9). Let r be (-3286)/(-84) - (-4)/x. Let h = 241/6 - r. What is the common denominator of h and -41/12?
84
Find the common denominator of 11/5510 and (73 - -8)/((-20263)/184 - 1/(-8)).
60610
Let t = -7461/2177 + -3/2177. Calculate the common denominator of t and 39/224.
224
Suppose 5*s - 3*s = 5*x - 61, 5*x - 49 = -2*s. Suppose -14 = -2*m - 5*b, -5 + 3 = -4*m + 3*b. Let y = m + 1. Calculate the least common multiple of y and x.
33
Calculate the lowest common multiple of 52 and (780/(-225) - ((-114)/30 + 3))*-186.
6448
Let w = -5943 - -7752. Calculate the least common multiple of w and 402.
3618
Let w = -8733 + 8937. What is the smallest common multiple of 18 and w?
612
Let j(s) = -3*s**2 - 30*s - 44. Calculate the least common multiple of 67 and j(-2).
268
Let u = -2 - -8. Let p = 28/79 - -6547/474. What is the common denominator of p and 15/u*34/(-12)?
12
Let v be -1 + (19922/(-48) - -1). Let n = -417 - v. What is the common denominator of n and 40859/(-12012) - (-18)/8?
264
Let c(z) = z**2 - 35. Let b be c(-5). What is the common denominator of -49/9 and (9/7)/(2/b)?
63
Suppose 0 = -3*m + 3. What is the common denominator of (614/(-36) - 4) + 4/18 and ((-12)/70)/(m/135*4)?
42
Let p(q) = -5*q + 163. Suppose 15 + 15 = 2*y + v, -5*v - 30 = -2*y. Calculate the lowest common multiple of p(32) and y.
15
Suppose -l + 2*u - 208 = 0, -l - 74 - 110 = 4*u. Let d = 227 + l. What is the least common multiple of 45 and d?
135
Suppose 2*r + 5*n - 625 = 0, -3*r - 4*n - 84 = -1039. Calculate the smallest common multiple of 195 and r.
975
Let j(d) = -d**3 + 35*d**2 + 4*d - 130. Suppose 5*x + 3*s = 57, 2*x + 2*s - 34 = -2*s. Calculate the lowest common multiple of x and j(35).
90
Let s = 16952 + -203273/12. Let t = 6712/2242317 - -2/3927. Let n = 18815/7994 + t. Calculate the common denominator of n and s.
84
Let c = -331/3344 + 51/176. Let f(u) = -19*u**3 - 5*u**2 + 3*u + 8. Let y be f(4). Find the common denominator of (-1)/(-4 + y/(-412) - -1) and c.
760
Let k be -3 - 4/((-8)/150). Let w = 7/1054 - -11278/7905. Calculate the common denominator of w and 86*((-3)/k)/1.
60
Suppose p + 6060 = 2*p - 3*q, p = 2*q + 6052. What is the smallest common multiple of p and 32?
48288
Let i(j) = 7*j - 15. Suppose -12 = -5*p + 3. Let q be i(p). What is the common denominator of 149/12 and ((-13)/(-12) + -1)/(q/392)?
36
Suppose 4*m - 5*u = -7, 4*m + 4 = -4*u - 12. Suppose p + 0 - 10 = 0. Calculate the least common multiple of p and (((-84)/(-10))/(-6))/(m/15).
70
What is the lowest common multiple of ((-27)/(-12))/((-369)/(-360) - 1) and 2140?
19260
Let g = -104850 - -104868. Let v(l) = l**3 - 4*l**2 + 3*l + 6. What is the lowest common multiple of g and v(8)?
2574
Let j(a) = 6*a - 23. Let w(o) = 12*o - 45. Let m(s) = 5*j(s) - 2*w(s). Let q be m(8). Let z = q - 17. Calculate the least common multiple of z and 2.
6
Let x = -19 - -17. Calculate the common denominator of ((-29)/30 + 1)*93 and (x/(-216))/((-5)/(-1370)).
270
Let x(f) = -f**3 + 25*f**2 + 77*f + 255. Calculate the smallest common multiple of x(28) and 177.
177
What is the least common multiple of ((-1)/(-9)*3)/((-31)/(-2790)) and 3822?
19110
Let r = 6 - 14. Calculate the least common multiple of (-885)/(-12) - 2/r and -2*(0 + 4) - -14.
222
Let t = -286012/88455 + 1/11794. Let y = 10257/4 - 7685/3. Calculate the common denominator of t and y.
60
Suppose -19*p - 16 = -23*p. Suppose 33 = -3*r + p*y + 209, 5*r = 2*y + 270. What is the lowest common multiple of 40 and r?
520
What is the common denominator of ((-16)/3 - 0)/(27750/666) and -5/3?
375
Suppose -4*x + 36*x - 672 = 0. Suppose -2*g = -i + 27, 4*i - 128 = g + 2*g. Calculate the lowest common multiple of x/14*(-60)/(-9) - 4 and i.
210
Let m = 64 + 76. What is the common denominator of (1 - 6) + m/(-240) and -143/120?
120
Let t(o) = 1520*o - 1464. Calculate the lowest common multiple of t(1) and (-4)/((-2)/4 - 0).
56
Let u = 16913 + -16178. What is the least common multiple of 147 and u?
735
Suppose -51 = -2*f + 3*a, 0 = -4*f - 14*a + 18*a + 96. Calculate the lowest common multiple of f and 2.
