Lumber, drywall, plaster, brick, siding, roofing, flooring, carpet, cabinets, fixtures, furniture, and general cleanout debris are all fine in a roll-off container.
Hazardous material is handled separately as a matter of course. Paint, solvents, fuel, motor oil, antifreeze, pool chemicals, pesticides, batteries, and fluorescent lamps all need their own route, and liquids of any kind are refused. Propane tanks and other pressurized cylinders are out, and tires need separate handling. Electronics are a separate stream in Indiana with their own rules, so screens and computers from an office or rental cleanout do not go in with the rest.
Indiana handles hazardous waste in an odd-looking way worth knowing. It counts as solid waste in the state's own definition, but it is then regulated under a separate set of rules and left out of the solid waste rules entirely. That is why a container and a hazardous waste route are two arrangements rather than one.
Asbestos deserves its own paragraph here. Downtown Valparaiso and the older housing near the campus run well back into the first half of the twentieth century, and asbestos turns up in floor tile and its adhesive, in pipe lagging, in cement sheet, and in older siding. Indiana runs asbestos as a named program in its own right, and the material needs a licensed abatement contractor rather than a container.
Composting of vegetative matter has its own statute, so yard waste, brush, and tree material are best treated as a separate load rather than mixed into renovation debris.
Tell your account manager what the job involves when you book and the separate route for anything on that list gets arranged with the container.