text stringlengths 36 215 | instruction_seed stringlengths 5 160 | response_seed stringlengths 1 30 |
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{"question": "In base 2, what is 11000111101 + 1100111?", "answer": "11010100100"} | In base 2, what is 11000111101 + 1100111? | 11010100100 |
{"question": "Which is the closest to 0.2? (a) -1 (b) -4 (c) -5/3 (d) 0.1", "answer": "d"} | Which is the closest to 0.2? (a) -1 (b) -4 (c) -5/3 (d) 0.1 | d |
{"question": "Round -15.223278 to zero decimal places.", "answer": "-15"} | Round -15.223278 to zero decimal places. | -15 |
{"question": "Express -2*l + 4*l - 5*l + 2*l + 34 in the form m*l + y and give y.", "answer": "34"} | Express -2*l + 4*l - 5*l + 2*l + 34 in the form m*l + y and give y. | 34 |
{"question": "Product of 1610.13 and -7.", "answer": "-11270.91"} | Product of 1610.13 and -7. | -11270.91 |
{"question": "Work out -25837 * -0.8.", "answer": "20669.6"} | Work out -25837 * -0.8. | 20669.6 |
{"question": "What is the highest common divisor of 6450 and 102391600?", "answer": "2150"} | What is the highest common divisor of 6450 and 102391600? | 2150 |
{"question": "Which is smaller: 0 or -8/2487?", "answer": "-8/2487"} | Which is smaller: 0 or -8/2487? | -8/2487 |
{"question": "Suppose 0 = 4*l - 16 - 4. Let r(u) = -9*u + 0*u + l*u. Let v(y) = -y**2. Give v(r(n)).", "answer": "-16*n**2"} | Suppose 0 = 4*l - 16 - 4. Let r(u) = -9*u + 0*u + l*u. Let v(y) = -y**2. Give v(r(n)). | -16*n**2 |
{"question": "Suppose -2*z = -2*v - 92, 4*z + 2*v - 155 = 53. Suppose 4*u + 3*y - 64 = -y, 4*u - z = 3*y. Calculate the remainder when u is divided by 11.", "answer": "3"} | Suppose -2*z = -2*v - 92, 4*z + 2*v - 155 = 53. Suppose 4*u + 3*y - 64 = -y, 4*u - z = 3*y. Calculate the remainder when u is divided by 11. | 3 |
{"question": "Two letters picked without replacement from qqccqwaqqqwwqqac. What is prob of sequence cw?", "answer": "3/80"} | Two letters picked without replacement from qqccqwaqqqwwqqac. What is prob of sequence cw? | 3/80 |
{"question": "Let h = 15 - 5. What is the highest common factor of 90 and h?", "answer": "10"} | Let h = 15 - 5. What is the highest common factor of 90 and h? | 10 |
{"question": "-0.794+-7", "answer": "-7.794"} | -0.794+-7 | -7.794 |
{"question": "Suppose 2*b = -h + 4, -3*h + 0*b = 3*b. What is the second smallest value in 1/4, h, 1.17?", "answer": "1/4"} | Suppose 2*b = -h + 4, -3*h + 0*b = 3*b. What is the second smallest value in 1/4, h, 1.17? | 1/4 |
{"question": "Sort -1, 84.1, -603 in descending order.", "answer": "84.1, -1, -603"} | Sort -1, 84.1, -603 in descending order. | 84.1, -1, -603 |
{"question": "Simplify sqrt(95)/(5*sqrt(5)) + sqrt(171)/sqrt(36).", "answer": "7*sqrt(19)/10"} | Simplify sqrt(95)/(5*sqrt(5)) + sqrt(171)/sqrt(36). | 7*sqrt(19)/10 |
{"question": "Is 108 a factor of 580857299?", "answer": "False"} | Is 108 a factor of 580857299? | False |
{"question": "Factor s**3/2 - 43*s**2/2 + 220*s + 242.", "answer": "(s - 22)**2*(s + 1)/2"} | Factor s**3/2 - 43*s**2/2 + 220*s + 242. | (s - 22)**2*(s + 1)/2 |
