. Let f(j) = 2*j**2 + 2*j - 1. Calculate the least common multiple of f(-3) and ((-25)/20)/((s + 3)/16).
55
Let q be 1 + -4 - (13 + -12). Let r be q/(-356)*(-3)/(-19). Let i = r + 104779/35511. Find the common denominator of i and -23/10.
210
Suppose -5*x + 46 = p + 14, p = -3*x + 22. Suppose p*b - 9*b - 12 = 0. What is the least common multiple of (b - 12/3)/(-1) and 5?
10
Let x be 20/(-4)*142/(-5). Let n = 240 - x. What is the smallest common multiple of 18/14*7 + 7 and n?
784
Suppose 0 = -2*q + 551 + 133. Suppose -2*r - q = r. Calculate the common denominator of 77/10 and r/(-4)*4/(-96).
80
Calculate the least common multiple of 422/28 + 370/(-5180) and 9 - (-440)/(-50) - (-38)/10.
60
Suppose -5*v - 208*a + 206 = -207*a, 3*v - 102 = 3*a. Calculate the lowest common multiple of 538 and v.
10760
Let k(t) = 2*t**3 - 3*t**2 + 5*t - 2. Let w(s) = s**3 + 11*s**2 - 4*s - 54. Calculate the smallest common multiple of k(3) and w(-3).
120
Let p = 3/3391 + -179759/40692. Calculate the common denominator of p and ((-5)/30)/((-1139)/134*((-12)/(-3))/52).
204
Let l(i) = -i**2 - i - 18. Let n be l(0). Find the common denominator of -95/74 and ((-372)/(-128) - 3)/(n/(-348)).
592
Suppose -6*b + 50 = 56. Calculate the common denominator of b/((-8)/3) - 2740/3360 and -5/12.
84
Let p(x) = x**3 + 13*x**2 - 18*x - 38. Let h = 79 + -50. Suppose 0 = 27*l - h*l - 28. Calculate the lowest common multiple of p(l) and 6.
18
Let v = -100 + 87. Calculate the common denominator of 25/8 and v/30*81/(-18).
40
Let w = 185064509/624 + -296578. Find the common denominator of w and 151/12.
624
Suppose -2*v - 5*b - 54 = -4*v, -4 = 2*b. Let u = 784 + -776. What is the lowest common multiple of u and v?
88
Let u = -42514/19 + 63845549/28652. Let b = 7/377 + u. Find the common denominator of b and -155/468.
468
Let a = 3693211/74 - 49907. Calculate the common denominator of a and 31/14.
518
Calculate the common denominator of 1*2*(3773/(-198) - -17)*-1 and 34/63.
63
Let u be (39/3)/(6/30). Let d be (-2522)/14 - (u/35 + -2). Find the common denominator of -3*455/d - -3 and 17/8.
24
Let w = 1/21779 - 1284969/174232. Calculate the common denominator of w and -44/137.
1096
Suppose 51*p - 46*p = -4*h + 1440, -3*h + 576 = 2*p. Calculate the smallest common multiple of p and 192.
576
Suppose 5*v - 37 = -7. Let j(l) = l**2 - 6*l + 2. Suppose 23*c - 126 - 230 = 12. Calculate the least common multiple of j(v) and c.
16
Let v = 61594/11 - 831133/110. Let j = -1965 - v. What is the common denominator of (23/(-7))/(18/21) and j?
30
Suppose -4*m - 224 = -1776. Let q = m - 1147/3. Calculate the common denominator of 52/27 and q.
27
Let a = 298989 - 220055951/736. Calculate the common denominator of a and -87/128.
2944
What is the common denominator of (-187)/748 - (-242)/(-336) and 17/462?
1848
Suppose 3*h = 54 - 6. Let w = -221563 + 221577. Calculate the least common multiple of w and h.
112
Suppose -5*v = y - 11862, y + 3*y = -4*v + 47416. Suppose 2*i - 25654 = y. Let a = -225185/12 + i. What is the common denominator of a and 35/6?
12
Let c = -176/5 - -1774/45. Calculate the common denominator of -105/68 and c.
612
Calculate the common denominator of (-65)/18 + 5/30 and -4 + (-160)/(-36) + (-1)/(-81).
81
Let w be (10/4)/5*-14*1. Calculate the common denominator of -89/16 and (w - -20)/(36*-1).
144
Let u = 1264029/640 + -1975. Calculate the common denominator of 7/720 and u.
5760
Suppose 0 = h - f - 6451, 2*h = 2039*f - 2043*f + 12932. Calculate the least common multiple of 72 and h.
19368
Let l = -21165 - -26997. Calculate the smallest common multiple of 54 and l.
5832
Let d be (-8 + 2)*(-4)/3 - 4. Calculate the lowest common multiple of d/(-12)*1/(1/(-117)) and (3/2)/(52/16 - 3).
78
Calculate the common denominator of -139/150 and ((-181)/(-40) - 10)/(264/(-32)).
1650
Let p = 3171 - 69783/22. What is the common denominator of p and 109/30?
330
Let z(i) = 2435*i + 38. Let m be z(3). Let r = m + -73361/10. Find the common denominator of r and -5/64.
320
Let h be (-259)/49 - -5 - 72270/(-7). Let a be (-2 - (-170362)/h)*(-13)/(-26). Let j = a - 2/2581. Calculate the common denominator of j and -75/8.
