.
992
Let p be (((-122029065)/6)/(-15))/(54/1). Let s = p - 25106. Find the common denominator of -127/18 and s.
36
Let c be (9/(-2))/((-6)/12). Suppose 47 = 4*y - c. Find the common denominator of 97/8 and (-2)/y*(4 - 2).
56
Let z = 61/16 - 27/16. Find the common denominator of z and (-276)/(-736) + (-2)/((-144)/521).
72
Suppose 0 = 20*c - 23*c. Suppose c = a - 6*a + 50. What is the smallest common multiple of 12 and a?
60
Let l(k) = -4*k - 8. Suppose 8*i - 60 = 2*i. Suppose f + 25 = -5*p - i, -3*f = 0. What is the least common multiple of 6 and l(p)?
60
Let o(g) = 6*g - 9. Let q be o(-5). What is the common denominator of -61/9 and ((-8)/64)/((-3)/q)?
72
Let s be (3 + -2)/(22/5244). Let n = s + -50192/209. Let g = n + 540/323. Find the common denominator of g and 61/4.
68
Let t be -3 + 4/((-576)/(-516705)). Let v = t + -3585. Calculate the common denominator of v and 13/20.
240
Calculate the common denominator of 3/2*824/(-72) and (-2)/(-4)*28/48.
24
What is the least common multiple of 10 and (-5)/(-3)*864/80?
90
Suppose -5*h = j + 174, -h + 612 = -3*j + 2*h. Let a = 15 + j. What is the smallest common multiple of 2/(-15) + a/(-30) and 11?
66
Suppose -3*q + 0*n - n + 35 = 0, 2*q - n - 15 = 0. Calculate the smallest common multiple of 8 - (0 + 1)*-2 and q.
10
Let y be 1/(-5) - (-26)/5. Let n(a) = -8*a + 1. Let w be n(y). Find the common denominator of 4 and (-90)/w*12/(-8).
13
Let h be 5 - (2 + -3 + 2). Suppose -4*g = -h*w - 52, -3*g = 3*w - 9 - 12. What is the lowest common multiple of g and 20?
20
Let n be (-228)/247*4/342. Let b = 8783/2470 - n. Calculate the common denominator of 13/18 and b.
90
Let j(o) = 2*o - 14. Suppose 6 = -5*f + 7*f. Suppose f*c - 10 = 2*c. What is the smallest common multiple of 14 and j(c)?
42
Let z be (-5 - -2) + (6 - (7 + -3)). Let v = 5/283 + 14979/1132. Find the common denominator of 15/(4 - z) + (-138)/44 and v.
44
Let r = -2321/10 - -234. What is the common denominator of 29/(-10)*(1 - -2) and r?
10
Calculate the common denominator of (-21)/(-28)*206/(-57) and (-560)/(-128)*(-4)/50.
380
Let i(g) = -g**3 - 8*g**2 - 3*g - 21. Calculate the least common multiple of i(-8) and 6.
6
Let c = -19/3911 + -44917607/46932. Let l = -955 - c. Find the common denominator of 113/12 and l.
12
Suppose k - 562 = -4*a, -3*a + 2*k + 91 = -325. Find the common denominator of ((-3)/21)/((-8)/a) and 250/(-36) + (1 - 0).
18
Suppose -6*v = -7*v - 3*d - 9, 4*v - d = 42. Let n(m) = 18*m - 1. Calculate the least common multiple of n(1) and v.
153
Calculate the smallest common multiple of (-5 + 144 - -2) + 3 and 20.
720
What is the common denominator of -26 and 1*(-1 - 2)*(-54)/(-15)?
5
Let i be ((104/(-2))/(-2))/2. Suppose 0 = -3*s + 17 + i. Let p = -44 + 48. Calculate the least common multiple of s and p.
20
Let m = -7 - -9. Suppose 0 = 6*i - m*i - 5*v + 56, 4*v + 20 = -4*i. What is the smallest common multiple of 10 and ((-12)/10)/(i/30)?
20
Let n be 198/8 + (-30)/40. Let w = 27 - n. Calculate the smallest common multiple of 9 and w.
9
Let g = 1027/10 + -103. Calculate the common denominator of g and (9/(-4))/(-5 + 655/120).
110
Let r = -287 - -337. What is the lowest common multiple of 245 and r?
2450
What is the lowest common multiple of 154 and 1850/21 - (240/(-126) + 2)?
616
Let l(o) = o**2 + 2*o - 15. Let j be l(-6). Suppose -j*g - 56 = -g. Let a(z) = -z**2 - 6*z + 9. Calculate the lowest common multiple of a(g) and 10.
10
Suppose -100*u - 84 = -106*u. What is the lowest common multiple of u and 206?
1442
Suppose -3*f = -45 - 60. Let a = 40 + -8. Calculate the common denominator of f/(-16) - 16/a and 33/4.
16
Let c = -7 + 20. Let x(a) = a**3 - 13*a**2 + 10*a - 9. Let b be x(c). What is the common denominator of 109/22 and 22/b + (-53)/22?
22
Let p(i) = -4*i**3 - 17*i**2 - 16*i + 10. Let w be p(-13). Let t = 49163/8 - w. Calculate the common denominator of t and 1 + 1 + (-3)/18.
24
Let l(t) = 4*t + 107. What is the lowest common multiple of 3 and l(-25)?
21
Let a = 1 - -2. Suppose 2 + 1 = s - a*u, -u - 71 = -5*s. Let j = s - 10. Calculate the lowest common multiple of 2 and j.
