Everyday building, farm and household debris is what these containers are for.
Hazardous waste, liquids, paint, solvents, fuel and asbestos are barred from any standard container, and that list matters more on rural property than in town, because old outbuildings often hold leftover chemicals, drums and fuel cans. Those need their own route and should never go in with the building debris.
Tires are a separate item and should be counted at booking rather than discovered on collection day. Appliances and electronics also need naming, and old farm appliances are common in a barn clearance. Scrap metal is usually worth keeping apart rather than burying it in a mixed load.
Asbestos deserves its own mention on an older property. Siding, pipe lagging and some floor tiles from mid-century buildings can contain it, and it has to be handled and disposed of separately by people qualified to do it. If you suspect it, stop and tell your account manager before anything goes in the container.