1. Solve the following equations with respect to x:

a) sr^3 sr^5 x(sr)^(-1)=(r^2 s)^2 in D_6

b) (1 3 4)x(3 2)=(1 2 3 4) in S_4

2. Determine the order of the consecutive elements:

a) x=3 in R,

b) x=4 in Z_12,

c) x=7 in R_20,

d) x=r^2 s in D_7,

e) x=(1 2 5 7)(3 4 6 8 9 10) in S_10

What is the order of the mentioned groups?

3. Find all subgroups of

a) Z_8,b) D_5,c) R_8,

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