garbage (esp. AmE), refuse, rubbish (BrE), trash (AmE), waste
the cleaning up of a toxic waste dump

nuclear
city, town

site
Local residents have organized a protest against the planned dump site.

truck (AmE)

at a/the dump
Radioactive waste has been found at the dump.

to a/the dump
They took the mattress to the dump.

dump for
a new dump for nuclear waste

illegally, legally
The company had illegally dumped toxic waste.

unceremoniously
They carried him down to the beach and dumped him unceremoniously in the freezing water.

quickly
simply
The waste is often simply dumped overboard.

at sea (esp. BrE), in the ocean (esp. AmE), overboard
The sewage was dumped at sea.

down
He dumped the boxes down in the kitchen.

Dump is used with these nouns as the object:
bag, boyfriend, bucket, car, chemical, content, fuel, garbage, load, pile, refuse, remains, rubbish, sewage, share, suitcase, trash, waste