6/11. Let a = 5477/2 + z. Calculate the common denominator of 62/33 and a.
297
Suppose 2*a + 2*v + 1684 = 0, v - 20 = -3*v. What is the common denominator of 39/44 and (18/(-21))/(88/a)?
44
Let i = -8 + 6. Let h be (3 - (-69)/(-24))/(12/i). Let y = 163/144 + h. Calculate the common denominator of y and 20/21.
63
Suppose -25*f = f - 8736. Calculate the common denominator of (-8)/(-64) - 470/f and 9/10.
420
Let f = -5321/4 - -1294. Let m = 37 + f. Calculate the common denominator of ((-3)/14)/((-3)/43) and m.
28
Let j = -713439/520 + 1372. Calculate the common denominator of -61/65 and j.
520
Suppose 3*c + 4*i = c + 10, 4*c - 3*i - 20 = 0. What is the least common multiple of c and ((-4)/12)/(3/(-315))?
35
Let i = 6235/61 + -4916901/48068. Calculate the common denominator of -151/12 and i.
2364
Let h = -85659/598 + 1863/13. Find the common denominator of 4/(-12) - 275/12 and h.
92
What is the common denominator of (-610)/(-855)*8 - 6 and -19/20?
3420
Calculate the common denominator of 24/473 and (48280/(-48977) - -5) + (-1)/((-1)/(-4)).
31691
Let x = -11793 - -35308/3. Calculate the common denominator of x and -95/7718.
23154
Suppose -l = -5*m + 31, -5*m = 3*l - 7 - 20. Suppose -m*y - 52 = -196. Suppose -2*p = 3*p - 90. What is the lowest common multiple of y and p?
72
Let g(o) = 12*o**2 - 10*o + 9. Let z be g(4). Suppose -3*f - z = -3*x + 148, -x - f + 109 = 0. Calculate the lowest common multiple of x and 2.
106
Let q(u) = -9*u**2 - 187*u + 28. Calculate the smallest common multiple of 56 and q(-20).
168
Let p = 38687/18882 + 7/1049. Find the common denominator of p and 55/152.
1368
Let u = 3552 - 28357/8. Let s = 6009/2080 - 7/65. What is the common denominator of s and u?
32
Let y = 13295 + -13191. Calculate the lowest common multiple of y and 6370.
25480
Let r(t) = -471*t - 156. Let v be r(4). Find the common denominator of -41/24 and (-4)/34 + (-4881)/v.
120
Let d = -7299/100 - -1281/25. Calculate the common denominator of d and ((-58)/(-196))/(0 - -2).
196
Let c(u) = -4*u - 2. Let r = -93 - -118. Suppose 5*q + v = -r, -q + 5*v = -2 + 7. Calculate the least common multiple of c(q) and 12.
36
Let t = -12538889/14880 + 26115/31. What is the common denominator of 83/2400 and t?
2400
Let n = -932203/548772 - 24/6533. Suppose 323 = -3*v + 3*k + 23, 188 = -2*v + 5*k. What is the common denominator of n and 4508/v - ((-56)/(-26) + -2)?
84
Let t = 3/1702936 - 7717043/348676146. What is the common denominator of t and -89/88?
72072
Let r(k) = -2*k**3 - 5*k**2 - 22*k + 1. Let w be r(-11). Suppose 11*n + 12*n - w = 0. What is the lowest common multiple of n and 24?
600
Suppose 31*z + 34430 = 42*z. Calculate the lowest common multiple of z and 18.
28170
Suppose 16*j = 3008369 + 1451871. Let z = j + -196808125/706. Calculate the common denominator of z and -101/14.
4942
Suppose 0 = 66*l - 62*l - 28. Let i be (l - 9) + 0/3. Calculate the smallest common multiple of 14 and (i + 4/3)*-18.
84
Let f be (44/(-10))/(27/15 + -2). Let r = 31 - f. Calculate the lowest common multiple of r and 39.
117
What is the least common multiple of 6 + (((-1227)/4)/(-3) - (-41)/(-164)) and 64?
1728
Let y be ((-43373)/(-11))/(2/6). Let c = -1419439/120 + y. Find the common denominator of c and 23/15.
120
Let i = 178 + -160. Let f(y) = 4*y - 5. What is the least common multiple of f(i) and 8?
536
Let s be (-399145)/150*(-2)/12. Let x = s + 23/90. Let m = -425 + x. Find the common denominator of -89/10 and m.
20
Suppose 20*k + 4*x = 25*k - 33131, 7*k = 2*x + 46405. Calculate the least common multiple of k and 2792.
53048
Let w = -2989 + 3011. Calculate the smallest common multiple of 6268 and w.
68948
Let g(x) = 2*x - 2. Let s be g(-4). What is the common denominator of -29/7 and 1768/528 + s/(-12)?
77
Let d be -23 + 35 + 16/(-2). Calculate the common denominator of ((-6)/d*50/15)/4 and 31/73.
292
Find the common denominator of -25/9 and (-160)/3320*((-57)/(-6))/1.
747
Let p = -37 + 73. Let b(t) = -13*t - 624. What is the lowest common multiple of b(-52) and p?
468
Let r = 463 + -449. Calculate the common denominator of -1/156 and ((-1020)/80)/(9/r).
156
Suppose 13*c = 369 - 18. Let b(g) = -2*g**2 + 18*g + 2. What is the least common multiple of c and b(9)?
