8. Let o = -314 - -596. Let x = r + o. Calculate the least common multiple of 4 and x.
260
Let z(q) = -43 - 88 + 2*q**2 - 3196*q + 3271*q. What is the lowest common multiple of 16 and z(-41)?
624
Suppose 14*z = 42 + 70. Let n(q) = q**3 + 11*q**2 + 10*q - 10. Let j be n(-8). Suppose 3*v - 36 - j = 0. What is the least common multiple of v and z?
184
Suppose 0 = 12*o - 30*o + 13734. Calculate the common denominator of -53/42 and (-7)/(588/o) + 1.
84
Let u = 47621149/6630 - 21548/3. What is the common denominator of 28/85 and u?
2210
Let s be (-3)/(-1) + (-1194)/(-7 + 1). What is the common denominator of 5/24 and ((48/8)/(-12))/((-60)/s)?
120
Calculate the least common multiple of (20 - 2)/(3 + -9 + 392/64) and 288.
288
Let y(r) = -r**3 - 7*r**2 - 13*r - 24. Let l be y(-8). Suppose 12*u - 20*u = -l. Calculate the least common multiple of u and 24.
72
Let x = -1/896 + 5141/3000704. Let z = 43577/66980 - x. Let a = -15109/20 + 2983/4. What is the common denominator of z and a?
20
Let i = 22168 - 13264. What is the least common multiple of 6 and i?
8904
Suppose p + h - 156 - 480 = 0, 4*p = 2*h + 2520. Calculate the lowest common multiple of p and 12.
1896
Suppose y = -g - 6, y - 6*y = -4*g - 15. Suppose -14 = -2*t, 0 = 5*o - 107*t + 105*t + 54. Find the common denominator of (5 + y)*((-22)/o + -1) and 38/17.
17
Let o(l) = -15*l - 160. Calculate the least common multiple of o(-27) and 175.
1225
Let v = -84 - -134. Suppose 0 = 9*j - 361 + 136. Calculate the lowest common multiple of j and v.
50
Let w = -145 + 217. Suppose 19*u = 11*u - w. Find the common denominator of ((-28 - 0) + 2)/(10 + u) and -31/14.
14
Suppose 77*g - 63*g - 7896 = 0. What is the least common multiple of g and 658?
3948
Let m = 563 - 459. Let b = m - 80. Let a = -9 - -21. Calculate the smallest common multiple of a and b.
24
Let r(u) = -25*u + 572. Calculate the smallest common multiple of 24 and r(20).
72
Let x(v) = 3*v**3 + 5*v - 4. Let k be x(1). Suppose -k*h + 138 = -82. Calculate the smallest common multiple of 10 and h.
110
Find the common denominator of (-60225)/220*1/40 - -8 and 13/160.
160
Let z = -1428 - -680. Calculate the common denominator of -49/5 and 1996/z + 21/(-77).
85
Let p(o) = -2*o**3 + 23*o**2 - 11*o + 2. Let a be p(11). Suppose 53 = a*y - 79. What is the smallest common multiple of y and 66?
66
Let n = -9 - -12. Let o be 1/n - (-3581502)/(-288). Let m = 12440 + o. Calculate the common denominator of m and -83/18.
144
Calculate the lowest common multiple of 3122 and ((-14)/49)/(3/(-126)).
18732
Let l = -26846/13 + 2069. Suppose -4*f = -16 + 20. What is the common denominator of l and f + 206/(-4)*(-2)/6?
78
Suppose -4*u + 30 = -2*r, -4*u - 11*r + 10*r = -15. Suppose 0 = 2*v - 45 + u. What is the least common multiple of v and 20?
20
Suppose -36 + 11 = 5*c, -4*t - 17 = 5*c. Suppose -5*p = o + 40, p - 4*o - 3 = -t*o. Calculate the common denominator of -25/9 and p/42*(-111 - 2).
18
What is the common denominator of ((-17)/(-19244))/((-2)/(-194)) and -71/16?
4528
Suppose -m + 18911 = -3*i, -3*i + 6*m = 10*m + 18901. Let j = -151397/24 - i. What is the common denominator of -109/44 and j?
264
What is the common denominator of (-18)/(928/(-8) + -2) and ((-2)/(-12))/(-3*1/122)?
531
Calculate the smallest common multiple of 130 and (-81)/(-108)*2600/5.
390
Let o = -46842 + 15504715/331. What is the common denominator of o and -79/22?
7282
Suppose -18*q = -20*q - 4*k + 12116, q - 11*k = 6045. Calculate the smallest common multiple of 12 and q.
18168
Let w = -2/484737 + 23105977/43626330. What is the common denominator of 125/66 and w?
2970
Calculate the least common multiple of ((9/4)/3)/(7/(3920/12)) and 915.
6405
Let l be (1/(-3))/(5/(-15)). Let n be l - -2*(-36)/(-8). Find the common denominator of 119/10 and (96/(-15))/(9/n).
90
What is the common denominator of (9 + (-1 - -14))/((-180)/8) and -64/63?
315
Calculate the least common multiple of (-3980)/(-70)*(575/10 + 2) and 7.
23681
Let o = 8/33 - 65/132. What is the common denominator of (-7)/(-154)*-182 + 4 and o?
44
Let a = -8097/236 - 45/236. What is the common denominator of -47/10353 and a?
