(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

can cycles a and b create cycle d?

let cycle a = 123

cycle b=12345

cycle d = 12

i.e. can some combination of a and b = d

2. Relevant equations

only working in S5

3. The attempt at a solution

I have tried various different permutations, 23 over all, things like aba, ab(a^-1), bab, (b^2)a(b^2)

things like this. I am not sure if a solution exists but I have been trying differnt guesses for hours. I don't want to try 120 times to get it.

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# Permutations in S5

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