78. Calculate the common denominator of -193/1650 and q.
21450
Let c be 4 - 2 - 2 - -2 - -15. Let j be 196/(-68) + (-2)/c. Calculate the common denominator of -53/10 and (3 + 0)*(243/(-66))/j.
110
Suppose -24 = -35*c + 29*c. Calculate the common denominator of 53/22 and (4/((-128)/219))/((-9)/c).
264
Let p(c) = -2*c**3 + 49*c**2 - 261*c - 13. Calculate the lowest common multiple of 1704 and p(8).
18744
Let o(u) = -374*u + 392. Calculate the least common multiple of o(1) and 172.
1548
Let i(v) = -8*v + 80. Let a be i(9). Calculate the common denominator of 10/11 and 2/(a*-2)*(-23 - -46).
88
Suppose -6*f = -2*f - 4*n - 52, -3*n + 5 = f. Calculate the common denominator of (-61)/f - (-1)/(1 - 0) and (1/(-22))/((-6)/(-6 - 636)).
22
Find the common denominator of -41/1071 and 62/357*(-8769)/(-296) - (-21 + 26).
4284
Let x(y) = y**2 - 9*y + 54. Let d(n) = 62*n - 57. Let l be d(1). Suppose -j - 10 = -4*u, 4*j - 5*u + 7 = -0. What is the lowest common multiple of j and x(l)?
34
Let x = 124 + -129. Calculate the lowest common multiple of 55 and (-2)/x - 3256/(-110).
330
Let u = -13559 + 16007. What is the lowest common multiple of u and 2720?
24480
Let q = -1606 - -2854. What is the common denominator of -17/91 and 1772/q - 12/96?
546
Suppose -2*y = 5*h - 16, 3*y - 4*y + 17 = -2*h. What is the common denominator of y/39 - 273/360 and -9/7?
280
Suppose 0*y - 2*y - 4*d + 16 = 0, 20 = 4*y - 4*d. Suppose -2*x - 442 = -3*s, -3*x = -4*s - y*x + 595. What is the lowest common multiple of s and 14?
1036
Let t = -51558349668227/1151 - -44794280728. Let s = t + 115161. Let y = -57154/37983 - s. Find the common denominator of y and 91/12.
132
Calculate the common denominator of -15/736 and -17 + 1712/96 + 7046/(-7728).
5152
Suppose -3*k - m = -5*k - 142, -2*m = k + 76. Let l = 37846/16995 - -8/515. Calculate the common denominator of l and (2/21)/(k/(-448)).
297
Let v = -5141 + -4300. Let n = 14219 + v. Let d = n + -43058/9. Calculate the common denominator of -81/10 and d.
90
Suppose -6*q + 2*j = -2*q - 84, 54 = 4*q + 3*j. Let z(h) = h**2 + h - 6. Calculate the lowest common multiple of q and z(8).
198
Suppose 5*h = 2*a - 164, -50*h = 5*a - 48*h - 352. What is the smallest common multiple of a and 620?
11160
Let w(z) = -2*z**3 + 206*z**2 - 403*z - 81. What is the least common multiple of (16/10)/((-2)/(-10)) and w(101)?
40
Let g = -200 + 202. Let x = -128477/12 + 10699. Calculate the common denominator of x and 92/10 + g/4.
60
Let m be (9/(-6))/((-2132)/(-1072) + -2). Calculate the common denominator of 626/(-90) - 14/(-35) and m/24*(-14)/35.
90
Let l = -2/477341 - -76855201/787612650. What is the common denominator of l and 149/1980?
9900
Calculate the common denominator of -47/3069 and (81/405)/(36/170).
6138
Find the common denominator of -11/5 and (-299)/437*(-2)/(-29).
2755
Suppose 17 - 57 = -q. Let c(r) = 497*r + 2907. Let w be c(-6). Find the common denominator of (11/q)/((-20)/w) and 31/20.
160
Let u = 30377/6 - 5048. Let v = -13/2 - -37/6. What is the common denominator of u and v?
6
Let x = -418018 + 418076. Suppose -11 - 1 = -4*c. Suppose c*w - 10 = 50. Calculate the least common multiple of w and x.
580
Suppose 0 = -4*d + 25*d + 12*d - 131373. What is the least common multiple of 33 and d?
43791
Suppose -39 = -6*s + 21. Suppose s*k + 34 = 5*k - 3*h, -2*k + 3*h - 1 = 0. Find the common denominator of (237/36 + 1)*3/k and -97/20.
20
Let b = 150215/18 + -8341. Let f = 5/162 + 1027/405. Calculate the common denominator of b and f.
90
Let w be (17 - 22)/((-3)/(-225)). What is the least common multiple of 9 and 4/26 - w/13 - -4?
99
Suppose 2*g = 2*b + 94, 0 = -3*g + g - b + 91. Suppose 0 = -0*l - l + 2672 - 2667. What is the least common multiple of l and g?
230
Calculate the common denominator of -22/27 and 22/(-68640)*-1339*1.
2160
Let b(z) = 7*z**2. Let u be b(1). Let d = -436 - -458. What is the smallest common multiple of d and (u/4)/(6/48)?
154
Suppose -9*a = -38 + 2, -2*f + 1108 = a. Calculate the lowest common multiple of f and 63.
11592
Let x be 7425/(-33)*1/(-3). Let h(r) = -2*r**2 - 3*r + 2. Let v be h(5). Let m = v + x. What is the lowest common multiple of 3 and m?
