60
Let f = -1290 + 2643/2. Let n = -979/124 + 9/62. Find the common denominator of f and n.
4
Let j = 18349/4122 + 62/229. Find the common denominator of j and -47/46.
414
Suppose z + z = 6*z. Suppose z = 8*f - 3*f - 65. Suppose 2*k = -4*r - 0*k + 36, 0 = 2*k - 8. What is the smallest common multiple of r and f?
91
Let f = 3731 + -37197/10. Let d = 1037/20 - 321/10. Find the common denominator of f and d.
20
Let u = 1 - -19. Calculate the common denominator of 2/48*(-954)/(-12) and 90/42*33/u.
112
Suppose 3*t + 1178 - 221 = 3*a, -3*t = 9. What is the least common multiple of a and 14?
2212
Suppose -f + 6*f = 2*h - 3157, 5*f + 4*h + 3151 = 0. Find the common denominator of (-2)/(-11) - f/(-22) and 331/(-42) - (-4)/6.
14
Calculate the common denominator of -71/16 and -3 + 6 - (-9)/((-1296)/(-423)).
16
Let j(x) = x**2 + 11*x + 20. Let i(a) = -a**2 - 12*a + 49. Calculate the smallest common multiple of i(3) and j(-10).
20
Suppose -2635 = -3*j + 12128. Suppose 5*u - 2*u + 2*i + 3689 = 0, 4*u + j = -5*i. What is the common denominator of u/198 + 12/(-66) and -115/6?
18
Suppose 13 + 32 = 9*o. Let q = -3 + 12. Calculate the lowest common multiple of q and o.
45
Let w(c) = 3*c**2 - c**2 + c + 6 + 5. Suppose 3*r - 3 = 3*u, 4*r - 4 = 6*u - 3*u. Calculate the smallest common multiple of w(u) and 9.
99
Calculate the common denominator of -137/144 and 3/(-42) + (-1320)/(-945).
1008
Let d = -2/36885 + -799109/1217205. Find the common denominator of 34/11 and d.
99
What is the common denominator of -97/2 and 9669/(-5580) - (-55)/33?
620
Let m(q) = q**2 - q. Let j(w) = 5*w**2 + 10*w + 3. Let n(o) = j(o) - 3*m(o). Calculate the least common multiple of n(-7) and 10.
10
Let u = 3186/5 + -631. Let j(z) = 3*z. Let g be j(-4). Calculate the common denominator of -3*2/g*-67 and u.
10
Let m = 833798/45 + -18528. Find the common denominator of 38/45 and m.
45
Calculate the common denominator of 2 - (802/(-156) - -7) and 145/18.
234
Let s = -152879/106764 - -475/372. Calculate the common denominator of s and -109/14.
574
Let h = 2/7089 + -281213/56712. What is the common denominator of h and 25/27?
216
Let o = 16149/3377 - -39/307. Let r = 2920304/105 - 83426/3. Let c = r + -3/35. Find the common denominator of c and o.
33
Let g(a) = a**2 - 4*a - 126. Calculate the lowest common multiple of g(14) and 6.
42
Suppose 2*f - 1 = z, -4*z + 2*f - 4 + 6 = 0. Let u be (-1 - 17397)*z/1. Let y = -382685/22 - u. Calculate the common denominator of -67/14 and y.
154
Let l = 97/7 + -1073/84. Calculate the common denominator of l and 25/231 - ((-48)/(-28) + -2).
132
Let k = -27451/251130 - -1/4566. What is the common denominator of k and 73/45?
495
Let w = 4617021 + -82922627/18. Let b = -10214 + w. What is the common denominator of 93/26 and b?
234
Let b be (((-8)/(-6))/(-4))/(8/(-696)). Calculate the smallest common multiple of 12 and (b - 1) + 16/(-5 + 1).
24
Let h(f) = -f**3 - 7*f**2 + 2*f + 3. Let s be h(-8). Let q = -13 + s. Suppose 3*g = -2*g + 4*n + q, g = -4*n - 2. What is the least common multiple of 20 and g?
60
What is the common denominator of ((-192)/21)/((-18)/14) and 17/87?
261
Suppose -3*q + 24 = 3*d, -1 = -4*d + 3*q + 3. Suppose f - 2*i + 1 = -3, -27 = -2*f - 3*i. Calculate the lowest common multiple of f and d.
12
Let i(g) = -g**3 - 8*g**2 - 7*g + 10. Calculate the lowest common multiple of 12 and i(-7).
60
Let z = 206699/195 - 1060. Let s = z + 461/1170. Calculate the common denominator of s and -97/4.
36
Calculate the lowest common multiple of 30 and 21100/1050 + (-2)/21.
60
Let t(k) = -k**3 - k**2 + k + 9. Suppose i - 4 = -5*s, 6 = -4*i - s + 3. What is the lowest common multiple of t(0) and -3 - -5 - 2 - i?
9
Let h = -3811/1320 + 2/165. Find the common denominator of h and -27/104.
104
Let k be (-4)/(-14) - 678/1050. Let s = k + 174/25. Calculate the common denominator of s and 10/15 + (-1)/12*-142.
10
Suppose -8*s + 104 = -10*s. Let a = -49 - s. Calculate the smallest common multiple of a and -1*(-1)/(1/13).
39
Calculate the common denominator of -1/112 and 153/300*10/24.
560
What is the common denominator of (-3625)/(-174) - (2 - -3) and -1/801?
