Most remodel and cleanout debris can go in your container. The limits come from Utah's landfill rules and from the facility that takes your load.
Utah requires landfills to turn away liquids in anything bigger than household containers, along with sludge and other waste with free liquid in it. Hazardous waste and anything containing PCBs are also off limits.
Tires have their own state rule. Utah bans waste tires from landfills, with a few narrow exceptions, such as an individual bringing in four tires or fewer at one time. That's why the county transfer station accepts only four tires per person a day, and eight per vehicle. Keep tires out of your dumpster unless you've cleared them with us first.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos can't go in a standard dumpster either. The demolition landfill the county lists also refuses TVs, household trash, and liquids of any kind, so a load with those items mixed in may be sent back.
If you're unsure about an item, ask your account manager before it goes in.