 the common denominator of (1197/108 - 9)*z and -91/402.
402
Suppose 0 = -174*h - 3569 + 60293. Calculate the least common multiple of h and 18.
2934
Let s = -2941 - -2996. Suppose -16*z = -10*z - 60. Calculate the lowest common multiple of s and z.
110
Let y(x) = 10*x**2 + 14*x - 40. Let w be y(4). Let c = 184 - w. What is the least common multiple of 18 and c?
72
Let s = 1617069 + -4628051597/2862. What is the common denominator of 59/1060 and s?
28620
Find the common denominator of -67/1836 and 1085/(-35)*2/(-324).
5508
Calculate the common denominator of 139/522 and (-8)/32 + 5/5510*(-1780)/(-8).
9918
Let j = -1684 - -2152. What is the least common multiple of 156 and j?
468
Calculate the lowest common multiple of (-11154)/(-52)*42/9 and 8.
8008
Suppose 260*w - 265*w + 85 = 0. What is the least common multiple of 60 and (-12)/(w/(340/48) + -3)?
60
Suppose 0 = z + 2*z - 12. Let a be (84/(-105))/((-2)/5). Suppose 51 = a*d + v, -5*d + v = -10*d + 123. What is the least common multiple of z and d?
24
Let f = 13617269/252 + -54037. What is the common denominator of f and 85/684?
4788
Let f = 5364 - -306. Calculate the least common multiple of f and 567.
5670
Suppose -5*o = 3*o - 2*o. Let f(p) = 2*p**2 + p + 33. What is the smallest common multiple of f(o) and 12?
132
Suppose 3*x - 140 = 5*x. Find the common denominator of (-2)/(-3)*89/12 and -2 - 21/x - 5.
90
Let z(o) = -2*o**2 + 4. Let r be z(-3). Let y = 19 + r. Suppose 0 = y*u + j - 6*j - 90, 2*j - 48 = -4*u. Calculate the smallest common multiple of u and 10.
70
Let d = -134 - -136. Let h(g) = g**3 + 8*g**2 + 3*g - 2. What is the smallest common multiple of h(-5) and d?
58
Calculate the smallest common multiple of 504 and -2*(-2970)/(-20)*(-3)/3.
16632
Let w = -2351 + 1147355/488. What is the common denominator of -75/14 and w?
3416
Let q = 1644/67 - 409985/16482. What is the common denominator of q and 61/410?
1230
What is the common denominator of -7/148 and (11 + 24276/(-2220))/(88/(-60))?
1628
Let r = -6450 + 38789/6. Calculate the common denominator of r and -81/724.
2172
Suppose 3*k - 4 = 2*j, 5*k = -j - 4*j - 10. Calculate the common denominator of 61/42 and (j/36)/((-12)/(-531)).
168
Let o(p) = p**3 - p**2 - p + 188. Let c be o(0). Suppose 50 = -2*w + c. Suppose 7*y + 27 = w. Calculate the smallest common multiple of 8 and y.
24
Suppose -340 = -o - 4*w + 696, 4*w + 2084 = 2*o. Calculate the lowest common multiple of 104 and o.
1040
Let v be (2852/72 - 1)*4265/25. Let r = v - 6595. Find the common denominator of r and 91/18.
18
Suppose 0*o = 4*u - 5*o + 20, o = 3*u + 15. What is the least common multiple of 18 and (-1 + 85)*u/(-5)?
252
Let p = -22561 - -22869. What is the smallest common multiple of 22 and p?
308
Let c be 4/20611*(-11)/66. Let m = c - -7433704/103055. Let u = -12592/165 + m. Calculate the common denominator of 47/4 and u.
44
Let i(n) = -4*n**2 + n + 18. Let k be i(4). Calculate the smallest common multiple of (-11 + 6)*k/30 and 9.
63
Let p = 147306/11 + -60102509/4488. What is the common denominator of 41/816 and p?
816
Let j(k) = -157*k**2 + 309*k**2 - 153*k**2 + 10*k - 21. Calculate the smallest common multiple of 22 and j(6).
66
Let m be (-30)/(-7) - 4/14. Suppose 4*h = -5*s + s + 628, m*h - 20 = 0. Find the common denominator of s/(-132)*(-15)/4 and 11/2.
22
Let r(f) = 2*f**3 + 9*f**2 - 3*f - 14. Let z(b) = -4*b**3 - 19*b**2 + 7*b + 27. Let h(w) = 7*r(w) + 4*z(w). What is the lowest common multiple of 5 and h(-7)?
10
Let o = -1079/11 + 16195/154. What is the common denominator of (-52)/(-6)*3/8 and o?
28
Calculate the smallest common multiple of 3369 and (16 - (-2856)/(-170))*(90/4)/(-1).
20214
Let j(b) = -15 - 1566*b**2 + 11*b + 1583*b**2 - 3. Calculate the smallest common multiple of j(2) and 54.
216
Suppose -5*t + 48 = 3. Let h be (t/(-1964))/(180/96). Let c = 40741/4910 - h. What is the common denominator of c and -99/32?
160
Find the common denominator of (34 - (-6)/((-3432)/19370)) + 10/(-2) + 0 and 22/(-82)*(-1)/16.
7216
Let u(f) = f**2 + 2*f - 10. Suppose 4*h = 6*h - 4. Calculate the smallest common multiple of (-10)/((h - 0)/(-2)) and u(-5).
