9
Let a be (-2)/(-3) - 592/24. Calculate the common denominator of (2/4)/((-32)/328) and ((-35)/a)/((-6)/9).
16
Suppose 3*c = -c - 48. Let d be ((-3)/15)/((-6)/244445). Let l = -8173 + d. Calculate the common denominator of l and c.
6
Suppose -124 = 7*u - 579. Let i = u + -45. Calculate the least common multiple of i and 12.
60
Let i(w) be the first derivative of w**2/2 + 15*w + 20. What is the least common multiple of i(19) and 6?
102
Calculate the common denominator of -77/24 and ((-2334)/144 - -9) + 2/6.
24
Let b = 129 - 72. What is the common denominator of 29/24 and 4*b/132 + -1*2?
264
Let m = 160 - 155. Let v(f) = 13*f**3 - f**2 + f. What is the least common multiple of m and v(1)?
65
Let c(h) = 12*h + h**3 + 9*h**2 - 4*h + 2*h - 8. Let z be c(-7). Let i = z - 16. What is the smallest common multiple of i and 24?
24
Suppose 0 = -2*b - t + 1, b = -b + 2*t + 10. Let y be (-15)/3*89 - b. Calculate the common denominator of y/12 + 2/(-8) and 9/5.
10
Let x(l) = 23*l + 43. Calculate the least common multiple of x(-1) and 176.
880
Let r = 34297/8 - 4279. Calculate the common denominator of r and (1/(-9))/(4/(-30)).
24
Suppose 3*a + 26*j - 9 = 23*j, 0 = a + 5*j + 17. What is the lowest common multiple of 16 and a?
16
Let x = -5 + -1. Let j be (2/4)/(x/(-252)). Calculate the common denominator of 28/11 and 3/(-6)*144/j.
77
Suppose 5*b = 2*h + 21, b - 8*h + 4*h - 15 = 0. Let n(z) = z**3 + 27*z**2 - 4*z - 90. What is the least common multiple of n(-27) and b?
18
Let c be (-4 + 6)/((-248)/20 + -4). Let r = 313/123 - c. Calculate the common denominator of r and 21.
3
Let m = 2/223 - -2893/669. Calculate the common denominator of -4/21 and m.
21
Calculate the least common multiple of 1/(0 - (-6)/96) and 12.
48
Suppose -x + 0 = 4*w - 17, 2*x + 5*w = 19. Let g be (x/4)/((-6)/13939). Let i = g - 1746. What is the common denominator of i and 11/2?
8
Suppose -2*s + 0*d - 1 = d, 0 = -s + 5*d + 16. What is the common denominator of -91/4 and s/2 + (246/(-48) - 4)?
8
Let f = -143 + 156. Let t(p) = -p**2 + 17*p - 30. What is the smallest common multiple of 9 and t(f)?
198
Find the common denominator of ((-23)/(-28))/(2/(-4)) and ((-819)/(-392))/((-39)/(-52)).
14
Let l = -91 - -168. Calculate the lowest common multiple of 28 and l.
308
Let l be (-75069)/3838*1/2. Let w = l - -3/101. Find the common denominator of -38/5 and w.
20
Suppose 39*f + 82692 - 15807 = 0. Let d = -707409 + 5645487/8. Let w = f - d. What is the common denominator of w and -3/7?
56
Suppose -2*p + 2*a = 0, 2*a = 2*p - 3*a - 6. Calculate the smallest common multiple of 16 and (52 - (p - 2)) + -4.
208
Let q(j) = -6*j + 93. What is the smallest common multiple of 156 and q(15)?
156
Suppose -7 + 9 = 4*s - 3*c, 3*s - 2 = 2*c. Suppose -r + 1 = -0. Calculate the least common multiple of r and s.
2
Suppose 4*j - 4*r = -60, 25 = -r - 4*r. Let u = 29/39 + -485/52. What is the common denominator of u and -1 + 5 - (-258)/j?
60
Suppose 5*v - s + 4 = 0, -2*v + 0*v + 3*s = -1. Suppose 6 = -5*n + 86. Calculate the lowest common multiple of n and 3/(3/(-22)*v).
176
Let w = -222 + 244. What is the lowest common multiple of 96 and w?
1056
What is the common denominator of 99/368 and 4/9 - 5517/(-1620)?
1840
Let z(p) = -p**3 + 21*p**2 + 22*p + 60. What is the smallest common multiple of 60 and z(22)?
60
Suppose -3*y + 3*l + 25 = 8*l, 0 = -y + l + 11. Let a be (-1)/3 - (-424)/12. Suppose -y*j + 9*j + a = 0. Calculate the lowest common multiple of 6 and j.
210
Let q = -10432427/144 - -72447. What is the common denominator of 38/81 and q?
1296
Let g be (-9)/(-9)*34/(-2). Let s = g + 31. Calculate the common denominator of 4/s + (-4850)/(-420) and 31.
6
Let t = -2/7297 - 1058053/43782. Let m = -5955/7 - -106189/126. Find the common denominator of t and m.
18
Suppose -17*b + 13*b = -96. Calculate the lowest common multiple of b and 582.
2328
Let m(d) = 2*d + 1. Let h(a) = 2*a**3 - a - 1. Let k be h(2). Let y be m(k). Suppose 7*n - 4*n - y = 0. Calculate the least common multiple of 1 and n.
9
Suppose 2*o - 12 = -6. Find the common denominator of 27/(-2)*o/(-126) and 81/2.
