/120. Let w = d + h. Find the common denominator of w and -99/82.
410
Suppose 0 = -j + d + 12, -34*j = -31*j + 3*d - 36. What is the least common multiple of j and 554?
3324
Let d be (-222)/(-8)*(-876)/18. Let o = d + 1319. Let j = -3255673/68 + 47879. Find the common denominator of o and j.
68
Let k = 34/7 + -115/21. Calculate the common denominator of k and (2/4 + (-145)/(-58))/(207/(-92)).
21
Let h = 84 - 70. Calculate the lowest common multiple of 48 and (44/(-8))/((-7)/h).
528
Let q = -4953/8 - -616. Calculate the common denominator of -5/2364 and q.
4728
Let w = -485 + 720. Find the common denominator of ((-4559)/w)/(-1 - (-493)/(-5)) and 67/16.
3984
Let h = -125407673/1218 - -102962. Find the common denominator of -13/210 and h.
6090
Let o be (32/48)/((-4)/3756). Let d = -601 - o. What is the lowest common multiple of d and 30?
150
What is the common denominator of (849/(-285) - -3)*(12 + 4485/(-270)) and -103/1140?
3420
Let o = 9 - -40. Suppose -7*c + 6*c - 4*u + 28 = 0, -5*u + o = 3*c. Calculate the lowest common multiple of c and 2.
8
Suppose 1781 + 2389 + 69036 = 249*v. Calculate the least common multiple of 24 and v.
1176
Suppose 25 + 25 = m. Let t(g) = -g**3 + 18*g**2 - 58*g + 757. Calculate the least common multiple of t(17) and m.
300
Let f be (-294)/(-18) - (-2)/(-6). Let z = -2 + f. Suppose -x = -4*q - 22, 6*q = 5*x + 11*q - 10. Calculate the least common multiple of x and z.
42
Let v = -970/91 - 64/455. What is the common denominator of 126/20*(-1)/10 and v?
100
Let s = 163215711391697849508419/11156104 - 14630171195221759. Let m = s - -40/60631. Let d = -15/184 - m. Calculate the common denominator of -73/4 and d.
4
Let a = -366 - -372. Suppose 150 + 48 = a*y. What is the lowest common multiple of 9 and y?
99
Suppose 2*d + 3*v = -v + 12, 6 = 3*v. Let a be 1 + 4/d + (-14)/14. What is the smallest common multiple of 1 - (a - 3)*1 and 90?
90
Let p = 5623 + -5546. Suppose 305 = -5*x - 5*u, 4*x - 6*u = -2*u - 228. Let c = p + x. What is the smallest common multiple of c and 12?
36
Suppose 2*d + 28 = 70. Suppose d*g = 18*g + 105. Let s = -105/2 + g. Find the common denominator of s and -47/2.
2
Let t(v) = -13*v - 11. Let g be t(-1). What is the common denominator of g/(-7) - 201/42 and 8/7?
14
Let y = 16 - 20. Let h(r) = -r**3 + 12*r**2 - 22*r + 20. Let m be h(10). What is the lowest common multiple of (12 + y)*((m - -3) + -2) and 7?
56
Suppose 22*l + 52 = 1746. Calculate the smallest common multiple of l and 203.
2233
Let d = -18486/19 - -3658309/3762. What is the common denominator of d and 28/75?
4950
Suppose -555 = -n + w, 24*n + 3*w - 2199 = 20*n. What is the lowest common multiple of 75 and n?
13800
Suppose -139 = -5*a - 2*g + 5*g, -5*a = -g - 143. Let v be ((-35)/(-4))/((-6)/(-24)). Let k = v - a. What is the lowest common multiple of k and 22?
66
Let m be -6*10/(-15)*-1. Let n be 125448/66*(-1)/m. Let o = n + -477. Calculate the common denominator of o and 38/5.
55
Suppose y - 625 + 254 = -5*j, 0 = 5*j - 17*y - 443. Calculate the smallest common multiple of j and 1650.
1650
Suppose -y - d - 11 - 59 = 0, 2*y = 5*d - 147. Let n = -5595 - -22435/4. Calculate the common denominator of n and y/(-190) + 10/(-50).
380
Calculate the least common multiple of 20/((-8 - -5 - 7)/(-4)) and 2.
8
Let q be 46/14 + 8/(-28). Suppose 3*b = -5*j + 142, 3*b + q*j + 0*j = 138. Suppose -4053 = -370*p + 387. Calculate the lowest common multiple of p and b.
132
Suppose -32*n = 29*n - 366. Let c = 3 - 5. What is the lowest common multiple of n and -8*(7/(-2) + c)?
132
Let q be (-1 + -1)/((-4)/9). Let j = -25/7 - 25/42. Let m = q + j. What is the common denominator of m and 1/12?
12
Let f = 1654 + -1425. Calculate the lowest common multiple of f and 10.
2290
Let t(v) = -2*v**3 + 9*v**2 + v + 1. Let f be t(5). What is the common denominator of 47/6 and (f - -33)*(-7)/108?
54
Let g(a) = 2 + 16*a - 34*a + 0*a + 5*a**2 - 6*a. Calculate the lowest common multiple of g(6) and 6.
114
Let t(y) = -81*y - 78. Let h be t(-1). Let k(c) = -c - 20. Let r be k(0). Calculate the common denominator of -15/58 and (-114)/r - 0 - h.
