j - 3*z - 5 + 20 = 0. Let w be d(j). Calculate the common denominator of (4 + w/9)*-15 and 35/3.
3
Let l be -2 - ((-434)/(-20))/(-1). Let f = -396421/20 - -19828. Let s = f - l. What is the common denominator of 17/8 and s?
8
Let h = -333705 + 539267327/1616. Find the common denominator of h and -5/144.
14544
Suppose -3 = -d + 2*r, 2*r + 8 = 6*d - 4*d. Let y = -1447619 - -1447629. What is the smallest common multiple of d and y?
10
Let c = 658/5 + -53368/405. Calculate the common denominator of c and 103/84.
2268
Let i = -1253133 + 4095238589/3268. Calculate the common denominator of -113/6 and i.
9804
Let z = 27581 - 1158347/42. Let c = 464343/70 + -6633. Calculate the common denominator of c and z.
210
Suppose -m + 6*m = 10. Suppose -t = m*t - 12. What is the least common multiple of 143 and t?
572
What is the common denominator of (2/268)/((-310)/1085) and 143/144?
9648
Let q = 37031 + -3629005/98. Calculate the common denominator of q and -145/126.
882
Suppose n - 15290 = 11*n. Let z = 58/239 - -13999/2390. What is the common denominator of z and n/33*2/(-12)?
90
Find the common denominator of (2/182)/(35*12/(-1620)) and 19/7.
637
What is the lowest common multiple of -4 - (-3503 + 126/(-14)) and 10?
17540
Suppose -54*i + 6 = -7*i - 229. Let f(m) = m**2 + 7*m + 7. Calculate the least common multiple of i and f(7).
105
Let k = -4034105/28 + 144035. Let r = -4616 + 32190/7. Let d = k - r. What is the common denominator of d and -71/4?
4
Let m(l) = 2*l. Let x(f) = -15*f + 6. Let b(o) = 5*m(o) + x(o). What is the lowest common multiple of b(-6) and 28?
252
Suppose -2*s = 10 - 200. Suppose f - 3*u - s = 0, -u + 250 = 3*f - 3*u. Calculate the least common multiple of 6 and f.
240
Let x be 0 - (1 + 1*-19). Let y(v) = 11*v + 148. Let r be y(-12). Suppose x = k + r. What is the lowest common multiple of k and 11?
22
Let i be (-30)/(-4) - (-3)/(-6). Let g(j) = -2*j**3 - 49*j**2 - 15*j + 201. Let t be g(-24). What is the least common multiple of -2*i/(70/t) and 9?
9
Let t(p) be the first derivative of -p**3/3 + 7*p**2 + 40*p + 147. Let n(z) = z**2 - 2*z + 5. Calculate the least common multiple of n(-5) and t(16).
40
Let v = -3 + 10. Calculate the lowest common multiple of 228/v + (-15)/(-35) and 9*(-1 + 6/2).
198
Find the common denominator of 3/10 and (-429)/(-2827)*((-1876)/210 - -9).
2570
Let s = -14343 + 14348. Calculate the least common multiple of 5376 and s.
26880
Let t(b) = 2*b**2 - 2*b - 16. Let p be (-2 - 20/(-8))*-24. Let h be t(p). Suppose 9*k = 262 + h. What is the lowest common multiple of k and 20?
620
Let r = -3535655/72 - -49107. What is the common denominator of 2/(-11) - 178/(-198) and r?
792
Let f(o) = -12*o. Suppose 5594*q + 30 = 5599*q. What is the least common multiple of q and f(-1)?
12
Let k be (-1 + 3)/((-4)/(-6)). Suppose -2 = -2*i + n - k, -i = 4*n - 22. Suppose -4*a = -3*a - i. What is the least common multiple of a and 4?
4
Let d = 1200 + -1104. What is the smallest common multiple of 24 and d?
96
Let t(z) = -z**3 + 23*z**2 + 28*z - 72. Calculate the least common multiple of t(24) and ((-192)/112)/((-4)/70).
120
Let l be 88/14*(13 - 6). Suppose 0 = 42*n - l*n + 90. Let d = 297 - 1245/4. Find the common denominator of d and n.
4
Suppose 0 = -5*y + 346 - 396. What is the common denominator of 41/90 and (y/14)/(1344/(-1372))?
720
Let s(z) = 8*z - 10. Let u be s(4). Let j = -1 + u. Suppose j = 4*w - 3*l, -5*w = 3*l + 1 - 7. Calculate the lowest common multiple of 27 and w.
27
Let f = -7125 + 7135. What is the least common multiple of f and 4258?
21290
Calculate the common denominator of (-4)/8 + 53 + -28 + 13 and 41/4270.
4270
Let j = -2147/60 + -51/20. Let q = 625/12 + j. Find the common denominator of q and -47/18.
36
Let w = -272689439/1704 + 160029. What is the common denominator of w and 41/1704?
1704
Let r = -540 + 565. Suppose r*y - 33*y + 16 = 0. What is the smallest common multiple of 2 and y?
2
Let o be 1/(-2)*(4 + -2). Let t(w) = -15*w**3 - w**2 + w + 1. Suppose -24*y = -n - 26*y + 14, 4*n = -y + 77. Calculate the least common multiple of n and t(o).
140
Find the common denominator of 127/1460 and ((80/75)/8)/(28/1015).
