State tax filing

You live in Oregon so you pay OR state tax.  You might be teaching online to a school in CO but it sounds like you are physically in OR to perform your work. Or do you travel to CO to teach?  If so, then you file a non-resident CO return too, and then an OR return.  Always prepare the non-resident state return first.   That your paycheck is being mailed from CO is irrelevant.

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