The term 'BOTHERS NO END' can be broken down into two crossword solutions: NAGS (4 letters) and EATSAT (6 letters). NAGS is a verb meaning to persistently criticize or complain, while EATSAT is an acronym for the Educational Testing Service's Advanced Placement Examination. Together, these two solutions suggest that someone is being constantly criticized or complained about in relation to their performance on an Advanced Placement Examination.