I think that math students, math teachers, and mathematicians should be expected to show some effort toward solving a problem before posting it here. It's less clear to me that this should be expected of other people who come to this site looking for help applying mathematics to a different sort of problem. In my own view, there could probably be other reasonable ways to satisfy the context requirement. Some elements that seem important:
A realistic problem. This is always a bit of a "smell test", but truly realistic problems are rarely found in math textbooks.
A clear, thorough, and believable description of the problem context. "I'm writing a shoot-'em-up game and I really need to know the solutions to $x^5+x\equiv 5\pmod 7$ to make an optimization work, but I can't explain why because it's a trade secret" just doesn't cut it.
A big plus would be a problem involving applying a form of mathematics to a field that rarely uses that form. If someone comes in with a question about applying lattice theory to economics, that's a more valuable question, I think, than one about applying statistics to economics.