8 - 14788. Let c be (-2)/(-25) - 172139920/24000. Let a = z + c. Find the common denominator of a and -85/18.
36
Let s = -250 + 251. Let y(f) = 19*f**3 - 2*f**2 + 5*f - 4. Calculate the least common multiple of 82 and y(s).
738
Calculate the least common multiple of (((-9504)/220)/6)/((-1)/((-40)/(-6))) and 288.
288
Find the common denominator of ((-111)/9 - 0)/((-224640)/(-648)) and 49/86.
44720
Let l(p) = -33*p + 24. Let g be l(10). Let c be (4/(-6))/((-6)/g). What is the least common multiple of (-56)/10*85/c and 8?
56
Let i be 6384/22 - 22/121. Suppose 6*l + 1096 = -i. What is the common denominator of l/(-49)*(-21)/30 and 67/2?
10
Suppose 978 = 131*p - 2166. Calculate the least common multiple of p and 42.
168
Suppose -5*u + 35 = 0, 15 = c - 273*u + 274*u. What is the common denominator of c and -73/2372?
2372
Let h(u) = 0*u - 2*u**2 + 2*u + 8*u - 12 + u**2. Let r be h(8). What is the common denominator of ((-45)/4 - r)/((-18)/(-8)) and 7/2?
18
Let x be 31393138/(-1124) - 0/(6 - 3). Let g = -27930 - x. Calculate the common denominator of -87/2 and g.
562
What is the common denominator of -73/250 and -5 + (68/(-120) - (-13)/(-65))?
750
Let j be 5/35 + 27/7. Suppose -1 = j*m - 17. Calculate the common denominator of 31/16 and (-34)/20*3 + m.
80
Find the common denominator of 89/72 and ((-183541)/7830 - -23)*((-34)/24 + 1).
648
Let b = 8/217 + 451/5425. Let t = b + -1484/75. Let c = 53 + -23. What is the common denominator of c and t?
3
Let u = -13/2923 + 27368/2867463. What is the common denominator of u and -5/654?
1962
Let y(w) = w**3 + 31*w**2 - 32*w - 5. Let z be y(-32). Find the common denominator of 64/9 and (-37)/z + 80/200.
45
Suppose 19*m - 3557 = 29313. What is the least common multiple of 2422 and m?
12110
Let b = -338 + 280. What is the common denominator of -77 + 78 + b/(-64) and -73/20?
160
Let n = 245473/18 + -13631. Let b = 11/1227 - -6113/2454. Calculate the common denominator of n and b.
18
Let a be ((-2)/81)/((-51180188)/(-5118018) - 10). Let i = -15794 - a. Calculate the common denominator of -1/18 and i.
54
Suppose -273*y - 145 = -d - 272*y, -5*d + 689 = 4*y. Calculate the smallest common multiple of d and 18.
846
Let k(r) = r**3 + 3*r**2 + 11*r + 65. Let m be k(-5). Find the common denominator of (13/2)/13*(-284)/m and 55/4.
20
Let r(f) = f**3 + 3*f**2 - f - 1. Let l(a) = a**3 + 3*a**2 - a. Let t(h) = 4*l(h) - 5*r(h). Let j = 468 + -7958/17. Find the common denominator of t(-5) and j.
17
Let l(t) = 13*t**2 - 20*t + 4. Suppose -2*g - 18 = -4*g. Let s = g - 6. Calculate the least common multiple of l(2) and s.
48
Let i(f) be the third derivative of f**4/6 + 16*f**3/3 + 63*f**2. What is the lowest common multiple of 21 and i(-5)?
84
Suppose -7*a - 5 = -8*a, -2*o - 5*a = -49. Calculate the common denominator of 74/3 and 17/o - 17/(-17).
12
Let p = 12 + -24. Let s = 12 + p. Suppose 0*t - 7*t + 105 = s. What is the smallest common multiple of 33 and t?
165
Suppose 0 = -a - 8 + 4, -4*a = -5*q - 144. What is the least common multiple of (-122)/(-42) - q/336 and 4?
12
Let d = -84385109/66 - -1278185. Let i = d + 4140/11. Find the common denominator of i and 18/77.
462
Suppose -2*y = -2, -2*h = -5*h + 4*y - 22672. Let t = h - -294731/39. What is the common denominator of 2580/165 - -2 - 13 and t?
429
Let b = 97300837/100 + -972995. Let j = b + 72/25. Find the common denominator of j and -53/54.
108
Let s be (2 - 30/12)*-36. What is the smallest common multiple of 80 and ((-20)/(-6))/(3/s)?
80
Let c = -25663/21 - -3671/3. What is the common denominator of c and ((-41)/42 - -1)/((-5)/(-380))?
21
Suppose -9562 = 3*b - 10444. What is the smallest common multiple of 441 and b?
882
Let o = -9632/3 - -3659839/1140. What is the common denominator of o and 47/30?
1140
Suppose -3*g - 2*g - 337 = -857. What is the least common multiple of g and 871?
6968
Let k be (3*6)/(3/(-6)). Calculate the smallest common multiple of 2 and -6*6/k - -17.
18
Let o(u) = u**3 + 22*u**2 - 2*u - 46. Let a be o(-22). Find the common denominator of 3/2 - 88/a and 65/138.
138
Let k(o) = -22*o**3 + o**2 + 2*o + 1. What is the lowest common multiple of ((-8)/44)/(-8*(-6)/(-1584)) and k(-1)?