{"question": "Which is the closest to 0.2? (a) 204 (b) -2 (c) 2/15 (d) -5 (e) -92", "answer": "c"} | Which is the closest to 0.2? (a) 204 (b) -2 (c) 2/15 (d) -5 (e) -92 | c |
{"question": "Suppose 1 = x - 3. Suppose 2 + 2 = 2*f, -x*m - 72 = 4*f. Let h = 21 + m. Solve -9 + h = -4*o for o.", "answer": "2"} | Suppose 1 = x - 3. Suppose 2 + 2 = 2*f, -x*m - 72 = 4*f. Let h = 21 + m. Solve -9 + h = -4*o for o. | 2 |
{"question": "Let c be -24*(3 + 1524/16). Let v = 3389 + c. Is v a composite number?", "answer": "False"} | Let c be -24*(3 + 1524/16). Let v = 3389 + c. Is v a composite number? | False |
{"question": "In base 5, what is -32131412134 + -43?", "answer": "-32131412232"} | In base 5, what is -32131412134 + -43? | -32131412232 |
{"question": "What is prob of picking 2 r and 1 i when three letters picked without replacement from {r: 2, i: 7}?", "answer": "1/12"} | What is prob of picking 2 r and 1 i when three letters picked without replacement from {r: 2, i: 7}? | 1/12 |
{"question": "Let m(s) = s**3 + s**2 + s - 1. Let g(v) be the first derivative of 13*v**4/2 + v**3/3 + v**2/2 - v + 1736. Determine -2*g(x) + 2*m(x).", "answer": "-50*x**3"} | Let m(s) = s**3 + s**2 + s - 1. Let g(v) be the first derivative of 13*v**4/2 + v**3/3 + v**2/2 - v + 1736. Determine -2*g(x) + 2*m(x). | -50*x**3 |
{"question": "Round -1.37 to one decimal place.", "answer": "-1.4"} | Round -1.37 to one decimal place. | -1.4 |
{"question": "Let i(h) = 38*h**2 - 28*h - 30. Calculate the least common multiple of i(-8) and 6.", "answer": "7878"} | Let i(h) = 38*h**2 - 28*h - 30. Calculate the least common multiple of i(-8) and 6. | 7878 |
{"question": "Suppose -2*k = -2*p - 20, 2*k - p - 10 = 14. Suppose 4*w - 20 = 0, 0*a = a + 3*w - k. Which is smaller: a or 1/25?", "answer": "a"} | Suppose -2*k = -2*p - 20, 2*k - p - 10 = 14. Suppose 4*w - 20 = 0, 0*a = a + 3*w - k. Which is smaller: a or 1/25? | a |
{"question": "What is 1306000 rounded to the nearest 10000?", "answer": "1310000"} | What is 1306000 rounded to the nearest 10000? | 1310000 |
{"question": "Calculate -1518 divided by 1.", "answer": "-1518"} | Calculate -1518 divided by 1. | -1518 |
{"question": "Rearrange 2*j**4 - 11*j**3 + 11*j**3 + (-5*j**2 + j**2 + j**2 + (3 + 2*j - 3)*(j - 2*j + 2*j))*(j**2 + 1 - 1) to h*j**3 + n + r*j + q*j**2 + g*j**4 and give g.", "answer": "1"} | Rearrange 2*j**4 - 11*j**3 + 11*j**3 + (-5*j**2 + j**2 + j**2 + (3 + 2*j - 3)*(j - 2*j + 2*j))*(j**2 + 1 - 1) to h*j**3 + n + r*j + q*j**2 + g*j**4 and give g. | 1 |
{"question": "Let s = 1102 + -1097. What is the highest common divisor of s and 875?", "answer": "5"} | Let s = 1102 + -1097. What is the highest common divisor of s and 875? | 5 |
{"question": "Calculate the remainder when 15762047 is divided by 5254008.", "answer": "23"} | Calculate the remainder when 15762047 is divided by 5254008. | 23 |
{"question": "Let h be 3/((-2)/(-10)*-1). Let a = -10 - h. Let o = 65/3 - 21. Sort 6, o, a in ascending order.", "answer": "o, a, 6"} | Let h be 3/((-2)/(-10)*-1). Let a = -10 - h. Let o = 65/3 - 21. Sort 6, o, a in ascending order. | o, a, 6 |
