v - 2*u + 4476 = v, v - 4*u - 2253 = 0. Let g be (8/12)/((-18)/(-60603)). Let a = g - v. Calculate the common denominator of 37/10 and a.
90
Suppose 13*x - 14*x + 5 = 0. Suppose -2*o - 5*p - 125 = 0, -x*o - p = p + 281. What is the lowest common multiple of (0 + o)*(-39)/65 and 9?
99
Let c(a) = -2*a**3 + 12*a**2 - 6*a - 15. Let s be c(5). Calculate the common denominator of 59/7 and (s/((-80)/92))/(2/3).
56
Let k be (-6)/((-2)/(-5) - (-23)/(-20)). What is the common denominator of (k/16)/(54/375) and -22/27?
108
Let u = -55 - -77. Let w(y) = 17*y - 41. Let j be w(3). Let m = 20 - j. Calculate the least common multiple of u and m.
110
Let b = -1054845751/900 - -1172051. Calculate the common denominator of -53/720 and b.
3600
Let k(a) = -a**2 + 15*a - 45. Let c(b) = -6*b - 27. Let m be (-5 - -7)/((-9)/7 - -1). Calculate the least common multiple of k(6) and c(m).
45
Let d = 51 + -61. Let l be d/(-4)*(-2028)/(-10). Find the common denominator of 37/8 and 0 + ((-6)/(-27) - l/(-270)).
40
Let f = 18587 - 18482. What is the smallest common multiple of 98 and f?
1470
Let w = 147666 - 147664. Let u(k) = k**2 + 9. Suppose 9*j = 4*j. Calculate the least common multiple of w and u(j).
18
Suppose 3*b = -5*d + 315, 3*d - 223 = 11*b - 6*b. What is the least common multiple of d and 220?
660
What is the least common multiple of (26/78)/((-2)/(-3204)) and 979?
5874
Let u be -4 - (1/2026)/(18/(-146088)). Let l = u + 37397/14182. Calculate the common denominator of l and 83/42.
42
Let i(n) = 5*n**2 - 12*n. Let d(b) = 4*b**2 - 9*b. Let l(z) = -6*d(z) + 5*i(z). Calculate the lowest common multiple of 33 and l(9).
297
Suppose 22*b - 21*b = -11. Find the common denominator of (b/121)/(7/(-3) + 2) and -4 - (-7215)/(-78)*(-4)/55.
11
Suppose 2*q - 12 = -4*v, -4*q + q = 4*v - 24. Let h(p) = 3*p**2 + 28*p + 48. Let x be h(-11). Let l = x + -85. What is the least common multiple of l and q?
36
Let o be 6*27 + 18/6. Let c be (-2)/8 - o/44. Find the common denominator of (-1)/c + 1727/(-220) and 16/5.
5
Let m(y) = 577*y**2 + 8*y - 575*y**2 + y. Let s be m(4). Let l = s - 56. Calculate the smallest common multiple of l and 2.
12
Calculate the common denominator of 53/1782 and (1/(-121))/(2/(-25) - 2160/(-20750)).
19602
Suppose 3*l = -l + 180. Let q = -1522 - -1531. Calculate the smallest common multiple of q and l.
45
Suppose 52 - 164 = 7*w. Let g = w - -35. Suppose -3*t + 82 = g. Calculate the smallest common multiple of 15 and t.
105
What is the common denominator of -9/377 and 2*10189/16380 - 420/378?
26390
Let u(o) = -o**3 + 43*o**2 - 106*o - 336. Calculate the lowest common multiple of u(40) and 560.
1120
Suppose -22*f = -40*f + 2160. Let h = f - 102. Calculate the lowest common multiple of h and 74.
666
Calculate the common denominator of -48/215 and (2668/368)/((-22)/(-8)).
2365
Calculate the smallest common multiple of 956 and 15/40 - 135/(-24).
2868
Let s(v) = -3*v**3 - 12*v**2 + 18*v + 51. What is the smallest common multiple of s(-6) and 6?
318
Suppose -72*x - 54 = -111 - 1239. Calculate the lowest common multiple of 144 and x.
144
Let k(r) = -2*r**2 + 8*r + 28. Let q(c) = -c**3 + c**2 - 4*c - 10. Let w be q(0). Let h be k(w). What is the common denominator of -55/7 and h/117 + (0 - 2)?
91
Find the common denominator of -29/128 and -7 + ((-2)/(-12)*-1)/(45/2295).
128
Let n(g) = -g**3 - 7*g**2 - 17*g - 36. Let d(q) = -q**3 + 4*q**2 + 7*q - 34. Let b be d(4). What is the smallest common multiple of 22 and n(b)?
330
Let y(c) = 62*c**2 + 9*c + 9. Let m be y(9). Let r be ((9/(-6))/(-3))/((-6)/m). Find the common denominator of (4 - 2)/8 + r/(-72) and 109/12.
12
Let o = -1095/4 + 278. Suppose 0 = -n + 7*n - 570. What is the common denominator of -2*(n/80 - 0) and o?
8
Find the common denominator of -7 - (66443/31464)/((-122)/(-33) + -4) and 77/2208.
11040
What is the common denominator of -89/70 and (84/1470)/((-3)/(2055/(-520)))?
1820
Let j = -3808 + 3841. What is the lowest common multiple of j and 12726?
139986
Suppose p + 0*p = -4*t + 26, 3*p = -2*t + 18. Let d(j) = -7*j**2 + 141*j - 110. What is the least common multiple of d(19) and t?
