(1) When a chemistry teacher lives with a math teacher, you know that those who teach math don't teach chemistry.

3) The math teacher and teacher C often play chess together, which means that teacher C doesn't teach math.

; (4) The physics teacher is older than the biology teacher, but younger than the second teacher, so we can know that A is the biology teacher and C teaches physics.

Teacher B is the oldest.

; (5) Among the three teachers, the oldest teacher's home is farther from the school than the other two.

Available: a and c live together,

So you can get: A teaches biology and mathematics.

C teaches physics and chemistry.

Education: language, history