. Let f = u - -2/16671. Find the common denominator of 48 and f.
10
Suppose -6 = 3*y, -5*f + 5 = -3*y - 1. Let m be -3*(f - -1) + 15. Calculate the common denominator of 1/20 and (-116)/m*6/16.
40
Let h be (4/1 - 2)/(-12 - -14). Suppose -3*j + 23 = -h. Let q = -24 + 35. Calculate the smallest common multiple of j and q.
88
Find the common denominator of -103/138 and (-103)/(-22) + (-27)/3.
1518
Let f = 10 - 12. Let x = 73/3 + -27. What is the common denominator of x and 256/(-140) - f/5?
21
Let v = -52 - 188. Let b = v + 122. What is the common denominator of b/(-5)*1/4 and -49/10?
10
Let t = 376 + -370. What is the smallest common multiple of t and 27?
54
Let i = -87/490 + 204601/1157870. Let z be ((-58)/4726)/(36/(-59154)). Let n = z - i. What is the common denominator of -117/20 and n?
60
Suppose -295*h + 672 = -289*h. Calculate the least common multiple of 56 and h.
112
Let y = 81 - 75. Let g be 17/4 - 1/4. Suppose 4*i - 70 = -2*w + g*w, -2*w + 10 = 0. What is the least common multiple of y and i?
60
Let b = -1/186 + -2879/744. Let m = -515/3 + 4309/24. What is the common denominator of b and m?
8
Let m(y) = -4*y - 3 - 3*y + 90 - 7. Calculate the smallest common multiple of m(11) and 57.
57
Let p = 20984 + -251959/12. Calculate the common denominator of p and 71/2.
12
Let p be (-1)/(-470)*(-6638)/4. Let b = -6313/2162 - -103/46. Let x = p - b. Calculate the common denominator of -25/16 and x.
80
Suppose -4*c - 2 - 2 = 0, 26 = 2*a - 2*c. Calculate the least common multiple of a and 54.
108
Let j be (-8)/20*-5 - -43. Suppose -h - h + 1 = 3*k, 5*h - k = j. Suppose -h = -m - 3, -4*o - 1 = -5*m. What is the lowest common multiple of o and 8?
24
Let a = 19859/90 + -1098/5. Let x = -318/131 - -15773/2882. Calculate the common denominator of a and x.
198
Let j = -47 - -65. Calculate the lowest common multiple of j and 258/21 - 2/7.
36
Suppose -132 = 35*r - 57*r. Calculate the smallest common multiple of 58 and r.
174
Find the common denominator of (-2284)/206 + 200 + -189 and -14.
103
Let v(o) = 2*o**2 + 16*o + 3. Let p be v(-8). Let n = 4 - p. What is the lowest common multiple of n and 8?
8
Let x(a) = a**3 - 7*a**2 + 7*a - 5. Let n be x(5). Let h be 5/n + (-2)/(-8). Calculate the common denominator of h + -5*34/(-44) and -43/4.
44
Let o = 1557 - 3031/2. What is the common denominator of o and 47/7?
14
Suppose -9 = 5*h + 11, -25 = -3*w - 2*h. Suppose -13*t = -8*t - 25. Suppose -2*f + f = -3, t*s = f + 2. Calculate the smallest common multiple of s and w.
11
What is the common denominator of 5 + 1 + -9 + (-21)/(-72) and -58/5?
120
Calculate the least common multiple of (6 + (-17)/3 - 50/15)*-1 and (-9)/(-2)*(-14)/(-3).
21
Let u = -14237/22 - -647. Calculate the common denominator of u and (-96)/(-16) + -6 + 162/(-32).
176
Suppose 3*f + 4*t + 24 + 63 = 0, -63 = 3*f - 4*t. Let z = -16 - f. Suppose -2*x - 8 = -30. Calculate the least common multiple of z and x.
99
Let i(d) = 211*d**2 + 10*d - 31. Let q be i(4). Let a be 40514/(-6)*2/4. Let z = a + q. Calculate the common denominator of 59/7 and z.
42
Let j = 9/23 + -67/759. Calculate the common denominator of 61/44 and j.
132
Calculate the common denominator of (-77)/(-168)*-2*(-10)/(-6) and -31/108.
108
Find the common denominator of 63 - 67 - (266/(-20) - 0) and 33/38.
190
Let x be (1/2)/(4/192). Let g = -17 + x. Suppose 2*r = 10, 65 = 5*w + 2*r - 0*r. Calculate the smallest common multiple of g and w.
77
Let w = 250 - 247. What is the lowest common multiple of 30 and w?
30
Let u = 343016/5 + -412391/6. Let y = -679/5 - u. Calculate the common denominator of 35/3 and y.
6
What is the common denominator of 151/162 and ((-9)/((-486)/(-129)))/(4/(-6))?
324
What is the common denominator of -5/18 and ((-5508)/19550)/(4*(-2)/(-10))?
2070
Suppose 67060 = 61*x + 16186. Calculate the least common multiple of x and 18.
2502
Let a = -1045988260888/2705 + 386686963. Let h be (1084/1082)/(-1) + 2/2. Let f = a - h. Find the common denominator of f and 67/10.
10
What is the common denominator of 654*(-10)/(-5600) + 6/16 and 107/20?
