 - 517. Let m = 15111/16 + x. Find the common denominator of m and 131/18.
144
Suppose -5*r = 15, -6*r - 8 = 2*a - 2*r. Calculate the smallest common multiple of a and 14.
14
Let o(s) = 2*s**2 + 30*s + 14. What is the smallest common multiple of o(-15) and 4?
28
Let o = 462211/13 + -35469. Let d = o - 14135/156. What is the common denominator of -19/20 and d?
60
Let g be (-16)/(-6)*(-15)/(-10). What is the common denominator of g/(-2) - 7/14 and 7/2?
2
Suppose 5*f - 71 = -11. Suppose -p + 1 + 3 = 0. Calculate the least common multiple of f and p.
12
Let b = -1886/7 + 269. Let h be 5/(-10)*(0 + -4). What is the common denominator of (h/4)/((-12)/(-100)) and b?
42
Let v be -1 - (310350/33)/(-2). Let b = v + -4706. Find the common denominator of b and -9/7.
77
Suppose 43 + 7 = 5*a. Let t be -68*(a/(-4))/(-5). Find the common denominator of 16/(-88)*t/8 and -101/6.
66
Let o = -65 - -83. What is the lowest common multiple of o and ((-12)/(-15))/((-4)/(-10))?
18
Suppose 2*p + 8 = 12. What is the smallest common multiple of 8 and p?
8
Let m(c) = 5*c. Let r be 3 + 18/3 - 0. Let f = r - 6. Calculate the smallest common multiple of m(2) and f.
30
Let s be (27/6*-4)/(-2). Let c be 132*(s/6 + 2). Find the common denominator of c/(-32)*4/(-6) and -79/8.
8
What is the common denominator of 27/8 and 3/(-6) - (-92)/6?
24
Let z = -8 - -17. Suppose -63 = -3*n + 102. Suppose -w - n = -6*w. What is the smallest common multiple of w and z?
99
Suppose 3*v - 2*v - 24 = -2*f, f = 4*v + 30. Calculate the least common multiple of 12 and f.
84
Let b = 22561/950 - 406/19. What is the common denominator of -79/10 and b?
50
Let l(n) = n**2 - 4*n + 3. Let p be l(3). Suppose 2*x - 33 = -5*a, p*a - 30 = -2*a - 5*x. What is the smallest common multiple of a and 7*1 + 6/(-3)?
5
Let n(z) = z**3 + 7*z**2 - 7*z + 11. Let v be n(-8). What is the lowest common multiple of 16 and -1 - ((-18)/v + -1)?
48
Suppose o - 32 = -0*o - g, 2*o = -5*g + 55. What is the common denominator of o and 31/6?
6
Let p be 16/(-2) - 0/2. Let a be p/28 + 6005/(-28). Let g = a + 236. Calculate the common denominator of g and -55/6.
12
Calculate the common denominator of (83/(-24))/1 + 10 + -10 and -25/3.
24
Suppose -15 = -s + 3. Let o = -8 + s. What is the least common multiple of o and 12?
60
Let m = 0 + 3. Let h be m - 1 - 32/(-4). Find the common denominator of 2/4*h/(-8) and 7/6.
24
Calculate the lowest common multiple of (21/(-7))/(6/(-8)) and 16.
16
Let c = -2817 + 22609/8. Let r = -77/3 + 13. Find the common denominator of r and c.
24
Suppose -4*w + w = -2*r - 1, -4*r = 5*w - 31. Let y be -2 + 2 + -3 + 0. What is the lowest common multiple of r and (-8)/y*3/2?
4
Let b = 67/6 + -59/2. Suppose -3*z + z = 4*v - 12, -2*z = 3*v - 8. Find the common denominator of z and b.
3
Let c = 5063 - 70915/14. Calculate the common denominator of (-4)/14 + 47/14 and c.
14
Let p = -10 + 6. Let v be (p/(-6))/((-3)/(-18)). Suppose 3*w + 5*s - 15 = 17, -64 = -v*w + 4*s. What is the smallest common multiple of 10 and w?
70
Let j = 8 - 6. Suppose 0 = f + 3*d - 5 + 2, 4*f = -j*d + 42. What is the least common multiple of f and 1/2*-2 + 3?
12
Let g(t) = -2*t + 1 - t**3 + 4*t**3 + 5*t**3. Calculate the least common multiple of g(1) and -8*1/(0 + -1).
56
Suppose -2*k - 1 + 7 = 0, -18 = -5*x + 4*k. Suppose 3*g = -3*c - x, 3*g = 5*g - 5*c - 24. Calculate the least common multiple of g and 6.
6
Calculate the common denominator of -31/8 and (2355/(-126))/(-5) + (-4)/2.
168
Suppose -3*c + b = 5492, 0*c + 2*b = 2*c + 3668. Let i = -16477/9 - c. Calculate the common denominator of i and -151/6.
18
Let i(g) = g**2 + 11*g + 1. Let q be i(-7). Calculate the common denominator of 25/6 and (5/(-6))/(11/q).
66
Let w be (-2)/(-3) + (-40)/(-3). Let h = w + -9. Suppose h*t = 3*s + 62, -2*t = -0*t - 4*s - 36. Calculate the least common multiple of t and 12.
60
Let v = 88 - 152. Calculate the least common multiple of 6 and (-15)/(-25) + v/(-10).
42
Let g = 1217/2 - 1897/3. Find the common denominator of 4 + (-87)/21 - 3 and g.
