Most construction, cleanout, and yard debris can go in your container. The limits come from Colorado's disposal rules and the facility that takes your load.
Colorado bans electronics from landfills. As Boulder County explains, the state's Electronic Recycling Jobs Act has kept computers, TVs, and many other electronics out of Colorado landfills since July 1, 2013. Take them to an electronics recycler instead.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos can't go in a standard dumpster either. Keep tires out of your load too, and ask your account manager about other options for them.
The county slash site has its own tight rules. It takes tree and bush debris only, with no stumps, roots, weeds, grass, lumber, trash, or bulk loads of pine needles.
If you're unsure about an item, ask your account manager before it goes in the container.