Calculate the lowest common multiple of (f/12)/((-24)/(-128)) and 66.
132
Let y be 3 + ((-13878)/24 - -1). Let c = y + 11583/20. Let r = 15/14 + -39/7. Find the common denominator of r and c.
10
Suppose 4*n + 32*g = 37*g + 3, 5*n - 4*g - 6 = 0. Let z(d) = 4*d**2 + 27*d + 13. What is the smallest common multiple of z(-9) and n?
94
Let s(w) = w**2 - 53*w - 1684. Calculate the lowest common multiple of s(78) and 2812.
19684
Suppose 80*b + 99*b - 69810 = 0. Calculate the smallest common multiple of 260 and b.
780
What is the smallest common multiple of 882 and 1*(-7)/(-42) + 38/(-12) + 165?
7938
What is the common denominator of (-3 - -5) + -1 + 12 + (-90992)/7200 and 47/186?
13950
Calculate the common denominator of -64/1405 and (12 - 6) + 0 + 972/(-84).
9835
Suppose 4*i - 112 = -3*m + 17, 0 = -2*m + 3*i + 69. Suppose 50 = 5*v + 5*c, -4*v + 0*c + 19 = -3*c. Calculate the smallest common multiple of m and v.
273
Let r(h) = -h**2 - 7*h - 9. Let l be r(-13). Calculate the common denominator of 61/12 and l/29 + (-83)/(-24).
24
Let n = -1/74 + 39/148. Let o = 1159/168 + -1/42. What is the common denominator of n and o?
8
Suppose 4195 = -2*m - 5733. Let g = m - -29897/6. Let a = -7883/450 + 381/25. What is the common denominator of a and g?
18
Let w = -37559756/96069 + 12120/31. Calculate the common denominator of w and -44/3.
3099
Let o be 7/(-2 + -12) - 2974/(-2). Let x = 1440 - o. Find the common denominator of x and -83/18.
18
What is the common denominator of -101/456 and (20/(13 - 23))/((-1444)/11)?
8664
Suppose -72*z - 2*b - 814 = -79*z, -5*z + 5*b = -560. Suppose y - 18 = 3*h, -2*y - 3*y = h - 42. What is the least common multiple of y and z?
1062
Suppose 3*r + 2*z - 6 = 0, 0 = -0*r + 3*r - z - 6. Let j = 45876 - 45860. Calculate the least common multiple of r and j.
16
Let c(k) = 2*k**2 - 6*k - 11. Let q = -99 - -96. Let x be c(q). Suppose 5*f - x = -0. Calculate the lowest common multiple of f and 4.
20
Let f(j) = -2*j**2 + 5*j - 5. Let o = 3/370 + -31883/7770. Let h = o - -320/77. Calculate the common denominator of h and f(1).
33
Let v = -24092 - -24681. Calculate the smallest common multiple of v and 95.
2945
Let z be 199 + -202 + (-34 - (-1 - -1)). Let y(i) = -3*i**3 - i**2 - i - 1. Let f be y(-1). Find the common denominator of 81/10 and (-1 + f)/(3/z).
30
Suppose 11*f = 2*f + 6*f + 3*b + 72, -5*b = 0. What is the lowest common multiple of f and 1040?
3120
Let g be 9/(-6)*104/78. Calculate the common denominator of (52/96 - g) + (-24)/64 and -31/42.
42
Suppose 5*n + 147 = 582. What is the lowest common multiple of (-4)/(-32) - 299/(-104) - -9 and n?
348
What is the common denominator of 15/(-36)*(25/(-10))/(-5)*3 and -69/88?
88
Let i be (-32)/(-56) + 12/(-21). Calculate the common denominator of ((-1)/(-8))/((-44)/(-7128)) and (37/8)/(1 + i).
8
Let u = -4152 + 3774170/909. Let w = u + 8149/14544. What is the common denominator of w and (-47)/(-12) + 2/(-3 + -3)?
48
What is the common denominator of -1*((-13524)/(-4224) - 3) and -21/440?
1760
Let p = 15 + -14. What is the common denominator of 526/120 + (5/p)/(-15) and 1*(2 - (-1)/14)?
140
Let a = -52812/11 - -4800. What is the common denominator of 109/286 and a?
286
Suppose 3*y + 44*h - 47*h - 57 = 0, y + 4*h + 6 = 0. What is the least common multiple of y and 1218?
1218
Calculate the common denominator of (249/747)/((-4)/74) and -1/604.
1812
Let n(v) = -v**3 - 4*v**2 + 2*v - 3. Let a be n(3). Let g = a + 65. Calculate the least common multiple of 5 and g.
5
Suppose 6*l - 216 = 2*l. What is the smallest common multiple of (1/((-4)/6))/(63 - (-124795)/(-1980)) and l?
54
Let y be (130/(-12051))/((1/1)/(-66)). Let j = y - -5717/3399. Let r = 12/1273 - -138613/15276. What is the common denominator of j and r?
132
Let b(l) = 61*l**2 - 2*l - 17. What is the lowest common multiple of 9 and b(-5)?
4554
Let s = 0 - 12. Let b = 10 + s. What is the lowest common multiple of 3 and (-2)/b + 19 + -10?
30
Let b = 7069979/24 - 294580. Let k be 1485/1486 - (1 + 0). Let r = k + 32707/22290. What is the common denominator of b and r?
120
Suppose l + 14 = -7*q + 2*q, 5*q = 3*l + 22. What is the lowest common multiple of 45 and l/((-135)/80) - 2/6?