{"question": "What is 0.3391 rounded to 2 dps?", "answer": "0.34"} | What is 0.3391 rounded to 2 dps? | 0.34 |
{"question": "Express (-26169 + 45379 - 26701)*(-p - 1 + 0 + 3*p) as z + k*p and give z.", "answer": "7491"} | Express (-26169 + 45379 - 26701)*(-p - 1 + 0 + 3*p) as z + k*p and give z. | 7491 |
{"question": "Let c = 0.09 + 7.91. Let g be 1/(-9)*(1436 + -1436). What is the third smallest value in g, 0.06, 2/7, c?", "answer": "2/7"} | Let c = 0.09 + 7.91. Let g be 1/(-9)*(1436 + -1436). What is the third smallest value in g, 0.06, 2/7, c? | 2/7 |
{"question": "What is the common denominator of 1/8*(-71)/(-5) and 35/12?", "answer": "120"} | What is the common denominator of 1/8*(-71)/(-5) and 35/12? | 120 |
{"question": "Calculate the lowest common multiple of 264 and 20160459.", "answer": "161283672"} | Calculate the lowest common multiple of 264 and 20160459. | 161283672 |
{"question": "What is -362 (base 9) in base 8?", "answer": "-453"} | What is -362 (base 9) in base 8? | -453 |
{"question": "Express -3 + 3 - 2*j + (-1 - 4 + 3)*(0*j + j - 3*j) + 0*j + j + 2*j + (1 - 1 - j)*(1 + 2 - 1) in the form r + y*j and give y.", "answer": "3"} | Express -3 + 3 - 2*j + (-1 - 4 + 3)*(0*j + j - 3*j) + 0*j + j + 2*j + (1 - 1 - j)*(1 + 2 - 1) in the form r + y*j and give y. | 3 |
{"question": "Suppose 4*j = -0*s + 5*s - 17262, 0 = 3*s + 5*j - 10372. What is the thousands digit of s?", "answer": "3"} | Suppose 4*j = -0*s + 5*s - 17262, 0 = 3*s + 5*j - 10372. What is the thousands digit of s? | 3 |
{"question": "Rearrange 42 - 30 + 12*o**2 - 25 + 2*o + 9 to the form j*o**2 + c*o + q and give q.", "answer": "-4"} | Rearrange 42 - 30 + 12*o**2 - 25 + 2*o + 9 to the form j*o**2 + c*o + q and give q. | -4 |
{"question": "What is the common denominator of -11/600 and -187/1800?", "answer": "1800"} | What is the common denominator of -11/600 and -187/1800? | 1800 |
{"question": "Rearrange (u + 5*u - 3*u)*(-9*u - 11*u**2 + 9*u)*(-3*u + 4*u + 4*u) to the form k*u**3 + t*u**2 + y*u**4 + c + w*u and give y.", "answer": "-165"} | Rearrange (u + 5*u - 3*u)*(-9*u - 11*u**2 + 9*u)*(-3*u + 4*u + 4*u) to the form k*u**3 + t*u**2 + y*u**4 + c + w*u and give y. | -165 |
{"question": "List the prime factors of 893144987.", "answer": "7, 29, 4399729"} | List the prime factors of 893144987. | 7, 29, 4399729 |
{"question": "Let n = -45/152 + -7175/152. Calculate the common denominator of n and -69/1648.", "answer": "1648"} | Let n = -45/152 + -7175/152. Calculate the common denominator of n and -69/1648. | 1648 |
{"question": "Sort 10, -19, 1, -3, 3 in descending order.", "answer": "10, 3, 1, -3, -19"} | Sort 10, -19, 1, -3, 3 in descending order. | 10, 3, 1, -3, -19 |
{"question": "Solve 28*c - 9*c = 57 for c.", "answer": "3"} | Solve 28*c - 9*c = 57 for c. | 3 |
{"question": "What is the p'th term of 34, 42, 56, 76, 102, 134?", "answer": "3*p**2 - p + 32"} | What is the p'th term of 34, 42, 56, 76, 102, 134? | 3*p**2 - p + 32 |
{"question": "Suppose 0 = 31*y + 3*y - 13702. Let q = y - 400. Suppose -m + 21 + 3 = 0. Calculate the highest common divisor of q and m.", "answer": "3"} | Suppose 0 = 31*y + 3*y - 13702. Let q = y - 400. Suppose -m + 21 + 3 = 0. Calculate the highest common divisor of q and m. | 3 |
