What does solvable mean?

Looking for the meaning or definition of the word solvable? Here's what it means.

Adjective
  1. Capable of being solved.
  2. (archaic) Capable of being dissolved or liquefied.
  3. (obsolete) Capable of being paid and discharged.
  4. (obsolete) Able to pay one's debts; solvent.
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Facts in nature are connected by a thousand knots of which no one is solvable by human logic.
The good news is this problem is solvable and we know where to focus our efforts.
That should be a solvable problem, former Yahoo employees told The Daily Beast.
Coleridge's unshaken conviction that it was solvable, inspired many with courage.
In it he determined the minimal simple finite groups, this is to say, the simple groups whose proper subgroups are solvable.
The whole question seems to me to lie in the proverbial nutshell, and to be solvable by the proverbial common sense.

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