12
Let z = 1/138 - 577/276. What is the common denominator of (-12)/(((-2)/16)/((-5)/45)) and z?
12
Find the common denominator of 62/9 and (-7 - (-518)/(-84))/(-2 + (-1593)/6).
4815
Let m be (60/5)/4 - (3 + -4). Suppose -m*y = 3*k - 0*k - 250, -5 = -5*y. Calculate the lowest common multiple of k and 10.
410
Let w be -5 + (217815/(-130635))/((-2)/6). Let c = w - -37229/246755. Calculate the common denominator of -17/45 and c.
765
Let c be (21/9 + (-2)/6)/2. Calculate the least common multiple of 52 and c/(6 + 123/(-21)).
364
Let m = -29931 - -29941. What is the least common multiple of m and 6279?
62790
What is the common denominator of 2/(8 + ((-2460)/(-69))/(-4)) and -79/154?
462
Let w = -373171/1354776 + 30/2971. What is the common denominator of -47/36 and w?
1368
Suppose 4*t = -u + 11, -3*t = -0*u - 2*u. Suppose t*v - 4 = 12. What is the least common multiple of ((-3)/15)/((-9)/450) and v?
40
Let m = 45023 + -2431351/54. Calculate the common denominator of m and 2/(-3) + (-39)/(-54).
54
Calculate the lowest common multiple of (2 - -28)*(-3 + (-882)/(-54)) and 336.
8400
Let p = 2978 + -2972. Calculate the least common multiple of p and (-3308)/(-24) - 4/(-24).
138
Find the common denominator of (15/(-12))/(((-1)/(-5) + 0)*8) and -31/172.
1376
Suppose -40*a + 11789 + 5131 = 0. Let x(j) = -4*j + 1. Let d be x(1). Calculate the common denominator of -11/10 and a/63 - -3 - (-1 - d).
70
Suppose -18*b = -19*b + 16. Suppose 0 = -17*f - 306 + 816. Calculate the least common multiple of f and b.
240
Let j = 31729/16546980 - -926121239993/1432190759940. Let s = -4/9617 + j. What is the common denominator of s and 95/18?
54
Let j = 111 + -105. Let p(d) = -d**2 - 6*d - 1. What is the smallest common multiple of (4 - (-5)/(-20))/(j/32) and p(-5)?
20
Let v = 189 + -191. What is the common denominator of -82/39 and 59/(-25 - (2 - 4) - v)?
273
Let o = -4420 + 6554. Calculate the smallest common multiple of 194 and o.
2134
Suppose -21*b = 386 - 575. What is the lowest common multiple of b and 12231?
12231
Suppose 0 = 4*r - 6 - 10, -2*r = 2*b - 10. Calculate the least common multiple of 20 and ((-15)/(-3) - (-14 + 1))*b.
180
Suppose 3*k = -8*k - 1584. Let w = -134 - k. Let a = -9 - -15. What is the lowest common multiple of a and w?
30
Let r = 12369 - 11883. Calculate the least common multiple of r and 60.
4860
Suppose 15*u - 23 = 112. Calculate the common denominator of u + (-7 - (-25)/36) and 7/22.
396
Suppose -3 - 11 = -5*p + b, 2*p - 4*b - 2 = 0. What is the common denominator of -113/80 and 44/(-1760) + (p*2)/2?
80
Let g = 9 + -30. Let y = 174 + g. Calculate the common denominator of y/(-8)*4/(24 - 0) and 31/22.
176
Suppose -138 = -3*b + 3*k, 0 = -5*k - 1 - 4. Suppose -732*o + 413*o = -17545. Calculate the smallest common multiple of b and o.
495
Let f be ((-209020)/(-8) - 1)/(-2657). Let d = 2/7971 - f. Find the common denominator of 68/207 and d.
414
Let u(t) = -t**2 - t**3 + 76*t - 2*t**2 - 17 - 167*t + 75*t. Calculate the least common multiple of 70 and u(-4).
630
Let g = -4376 - -5118. Calculate the smallest common multiple of g and 56.
2968
Let y = 718460/91 + -7895. Let l = -1465/182 - y. Calculate the common denominator of -11/214 and l.
1498
Let q(k) = 0 - 7*k**2 + 9*k**2 - k**3 + 2*k**3 - 16*k - 8 + 6*k**2. Calculate the smallest common multiple of q(-6) and 24.
480
Suppose 0 = 4*s - 190*s - 5*s + 382. Suppose 2 = -x + 1. What is the lowest common multiple of s and x/(2*1/(-26))?
26
Let n = 3390 - 210. Calculate the least common multiple of n and 6.
3180
Suppose -24*c = -197147 + 27707. What is the lowest common multiple of 12 and c?
21180
Let k(g) = g**3 - g**2 + g + 2. Suppose 33*p + 56*p + 30*p = 3213. Calculate the smallest common multiple of p and k(4).
54
Let q = -31 + 29. What is the common denominator of 111/10 and (-33)/30*(q + (-23)/(-4))?
40
Let i(x) = x**3 - 13*x**2 - 10*x - 23. Let r be i(14). Suppose -7290 = -r*s + 18*s. What is the least common multiple of s and 12?
972
Let t = 155/3 + -389/9. Let b = 2/4729 + 449111/340488. Find the common denominator of b and 