et t be w(-4). Find the common denominator of ((-273)/(-42))/(2/d*t) and -73/3.
15
Let g = -59 + -7. What is the lowest common multiple of 296/40 - (-4 + g/(-15)) and 27?
189
Let v = 291 + -207. Suppose -5*q + v + 59 = -3*c, 4*q = -4*c + 108. What is the least common multiple of 5 and q?
140
Suppose 2*f - 6 = -3*x, -5*f - x + 3 + 12 = 0. What is the lowest common multiple of (-1)/2 + (4 - 78/(-12)) and f?
30
Let t = -174762244/3205 - -54528. Let h = t - -208381/44870. What is the common denominator of 113/6 and h?
42
Let z be (-105 + 103)/((-2)/40). Let a(x) = -9*x + 2. Let d be a(2). Let j = z + d. Calculate the least common multiple of j and 32.
96
Find the common denominator of (0 - 3) + (-23484)/(-10640) and -4/385.
1540
Let n = 6 + -9. Let k = -10/69617 - 3132745/139234. What is the common denominator of (278/162)/(2/n) and k?
54
Let v = -28 + 8. Let w = -24 - v. What is the common denominator of 79/10 and -101*2/(-64)*w?
40
Let h = 4131 - 4065. Calculate the least common multiple of 69 and h.
1518
Let b = -89863/18 + 4997. Let c be (-15)/(-15) - 31012/(-15). Let t = -2065 + c. Calculate the common denominator of t and b.
90
Suppose 3*j - 15 = -0*j. Suppose 43 = j*x + 23. Calculate the lowest common multiple of 8 + (x/18 - 140/63) and 2.
6
Let p be (-1 - 6/(-15))/(2/(-30)). Suppose -9*y = -6*y - p, 0 = -5*x - 5*y - 30. Calculate the common denominator of (-2)/(-9) + x/(4536/1408) and 37/4.
28
Suppose 0 = -11865*n + 11859*n + 15780. What is the lowest common multiple of n and 12?
15780
Suppose 5*s = -n + 3744, 3*s + 3736 = 8*s - n. Find the common denominator of 17/s*1/((-1)/19) and 7/20.
220
Let w = 2627739/486350 + -1471/274. What is the common denominator of 31/11 and w?
19525
Suppose 0 = -977*p + 1008*p - 1736. What is the lowest common multiple of 2408 and p?
2408
Let z = -9196 + 183887/20. Find the common denominator of ((-99)/(-14))/(40/(-7)) and z.
80
Let j = 82603/634075 - -64/1951. Calculate the common denominator of j and 11/884.
22100
Let q be 20/(-7) + (-2)/14. Calculate the common denominator of -1/22 and ((201/20)/q)/((-4)/(-10)).
88
Suppose 2*m + 2 = 0, -4*m - 64 = 15*t - 12*t. Let i(n) = -4*n - 53. Calculate the smallest common multiple of i(t) and 9.
27
Let z(q) = -12*q + 53 - q**2 - 41 + 48. What is the least common multiple of z(0) and 120?
120
Suppose 5*j + 23*q = 21*q + 86, -3*j + 58 = -2*q. Calculate the lowest common multiple of 3342 and j.
10026
Let t = 4555 - 22762/5. What is the common denominator of t and -83/4164?
20820
Calculate the common denominator of 54/11 and (3/7)/((-502)/3765).
154
Let y be 4 + -4 - (-1674)/(2/(-2)). What is the common denominator of -45/8 and (y/155)/(-2*52/30)?
104
Let j be (70594/(-18))/(2/(-3)). Suppose -22617 + 4900 = 3*t - 2*c, 0 = -5*c - 10. Let s = j + t. What is the common denominator of -81/8 and s?
24
Suppose 610 = 8*h + 434. What is the smallest common multiple of (3 - -11) + 0 + -1*4 and h?
110
Suppose 3*n - 2828 = 3097. Let s be (-4)/(-5) - 1705/n. Let l = s - 5011/711. Find the common denominator of 33/10 and l.
90
Let i(t) = -7*t - 1. Let a be i(-3). What is the common denominator of 1 + a/(-56)*-1 and (-506)/(-60) + (-6)/45?
70
What is the least common multiple of 4 and ((-18995)/(-3) - 4) + (-594)/162?
6324
Calculate the common denominator of -67/123 and ((-15630)/(-1956) - 8)*152/(-9).
20049
Find the common denominator of 29/1009 and (-98208)/10395 - 1/(-21).
5045
Let u = 44 - 45. What is the common denominator of 152*((-5)/u)/(-30) and 47/3?
3
Let s(b) = 193*b**3 - 23*b**2 - 13*b - 9. What is the smallest common multiple of 51 and s(3)?
84252
Let n = -2/41309 - 1445743/1487124. Let j be (8/(-3) + 2)/(80/(-1800)). Calculate the common denominator of (22/j)/((-8)/(-10)) and n.
36
Let g = 28150/57 - 85156714/172425. Find the common denominator of 97/550 and g.
6050
Let c = -116 + 205. Let k = -79 + c. Let z = -2 - -10. What is the least common multiple of k and z?
40
Let a be (-8)/1 - (6 + -11). Calculate the common denominator of (2 + 775/(-90) + 1)*a and 43/21.
42
What is the smallest common multiple of 72 and (-3)/51 - 8603875/(-2975)?