8
Calculate the lowest common multiple of 207 and 9 + (9 + (-133)/19 - (1 + 1)).
207
Suppose 4*a - 2099 = -5*m, -5*m = 4*a - 2*m - 2085. Calculate the least common multiple of 172 and a.
516
Let g = 1/2741 - 243953/10964. Let u = -29138129847661/34748 + 838555596. Let t = 6/511 + u. What is the common denominator of g and t?
68
Let g(m) = 2*m**3 - 4*m**2 - 3*m - 6. Let r be g(4). Let i = r - 44. Calculate the common denominator of (i + 70/(-6))*(1 - 3) and -113/24.
24
Let u = 42087 + -4082403/97. What is the common denominator of ((-204)/24)/((20/(-16))/1) and u?
485
Let z be 3 + (-2619052)/873012*1. Let i = z + 19455740/2400783. Let t = i + -1857/154. What is the common denominator of 75/28 and t?
308
Let s = -11325007900/1317 + 8599099. Let d = s - -3/878. Let p = 5629 + -78689/14. Calculate the common denominator of p and d.
42
Let a = 1487041/64904274 + -3/51146. What is the common denominator of 55/3807 and a?
3807
Let b be -2 + (-2 - -1) + (-1 - -22). Let r = b - 15. Suppose -49 = t - 2*j - 69, 25 = 2*t - j. Calculate the lowest common multiple of t and r.
30
Let n = 73 + -21. Let q = 77 - n. Let u = q + -4. Calculate the least common multiple of u and 21.
21
Suppose 6*t - t + 1 = -v, 5*v - 5*t = -5. Let d = 31253/30 - 3158/3. Find the common denominator of d and ((-22)/(-120))/(v/9).
20
Calculate the common denominator of 10/9 and 193 + -200 + 21218/3022.
13599
Let z = 1/264 + -3653/264. Suppose 2*v + 4*a = -48, 3*v + v + 2*a = -72. What is the common denominator of z and (-57)/19 - ((-78)/v + 0)?
24
Let s = 175822/5 + -35311. Let x = s - -16021/110. What is the common denominator of (-4)/(96/214) - -3 and x?
132
Suppose 10*o + 36 = -8*o. What is the common denominator of (-15)/6*(-62)/(-20) and o/13 + 8742/(-468) + 0?
12
Let f = 9 - 5. Let d = 132 - 122. What is the least common multiple of f and d/55*1 - (-262)/11?
24
Suppose -14*j + 11*j = 9. What is the common denominator of -69/4 and 113/(-132) - (-4 - 11/j)?
44
Let y = -4851 - -11695. Let f = 376406/55 - y. Find the common denominator of 35/44 and f.
220
Let g(t) = -t + 10. Let v be g(2). Suppose 3*j = -5*l - 53 + v, 3*j = 3*l - 69. What is the common denominator of (212/(-10))/(j/(-25)) and 49/48?
48
Suppose o - 3*u = 1924, 5*o = u + 7593 + 1999. Let l be ((-7228)/(-16))/1*700/165. Let q = o - l. Find the common denominator of q and 34/27.
297
Suppose 35*i - 34*i - 71 = 0. Suppose 61*x = i*x - 40. Calculate the lowest common multiple of x and 85.
340
Let q be (3 - (-2228)/(-740))*(-72 + 2). Let b = 1613/518 - q. Calculate the common denominator of -51/130 and b.
910
Suppose 5*o + 360882 = 360927. Suppose -3*a + 368 = 2*i - 136, -2*a = i - 336. What is the smallest common multiple of o and a?
504
Let h = -3770 + 821887/218. What is the common denominator of 2 - 1 - (-19)/(-9) and h?
1962
Let l(q) = 4*q**3 + 17*q**2 - 6*q - 13. Let z(r) = r**3 + r**2 - r - 1. Let c(g) = l(g) - 6*z(g). What is the least common multiple of c(5) and 2?
18
Let o = 2914/13 + -28139/130. Calculate the common denominator of 53/4464 and o.
22320
Let h = 343/6 + -274/5. Let d be (1075/7)/(240/11900). Let c = d - 7609. Calculate the common denominator of h and c.
60
What is the common denominator of (1265/(-1050) - 9/21)*18/(-351) and -47/21?
4095
Let w = 73 - 71. Suppose m - 2*t = 28, -2*m + 3*t + w*t + 60 = 0. Calculate the lowest common multiple of m and 25.
100
Suppose 0 = -6*z - 50 + 8. Let d(a) = -a**3 - 6*a**2 + 2*a - 21. What is the lowest common multiple of d(z) and 10?
70
Let k = -11377603/247598 + 4912/107. Find the common denominator of k and 85/12.
13884
Let o(u) be the second derivative of -u**3/3 - 7*u**2/2 - 28*u. Let z be o(9). What is the common denominator of ((-58)/310)/(10/z) and 97/22?
682
Calculate the least common multiple of (-636)/(-84) + -7 + (-1742)/(-14) and 425.
2125
Let h = 33790 - 2196304/65. What is the common denominator of (-101)/(-495) - 16/72 and h?
715
Let l = -4882051/158 + 30899. Calculate the common denominator of l and 73/172.
13588
Let p = -127 + 44. Let b = -78 - p. What is the least common multiple of b and 10?
10
