Framing, drywall, plaster, roofing, flooring, carpet, cabinets, doors, windows, siding, furniture, and general cleanout debris are all fine in a standard container.
Massachusetts then applies the strictest material list in the country, and it binds the hauler as well as you. MassDEP bans asphalt pavement, brick and concrete, clean gypsum wallboard, and ferrous and non-ferrous metals from disposal or transfer for disposal, together with cathode ray tubes, lead acid batteries, leaves and yard waste, mattresses, textiles, recyclable paper and cardboard, glass, metal and plastic containers, and large appliances. Those materials get sorted out and recycled.
Two items carry a narrower rule that often gets stated too strictly. Treated and untreated wood and wood waste are banned from landfills only, and whole tires are banned from landfills only with shredded tires accepted. In practice that is academic here, because there is no combustion facility anywhere in western Massachusetts, so wood from an Amherst job is recycled rather than burned.
Amherst's own rules add the 5 percent recyclable cap mentioned above, put responsibility for banned, electronic, and hazardous waste on the property owner or tenant, and allow Town enforcement agents to spot check a load at any point between pickup and disposal. Hazardous material stays out entirely: paint, solvents, fuel, pesticides, pool chemicals, motor oil, and liquids of any kind.
Asbestos deserves a note in a town with this much pre-war and mid-century housing. Pipe wrap, floor tile, and siding shingles can all contain it, and it needs a licensed abatement contractor rather than a container. Check anything unusual with your account manager first.