If you are actually trying to find a solution for a certain problem, then you can use: "Figure out a solution." But, if you are in a conversation with someone and you are curious about something, and wanting to ask a question but don't know how. Someone may say: "try to figure out a something (a question) to ask your teacher... If trying to figure out an idea. You may also use: "Try to figure out something before you run out of time." Solving a probem?: Figure it out!

Figure out a solution to the question. The question will be what you need for solve to figure out.