49*h**2 + j*h**2. Let y(s) be the third derivative of 2*s**4\/3 - 33*s**2. Determine w(y(a)).\nAnswer: -512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -71. Suppose t = 22*c - 11*c + 33. Let h(r) = -r**3 - 4*r**2 - 3*r + 2. Give h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009825516 to 7 dps.\nAnswer: -0.0000983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*a - 176 = -178, -d = 4*a + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 6*c**2 + 5*c + 3. Let y be ((-42)\/(-9) - 3)*6. Suppose y = -2*g - 0*g. Determine z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18116849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -666825.\nAnswer: 1\/222275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-15)\/(-20))\/(2\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/(t*t**7))**(-2)*((t**(-2\/7)*t)\/(t\/(t**(1\/3)\/t)))**(1\/5) assuming t is positive.\nAnswer: t**(164\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = -3*m, w + 0 = -3*m - 3. Is m at most 8\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 151*k**2 - 3*k - 18. Give g(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 2*d. Let m(c) = -6*c**2 - 4*c + 13. Let h(n) = 5*b(n) + m(n). Determine h(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10471933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*m**1)**(-18) assuming m is positive.\nAnswer: m**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, l: 2}. What is prob of picking 1 f and 2 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 14*b - 204, -4*o - 291*b = -209*b - 83*b - 36 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 487*z**3 - 4*z**2 - 498*z**3 + 2*z**2 + 996*z**3.\nAnswer: 11*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1137554084?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + 1. Let w = 60 - n. Let x = w + -14. Solve 3 + x = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6*y)*(5*y - 2*y + 0*y) + 31 - 4*y**2 - 31.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 947*q**7\/21 + 469*q**3\/3 - 1161*q. What is the second derivative of i(o) wrt o?\nAnswer: 37880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/3)\/((-136)\/(-204)). Let s = -1702 + 2410. Let o = -3561\/5 + s. Is k smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -33, -32, -31?\n\"Answer: c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:26 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69401270 and 5.\nAnswer: 69401270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a78873 - -5?\nAnswer: -a78869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2 - 6*o - 14. Determine t(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -230*f - 33. Let s(x) = 455*x + 74. Determine -2*s(n) - 5*t(n).\nAnswer: 240*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 70. Solve -v = -5*v - p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*p**5 + 482*p.\nAnswer: -1060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -64, -134, -188, -220, -224?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 230. Suppose -4*l + 4*k = -644, -9*k = -l - 5*k + h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:59 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -2130\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*y**2 - 2929*y + 1465*y + 333 - 108*y**2 + 1462*y wrt y?\nAnswer: -136*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 161\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -22. Let y = -25 - -32. Which is the closest to y? (a) 3 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2574 + -1686. Suppose -65*p + u = -57*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741 = -3*h + 2022. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9357 or 102920\/11?\nAnswer: 9357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**4\/11 - 34*u**3\/11 + 186*u**2\/11 - 414*u\/11 + 324\/11 = 0.\nAnswer: 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/5)*o**0 assuming o is positive.\nAnswer: o**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(63))**2 + (-3*(2*sqrt(7))**2 - sqrt(7)).\nAnswer: -399 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 326 and 7?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -8 - (7 - 19).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.5 (b) 1 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*h - 20, 883*p + 139 = 33*h + 888*p. Solve -x - 1\/3 - x**2 - 1\/3*x**h = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 9. Suppose 5*u - a = 312, -u - q = -3*u - 4*a. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -24. Let q be ((354 - 11) + 5\/(-1))\/p. What is the greatest common factor of 52 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1262 - 1265. Put 1, 4, n, -206 in descending order.\nAnswer: 4, 1, n, -206","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 16.6. Let w = -298 - -298.6. Let l = w - b. What is the third smallest value in -2, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12716 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 14*z = 0. Suppose 114 = -3*m - z*m. Let s = -35 - m. Solve -4*a = -s*a - 5*o, 5*a = 3*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**5\/20 - 13*d**2. Let b(c) = -5*c. What is s(b(y))?\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27, 4, 0 in descending order.\nAnswer: 27, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 952223312 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 4*a + 1. Let i be t(-5). Sort i, -3, 4.\nAnswer: -3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*i - 3*g, -7*i + 1427 = 5*g + 1412 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4 - x**2 - 3*x - 32. Let h(w) = 3*w**3 - 2*w - 3. Let j(c) = 3*h(c) - 2*y(c). What is j(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866293 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -36, -54, -2, -1.\nAnswer: -54, -36, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5 - 4*p**4 + 16*p**2 - 16*p = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdnkrmrkrkm. What is prob of picking 1 d and 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 k, and 1 d when four letters picked without replacement from xjjkdxkkdjxkk?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2))**(-14\/5) assuming t is positive.\nAnswer: t**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 3488104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13120 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -74123 and -74122 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-18))\/(4269375\/(-133650)).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -20*n + 25*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1145831, 1145516, 1145201, 1144886?\n\"Answer: -315*k + 1146146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 48 + -32 - -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 938385053 and 53255?\nAnswer: 10651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**13*o)\/o*o**(1\/17))\/(o**(2\/15))**(1\/3) assuming o is positive.\nAnswer: o**(9956\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:54 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0 - (-12 - -19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45043115 (base 6) to base 2.\nAnswer: -101001011110000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -74 - 5\/2*d**2 + 131\/12*d**4 + 1\/2*d**3 - 2*d. Find the second derivative of g(o) wrt o.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 7*k + 1960. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4631 - 18851 = 5*z. Let r = -1384 - z. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1672b + 129?\nAnswer: 16856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**3 - 2*u**2 + u - 2. Suppose 5*q - 10 = 2*h - h, 3*h = 15. Is y(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*t = 6*t - 6, 5*t = 5*o + 5. What is r in -r - 51*r - 65*r + o*r**2 = 0?\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 16*v**2 - 2*v + 1. Let z be q(1). Let n be 108\/z*15\/(-2). What is the tens digit of n\/(-4) - 8\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106.144 - -0.056. Let l = -96 + j. Let w = l - 10.20000053. Round w to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:28 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*n + 3*o = 237*n - 704*n + 229*n - 25, -8*o + 20 = -4*n - 0*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**5\/20 - 9*f**4\/4 - 14*f**3\/3 - 33*f**2\/2 + 4*f - 1. Does 2 divide b(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*c - 4679 + 2342 = -2337. What is q in 50\/7*q**3 + 0*q + 10\/7*q**5 + 52\/7*q**4 + 8\/7*q**2 + c = 0?\nAnswer: -4, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/1 + 55\/33)*9. Let i(d) = -2*d**3 - 3*d**2 + 4*d + 2. Let y be i(x). What is the second derivative of -14*o**4 + y*o**4 - 2*o + 8*o wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 5*x + 30. Let z be v(9). Let g(d) = -d**2 + d + 369. Let j be g(0). Suppose z = 5*r - j. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143200518*p**2*v**3 + 5*p**2*v - 37738247*p*v wrt v?\nAnswer: -859203108*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 1, e: 6, b: 3}. Give prob of picking 1 e, 1 s, and 1 b.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 6*k**2 - k + 2. Let b be a(-7). Let f = b - 34. Let n be f\/14 + 2\/7. Solve 3*j + n = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l - 11*l + 34*l. Let s(n) = -n**3 + n + 29. What is s(l)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 3*t**2 - t + 9. Let v be y(2). Solve c - 3*r - 2 - v = 0, 0 = -2*c - 5*r - 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 2*w**4 + w**4)*(7681 - 1353*w - 7681 + 391*w).