7. What is the common denominator of p and 34/9?
27
Let q = -180 + 192. What is the least common multiple of 1018 and q?
6108
Let r = -35 + 39. Suppose -3*d + 29 = r*j, 7*j = 3*d + 4*j + 6. Calculate the lowest common multiple of d and 39.
39
Let f = 297 + -277. What is the lowest common multiple of 14 and f?
140
Suppose -4*l + 6*l - 24 = 0. Let k = -8 + l. What is the smallest common multiple of k and 11?
44
Let r be (-3)/6 + 62141/7. Let b(h) = 555*h**2 - 4*h + 8. Let l be b(4). Let y = l - r. Calculate the common denominator of 1/16 and y.
112
Let o = -1090598738016/365 + 2987951752. Let s = 10004 - o. Let a = s + 27022/1095. What is the common denominator of 45/13 and a?
39
What is the smallest common multiple of 1 - (6 + 0)/(15/(-60)) and 50?
50
Let o = 1841480 + -79179646/43. Let z = 503253/946 + o. Let l = z + -624. What is the common denominator of l and -95/4?
44
Let y = -552 + 912. Let w = 3561/10 - y. Calculate the common denominator of w and 16/9.
90
Let m = -991015/48 + 20645. Find the common denominator of m and 73/60.
240
What is the common denominator of 5 + (956/(-56) - (-5)/1) and 3/56?
56
Let k = -39 - -36. Calculate the lowest common multiple of (18/(-10))/(k/10) and 8.
24
Let u(x) = -x. Let j be u(21). Let o = j + 27. Calculate the common denominator of -51/5 and 24/36 - 19/o.
10
What is the common denominator of 1/16 and (47/3)/(400/(-60))?
80
What is the common denominator of 13/23 and 21/(-138)*(-3)/(-60)*-4?
230
Let d = -26 - -30. Calculate the common denominator of (-3190)/(-132) + d/6 and 67/16.
48
Suppose g = 16 + 14. Suppose 27*m = g*m - 33. Calculate the lowest common multiple of m and (-1 - 0)/(6/(-24)).
44
Let f = -69 + 65. What is the lowest common multiple of 1888/104 - f/(-26) and 12?
36
Suppose -4*h - 2784 = 2*r - 0*h, 4*r = 5*h - 5607. What is the common denominator of 1 + -6 + (-6)/72 and r/(-336) + 2/(-7)?
24
Suppose 58 = 10*r - 22. Let z(l) = -2*l - 4. What is the smallest common multiple of r and z(-4)?
8
Let y = 453/4 - 103. Find the common denominator of -5/16 and y.
16
Suppose 4*n - w = 116, 0 = -3*n + 2*n + w + 26. What is the smallest common multiple of n and 5?
30
Let h = 243679/520 - 6078/13. Find the common denominator of h and -59/55.
440
Calculate the lowest common multiple of ((-4)/(-5))/(5 + 888/(-180)) and 828.
828
Let z(x) = -x**3 - 40*x**2 - 111*x + 1. Calculate the least common multiple of z(-37) and 19.
19
Let j = -154/159 - -11012/18921. Calculate the common denominator of 19/3 and j.
357
Let l = 25 - 27. Calculate the smallest common multiple of 3 + (l - (-12)/2) and ((-36)/(-20))/(3/10).
42
Let r = 19 - 16. Let y be 6/3 + 1*-8. Find the common denominator of (y/18)/(r/(-71)) and 46/7.
63
Let q = 190 + -2303/12. Calculate the common denominator of 1/4 and q.
12
Suppose 35 + 114 = 5*f - 4*p, 3*p - 12 = 0. Let n = f - 26. What is the smallest common multiple of 13 and n?
91
Let i = -966 - -36705/38. Let u = -220/19 - i. Find the common denominator of u and -39/10.
10
Let s = 612 + -596. What is the smallest common multiple of 450 and s?
3600
Find the common denominator of (-9401)/2016 - -6 - (-6)/(-27) and 53/160.
480
Let g(i) = 132*i**2 - 29*i - 28. What is the lowest common multiple of g(-1) and 133?
133
Suppose -8*y + 6*y = -x + 28, -7 = x + 5*y. What is the least common multiple of x and 3?
18
Let g(d) = -d + 21. Let y be g(7). What is the least common multiple of (-120)/(-14) + ((-6)/y)/(-1) and 24?
72
Suppose a = 5*c - a - 15, 3*c = 3*a. Suppose c*w = -4*d + 10222, -4*d - 950 = 4*w - 11174. Let s = d - 46151/18. Find the common denominator of s and 5/16.
144
Let n = 15 - 5. Find the common denominator of 11/3 and (-375)/n*1*1/(-18).
12
Let n = -28 + 20. Let t(m) = -m - 4. Let y be t(n). Suppose -3*v + 7 = y*j, 17 = 2*j - 4*v - 3. Calculate the least common multiple of 6 and j.
12
Suppose -2*n + 14 = 4*d, 4*d - 2*n - 7 = d. Suppose -d*s - 5*g - 35 = -4*s, 3*s - 4*g = 50. What is the least common multiple of s and 20?
20
Calculate the common denominator of 39/20 and (-16)/(-24) + (-411)/225.
100
Suppose -201 = -2*p - p. Find the common denominator of (3 + 26/(-10))/(8/395) and p/(4/((-6)/(-3))).