20706
Find the common denominator of (((-2)/8)/(374/14144))/((-16)/8) and -2 + 2 - (-47)/(-4).
44
Suppose 23*m - 1926 = -52*m - 32*m. Let o(w) = 4*w**2 - w - 2. Calculate the smallest common multiple of o(4) and m.
522
What is the common denominator of 67/13828 and ((-2)/6)/((-1322)/(-120963))?
13828
Let r(x) = -6*x**3 - x**2 - 4*x + 1. Let y be r(-3). Suppose 3*q - q = -y. Let i = 131 + q. Calculate the smallest common multiple of 10 and i.
240
Let x be 63 + -2 + 2 + 0. Let j = -39 + x. Calculate the smallest common multiple of (-1036)/(-105) - 2/(-15) and j.
120
Let a(m) = -36*m. Suppose 0 = -202*i + 1602 + 4054. What is the lowest common multiple of i and a(-1)?
252
Let k be (-6)/27*15*(-9)/6. Calculate the least common multiple of (-15)/k - (25*-3 - 1) and 6.
438
Let w = 577 + -547. Suppose -18 = -8*i + w. Calculate the smallest common multiple of i and 30.
30
Let z = 1/44979 - 4812853/4497900. Find the common denominator of (-53)/530*5/(-4) and z.
200
Let g = -12179/9 - -113471725/83853. Let l = -437867/149072 + g. Find the common denominator of l and 11/6.
48
Let s = -4174 - -4177. Calculate the smallest common multiple of s and 1269.
1269
Suppose -11*m - m = -24. Suppose -m*j - 2 = -8. Suppose -4*r = 4*i - 24, 2*r + 31 + 2 = j*i. Calculate the smallest common multiple of i and 6.
18
Let j be 2 - 5/60*-425. Let c = j - 30. Calculate the common denominator of 41/48 and c.
48
Let i be 1541/115 + (-8)/(-5) + -1. Suppose -14 + 0 = i*b. Find the common denominator of -40 and b*2*(325/55)/(-5).
11
Suppose -4*y + 32 = 4*o, -o + 6 + 2 = 2*y. What is the lowest common multiple of o and 56?
56
Let d = 11 - 14. What is the common denominator of -99/16 and 73/8 + -1 + 5 + d?
16
Find the common denominator of (-1)/120*-278 - (-24)/(-32) and 11/12.
60
Suppose 0 = 10*i - 7559 + 7529. Calculate the least common multiple of i and 30.
30
Let v = 17902 - 4278572/239. Find the common denominator of 83/34 and v.
8126
Let q = 757/7 + -115. Let p = -2009 + 6098/3. Calculate the common denominator of q and p.
21
Let i = -343 - -328. Let s(z) = -12*z - 147. What is the smallest common multiple of s(i) and 21?
231
Let w = 30 - 28. Let d be 1*w + (4153287/42)/17. Let y = d + -5823. Calculate the common denominator of -137/12 and y.
84
Suppose 4*n + 3*p = -498, 530 = -5*n + 3*p - 106. Let m = n - -51. Let f = m - -193. What is the least common multiple of f and 4?
236
Let h(j) = 3*j + 36. Let r be h(5). What is the least common multiple of 8 and -1*1/(-3)*r?
136
Suppose -4*f - m = 0, 0 = -30*f + 26*f + 3*m + 16. Suppose -r - f = -5*q, -12 = -4*q - 4. Calculate the least common multiple of 18 and r.
18
Let z = 260 - 225. Let d = 187 - z. Calculate the smallest common multiple of d and 14.
1064
Suppose 0 = -2*p - 3*z - 8, 10*p - 5*p + 5*z = -10. Suppose 4*j + p*x = 12, j = -0*j - 5*x + 21. Calculate the smallest common multiple of j and 8.
8
Let f(t) = -5*t - 1. Suppose a - 6 = 3*a. Calculate the smallest common multiple of f(-2) and 42*(a/4)/((-45)/20).
126
Let j(r) = 2*r**2 + 6*r + 1. Let m(f) = -3*f**2 - 5*f + 5. Let d be m(1). Let p be j(d). What is the least common multiple of 20 and p*(-4 + -2)*-3?
180
Let g(d) = -8*d**2 + 3*d + 67. Suppose -4*x + 5*u = -39, -66 = -3*x - 3*u - 3. Calculate the smallest common multiple of g(3) and x.
16
Suppose 0 = -234*x + 254*x - 120. What is the lowest common multiple of x and 179?
1074
Let r(b) = b**2 + 4*b - 14. Let a be r(10). Calculate the common denominator of 955/a + (-3)/(27/2) and 3*(-4)/(-48) + -9.
28
Suppose 79 + 231 + 302 = k. What is the lowest common multiple of k and 96?
4896
Let u be 6/((-1154016)/472762)*-1. Let m = -4/12021 - u. Let v = -32843/360 - -464/5. Find the common denominator of v and m.
72
Suppose -w + 134 = -u, 0 = -w + 2*u + 148 - 18. Suppose -8*f + w = -22. What is the lowest common multiple of f and 55?
220
Let g be (-11)/9 + 3 - 4/(-18). What is the common denominator of 1327/(-840) - g/(-15) and 23/4?
56
Let d = -93 + 169. What is the least common multiple of 24 and d?
456
Let j = 263 - 252. Suppose -885 = -4*n - j*n. What is the least common multiple of n and 11?