2/1269 + i. Find the common denominator of l and g.
12
Let j be -7 - 228 - (-8 - -2). Let y = j + 259. Calculate the least common multiple of 24 and y.
120
Let t = 18306 - 109723/6. Find the common denominator of t and (-10)/(-35)*(1 + -23).
42
Let c(b) = -b + 1. Let z(p) = 6*p + 8. Let s(k) = 4*c(k) + z(k). What is the least common multiple of s(3) and 44/((-3)/6 + 1)?
792
Suppose -109*d = 9*o - 114*d - 1713, d - 3 = 0. What is the smallest common multiple of 176 and o?
2112
Suppose 5*f - 41 = -2*j, -3*j + 0*f = 4*f - 51. Suppose -5*o + j = 28. Let u(w) = -15*w + 1. What is the least common multiple of u(o) and 4?
92
Let f = -4651 + 9383/2. What is the common denominator of f and -7/918?
918
Let a = -275147/3 - -786920513/8580. Find the common denominator of 27/10 and a.
2860
Let a be (20/6 + 0)/((-8)/(-12)). Let v(g) = 5 - a*g + 9*g**2 + 0 + 15*g**2. What is the smallest common multiple of 14 and v(1)?
168
Let i be (-1)/(4/80*-2*2). Calculate the common denominator of (i - (-213)/(-66))*2 and 28/123.
1353
Let r(d) = -823*d - 4105. Calculate the least common multiple of 5065 and r(-5).
10130
Let j = -64 + 70. Suppose -3*s - 9 = -0, 3*s = -3*c - 111. Let g = c - -52. Calculate the lowest common multiple of g and j.
18
Suppose 3*t - 4*t = -7. Let d(k) = k**3 - 6*k**2 - 8*k - 9. Let i be d(t). Let v = i + 22. What is the least common multiple of v and 30?
30
Let r(l) = -61*l + 878. Calculate the least common multiple of (-26 - -8)/(((-30)/(-4))/(-5)) and r(14).
24
Let x = -57113991919/6864 - -8320803. What is the common denominator of x and -113/10?
34320
Let c(y) = 3*y**2 - 16*y + 156. Suppose -14*t = -0*t - 770. What is the lowest common multiple of t and c(8)?
220
Let s = -3766429/176 + 21400. What is the common denominator of s and 73/400?
4400
Suppose 5*d - 44 = d. Let n = -446 + 435. Calculate the least common multiple of (2/n)/(-1) - (-3977)/451 and d.
99
Let t = -5/196351 + -10986861/345381409. Let l = 2391453/251537 + t. Let f = l + -96/13. Find the common denominator of -99/4 and f.
44
Let w be (5*2/(-20))/((-1)/(-2)). Calculate the common denominator of -27/5 and (1 + 21/(-8))/w.
40
Suppose 17*m = 90 + 80. Let s be (-3 + -13)/(-4)*16. Suppose -3*w + s = w. Calculate the lowest common multiple of w and m.
80
Let t = 6/637 + -1459/87269. Let v = t - 4779/2192. Calculate the common denominator of v and -119/20.
80
Let x be 200/15*(2/4 - -1). Let h be ((-15)/x)/(3/12). Calculate the smallest common multiple of 30 and ((-4)/(-2))/(101/33 + h).
330
Let z = 3583 - 5736385/1601. Let b = -1881798514 - -9038278312367/4803. Let h = b - z. What is the common denominator of -24 and h?
3
Let z = 14938 - 8450. Let p = z + -1064. Let f = 65035/12 - p. Calculate the common denominator of f and -34/21.
84
Suppose -3*d - 57 = -18. Let r(i) = i**3 + 17*i**2 + 11*i - 71. What is the lowest common multiple of r(d) and 2?
462
Suppose -10*j + 0*j = 50. Let t be -24 + j + -5 + 9. Let g = t + 50. What is the smallest common multiple of 4 and g?
100
Suppose -2*j + 14 = -5*r - 13, r = 4*j - 45. Suppose j*x - 294 = 718. Calculate the lowest common multiple of 4 and x.
92
Let m(v) = -v**2 + 32*v - 4. Let t be m(22). Let r = 396 - t. What is the least common multiple of 162 and r?
1620
Let k(w) be the second derivative of 21*w**4/4 - w**3/6 - w**2/2 + 15*w - 2. What is the smallest common multiple of 77 and k(-1)?
693
Let k(c) = -c**2 + 12*c - 8. Let j be 2/(-6) + (-2)/(36/(-78)). Suppose j*f - 28 = 4*v, 4*v - 2 = -f + 5. What is the smallest common multiple of k(f) and 3?
27
Let c(u) = -21*u - 92. Let v be c(-5). Find the common denominator of 62/99 and ((-208)/24)/v - 116/33.
99
Suppose -329*a = -348*a + 26695. What is the lowest common multiple of 8 and a?
11240
Let m = -1733/42 + 192/7. Calculate the common denominator of m and 101/3060.
3060
Suppose -s - 2*s - 54 = 0. Let o = -166 + 167. What is the common denominator of ((-1788)/s)/(o*4) and 9/40?
120
Let j = 13509 - 12429. What is the least common multiple of j and 630?
7560
Calculate the lowest common multiple of (-189)/(-315) - (548/10)/(-2) and 648.