\nAnswer: -3848*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2202 - 3179 + 1790)*(3 + 2*r - 3).\nAnswer: -7182*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Solve b = -v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.46989214136 - 0.053?\nAnswer: -4.52289214136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6497*m**2 + 899*m + 186 + 3 + 3247*m**2 + 105 + 3247*m**2 wrt m.\nAnswer: -6*m + 899","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzztttztzszzzttpzz.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 8*f - 10. Let n be p(7). Is (-3)\/n - 3*-236 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*20*(-138)\/12.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:53 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -1*sqrt(156)*-2)\/(-3*sqrt(48)\/sqrt(4)) - ((sqrt(325) + -2)**2 + sqrt(351)\/sqrt(3))) + -5 + 1.\nAnswer: -333 + 52*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*b**3*u*w**3 - 18*b**3*u + 7*b**3*w**3 + 9*b**2*w**3 + 22*b**2 - 5 wrt u?\nAnswer: 18*b**3*w**3 - 18*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-120)*6)\/(2\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -17*s + 122. Let b be r(7). What is the highest common divisor of 4 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -477\/10 - -13953\/290. Let y = -67\/232 + p. Is y bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**24)\/i)\/(i\/i**20)*(i*i\/(i\/i**(-2\/55)))**(11\/2) assuming i is positive.\nAnswer: i**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 668998*a\/3.\nAnswer: 2*a*(a + 334499)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a - 8. Solve -b - a = 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -122.3?\nAnswer: 122.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x + 14*x**4 + 14*x**3 - 5*x - 14*x**3 wrt x.\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9))\/r**4*(r**(10\/3))**26 assuming r is positive.\nAnswer: r**(224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 112175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q + 5. Let g = -409 + 392. Let k = -15 + 21. Let h(z) = -14*z + 14. What is g*y(r) + k*h(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6849, 13693, 20537, 27381, 34225, 41069?\n\"Answer: 6844*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + j + 10 + 1. Let z be r(9). Let d = -16 - -16.1. What is the second smallest value in -1\/5, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okb. Give prob of picking 1 o and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4100418 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 4042 in increasing order.\nAnswer: -11, -5, 4042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 254*x**2 - 12*x - 18. Does 112 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -0.6. Let c be ((4 + -3)*-1)\/1. Put 0.5, 1, c, a in descending order.\nAnswer: 1, 0.5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-308)\/198 + 4\/18. Let p = 0.2 - 0.3. What is the nearest to p in 0, a, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 289 = -a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3625177\/17 + 213423. Let l = -5541\/119 - h. Let i = l - -221. Calculate the common denominator of i and -36\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g + 305*g = 1973 - 17405 - 7451 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + x - 13 - 2. Let k be q(7). Which is the nearest to 1? (a) 1 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/(-11))\/26 + -17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-326)\/(-1630) + 0\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(((-39)\/(-234))\/((-1)\/8)). Which is the fourth biggest value? (a) n (b) -4\/5 (c) -1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8471 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221010 (base 3) in base 4?\nAnswer: -111333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 349*u - 14 + 190*u + 223*u + 226*u - 986*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((126\/(-17640)*42)\/(75\/4))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 88*j**2 - 33*j - 8. Let c(m) = -263*m**2 + 99*m + 22. Let u = 275 - 286. Let p(i) = u*f(i) - 4*c(i). What is the second derivative of p(y) wrt y?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 - 2465\/16. Let s be (-4)\/16*(-390534)\/12680. Let g = s - -1\/5072. Calculate the common denominator of a and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4476 + 4485. What is the greatest common factor of i and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 770, 2\/3, -4\/3 in ascending order.\nAnswer: -4\/3, -2\/13, 2\/3, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:06 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22446?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2071 + 2*h**2 - 2071.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*x + 16 = 0, -z + 3 = -3*x + 8. Let a = z + 17. What is the greatest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3570190.9 to the nearest 1000.\nAnswer: 3570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.1845\nAnswer: -0.05535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 4*d**2 - 4*d - 3. Let n be u(-5). Let x = n - -24. Solve 0 = 2*f + 3*a + x, 5*f - 2*f = -4*a - 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19794 is divided by 4829?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155.8 + -30.9. Let t = a - 125. What is the nearest to t in -4, 0.5, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2877\/(-15344)*1\/(9\/4)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*b + 2*b - 29, -4*b + 3*h + 8 = 0. Solve -24 = b*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231155 (base 10) in base 8?\nAnswer: -703363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/14*637\/(-26). Let k be 2*-5*j\/(-28). Solve -c = c + i + 5, 0 = -3*c + 3*i + k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82 + -1 - (16 - 25) - (-26 - -28)) + -1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, -373\/6, 2, -4, 283 in increasing order.\nAnswer: -373\/6, -4, -2, -0.5, 2, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2175 or 72\/11?\nAnswer: 2175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 12 - 160 = 8 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 117 * 4\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(171\/(-43) - -4). Suppose 3*t - 35 = -t + b, l = 5*t - b. What is the derivative of t*i + 22*i - 6*i + 1 wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3598382224 to the nearest 100000.\nAnswer: -3598400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r**3 + 454*r**2 + 1612*r + 336 = 0. Calculate r.\nAnswer: -21, -4, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3 - 5. Suppose -j*c + 160 = -0*c. Suppose 0 = -3*h - h + c. What is the lowest common multiple of 12 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 + 4582*y**4 - 3483714*y**3 + 867137986*y**2 + 9024353260*y.\nAnswer: -2*y*(y - 767)**3*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(110))\/sqrt(10) - -2*sqrt(11)*5)**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(105)*-2)\/sqrt(7))\/(sqrt(48)*-6) - (-4 + sqrt(20)*1*3).\nAnswer: -143*sqrt(5)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246472803?\nAnswer: 3, 479, 57173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47475 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42349 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6227 is divided by 61?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 66063 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1523786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 106 - 106 + (2*r + r - r)*(-1 + 1 - r) to t + v*r + c*r**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*y + 7, 2*y + u - 4*u - 33 = 0. Let c be 1\/(-3) + 3\/y. Suppose c = -s - 5*f - 11 - 4, s + f = -3. Is -1 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 34*x + 5. Let c be s(15). What is the first derivative of -108 + 0 - 29 + c*g wrt g?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3836592455?\nAnswer: 5, 173, 4435367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13 and -28\/115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.0378258?\nAnswer: 0.1513032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*k - 7. Let v = 10 - k. What is the smallest common multiple of (-2)\/((-3)\/v*2) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 6. Let t be q(-5). Let p(h) = 0 + 3*h - t*h + 1. Suppose 0 = 5*a + 4*c + 33, c = -2*a - 4*c - 20. Give p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 7:22 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3711.554 decades in months?\nAnswer: 445386.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(2 - -2) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 2 - 1 - 9269*l + 9267*l.\nAnswer: -2*l + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i + 6*i + i + 4*i + 0*i - 2*i + (-i - 3*i + 2*i)*(-5 + 3 + 4) - 3*i + 0*i + 4*i + 2*i - i - 3*i - 8*i - 3*i - i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 2, 3, 5, 0 in descending order.\nAnswer: 5, 3, 2, 0, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832*d**3 + 248618*d**2 - 248618*d**2.