**2 + 10. Suppose 9*y + 21 = 12*y. Let g be f(y). Calculate the smallest common multiple of 14 and 5*(3/6)/(g/8).
14
Suppose 4*h - 16 = -2*z, 0 = 5*z - 2*h + 4 + 16. Let n = 3 - -6. Calculate the least common multiple of n and (-1 - 9/6)/(z/8).
90
Let b = -43673 + 43743. Let g = 15 + 5. What is the least common multiple of b and g?
140
Let f(h) be the third derivative of -h**5/60 - 18*h**2. Let u be f(-1). Find the common denominator of -67*(u + 52/48) and 1/3.
12
Let a be (7 - (5 - 1)) + -42. Let v = -31 - a. Suppose 2*u = -i + 16, u + u - v = 0. What is the smallest common multiple of 6 and i?
24
Let x(q) = q + 13. Suppose 0*p - 30 = 5*p + 2*o, 0 = -3*p + 4*o + 8. Calculate the lowest common multiple of x(p) and 3.
9
Let a(g) = -19*g**2 - 74*g + 3. Let k be a(-4). What is the lowest common multiple of 39 and 2*k/15*36/(-8)?
39
Let c = -286527 + 286541. Let r = -12 - -20. Calculate the smallest common multiple of c and r.
56
Let c(r) = -10*r**2 - 9*r - 6. Let n be c(-1). Calculate the common denominator of 6/5 and (-4)/10 - (1421/(-665))/n.
95
Let y be (5 - (-96)/(-18))*(-386404854097)/15505315. Let t = -3/3101063 + y. Let b = t - 8303. Calculate the common denominator of b and 89/10.
30
Let s(m) be the second derivative of 0 - 22*m - 5/12*m**4 + 7/6*m**3 + 7*m**2 - 1/20*m**5. What is the least common multiple of s(-6) and 12?
24
Find the common denominator of 2 + (38/(-1026))/((-1)/(-3)) and (194/(-108))/(28/21 - 1).
18
Let f = 509/14 - 6/7. Let u = -24426188065/913 + 26753769. Let l = 4/83 - u. Calculate the common denominator of l and f.
22
Let p = 4 - -8. Suppose 3*j - 159 = 6*u - 11*u, 161 = 5*u + 2*j. Calculate the lowest common multiple of u and p.
132
What is the least common multiple of 1820 and 20 + 96572/77 + 4/(-22)?
12740
Suppose 9 = -t - 33. Let y be ((-12)/t + (-11)/14)*-18. Suppose y = 4*c - 35. What is the smallest common multiple of c and 13?
143
Suppose 2*y = -3*l + 45 + 67, 3*l - 2*y = 128. Suppose -l = 3*n - 13*n. What is the smallest common multiple of 60 and n?
60
Let i be (-1011960)/(-21) - 14*(-16)/(-392). Let h = -6746359/140 + i. Calculate the common denominator of -17/18 and h.
1260
Let f(m) = 3*m**2 - 4*m + 4. Let k be f(3). What is the common denominator of -59/33 and k/(4 + (-17 - -2))?
33
Let o = -80 - -312. Suppose 3*v + s = 50, 5*s + 114 - 188 = -4*v. What is the lowest common multiple of o and v?
464
Let u = -455516493/1240 + 367353. Let s = -33/31 + u. What is the common denominator of s and -41/45?
360
Let h be (228/42 - 5)/((-2)/(-14)). Suppose -5*l + 50 = r, 5*l = 4*r + h*l - 112. What is the lowest common multiple of 102 and r?
510
Let f(l) = 4*l**3 - 4*l**2 - 3*l + 9. Let o = -471 + 474. What is the least common multiple of 32 and f(o)?
288
Find the common denominator of 99/476 and (650/260)/(1/(-7)).
476
Let b be 400/512 - (2 + 7/(-4)). Let j = -371/32 - b. Calculate the common denominator of -55/56 and j.
56
What is the common denominator of 59/129 and 1118/102 - (-288)/(-24)?
2193
Let h = -25 + 49. Suppose 0 = -4*d + 5*c + 24, -d + 2*c = d - 10. What is the least common multiple of -27*d/(-6)*4 and h?
72
Let l = -408781/105876 - 1/5882. What is the common denominator of l and (3/(-10))/((-16)/(41344/2052))?
180
Let a = 1/239 + 945/2629. Let q be 1676962/114660 - (-4)/26. Let y = q - -17/315. What is the common denominator of a and y?
66
Let b = 6224531 + -254533521639/40892. Find the common denominator of b and -87/10.
204460
Let r be 2/(-3)*4582009/1060. Let v = -2884 - r. Find the common denominator of 25/27 and v.
270
Suppose l + 2*o = 1261, -l + 99*o - 95*o + 1303 = 0. What is the smallest common multiple of l and 306?
7650
Find the common denominator of 7/646 and -32*((-102)/54 - -2).
5814
Suppose 4*l = 40 - 20. Suppose -5*q - y = -196, 5*q = l*y + 52 + 168. What is the smallest common multiple of 15 and q?
120
Let o = 196 - 193. Suppose o*p - 28 = -16. What is the smallest common multiple of p and 6?
12
Let r = -49 + -22. Let p = r + 95. Suppose 5*y = 3*a - 0*a + p, -5*y - a + 12 = 0. Calculate the lowest common multiple of 42 and y.
