et b be 1/(-42)*(-5789)/14*2. Let l = b + -461/21. Find the common denominator of (-94)/(-48) + 2/(-12) and l.
168
Let s = -1079/1113 + -42/53. Find the common denominator of -5/1218 and s.
1218
Find the common denominator of (-2607)/(-127190) - 2/(-15) - 4/14 and -113/460.
1380
Let n = -34223/9672 + -4/1209. Let y = n - -697/120. Calculate the common denominator of y and 29/45.
45
Find the common denominator of 5/(1200/(-178)) - (-44)/(-330) and 33/22*(-43)/24.
16
Let y be (-78)/(-22) + 18/(-33). Calculate the least common multiple of (-14)/(-28) - ((-15)/2 - y) and 35.
385
Let o = -341 - -664. Let a = o - 307. What is the lowest common multiple of 44 and a?
176
Suppose a - 3*h + 7*h + 8 = 0, 4*a + 4*h = -20. What is the common denominator of (a + (-28284)/(-7072))/(3/(-414)) and 121/12?
2652
Let u be -3 - -4 - (-996)/(-870). Let l = 2489/435 - u. Calculate the common denominator of -57/25 and l.
75
Let r be (32 + -68)*2242/6. Let h be 1 + (483969/(-36))/(-1). Let q = h + r. Find the common denominator of q and -87/22.
132
Calculate the least common multiple of (-15)/(6/18*(-7 + (3 - -3))) and 15.
45
Let a(k) = 3*k + 71. Let r be a(-17). Suppose -4*b + r = -4. What is the lowest common multiple of 44 and b?
132
Calculate the common denominator of -5/49 and (15012/1365 + -11)/(2/55).
1274
Let q(z) = -z**3 - z**2 + z + 2. Let h be q(-2). Suppose s = h*o + 55, 9*s = 5*s + 4*o + 172. What is the least common multiple of 3 and s?
39
Suppose -4*f + 3*u = 17 - 139, 5*f = -5*u + 170. Let w = 26 + -21. Calculate the least common multiple of ((-1)/(5/w))/((-2)/56) and f.
224
Suppose -3*m = -57 + 54. Find the common denominator of -101/10 and 11/m*-1*(-3)/54.
90
Suppose -1003*x + 399 = -982*x. What is the least common multiple of 95 and x?
95
Let y(v) = -v**3 - 4*v**2 - 15*v - 6. Let h be y(-4). Suppose l + l + h = 0. Let d = l + 32. Calculate the lowest common multiple of d and 7.
35
Suppose 0 = 11*a - 13*a + 2*k + 30, -10 = 2*k. Let d = -35 + 263. Calculate the smallest common multiple of d and a.
1140
Let v = -31216580/2884947 - 2/221919. Let m = v - 11/13. What is the common denominator of m and -13/197?
591
Suppose -80*g + 98874 = 26874. Calculate the least common multiple of 1980 and g.
9900
Suppose 4 = -q - 11*u + 13*u, 0 = 2*u - 12. Calculate the lowest common multiple of 1120 and q.
1120
Suppose 240 = 24*z - 40*z. Calculate the common denominator of (45/40)/(z/(-124) + 0) and 37/118.
590
Suppose 40 - 16 = 4*h. Let x(l) = -h - 2*l**3 - 4*l**2 + 2*l**2 - 8*l + 9*l**2 + l**3. What is the lowest common multiple of 9 and x(5)?
36
Let s = -7817 + 9093. What is the lowest common multiple of s and 812?
8932
Suppose 41*t - 35*t - 12 = 0. What is the common denominator of 6/29 and 0 - t - (-3636)/216?
174
Let b be (-8 - -11) + 38*1. Let w = b - 36. Suppose -2*s - 2*x - 56 = 2*s, -w*s - 3*x - 72 = 0. Calculate the common denominator of s and 26.
1
Let a = -24658 - -1356227/55. What is the common denominator of a and 141/70?
770
Suppose 10 = 4*j + 26, -3*j = 5*d - 88. Let r(x) be the first derivative of 3*x**2 - 6*x - 55. What is the lowest common multiple of r(4) and d?
180
Let s = -535676837/798 - -671274. Find the common denominator of 167/210 and s.
3990
Suppose 7 = k - 2*l, 10 + 9 = 3*k - 5*l. Suppose -4*j + k*h - 5 = -13, 4*j - 28 = -2*h. What is the common denominator of j - ((-980)/(-125) + -3) and -59/3?
75
Suppose -3*a - 2*r = 2, 5*r - 3 + 8 = -4*a. Let k = -6671/11 + 607. What is the common denominator of 2 + (-372)/40 + a and k?
110
Let t = 22 + -20. What is the common denominator of 1/(-2)*t*153/60 and -31/10?
20
What is the least common multiple of ((-13138)/(-14) - -4) + 8/14 and 161?
6601
Let c(k) = k**3 - 7*k**2 + 10*k + 5. Let q = -63 - -62. What is the least common multiple of (q - -3) + 0 - (-1 - 0) and c(5)?
15
Let f be (30/(-6) + 4)/(1/8). What is the smallest common multiple of 7 and ((-180)/f)/(-15)*-30?
315
Suppose -273*h - 88 = -z - 268*h, 0 = -4*z - 5*h + 402. Calculate the lowest common multiple of z and 91.
1274
Suppose 152 = -28*j + 47*j. Suppose -j*g + 49 = 33. Let f(a) = a**3 - a + 20. What is the smallest common multiple of f(0) and g?