45
Let y = 142242520/6079 - 23399. Let m = -686921/36474 + y. Find the common denominator of (-9)/16*5 - 3 and m.
48
Let i = 1/110420761 - -173199982717/4085568157. Let u = -1418/33 + i. What is the common denominator of u and -65/27?
999
Let n be (-94042)/281658 - 1/(-3). Let r = n - 21464/364711. Let y = 1146/1111 - r. Calculate the common denominator of y and -91/10.
110
Suppose 0 = 50*j - 18*j - 160. Calculate the lowest common multiple of j and 45.
45
Suppose -2*p + 6*p = 12. What is the smallest common multiple of (7 + p + -4)*244/24 and 1?
61
Suppose -4*z = 5*i + 184, -5*i + z = -3*i + 84. Let n = -39 - i. What is the least common multiple of 4 and ((-6 + 7)/n)/(1/2)?
4
Suppose -4*x - 20252 = -4*a, 63*x - a + 10128 = 61*x. Let n be ((-136893)/(-81))/(2/(-6)). Let v = x - n. Find the common denominator of v and -37/5.
45
Let q = 9961 - 288911/29. Find the common denominator of q and 55/87.
87
Find the common denominator of 77/6 and (-171)/(-63) + -3 - 10029/(-25326).
1206
Let j = -5994 + 6026. What is the least common multiple of 132 and j?
1056
Suppose 0 = 2*f + 4*v + 56 - 532, 4*v = -5*f + 1160. Calculate the common denominator of (-1577)/f + 4/(-3) and -73/32.
32
Let g = 262 - 259. Suppose -4*r + 72 = -2*n, g*n + 90 = r + 4*r. What is the least common multiple of r and (-2)/(-1)*3 - -2?
72
Let l = 1678 - 5086/3. Let g = 2504237/84 + -29813. Find the common denominator of l and g.
84
Let o be (-218501)/(-17544) + (-2)/3. Let x = o + -93/43. Find the common denominator of 77/2 and x.
8
Let v be (-14)/10 + (1 - 15/25). Calculate the lowest common multiple of 147 and 7*72/(-4)*v/21.
294
Suppose 2*x - 50 = 50. Let t(q) = 13*q - 66. Calculate the smallest common multiple of x and t(7).
50
Suppose 3*x - 5*b - 14 = 0, 4*x + 5*b - 42 = -0*x. Let q = -1 - -10. Calculate the smallest common multiple of (-3)/q + 4/3 and x.
8
Let o(m) = m**3 + 7*m**2 + 7*m + 8. Let i be 1/(5/2) + 83520/(-300). Let c = i - -282. Calculate the lowest common multiple of c and o(-6).
4
Let j = 57940001/3700 + -391757/25. Let f = -3/148 - j. Find the common denominator of 3 + 192/(-14) - -3 and f.
35
Let k be 3 + -1*(-4083)/(-952). Let q = 21/17 + k. Calculate the common denominator of 65/8 and q.
56
Let u(n) = 12*n. Suppose 578*y - 579*y = -d - 14, -5*d - 28 = -3*y. What is the smallest common multiple of u(4) and y?
336
What is the common denominator of 103/120 and (-16 - 38335/(-1428)) + -11?
840
Let h = -6827 + 8321. Calculate the least common multiple of 1328 and h.
11952
Suppose v = -3*r + 5, -3*v + 4*r = 3*r + 15. Find the common denominator of 41/9 and ((-18)/v)/((-56)/80).
63
Let f(l) = l**2 + 20*l + 396. Calculate the lowest common multiple of f(-38) and 8.
1080
Let r be (-18)/14*350/(-150). Suppose -4*o = 5*d - 316, r*o + 288 = -49*d + 54*d. What is the least common multiple of 10 and d?
60
Let i = 2273 + -2271. Let q be 7 - (1/(-1) + 3). What is the common denominator of -103/40 and i + q/(-60)*-9?
40
Let w(r) = 3*r + 26. Let z(u) be the second derivative of -u**3/6 + u**2/2 - 6*u. Let s(g) = w(g) + 4*z(g). Calculate the lowest common multiple of 16 and s(8).
176
What is the common denominator of 23/32 and 21 + 25 + 245934/(-5364)?
4768
Suppose -2*h + 20 = 2*i, 2*i + 7*h - 22 = 3*h. Let n = 11 - i. Suppose 0 = n*r + 4 - 6. What is the smallest common multiple of r and 8?
8
Let m = -17647/90 + 1768/9. Calculate the common denominator of 109/340 and m.
1020
Suppose 82 = 2*l + 76. Let y be -1*l/(15/(-425)). Find the common denominator of -23/6 and (-4 + y/6)/(-2).
12
Let v = 35 - -232. What is the least common multiple of 40 and 2*2/(-8) - v/(-6)?
440
Let k = -84 - -48. What is the common denominator of 7 + -2 - 3 - (-66)/k and -17/66?
66
Let c(n) = n**3 - 111*n**2 + 1440*n + 18. Calculate the least common multiple of c(15) and 4786.
43074
Find the common denominator of (-2)/36 + (-3748)/(-3960) and -149/90.
990
Let q = -111/4 - -2207/80. What is the common denominator of (-1841)/770 - (-3 + 0) and q?
880
Let s be 16*(6/((-9)/(-3)) - 0). Let m = -323 + 334. Calculate the low