et b = 4035 - 129201/32. What is the common denominator of b and -71/260?
2080
Let t(i) = -189*i + 3. Suppose -4*b = -18 + 10. Let w be t(b). What is the common denominator of ((-7)/6*-2)/(50/w) and 69/4?
4
What is the common denominator of ((-4191)/(-4257) + -1)*249/8 and 149/12?
516
Let o = -4973/73 + 287330/4161. Let j = -16973/4506 - -1/11265. Find the common denominator of o and j.
570
What is the smallest common multiple of 48 and (75/(-2))/(24/(-16))?
1200
Let j be 6/12 + 7/(-14). Suppose -5*r + 15 = j, -4*z - 2*r = -7 - 47. Calculate the least common multiple of 36 and z.
36
Suppose 4*t = 2*o - 72, 0 = 4*o - 9*o + 5*t + 160. Let i(q) = -3*q + 2*q - 2*q + q + q**2 + 3. Calculate the lowest common multiple of o and i(3).
84
Let h = 59761/46773 + 1/10394. What is the common denominator of h and -113/98?
882
Suppose 0 = 105*w - 111*w + 216. Calculate the common denominator of (1*54)/(3552/w) and -23/40.
1480
Let i be 1/(1/19) + 3*1. Suppose 4 - i = -2*c. What is the common denominator of c/6 + (-605)/80 and 95/22?
176
Let f = -117 - -369. What is the least common multiple of 20 and f?
1260
Let r = 3175881400745233/29960 + -106004052083. Let k = r - 1/5992. Calculate the common denominator of (-604)/350 + 4/14 and k.
50
Suppose 16 - 30 = 7*n. What is the least common multiple of ((-100)/150)/(n/33) and 74?
814
Find the common denominator of -37/1780 and (((-12)/(-3))/(-24))/((123888/504)/(-29)).
1780
Suppose 3 = -t - 5. What is the common denominator of -1 + 11/9 + 175260/4968 and 11 + -1 + (-6)/t?
4
Suppose 15 - 35 = -4*y. Suppose -5*a = 4*c - 128, -y*c + a = -4*a - 160. Calculate the lowest common multiple of c and 14.
224
Let z(b) = b**3 - 6*b**2 - 14*b - 13. Let s(m) = -74*m - 7. Calculate the lowest common multiple of z(8) and s(-2).
141
Let v = -8 - -12. Suppose k - q - 2*q = -5, v*q = -4*k + 28. What is the smallest common multiple of 1/k + (-614)/(-8) + -5 and 18?
72
Suppose 4*h - 4*p = 36496, 5*h - 10537 = p + 35063. Let q = 218779/24 - h. What is the common denominator of 73/28 and q?
168
Suppose 0 = r - 2*r - 2. What is the least common multiple of 12 and 8*(-1)/r - (-59 - 1)?
192
Let o = 3/875 - -757/24000. Calculate the common denominator of o and -185/924.
14784
Let w(p) = -2*p + 9. Let n(h) = -h. Let c(f) = -3*n(f) + w(f). Let d(v) = v**2 + 3*v + 6. What is the smallest common multiple of c(-3) and d(-6)?
24
Let c(y) = 2*y**3 - y**2 - 52*y + 336. What is the lowest common multiple of 1456 and c(0)?
4368
Let t = 597597 - 516323747/864. What is the common denominator of 125/186 and t?
26784
Let l(v) = 56*v - 3860. Let g = -3 + 1. What is the lowest common multiple of (g/5)/((-3)/60) and l(69)?
8
Let d = 1880 + -1879. Calculate the lowest common multiple of d and 433.
433
Let a(l) = 26*l + 5. Let f = 76391 - 76346. What is the least common multiple of f and a(5)?
135
Let m(s) be the first derivative of s**3/3 - 3*s**2 - 16*s + 32. Let z be m(8). Suppose 0 = -z*k + k - 22. What is the least common multiple of k and 26?
286
Let u = 31 + -20. Suppose u*n + 60 = 7*n. Calculate the common denominator of -95/4 and 84/(-140) - (-31)/n.
12
What is the common denominator of 51/671 and (-235*(-7)/385)/40?
26840
Let p = -3081 + 49285/16. Find the common denominator of -119/576 and p.
576
Let k = 20512 + -20482. Calculate the lowest common multiple of 237 and k.
2370
Let k(t) = t + 104. Suppose 2*s - 3*f = 3*s + 8, -4*s - 2*f - 52 = 0. What is the smallest common multiple of 54 and k(s)?
270
What is the smallest common multiple of (-10573370)/(-8300) - ((-11)/10 - -1) and 8?
5096
Suppose 24 + 45 = x. Let v(a) = 927*a + 31521. What is the lowest common multiple of v(-34) and x?
69
Let c(n) be the third derivative of 2*n**5/15 - 5*n**4/12 - 11*n**3/3 - 12*n**2 - 6*n. Calculate the smallest common multiple of c(-2) and 60.
60
Let a = -32/12673197 - 94799640295/38678597244. Let i = -19/327 - a. Let r = 51/5 - 973/90. Calculate the common denominator of i and r.
252
Suppose 51 = -v + 3*c, 252 = -4*v - 33*c + 29*c. Let s = v + 72. Calculate the lowest common multiple of 48 and s.