\nAnswer: 832*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10 - 3 = -4*b, 5*b = 3*w + 7. Suppose 58 = b*u - 62. Suppose u = 3*i + 5*t, -15 = -3*t - 2*t. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 990.468 to the nearest 10.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**2. Let l(y) = 1107*y - 648. Let v(s) = -7*s + 4. Let j(n) = 5*l(n) + 810*v(n). Calculate f(j(t)).\nAnswer: -200475*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -373, -1683, -3925, -7093, -11181, -16183, -22093, -28905?\n\"Answer: j**3 - 472*j**2 + 99*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 12. Let y be -5 + 71 - 6 - (-2)\/(-2). Let w = -68 + y. What is m(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 14. Determine r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -172*n**7\/21 - 659*n**3\/6 - 5*n - 41. Find the second derivative of q(u) wrt u.\nAnswer: -6880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 29*b - 208. Determine o(14).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 2, u: 1, w: 5, x: 1, v: 2}. What is prob of picking 2 c and 1 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074923ug in milligrams?\nAnswer: 0.000074923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.13 + 0.13. Let b = 0 - -0.3. Let l = -10 - -6. What is the smallest value in u, l, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 468 in decreasing order.\nAnswer: 468, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/199, 6\/5, 13, 12\/17, -3.9?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967657 is divided by 33363.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 8*d**2 - d - 6. Let y be n(-8). Let m be 4\/y*42\/(-4). Let j = -2 - m. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -1\/6 (c) 1.2 (d) 0.57745\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/63)\/(2\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4))\/(j\/(j*j**14)) assuming j is positive.\nAnswer: j**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3420 (base 8) to base 4.\nAnswer: -130100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/15*-1)\/(-4))\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4 - 0. Let y be 18\/(-56) - 6\/24. What is the nearest to d in 0.1, y, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**4\/24 + 37*i**2. Let w(g) = 4*g + 1. Determine -3*q(n) - w(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by (128\/88)\/(-8) - (-2 + (-2832)\/88)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/26, -4\/5, 1\/9 in descending order.\nAnswer: 1\/9, 1\/26, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -79. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*r - 4*v - 10, 3*r + 2*v = 10. Solve -r*x - x = -9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241 or -15931?\nAnswer: -15931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(480) + sqrt(30))\/(sqrt(18)\/(sqrt(6)\/sqrt(2))).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -2\/17 (c) -9\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 6*r. Let s(d) = d. Let k(i) = -3*a(i) - 15*s(i). Let l(z) = -3*z**2 + 12*z**2 - z**2 - 9*z**2. Determine k(l(f)).\nAnswer: 6*f**4 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f. Let c(g) = 252*g**2. Determine u(c(m)).\nAnswer: -756*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -682714.8 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 1158*w**2 + 137 - 7510*w**2 + 126 - 398.\nAnswer: -8668*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/63, -22, 3?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10 + (-4 - (4 - 2027))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 18 = -28. Solve 17 = -k*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1030481 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -793*b**2 - 8712*b + 118. Determine s(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47495 or 47498?\nAnswer: 47498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4 - 24. Let z = s - -10. Suppose -m = -z - 26. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1206 by -3.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence extx when four letters picked without replacement from hehhheteexthhhthtxe.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2. Let c(a) = -10353*a**2. Calculate c(j(u)).\nAnswer: -372708*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f - 56*f - 144*f.\nAnswer: -133*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164295.\nAnswer: 3, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24084, 48169, 72256, 96345, 120436, 144529, 168624?\nAnswer: 192721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12653*o + 70 = 12667*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20956 divided by -2\nAnswer: -10478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3853 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -195880, -391758, -587644, -783538?\n\"Answer: -4*v**2 - 195866*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygy when three letters picked without replacement from {y: 5, p: 3, l: 1, v: 3, x: 4, g: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 221888869 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*a = -24, -2*a = 2*y + 3*a + 4. Solve -3*l = -y*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 423 + 681. Let m = -391 + j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13*c + 66 = 18*c, -4*c = i. Let r(a) = -3*a**2 + 70*a + 48. Give r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -39*l - 723. Let v be p(-21). What is the highest common factor of v and 4128?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 21*f + 5. Let x(t) = 46*t + 10. Let z(b) = -13*j(b) + 6*x(b). Determine z(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 7*q + 8. Let j = 1 - -4. Let d(u) = 3*u**2 + 14*u - 16. Let c(v) = j*w(v) + 3*d(v). Give c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23387552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1872)\/sqrt(4) - 3*sqrt(117)) + -4)**2.\nAnswer: 144*sqrt(13) + 798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151762*c**5 + 2*c**2 - 140549*c + 2 wrt c?\nAnswer: -9105720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -34, -174, -442, -880, -1530?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxpuwuuupurpw. What is prob of picking 2 u, 1 w, and 1 p?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttff when four letters picked without replacement from {t: 2, f: 6, g: 1, y: 3}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3636 + 83632\/23. Which is the second biggest value? (a) 3\/4 (b) q (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*c*g**3*s - 3*c*g**2 + 9*c + g**4*s - 2*g**2 - 2*s wrt g?\nAnswer: -756*c*s + 24*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 55 = -3*l, -5 = -o - l - 16. Let m(t) = 6*t**3 - 11*t**2 - 11*t + 11. Let z(p) = p**3 - 2*p**2 - 2*p + 2. Determine o*z(a) + 2*m(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(1\/5)*q)\/q*q*q**0*(q**7\/q)\/q**(1\/4) assuming q is positive.\nAnswer: q**(171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a decade?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14698*g - 73472. Give j(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9964097921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b - 14 - 34 = -33*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -2 - 9\/8. Suppose 0 = 5*s - 4*a + 39 + 2, -5*a = -5*s - 45. Let b be (-13)\/(-14) + s\/10. What is the smallest value in l, b, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/(-30) + (-16)\/120 + 6. Let t(y) = y**2 + y - 11. Let h be t(-5). Let n be h\/(-15)*5\/(-1). Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 322*h + 3222. Let b be d(-10). Is b >= -498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6 - 3*d**3 + 2*d**3 - 8*d - 8*d**2 - 2*d. Let l(y) = -3*y + 14. Calculate the remainder when l(-5) is divided by w(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -604, -1134, -1544, -1780, -1788, -1514?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**2 - 3906*n - 3909 = 0.\nAnswer: -1, 1303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, g: 1, l: 1, u: 2, h: 3}. Give prob of picking 1 l, 1 u, 1 g, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 1. Let h be b(1). Suppose -h*i - i = -39. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26248936 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 15*p = 4*g - 12, 0 = 4*g + 2*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*o**2 + 3\/8*o**4 + 135\/2*o + 0 + 123\/8*o**3.\nAnswer: 3*o*(o - 2)**2*(o + 45)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 23. Suppose -4*x + 3 + s = -g, 15 = x - 3*g. Let y(h) = -h + 7*h - x*h. Let i(f) = 2*f**2. Determine i(y(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 0 + 4 + 1 - 7.\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3\/6 - 2*r**2 + 528*r. Let p(q) = q - 3. Determine -5*n(c) + 7*p(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 1, 14, 41, 88?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 2:46 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444300 and 35544.\nAnswer: 888600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18\/((-5616)\/(-62)) + (52\/(-16) - -3)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + 61 + -53 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 6.6 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 5*j**2 - 3*j + 8. Let p be v(7). Let u = p + -82. Is (350\/(-75))\/(u\/(1206\/(-4))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.41 - -0.01. Let s(h) = -h**3 + 4*h**2 + 2*h - 3. Let r be s(4). Put -1\/4, m, r in descending order.