10
Let g(r) = -49*r + 92. Let u be g(4). Calculate the common denominator of (3 - 4) + 38/(-40) and 4/u*-12*(-11)/4.
260
Suppose -1703 = -158*f + 4617. Suppose u + 0*j + 2*j = -2, 27 = 3*u - 5*j. Calculate the smallest common multiple of f and u.
40
Let l = 13806772/5 + -664229671/240. Let p = 6268 + l. What is the common denominator of 10/27 and p?
432
Let x = -26360063/198 - -133132. What is the common denominator of x and 113/60?
1980
Let x(w) = 22*w**2 + 8*w - 2. Let s be x(3). Suppose 7*y + 239 = 5*v + 3*y, 4*y - s = -4*v. Calculate the lowest common multiple of v and 4.
204
Let d = -29/7 - -138/35. Let v = 195039/595 - 32414551/94605. Let z = 1/2226 + v. Find the common denominator of d and z.
30
Calculate the lowest common multiple of 480/27 + -2 + 74/333 and 608.
608
Let k = 638489/3458 - -71/247. Let a(n) = n**3 - 9*n**2 - 16*n + 7. Let o be a(8). Let i = k + o. Find the common denominator of 93/20 and i.
140
Find the common denominator of 19 - 30 - (26763/225)/(-11) and -74/1995.
9975
Suppose 5*l - 2*l + 27 = 0. Find the common denominator of 68/(-168)*l - -1 and 43/20.
140
Let u = -3433085099/2266 - -1515042. What is the common denominator of -13/1648 and u?
18128
Suppose -35*i + 1134 = -14*i. Let d = 18 + -8. Calculate the smallest common multiple of d and (3*(-60)/i)/((-25)/90).
60
What is the common denominator of 2*(-10)/((-7560)/(-246)) and -131/144?
1008
Let w(b) = 4*b**2 - b - 3. Let y = 2852 + -2843. What is the lowest common multiple of y and w(2)?
99
Let s = -645487 + 5783192/9. Let c = s + 2906. Calculate the common denominator of 43/36 and c.
36
Suppose 6*s - 2*v = 8*s - 594, 5*s - 1437 = 3*v. Calculate the least common multiple of s and 24.
2328
Let t = 384/7 - 3589/63. Find the common denominator of 98/392 + 0 + 203/(-20) - 2 and t.
90
Suppose 2*h - 3*h + 59 = 2*a, -a = -h - 34. Suppose -6*k + 175 - a = 0. Calculate the least common multiple of k and 16.
48
Suppose -4*n - 89*x = -86*x - 21, 5*n - 24 = -3*x. What is the lowest common multiple of 20 and -12*4/(-8)*n?
180
Calculate the smallest common multiple of 1 - 5 - 66/(-3) and ((-800)/5)/(-10) + 0.
144
Let a = -1707/20 - -515/6. What is the common denominator of a and (-111)/((-1)/((-2)/9))?
60
Let y(a) = a**2 + 3*a - 2. Suppose 12*q - 8*q = -3*g + 608, 0 = 6*g - 72. What is the lowest common multiple of y(6) and q?
572
Let t = 26950625297617/1618676796 - -3/49050812. Let p = -16648 + t. Let r = 30813 + -554573/18. What is the common denominator of r and p?
198
Suppose 6*g = 142 + 50. Let l(w) = 11*w - g*w**2 + 14*w**2 + 17*w**2 - 6. What is the lowest common multiple of 1 and l(10)?
4
Let g = 8063953 - 121057888/15. Suppose -2*q + 13129 = -4*q + 3*f, q + 6575 = -2*f. Let i = g - q. Find the common denominator of 74/3 and i.
15
Let s = -9912 - -475763/48. Find the common denominator of s and 235/(-84) + 1/(-4).
336
Let j = 20765/38 + -1044479/152. Let a = j - -6335. What is the common denominator of -23/15 and a?
120
Let b(k) = -k**2 + 21*k + 219. Calculate the lowest common multiple of b(-7) and 35.
805
Calculate the lowest common multiple of 2634 and ((-3)/(-18))/((-2)/(-192)).
21072
Let l = -134724774/475 + 283631. Find the common denominator of -41/760 and l.
3800
Suppose 2*c + 48 = 5*y, -2*c = -7 + 5. Calculate the lowest common multiple of 4850 and y.
4850
Let j be (-28971)/(-1512) + (-4)/(-6). Let t = j - 156/7. What is the common denominator of 117/20 and t?
120
Suppose -87*y + 480 = -95*y. Calculate the lowest common multiple of 24 and -1 - y/52 - 542/(-26).
168
Let h be (-3)/8 - 155580/(-160). Suppose 5*k - 970 = -5*t, -2*k - 4*t = 3*k - h. Calculate the least common multiple of k and 6.
588
Let h = -670 - -796. What is the least common multiple of h and 364?
3276
Suppose 37 = 2*b - 5. Let v(s) = 2*s - 12. Calculate the lowest common multiple of b and v(12).
84
Suppose -59 = -6*a + 1501. Calculate the least common multiple of a and 520.
520
Calculate the least common multiple of 3360 and (-35)/3*(-858)/715.
3360
Let h = 364 - 381. Let n = 14 + 6. What is the least common multiple of (-175)/(-42) - ((-34)/12)/h and n?
20
Let 