42
Let h = 53 + -50. Suppose -46*k = -50*k - 5*y + 153, -2*k + 93 = -h*y. What is the least common multiple of k and 27?
378
What is the common denominator of -71/16 and 18/36*1587/368?
32
Suppose 0 = -3*u - 19 + 46, 0 = 4*n + 5*u - 49. What is the smallest common multiple of n and 519?
519
What is the common denominator of ((29/522)/((-5)/3))/((-4)/445) and -55/632?
1896
Let l(h) = h**3 + 11*h**2 - 6*h. Suppose -5*i - 12 = -3*i + 4*f, 0 = 3*f - 6. Let z be l(i). Calculate the common denominator of 75/4 and (-8)/(-20) + 131/z.
32
Find the common denominator of (((-122)/(-200))/(-1))/(-6 + 8) and 127/1780.
17800
What is the common denominator of -73/2814 and ((-3584)/96)/(0 - 2)?
2814
Let b = 258 - 1482. Let x = -24449/20 - b. Let t = -5/338 - 8947/676. Calculate the common denominator of t and x.
20
Let w be 396/10*(-15)/3. Let j be (w/(-27))/(4/6). Let g = 32 - j. What is the lowest common multiple of 27 and g?
189
Suppose -12 = -2*b, 5*a + 2*b = 3*a + 24. Calculate the smallest common multiple of a and 226.
678
Let y(b) = -b**2 - 4*b + 23. Let t be y(-7). Suppose x = -x + 3*j + 15, 3*x + t*j = 29. Suppose 10 = x*q - 17. What is the least common multiple of q and 6?
6
Let t = -2473/78 - -540/13. Find the common denominator of -43/2504 and t.
7512
Let j = 81 - 49. Suppose -108 = 7*p - 19*p. What is the least common multiple of j and p/(-99) - 882/(-22)?
160
Let l be 8/(-12) - 2*141/(-18). Let f be 10/l - (-3578)/6. Calculate the common denominator of -97/10 and (-3)/7 + f/70.
10
Let o be (-1)/19*(-10 - -11). Let m = -537/95 - o. What is the common denominator of -137/12 and m?
60
Suppose -9542 = -13*x - 0*x. Let y = -644 + x. What is the lowest common multiple of y and 45?
90
Let l = 5/1784 + -17181/3568. Find the common denominator of 87/34 and l.
272
Suppose 3*w - 1026 = 3*g, -9*w + 1698 = -4*w - 3*g. What is the lowest common multiple of w and 432?
3024
Let y = 2/13977 - 3098239/27954. Let b be (-2)/(5 + 199340/(-39724)). Let u = b + y. What is the common denominator of 97/24 and u?
360
Let r = -58 - -58. Suppose 0 = -13*j - r*j + 364. Suppose -2*g - 5*h = -43, 0 = -5*g + 4*h + 55 + 3. What is the lowest common multiple of g and j?
28
Let y = -367597/44 - -8354. Let j = -19/632 + -14877/4424. What is the common denominator of y and j?
308
Let s = 77 + -76. Suppose 3*f + 2*c = -s, -c - 2*c - 30 = -5*f. What is the common denominator of -1 + (-240)/27 + f and 2/9?
9
Let v = -38 + 37. Let o(a) = -14*a**3 + a**2 - 1. Suppose 134 = 2*s - 2*b, -3*b - 2*b - 15 = 0. What is the smallest common multiple of s and o(v)?
448
Suppose -20 = -n - 17, -3*o = n - 12. Calculate the least common multiple of 19 - o - (2 + 2) and 6.
12
Let i(k) = -26*k + 118. Let y be i(7). Let o = y - -91. Calculate the smallest common multiple of o and 18.
54
Let g = 617 - 983. What is the lowest common multiple of (-42)/9 + 4 + g/(-9) and 25?
200
Suppose 5*c = -2*c. Suppose 9*x - 162 = -c*x. Calculate the least common multiple of 32 and x.
288
Let s = 233 + -399. Let o = s - -167. What is the least common multiple of o and 11?
11
Suppose 0 = x, -10*y + 5*y + 3*x + 10745 = 0. Suppose -6*h = -y + 133. Suppose -t = 13*t - h. Calculate the lowest common multiple of 63 and t.
504
Let m = 12474 + -249577/20. Find the common denominator of m and 65/3282.
32820
Let q = 1748 + -45465/26. Let h = q + -98/39. Calculate the common denominator of 58/45 and h.
90
What is the common denominator of (-164)/6*(834/48 - 17) and (-21)/26 + 3 + -2?
52
Suppose 0*d - d - 12 = k, 2 = -k + 4*d. What is the lowest common multiple of 9 and k/(-12) + (-2)/(-12)?
9
Suppose 15*y + 46 - 1074 = -242*y. Calculate the least common multiple of y and 2384.
2384
What is the common denominator of 13/814 and (-13059)/4554 - 44/506?
814
Let q = -83 - -85. Suppose 2*o - q = -a + 8, a = o - 8. Calculate the lowest common multiple of 116 and 2*((-3)/(-6) - (-45)/o).
464
Suppose 0 = 5*t - 4*o - 309, 0*o = -2*t - 2*o + 138. Suppose 0 = -45*s + 42*s - 5*l + t, 4*l + 76 = 4*s. Calculate the lowest common multiple of s and 32.
160
Let y = 1 + 2. Let w = -31764 - -31785. Calculate the smallest common multiple of w and y.
21
Let k be 29807