1602
Let d(v) = 2*v**2 + 108*v - 90. Let z(p) = -p**3 - 4*p**2 + 5*p + 2. What is the lowest common multiple of z(-6) and d(-55)?
220
Let q be (-154651)/11 - (171/(-33) + 5). Let x = 225027/16 + q. Find the common denominator of x and -31/32.
32
Let b = -4/1649 + -41093/54417. Let p = 212291/27 - 7864. Calculate the common denominator of b and p.
297
Let y be 1*(-3*15819)/3. Let d = -4690129859/296400 - 1/296400. Let t = d - y. Find the common denominator of -31/2 and t.
20
Let s = -106 + 172. Calculate the smallest common multiple of s and 60.
660
Let t be ((-4)/16)/((-1)/8). Suppose -4*o - 30 = -5*r, -24 = -4*r + t*o - 4*o. What is the least common multiple of r and -3*(-2)/(-3) + 6?
12
Suppose 39*n - 5*y = 35*n + 14, 2*y = -4. What is the lowest common multiple of 38 and n?
38
Let s(o) = 2*o - 30. Let g be s(11). Calculate the lowest common multiple of 3 and (2 + 0/(-1))*(-6 - g).
12
Let a be (-2)/(-5) + 9/15. Suppose -3*v + 5 + a = 0. Let d = 507 + -481. What is the least common multiple of v and d?
26
Let i(j) = 12*j**2 - 5*j - 13. Let y be i(-4). Suppose y = 5*m - 41. Calculate the least common multiple of m and 12.
48
Let d = -3812 + 6046. Let y = -35773/16 + d. Find the common denominator of -117/40 and y.
80
Suppose -6*f + 0*f + 672 = 0. Let v = 1224/11 - f. Calculate the common denominator of v and 7/9.
99
Let n(i) = -i**3 - 6*i**2 + 8*i + 8. Let x be n(-7). What is the lowest common multiple of 7 and 4 - -4 - (-3 - x)?
84
Let p = 7 - -3. Find the common denominator of -79/22 and (-574)/48 + 2/(-4 + p).
88
Let s = -57 - 45. What is the common denominator of (-65)/26*s/40 and 111/22?
88
Suppose 0 = 2*y - 3*z + z + 2, 0 = y + 4*z - 14. Calculate the common denominator of (-175)/30 + (1 - y - -2) and -20/9.
18
Let k be 2 - -58549*3/(-48)*2. Let v = k - -7307. Find the common denominator of v and -62/5.
40
Suppose 0 = g - 4*h - 11, 3*g + 2*h = 8*g - 19. Let c be 3890/(-1298) - (g + -6). Let t = c - 62957/1298. Find the common denominator of -13/23 and t.
46
Let i be 5/(-80)*-4 - (-91842)/1144. Let o = 929/11 - i. Calculate the common denominator of -35/3 and o.
39
What is the least common multiple of -20*(-10)/450*(-9)/(-2) and 130?
130
Let q = -10 - -18. Let p = -6 + q. Let z = 2 + p. Calculate the least common multiple of z and 16.
16
Let t = 28979/28140 + 72/469. What is the common denominator of t and -1/12?
60
Let n = 444 + -436. Suppose 3*i + 5 = -l - i, 5*i = 0. Let d = 16 + l. What is the smallest common multiple of d and n?
88
Let y = -176 + 211. Calculate the least common multiple of 45 and y.
315
Let v be 2 - ((-3591)/(-30) - 1). Let r = -471/5 - v. Find the common denominator of r and -71/4.
4
Let k be 774/3*(-13)/(-39). Suppose 31 = -5*p + k. Calculate the lowest common multiple of 2 and p.
22
Let a = -24482 - -1028315/42. Calculate the common denominator of -41/63 and a.
126
Find the common denominator of ((-45)/24 - -2)/((-81)/2943) and -35/12.
24
Let s(l) = -l**2 - 22*l - 10. Let p be s(-11). Let a = p + -84. What is the least common multiple of a and 4?
108
Let l be 23715/5949 - (-4)/(-1). Let a = 33531/13220 - l. Let r = 923/8 - 127. Find the common denominator of a and r.
40
Suppose 4*h = -8, -2*z = h + 2*h - 22. Calculate the least common multiple of 1 and 4/z + (-1050)/(-98).
11
Let q = 74 + -73. Calculate the common denominator of 56/9 and 4/(-60)*93 - (-1 - q).
45
Suppose 4*s = 0, 3*r - 15 = -0*s + s. Suppose 8*o - 3*o = c - 1420, 5*c = 4*o + 7100. Find the common denominator of ((-1)/r)/((-56)/c) and -19/12.
84
Let h be (-8)/(-3)*6/4. Find the common denominator of (-355)/12*33/(-110) and h/22*(-237)/(-12).
88
Let t = -3/3499 + 304473/69980. Find the common denominator of 37/(-54)*(-19)/(-38) and t.
540
Suppose 2*r = -4*z - 3*r - 33, -5*r = 5*z + 45. Let w = 6 - z. What is the lowest common multiple of w and 10?
90
Let q be 93/6 - (-2)/(-4). Calculate the common denominator of 87/20 + (q/(-5) - -1) and -37/10.
20
Suppose -5*c + c = 0. Suppose c*f - 4 = f. Let x = f + 10. Calculate the least common multiple of x and 5.
30
Let v(r) = -3*r + 17. Let b be v(9). Let h = b - -22. What is t