4. Let t = 3/490 - -2767/245. What is the common denominator of t and g/((-2)/(-3)*27)?
90
Let r = 72 + -66. What is the lowest common multiple of 38 and r?
114
Let g be ((272/3)/(-2))/(-7). Let v = g + -1/7. Let a = -24/77 - 312/77. Find the common denominator of v and a.
33
Let g(l) be the second derivative of l**3 + l**2 - 3*l. Calculate the lowest common multiple of 20 and g(2).
140
Suppose 2*n - 88 = -0*n. Calculate the smallest common multiple of 162/36 + 28/8 and n.
88
Let x = 66739/2652 + 1/884. Find the common denominator of 49/17 and x.
102
Suppose -i - 2*i + 123 = 0. Let l = 5/323 - -3493/3876. Calculate the common denominator of i and l.
12
Let m = -234 - -264. What is the lowest common multiple of m and 45?
90
Suppose 1 - 7 = -2*x, -4*x = -4*b + 12. Let d be (-34)/b - 20/(-30). Let y = d - -9. What is the smallest common multiple of 11 and y?
44
Let u = -45 - -71. Suppose 11 = -3*s + u. Suppose s*b - 42 = -7. Calculate the lowest common multiple of 1 and b.
7
Suppose 5*m - 1 + 11 = 0. Let i be m/7 - 10209/(-378). Let f = -350/9 + i. Calculate the common denominator of 11/4 and f.
12
What is the least common multiple of 192 and (24/30)/(2/280)?
1344
Let r be ((-45)/12 - -3)*-28. Let p = 30 - r. Let h(a) = a**2 - 6*a - 7. What is the smallest common multiple of 4 and h(p)?
20
Let z = -6804567147725575/77496 + 87805398315. Let b = 4/10621 + -2295/34295209. Let s = b - z. Find the common denominator of s and -75/4.
24
Let z = -39 + 44. Suppose z*j = 86 - 6. What is the smallest common multiple of j and 2?
16
Let x(c) = -c**3 + 11*c**2 + 31*c - 31. Suppose 2*p = 5*j + 29, -3*p + 5*p + 1 = -j. What is the smallest common multiple of p and x(13)?
34
Suppose -3*n - 878696 = -4*i + 2499207, i - 3*n = 844487. Let q be 0 - -3*i/(-774180). Let x = 2/5865 - q. Calculate the common denominator of 39/5 and x.
55
Suppose 24 = -5*i - i. Calculate the smallest common multiple of 378/22 + i/22 and 9.
153
Let s = -19 - -16. Let x be (-15 - s)*2/(-6). What is the lowest common multiple of 6 and 28*2/2 - x?
24
Suppose -5*u + 549 + 607 = 3*o, -4*o + 1528 = 4*u. Calculate the lowest common multiple of o and 174.
2262
Suppose -8*x = -5*x. Calculate the lowest common multiple of x*(-1)/3 - -10 and (3 + (1 - 13))/(-1).
90
Let h(w) = -39*w + 6. Let r be h(-3). Suppose -5*x = 3*g + 186, -3*x - r = -2*g - 0. What is the lowest common multiple of (-6)/x + (-180)/(-13) and 22?
154
Let i = 5453 + -3840. Let z = 226213/102 + -10216/17. Let p = i - z. Calculate the common denominator of 49/10 and p.
30
Suppose -d = -6*d - 3*h + 42, 0 = -2*d + 2*h + 20. What is the least common multiple of (-7 - -4) + 14 + 0 and d?
99
Let g(h) = 3*h - 1. Suppose -93 = 17*c - 365. Calculate the lowest common multiple of c and g(3).
16
Let f be ((-30)/(-20))/((-3)/(-4)). Suppose 4 = o, 0 = n + f*o - 5*o + 4. Calculate the smallest common multiple of n and 10.
40
Calculate the lowest common multiple of 18 and (57 + -54)*610/3.
5490
What is the lowest common multiple of 4 + -2 + (-48)/(-8) and 8?
8
Let x be 17 + -11 - (0 + 1). What is the common denominator of (6/x)/3 - (-1442)/120 and -59/18?
36
Let u(d) = -1 - 9 + d + 325*d**3 - 324*d**3 + 8*d**2. What is the smallest common multiple of u(-5) and 12?
60
Let k = -364316207/16 - -22778840. Let f = k + -9074. Calculate the common denominator of (6/(-8))/(9/(-98)) and f.
48
Suppose -27 = 6*k - 225. Suppose -3*l + k = 6. Calculate the lowest common multiple of 69 and l.
207
Let d = -18723 + 32498. Let o = 303139/22 - d. What is the common denominator of o and -3/80?
880
Find the common denominator of 53/6 and ((-30)/32 + 1)*170/3.
24
Let y = 581 - 504. What is the lowest common multiple of 28 and y?
308
Let c(i) = 10*i**2 - 27*i + 47. Calculate the least common multiple of c(2) and 33.
33
Let l = 3938 - 129919/33. What is the common denominator of l and -82/399?
4389
Let i = 10 - 0. Let u = -233/32 + 185/32. Calculate the common denominator of ((-186)/i)/(14/(-5)) and u.
14
Let r(d) = -d - 3. Let q be r(-6). What is the common denominator of q - (3/(-4) - (-1315)/100) and -97/4?
20
Suppose 5*k = p - 92, 5*k - p + 94 = p. What is the common denominator of 88/k*132/(-64) and 3/8?