4380
Suppose -2*t = -w - 730, 10*w - 6*w = -3*t - 2953. Let y = w + 742. Calculate the smallest common multiple of y and 4.
12
Suppose -6*o + 4*o + 4*z = 2, 2*z - 4 = 0. Suppose -9 = -x + 3*w + 5, 28 = 2*x + o*w. Let k = 15 - 7. What is the least common multiple of x and k?
56
Calculate the lowest common multiple of -31 + 32 - (-51)/6*2 and ((-4)/4 - -2) + 11.
36
Let d(j) = -4449*j**3 - 7*j**2 - 6*j + 3. Let t be d(-6). Let u be t/36*1/(-49). Let r = -3770/7 - u. Find the common denominator of r and -29/2.
12
Let v = -20505 - -20788. What is the lowest common multiple of 10 and v?
2830
Let m = -3165715/213 - -44594/3. Let t = m + -9117/1562. Calculate the common denominator of t and ((-145)/10 - -1) + (-1)/4.
44
Let x(l) = -l**3 + 135*l**2 - 1798*l - 140. Calculate the smallest common multiple of x(120) and 30.
300
Let c be (-1 - 4)*(-13)/((-325)/(-10)). Let k = -66 + 84. Calculate the smallest common multiple of (0 - 3)*-4*c/8 and k.
18
Suppose 316 = 4*h + 124. Suppose 2*v - 5*v + h = 0. Suppose 2*c - 83 = -2*c - p, 0 = 4*c + 3*p - 89. Calculate the lowest common multiple of v and c.
80
Let b be ((-26)/4 - -4) + (-38)/4. Calculate the lowest common multiple of 6/(-3)*(-15)/6 and (-15*2/b)/(1/4).
10
Let r = -14107/22068 + 2/5517. Let p = 485 - 926. Calculate the common denominator of r and ((p/112)/21)/(11/4).
396
Let p be (-11)/(33/216) - 0. Let f = p + 84. Let r = 0 - -8. What is the least common multiple of r and f?
24
Let t = 2/51257 - 5997097/717598. What is the common denominator of 5073/(-204) - 2/(-17) and t?
28
Suppose 0 = 5*w + 4*j - 844, -670*w + 666*w + 672 = 4*j. What is the least common multiple of w and 160?
6880
Let f = 1874 - 125556/67. Let i = 4672/5 - 931. Find the common denominator of f and i.
335
Let i be ((-85)/(-51))/(1/(-54)). Let y be (42/i)/((-202)/(-5517)). Let x = -45/101 - y. Find the common denominator of x and -55/6.
30
Let t(q) = q**3 + 25*q**2 - q + 3. Let k be t(-25). Suppose -3*w + k + 92 = 0. Calculate the smallest common multiple of w and 68.
680
Let x = 0 + 15. Suppose -x*l = -22*l - 700. Calculate the common denominator of (18/(-40))/((192/l)/4) and -44/7.
112
Let t = -84203 + 34775872/413. Find the common denominator of t and 51/8.
3304
Suppose 19 = 3*q + y, -2*q - 4*y = -y - 1. Let p(k) = -k + 16. Suppose -33 = -5*r + 32. What is the smallest common multiple of p(r) and q?
24
Let b be 10/4*11761/40. Let s = b - 734. Calculate the common denominator of s and (-1 + (-327)/(-180))/((-14)/(-35)).
48
Let o = -7/2916 - 177841/14580. Find the common denominator of 37/1760 and o.
1760
Let l = 3 + 1. Suppose -l*z = z + 9985. Let c = -9923/5 - z. What is the common denominator of c and -47/2?
10
Let b = 22462680 + -85133556043/3790. Let p = -2/379 + b. Find the common denominator of p and -67/442.
2210
Let n = 202569/600425 - 4/17155. Find the common denominator of 51/125 and n.
875
Calculate the smallest common multiple of 24 and 4166/8 + 0 + 790/632.
2088
Let b be ((-2)/(-6))/((-34)/6). Let h = -2561/102 + b. Find the common denominator of h and -12 - 744/(-60) - 319/60.
12
Suppose -5*s = -3*t - 54, -40*s - 2*t + 39 = -35*s. Calculate the smallest common multiple of s and 31.
279
Let x = 55323/1232 + -1261/28. Find the common denominator of 158/12*(1/(-2) - (-164)/(-656)) and x.
176
Let z(r) = -r**2 - 48*r - 312. What is the smallest common multiple of z(-36) and 168?
840
Suppose 2*r - 4*n = 4, -2*r = -0*n + 2*n - 34. Let a = 229 + -227. Suppose -k = -5*w + 14 - 58, -a*k = 4*w - 32. What is the least common multiple of r and k?
24
Suppose -27*v + 857 + 2367 = -1258. What is the smallest common multiple of v and 11?
1826
Let v be (-2)/(-3 + (-1964)/(-656)). Suppose 56*r = 52*r + v. What is the least common multiple of r and 7?
574
Let d = 1 + 4. Suppose 4*c + 66 = 3*c. What is the lowest common multiple of (6 - c/(-12))*4 and d?
10
Let l = -8353 - -643158/77. Let c = l + 4/7. Find the common denominator of c and -31/192.
2112
Let y(c) = 0*c - c + 75 - 74 + 2*c. Let z be y(7). Suppose 80 = z*v - 7*v. What is the lowest common multiple of v and 12?
240
Let p = 3/