4536
Let t be 11/((-44)/(-256)) + -4. Let w = 206 + t. What is the common denominator of -1 + 1/(20/w) and -71/8?
40
Let o = -12596 + 1322551/105. Find the common denominator of o and -5/231.
1155
Suppose -5*s + 30 = -170. Let j = -2863 - -157456/55. Find the common denominator of j and 4 - (-116)/s - (-3)/(-3).
110
Suppose -10*c - 3 = -7*c. Find the common denominator of 13/30 and ((186/(-378))/c)/((-6)/(-7)).
270
Calculate the common denominator of (-153)/(-765)*(-18)/(-232)*-7 and -33/232.
1160
Let u = -687 - -1467. What is the smallest common multiple of 24 and u?
1560
Let h(m) be the first derivative of m**2/2 - 9*m - 1. Let c(o) = -o**3 - 12*o**2 + 9*o - 32. Let x be c(-13). What is the least common multiple of 2 and h(x)?
22
Let f = 776712 - 1514588549/1950. Calculate the common denominator of -23/150 and f.
1950
Let g = -2 + -14. Let s be (g/(-20) - (-1)/5) + -118. What is the common denominator of (-1)/3 - 96/s and 34/33?
429
Let g = -671 - -685. Suppose -g*r - 17 = -p - 10*r, 0 = -4*p - 2*r - 4. Calculate the lowest common multiple of 28 and p.
28
Let f = -2665781/96 + 27770. Calculate the common denominator of -35/1536 and f.
1536
Calculate the common denominator of 43/2039 and 12 - (-23)/(5980/(-5174)).
20390
Let h = 21742277 + -956618955/44. Let q = h - 937. Let t = 3/22 + q. Find the common denominator of -17/18 and t.
36
What is the common denominator of (-975)/(-132)*(5 - 432/80) and -9/2816?
2816
Let a(c) = 3*c**2 + 35*c + 5. Let o be a(-12). Suppose -o*k + 8*k = -189. Calculate the least common multiple of 32 and (k/2 + -6)*(-16)/(-6).
96
Let l be ((-1806)/(-39))/(-2) - (-4)/26. Find the common denominator of 1*1/((-11)/(-46)) and (l/3)/((-68)/(-51)).
44
Let n be 7/(210/(-4))*(-2493885)/24. Let x = -13865 + n. What is the common denominator of x and 29/27?
108
Let q(d) = -10*d - 22. Let x be q(-4). Let y(l) = 3*l**2 - 51*l - 50. Calculate the smallest common multiple of 6 and y(x).
12
Let h(y) = 276*y - 756. Calculate the least common multiple of h(5) and 33.
6864
Let t be (0 - 1 - 1) + 6. Suppose -t*r - r + 1010 = 0. Let o = 44560 + -44550. Calculate the least common multiple of o and r.
1010
Let k = 28042 + -7487284/267. What is the common denominator of k and 71/267?
267
Calculate the common denominator of (572/(-14352))/(8/(-42)) and -37/46.
368
Let h = -637 - -613. Calculate the common denominator of -109/52 and (-1)/h*594/(-8).
416
Suppose 5*g + 0*g - 215 = 0. Let l(h) = h**3 - 10*h**2 - 11*h + 112. Let s be l(10). Suppose -s*z - 33 = -g. What is the smallest common multiple of z and 6?
30
Suppose 24*x - 28*x = -60. What is the smallest common multiple of 411/x - ((-16)/10 + 2) and 3?
27
Calculate the common denominator of (-356)/312 + (42 - 39) and 61/630.
8190
Let v be -2146 + (0 - (-1 - -4)). Let m be -1 + ((-38931)/(-18) - 3). Let z = v + m. Calculate the common denominator of z and 67/6.
6
What is the least common multiple of (-35)/(-1) + -4 - (-8 + 1)/(-7) and 460?
1380
Let f = -419121 - -466481612/1113. What is the common denominator of 9/119 and f?
18921
Suppose 45 = -r + 2*z + 473, 3*z - 458 = -r. What is the least common multiple of 520 and r?
5720
Suppose 34*k - 100*k = -29*k - 24568. What is the smallest common multiple of 12 and k?
1992
Let a = -517 + 555. What is the least common multiple of a and 7/(-2) - 837/(-54)?
228
Let z(m) = 3*m**3 - 14*m**2 + 6*m + 14. Calculate the least common multiple of 618 and z(4).
618
Suppose 5*m - 5*a + 36 = 16, m + 14 = -4*a. What is the smallest common multiple of 456 and 546/52 + m/4?
1368
Let s(i) = 617*i - 19106. Suppose 0 = v - 6*v + 25. Suppose -v*p + 45 = -0*p. What is the smallest common multiple of p and s(31)?
63
Let d = 58 + -52. Find the common denominator of ((-142)/(-6))/(d*(-4)/9) and -35/4.
8
Suppose -5*a = -13 - 7. Let w(p) = -3*p**2 + 7*p - 10. Let d be w(a). Let g = d - -62. What is the lowest common multiple of 12 and g?
96
Let l(c) = -c**3 - 5*c**2 + 13*c + 21. Let g be l(-6). Calculate the common denominator of 346/(-84) - 6/g and 51/4*15/9.
12
Let r(n) = n**3 + 7*n**2 - 3*n + 6. Let w be r(-6). Calculate the common denominator of (-273)/(-30)*w/72 and -7/304.
91