-z = 3*z - 8. Find the common denominator of -1 + ((-62)/12)/(z/9) and 170/(-36) + 0/2.
36
Let q = 7172 + -7160. Let g(a) = -a**2 - 6*a + 2. Let h be g(-5). Let r = h - -3. What is the least common multiple of r and q?
60
Let v = -7800 + 7821. Calculate the least common multiple of v and 728.
2184
Suppose 151 + 1334 = -15*t. What is the common denominator of 27/52 and t/(-44)*(-100)/(-12)?
52
Let s = 2/3987 - 7237/2658. Find the common denominator of s and -121/234.
234
Calculate the lowest common multiple of (((-2432)/12)/(-19))/((-3)/(-279)) and 992.
992
Suppose 0 = -f - 5*s + 584, 1762 = 3*f - 0*s + 5*s. Let m = f + -8854/15. What is the common denominator of 83/40 and m?
120
Let h(u) = 6*u - 108. Let l be h(19). Suppose 0 = l*i + 6*i + 132. What is the common denominator of i and (-1)/3 - (-4)/(-5)?
15
Suppose 17*r - 181083 = 743819. Let p = r - 9684239/178. Calculate the common denominator of p and 123/10.
890
Suppose -604*i + 180 = -598*i. What is the smallest common multiple of 780 and i?
780
Suppose -148 = 3*o + 3*r - 1882, -5*o + 5*r + 2920 = 0. What is the lowest common multiple of 238 and o?
19754
Let c be (84/(-1))/(-6) - 9. Calculate the common denominator of 121/12 and c/30*(-5)/((-2380)/396).
1428
Suppose 5*p - 32 - 98 = 0. Let s be (-1)/(6/(-3))*-102. Let t = s + p. Calculate the common denominator of t and 93/8.
8
Let o(y) = -67*y**3 + 2*y**2 - 2*y + 1. Let s be o(1). Calculate the least common multiple of 29 and 1 - (5 + -1 - s/(-11)).
87
Let h = 36091/23400 - 2/2925. Calculate the common denominator of h and -21/2.
24
Let o be 3*(7 + -6) - 8. Calculate the least common multiple of o/20 - 705/(-20) and 25.
175
What is the smallest common multiple of 1038 and (-1)/(((-30)/(-15))/(-68))?
17646
Let p = 15577/110 - 1506/11. Let g(n) = 7*n - 1. Let i be g(1). Calculate the common denominator of ((-303)/i)/(2 - 1) and p.
10
What is the least common multiple of (-4)/(-14) + (-48 - (-373474)/161) and 710?
11360
Suppose -5*p + 3*g - 8*g = 58525, 0 = 5*p - 4*g + 58552. Let o = p + 515057/44. What is the common denominator of -58*(87/(-48) + 2) and o?
88
Calculate the common denominator of 59/390 and (906/80)/(705/(-20) - -33).
390
Suppose -4*o + 2*h + 74 = 0, -5*o = -3*h - 43 - 50. Suppose 15*v = o*v - 36. What is the least common multiple of 1 and v?
12
Suppose 60*c - 31*c = 261. What is the lowest common multiple of 66 and (0 - 33)/(1 + (-12)/c)?
198
Let i = -572 - -342. What is the common denominator of (928/(-4640))/((2/(-18))/((-15)/(-72))) and 6/(-27) + i/(-36)?
24
Let i be (-15)/2*(-20)/25. Let w = 24 + i. Suppose -14 + w = 2*s. What is the least common multiple of 11 and s?
88
Calculate the smallest common multiple of 312 and (49 + 16)*-3*(-2 - 0).
1560
Let l = 812 - 816. Let i(o) = -4*o + 2*o**2 + o**3 - 2 + 2*o**2 - 4. Calculate the smallest common multiple of 20 and i(l).
20
Let r = -10288 - -8991713/874. Let i = r - -46753/5244. Calculate the common denominator of 63/104 and i.
312
Suppose g - 3871 = -6*g. Suppose 8*c - g = c. Let d = c + -43. Calculate the smallest common multiple of d and 27.
108
Let l(d) = -d - 4. Let b be l(0). Calculate the lowest common multiple of 3 - 0 - 4 - (-9)/3 and (-7)/b - 18/24.
2
Suppose -21*t + 32*t = 44. Suppose 2*d + 86 = 2*v, -5*v + t*d + 303 = 89. Calculate the least common multiple of v and 54.
378
Let b(i) = -2*i**2 + i + 17. Let m be (-2 - (-3 - -2))*-3. Calculate the least common multiple of b(m) and 348.
348
Let m = 8588275/354 - 24261. Calculate the common denominator of -17/1770 and m.
1770
Let i = -718 + 978. Calculate the common denominator of (246/(-16))/(-3) + 1 and 6/(-3) + i/143.
88
Calculate the common denominator of (-19)/((-6916)/(-5135)) - -17 and 109/2132.
14924
Let m(l) = -l**3 + 6*l**2 - 4*l + 5. Suppose 0 = -259*b + 236*b + 46. Calculate the least common multiple of m(5) and -6 + b + (2 - -7).
10
Let o = 123 + -88. Let l = o + -33. Let n = 50 - 41. Calculate the least common multiple of n and l.
18
Suppose 0 = -3*q + 4 + 17. Suppose 21 = 5*m + 4*z, z + q = 2*m + 4*z. Suppose -m*l + 5 = -5. What is the smallest common multiple of 20 and l?
