Synonyms of reason out

verbTo solve or determine by reasoning.

• puzzle outTo figure out; to discover or find a solution to.
• think outTo devise or solve by a process of thought.
• work outTo resolve; to find a solution for.
• decipherTo find a solution to a problem.
• get to the bottom ofTo come to understand, discover the truth about, or solve.
• iron outTo resolve (a dispute); to solve (a problem).
• meliorateTo make better; to improve; to solve a problem.
• resolveTo find a solution to (a problem).
• riddleTo solve, answer, or explicate a riddle or question.
• sleuthTo act as a detective; to try to discover who committed a crime, or, more generally, to solve a mystery.
• solve
• tease out figurativelyTo unravel; (figuratively, by extension) to determine; solve.
• unpuzzleTo solve (a puzzle); to work out.
• unravel figurativelyTo clear (something) from complication or difficulty; to investigate and solve (a mystery, a problem, etc.); to...
• unriddleTo solve (a perplexing problem).
• upsolveTo solve; explain.
• absolve obsoleteTo resolve; to explain; to solve.
• ravel archaicOften followed by out: to undo the intricacies of (a problem, etc.); to clarify, to disentangle.
• unsolve obsoleteTo solve.