24
Let u be ((-2)/4)/(10/540). Let k(o) = o**3 - 4*o**2 - o - 4. Let j be k(3). Let q = j - u. Calculate the smallest common multiple of 4 and q.
44
Let h = 4840 - 29171/6. What is the common denominator of h and 6/9 - 4585/840?
24
Let u(y) = y**3 + 9*y**2 - 2*y - 4. Let z be u(-7). Find the common denominator of (29/5)/(z/(-30)) and 113/18.
18
Let y = 131 + 7. What is the smallest common multiple of 6 and y?
138
Let l = 75 + -74. Suppose -3*a + 9 = -3. Suppose 0*p + a = 2*p. Calculate the lowest common multiple of p and l.
2
Let i(u) = 444*u**2 + 3*u + 4. Let y be i(4). Let t = y - 71139/10. What is the common denominator of (-4)/(-6) + 95*(-6)/(-1800) and t?
60
Calculate the common denominator of (102/16)/(4732/104) and -39/2.
364
Suppose 32*k = 34*k - 6. Suppose -3*v + 13 + 18 = -h, -2*v - k*h + 6 = 0. What is the smallest common multiple of v and 41?
369
Let u(k) = -k**2 + 21*k - 7. Let b be u(14). What is the smallest common multiple of 14/b - 230/(-26) and 8?
72
Let u(b) = -b - 8. Let y be 46/207 - (-184)/(-18). Calculate the least common multiple of 22 and u(y).
22
Let d(l) = -9*l - 2. Let r(a) = 18*a + 4. Let x(i) = -5*d(i) - 3*r(i). Calculate the least common multiple of x(-1) and 8.
56
Suppose 3*o - 222 = -2*k, -2*k + 214 = -0*o + 5*o. What is the least common multiple of k and 45?
585
Let o = 3/1429 + 58562/12861. Calculate the common denominator of (-4148)/(-366)*(1/(-18) + 0) and o.
27
Calculate the common denominator of (-10)/(-16)*((-2292)/450 - -4) and -23/28.
420
Suppose -5*a - 5*p + 905 = 0, -3*a - 25*p + 21*p + 548 = 0. Calculate the least common multiple of a and 66.
528
Let s = 1015391/9030174 - 12/19051. Find the common denominator of -11/4 and s.
948
Let v = 12 + -11. Calculate the common denominator of 31/24 and v/((-2)/4) - (-196)/48.
24
Let x = -35 + 75. Let y = -9635096 + 3757691201/390. Let f = y - -3/130. Find the common denominator of f and x.
3
Let o = 8579 - 51589/6. Suppose 5*m = -2*t + 4 + 4, -5*t + 20 = -3*m. What is the common denominator of (218/4 + m)/(-11) and o?
66
Let f = 114 - 115. Suppose 4*n + 6 = -2. What is the smallest common multiple of 2 and f + ((-12)/2)/n?
2
Suppose 2*f = -2*f + 2012. Suppose 4*a = 961 + f. What is the least common multiple of 10 and a/36 + 1/(-6)?
10
Let k = -1/134 - 100/67. Let w = 3316 - -9381. Let o = -203239/16 + w. Find the common denominator of k and o.
16
Let t(r) = 2*r**2 + 9*r - 6. Let s(g) = 6*g**2 + 28*g - 18. Let h(o) = -5*s(o) + 16*t(o). What is the smallest common multiple of h(-4) and 3?
30
Suppose -29*t + 45 = -24*t. What is the least common multiple of t and 12?
36
Calculate the common denominator of 92/560 - (-6)/21 and 41/52.
260
Let t = -716 - -11481/16. Find the common denominator of 103/96 and t.
96
Let r = -6560/3 + 2207. Find the common denominator of r and (1/((-12)/26))/(5/105).
6
Calculate the lowest common multiple of 35 and (460/8)/(20/(-8) + 3).
805
Calculate the common denominator of 27/316 and (32/(-14))/(13/((-364)/(-12))).
948
Suppose -5*a + s = -2*s + 30, 5*a + 25 = 2*s. Calculate the common denominator of a/100*2260/24 and (-2105)/(-200) - 3/(-8).
40
Let k = 916837/62 - 14788. Let o = k - -903/620. What is the common denominator of (-430)/84 + 1/3 and o?
140
Let v be (-20)/6*264/(-55). Suppose 0 = -u - o + v, -3*o = 5 + 1. Calculate the lowest common multiple of u and 10.
90
Let x = -194 + 197. What is the lowest common multiple of -7*((-2 - -4) + -3) and x?
21
Calculate the common denominator of -52/5 and 103/(-376) + (-15)/(-120).
235
Let p = -2287 + 25196/11. Find the common denominator of (-1)/9 + (-1039)/(-198) + -2 and p.
22
What is the common denominator of 3*6/576 + 0 + 2 and 109/160?
160
Let d be ((-1183056)/(-180664))/6 + 6/(-4). Let h = -30575/12192767 + 12/5939. Let t = h + d. Find the common denominator of -67/8 and t.
88
Let g = 11 - 15. Let f(p) = p**2 + 2*p - 3. Let z be f(g). Suppose -35 = -z*s + 5*h, 5*h - 5 + 22 = -4*s. What is the lowest common multiple of s and 1?
2
Let j = 5657/1485 + -58/15. Find the common denominator of j and -79/330