solve
to work out an answer
Root
- solv / solut: loosen, solve, settle, or release
Other words with the solv / solut root
- dissolution: breaking apart or dissolving
- irresolute: unable to decide
- resolute: firmly decided
- resolution: a firm decision or settled statement
- resolve: to settle or decide firmly
Solve is the familiar loosen-and-settle word: the knot of a problem comes apart.
The hint helped her solve the question without memorizing a trick.