j) = 4 - 5*j + j + 3*j. Let h be z(6). Find the common denominator of ((-65)/(-312))/(h/14) and -81/16.
48
Let y(w) = 3 + 9 + w**3 - 10*w - 10*w**2 + 10*w. What is the lowest common multiple of 8 and y(10)?
24
Let j(s) = 27*s - 17. Let r be j(8). Let z = r + -1207/6. Calculate the common denominator of z and -43/30.
30
Let c be 45*(-3)/6*-4. What is the lowest common multiple of (-2)/(-7) - 75/(-7) and c/20 + 1/2?
55
Suppose 2862 = -11*u + 684. Let n = -155/2 + 72. What is the common denominator of -2 + 3/(u/(-327)) and n?
22
Let n = -27007/390 + 970/13. Calculate the common denominator of n and 79/50.
150
Calculate the common denominator of -123/80 and (((-540)/(-16))/45)/((-105)/71).
560
Let n = -12381/5 - -595013/240. Calculate the common denominator of 107/36 and n.
144
Let o = -55 - -23. Let b = o + 33. What is the lowest common multiple of b and 12*(3 + (-21)/9)?
8
Find the common denominator of 55/32 and 178/400*-3*(-16)/24.
800
Let j(q) = q - 2. Let a be j(6). Suppose 7 = 2*d + 3*t - 59, -a*t = 3*d - 98. Calculate the common denominator of (-20)/d*234/80 and -35/8.
40
Let i = -5362087/16 + 335009. Let g = i - -125. Find the common denominator of g and 5/20 - (-515)/(-100).
80
Let v(i) = -2*i - 10. Let c(b) = b**3 - b**2 - 15. Let o be c(0). What is the smallest common multiple of v(o) and 16?
80
Suppose 5*s - 5 = 0, -2*m - 324077 = -2*s + 25897. Let c be 4/2 + m/(-3932). Let l = 3/983 - c. Calculate the common denominator of 37/2 and l.
2
Let i = -10 - -26. Let p = 6 - i. Let g = 15 + p. Calculate the smallest common multiple of 7 and g.
35
Suppose -2*j - 3*h + 28 = h, 3*j - 33 = -3*h. Calculate the lowest common multiple of j and 85.
680
Let z be 0 + 3 + 53033708/(-17677902). Let y = z + 1552022567153/123745314. Let w = -12537 + y. What is the common denominator of 85/6 and w?
42
Calculate the common denominator of (190/14)/((-114)/133) and 20/139.
834
Let b = 131/1716 + -8/429. Let d = b + 1759/156. Let u = 142/15 - -43/15. Find the common denominator of u and d.
3
Let d = -76 - -67. Let b = -6 - d. Calculate the lowest common multiple of 21 and b.
21
Let w be (-17604)/(-144)*5*1/(-6). Let a = -509/5 - w. Find the common denominator of 29/32 and a.
160
Suppose -6*o = -3*o - 6. What is the lowest common multiple of 23 + (-12)/(-20)*-5 and o?
20
Let n = -116 + 358. Let q = -246 - n. What is the common denominator of 61/8 and (-3)/(-15) - q/(-140)?
56
Let q = -45 + 47. Find the common denominator of (-6)/4 + ((-16)/3 - q) and -43/6.
6
Let h(u) = u**2 - 5*u + 36. What is the smallest common multiple of h(5) and 18?
36
Suppose -1672 = -3*a + 4*n, 5*a + 5*n = -0*a + 2740. What is the common denominator of a/153 + -4*(-3)/(-18) and 113/6?
102
Let d(v) = v**2 - 6*v + 2. Let j be d(6). What is the common denominator of ((-2)/(-14))/(j/(-47)) and 2/5 + 346/(-40)?
28
Suppose 94 = 5*u - 26. Let h(v) = v**3 + 13*v**2 + 10*v - 6. Let r be h(-12). Let s = u - r. What is the smallest common multiple of 7 and s?
42
Calculate the common denominator of (-126)/(-20) + 2/5 and 1 - -508*6/(-864).
180
Let y(l) = l**3 + 9*l**2 - 2*l - 4. Let c(h) = -h**2 + h + 3. Suppose -k + 0*k - 3 = 0. Let p be c(k). Calculate the smallest common multiple of 10 and y(p).
70
Let j(v) = v**2 + 13*v - 12. Calculate the smallest common multiple of j(-14) and 6*(2 + (-4)/6).
8
Suppose 7*d = 814 + 194. Calculate the lowest common multiple of d and 128.
1152
Let k = -44 - -43. Let s = 26 + -38. Calculate the common denominator of (-3)/s + k/2 and -7/11.
44
Suppose -50 = -3*d - 8. Suppose 5*y = -2*y + d. What is the least common multiple of -3 + 4 + 13 + y and 14?
112
Suppose -5*j - 10*d = -8*d - 396, -5*d - 410 = -5*j. Calculate the smallest common multiple of 384 and j.
1920
Suppose 1302 + 4800 = 6*j. Let b = j - 11202/11. Find the common denominator of -3*1/((-6)/(-79)) and b.
22
Let j be 16/(-56) + 250/(-7). What is the common denominator of (-45)/j*(-219)/60 and -87/52?
208
Let b(r) = -3*r**2 - 19*r + 26. What is the least common multiple of 6 and b(-7)?
12
Suppose -64588 = 3*j - 7*j. Let t = -290723/18 + j. Calculate the common denominator of t and 6/21 + 1090/252.