\nAnswer: r, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-9)\/(-6)) - (-180)\/(-80)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(891))**2 - (2 + sqrt(11)*3).\nAnswer: -3*sqrt(11) + 3562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10780 - 10770. Solve c = 5*i - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/342 - (0 - (-320)\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -732 (base 10) to base 6.\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by -4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4114 and 98494?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -237*o**3 - 266*o + 346994?\nAnswer: -711*o**2 - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 592803964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17\/5 + -3)\/(18 + -16). Which is the nearest to 1? (a) r (b) 0.02 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -823234 rounded to the nearest 1000?\nAnswer: -823000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 21*a + 352. Give j(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 53. Let k(a) = 3*a**b - 16*a**2 + 3*a**2 + 11*a**2. Let o(g) = g - 1. Let n(d) = -6*d - 12. Let w(z) = n(z) - 12*o(z). What is k(w(c))?\nAnswer: 324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0203 in -19, 3, -1.3, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = n - 0, n = -2*t + 2. Solve r + 10 = -4*o, 3*o - o - t*r = -10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 22642725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 + 4*h - 4. Let p(l) = 30*l**2 - 21*l + 21. Let b(c) = -21*n(c) - 4*p(c). Let u(o) = -21*o**2. Determine b(u(q)).\nAnswer: 2646*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13940 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 6. Let j(h) = h - 6. What is 3*j(y) - 2*u(y)?\nAnswer: -y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/259000 and -11\/6544375.\nAnswer: 366485000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c - -26b40?\nAnswer: 26b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*a + 77 = -2*a, a = 5*w - 143. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46880, -93720, -140544, -187352, -234144?\nAnswer: -280920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from tteetdgegfgtgteeet.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 2*u - 6. Is q(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7 + -8 + 164\/(-3))*-3 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-540)*10 - (-2107005)\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*26\/(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 57. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z. Is 34 + 9\/3 + z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k - 47*k - 4 + 2)*(-2*k + 6*k - 15*k).\nAnswer: 396*k**2 + 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-2 + -4 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/8528 - -8609\/25584. Determine r, given that -17\/3*r + h*r**2 + 0 = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3062?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*l**3 - 4*l**3 + l - 4*l)*(3*l + 9*l + 15*l).\nAnswer: 27*l**4 - 81*l**2 + 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151203*b**2*r**2 - 2*b**2*s - b**2 + 179*b*r*s + 2*b - 7*r**2*s**2 - 3*r*s - s**2 wrt r?\nAnswer: -302406*b**2 - 14*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 15, q: 3}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 53, 69, 105, 167, 261?\n\"Answer: g**3 + g**2 - 8*g + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225 - 220. What is the lowest common multiple of z and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114407815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20*5.8\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 763\/10900*-80*(-5)\/(-1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -2 + 2 + -9. Let a = 21 + j. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/3 + 140*x - 5346 = 0?\nAnswer: -243, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0 + (7 - 2 - 3)*(4 - 5 + 5))*(2*i**2 + 4 - 4) + (1 - 1 - 1)*(3*i**2 - 3*i**2 - i**2) + 2*i**2 - 3*i**2 - i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44611?\nAnswer: 7, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/17)\/(726\/74052).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2 + (-455)\/225). Let y be (15506\/(-10) + -1)\/((-9)\/j). Is (-2 - 7\/(-3))\/((-6)\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -992.6429294 to zero decimal places.\nAnswer: -993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + 1 - (-28 + (34 - -95))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641724894 to the nearest integer?\nAnswer: 25332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -34, -65, -122, -211, -338, -509, -730?\n\"Answer: -k**3 - 7*k**2 - 3*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, 10, 0 in ascending order.\nAnswer: -16, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57208, 114560, 171930, 229324, 286748, 344208, 401710?\n\"Answer: k**3 + 3*k**2 + 57336*k - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 214701.6823 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -489250 by -50.\nAnswer: 9785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48033289 to the nearest integer?\nAnswer: 6931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-752 - 11*f**2 - 2*f**3 + 752)*(30 + 15*f - 30) to the form a + y*f**3 + t*f**2 + v*f + d*f**4 and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3679 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4806\/8 + 3*1\/(-4). Calculate the highest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 times 47?\nAnswer: -6063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94564 is divided by 80.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 23*m + 20 = 0. Which is the nearest to 2? (a) m (b) 2 (c) 0.2 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 3*c. Suppose -3*f + 6 + c = 0. Suppose -2*u - 285016 = f*u - 4*a, 4 = a. Round u to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-18)\/(-81)*27\/(-30)*-5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 15*u + 44. List the prime factors of d(-13).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217116*a**3 + 133411*a**3 - 25586*a**3.\nAnswer: 324941*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/7 - 411*t**2\/7 - 117*t - 997. Solve p(s) = 0 for s.\nAnswer: -273, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 31. Calculate z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 395606 a multiple of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -50*w**5\/7 + 14*w**4 + 54*w**3\/7 - 14*w**2 - 4*w\/7 = 0.\nAnswer: -1, -1\/25, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Suppose -8*t = -4*t + 2*r + 8, -f*t = -4*r - 4. Is -2\/3 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**5\/60 - r**4\/18 - r**3\/18 - 3*r - 1. Let o(w) be the first derivative of y(w). Let o(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -98. Find the common denominator of -103\/52 and (9\/42)\/(h\/((-630)\/(-4))).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3174 - 1224. Calculate the smallest common multiple of d and 6.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 45*u + 119. What is z(-50)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1\/2))**(-1\/35))**(-2\/3) assuming v is positive.\nAnswer: v**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -322859 rounded to the nearest 1000?\nAnswer: -323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462090.\nAnswer: 2, 3, 5, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 6 + 87*v**2 + 33*v**2 - 2*v**3 - 11 to the form l*v**3 + t + u*v + f*v**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = p + 37, 5*p = -20*u + 15*u + 100. Let t(k) be the second derivative of 0*k**3 + 0*k**2 + 0 + u*k - 1\/30*k**5 + 0*k**4. Solve t(s) = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 1804 = 56*w. Suppose w*t - 25*t = 57. What is the lowest common multiple of (-1)\/(-1) + 1*32 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 60*o**2 - o - 3. Let q(h) = h. Give b(q(r)).\nAnswer: 60*r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let u be i(-3). Let l = -109.5 + 109. Let j = 39 + -118\/3. Which is the fourth biggest value? (a) l (b) u (c) 1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114300324 (base 5) to base 9\nAnswer: 1013643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84088 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -11, -193, -5 in increasing order.\nAnswer: -193, -145, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Let c(s) = 2*s - 2*s - d - s. Let z be c(0). What is z rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1\/3, -0.02317 in increasing order.\nAnswer: -19, -0.02317, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*c + 3)*(-62 + 15 + 18)*(19*c**3 - 8*c**2 + 8*c**2) to the form u*c**3 + t*c**2 + h + b*c**4 + o*c and give b.\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 14939567 to the nearest 100000.\nAnswer: 14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 53*s**2 - 18*s - 113*s**2 + 48*s**2 + 4 as c + u*s**2 + m*s and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = z + 12, -z + 0*z - 4*t = -4. Let f(i) = -4*i + 16. Let y(m) = -m + 3. Suppose -30*o + 35*o + 15 = 0. Let d(h) = o*f(h) + 16*y(h). Determine d(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 213, 852, 1917, 3408, 5325?