4
Let l(b) = -b**2 + 16*b - 16. Let j be l(12). Let u = j - 21. Let q = -1 + 5. What is the smallest common multiple of u and q?
44
Suppose -5*k + 19 = p, -6*p = -3*p - 5*k - 17. What is the lowest common multiple of 10 and p/(234/568) + (-6)/(-39)?
110
Let k(c) = c**3 - 6*c**2 + 2*c - 10. Let l be k(6). What is the common denominator of -1 - l - (-535)/40 and 5/8?
8
Suppose 0 = 4*y - 5*w - 4, 0 = 2*y - w - 8. What is the least common multiple of 153 and y?
306
Let f(q) = q**3 + 6*q**2 - 7*q - 9. Let d be f(-5). Suppose -84 = -4*n - 4*y, -n + y + d = 2*n. Calculate the smallest common multiple of n and 4.
36
Suppose 2*m + t = -4*t + 3, -2*m - 24 = -4*t. Calculate the common denominator of m/12 - (-166)/(-40) and -77/16.
80
Find the common denominator of (2/(-22))/((-5 - -1)/(-20)) and (-1)/2 - 47/(-13).
286
Let c = -59 - -76. Suppose -16*m + 161 = c. Calculate the smallest common multiple of m and 5.
45
Let i = -25 - -34. What is the smallest common multiple of 18 and i?
18
Let x be (-4)/(-10) - 4843/145. Let m = 36 + x. What is the smallest common multiple of m and 6?
6
Suppose 36 = 4*r + 5*r. Suppose 0 = 3*t - r*t + 2*o + 5, 4*o = 5*t - 31. What is the lowest common multiple of 36 and t?
252
Let h = -223 + 271. What is the smallest common multiple of h and 20?
240
Suppose y + 49 = 8*c, 0 = -4*y - 4. Calculate the smallest common multiple of c and 922.
2766
Suppose s - 4*h - 9 = -12, -4*h + 57 = 5*s. What is the least common multiple of s and 8?
72
Suppose -3*z + 31 = 4*w - 3, -3*z + w = -44. Suppose 3*k = -0*k + y + 23, -2*k + z = -2*y. Calculate the smallest common multiple of k and 6.
24
Calculate the common denominator of 23/366 and (-792)/(-28)*((-7)/(-28))/1.
2562
Let k = 665 + -9241/14. Let j = -46/321 - -24445/7062. Calculate the common denominator of k and j.
154
Suppose -4*x + 7*f - 4*f + 9 = 0, -5*x = f - 16. Suppose 3*m + 17 = l, -1 = 2*m - x*m - l. Calculate the common denominator of -19/6 and ((-285)/8)/(9/m).
6
Suppose -861*r = -866*r + 90. Suppose 3*w - 96 = -w. What is the smallest common multiple of r and w?
72
Let d(s) = -s**2 - s - 2. Let v be d(2). What is the smallest common multiple of 6/(-4)*48/(-18) and ((-1)/2)/(1/v)?
4
Suppose 770 = -2*o + 2*u, -2 - 8 = 5*u. Let x = -392 - -2762/7. Find the common denominator of o/72 - (-6)/4 and x.
56
Let v be 1 - 52/(-4 + 0). What is the smallest common multiple of 698/v + ((-16)/(-14) - 1) and 8?
200
Suppose -77*w + 589 = 204. Calculate the smallest common multiple of w and 7/(1/(1 - -1)).
70
Let b = 5/16 + 65/112. Let z = -203 + 83. Find the common denominator of b and 2 - (-2)/(z/27).
140
Let u = -755570141/18 - -41965593. Let r = u - -10520. What is the common denominator of -91/6 and r?
18
Find the common denominator of -11/10 and (-582)/72*2 - 1.
30
Let k(u) = -u**2 - 24*u - 55. Suppose -7*r = -5*r + 12. Let w(h) = -h + 4. Calculate the lowest common multiple of w(r) and k(-21).
40
Find the common denominator of (-202)/(-20) - (0 - 1) and -5*1/4 + (-1518)/(-484).
220
Suppose 15*w = 18*w - 21. Let f(b) = -3*b - 2 + 4 + 4*b. What is the lowest common multiple of f(w) and 8?
72
Let k be ((-12)/(-30))/((-48)/(-205883)). Let n = k - 5165/3. Let y = 12/5 - n. Find the common denominator of y and -49/4.
8
Suppose 4*u - 28 = -108. What is the smallest common multiple of 11 and ((-24)/u)/((-4)/(-10))?
33
Let w = 104372/8493 + -660/149. Let d = -19/3 + w. What is the common denominator of d and -46/11?
209
Suppose -34 = 4*q - 42. Let x = 12 - 7. Let a = 15 - x. What is the least common multiple of q and a?
10
Let j = 8763 - 183983/21. Let d = 1087/69 - 119/46. Calculate the common denominator of j and d.
42
Suppose 45*u = 47*u - 12. Calculate the smallest common multiple of u and 35.
210
Calculate the common denominator of (-3)/((-1188)/325) + (-24)/32 and 127/36.
396
Suppose -w = 2*c - 3*w - 2, 3*c - 5*w + 1 = 0. What is the least common multiple of c and 51?
51
Let n(v) = -v**2 + 20*v - 14. What is the lowest common multiple of 3 and n(19)?
15
Let h = 88 - 2339/27. What is the common denominator of 131/744 and h?
6696
Suppose