Everyday remodeling and cleanout debris is welcome. The limits come from Minnesota's disposal rules, from Dakota County, and from what the receiving facility will take.
Minnesota draws a narrow line around demolition debris, covering concrete, brick, bituminous concrete, untreated wood, masonry, glass, trees, rock, and plastic building parts. Household garbage and asbestos are outside that definition, and the state requires demolition debris to go to a permitted facility. Asbestos has its own handling rules and never belongs in a general debris container.
Hazardous material is out of a standard roll-off across the board. Paint, solvents, fuel, antifreeze, pesticides, pool chemicals, aerosols, and gas cylinders all need a separate route. So do batteries of every kind, including the rechargeable and lithium ion cells that start fires in trucks and at sorting lines.
Electronics are their own category in Minnesota and can't go out with trash. Tires, mattresses, and appliances holding refrigerant are handled separately too, and they are usually billed per item rather than by weight. Tell your account manager about them when you book instead of burying them in the load.