f 121/30 and (-226)/(-36)*(-297)/1287.
390
Let c = -1194 + -3638. Let m = c + 483209/100. Calculate the common denominator of 99/20 and m.
100
Find the common denominator of -5/23 and 564/32*12/(-45).
230
Let s = 476271/17306 + 9/1018. Let c = s - 5427/136. Find the common denominator of 121/6 and c.
24
Let j be (-3 - -6) + 14 - 4. What is the common denominator of 1*(-23)/17 + 2 and (1495/(-100))/j - (-1)/(-4)?
85
What is the lowest common multiple of (-3 + 24)*(-90)/(-21) and 110?
990
Let d = -1 + 6. Let j = -7 - -10. Suppose 32 = 5*m + j*l - 38, -58 = -3*m - 5*l. Calculate the smallest common multiple of m and d.
55
Let w(l) = l**3 - 3*l**2 + 4*l - 30. Suppose -178 + 478 = 5*j. What is the smallest common multiple of w(4) and j?
60
Let y be ((-10)/30)/((-2)/12). Suppose q + 3*n = 0, 3*q - 5*n - 16 = y*q. Calculate the common denominator of -65/8 and (10/q)/(3 + 0).
72
Let k = 13 + -15. Let h(p) = 5*p**2 - 3*p + 4. Let f be h(4). Calculate the common denominator of f/(-2)*k/20 and 50/3.
15
Let d = -294761/369072 - -1/23067. Find the common denominator of d and -73/48.
144
Calculate the common denominator of -151/42 and (-215)/(-215) - (1127/150)/7.
1050
Let j be (-3)/12 - (-1)/8*34. Let p(s) = s**2 - 2. Calculate the smallest common multiple of ((-9)/j)/((-4)/(64/6)) and p(-2).
6
Let l be (-212)/(-6) + 7/(-21). Let y be ((-30)/l)/(6/(-28)). Calculate the common denominator of (-579)/210 - y/(-10) and -63/22.
154
What is the common denominator of -6/253 and (9 - (-300)/(-184))/(60/4)?
2530
Let j = -11475/7 - -1644. What is the common denominator of j and -1/123?
861
Let t be (33/6 - 1 - 4)*4. Suppose 2*r = 2*b + 40, t*b = 5*r - 36 - 49. Calculate the least common multiple of r and 63.
315
Let l = 110/9 - 433/18. What is the common denominator of l and -121/42?
42
Let d = -9 + 10. Let q = 5 - d. Calculate the smallest common multiple of q and 3/(6/76) - 2.
36
Suppose 8*j + 13*j = 630. Calculate the least common multiple of j and 75.
150
Let n(f) = 5*f**2 + 12*f + 13. Calculate the smallest common multiple of n(-1) and 60.
60
Let w = -162719 + 27336895/168. Find the common denominator of -155/264 and w.
1848
Suppose 37*a = 96*a - 5664. Calculate the least common multiple of 12 and a.
96
What is the least common multiple of ((-56)/(-140))/((-2)/(-1245)) and 24?
1992
Suppose 18*d = 30 + 294. Calculate the least common multiple of d and 4.
36
Suppose v - 10 = -4*v. Suppose v*c + 2 = 8. Let g(s) = s**3 + 12*s**2 + 9*s - 16. Calculate the smallest common multiple of c and g(-11).
6
Let l = 25061/2 - 12489. What is the common denominator of l and ((-2)/8)/(4/(-101))?
16
Suppose -3*r + 5*m + 98 = -267, 4*m + 4 = 0. Suppose x + 2*d - r = 0, -x + d = -3*d - 90. Find the common denominator of 19/22 and (x/(-2))/(13 - -1).
154
Let r = 39393/20 + -1973. Calculate the common denominator of -31/18 and r.
180
Suppose 2*t - 19*p - 453 = -20*p, -3*p = 2*t - 463. What is the least common multiple of 80 and t?
1120
Let v = -122/13 - 721/52. What is the common denominator of v and -97/4?
4
Suppose -11*u + 71 = -391. What is the lowest common multiple of u and 102?
714
Let v = -18 + 21. Suppose -v*m + 2 = 5. What is the common denominator of -2 + (644/(-200))/m and -39/16?
400
Let b be (0/4 - -2)/2. What is the common denominator of 4/3 and (b - 28/105)*(-50)/(-4)?
6
Suppose -6*z = -9*z - 19413. Let c = z - -51831/8. Find the common denominator of c and -16/7.
56
What is the least common multiple of 40 and 4/(-20)*0 - -48?
240
Let z be 1614/1596 + (0 - 1). Let u = 979/4256 - z. What is the common denominator of u and -5/4?
32
Let f = -50 + 43. Let i = -39 + f. Find the common denominator of i and 5/7.
7
Suppose -r + 4 = 8. Calculate the smallest common multiple of (-65)/(-15) + r/(-6) and 4.
20
Suppose 16*w - 910 = -19*w. What is the least common multiple of 66 and w?
858
Calculate the common denominator of 27/20 and 3/(-5) - (-8 + 2538/330).
220
Let m(c) = -c - 1. Let u be m(-4). Suppose h = u*h - 56. Suppose h + 22 = 5*z. What is the smallest common multiple of z and 2?
10
Suppose 4*b = 8 + 4. Suppose -z = -3*j + 5, b*z + 3*j = -0 + 9. Calculate the smallest common multiple of 4 and (z/2)/((-2)/(-12)).