{"question": "Sort 1, 0, 3912, -3, -5 in ascending order.", "answer": "-5, -3, 0, 1, 3912"} | Sort 1, 0, 3912, -3, -5 in ascending order. | -5, -3, 0, 1, 3912 |
{"question": "909 times -55.43", "answer": "-50385.87"} | 909 times -55.43 | -50385.87 |
{"question": "Find the first derivative of -2803248*g**2 - g - 7135307.", "answer": "-5606496*g - 1"} | Find the first derivative of -2803248*g**2 - g - 7135307. | -5606496*g - 1 |
{"question": "Let s(g) = -g**2 + 6*g + 2. Let c be s(6). Suppose -46 - 94 = -c*k. What is the remainder when k is divided by 24?", "answer": "22"} | Let s(g) = -g**2 + 6*g + 2. Let c be s(6). Suppose -46 - 94 = -c*k. What is the remainder when k is divided by 24? | 22 |
{"question": "What is the second biggest value in 0.3, -0.5, 8860?", "answer": "0.3"} | What is the second biggest value in 0.3, -0.5, 8860? | 0.3 |
{"question": "Simplify sqrt(95)/(sqrt(30)/(sqrt(6)*1)).", "answer": "sqrt(19)"} | Simplify sqrt(95)/(sqrt(30)/(sqrt(6)*1)). | sqrt(19) |
{"question": "In base 4, what is 113332 - -1031322?", "answer": "1211320"} | In base 4, what is 113332 - -1031322? | 1211320 |
{"question": "Is 14191129 prime?", "answer": "True"} | Is 14191129 prime? | True |
{"question": "Which is smaller: 0 or -21/6283?", "answer": "-21/6283"} | Which is smaller: 0 or -21/6283? | -21/6283 |
{"question": "Suppose -13*s = -8*s - 20. Let n = -13 + s. Is n >= -9?", "answer": "True"} | Suppose -13*s = -8*s - 20. Let n = -13 + s. Is n >= -9? | True |
{"question": "What is -24 + 17 - ((8 - 4) + -3)?", "answer": "-8"} | What is -24 + 17 - ((8 - 4) + -3)? | -8 |
{"question": "Let x = -0.597 - 0.153. Let u = 1.75 + x. What is the nearest to 2/3 in u, 5, 8?", "answer": "u"} | Let x = -0.597 - 0.153. Let u = 1.75 + x. What is the nearest to 2/3 in u, 5, 8? | u |
{"question": "Suppose 84*f = 823 + 437. Calculate the smallest common multiple of f and 78.", "answer": "390"} | Suppose 84*f = 823 + 437. Calculate the smallest common multiple of f and 78. | 390 |
{"question": "Which is the biggest value? (a) -0.1 (b) 0 (c) -2/19 (d) -1/19 (e) 7", "answer": "e"} | Which is the biggest value? (a) -0.1 (b) 0 (c) -2/19 (d) -1/19 (e) 7 | e |
{"question": "Let r = 13 + -18. Let m be (-8 - (2 + r))*-1. Suppose -10 - 105 = -m*p. List the prime factors of p.", "answer": "23"} | Let r = 13 + -18. Let m be (-8 - (2 + r))*-1. Suppose -10 - 105 = -m*p. List the prime factors of p. | 23 |
{"question": "Let b(y) = 29*y + 85. Is b(21) prime?", "answer": "False"} | Let b(y) = 29*y + 85. Is b(21) prime? | False |
{"question": "Expand (-37 - 29 - 108)*(-1 + 1 - h).", "answer": "174*h"} | Expand (-37 - 29 - 108)*(-1 + 1 - h). | 174*h |
{"question": "Let x = -26.99193 - -27. What is x rounded to 4 decimal places?", "answer": "0.0081"} | Let x = -26.99193 - -27. What is x rounded to 4 decimal places? | 0.0081 |
{"question": "Let x = 7.31 - 6.7. Let k = x - 0.11. Let y be ((-4)/10)/(22/(-10)). What is the second smallest value in k, 2, y?", "answer": "k"} | Let x = 7.31 - 6.7. Let k = x - 0.11. Let y be ((-4)/10)/(22/(-10)). What is the second smallest value in k, 2, y? | k |
