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Q: What exceptional words turn into other words by movement of letters?

A:

   longest word allowing exchange of letters (metallege)
    CONSERVATIONAL, CONVERSATIONAL
   longest head-to-tail shift
    SPECULATION, PECULATIONS
   longest double head-to-tail shift
    STABLE-TABLES-ABLEST
   longest complete cyclic transposal  ATE-TEA-EAT (3)
''''''''''''
Unless noted otherwise, all words occur in Webster's Third New International
Dictionary, Merriam-Webster, Springfield, MA, 1961.
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