Ordinary renovation debris loads normally: lumber, drywall, plaster, lath, roofing, flooring, cabinets, doors, windows, fixtures, furniture and household cleanout material.
Nothing hazardous goes into an Ogden container, and nor do liquids, paint, solvents, fuel or asbestos. Asbestos is a live risk on Ogden's pre-1980 housing, where it shows up in pipe insulation, floor tile and textured ceilings, so have it assessed and abated before demolition rather than after.
Utah bars lead acid batteries from public disposal facilities, and the state now requires landfills and transfer stations to collect a fine on an uncovered load, which is one reason loads are tarped. The City's own free container program gives a useful shorthand for the rest: it refuses tires, batteries, chemicals, shingles, concrete, dirt, rocks, refrigerators, computer monitors, asphalt and tree stumps.
Those refusals are about the City's program rather than about every container, and a roll-off will take shingles, concrete and dirt. But they do show which materials need to be declared at booking, because they are either heavy, priced per item, or routed separately.
When one item is the question, ask your account manager before it goes in rather than after the container is full.