TASK DEFINITION: You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For simplicity, answers should be in all lower cased letters.
PROBLEM: Category: 10-LETTER WORDS 
Clue: It means to set free, as from slavery

SOLUTION: emancipate

PROBLEM: Category: BACH'S CANTATAS 
Clue: A cantata for the Leipzig town council inauguration is titled "Wir Danken Dir, Gott" or we do this, God

SOLUTION: thank you

PROBLEM: Category: CAPTURE THE FLAG 
Clue: This word for the upper-left part of a flag is a place name on maps of China & Ohio

SOLUTION:
a canton