Massachusetts runs the strictest disposal bans in the region. Asphalt pavement, brick and concrete, clean gypsum wallboard, ferrous and non-ferrous metals and recyclable cardboard are banned from disposal with no exception for a particular facility type. Treated and untreated wood, wood waste and whole tires are banned from landfills, and shredded tires are acceptable.
Those bans do not keep the material out of your container. They mean it is sorted and processed instead of buried, and separating clean metal or clean wallboard usually costs less than burying it in a mixed load. The state puts the duty on both the business that generates the waste and the company that transports it, which is why your account manager asks what is going in.
Malden's own code names demolition debris directly, as material the City collector will not take: stones, plaster, brick, excavated earth, concrete, drywall, roofing materials, siding materials and structural members. All of that is exactly what a rented container is for.
The ordinary exclusions apply on top. No hazardous material, paint, solvents, fuel, used oil, pesticides or pool chemicals. No liquids, pressurized cylinders, asbestos or sharps. Appliances and electronics need to be named at booking so each is routed properly. Ask your account manager about anything unusual before it is loaded.