Formal:
* Solve: This is the most common and general word. It implies finding a solution that completely eliminates the problem.
* Resolve: This is similar to "solve," but it can also imply finding a compromise or reaching an agreement that addresses the problem.
* Address: This focuses on taking action to deal with the problem, even if a complete solution isn't found.
* Tackle: This implies a direct and determined approach to dealing with the problem.
* Analyze: This means to examine the problem in detail to understand its causes and potential solutions.
* Devise: This means to create a plan or solution for the problem.
Informal:
* Figure out: This is a more casual way of saying "solve" or "work out."
* Crack: This implies finding a clever or unexpected solution to the problem.
* Sort out: This means to resolve a problem by making things clear and organized.
* Work through: This suggests a process of gradually overcoming the problem.
The best word to use will depend on the specific context and the nature of the problem.