Art of Problem Solving

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<h2 style="border-bottom: 1px solid; color: #1b365d;">New to the AoPS Wiki?</h2>
<h2 style="margin:5px 0px 0px 0px;">New to the AoPS Wiki?</h2>
   
   
If you don't know much about how to edit a wiki, you might want to read the [[AoPS_Wiki:Tutorial|tutorial]] and the [[Help:Contents|help files]]. You can also read [[AoPS_Wiki:What AoPSWiki is not|what AoPSWiki is not]]. Lastly, please read the [[AoPS_Wiki:Policy|policies]] of the AoPSWiki before editing, and [[AoPS_Wiki:What makes AoPSWiki different|why AoPSWiki is different from other online resources]].
If you don't know much about how to edit a wiki, you might want to read the [[AoPS_Wiki:Tutorial|tutorial]] and the [[Help:Contents|help files]]. You can also read [[AoPS_Wiki:What AoPSWiki is not|what AoPSWiki is not]]. Lastly, please read the [[AoPS_Wiki:Policy|policies]] of the AoPSWiki before editing, and [[AoPS_Wiki:What makes AoPSWiki different|why AoPSWiki is different from other online resources]].

Latest revision as of 14:04, 11 November 2025

During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.

Problem of the Week

2012 AMC 12A, Problem 21

Let $a$, $b$, and $c$ be positive integers with $a\ge$ $b\ge$ $c$ such that $a^2-b^2-c^2+ab=2011$ and $a^2+3b^2+3c^2-3ab-2ac-2bc=-1997$. What is $a$?

New to the AoPS Wiki?

If you don't know much about how to edit a wiki, you might want to read the tutorial and the help files. You can also read what AoPSWiki is not. Lastly, please read the policies of the AoPSWiki before editing, and why AoPSWiki is different from other online resources.

AoPSWiki runs on the MediaWiki software.