Real Dictionary

negotiate
verb: If people negotiate with each other or negotiate an agreement, they talk about a problem or a situation such as a business arrangement in order to solve the problem or complete the arrangement.
verb: If you negotiate an area of land, a place, or an obstacle, you successfully travel across it or around it.

negotiate in American English
to confer, bargain, or discuss with a view to reaching agreement
to make arrangements for, settle, or conclude (a business transaction, treaty, etc.)
intransitive verb: to deal or bargain with another or others, as in the preparation of a treaty or contract or in preliminaries to a business deal
transitive verb: to arrange for or bring about by discussion and settlement of terms

negotiate in British English
verb: to work or talk (with others) to achieve (a transaction, an agreement, etc)