Of course, if a really powerfull being was trying to mess with your head, it might be easier to just put all of humanity in a 'Matrix' type setting. Then it wouldn't have to move the earth. Just change our perceptions. Any physical constant could be manipulated.
Personally, I'd make it a bit more difficult. I would ask it to imbed in some combination of pi, e, and phi a message that contained all the languages that ever existed. If it could mess with logic, then I would be impressed. Of course, doing such a thing might be a logical impossibility, so maybe I'm asking too much.
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