\n\"Answer: 213*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:57 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2394 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 - 1 - (74\/(-185))\/(4\/30). Solve -s*v + 40 = -20*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000087164 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168848*k**3 + 8*k - 5*k - 93781*k**3 - 3*k.\nAnswer: -262629*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.16006591 rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 6*z**2 - z - 2. Let y be m(-6). Suppose u + y*o - 3*o = 4, 5 = 5*o. Let i be (u + 21\/(-2))\/(-6). Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 13\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/12*6\/4. Let f = 3.8 + -4. Let y = 0 - f. Which is the closest to u? (a) y (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/4 + 3648405*o\/4 + 25538933\/2 = 0.\nAnswer: -14, 3648419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:55 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -11207, -4, 11, -5, -3 in descending order.\nAnswer: 11, -3, -4, -5, -11207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226771067?\nAnswer: 226771067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {c: 6, e: 2, r: 10}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3015588 (base 9) to base 12.\nAnswer: 6549b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48543 + -1510?\nAnswer: 47033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(105\/12))\/(1\/15). Suppose r = a - 5*a. What is the third smallest value in 2\/5, 0.2, 3\/4, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 95 = -25 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8622 is divided by 4278?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2 + 2*k - 3*k**2 + 4*k**2 + k + 3. Suppose -4*u + 3 = -9, -16 = -5*b - 2*u. What is the lowest common multiple of n(-3) and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m = 1890. Let g = m + -155. What are the prime factors of g?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5086.8 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -13. Suppose 5*s + 67 = -k. Let r = s - -38. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*t + t. What are the prime factors of (-1)\/t + (-188)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 u when four letters picked without replacement from {d: 3, f: 4, u: 6, w: 2, c: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 11*y**2 - 12*y + 1. Let t be s(12). Solve t = -3*i + 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*((-1)\/3)\/(29\/29).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19a28 (base 12) to base 6\nAnswer: -450452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 4*p - 13962 = 63312. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143 + 247. Suppose -151 = -2*k + y, -281 = -4*k - y - 4*y. Let q = u - k. Calculate the least common multiple of 27 and q.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -148438*n**2 - 6*n - 16. Let i be c(-8). What is i rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + n - 10 = 0, 5*n = -4*b + 2*b + 14. Let r be 1\/3 - (-4)\/(-12). Let r + 0*m**b + 1\/7*m - 1\/7*m**3 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120111102201 (base 3) to base 6.\nAnswer: -10312114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4 + 6, 0 = 3*q - 4*b - 8938. Suppose -5*h - o = 2*o - q, -1200 = -2*h - 4*o. Suppose 0 = 3*c + c + g - h, 149 = c + 5*g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3034, -2886, -2644, -2308, -1878?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3)*4\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-35)*(96\/128 + (-267)\/36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppy when three letters picked without replacement from ypfyyyppyp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1086853, -1086803, -1086737, -1086655?\n\"Answer: 8*m**2 + 26*m - 1086887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73073185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6258\/265965 + 2214\/(-170)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53476900 and 5504975?\nAnswer: 374338300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228340 is divided by 113635.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.39 times 12523\nAnswer: 29929.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 7, -48, 179, 5, 2 in decreasing order.\nAnswer: 179, 7, 5, 2, 0, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 6)*(3*l + l - 2*l) + (-39*l - 5*l + 11*l)*(-4 + 1 + 2))*(-2 + 2 + 2*l).\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 18793.\nAnswer: -33\/18793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -30\/11 (c) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3594.53um?\nAnswer: 0.00000359453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7*f - 10*f = 360, -5*b + 3*f = -1800. Let o be (-10)\/4*b\/(-75). Solve 6*l - o = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*n + 3237 = -243 - 244 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/5 (b) -1 (c) 3 (d) -5710 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 62*l + 1578. Give r(-26).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*n**5 - 26\/7*n**3 + 12\/7*n**4 + 24\/7*n**2 - 8\/7*n + 0.\nAnswer: -2*n*(n - 2)**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3\/5 (c) -765 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = -1. Let u = -62 - -188\/3. Suppose 0 = -5*m - 0*m - 20. What is the closest to u in 3, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**5\/60 + b**4\/8 + 2*b**3\/3 + 3. Let p(n) be the third derivative of g(n). Give p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, -4, 58, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 0, -3*n = -2*v - 2*v + 16. Suppose -3*d - 2*d + u + 13 = 0, 0 = 2*d + 3*u + 5. Solve c + d - 1 = 0, 5*m + v*c = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1932 and 63.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Suppose -q + 15 = 4*q + o, -y*o - 18 = -2*q. Suppose 0 = q*a - 0*a - 308. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 3. Suppose 35*r - 32*r = -9. Does 8 divide u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u**(-7)*u)\/u)\/u*u)\/(u*(u**(2\/15)*u*u*u)\/u) assuming u is positive.\nAnswer: u**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29171296 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 15. Let m(j) = -j**2 + 9*j + 6. What is the tens digit of m(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 + t + 1. Let p be c(2). Suppose -p*y + 72 = -6. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 8*v**2 + 17*v - 23. Let d be m(-10). Suppose -3*c + 8 = -d. Calculate the remainder when 81 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*b + 34 + 181.\nAnswer: -2*b + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 3.297, 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 20101 (c) -15 (d) 16 (e) -1\/2 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = 0. Suppose -12 = -3*c - 4*p, 2*p = -4*c + 23 - 7. Suppose 2*u = 1 - 5. Put h, u, c in increasing order.\nAnswer: u, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/20)\/1*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -1\/4*m**4 - 2*m**3 - 10*m + 0 - 9\/2*m**2. Let o(p) = 0. Calculate p.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, 0, -1, 2\/11, -1\/4, 39?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 107 + (-186 - -139 - (4 + -27))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evcecezececevcccec. Give prob of sequence vcc.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2)\/sqrt(8) - (6*sqrt(833))**2 - ((2*sqrt(612) + sqrt(612))*-1 + -4)**2.\nAnswer: -35512 - 142*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*a**2*b*w + 2*a**2*b - 3*a**2*w - 2*a*b*w - 3704*a*b wrt a.\nAnswer: -50*b*w + 4*b - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 27*w - 38. Give f(10).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2\/2)\/(-6))\/(59\/(-1062)). Let q(i) be the second derivative of 0 - 2\/3*i**4 + 12*i + 0*i**g - 11\/2*i**2. Differentiate q(l) wrt l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36636, -293120, -989318, -2345088, -4580288, -7914776, -12568410, -18761048?\nAnswer: -26712548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12648, -25983, -39998, -54699, -70092, -86183, -102978, -120483?\nAnswer: -138704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 207902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 35, -1, -2.\nAnswer: -2, -1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (2 - -1))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t - 2*y + 2 = 0, -25 = -3*t - 4*y. Let q = 7 - t. What is the least common multiple of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 + 13*u + 66. What are the prime factors of w(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 w, and 2 u when four letters picked without replacement from ljtuuiww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5139375?\nAnswer: 3, 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -2*q**3 - 3*q**2 + 4. What is the second derivative of v(w) wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f - 7*f + 3*f to the form u*f + v and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.948*6.5.\nAnswer: -6.