verb (used with object), solved, solving.
to find the answer or explanation for; clear up; explain: to solve the mystery of the missing books.
to work out the answer or solution to (a mathematical problem).

1400–50; late Middle English solven < Latin solvere to loosen, free, release, dissolve

solver, noun
presolve, verb (used with object), presolved, presolving.
unsolved, adjective
well-solved, adjective

1. resolve, unravel, untangle, crack. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
solve (sɒlv)
1.  to find the explanation for or solution to (a mystery, problem, etc)
2.  maths
 a.  to work out the answer to (a problem)
 b.  to obtain the roots of (an equation)
[C15: from Latin solvere to loosen, release, free from debt]

unsolved (ʌnˈsɒlvd)
not having been solved or explained: several unsolved murders

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

c.1440, "to disperse, dissipate, loosen," from L. solvere "to loosen, dissolve, untie," from PIE *se-lu-, from reflexive pronoun *swe- + base *leu- "to loosen, divide, cut apart" (cf. Gk. lyein "to loosen, release, untie," O.E. -leosan "to lose," leas "loose;" see lose). The
meaning "explain, answer" is attested from c.1533; for sense evolution, see solution. Mathematical use is attested from 1737.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences for unsolved
The formation of planetesimals is the biggest unsolved problem in the nebular disk model.
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