{"question": "Find the third derivative of -5*p**4 + 13*p**2 - 18*p**2 + 165*p**4 - 6*p**2 wrt p.", "answer": "3840*p"} | Find the third derivative of -5*p**4 + 13*p**2 - 18*p**2 + 165*p**4 - 6*p**2 wrt p. | 3840*p |
{"question": "What is (10/(-1) - (-2464)/231)*(-6)/(-2)?", "answer": "2"} | What is (10/(-1) - (-2464)/231)*(-6)/(-2)? | 2 |
{"question": "Suppose 0*p + 3*z + 15 = p, -4*p + 60 = 3*z. Suppose 336 = 2*c + 6*c. Calculate the remainder when c is divided by p.", "answer": "12"} | Suppose 0*p + 3*z + 15 = p, -4*p + 60 = 3*z. Suppose 336 = 2*c + 6*c. Calculate the remainder when c is divided by p. | 12 |
{"question": "Let a = -0.081995 + 3.081995. Let q(l) = 8*l + 6. Let c be q(-4). What is the second smallest value in -5, a, c, -3?", "answer": "-5"} | Let a = -0.081995 + 3.081995. Let q(l) = 8*l + 6. Let c be q(-4). What is the second smallest value in -5, a, c, -3? | -5 |
{"question": "-503045374520605 - -5", "answer": "-503045374520600"} | -503045374520605 - -5 | -503045374520600 |
{"question": "Which is the nearest to -30.9? (a) -1 (b) 1.7 (c) -379", "answer": "a"} | Which is the nearest to -30.9? (a) -1 (b) 1.7 (c) -379 | a |
{"question": "Let a(h) = -215391*h + 305. Let c(o) = -2*o**2. Determine a(c(s)).", "answer": "430782*s**2 + 305"} | Let a(h) = -215391*h + 305. Let c(o) = -2*o**2. Determine a(c(s)). | 430782*s**2 + 305 |
{"question": "Let k = -5.61 + -41.99. Let x = -7.88 - -55.88. Let s = k + x. Sort 2, -4, s in ascending order.", "answer": "-4, s, 2"} | Let k = -5.61 + -41.99. Let x = -7.88 - -55.88. Let s = k + x. Sort 2, -4, s in ascending order. | -4, s, 2 |
{"question": "Simplify ((f**(-5))**(-1/4)/(f**(8/9)*(f*f**(-8/9)*f)/f*f))**(-16) assuming f is positive.", "answer": "f**12"} | Simplify ((f**(-5))**(-1/4)/(f**(8/9)*(f*f**(-8/9)*f)/f*f))**(-16) assuming f is positive. | f**12 |
{"question": "Let j(w) be the third derivative of w**7/315 - 7*w**6/180 - w**5/90 + 7*w**4/36 + 3*w**2 - 57*w. Factor j(c).", "answer": "2*c*(c - 7)*(c - 1)*(c + 1)/3"} | Let j(w) be the third derivative of w**7/315 - 7*w**6/180 - w**5/90 + 7*w**4/36 + 3*w**2 - 57*w. Factor j(c). | 2*c*(c - 7)*(c - 1)*(c + 1)/3 |
{"question": "Let y(q) be the second derivative of 0*q**3 + 2*q**2 + 0*q**4 - 1/15*q**5 - 7*q + 0 + 1/30*q**6. Let i(u) be the first derivative of y(u). Factor i(d).", "answer": "4*d**2*(d - 1)"} | Let y(q) be the second derivative of 0*q**3 + 2*q**2 + 0*q**4 - 1/15*q**5 - 7*q + 0 + 1/30*q**6. Let i(u) be the first derivative of y(u). Factor i(d). | 4*d**2*(d - 1) |
{"question": "Collect the terms in 52*n + 46*n + 1967*n**2 - 148*n + 50*n.", "answer": "1967*n**2"} | Collect the terms in 52*n + 46*n + 1967*n**2 - 148*n + 50*n. | 1967*n**2 |
{"question": "Is 510 a multiple of 85?", "answer": "True"} | Is 510 a multiple of 85? | True |
{"question": "Let i(l) = l**2 + 18*l - 17 + 58 + 14*l - 47*l + 27*l. Determine i(-9).", "answer": "14"} | Let i(l) = l**2 + 18*l - 17 + 58 + 14*l - 47*l + 27*l. Determine i(-9). | 14 |
