is the common denominator of 3 + z*6/(-63) and -63/8?
56
Let z = -11914332227/71823960 - -948267/5960. Let v = 679795/744484 - 127/139. Let c = v + z. Calculate the common denominator of c and -67/3.
9
Let r be (-12)/24 - 22/(-4). What is the common denominator of r/10 + 70/6 and 2/3?
6
Let q = -178 - -202. What is the least common multiple of 84 and q?
168
Let f = 12717/77 - 1179/7. Find the common denominator of f and -19/66.
66
Suppose -w = 3*m - 8, -5*w = -5*m + 2*m + 14. What is the common denominator of w - 1/(3/40) and -101/8?
24
Let c = 17039/2808 - -85/216. Let x = c + 833/26. Calculate the common denominator of (12/(-33))/(-4) + 1 and x.
22
Suppose -y = 4*q + y - 364, 384 = 4*q - 3*y. What is the lowest common multiple of q and 10?
930
What is the common denominator of -2*3/18*22 and 25/(-110)*10 + (-2 - 0)?
33
Let a be (-10)/(-40) - (-38)/8. Suppose -a*c = -2*c - 4*f - 308, 2*c = -2*f + 224. What is the common denominator of 172/c*6/(-4) and 37/8?
72
Suppose -6 + 11 = -5*q. Let x be -1*11595/11589 - q. Let h = x - -166153/84986. What is the common denominator of 13/22 and h?
22
Let k = 22617 - 2691392/119. Find the common denominator of 4/51 and k.
357
Let b = 5514 + -2401. Let l = 15506/5 - b. Find the common denominator of -56/9 and l.
45
Suppose 8*h - 17 = 55. What is the lowest common multiple of 108 and h?
108
Let h = 55786/9 + -6190. Calculate the common denominator of 151/396 and h.
396
Let b = -90182057/86 + 1048593. Let u = b + 3/43. Find the common denominator of u and 9/10.
10
Let x = 15484 - 170333/11. Calculate the common denominator of (-18)/100 + 1/(-2) and x.
275
Let b = 701269/6 - 117388. Let r = b + 507. Let h = 249/8 + -2221/72. What is the common denominator of h and r?
18
Let v = 10513/10 + -1054. Find the common denominator of v and 16 - 1 - (-2375)/(-152).
40
Suppose -21*o + 26*o = -20. What is the lowest common multiple of (1 + 7/o)/(34/(-136)) and 5?
15
Let r = 102 - 58. Suppose 31*c = 29*c + r. What is the smallest common multiple of c and 6?
66
Let n = 1/4464 - 1601/504432. Let m = n - 12533/3390. Calculate the common denominator of m and 85/6.
30
Suppose -4*r + 2*s = 6*s - 28, -3 = -r + s. Let p(m) = m**3 - 6*m**2 + 7*m - 6. Let w be p(r). Find the common denominator of w/(-3)*(-27)/88 and -151/6.
66
Suppose -23977 = -3*t - 5*o + 20501, -4*t - 4*o = -59312. Let b = t - 326179/22. Find the common denominator of 1/60*722 + (-9)/27 and b.
110
Suppose 0 = -4*o + 2*f - 178, -o + 62 = -2*o + 4*f. Let v = 52799205401/4309904212 + 452/1145033. Let m = 1/941 - v. What is the common denominator of m and o?
4
Let c = -329/110 + -3/5. Calculate the common denominator of c and -61/540.
5940
Let h = 23 - 19. Let a(p) = 4*p - 3*p**2 + 11 - 9 - p**2 + p**3. What is the least common multiple of h and a(4)?
36
Suppose b + 5*f = 5164, b - 3*f = 4413 + 783. Let s = b - 46607/9. Let w = -8885/1596 - 1/228. Calculate the common denominator of s and w.
63
Suppose 3*i = 6*i - 27. Suppose 3*m = -3*y + 87, -4*y + 2*m = -i*y + 130. Calculate the lowest common multiple of y and 18.
72
Let k(b) = -b**2 - 9*b - 3. Let q be k(-8). Suppose q*m = 4*m. Let v(f) = f**2 - f + 8. Calculate the least common multiple of 10 and v(m).
40
Let w(x) = x + 6. Let j be w(-4). Let q be (-90)/(-12)*(-2)/(-3). Suppose j*u + 2 = 2*m - 38, -q*u + 10 = 0. Calculate the smallest common multiple of 8 and m.
88
Calculate the lowest common multiple of 7 and 45 + -43 + (-1)/((-2)/12).
56
Let w = -1235/1888 + 140/59. Find the common denominator of w and 4/16*37*1.
32
Let g = 26 + -8. Suppose -16*v + 162 = -270. Calculate the smallest common multiple of v and g.
54
Suppose 4*f + 0 - 16 = 0. Suppose -3 = t - 6. What is the least common multiple of f and t?
12
Calculate the least common multiple of (-9 - (-7 + -5))/(2/100) and 20.
300
Let z(x) = 2*x + 12. Calculate the smallest common multiple of z(9) and -4*(5 - (-14 - -7 - -14)).
120
Let g be 2/(-1)*(-5)/(-10). What is the common denominator of ((-13)/8)/(g/20) and -29/40?
40
Let a = 5 + -18. Let z(j) = j**3 + 15*j**2 + 26*j + 2. Calculate the least common multiple of z(a) and 14.
14
Let b = 4037/6912 - 95/256. Calculate the common denominator of 19/24 and b.
