Sorry, but like lots of words, prevaricate has various meanings in common use:
Cambridge Dictionaries Online
Synonims for prevaricate: BEAT AROUND THE BUSH circumlocution digress equivocate gloss over sth GO ALL ROUND THE HOUSES. fly off at a tangent implicit indirect mealy-mouthed mincing obfuscate oblique obscure skirt suggestion TALK ROUND/AROUND sth tiptoe round/around sth/sb underlying veiled
prevaricate (third-person singular simple present prevaricates, present participle prevaricating, simple past and past participle prevaricated)
(transitive, intransitive, obsolete) To deviate, transgress; to go astray (from).
(intransitive) To shift or turn from direct speech or behaviour; to evade the truth; TO WAFFLE or be (intentionally) ambiguous.
The people saw the politician prevaricate every day.
(intransitive, law) To collude, as where an informer colludes with the defendant, and makes a sham prosecution.
From the Scots WAFFLE, "to waver, to flutter",