66
Let n = 2414307/814 - 2966. Calculate the common denominator of 43/26 and n.
10582
What is the least common multiple of (-2212)/948*(-60)/14 and 1622?
8110
Let y(c) = 452*c**2 - 5*c - 5. Let j be y(-1). Let r = j + -10. What is the common denominator of 39/16 and (-13)/(-5) + -3 + r/(-20)?
16
Let o be (3/2)/((-33)/(-88)). Suppose -o*l - 2*h + 0*h = -86, -3*l = 2*h - 62. Calculate the lowest common multiple of l and 3/12*34 - 1/2.
24
Let u = -744042/35 + 21256. Let z = -8423/14 + 605. Let q = z - u. Find the common denominator of 75/8 and q.
40
Suppose 0 = -2*h + 5*w + 1, 11 = -4*h - 3*w + 52. What is the least common multiple of 172 and h?
344
Suppose -j - 4*r + 10 + 25 = 0, -4*j - 4*r + 140 = 0. Suppose -1259 - 1366 = -20*q - 55*q. What is the least common multiple of q and j?
35
Let f = 4973 - 8412. Let i = -41215/12 - f. Calculate the common denominator of -73/20 and i.
60
Let q = -8461/8 - -211913/200. Find the common denominator of q and 232/4060 + 63/45.
350
Suppose -28 = -3*b + a, 0 = -4*b + 5*a - 4*a + 39. Suppose -20*o + b*o + 477 = 0. Calculate the lowest common multiple of o and 3.
159
What is the lowest common multiple of ((-27)/(1890/(-100)))/(-2*3/(-1050)) and 1?
250
Let a(l) = -4*l**3 - 7*l**2 - 14*l - 7. Let i be a(-7). What is the lowest common multiple of ((-18)/8)/((-105)/i) and 16?
48
Let c = -109316/63 - -1734. Let a = 1995423/56 + -35634. Find the common denominator of a and c.
504
Let l = 133219/18 + -7406. Find the common denominator of l and -22/27.
54
Let l = 18495 - 15505. Calculate the lowest common multiple of 110 and l.
32890
Let m(j) = j**3 - 4*j**2 - 6*j - 13. Let d(l) = -l**2 - 1. Let r(h) = -4*d(h) - m(h). Let v be r(9). Calculate the common denominator of 6 and 2/55*212/(-32)*v.
22
Calculate the common denominator of 1639/(-11)*(-4)/(-120) and -107/24.
120
Let b(u) = -8*u + 9. Suppose 2*p + 3*t - 4 = 0, 2*p + 2*t = -3*t + 4. Let m be b(p). Calculate the lowest common multiple of 3 and (2 - -3)/(m + 8).
15
Calculate the common denominator of (1692/162)/((-3128)/(-69)) and 47/2958.
5916
Let p = 2497/5 - 7567/15. Suppose -90 = -4*r + 7*r. What is the common denominator of (-16)/r + 7/21 and p?
15
What is the common denominator of (1133/660)/(56/(-20)) and -59/140?
840
Suppose 0 = 2*b - 3*k, b - 6*k + 2*k + 10 = 0. Calculate the least common multiple of b and 54.
54
Suppose 5*b + 4*y = -0*y + 65, -21 = -4*b + 3*y. Let n(x) = -2*x**3 + 17*x**2 + 10*x - 3. Calculate the lowest common multiple of 10 and n(b).
30
Suppose 60 - 235 = -35*s. What is the smallest common multiple of s/8 - (6 + 357/(-56)) and 29?
29
Suppose -b - 76 = 4*b + 4*f, 5*b = 3*f - 83. Let z = 21000 + -20994. Calculate the least common multiple of b/(-6)*6/2 and z.
24
Suppose -59*n = -91 - 321 - 1. What is the lowest common multiple of n and 841?
5887
Find the common denominator of (-252)/30*(-3)/24 and (17/108)/(1 - (-8)/(-6)).
180
Let d = 76 - 65. What is the least common multiple of d and (-1)/9 - 2525/(-45)?
616
What is the common denominator of ((-153)/34)/(141/(-4)) and (-1 + 2)/(7/(-47)) - 1?
329
Suppose 207 = 18*l + 99. Suppose 6*a - 2*a - 12 = 0. Suppose -8*i + 80 = -a*i. Calculate the smallest common multiple of l and i.
48
Let w be (-31059)/(-780) + 135/(-15). Let f = 154/5 - w. Find the common denominator of -39/8 and f.
104
Suppose 134*t - 143*t + 1944 = 0. Let m = 10641 + -127789/12. Calculate the common denominator of m and (-92)/54 - (-72)/t.
108
Let h be 5/1080*11375/63. Let p = 185/243 + h. Calculate the common denominator of p and 64/9.
72
What is the smallest common multiple of 6916 - (-17 - (26 - 56)) and 3835?
34515
Let h be (-98757)/1026*3/(-205). Let q = h - 46/205. What is the common denominator of q and -19/44?
836
Let w = 15068 - 30067/2. What is the common denominator of 61/3216 and w?
3216
Let i = -5 + 41. Let t(w) = 35*w**2 - 2029*w - 46. Calculate the smallest common multiple of t(58) and i.
36
Let m(z) = z**3 + 9*z**2 - 5*z - 14. Let y be m(-8). Suppose 8*d - 13*d + y = 0. Suppose -55*k = -57*k + 44. What is the least common multiple of d and 