I have a question about the gcd(a,m) in this type problem.

for example....

7x^20 = = 34(mod 37) [using indices]

I (7x^20) = I(34) (mod 36)

...

...

..

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20x = 27(mod 36) here I would take the gcd (20,36) = 4 divided by 27/\ therefore there are no solutions???

Is this accurate?