{"question": "Suppose 0 = -0*a - 5*a + 30. Let j = -2 + a. Solve -3*l + 5 = -2*x - 8*l, 4*l = 4*x - j for x.", "answer": "0"} | Suppose 0 = -0*a - 5*a + 30. Let j = -2 + a. Solve -3*l + 5 = -2*x - 8*l, 4*l = 4*x - j for x. | 0 |
{"question": "Calculate ((-42)/(36/6))/1.", "answer": "-7"} | Calculate ((-42)/(36/6))/1. | -7 |
{"question": "-977 times 0.28", "answer": "-273.56"} | -977 times 0.28 | -273.56 |
{"question": "Convert 14520554 (base 6) to base 14.", "answer": "d3314"} | Convert 14520554 (base 6) to base 14. | d3314 |
{"question": "Evaluate (3363/(-76))/(198/(-88)) - 19.", "answer": "2/3"} | Evaluate (3363/(-76))/(198/(-88)) - 19. | 2/3 |
{"question": "Let v(s) = 2548*s - 5. Suppose -8*n - 6*n = -42. Is v(n) a composite number?", "answer": "False"} | Let v(s) = 2548*s - 5. Suppose -8*n - 6*n = -42. Is v(n) a composite number? | False |
{"question": "Differentiate -2*a*d*q**2 - 8*a*d + 72*a*q**2 + 3234*d*q**2 + 1737*q**2 wrt d.", "answer": "-2*a*q**2 - 8*a + 3234*q**2"} | Differentiate -2*a*d*q**2 - 8*a*d + 72*a*q**2 + 3234*d*q**2 + 1737*q**2 wrt d. | -2*a*q**2 - 8*a + 3234*q**2 |
{"question": "What is 1102 divided by -58?", "answer": "-19"} | What is 1102 divided by -58? | -19 |
{"question": "Calculate prob of sequence baaa when four letters picked without replacement from aaaooaoaboaiaboaao.", "answer": "7/510"} | Calculate prob of sequence baaa when four letters picked without replacement from aaaooaoaboaiaboaao. | 7/510 |
{"question": "Calculate -0.4 + 3.2963892008.", "answer": "2.8963892008"} | Calculate -0.4 + 3.2963892008. | 2.8963892008 |
{"question": "Round -2.41758 to two dps.", "answer": "-2.42"} | Round -2.41758 to two dps. | -2.42 |
{"question": "(5 - 82/14)*(-182)/(-78)", "answer": "-2"} | (5 - 82/14)*(-182)/(-78) | -2 |
{"question": "Let w(a) = a**2 - 12*a - 69. Let v be w(-10). Let f = v - 140. Solve 10 = 3*q - 5*l, -f = -3*q - 0*q + 4*l for q.", "answer": "5"} | Let w(a) = a**2 - 12*a - 69. Let v be w(-10). Let f = v - 140. Solve 10 = 3*q - 5*l, -f = -3*q - 0*q + 4*l for q. | 5 |
{"question": "Suppose 4*g + 214 = -v, -3*g + 5*v - 172 = -0*g. Let s = g - -55. Is s not equal to -2/65?", "answer": "True"} | Suppose 4*g + 214 = -v, -3*g + 5*v - 172 = -0*g. Let s = g - -55. Is s not equal to -2/65? | True |
{"question": "Let r be (2 - 14/4)*2. Let j(c) be the third derivative of -5*c**4/24 - 12*c**3 - 65*c**2. Let x be j(-15). Put r, x, 4 in descending order.", "answer": "4, x, r"} | Let r be (2 - 14/4)*2. Let j(c) be the third derivative of -5*c**4/24 - 12*c**3 - 65*c**2. Let x be j(-15). Put r, x, 4 in descending order. | 4, x, r |
{"question": "Let f = -327 - -498. List the prime factors of f.", "answer": "3, 19"} | Let f = -327 - -498. List the prime factors of f. | 3, 19 |
{"question": "Let m = -100 - -140. Suppose -o = z - 134, -125*o - 5*z = -123*o - 286. Calculate the remainder when o is divided by m.", "answer": "8"} | Let m = -100 - -140. Suppose -o = z - 134, -125*o - 5*z = -123*o - 286. Calculate the remainder when o is divided by m. | 8 |
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