Translate the following inference to logic notation: Patricia is not a politician or Barbara is playing a game. If Thomas cooks, then Linda is an office clerk. If Linda were an office clerk, then Barbara is writing a letter. If Barbara plays a game, then Barbara is writing a letter. Patricia is a politician or Thomas is cooking. Therefore Barbara is writing a letter.
~p or q. r -> s. s -> t. q -> t. p or r. Therefore t.