48
Let b(y) = 10*y + 93. Let s = 76 + -82. Let z(v) = 5*v + 46. Let c(i) = s*b(i) + 13*z(i). Calculate the smallest common multiple of 7 and c(-6).
70
Let b be (1 + 0)*16/(-1552). Let u = -2039/194 - b. Let g = 2134 - 4169/2. Find the common denominator of g and u.
2
What is the common denominator of -89/1200 and ((-657)/32120)/(3/29)?
13200
Let i = -1916 + 2152. What is the lowest common multiple of i and 22?
2596
Find the common denominator of -4 + (7 + (-5758)/822)*-2063 + -6 and 95/1096.
3288
What is the smallest common multiple of 814 and (-18)/(38/(-152)*4/6*9)?
4884
Let u = 32424 - 1167347/36. Find the common denominator of u and 119/18.
36
Let w be 32975694/(-2210) - 26/221. Let t = -14922 - w. What is the common denominator of t and 37/11?
715
Let t(k) = -2*k**2 - 15*k - 3. Let n be t(-7). Suppose -3*a = -n*g + 87, 4*g - 4*a - 84 = -0. Calculate the smallest common multiple of 44 and g.
264
Let r be ((-2952552)/(-18))/(1/(-141)). Let w = 531851451/23 + r. Let f = -4349 - w. Calculate the common denominator of f and 18/11.
253
Let r = -80 - -75. Let t = 54933/14 - 3922. Calculate the common denominator of t and 2/r + 4444/1210.
154
Let p = 125 - -62. Suppose 0 = 12*w - 53 - p. Calculate the least common multiple of w and 128.
640
Suppose 0 = u + 5*f - 14, 4*u = f - 3*f + 56. Let n(v) = 78*v**2 + 3. Let g be n(2). Suppose 33 = 29*q - g. What is the least common multiple of u and q?
84
What is the smallest common multiple of 1632684/840 + (-2)/20 - 3/(-7) and 54?
1944
What is the common denominator of 21 + (70329/(-1848) - -17) and 73/1240?
13640
Let b = 23 - 24. Calculate the smallest common multiple of 6 and 1 - ((1 - b) + (-36)/2).
102
Suppose o = -14*o - 555. Let t = o + 102. What is the least common multiple of 5 and t?
65
Suppose -12*c + 8*c + 4*m = -668, 2*m + 163 = c. Suppose -15*t + 249 = -c. What is the least common multiple of t and 56?
56
Suppose 0 = 47*i + 61*i - 5583 - 897. Calculate the smallest common multiple of i and 390.
780
Let v(o) = -7*o - o**2 + 22 + 0 - 8. Let m be v(-9). What is the least common multiple of (m/(-6))/(2/3) and 4?
4
Let x be (-18)/63*7 - 511/8. Let q = x + 17543/264. Find the common denominator of q and (154/9)/((-40)/6).
330
Suppose -8*j + 340 = 26*j. Let z = 6 - -79. Calculate the least common multiple of z and j.
170
Let q = -1195983 - -975921979/816. What is the common denominator of -7/1360 and q?
4080
Let u be (-1)/(-12)*(-2 - 124025695/145). Let p = 71280 + u. Calculate the common denominator of 133/6 and p.
348
Calculate the common denominator of 19/21 and 8902/(-3305)*(-840)/(-756) + (-2 - -5).
41643
Let i = 1023/467 - 2112331/10274. Let y = 407/2 + i. Calculate the common denominator of y and (-28)/(-9) - (-2)/(-4).
198
Suppose 280*m - 64 = 278*m. What is the least common multiple of m and (-1)/3 + (-73)/(-3)?
96
Suppose -2*c - 1005 = -5*y, 0 = -3*y + 2*c + 635 - 28. Suppose 10*q - 131 = y. What is the smallest common multiple of 88 and q?
264
Let m(d) = -26*d - 179. Let w be m(-7). Suppose 2*o = -6*r + r + 105, w*o = 0. Calculate the smallest common multiple of 120 and r.
840
Let g = 5425 + -54137/10. Find the common denominator of -21/526 and g.
2630
Let q(s) = 28*s + 282. Let b be q(-10). Suppose -2*z + 5*g = b*z - 637, -5*g - 790 = -5*z. Calculate the lowest common multiple of z and 6.
306
Suppose -5*u + 5*r + 5595770 = -u, 4*r + 4196827 = 3*u. Let d = u - 8424881/6. Let z = 5214 + d. What is the common denominator of z and -45/4?
12
Let r = -57/65 + 5231/3445. Let a = 367/2 + -161. Find the common denominator of a and r.
106
Let m = 29883 - 418459/14. Let n = -3 + 3. What is the common denominator of n/2 + (-154)/(-96) and m?
336
Let f be (3081/(-25))/((-8096)/660). Let g = -205737/1394536 + 6/7579. Let t = f + g. Find the common denominator of t and 113/6.
30
Let r be 23/(-3) + ((-36)/27)/(-2). Calculate the lowest common multiple of 162*(r/(-2) + -3) and 117.
1053
Let f = -18314/3895 - -3/1558. Suppose 2*u + 2*q - 1032 = 0, -59*q - 1026 = -2*u - 64*q. Calculate the common denominator of -10 - ((-8757)/u + 7) and f.
370
Suppose -2*l = -4*l - 94. Let j = -2 - -70. Let q = j + l. Calculate the lowest common