42
Suppose 7 = 2*z + 1. Suppose z*y = -5*b - 108, -4*b - y = -13 + 105. Calculate the common denominator of (-267)/b - 0 - 3 and 1/4.
8
Let s(c) = c + 8. Suppose 3*k + 12 = -5*x, 0*k + 4*k + 16 = 3*x. What is the least common multiple of s(k) and 4?
4
Suppose -3*i - 2*c = -5, 3*c = -i - 0*i + 11. Suppose 5*w - 3*b - 42 = 0, 2*w - 2 = 2*b + 18. What is the lowest common multiple of i/(-2) + w/4 and 3?
6
Let w = 99 - -3491. Let v = -57473/16 + w. Calculate the common denominator of v and -25/4.
16
Let o = -18 - 21. What is the common denominator of 52/3 and (-3)/(-36)*(1 + o)?
6
What is the common denominator of 59/15 and ((-85)/9 + 1)*2/6?
135
Let s = -84 + 19. Let r = 32 + s. What is the smallest common multiple of -3*(r/9 - 1) and 8?
56
Let g = 11323/126 + -610/7. Let x = 23721/28 - 5909/7. Let y = x + -191/7. Find the common denominator of g and y.
36
Let b = 7 + -1. Suppose -4*i + 6 + 18 = 0. What is the least common multiple of i and b?
6
Let i = -19705/8 + 2460. Find the common denominator of -32/9 and i.
72
What is the least common multiple of 15 - 6/(-2)*36/(-27) and 1?
11
Let u = -331/75 + 2/25. Let k be 6/48*(-142452)/(-5). Let g = k + -3550. Find the common denominator of u and g.
30
Suppose -4 = -4*m + 12. Suppose m*i = 5*v - 22, 9 = i - 4*i. Suppose v*o + 0*o - 12 = 0. Calculate the lowest common multiple of o and 3.
6
Let f = 4 - 10. Let u = f - -8. Calculate the smallest common multiple of 12 and u.
12
Let l = 18 - -4. What is the lowest common multiple of 12 and l?
132
Let c = 3 - 1. Let k(u) = -8*u - 1. Let r(m) = -7*m - 1. Let s(v) = 4*k(v) - 5*r(v). What is the smallest common multiple of c and s(1)?
4
Let w = -3 - -6. Let a = 6 - w. What is the least common multiple of 9 and a?
9
Let y = 334867/20 - 16749. Calculate the common denominator of 101/18 and y.
180
Suppose -4*t - 42 = -5*j - 8*t, -5*t = -15. Calculate the lowest common multiple of 11 and j.
66
What is the common denominator of -31/27 and (14 + 0)/((-20)/12 + 0)?
135
Let z be ((-3)/(-10))/((-6)/(-19)). Let c = z + -53/20. Calculate the common denominator of c and -97/20.
20
Suppose 0 = 5*m + 4*l - 80, -85 = -4*m - 0*m + l. What is the lowest common multiple of 4 and m?
20
Suppose -5*n + 0*n - 20 = 0. What is the common denominator of ((-2)/n)/(4/(-154)) and -36/11?
44
Let r be (-4)/(-2) + (-1221)/27. Let h = r + 49/18. What is the common denominator of -125/18 and h?
18
Let t = -43 - -63. What is the lowest common multiple of 8 and t?
40
Let l = 3150 - 34605/11. What is the common denominator of l and 55/8?
88
Let j = -1867 + 16748/9. Find the common denominator of 5/3 and j.
9
Let y(m) be the third derivative of -m**6/60 - m**5/30 + 2*m**2. Calculate the least common multiple of y(-2) and 2.
8
Let o = 4 - 2. Suppose -o*g = -g - 12. Calculate the lowest common multiple of 4 and g.
12
Let n(h) = h**3 - 11*h**2 + 12*h + 14. Suppose -2*y + y = -10. What is the smallest common multiple of n(y) and 16?
272
Let t = -755/12 + 170/3. Find the common denominator of t and -11/7.
28
Calculate the common denominator of (7/9)/(13/(-130)) and -32/3.
9
Suppose 0 = -4*z + 1170 + 4906. Let c = z + -4519/3. Find the common denominator of c and 109/10.
30
Suppose -4*v - 91 = -1183. Let c = 33855/3344 - -3/3344. What is the common denominator of c and (v/(-56))/((-2)/(-4))?
8
Let a = -3 + 8. What is the common denominator of -12*a/(330/9) and -42/11?
11
Suppose 3*k - 4 = -4*z + 6, k = -3*z. What is the lowest common multiple of k and 4?
12
What is the common denominator of 1/13*-2 - 2997/2405 and 5/9?
45
Let v = -2 + 5. Suppose u = -v*u - 7964. Let x = u + 23911/12. Find the common denominator of x and -15/16.
48
Find the common denominator of (-9)/(-11) - (-13)/26 and (-5 + 3)*321/(-72).
132
Let s(i) = i**3 - 6*i**2 + 6*i - 3. Let j be s(5). What is the common denominator of (12/16)/(6/268) and j - 1/(7/39)?
14
Let o(d) = -d**3 + 4*d**2 + 6*d + 5. Suppose 0*r = 4*c + 3*r - 26, -11 = -c - 3*r. Calculate the lowest common multiple of o(c) and 8.
40
Let r be (2 + 0)/(60/33). Let h = 113/80 - r. What is the common denominator of -9/28 and h?
112
Suppose 0 = -2*k + 6*k. Let p(c) = -c**3 - c**2 + 6. Let z be p(k). Suppose 4*r - z*r = -12. What is the lowest commo