28
What is the least common multiple of 120 and 7304/176 + 1/2?
840
Let x(i) = -1522*i**3 + i. Let r be x(-7). Let k = r - 3142031/6. Let h = k + 1627. Find the common denominator of h and -43/40.
120
Let h(v) = -v**2 + 3*v + 1. Let n = -18 - -22. Let u be h(n). Calculate the least common multiple of -6*(0 - (-1)/u) and 4.
4
Let q(r) = r**2 - 6*r - 8. Let m be (1/(-3))/(-1) + (-667)/(-87). Calculate the least common multiple of q(m) and 12.
24
Let x = 257/139668 + 6383577673/349170. Let q = 18278 - x. Calculate the common denominator of 1/12*861/28 and q.
80
Let o be (-98)/38 - -4 - 2. Let y = o - 163/342. Calculate the common denominator of y and -107/14.
126
Suppose 0 = 2*u + u - 3*k - 3, 5*k - 31 = -u. What is the common denominator of (1 - (-39)/66)*-2 and 9/22 - u/(-4)?
11
Suppose 750 = 3*q - 13*q. Let b = 78 + q. Calculate the least common multiple of 12 and b.
12
Suppose 4*w = -20, 15*d = 18*d - 2*w - 586. What is the lowest common multiple of 288 and d?
576
Calculate the common denominator of -51/22 and 7 + 54/(-180)*2425/84.
616
Suppose 0 = -91*j + 101*j - 400. What is the lowest common multiple of j and 45?
360
Let h(a) = -a**2 + 5*a + 24. What is the lowest common multiple of 8 and h(7)?
40
Suppose 5*c = 9 + 6. Suppose 3*q = -3*m + c, 2*m - 4*q - 24 = -m. Suppose 2*f = 11 - 3. Calculate the lowest common multiple of f and m.
4
What is the least common multiple of (2832/(-413))/(2/(-21)) and 32?
288
Let t(m) = -m**3 - 20*m**2 + 6. Let l be t(-20). Suppose l*c - 3*c = 27. What is the least common multiple of c and 32?
288
Let i = -82 + 386. Calculate the smallest common multiple of 2 and i.
304
Let w = 41035/214 + 5400223/5778. Let c = w + -1125. Calculate the common denominator of c and -113/18.
54
Let h(j) = 2*j**2 + 17*j - 23. Let s be h(-11). Let g = -681/19 - -51/38. What is the common denominator of (-9)/(-20)*(24/(-6) + s) and g?
10
Let a(h) = 29*h - 14*h - 23 - 8*h - 4*h. Find the common denominator of a(12) and (-76)/15 - (-4)/10.
3
Calculate the common denominator of (-1010)/12*(-2)/(-10) and (2/11)/1 - (-1)/(792/(-4830)).
12
Let r(n) = n**2 + 5*n - 1. Let a be r(-6). Suppose 8*w - 12 = a*w. What is the common denominator of ((-1)/w)/((-8)/(-80)) and 74/3?
6
Suppose -5*q + 31 = -3*c, -c - 7 = 2*q - 7*q. Let r be ((-3)/(-62))/(c/3152). Let s = 3793/496 + r. What is the common denominator of 73/10 and s?
80
Let m be (-3 + 2)/(1/2). Calculate the common denominator of (-27)/5 + m + 1 and ((-26)/21)/((-13)/(-78)).
35
Let s be 1 + 8088/(-2031) + 3. Let g = s - 49613/10832. Calculate the common denominator of g and -91/2.
16
Let n be (-362)/(-30) + 2 - 3. Let u = n + -109/60. Let v = 2/3001 - 81035/12004. Calculate the common denominator of v and u.
4
Let w = -2892/5 - -68713/120. Calculate the common denominator of w and 187/30.
120
What is the common denominator of 2*13/(-117) - 212/450 and -107/10?
150
Suppose 4*o - 2532 - 348 = 0. Calculate the lowest common multiple of o and 8.
720
Let y(j) = 3*j**2 + 30*j - 73. Calculate the smallest common multiple of 4 and y(3).
44
Let o = -5124 + 71819/14. Let a = -11223 + 213352/19. Let i = 1217/380 - a. Calculate the common denominator of i and o.
140
Let t(n) = 2*n. Suppose -25*r - 4 = -23*r. Let g be t(r). What is the least common multiple of (g/(-14))/(13/91) and 5?
10
Suppose -y + 2*d = -3*d - 74, -2*d - 83 = -y. Let v = -71 + y. Suppose -4*g = -5*u + 98, 2*u = 3*g - g + 40. Calculate the smallest common multiple of u and v.
18
Let n = 0 + -9. Let y(o) = -2*o - 8. Calculate the smallest common multiple of y(n) and (-9)/(-3)*(0 - -2).
30
Let f(a) = 196*a - 1190. Find the common denominator of f(6) and (9/(-4))/(30/44).
10
Calculate the common denominator of 1 - (7 - (-740)/(-184)) and 55/8.
184
Suppose 4*u + 36 = -16. Let j be u/13*(14 + -1). Let y = j - -33. What is the smallest common multiple of y and 14?
140
Let d = -29/11850 - 1/237. Find the common denominator of 103/300 and d.
300
Let j = 214959/44 + -4887. What is the common denominator of 9/10 and j?
220
Let v = 331 + -323. What is the smallest common multiple of v and (-1)/1*(-1 + -1)?
8
Let m = 319/4 + -20081/252. Calcula