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 + 2*f + 2. Let k be d(2). Is k\/(-6*2\/(-6)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 divided by -1?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1026\/1869 + 56\/(-98). What is the second biggest value in -4, 1\/5, -1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110721 by 36907.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172547291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15303346*b + 20852197.\nAnswer: -15303346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3206693919 rounded to three decimal places?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 29*l - 199. Let d be o(14). Suppose -4*i + 2*r = -16, 3*i - 12 = 2*r + r. Solve i*y - d = -3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 75231?\nAnswer: 75231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -561*p**3 + 580*p**3 - 25 - 41*p + 25 to the form x*p**2 + r*p + o*p**3 + f and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.23 and 1447.\nAnswer: 1447.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2955 by -1980.\nAnswer: -197\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 10*c - 1. Let v be s(5). Let t = v + 44. Suppose 0 = 5*x + 5*m - 50, -x + 3*m + 42 = 2*x. Calculate the greatest common divisor of t and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 10*c**4 - 115*c**3 + 135*c**2 + 160*c - 100 = 0.\nAnswer: -1, 1\/2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/(b\/b**(-1\/11)))**(-8\/3) assuming b is positive.\nAnswer: b**(272\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*u - 101727 = 564*u. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 - (16 - (15 - (19 - 25))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/690 and 61\/11190535?\nAnswer: 67143210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, r: 1}. Give prob of sequence ur.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - ((-90)\/(-10))\/108. Solve 2*c + k*c**2 + 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 3*y - y + 10*y - 14*y - 11*y + (3 - 6 + 1)*(-27*y + 0 + 0) in the form t*y + k and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 35. Let l = z - -4. Let n = l - 4. Solve -o + w = 3*w - 4, 2*o - n*w = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*z - 96972*h**4 + 3*h**2*z + 7689*h**2 + 2*z wrt h?\nAnswer: -24*h*z - 2327328*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -1, -11, -5.\nAnswer: -16, -11, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 6*u + 24. Find the first derivative of -u - 630*y**3 - 7 + 584*y**3 wrt y.\nAnswer: -138*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197 + -219. Let u(w) = -w**3 - 21*w**2 + 6*w - 42. What is the hundreds digit of u(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.7 - 16747.\nAnswer: -16759.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -84888\nAnswer: -1\/3537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*k = 65, 87*l - 4*k = 86*l + 22. Let h(o) = 32*o + 7. Calculate h(l).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/(4\/24*-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19654, 39308, 58962?\nAnswer: 78616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(-1*((0 + sqrt(44))*-1 + (sqrt(5324)*1)**2 + 2) + -4).\nAnswer: -26651 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 460, 457, 454, 451, 448?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 541095 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f - f)*(2*f + 0*f + 0*f)*(-13 - 3*f**3 - 4*f**3 + 5*f**3).\nAnswer: 4*f**5 + 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(168*f - 195*f + 50*f + 318*f + 114*f + 172*f).\nAnswer: 2508*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 9*k + 38. What is d(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.082 in 2\/3, -0.62, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53438937?\nAnswer: 3, 1979, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88751 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**6 + 2*z**5 + 44886*z**3 + 38*z**2 - 140*z - 1.\nAnswer: 480*z**3 + 120*z**2 + 269316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 - 6\/12. Solve 5*h = j - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23731437883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10*30395\nAnswer: 303950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3156*t - 4 + 24052*t + 9671*t.\nAnswer: 30567*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.28288505 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3211)\/(-1596) + 8\/(-32) + 5\/(-3)*1.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100010 (base 2) to base 14\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + w**2 + 4*w. Let d be h(-3). Let k = d - 16. Suppose 0 = -6*x + 3*x + 27. Solve 4*t - x = 3*b, 0 = 2*b - t + k - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, -445, -511, -579, -649?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -700.\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-40)*30\/9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -16, 5, 54, 143, 284?\n\"Answer: 2*b**3 - 4*b**2 + 3*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 1. Let k be 1\/(-12)*4*6. Let t(v) = 6*v - 3. Determine k*t(c) + 10*y(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*m = 367*m + 6*i - 418, 0 = -m - 4*i + 280 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12782373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgggexgexx. Give prob of picking 3 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose 5*f + z - 5 = 0, 2*f - 2 = -z - 3*z. Put u, f, -2 in increasing order.\nAnswer: -2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-385)*77\/(-2211)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4480 + 0?\nAnswer: -4480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 + -0.34. Let t = f + -23.97. Let y = -25 - t. Sort -3, y, 0.5.\nAnswer: -3, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-36)*-6)\/((-54)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 24*k**2 + 19*k - 31. Calculate m(25).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 426*q + 14448.\nAnswer: 3*(q - 86)*(q - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 0 + sqrt(700) + 0)**2 + -5*(sqrt(7) + (sqrt(7) - (sqrt(7) + -2)) + -3)**2.\nAnswer: 10*sqrt(7) + 2760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*c = -3*m - 31, -2*c = -5*m + 44. Let f(v) = -v**3 - 8*v**2 + 2*v + 11. What is the remainder when f(-9) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1074 and 2889239.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144 + 112?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*p + 262*p - 447*p - 488*p.\nAnswer: -1271*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08481 and -0.3.\nAnswer: -0.025443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339304453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12636228.\nAnswer: 2, 3, 11, 29, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8274 + -2553?\nAnswer: 5621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-8)\/(-13))*24\/3. Let f = g + 0. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1065 - 1047. Suppose 4 = n - 0. Solve n*m - 3*v = 7 - f, -2*v = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24073208274 and -292.\nAnswer: 24073207982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 136\/6*(-3)\/(-2). Let r = -315 - -339. Let i = n - r. Calculate the remainder when i is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -0.5, 1, 7112, 3 in descending order.\nAnswer: 7112, 3, 2, 1, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2852 and 26220?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.005 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5 + 324*t**4 + 312*t**3 - 640*t**2 = 0. Calculate t.\nAnswer: -80, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 29658 + 1525908 = 0. Let u be m*(-6 - (-406)\/(-3)). Round u to the nearest 100000.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 + 59 = 20*l - 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12842 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - 0)\/(8\/4). Let w = -2 - n. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-5))\/(3\/15). Let k = -2 + i. Suppose -2*a + 2 = -k. Solve 4*y + 14 = -a*h - 6, 2*h = -4*y - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 16. Let d = 166 - 113. Suppose -d - 2 = -5*o. Let j be n(o). What is the highest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/293 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 12096 - 8162. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 4:49 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5973338 and 16506?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-64)\/240)\/((-4)\/(-6)))\/((-998)\/3992)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7258 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -8176 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14170)\/2275 + (-14)\/(-5))\/((-3)\/(-14))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 3 in decreasing order.\nAnswer: 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 25 = -5*t. Suppose -z + 4*b - 8 + 31 = 0, -5*z = 3*b. Find the third derivative of 2*y**2 + 3*y**2 + z*y**t - 3*y**2 wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.075, -3, 18575 in descending order.\nAnswer: 18575, -0.075, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-158*r - 44*r**2 + 45*r**2 + 30*r)*(5 - 3 + 0) + (-3*r + r + 4*r)*(-r + r - 2*r) + 3*r**2 - 2*r**2 + 2*r**2)*(2*r**2 - r**2 + 6*r**2).