eliminate

from The American Heritage® Dictionary of the English Language, 5th Edition.

• transitive verb To get rid of; remove.
• transitive verb To leave out or omit from consideration; reject.
• transitive verb To remove from consideration by defeating, as in a contest.
• transitive verb Mathematics To remove (an unknown quantity) by combining equations.
• transitive verb Physiology To excrete (bodily wastes).

from The Century Dictionary.

• To go beyond the limit or limits of.
• To thrust out; remove, throw aside, or disregard as injurious, superfluous, irrelevant, or for any reason undesirable or unnecessary; expel; get rid of.
• In mathematics, to remove (a quantity) from a system of equations by the reduction of the number of equations.

from the GNU version of the Collaborative International Dictionary of English.

• transitive verb To put out of doors; to expel; to discharge; to release; to set at liberty.
• transitive verb (Alg.) To cause to disappear from an equation.
• transitive verb To set aside as unimportant in a process of inductive inquiry; to leave out of consideration.
• transitive verb Recent, and not well authorized To obtain by separating, as from foreign matters; to deduce.
• transitive verb (Physiol.) To separate; to expel from the system; to excrete

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• verb transitive To completely destroy (something) so that it no longer exists.
• verb slang To kill (a person or animal).
• verb physiology To excrete (waste products).
• verb To exclude (from investigation or from further competition).

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• verb remove (an unknown variable) from two or more equations
• verb do away with
• verb terminate, end, or take out
• verb kill in large numbers
• verb dismiss from consideration or a contest
• verb eliminate from the body
• verb remove from a contest or race