290
Let c = -7061 - -127055/18. What is the common denominator of c and (4/56*-6)/((-8)/(-60))?
126
Calculate the common denominator of -10/693 and ((-35)/105)/(9163/84).
11781
Suppose y + 17 = 2*x, -y - 2*x = -3*y - 38. Calculate the common denominator of 39/70 and 46/7 - y/21.
70
Find the common denominator of -47/27 and (0 - 18631)*77/240009 - 6/(-1).
28053
Suppose -9090 + 930 = -4*f. What is the common denominator of (3/2 + 0)/((-748)/f) and -99/8?
88
Let f = 711293/2516752 + -597/1954. What is the common denominator of -89/4 and f?
2576
Let u = -7/47 + -5953/7050. Calculate the common denominator of u and -73/1290.
6450
Let f = -1175 - -650. Calculate the common denominator of f/36 + 28/(-16) + 2 and 25/21.
21
Let c = -48 - -83. Let d = c - 30. Suppose v - 3*r - 9 = 0, -57 = -d*v + 3*r - 0*r. Calculate the smallest common multiple of 3 and v.
12
Find the common denominator of (-252)/(-73920)*(-148)/(-24)*3 and 81/968.
19360
Suppose -61*u + 7*u + 1080 = 0. Calculate the lowest common multiple of 10 and u.
20
Suppose 13458*n - 13437*n = 19530. What is the lowest common multiple of 558 and n?
2790
Suppose y + b + 1 = 0, 5*b - 20 = 5*y + 15. Suppose -4*c + 3 = -0*c + 5*x, 0 = 2*x + 2. Find the common denominator of c/7 + (y + 2)*2 and -77/8.
56
Let f = 770520 - 1047907111/1360. Calculate the common denominator of f and -73/28.
9520
Let l be (-19 - (1 + -1)) + 1. Let z(u) = u**3 + 65*u**2 + 128*u + 261. Let t be z(-63). What is the smallest common multiple of 3 and 12*(t/l)/(2/(-1))?
45
Suppose -6*w = -73 - 65. Let d = 45 - w. Calculate the lowest common multiple of d and 2.
22
Calculate the common denominator of (-106)/(-45) + (-5 - -2) and ((-8)/6)/(4/6) + 1666/770.
495
Suppose -6245 - 5221 = 959*h - 972*h. What is the lowest common multiple of 686 and h?
6174
Suppose -124 = 4*c - c + z, 132 = -3*c + 3*z. Let x = c + 50. Calculate the common denominator of (-31)/4 + x + (-90)/56 and 27/14.
14
Suppose 45*z + 850 = 1030. What is the lowest common multiple of z and 47092?
47092
Find the common denominator of -109/42 and (130/570)/((-24)/48).
798
Suppose 5*b = 4*b. Calculate the least common multiple of 3 + b - (-4 - 1) and 42.
168
Suppose 0 = 7*w + 19*w - 2496. Let b = w - 83. Calculate the smallest common multiple of b and -1 - -11*(0 - -1).
130
Let r = 9143/684 + -623/38. What is the common denominator of r and (1 + (-664)/(-144))*(-3)/7?
252
Let v(c) = c - 39. Let u be v(-15). Let w be ((-12)/(-9))/(8/u*-3). Suppose -w - 21 = -2*s. Calculate the least common multiple of s and 14.
84
Let r be (40/6)/(5/45). Let d = r - 449. Let u = -753/2 - d. Find the common denominator of u and 8/29.
58
Let m = -3708 - -3713. What is the lowest common multiple of m and 638?
3190
Suppose 0 = -49*m + 55*m - 66. Suppose -7*n + 9*n - 18 = 0. What is the lowest common multiple of n and m?
99
Let d(z) = -z**3 - 16*z**2 + 6*z - 24. Let v be d(-16). Let l = v - -164. Find the common denominator of 25/38 and (-2)/6*102/l.
418
Let j = -661965/338 - -3917/2. Let b = j - -1571/12168. What is the common denominator of (-16)/(-40) - (-242)/(-180) and b?
72
Let f = 2143309/66 + -32473. Find the common denominator of (-172)/120 - (-5 + 2) and f.
330
Let q be (-11)/55 + 431/5. Suppose -q*r + 91*r = 0. Suppose r = 5*t + 2*s - 26, -5*t + 20 = -s + 6*s. Calculate the least common multiple of 102 and t.
102
Let i = 22554 - 496299/22. Calculate the common denominator of (22/15)/(32/220) and i.
132
Find the common denominator of 567/(-10440) - -9 - 9 and 99/1160.
1160
Let v(k) be the second derivative of k**4/12 + 11*k**3/6 + 27*k**2/2 + 4*k + 4. Calculate the least common multiple of v(-8) and 6.
6
Let q = -620/43 + 78371/5504. Calculate the common denominator of -121/320 and q.
640
Calculate the least common multiple of 25 and (-684)/30*(-21025)/58.
41325
Suppose 4*b = 3*j - 171644, b = -j - 1164 - 41754. Let c = b - -3089921/72. What is the common denominator of 91/60 and c?
360
Suppose 0 = 10*m - 17*m + 14. Calculate the common denominator of 24/5 and (1/m)/(10/25).
20
Let h(z) = -8*z - 7*z - 10*z + 94 - 11*z**2 + 10*z**2 + 6*z**2 - z**3. What is the smallest common m