The letters of GASOLINE can be rearranged to spell GAIN and LOSE, which are opposites.

language/english/meaning/synonyms/antonym.split New

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Problem

The letters of GASOLINE can be rearranged to spell GAIN and LOSE, which
are opposites.  Do the same with SPEARLIKE and THEOLOGIST: what two
opposites can be spelled with the letters of each?

Show solution

"Theologist" contains the opposites LOOSE and TIGHT.
"Spearlike" contains the opposites IRK and PLEASE.

-- Will Shortz, NPR "Weekend Edition Sunday" puzzle, challenge of
   October 2, 1994, answer given October 9, 1994 (posted by
   wesun@clark.net)