Most remodel, roofing, and cleanout debris is fine for your dumpster. The limits come from Colorado's landfill rules and from what the county landfill will take.
The Colorado Department of Public Health and Environment lists the items that are banned from landfills across the state. They include car and truck batteries, used motor oil, liquid waste, waste tires, and electronics. That last one surprises a lot of people. TVs, computers, monitors, and other electronic equipment can't be thrown away with regular trash, so take them to an electronics recycler.
Hazardous waste, paint, solvents, fuel, and asbestos can't go in a standard dumpster either. Keep tires, appliances, and mattresses out of the general load and mention them when you book, since the landfill handles and prices them one at a time.
If you have questions about any item, ask your account manager before it goes in.