The phrase seems to express preference for the positive outcome, which in turn can be taken to mean that you'd be seeking a way of bringing it about. This seems to require some actual help with the problem or giving incentive for it to get solved. For a sufficiently hard problem, that might take the form of donating money to the problem-solving effort or setting up a prize for success.
Is there any rationalist equivalent of "good luck"? I've tried a few variants, such as "work well", "knock them dead", "we're with you" and certain situation-specific phrasings, but haven't found anything that worked generally - though a hearty "may all the gods of Olympus be with you!" can serve. Not a vitally important point, but it would be nice to have something similarly supportive and yet accurate to say.