42
Suppose -33*w - 36*w + 85*w - 2080 = 0. What is the lowest common multiple of w and 1664?
8320
Suppose 14*x - 8403 = -1352 + 2021. What is the lowest common multiple of 162 and x?
648
Let u be 3/8*4*(-24)/2. Calculate the common denominator of 5/4 and ((u/111)/3)/(700/775).
1036
Suppose -3*z - 16 = 2*z + 3*t, -2*z - t - 6 = 0. Calculate the common denominator of -1*2/20 - (z - -7) and 41/7.
70
Let z = 623049773029/12111498 + 1/6055749. Let l = z + -53089. Let x = l + 1632. Calculate the common denominator of x and -19/3.
6
Suppose -2*k - 1122 = -124. Let y = 281 + k. What is the common denominator of -31/58 and (-5)/200*y + -4?
580
Calculate the lowest common multiple of (-13 + 2 + (8 - 3))*-105 and 48.
5040
Let m be 2 - -1 - (-344770)/(-160). Let x = m - -2151. Find the common denominator of x and (2/(-4))/((-10)/570).
16
Let m(g) = 11*g**2 + 35*g + 43. Let a(z) = 5*z**2 + 18*z + 21. Let r(d) = -9*a(d) + 4*m(d). What is the smallest common multiple of r(-21) and 3?
12
Suppose -3*u = -0*u - 9. Suppose -3*h - 2 = 5*v, -10*h - 5*v - 8 = -8*h. Suppose 10*z = h*z + 8. Calculate the least common multiple of u and z.
6
Let j = 110 - 108. Calculate the common denominator of -65/6 and (-324)/88 + (j - 3) + 3.
66
What is the common denominator of -87/112 and 2788/15744*30/(-8)*2?
448
Suppose 1492 = 4*l + 2*y, 8*y = -l + 9*y + 376. Calculate the lowest common multiple of l and 38.
7106
Suppose 26*o - 227 = 501. What is the lowest common multiple of 392 and o?
392
Let d = -22 - -255. Calculate the smallest common multiple of (-18)/72 + 18/8 and d.
466
Let u be (-2)/(-3) + (-6 - 19052/(-33)). Let v = u - 566. What is the smallest common multiple of 14 and v?
42
Let b(r) = -r**2 + 17*r - 27. Let o be ((-5)/15*1)/((-3)/144). Let j be b(o). Let u = j - -20. Calculate the lowest common multiple of 30 and u.
90
Suppose -3*m = -x - 68, 27 = -4*m + x + 119. Let h = -1429 - -1435. What is the lowest common multiple of m and h?
24
Let l = 14074 - 14050. Let v = 2 - 3. Calculate the lowest common multiple of l and (-219)/(-9) + v/3.
24
Let f = 4131 + -4116. Calculate the smallest common multiple of f and 1041.
5205
Suppose 3 = -5*x - 4*u + 1, -4*u = 4*x + 4. Find the common denominator of -107/12 and (-32153)/(-4740) + (7 - x)*-1.
60
Let u = -5455 + 174527/32. Suppose 9 = 3*m - 18. Calculate the common denominator of u and (m/16)/(1*(-18)/120).
32
Let t = 12029 - 6461. What is the lowest common multiple of t and 18?
16704
Suppose -20 = 5*h + 4*o - 0*o, -h - o - 5 = 0. Suppose -90 = -5*b - h*b. Let p = -3715 - -3718. Calculate the least common multiple of p and b.
18
Calculate the common denominator of 89/150 and (-8393)/6930 + (-2)/12.
450
Let k be (-3 - (-1 + -3))*2. Suppose k*f = -d + 2, -4*d + 29 = -2*f - 9. Calculate the common denominator of -39/7 and ((-110)/d)/(-2 - -4).
56
Suppose 1230 = 5*i - 2085. What is the common denominator of i/(-65) + 0 + 3 + -1 and ((-26)/(-3))/((-5)/10)?
15
Let b be 2139/(-18)*(-1708)/(-26). Let o = 7806 + b. Find the common denominator of o and ((-188)/24)/(15/(-6)).
195
Calculate the common denominator of ((-2945)/5187 - 12/(-42))/(2/27) and -9/286.
286
Let n = -20/1419 - 89195/215688. Find the common denominator of 4 - 1 - 10/36 and n.
1368
Let j = -8254/5 + 1246479/755. Let c = 892 + -7125/8. Calculate the common denominator of j and c.
1208
What is the least common multiple of 154 and (-7 + 2)/((-8)/(4032/20))?
1386
Let o = 384 - 383. Find the common denominator of (21/(-10))/((-2)/15*o) and 101/8.
8
Let r = -254/165 - 18/55. Let j = 7652 + -321365/42. Find the common denominator of r and j.
210
What is the common denominator of -107/670 and (-793*61/47580)/((-1)/2 - 0)?
2010
Find the common denominator of (-229)/330 + (-11)/((-660)/8) and 26/63.
1386
Suppose 0 = -v - 7 + 2, -a = v. Suppose 86*o - 84*o = 386. Suppose -o*s = -196*s + 69. Calculate the lowest common multiple of a and s.
115
Let g(p) = -169*p + 1523. What is the lowest common multiple of 2054 and g(9)?
2054
Suppose -59*v - 9 = -56*v. Find the common denominator of -73/8 and (-19)/4*((-90)/33 - v).
88
Suppose 4*h - 74 - 448 = 3*m, 0 = 2*h - 5*m - 254. What is the least common multiple 