Open the door with the right symbols, and you’ll find the collection chest on the other side - plus a path to the Arithmancy Class with more doors. This particular puzzle requires (4) and (3). To solve it, you need to select animals for the ? and ? blocks on the wall that can be added to the other numbers and symbols to equal the circled number in the middle. Inspect the nearby blue chest to find a cipher that shows each of the animal symbols and their corresponding number. From here, head out onto a wooden walkway above the Viaduct Entrance, and follow the catwalk to an Arithmancy Door. To find it, head to the North side of the Viaduct Entrance in the Library Annex and climb the spiral staircase to the Divination Floo Flame. This is because this is the only door that has the cipher you need to solve the rest located in a nearby chest. This chest is likely the first of many you can find by solving the Arithmancy Doors located all over Hogwarts.
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