140
Suppose -5 = -7*v + 2*v. Suppose -4*f + 67 = -4*s + 27, 2*s + 6 = 0. What is the lowest common multiple of v and f?
7
Suppose 0 = -3*w + 2 + 4. Suppose -3*s + w*s = -6. Let r = 16 - s. Calculate the lowest common multiple of 8 and r.
40
Calculate the smallest common multiple of 15 and 1/((-6)/(-168)) + 11.
195
Let h(n) = 2*n**2 + 26*n + 19. Let d be h(-11). Calculate the common denominator of -27/14 and 15/d - 1174/60 - 3.
42
Let k = 493 - 486. Calculate the lowest common multiple of 189 and k.
189
Let a = 343 + 229. Calculate the smallest common multiple of 2 and a.
572
Let l = 14663/4 - 3641. Let x = 3769/15 + -716/3. Find the common denominator of x and l.
20
Let g be (25/(-142))/((-2)/5751514). Let r = g - 506293. Let x = -1/284 - r. Calculate the common denominator of x and -89/2.
4
Let h be (-1 - 0) + 23374/240. Let i = -51317/5 + 10362. Let j = h - i. What is the common denominator of 59/14 and j?
168
Suppose -27*g = -17*g - 120. Let r = 105 + -75. What is the lowest common multiple of r and g?
60
Let n(a) = a - 11. Let r be n(17). Calculate the common denominator of -37/16 and (-1245)/(-462) - r/21.
176
Let v be (-9)/15 + -3*9/5. Let y(i) = -2*i - 6. What is the lowest common multiple of ((-1)/1)/(1/(-7)) and y(v)?
42
Suppose 2*w - 2*h = -w - 1, -10 = -5*w + h. Suppose -4*f + 15 = w. What is the common denominator of -2 + f/8*-2 and 20/7?
28
Let x = 106 - 186. What is the common denominator of x/(-600) - (-386)/(-45) and -8/89?
801
Let v = -261 + 983/4. Find the common denominator of v and -73/100.
100
Let h = -9 - -1. Suppose 6*o + 52 = 10*o. Let x = h + o. Calculate the least common multiple of x and 10.
10
Calculate the common denominator of 47/30 and -2 + 735/54 + -4.
90
Let h = -19 - -10. Let z = 19 - h. What is the least common multiple of 2 and z?
28
Let q be (-2*15)/(24/16). Let t = -18 - q. Let o = -7 + 21. What is the lowest common multiple of t and o?
14
Let q(k) = -k**3 - 48*k**2 + 151*k - 51. Calculate the smallest common multiple of q(-51) and 660.
11220
Suppose -2*l + 6*l = 0. Suppose l = 5*q - 2*q - w - 1141, 3*q - 4*w - 1135 = 0. Calculate the common denominator of 25/14 and 3 + (-4)/(168/q).
14
Let o = -10 + 28. Calculate the least common multiple of 9 and o.
18
Let i = 8/531 - 31/13806. Calculate the common denominator of -32/93 and i.
2418
What is the common denominator of 3/(-30)*(-730)/(-4) and (8/132)/((-144)/(-1746))?
132
Let s = -1122 + 1131. What is the smallest common multiple of 90 and s?
90
Let d(n) = -4*n + 126. What is the least common multiple of 34 and d(22)?
646
Calculate the least common multiple of (-174)/(-9) + 2/3 and 10.
20
What is the common denominator of 115/24 and (3036/(-1170) - -1) + 2?
1560
Let v be 90110/(-110)*3/720. Let t = v + -4/165. What is the common denominator of t and 101/22?
176
Suppose 71*v = 66*v + 10790. Let l = v + -21547/10. What is the common denominator of l and -41/22?
110
Suppose v - 6 = 2*v. Let g be (9/v)/((-1)/(-14)). Calculate the common denominator of -17/16 and (162/(-24))/(g/(-2)).
112
Let a(s) = -17*s**2 + 346*s - 20. Calculate the least common multiple of 2 and a(14).
1492
Let p(m) = m**2 + m - 2. Suppose 0*x - 4*x - 20 = 0. Let b be p(x). Calculate the lowest common multiple of 3/(b/8)*15 and 22.
220
Let v = 2274205/42 - 54145. Calculate the common denominator of v and -63/22.
462
Let c = -11 - -31. What is the smallest common multiple of c and (-6)/(-4) + 41/2?
220
Let o = -3 - -7. Find the common denominator of 7/(-14)*o/7 and ((-107)/3)/((-98)/21).
14
Calculate the least common multiple of 90 and 10 + -8*(7 + -8).
90
Suppose 1 - 7 = l. Suppose -15*s + 7*s = -528. Calculate the common denominator of 133/18 and (-273)/6*l/s.
198
Let c = 570 - 556. Let t be 3/3 + 2 + -2. What is the lowest common multiple of t/(-3)*2*-30 and c?
140
Suppose o - 29 = s, 3*o - 4*s = 78 + 12. Calculate the lowest common multiple of o and 4/22 + ((-36)/(-44) - -5).
78
Suppose -2*t - 141 = t - 3*a, 0 = t - 4*a + 35. Let d = -7 - t. Calculate the lowest common multiple of d and 3.
132
Let c(i) = i**3 + 7*i**2 + 4*i - 9. Let q be c(-6). Suppose q*o - 6 - 6 = 0. Calculate the lowest common multiple of 12 and o.
12
Find