Entrance Room:

Go north

Poetry Room:

Wait for the question, then type 'Labra'. Go north.

Library Room:

Go north immediately

Treasury:

Look at the floor to find a loose stone, pull it to reveal a hole. Grab the two coins from inside. Sort the coins so that both tables have a value of 125 jin. Go north.

Tax Room:

Put all the coins in the hole. Go north.

Bureacracy Room:

Don't say anything, just wait for the door to open. Go north.

Circular Room:

Take the knife and sheet, put the sheet in the gap under the north door, put the knife in the keyhole on the north door, grab the key from the gap, unlock the north door, go north.

Nightmare Room:

Take the sword, hit the shape as soon as it appears. Go north.

Casino Room:

You'll need to put the cards into the slot in the left box to change them into new cards, which will appear in the right box. The cards they change to are determined by the order you insert them, and the state of the right box (open/closed). The correct moves are:

Open 4D 6S -> 5C 5C
(put the four of diamonds in the slot first, followed by the six of spades, while the right box is open.)
Closed 5C 5C -> 6H 7S
Closed 6H 7S -> 7S 9C
Open 7S 9C -> 8D 8S
Closed 8D 8S -> 9C 10C
Closed 9C 10C -> 10H 12S
Open 10H 12S -> 11S 11C
Closed 11S 11C -> 12D 13S
Closed 13S 12D -> 1D 1H
Open 1D 1H -> 2C 13D
Open 13D 2C -> 1C 1S

After the door opens, go north.

Exit Room:

Either:

Go north.
Try taking the goblet once or twice and go north.
Try taking the goblet three times.