10
Let y = 6312 - 19229/3. Let m = -4159/42 - y. Let o = -16/13 + 71/26. What is the common denominator of m and o?
14
Let l = 45 + -42. Let y(n) = n**2 - 1. What is the smallest common multiple of 8 and y(l)?
8
Let t be 2 + -1 - 18/3. Let w be (2 + t)/3*-2. Suppose -f + 15 = w*f. What is the smallest common multiple of f and 2?
10
Find the common denominator of 296/(-80)*15/(-24) and (-197)/(-60) - 4/20.
48
Let x(f) = 35*f + 1. Let r be x(-8). Suppose -5*k + 210 = 4*h, 2*k - 6*k + 164 = 4*h. Find the common denominator of k and r/30 - (6 - 5).
10
Let l(j) = -j**2 - 14*j + 5. Let c be l(-13). Let y = c - -3. What is the lowest common multiple of y and 10?
210
Let n be 2874/16*(-2)/3. Let x = -2457/20 - n. Find the common denominator of 12582/(-3780) + (-6)/(-14) and x.
10
Let n(z) = 4*z**2 + 2*z + 10. Calculate the least common multiple of n(7) and 198.
1980
Let o be (-375881)/(-27) + 4/8*-2. Let p = o + -13923. What is the common denominator of p and -61/30?
270
Let f be 0 + 1 + 2 - 59. Let u = f + 29. Find the common denominator of 2/3 and -1 + (-12)/40*u.
30
Suppose -2*l + 4*l - 8 = 4*k, -3*l - 3*k = -3. Calculate the least common multiple of l and 12 - (-1)/((-3)/6).
10
Let y = -55563/10 + 5563. Suppose 6 = -5*x - 4. Calculate the common denominator of (-1078)/(-363) - x/(-6) and y.
110
Calculate the least common multiple of (-88 - -86)/((-1)/16) and 64.
64
Let d(p) = -99*p**3 + 2*p**2 - 2*p - 7. Let b be d(-5). Let v = 8115482/653 - b. Let g = 46399/11754 + v. Find the common denominator of -101/18 and g.
18
Suppose -5*y = -6*y - 2997. Let d = y + 18025/6. Calculate the common denominator of (-3 + 38/32)*-2 and d.
24
Let j(y) = 279*y + 5. Let v be j(5). What is the common denominator of -70/3 and (-2)/(-8) - (-5)/v*-334?
105
Let g(v) = -4 - 2 - v + 0*v - v. Let n be g(-4). Let o = 6 + n. What is the least common multiple of o and 14?
56
Let l = 975 - 785. Calculate the least common multiple of 152 and l.
760
Suppose 0 = -5*s + s + 84. Calculate the least common multiple of 152 and 6/s + (-24)/(-14).
152
Let d be (0 + 13)*1 + -1. Let x = d + -13. What is the common denominator of -59/16 and (x/(-2))/(8/25)?
16
Suppose -b - 3*i = -2*i - 27, 83 = 4*b - i. What is the smallest common multiple of 424/42 - (-10)/(-105) and b?
110
Let r(n) = n + 4. Let x be r(-7). What is the smallest common multiple of 5 and (-4 - x) + 2 + 5?
30
Suppose n = -4 - 4. Let k = n - -10. What is the common denominator of -93/4 and k/10 - (-762)/540?
36
Let z(v) = -v**3 + 4*v**2 - 4*v + 7. Let u be z(4). What is the least common multiple of 6*(3 + 12/u) and 7/3 - (-4)/6?
30
Suppose 48*r + 280 = 52*r. What is the lowest common multiple of r and 217?
2170
Let h = 3924010 - 62760075/16. Let c = 1503 - h. What is the common denominator of c and -14/11?
176
Let r = 7475 - 246704/33. Calculate the common denominator of 39/10 and r.
330
Let y(o) = 7*o - 18. What is the smallest common multiple of -4*5/(10/(-4)) and y(4)?
40
Let x be 10/35 - (-72756)/154. Let t = -10453/22 + x. Find the common denominator of (-35)/2*(-6)/(-10) and t.
22
Let v(a) = 11*a - 2. Let m be v(-3). Let n = m + 59. Suppose -2*q = -3*q + n. What is the smallest common multiple of q and 22?
264
Let f = 21 - 19. Let m be ((-3)/9)/(f/(-42)). Calculate the smallest common multiple of (m - 8)/(1/(-9)) and 11.
99
Calculate the common denominator of -93/14 and 18/(-8) - -1 - (-37 - -37).
28
Let q(l) = 3*l + 275. Calculate the lowest common multiple of 20 and q(17).
3260
Let x = -100 - -95. Let f(m) = m**2 - 2*m - 6. Let s be f(5). Let i = x + s. What is the smallest common multiple of i and 6?
12
Let x be 2 + (-14)/8 - (-309)/12. Suppose -16 = 5*m - x. What is the lowest common multiple of m and 100?
100
Let s(j) = 5*j - 17. Let g be s(3). Find the common denominator of 29/22 and ((-117)/g)/1*5/(-140).
616
Let n = 20283/8 + -2527. Calculate the common denominator of n and 51/518.
2072
Let l = -190/173 - -36667/5190. Let u = -1097/18 - -385/9. Calculate the common denominator of u and l.
30
Let d(j) = 31*j + 6. Let n be d(2). Calculate the common denominator of (-75 + 0)*1/4 and (1/(-2) - 0)/(n/(-1717)).
8
Suppose -3*j