\nAnswer: 7*r**4 - 1792*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (69\/2)\/(7\/14). Let l be (210\/24 + -3)*12. Let o = l - p. Solve 2*y + 13 - 3 = o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(0*o + 3*o - 2*o) + 628*o + 7 - 2 - 607*o + (-5*o + 0*o + o)*(-1 + 2 - 2).\nAnswer: 23*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.55*-17.\nAnswer: 26.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 3*s**4 - 3*s**3)*(-12*s + 37 - 37) + 42*s**3 - 27*s**5 - 42*s**3.\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 12*a**2 - a - 225. Let d(q) = q**3 - 6*q**2 - q - 105. Let i(x) = 13*d(x) - 6*g(x). What is i(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-0.04\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 11*w**2 - 4*w - 46. Let c be j(-11). Let o be c\/(-33)*9\/(2 - 1). What is the smallest value in 5, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57387, 0, -126, 5, -2.\nAnswer: -57387, -126, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1576 and 8792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 8*g - 11. Let x be p(4). Let s be 645\/(-25) - (-1)\/(-5). Let u = s - x. Solve -5*f + 19 = -u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 16*k**2 + 2. Let h(b) = b**2 - 1. Let a = -6015 + 6014. Give a*z(p) - 2*h(p).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/6*-1)\/((-2)\/(-9)). Is 0.13 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -v + 2*v. Let s = -16 - v. Calculate the lowest common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 3*m**2 - 2*m + 1. Suppose 0 = -3*x - x + 8. Suppose x = -2*h + 3*h. What is a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/363 and -137\/49783470.\nAnswer: 547618170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-10)\/60*(-6)\/(-206). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(2*sqrt(704))**2.\nAnswer: 8448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -72 - 18. Suppose 25*s = y*s - 465. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*h = 9, h = 3*w + 6*h - 53. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.6. Let g = -2.1 - -2. What is the closest to -0.1 in g, k, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7714394395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 i when four letters picked without replacement from nnniihni.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 - w**2 + w**2 + (w**3 + 2*w**2 - 2*w**2)*(w - 2*w - w) + (0*w**2 - 3*w**2 + 2*w**2)*(2*w**2 + 0*w + 0*w) - w**4 + 4*w**4 + 2*w**4.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -692, -1042?\nAnswer: -1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.571\nAnswer: 0.0571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 4 (c) -486 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3153*y - 3149. Calculate r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549129982 to the power of 1\/2, to the nearest integer?\nAnswer: 39359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k + 3*k - 2*k)*(-k - k + 5*k) + 0*k**2 + k**2 + 0*k**2)*(-3*k**3 - 6*k**2 + 6*k**2) + (0 - k + 0)*(-3*k**2 + 3*k**2 - 4*k**4).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -357342 + 357374. Let d = -83 + 159. Calculate the smallest common multiple of r and d.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1388, -5246, -11566, -20348?\n\"Answer: -1231*l**2 - 165*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1656, 13807, 46768, 110943, 216736, 374551, 594792, 887863?\nAnswer: 1264168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3953\/4 + 999. Find the common denominator of z and -59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h + 42. Let c = h + 24. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-5) + 8\/(-40). Suppose -2*v + 0*v + 5*y = -263, g = -2*v + 4*y + 264. List the prime factors of v.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60022104 divided by 1572.\nAnswer: -38182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 6*q - 6 = 0. Suppose 2*w - 48 = -2*o, 3*o - 53 = -2*w + q*o. Suppose 20*n = w*n - 230. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 41. Let o be t(17). Suppose -2*y + 6 = y. Solve -y*f = -0*f - o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/1221 - -715073\/2442. Let s = h - 16711\/57. Calculate the common denominator of s and -145\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4724212 is divided by 2362094?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2124\/5 - 423. Let b*s**2 + 2\/5 - s**3 - 7\/5*s + 1\/5*s**4 = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*k**4 - 2 + 2*k**2 + k - 23*k**4 + 5 as j*k**3 + q + p*k**4 + a*k + d*k**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**3 + 2*j**2 + 3. Let m(u) be the first derivative of -7*u**4\/4 - u**3 - 4*u - 44. What is 5*i(s) + 4*m(s)?\nAnswer: 2*s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.9 - 0.1. Let v = -1103503 - -1103497.0000004. Let n = v - j. Round n to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*o - 26, 0*v - 5*v - 5*o + 35 = 0. Find the second derivative of -v*i + 4*i - 4*i**2 - 5*i**2 - 12*i**2 wrt i.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3 - 35*w**2 + 50*w - 15. Let r(z) = -7*z**3 - 36*z**2 + 51*z - 14. Let s(q) = -6*g(q) + 5*r(q). Factor s(m).\nAnswer: -5*(m - 4)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 735, 1450, 2111, 2688, 3151, 3470, 3615, 3556?\nAnswer: 3263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13*(-368)\/75348*(75\/(-110))\/5\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (2*sqrt(1100) + 2)) + (1*sqrt(1100) + 2 - sqrt(1100)) + (-3*((sqrt(11) - sqrt(44)) + -1) - (-2 + sqrt(396) + 0)))**2.\nAnswer: -130*sqrt(11) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2087154 + -20015846. Round u to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8*1\/40)\/(1\/25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*14\/(-112)*6\/(-5)*(-85)\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7786167\/5 at most as big as 1557234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 + -0.4. Let s be (-518)\/(-112) - 4\/32. Which is the nearest to s? (a) o (b) -0.5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 17779\nAnswer: -711.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.085 and 4.\nAnswer: 4.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317047 or 317173?\nAnswer: 317047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9597 + 11161. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b - 15*b + 6*b + 2*b + 0*b + 0*b + (-2*b + 4*b + b)*(-1 + 3 - 5) in the form r*b + k and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/5 - 12052*k\/5 + 12054\/5 = 0. What is k?\nAnswer: -6027, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**7\/30 - 4*v**3\/3 - 7*v**2. Differentiate n(i) with respect to i.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/4 - 2*x**3 - x**2\/2 + 3*x - 18. Let f be b(5). Is f > -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31387 * -5.\nAnswer: -156935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(880))\/sqrt(5) + (sqrt(275)\/sqrt(5)*-1)\/sqrt(5).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.57 - 12.55927. Round r to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -117.\nAnswer: -7\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.3 (b) 2\/19 (c) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 20057 = -14*a + 111265. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/8531720?\nAnswer: -1\/8531720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20710 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42344479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4693*z - 15454?\nAnswer: -4693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o + 5*s + 184845, 0 = o + 2*s - 36975. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 5*k + 5. Let m be c(-4). Suppose -m = -2*y + 15. Let h = 11 + y. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/29 and 22\/2*(-165)\/231?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6*g)\/g)\/(g\/(g\/((g\/((((g*g\/(g*g**(-8)\/g))\/g*g)\/g*g)\/g))\/g*g))) assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -374160 - 4?\nAnswer: -374164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2714*u**4 - 44869*u wrt u.\nAnswer: -32568*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 4. Let t be a(-6). Let l(q) = -5*q**3 + 3*q**2 + 4*q - 5. Let z(y) = 3*y**3 - y**2 - 2*y + 3. Let r(m) = -4*l(m) - 7*z(m). What is r(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/5 - 31*z**4 + 1472*z**3 - 4232*z**2 + 115*z. Factor g(n).\nAnswer: 4*(n - 46)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-11)*((l\/(l**(2\/31)*l))\/l)\/l assuming l is positive.\nAnswer: l**(-405\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l - 6 = 0. Suppose -l*i = -x + 2344 + 1343, 2*x - 7356 = -5*i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957\/306239 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1056)\/(-24))\/(-47960)*10.\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762636?\nAnswer: 2, 3, 7, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19111555*g + 16213349 wrt g.\nAnswer: -19111555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -1.1. Let c = d - 0.24. What is the smallest value in -0.2, c, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*t + 3*s - s, -t + 9 = -2*s. Let u be ((-6)\/t)\/(4\/(-3)). Sort u, 2, -5 in decreasing order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -j. Suppose -3*f = -3*q, -2*q + 4*q + 5*f = 21. Solve -4*h = j*k, k - q*h - 6 = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28340 + -1700341\/60. Calculate the common denominator of 71\/42 and i.