12
Let d = 25 + -31. Let i(k) = -k**3 - 6*k**2 + 2*k - 2. Let p be i(d). Calculate the common denominator of 39/4 and (-1446)/(-252) + 8/p.
12
Suppose -1922 = 61*x - 10706. What is the smallest common multiple of 234 and x?
1872
Let c = 2633/2 - 1266. Calculate the common denominator of -43/14 and c.
14
Let p(k) = k**3 + 4*k**2 + 4*k + 3. Let w be p(-2). Suppose -3*z - w + 9 = 0. Calculate the smallest common multiple of -3 + 10/z + -1 and 4.
4
Suppose 2*d = -4*g + 335 + 475, -2*g = -4*d - 390. Find the common denominator of (1/15)/(2 + (-405)/g) and 13/33.
165
Let c be (0 + 4/6)*(-98074)/20. Let j = c - -3267. What is the common denominator of 17/6 and j?
30
Find the common denominator of 406/315 - (-5)/(-90)*-4 and (-8)/(-36) + 148/(-45).
45
Suppose -b - 2*c - 1 = -0*b, 13 = 2*b - c. What is the common denominator of 0 - (-267)/84*-2 and 75/(-70)*(-23)/b?
14
Let r = -18705713/172928220 + 1/381740. Find the common denominator of r and 71/8.
3624
What is the common denominator of -3 - 9 - 3585/(-350) and -40/49?
490
Let u(k) = 6 - 2 + 1 + 4*k - 1. Calculate the least common multiple of 22 and u(4).
220
Let f be (-16)/(-10)*(-75)/(-1935). Let w = f + 11207/258. Find the common denominator of 2/((-5)/18 - 0) and w.
10
Suppose -3*h = f - 3*f - 42, -54 = -5*h - 2*f. Calculate the smallest common multiple of ((-32)/h)/(4/(-6)) and 8.
8
Let b(v) = -35*v - 15. Let z be b(8). Calculate the common denominator of (((-5)/50)/((-2)/z))/(-4) and (19/8)/((-1)/10).
16
Suppose -82*u - 315 = -103*u. What is the smallest common multiple of 612 and u?
3060
Suppose 57*i = -0*i + 2280. Calculate the least common multiple of i and 45.
360
Let j = 29 + -17. Let x be (j/3)/((-3)/6). What is the common denominator of x/(-30)*95/2 and 19/4?
12
Suppose -5*p = -23 - 7. Let t be (-18)/108 - 71/p. Find the common denominator of -66*-2*t/(-32) and 19/18.
18
What is the common denominator of (-10 + (-242)/(-24))/(3/58) and -31/12?
36
Suppose 0 = 3*u - 10 - 62. What is the smallest common multiple of 10 and u?
120
Suppose -4*a + 144 = -0*a. Suppose 5*o = -a + 6. Calculate the common denominator of -151/6 and 4/o + (-1467)/270.
30
Suppose 0 = -26*u + 27*u - 5. Calculate the least common multiple of 3 and u.
15
Suppose 3*w = 2*d + 9, 5*w = 2*d - 3*d + 28. Calculate the common denominator of 109/20 and (101/(-28) - 3)*(-2)/w.
140
Let b = -723 + -2909. Let j = 36237/10 + b. Find the common denominator of j and -24/17.
170
Let n = -2/9443 + 368321/207746. Find the common denominator of 1 + -2 + (-314)/(-36) and n.
198
Let y = 37 - 32. Suppose -y*r + 4*k = -70, 3*r - 3*k = -r + 57. Calculate the smallest common multiple of r and 16.
144
Let o(j) be the third derivative of 0 + 10*j**2 + 1/12*j**4 + 2/3*j**3 + 0*j. Calculate the smallest common multiple of 14 and o(4).
84
Let i = -10 + 1. What is the common denominator of 164/(-18) + (1 - 0) and ((-106)/15)/((-6)/i)?
45
Let n(o) = o**3 - 8*o**2 + 10*o + 1. Let v be n(7). Let b = v - 12. Let u(t) = t**2 - 4*t + 6. What is the lowest common multiple of b and u(5)?
110
Let g = 46/8931 - 3245672/2456025. Let j = g - -7/11. What is the common denominator of j and 101/10?
50
Let k(u) be the third derivative of -u**4/24 + 3*u**3/2 + 19*u**2. Let m(x) = -2*x + 7. Let q be m(8). Calculate the least common multiple of k(q) and 10.
90
Let d = 870391/3016124 + -12/14227. Calculate the common denominator of d and -133/6.
636
What is the lowest common multiple of 30 and (3*(0 + 1))/((-51)/(-1870))?
330
Suppose -26*j - 295 = 43. What is the common denominator of 57/35 and j?
35
Let v(y) = y**2 - 7*y - 5. Let o be v(8). Let z be o + 5/((-20)/(-8)). Let j = z + -3. Calculate the smallest common multiple of 12 and j.
12
Let k be ((-24)/20)/((-6)/280). Let x = k - 24. Suppose x*t = 27*t + 35. Calculate the least common multiple of t and 9.
63
Let o(z) = z**2 - 4*z + 56. What is the lowest common multiple of o(7) and 132?
924
Let b(r) = -7*r + 165. Calculate the smallest common multiple of 2 and b(5).
130
Let m be 138/(-15)*10/(-4). Calculate the common denominator of 2