18
Suppose 58*n - 84*n + 5070 = 0. Calculate the lowest common multiple of n and 117.
585
Let y(s) = s**3 + 6*s**2 - 11*s - 4. Let p be y(-7). Suppose 2*o + 0*o = p. What is the least common multiple of o and 24?
24
Let g be (-20917)/(-18) - (-4)/6. Let o = -1163 + g. Find the common denominator of 691/(-154) + 22/(-77) and o.
198
Let j(h) = h**2 + 5*h - 4. Let p be j(-6). Suppose -p*u + 4 = -14. Let a = 17 - u. Calculate the lowest common multiple of a and 6.
24
Calculate the least common multiple of 18 and (-35)/(-4) + (-18)/(-72) - 2.
126
Suppose 5*q - 3*i - 115 = 0, q - 17 - 13 = 2*i. Suppose 2*t + 5*p = 16, -2*p + 5*p - 3 = t. Suppose s + t*s = 72. What is the least common multiple of s and q?
180
Let x(n) = -347*n**3 - n**2 - n - 1. Let i be x(-1). What is the common denominator of 1 + 5 + -3 + i/(-128) and 119/6?
192
Suppose 35*a - 30*a = -3*y + 300, 3*a - 180 = 3*y. What is the lowest common multiple of 21 and a?
420
Let r(v) = -v**3 + 16*v**2 + 13*v - 19. Let t be r(16). What is the common denominator of 1/8*2/((-24)/t) and -29/16?
32
Calculate the common denominator of (-25)/(-75)*1*(-23)/(-15) and -149/66.
990
Let p = 3/1036 - -43497/5180. Let l(m) = 15*m + 4. Let u be l(4). Suppose r - u + 18 = 0. What is the common denominator of r and p?
5
Let t(r) = r**2 + r + 2. Let l be t(-1). Suppose -4 = -l*c + s, 0 = -7*c + 4*c - s + 11. Find the common denominator of -46 and (-3311)/(-66) - 2/c.
2
Let j be (-12)/(-80)*(-5)/((-15)/(-133618)). Let k = -6669 - j. Find the common denominator of -3/4 and k.
20
Calculate the common denominator of -3 + 6 - 3 - 158/232 and -31/10.
580
Let q be 4 + 0 + -1 + 3 + 0. What is the smallest common multiple of ((-351)/52)/(q/(-16)) and 254?
2286
Let o = 586 - 576. Let r(q) be the third derivative of -q**6/120 + 3*q**5/20 + q**4/2 - 2*q**2. Calculate the least common multiple of r(o) and 22.
220
Let v = 10978 + -1558863/142. Let o = v + -3166/71. What is the common denominator of 3/22 and o?
22
Calculate the common denominator of -21/8 and (-847)/(-196) - (-6 - -9).
56
Let q(n) = 141*n + 9. Let i be q(8). Let v = i - 15905/14. What is the common denominator of v and -83/10?
70
Let q = -317 + 2870/9. Find the common denominator of 14/17 and q.
153
Let g(q) = -2*q + 52. Calculate the least common multiple of g(21) and 120.
120
Let n = 229387/18 + -12752. Calculate the common denominator of (-109)/30 + 4 + -3 and n.
90
Let q = -249 + 259. What is the smallest common multiple of q and 84?
420
Let a = 66 + -60. Find the common denominator of a/(-8) - (-1096)/160 and -40/11.
110
Suppose 0 = p - 18 + 1. Let d(h) = 12*h**3 + h**2 + 2*h + 1. Let l be d(-1). Let b = l + p. What is the least common multiple of b and 5?
5
Let m(i) = i**2 - i - 6. Let a be m(4). What is the lowest common multiple of 4 and (-14)/(-4) - a/(-12)?
4
Let h = 5/3652 - 277687/98604. What is the common denominator of h and (0 - (1 + -1)) + (-7238)/(-5082)?
297
Let i be -9*4/(-12) + 5. Suppose 4*n + i*n - 60 = 0. What is the lowest common multiple of n and 3?
15
Let y be -1 - ((-206)/27 + 3). Let o = 49/27 + y. Find the common denominator of -27/2 and o.
18
Let l(q) = -10*q - 6. Let o be l(-2). Suppose -4*a - 114 = o. What is the common denominator of 262/3*(-1)/4 and a?
6
Let p = 119/2 + -1283/22. Calculate the common denominator of 33/8 and p.
88
Suppose 0 = 3*j - 88 - 62. Calculate the common denominator of -79/6 and (18/(-10) + 2)*(-410)/j.
150
What is the common denominator of (-8 - -6) + 10 + 1497/(-180) and -17/24?
120
Let q be 133/49*110/(-2). Let m = q + 149. Calculate the common denominator of m and 9/8.
56
Let d(h) = 12*h + 4. Let l be d(-5). Let s(o) = -14*o + 58. Let i be s(5). Find the common denominator of l/i*(-42)/(-40) and 35.
10
Let x = 63347/196420 - 7/1220. What is the common denominator of x and -38?
161
Let q(p) = -42*p - 3. Let f be q(-6). Calculate the common denominator of ((f/7)/3)/2 and (14/98)/((-6)/(-413)).
42
Let f(d) = 21*d - 39. Let u(b) = 4*b - 8. Let o(c) = -4*f(c) + 22*u(c). Let n be o(8). Suppose m + n = 3*m. What is the lowest common multiple of 10 and m?
30
Suppose 0 + 