20
Suppose 18*m - 36 = -0*m. Suppose 0 = 4*s + 5*d - 135, -m*d = -0*d - 6. What is the lowest common multiple of 78 and s?
390
Let f(j) = -j**3 - 9*j**2 + 15*j + 7. Let x be f(-11). Suppose 2*i - x = 9*i. Calculate the lowest common multiple of 4 and i/(-3)*(-21)/(-2).
84
Let k = 93325/2227293 + -37/8114. Calculate the common denominator of -109/60 and k.
10980
Let r be 23/((3/2)/(-9 - -6)). Let x = r + 52. Calculate the smallest common multiple of 51 and x.
102
Let y be -5 + 0 + 231426615/4344. Let k = y - 53270. Let c = 1245/181 - k. Calculate the common denominator of c and -23/16.
16
Let n(i) = -i**2 + 6*i + 1. Let k be n(11). Let z = 50 + k. Calculate the smallest common multiple of 2 - -6*(-2)/z and 1.
5
What is the common denominator of ((7 + -4)/(-6))/((-126)/(-254)) and -55/602?
5418
Let q = 1922 - 4720. Let r = q + 27939/10. Find the common denominator of -5*34*(14210/(-1568))/145 and r.
40
What is the common denominator of -145/96 and (-1)/((360/(-141))/(-3))?
480
Suppose 0 = -5*j + 3*i + 79, -3*i = i - 8. Calculate the common denominator of j*(16/4)/(-28) and 432/40*(-15)/(-16).
56
What is the common denominator of ((-1760)/(-99))/20 - 6/9 and 2/2703?
8109
Let d(s) = -3*s**3 + 6*s**2 - 2*s + 1. Let a be d(2). Calculate the common denominator of 47/25 and -1 + a/(-5) - (-85)/170.
50
Let k = 155/2 + -75. What is the common denominator of ((-90)/60)/((-696)/34 + 3) and k?
198
Suppose -70 = -5*g + 5*y, -4*g = -2*y + 11 - 57. Suppose -17 = 18*u - 17*u. What is the least common multiple of g and 2*-1*(14 + u)?
18
Let n = -8 + 38. Calculate the least common multiple of n and 12.
60
Suppose 7*f = -26*d + 21*d + 2315, 0 = -2*f + 10. What is the lowest common multiple of 1140 and d?
2280
Let y be 0/(2 + -4 + 0/6). Suppose 0 = 2*u - 252 - 4. Find the common denominator of 50/17 and (y - 15/70)*u/6.
119
Let r(v) = -v**3 + 13*v**2 - 18*v - 10. Let d be r(12). Let c = d - -22. What is the lowest common multiple of (-1 - 1/(-2))*c and 33?
330
Let x = 138 + -135. Suppose -2*y + f + 11 = -18, 27 = x*y + 4*f. Suppose -95 = -9*a + y. What is the lowest common multiple of 30 and a?
60
Suppose -15*b + 20*b + 2*j - 46 = 0, -j - 2 = 0. Find the common denominator of (-1 - 48/b) + 13/(-52) and 109/100.
100
Suppose 25 = 3*u - 4*v, -34*u + 33*u - 5*v = -21. Let s be ((-24)/(-14))/((-3)/21). Let h(m) = -2*m - 13. What is the lowest common multiple of h(s) and u?
11
Let l be 822/15*33*30/(-136). Let d = -11743/14 + 3075/7. Let k = d - l. Calculate the common denominator of -79/6 and k.
102
Let s be 60405/(-63450) - (14/(-18) - -1). Let w = 101/235 + s. Find the common denominator of w and -49/5.
90
Let j be (-32)/(-24)*(-9)/6. What is the least common multiple of 5 and (9/((-27)/150))/(j - -1)?
50
Calculate the common denominator of -43/342 and 47/18*(-78)/(-117).
1026
Suppose 1507 = 4*k + 5*w, -5*k + 3*w + 372 = -1521. Let j = 380 - k. What is the smallest common multiple of 19 and j?
38
Let w(r) = -902*r - 5359. Calculate the lowest common multiple of w(-6) and 288.
15264
Let y = 3683 + -51493/14. Let l = 224 - 683/3. Find the common denominator of l and y.
42
Suppose -7 = x - 3*g - 2*g, -4*x + 22 = 5*g. Let q = 2/941 + -4729/11292. Calculate the common denominator of (-1)/(x + (-63)/17) and q.
12
Let j = 239 - 39. Suppose 11*l - 240 = j. What is the least common multiple of l and 100?
200
Let d = -4973 - -5005. What is the lowest common multiple of 256 and d?
256
Suppose -3*u - m + 57 = 45, -14 = -4*u - 2*m. Suppose 0 = -u*w + 5, 3*n - 2*w - 408 = 166. Calculate the lowest common multiple of 8 and n.
192
Suppose 3*w - 37 = k - 30, 2*k = 4. Let d(q) = -q**3 - 3*q**2 + 2*q + 3. Let o be d(-4). Calculate the least common multiple of 6 and (w - 6)/(-3) + o.
12
Suppose -3 = 3*l - 0, -503 = -s - l. Calculate the lowest common multiple of s and 4.
504
Let m = -45 + -8. Let d = -47 - m. Suppose -5*b = 2*a - 100, 2 = -b + d*a - 2*a. Calculate the lowest common multiple of 22 and b.
198
Let o = 354 - 358. Find the common denominator of o/32 - 89/(-504) and -57/10.
1260
Let l = -226152688836 + 24267088122353041