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Latin word reputationem comes from Latin puto, Latin re-
puto (Latin)
(figuratively) I arrange, settle. (figuratively) I judge, suspect, suppose. (figuratively) I ponder, consider, think about. (figuratively) I value, esteem, deem, regard, consider. I clean, cleanse. I trim, prune, lop.
re- (Latin)
Again; prefix added to various words to indicate an action being done again, or like the other usages indicated above under English.. Back, backwards.
reputare (Latin)
reputationem (Latin)