54
What is the common denominator of (1 + 0 - (-1 - (-63)/33))*-3 and 31/1191?
13101
Let k be 4 - (0 - (1 - 0)). Suppose 87 - 227 = -k*o - 5*l, 4*o = 5*l + 76. What is the lowest common multiple of 20 and o?
120
Let j = 2537 + -1817. Calculate the smallest common multiple of 48 and j.
720
Let i be (27/(-1035))/(52/5) - 0. Let y = i - 9263/2392. Find the common denominator of y and 7/6.
24
Let l = 3375 - 3368. Let i = -57 + 90. Calculate the lowest common multiple of l and i.
231
Let n = -99302/27 + 3678. Calculate the common denominator of 74/3 and n.
27
Let r(a) = -1 + 2*a**2 + 11*a + 7*a + 16 + 4*a. Suppose 0 = -2*g - 5*k + 3, 0 = -2*g - g - k - 28. What is the lowest common multiple of r(g) and 8?
120
Suppose 0 = j + 2, 4796 = -2*u - 7*j + 11*j. Let v = u + 19169/8. Find the common denominator of 12/80*74/6 and v.
40
Let v = 129 - 130. Let h(r) = 49*r**2 - r + 2 - r + 3*r. What is the least common multiple of 5 and h(v)?
50
Suppose -11*i + 3*i + 176 = 0. Let t = i - 30. What is the common denominator of (78/(-120))/(t/(-30)) and 7/4?
16
Suppose -11*d - 161 + 458 = 0. Let f = 35 - d. Let h(b) = b**2 - 4*b - 1. Calculate the smallest common multiple of f and h(5).
8
Suppose -96 = 3*k + 5*r - 22, 2*k = 2*r - 28. Let j be (-2 - -8)*k/12. Let x = j + -19/2. What is the common denominator of x and 32/3?
6
Let b(v) = -4*v - 2 - 2*v**3 - 6*v + 3*v**3 + v**2 + 9*v. Let l be b(-1). Find the common denominator of -49/16 and (-35)/(-40)*l - -2.
16
Let a = 3261013156330988/280822035 - 1420/18721469. Let o = a + -11619327. Let n = 6941 + o. What is the common denominator of n and 26/15?
15
Let n = -76 - -88. Suppose -5*v = r - 14, 8*v + n = 4*v. What is the smallest common multiple of 1 and r?
29
Suppose 2562 = 24*q - 14814. What is the smallest common multiple of q and 28?
5068
Suppose 10898 - 10660 = 34*v. Calculate the lowest common multiple of v and 480.
3360
Let x = 4373/62 + -1345457/19065. Find the common denominator of x and -121/1640.
4920
Suppose -63*n + 2081 = 21*n - 8839. What is the least common multiple of 1898 and n?
9490
Let y = 306 + -308. Calculate the lowest common multiple of 1 + (-273 + y)/(-5) and 7.
56
Let l be (4/(-29))/(7 + -4 + -370). Let s = l - 1096309/212860. What is the common denominator of 89/96 and s?
480
Let l = 15859/1960 + -432/49. Find the common denominator of (-1)/32*-152 - -10 and l.
40
Let z = 3157246/105 + -30070. Calculate the common denominator of ((-42588)/8424)/((-10)/6) and z.
210
What is the common denominator of (-24)/4410*(-33)/22 and 12/(-48) - (-163)/(-36)?
2205
Suppose -363 = -3*o + 5*g, 297*o - 298*o = -2*g - 122. Calculate the least common multiple of 28 and o.
812
Let b(u) = 63*u**2 + 2*u - 1. Let j be b(1). Let v = j - 63. Suppose 0 = -4*k + 9 - v. Calculate the lowest common multiple of k and 18.
18
Let x(k) = -k**2 - 28*k + 39. Let l be x(-21). What is the common denominator of ((-2)/6 - -1)/((-16)/l) and 10/3?
12
Find the common denominator of -97/516 and (68/(-17544))/(-3 + (-453)/(-152)).
1548
Suppose s + 3*s = 0. Let u = 4 + s. Suppose 694 = 25*w + 344. Calculate the lowest common multiple of u and w.
28
Let j = -15052 + 271051/18. Find the common denominator of j and 74/309.
1854
Suppose 6*r + 90132 = 117*r. What is the lowest common multiple of 1160 and r?
8120
Find the common denominator of 0 - 18 - (-3760740)/208800 and -55/522.
10440
Suppose 5*z + 6 = 3*j + 1, -j + 11 = 3*z. Calculate the smallest common multiple of 4 and (1 + 203)/(3/z).
136
Suppose 8642 = -19*y + 9877. What is the least common multiple of 6395 and y?
83135
Let o be (7 - 9)/(3/24). What is the common denominator of (-1)/(-10)*460/o and -79/212?
424
Let v = 445069 + -439283165/987. Find the common denominator of 11/105 and v.
4935
Let m = 69 + -59. Calculate the smallest common multiple of ((-4)/m)/((-144)/(-30) - 5) and (6 - 105/14)/(3/(-4)).
2
Suppose 4*x + 3 - 22 = -3*f, 2*f + 5*x = 15. Calculate the smallest common multiple of 1 - (10 - 5) - (-380)/38 and f.
30
Find the common denominator of