42
Let z = 889 + -859. What is the smallest common multiple of (2 + -4)/(3*(-8)/1044) and z?
870
Let i(p) = -2*p**2 + 41*p + 56. Let t(j) = -j**2 + 19*j + 28. Let f(z) = -4*i(z) + 9*t(z). Calculate the smallest common multiple of 24 and f(0).
168
What is the least common multiple of 254/889 - 38/(-14) - -1*11 and 2284?
15988
Let h = -22981 - -24796. What is the lowest common multiple of h and 330?
3630
Let x be -2 + 1 - 83099/(-581). Let v = 638/83 + x. Let g = 8839/56 - v. Calculate the common denominator of g and 65/8.
8
Suppose 2*a = 180 - 60. Calculate the common denominator of ((-3)/(-10))/((-3)/(-19)) and 6/(152/a - 4).
110
Suppose 80 = 3*c + c. Suppose -8*q = -9 - 7. Let l(p) = 10*p - 16. Calculate the smallest common multiple of c and l(q).
20
Let g = -30487/7 + 4354. What is the common denominator of g and 1/56?
56
Suppose -2*i + 794 = n, -4*n + 346 = 2*i - 2824. What is the lowest common multiple of n and 693?
5544
Let s be 1/7 + ((-621)/7)/(-9). Suppose s*y - 3*y = 168. Calculate the least common multiple of 66 and y.
264
Let u = 2765/12 - 230. Suppose -13*c + 10*c = 84. What is the common denominator of (c/(-140))/(2 - (-138)/(-65)) and u?
24
Suppose 24 = z + 4*u, -4*z + 26*u = 24*u - 60. What is the smallest common multiple of z and (-6996)/(-20) + 1/5?
2800
Let v(d) = -109*d + 9. Let r be v(-3). Let b = 285 - 6865/24. Find the common denominator of b and (-20)/35 - 1558/r.
24
What is the common denominator of -89/10 and (((-4860)/(-975))/(-54))/((-1)/(-11))?
130
Let s = 172 + -168. Suppose s*m + 2*w + 3*w - 196 = 0, -2*m - 4*w + 104 = 0. Calculate the lowest common multiple of m and 121.
484
Let k = -389 + 366. What is the smallest common multiple of 120 and k/(-2) + -1 + (-10)/4?
120
Suppose 0 = 5*v - 5*r - 20, -4*r + 2*r = 3*v - 12. What is the common denominator of 65/4 and v/312*(-498)/(-4)?
52
Suppose -b - 4*d + 64 + 20 = 0, 5*d - 88 = -b. What is the least common multiple of 272 and b?
272
Find the common denominator of 33/310 and -4*1 - (-12978)/31*36/3744.
8060
Let z(s) = 3*s**2 + 91*s - 50. What is the smallest common multiple of 2250 and z(-31)?
4500
Let v = 92 + -39. What is the least common multiple of 35 and v?
1855
Let f = -540403/24 - -22520. Calculate the common denominator of 6/16*(-28)/30 and f.
120
Find the common denominator of 69/116 and (195/(-26))/(1392/42).
464
Let i = -36 - -42. Let r = i + -5. What is the common denominator of 45/4 and (-3)/r - (-77)/8?
8
Let h(x) = 2*x + 6. Suppose 0 = -2*v + v - 4*t - 12, -3*v - 2*t = -14. Let a = 2766 - 2754. What is the smallest common multiple of a and h(v)?
132
What is the common denominator of 31/513 and 4*(6 - (-3775)/(-648))?
3078
Let w = -386171/22 + 17555. What is the common denominator of -107/6504 and w?
71544
Let b = -72 - -60. What is the common denominator of (1/(-201))/(b/24) and 43/27?
1809
Let t(j) = -183*j + 1465. Let f = 439 - 268. Calculate the least common multiple of f and t(8).
171
Let u be ((-12)/295)/((-2)/95). Let y = 2539/1770 + u. What is the common denominator of y and (-12)/42 + (-3)/(630/598)?
30
Let n = 15564 + -15558. Let f = -2 + 7. Suppose 20 = f*o - 3*d + 5*d, o + 3*d - 4 = 0. Calculate the least common multiple of n and o.
12
Suppose -13*r + 9*r = -20. Suppose 4 = r*i - 16. Calculate the lowest common multiple of (-72)/(-27) + (-1)/(-3) and i.
12
Find the common denominator of 1750/4580 - 10/30 and 109/30.
6870
Let r = 31978421/738 - 129994/3. Find the common denominator of r and -103/164.
1476
Suppose 2*s = -0*s + 5*f, 4*f + 14 = 3*s. Suppose -5*y = 2*q - 16, 5*y + 0*q + 5*q = s. Calculate the lowest common multiple of 30 and y.
60
Suppose g + 82*j = 87*j + 846, 2*j + 855 = g. What is the smallest common multiple of 738 and g?
5166
Let r = -274/49 - -148/49. Calculate the common denominator of r and 149/3090.
21630
Let y = 62 + -59. Suppose -25*t - 320 = -30*t. What is the smallest common multiple of t and y + (-46)/(-3) - (-2)/(-6)?
576
Let l be ((-2)/41020*1)/((-134)/(-8353493)). Let j = 11/2930 + l. What is the common denominator of -133/48 and j?
336
Let w be (2/15*9)/((-9)/30). Find the common denominator of (w