Hi Dobsy, it's great that you took the time to try out this experiment! Unfortunately since all rooms are procedurally generated, I can not give an exact solution.
However I can spoil the mechanics: there are three possible item types (vases, toys and statues) that have to be matched depending on either a number (SPOILER: check for patterns in vase handles, statue legs or symbols on toys) or associated god. Each puzzle will be either a 'number' or 'god' type puzzle and needs a set of one type of object to match another. In case there are Mosaic walls in the room, you might need to match the number to that of the mosaic, but thats a different puzzle entirely.
Hope this helps!