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s - 2. Let z(q) = 220*q - 22. Let w(i) = -174*i + 18. Let a(j) = 4*w(j) + 3*z(j). Calculate 2*a(n) + 7*h(n).\nAnswer: 12*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 5*q**2 + 7*q + 6. Let l be o(-6). Suppose -15 + l = -k - 3*g, -4*k = -5*g + 8. Solve -k*f = 5*c - 12, c - 1 = -f + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:41 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -6 + 96 + 7. Is u at most 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 7*m**2 - 7*m - 1. Is z(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**5\/2 - 519*f**4\/2 + 38131*f**3\/6 - 94043*f**2\/6 - 62281*f\/3 - 4940 = 0.\nAnswer: -195, -2\/3, -1\/3, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 22\/(-26)) + 170280\/(-5031). Let m = 127 + -64. Let o = m + d. Calculate the remainder when o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uudrfvrrvdrujruvrd. Give prob of sequence vrr.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 10*l - 10. Let j(o) = -o + 1. Let n(q) = 2*i(q) + 18*j(q). Suppose -2*p - 2*p + 116 = 0. What is the remainder when p is divided by n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3282 + 3278. Which is the nearest to 7? (a) 15 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1396776 and -90178.\nAnswer: -1486954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 30. Let p be (-2)\/(-10) - (-594)\/b. Suppose -4*t + p + 48 = -2*k, -5*t + 4*k = -88. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 15005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/301865 and 1\/32?\nAnswer: 9659680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*w + 101, 8*w - 4*m = 10*w + 56. Let x = w - -31. Solve -6 = -x*v + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1154 - -5466. Calculate the highest common divisor of i and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 + -2)) + -10 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29750509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -1. Let t(d) be the first derivative of -2*d**3\/3 - d**2 + 3*d + 1. Let n = 729 + -731. Let z(r) = -r**2 - r + 1. What is a*z(u) + n*t(u)?\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w + 4*w)*(-16560 - 2620 + 880).\nAnswer: 18300*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3 - 266\/(-91)). Let u(v) = -v**3 - 12*v**2 + 14*v + 17. What is the remainder when u(w) is divided by 2\/(2\/6*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7636837 to the nearest integer?\nAnswer: 2763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15906 and 3959148.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 + 2*u**2 - 3*u + 3. Let s be x(3). Let g = s + -112. Solve 2 = -2*o - g, -3*r + 5*o = -34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**22*x)**(1\/25))**(2\/107) assuming x is positive.\nAnswer: x**(48\/2675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 725*c + 2. Let p(s) = 329*s + 1. What is 6*b(t) - 14*p(t)?\nAnswer: -256*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 11 = 5*w - 51, 2*w = -3*a + 16. Suppose -w = -2*r - 4. Let i(l) = -l**2 + 9*l - 4. Calculate the lowest common multiple of r and i(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 16\/7*f - 4\/7*f**3 + 0 + 0*f**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*z + 21 = 3*k, -3*k - 2*z = -3. Let g(c) = -c**3 + 3*c**2 - 2. Calculate g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 998 = -h - o, 0 = 3*o + 12. Suppose 0 = -4*d + 2*j + 3868, 0 = 5*d - 2*j - 7253 + 2418. Let a = h + d. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 7 - 25*i + 11 as n*i + d and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 - 30*q**2 + 3 + 0.\nAnswer: -30*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + h + 226*h**2 - 227*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -0.1, 1\/5, 79 in increasing order.\nAnswer: -7, -0.1, 1\/5, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d. Suppose d = -4*b - 0*b + 56. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v - 172. Calculate i(13).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:27 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 3. Let b(o) = 4*o - 5. Let v = 39 + -44. Give v*t(c) - 3*b(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -53304 (base 11) in base 2?\nAnswer: -10010111011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -3, -50, 8, 2 in descending order.\nAnswer: 8, 2, 1, -2, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -281 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1511819, 3023668, 4535519, 6047372?\n\"Answer: y**2 + 1511846*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - 2*h)*(294*h**2 + 676*h**2 + 10772*h - 10772*h) - h**3 + 0*h + 0*h.\nAnswer: 969*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than -3854?\nAnswer: -3853.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qyqqppyq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3402) + sqrt(3402)*2)*6 - 6*1*sqrt(3402))\/((sqrt(168)\/(sqrt(12)\/sqrt(3) - sqrt(4) - sqrt(4)))\/((sqrt(112) - 2*sqrt(112)) + sqrt(7) - sqrt(7))).\nAnswer: 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q**2 - 5. Let s = -117 + 117. Let j be p(s). Sort -10, 4, j, 0 in increasing order.\nAnswer: -10, j, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298337?\nAnswer: 13, 53, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -312.27 - -315. Let h = g + 2.27. Let f = -12 - -11.85. Which is the nearest to f? (a) h (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374954446 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: Solve -4*q - 16 = -4, 0 = -r - 2*q - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 4 (c) 26\/15 (d) 3.4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/5*6\/(-16)*-30*66\/399465\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 20*x**3 - x**2 + 2*x - 1. Let z(u) = 2*u**2 + 7*u + 34. What is the remainder when z(-4) is divided by n(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:44 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 - 2. Let d(j) = -4*j**2 - 2. Suppose -29 = -5*o + 1. Let p(c) = o*b(c) - 5*d(c). Find the first derivative of p(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.87 - 6.3. Let k = -0.444 - 0.066. Let h = k - n. Which is the nearest to h? (a) 5\/2 (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/17 - 10732*h**3\/17 + 5548008*h**2\/17 - 44309204*h - 758815210\/17 = 0. What is h?\nAnswer: -1, 281, 4805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:22 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 1:23 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 773, 778, 783, 788, 793, 798?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v - 90 = 42*v. Which is bigger: v or 24\/319?\nAnswer: 24\/319","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0435216 to four dps.\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*g + 18 = 4*g, -3*g - 27 = -5*q. Let f = 6 - q. Let c(p) = -p**3 + 3*p**2 - 3. What is c(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.354064 rounded to 1 decimal place?\nAnswer: 103.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z**2 + 62*z - 883. Give f(-9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0271092 to 4 decimal places.\nAnswer: 0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-12))\/((-2)\/(-9)). Let l be k*3\/6*2. Factor 3 - 3 - i**l - i**2.\nAnswer: -i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000314 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 53 - -23) + 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f + 8. Let c be a(2). What is the highest common divisor of 308 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-2*sqrt(304))**2 - sqrt(304)) + -4 + 5 + sqrt(304)*-2)*6.\nAnswer: -72*sqrt(19) + 7314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2251 + -3102?\nAnswer: -5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y - 1. Let m(j) = j**2 - j + 1. Calculate -4*f(d) - 4*m(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2692606 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**8\/336 + 5*f**4\/12 + 53*f**2. Find the second derivative of z(s) wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 135277346 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 14*m + 6. Let c be u(9). Let b = c - -57. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 504 = 10*h. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291496 is divided by 441.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 750 = 8*f. Let o = -119 - f. Solve 2*n = 3*n - 3*h + 10, -3*n - o = -h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13725139177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*-1 + -2*(sqrt(3) + -2)**2 + sqrt(36)\/(5*sqrt(12)*-2).\nAnswer: -14 - 11*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Let p(f) be the second derivative of f**5\/20 + f**3\/6 + f**2 - 2*f. Let c be p(0). Let o(n) = 7*n + n**c - 7*n. Determine v(o(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 4, l: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h + 12. Let x = h - -8. Let p be (x + 2)\/2 + 4. Solve 0 = -d + p*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}