20
Let i be (-2)/(-1)*(-39)/6. Calculate the common denominator of -55/24 and 5 + (-197)/(-36) + i/(-117).
24
Let q = -80413/15 + 5359. What is the common denominator of 76/135 and q?
135
What is the smallest common multiple of 1335 and (-8)/(-18) + 18403/2151?
4005
Let d(k) = 7*k**3 + 388*k**2 + 105*k - 62. What is the lowest common multiple of 5 and d(-55)?
16190
Suppose -6*c + 100 = -c. Let z = -763 + 1302. Let i = 543 - z. What is the least common multiple of i and c?
20
Let s be 1 + (-24)/10 + (-113321)/(-65). What is the lowest common multiple of 1/4 + (-158)/(-8) and s/104 - (-1)/4 - 1?
80
Let j = -3357/688 + 39/8. Let s = 3953/688 - j. What is the common denominator of s and 101/108?
108
Let n = -393 + -343. Find the common denominator of -14 + 10 + n/(-150) and 43/33.
825
Let i = 5894/9 + -59297/90. Calculate the common denominator of i and 10/213.
2130
Suppose 12 = 5*q + 2*f - 20, 4*f = 2*q - 8. Suppose 2*m + 0 = -2*n + q, -2*n + 24 = 5*m. What is the lowest common multiple of 24 and m?
24
Calculate the common denominator of -151/18 and -3*((-14608)/(-12456))/(-11)*6/(-152).
59166
Let v be -1 - (2 - -1) - (-77159)/(-38). Let o = v + 2076. Find the common denominator of o and 6/7.
14
Suppose -33197 = -14*f + 171539. Calculate the smallest common multiple of f and 14.
102368
Suppose -13*x - 34*x = -3*x - 1100. What is the lowest common multiple of 9 and x?
225
Let o(f) = -3*f**2 + 43*f - 14. Let s be o(14). Suppose -y - 3 + 2 = s. Calculate the least common multiple of 11 and (21 + -3)*1*y/(-3).
66
Suppose 0 = -4*u + 63*u + 73*u - 1188. What is the lowest common multiple of 5238 and u?
5238
Suppose 4 = -3*k + 5*y + 35, -4*y - 24 = -2*k. Let x(z) = 312*z. Let u be x(-1). Find the common denominator of -19/20 and (-207)/u*2 - k.
260
Calculate the common denominator of 21/8 and (228/(-1824))/(-1*1023/450).
2728
Suppose 2*w - 238 = -5*f, 3*w - 20 + 215 = 4*f. What is the common denominator of f/(-28)*(-9)/(-16) and -34/77?
308
Suppose 0 = 3*m - 3*g + 19 + 5, 32 = -3*m - 5*g. Let b(x) = -x**2 - 5*x + 48. What is the lowest common multiple of b(m) and 24?
24
Find the common denominator of 149/6 and 68/(-44) + 1 + (-2126718)/(-3881680).
48120
Let f(c) = 7*c**2 + 9*c + 11. Let m be f(-3). Suppose 0 = m*b - 46*b - 8. Calculate the lowest common multiple of 12 and b.
24
Suppose -4*l = -9 + 1. Suppose -l*x = -4*x. Find the common denominator of 6/5 and (x - 7)*(5 - 1).
5
Let v = -32/21 + -1/7. Let h = -3294 - -2085. Let z = h - -4757/4. Find the common denominator of v and z.
12
Let r = -24395 - -24457. Calculate the least common multiple of r and 226.
7006
Suppose -5*f + 141478 = 248*f - 432326. Calculate the lowest common multiple of 315 and f.
11340
Let m = -144 + 162. What is the common denominator of 44/21 and (86/m)/((-24)/18)?
84
Let u = 103541/6596850 - 93/3383. Find the common denominator of u and 61/3900.
3900
Let w = -30731/443 - -51651653/770820. Let n = w - -211/60. Find the common denominator of -5/12 and n.
348
Suppose -15*s - 96 = -7*s. Let p(g) = g**3 + 11*g**2 - 16*g + 8. Calculate the lowest common multiple of 63 and p(s).
504
Let p(i) = 2*i**2 + 5*i - 2. Let z be p(8). Let s = z - 54. Suppose -5*h = -3*v - v - s, 0 = 2*h - 5*v - 38. Calculate the least common multiple of h and 8.
24
Let y be (-13)/91 + (-2 - 138/14). Let m(l) = -l + 33. Let b be m(y). Suppose 0 = 3*t - 15 - b. What is the lowest common multiple of 18 and t?
180
Let l = -35/8 - -103/40. Suppose 5*g = 28258 - 8138. Let v = 28219/7 - g. Calculate the common denominator of v and l.
35
Let o(u) = -378*u - 286. Let q be o(-10). Let j = 73324/21 - q. Let r = -93143/468 + 2592/13. What is the common denominator of r and j?
252
Let k = -14001/158326 - -57/526. What is the common denominator of k and 17?
301
Let d = 209 + -187. Suppose -t + 7*i = 9*i - 34, 0 = t - 4*i - d. What is the lowest common multiple of 24 and t?
120
Let z = -357 + 367. What is the common denominator of 7/z - (-20)/(-70) and 81/16?
560
Let q(w) = -391*w - 19. Let i be q(-5). Let x = 11641/6 - i. Find the common denominator of x and 35/104.
312
Suppose -2*u - 3*g + 35 = 0, -3*u + 5