Difference between Puzzle Out and Solve

PUZZLE OUT vs SOLVE: NOUN

Find the solution to (a problem or question) or understand the meaning of
Find the solution
Settle, as of a debt
To find an answer or solution to a problem or question; to work out.
To find the values of variables that satisfy a system of equations and/or inequalities.
To algebraically manipulate an equation or inequality into a form that isolates a chosen variable on one side, so that the other side consists of an expression that may be used to generate solutions.

To solve an equation.
To find an answer to, explanation for, or way of dealing with (a problem, for example).

To explain; to resolve; to unfold; to clear up (what is obscure or difficult to be understood); to work out to a result or conclusion.

To dissolve; melt.
To determine or work out by rule; operate on by calculation or mathematical processes, so as to bring out the required result: as, to solve a problem in mathematics.
To determine; put an end to; settle.
To loosen; disentangle; unravel; hence, to explain or clear up the difficulties in; resolve; explain; make clear; remove perplexity from: as, to solve a difficulty, a puzzle, or a problem.

Prediscover, Underget, Unwonder, Think over, Happen on, Get at, Come across, Ferret out, Find oneself, Dope out, Uncipher, Figure out, Lick, Work, Solve

Solution, Address, Confront, Rectify, Overcome, Resolved, Fix, Unsolvable, Resolving, Alleviate, Puzzle out, Figure out, Lick, Work, Resolve

Prediscover, Underget, Unwonder, Think over, Happen on, Get at, Come across, Ferret out, Find oneself, Dope out, Uncipher, Figure out, Lick, Work, Solve

Remedy, Surmount, Solution, Address, Confront, Rectify, Overcome, Resolved, Fix, Unsolvable, Resolving, Puzzle out, Figure out, Lick, Work

Doe identifiers made it uniquely complex for defendants to puzzle out which specific individuals were allegedly illegally recorded and when.
Europe, US, and ROTW to set up in exactly the same way once I figure this puzzle out.
JSFiddle, and puzzle out root causes when something we coded renders something surprising.
Takes time to study notes and photos to puzzle out what is significant.
Farmer, was willing to puzzle out the social meanings of the syndrome.
Smith, has to puzzle out the meaning of the spectacle.
Amazon leaders are encouraged to let team members puzzle out problems on their own.
Better information will take the puzzle out of dealing with government.
These cookies puzzle out not pile up several certain information.
Write in a place that they have to puzzle out.

Solve advanced problems in Physics, Mathematics and Engineering.
How are we going to solve this problem?
Can Some one help me solve this problem?
That just seems like another problem to solve.
What you would do to solve the problem?
Does anyone know how to solve this issue?
Good fiscal policy rules are able to solve the biasesproblem they are set to solve, they are clear and transparent.
The goal of this endeavor is to address an engineering problem that you believe you can solve or begin to solve.
How do they solve the problems that you are trying to solve with your app idea?
EU solve other security crises when it cannot solve its own?