216
Suppose 3*v + v = -4068. Let l be -1 + 4 + (1 - -2). Calculate the common denominator of 91/4 and (-3)/27*v/l.
12
Suppose 0 = -4*k + 5*a + 81, -2*k - 3*a + 16 - 3 = 0. Let q(c) = -c**2 - 3*c + 8. Suppose 8 = 4*h - 6*h. Calculate the least common multiple of k and q(h).
28
Let z be (12/160)/(3/832122). Let o = z + -20808. What is the common denominator of (-190)/15*(-30)/(-88) and o?
220
Let m be 49 + -18 + 1*-1. Find the common denominator of (-2)/6 - m/(-45) and 41/11.
33
Let u = -97 + 84. Let h be 26/(-7) - 2/7. Let z = h - u. Calculate the lowest common multiple of 5 and z.
45
Suppose -4*p = -7*p - 6*p. Suppose -20*a + 22*a - 4 = p. Let o = 27 - 5. What is the least common multiple of a and o?
22
Let s be ((-1)/3)/((-5)/45). Suppose 8 = -2*c + s*c. Calculate the least common multiple of c and 16.
16
Suppose 2*m - 4*m = -10. Suppose 25 = -h + 40. Let s = h - m. Calculate the lowest common multiple of 1 and s.
10
Suppose 0 = 2*u + 3*u + 20. Let g(n) = n**2 + 2*n + 2. Suppose 0 = 25*t - 27*t + 12. Calculate the smallest common multiple of g(u) and t.
30
Let j(k) = 15*k**2 + 1. Let h = 10 + -11. Let p be h*(-2)/(0 - -2). Calculate the smallest common multiple of j(p) and 6.
48
Calculate the smallest common multiple of 52 and 970/20 - 28/(-8).
52
Suppose 2*q = -2*o - 0*q - 4, o - 2*q = 13. What is the least common multiple of (7 + -3)*3 - o and 5?
45
Let g(q) = 3*q**2 - 4*q + 9. What is the lowest common multiple of g(5) and 14?
448
Let i = 484778/159 + -3049. Let b = i + 16637/3180. Calculate the common denominator of b and 15 + -19 - ((-203)/34 + 2).
340
Let w(f) = -f**3 - 2*f**2 + 4*f + 2. What is the smallest common multiple of 26 and w(-4)?
234
Let n = -772 + 786. What is the least common multiple of n and 242?
1694
Suppose o + 9009 - 989 = 0. Let t be o/112392 + 6/2. Let x = t + -1/14049. Calculate the common denominator of 9/14 and x.
14
Suppose -2*p = -u, -2*p + 3 = p. What is the smallest common multiple of (12/(-27))/(u/(-18)) and 10?
20
Suppose -p + 34 = 2*l + 5, -3*l = 5*p - 131. Suppose -2*w = -5*u - p, -4*w = u - 16 - 1. What is the smallest common multiple of 18 and -1 - -9 - u - -1?
36
Let a(d) = d + 13. Let v be a(-11). Suppose 2*m + 18 = 2*y + v*y, 0 = -4*y - m + 9. Calculate the lowest common multiple of y and -3*(-2)/6*2.
6
Suppose -b + 56 = 2*x, b - 5*x - 135 = -2*b. What is the least common multiple of 80 and b?
400
Let j = 3/4 - -7/12. Let t = -58/45 + 4/45. What is the common denominator of t and j?
15
Let t be (549/(-5))/(78/(-15)). Let c = 11391/533 - t. Calculate the common denominator of c and -41/6.
246
Let r = -29/33 + 184/297. Let o = -5802043/54 - -107442. Let n = r + o. What is the common denominator of n and -15/4?
4
Suppose 16*x - 30 = 18*x. Calculate the common denominator of x/12*(0 - 33/(-18)) and 4/15.
120
Let o = 137 - -5. Let j = -587/4 + o. Let r = -700103/117904 - -3/7369. Calculate the common denominator of j and r.
16
Let t = -48 + 66. Calculate the least common multiple of t and 36.
36
Let w be (-13)/7 - 1/7. Let i be (-2 + w/1)/(-1). Let r(t) = t**2 - 3*t - 2. What is the least common multiple of 10 and r(i)?
10
Let p = -1580 + 113759/72. What is the common denominator of p and 1/6*(-129)/(-4)?
72
Let i = -45903 + 6747655/147. Find the common denominator of -31/168 and i.
1176
Suppose -22*a + 21*a + 2 = 0. Suppose 5*p + c = 145, -a*c - 105 = -4*p - 5*c. What is the least common multiple of 33 and p?
330
Let p = 403 - 393. What is the smallest common multiple of 114 and p?
570
Suppose -2*r + 5 = -z, 0*r + 4*z + 20 = -2*r. Suppose r = -5*g - 2*s + 138, -s + 5*s = -5*g + 136. What is the lowest common multiple of g and (4/3 - 2)*-3?
28
Suppose 369*i - 375*i = -72. Calculate the lowest common multiple of 52 and i.
156
Let g = 551723/615984 + 2/12833. Find the common denominator of g and -5/18.
144
Let a = -2620 - -18281/7. Let c = -13/105 + -1473/70. Let l = c - -40/3. What is the common denominator of a and l?
42
Suppose -2*z - 13 - 3 = -4*i, -4*z = 2*i + 2. Suppose p - 2*y = 25, 2*p + 10 = -3*y + 46. What i