17352
Let r be (-56)/(-14) + -62 + 2. Let k be 2/(-3) + 4/(-12). Find the common denominator of k/4 + 302/r and 101/8.
56
Let a be ((-102)/12)/(2/76). Let i = -315 - a. What is the lowest common multiple of 9 and i?
72
Let p = -680/9 + 10847/144. What is the common denominator of p and 127/66?
528
Let v = 2243/28728 + -16/189. Calculate the common denominator of 65/16 and v.
304
What is the common denominator of 71/266 and ((-123)/(-1476))/((-63)/246)?
2394
Let x = -47091/20 - -2359. Let r(m) = -24*m**2 + 4*m - 8. Let l be r(5). What is the common denominator of x and 1547/l + (-6)/21?
60
Suppose 0 = -2*r + 4*k + 5316, 5*r = -5*k - 562 + 13897. Calculate the lowest common multiple of r and 2664.
2664
Let a = 14/57 + 37/133. Let q(j) = j**3 + 12*j**2 - 7*j. Let r be q(-11). Calculate the common denominator of ((-6)/(-4))/3 + (-273)/r and a.
231
Let s be (4/10)/((-10)/(-50)). Suppose -s = 10*n + 8. Find the common denominator of 34/11 and 3/5*n*55.
11
Suppose -t - 7 = 6*t. Calculate the common denominator of -47/6 and 123/14*t + 11/11.
42
What is the smallest common multiple of 12*1 + (-26 - 1062)/(-16) and 608?
3040
Let h = -1900 + 1022. Let a = -877 - h. What is the smallest common multiple of a and 4?
4
Find the common denominator of (-77)/88*(-3)/(-7) and (13/507)/(14/6*(-88)/77).
104
Let d be 2 - (1 - (-2454)/14). Let c = 58270040 - 10605179525/182. Let a = c - d. Find the common denominator of a and 101/4.
52
Let v be (-24)/(-132) + 398/(-11). Let g = v - -64. What is the least common multiple of g and 10?
140
Suppose 3*b + 1 = -8*h + 3*h, 33 = b - 5*h. Suppose 4*m = -3*w + b, 2*w = -0*w + 5*m + 13. Suppose 7*a - 66 = w*a. Find the common denominator of -95/6 and a.
6
Let s = -13736 + 1730623/126. Find the common denominator of s and -137/42.
126
Suppose -9 = 2*g + 4*d - 33, -3*g + 3*d = -9. What is the common denominator of 1/g*531/33 and -89/4?
44
Suppose -15*b + 19*b - 20 = 0, 0 = -4*p + 5*b - 685. Suppose 4*o = -22 + 6. Find the common denominator of p/(-12) - -3 - o and -59/34.
68
Let w(t) = 5*t - 15. Let h be w(5). Let y be (-4)/h + 34/10 + -2. Find the common denominator of y*3/((-27)/62) and 10/9.
9
Calculate the common denominator of ((-10)/50*(-20)/76)/((-80)/117) and -67/418.
16720
Suppose 6*l + 144 = 17*l + l. Calculate the lowest common multiple of 1305 and l.
5220
Let a = -17/931 - -66917/44688. Calculate the common denominator of 101/92 and a.
1104
Let y be (-112)/(-21)*(-9)/(-12). Suppose 0 = -5*j - y*l + 196, j + l = -2*l + 48. What is the least common multiple of j and 54?
108
What is the common denominator of 74/255 and ((-79)/136)/(115/(-460))?
510
Let q = 4980669/4571710 - 1683/1495. Find the common denominator of 89/18 and q.
27522
Suppose 89*j - 90*j = 8. Calculate the common denominator of j/((-9328)/(-5863)) - -6 and (178/15)/((-8)/5).
636
Calculate the common denominator of -73/296 and (3 - 8637/(-2220)) + -56 + 49.
1480
Let j(l) = 395*l + 1585. What is the least common multiple of 5534 and j(-4)?
27670
Let c(j) = 132*j + 11400. Calculate the least common multiple of c(-83) and 8.
888
Let r be (3/(-9))/(1/2487*2380). Let h = -24/119 + r. What is the common denominator of h and 15/11?
220
Let g(o) = o**2 + 34. Let c(d) = d**3 - 8*d**2 - 6*d - 22. Let f be c(9). Suppose -3*h + 11 = f. What is the least common multiple of g(0) and h?
34
Let z be ((-26)/(-6) - 1)/((-4)/(-108)). Let i be 1240/z*10/(-32). Let n = 38/9 + i. What is the common denominator of n and 55/12?
12
Let t = -129 - -201. What is the common denominator of 67/56 and 4/t*-2*(-328)/32?
504
Suppose 652 = 130*b - 128*b. Suppose -2*w = x + 2*w - 118, -2*w = -3*x + b. Calculate the smallest common multiple of x and 2.
110
Suppose 128*c - 42716 = -234*c. Calculate the lowest common multiple of 4484 and c.
4484
Let o(u) = u**2 - 75*u + 1467. Let l = 17 - -46. Calculate the lowest common multiple of l and o(39).
63
Let i(k) = -113*k - 3374. Let m = -84 - -55. Let c = m - -65. What is the lowest common multiple of c and i(-30)?
144
Suppose 2*g + 2*g = -3*f - 198, 0 = -2*f + 3*g - 149. What is the common denominator of -73/20 and -2 + f/24 - (-5)/(