Solve

v.capable, thoughtfulprofessional

What it means

To find an effective answer to a problem.

Reach for it when describing successful discovery of an answer to a problem, question, or puzzle

The students used careful measurements to solve the design flaw.

playful
crack
when overcoming a difficult puzzle suits lively prose
not when Crack is informal and can imply unauthorized access.
playful
fix
when correcting a practical fault suits an informal tone
not when A fix may be temporary and rarely names an abstract puzzle's answer.
everyday
answer
when responding correctly to a question is enough
not when An answer may not show the problem was solved.
everyday
work out
when reasoning to an answer suits conversation
not when Work out is conversational and can also mean exercise.
warm
untangle
when separating interacting difficulties is central
not when Untangling may clarify without fully solving.
professional
decipher
when interpreting code, script, or obscured meaning is precise
not when Decipher is too narrow for most problems.
professional
remedy
when correcting harm or deficiency is central
not when A remedy may alleviate rather than solve.
professional
resolve
when settling a dispute or uncertainty matters
not when Resolve does not always produce a technically correct answer.
formal
determine
when inquiry establishes a fact
not when Determine can identify the issue without fixing it.

solve a problem
The trainees learned to solve a problem before replacing parts.
solve together
The two teams chose to solve together what neither could fund alone.
solve the puzzle
One overlooked date helped solve the puzzle.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.