2015 AIME I Problems/Problem 10
Problem
Let 
be a third-degree polynomial with real coefficients satisfying
![\[|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12.\]](http://latex.artofproblemsolving.com/e/e/9/ee9f663562febc0fa6843c525e84235d42aaf6c0.png)
Find 
.
See Also
| 2015 AIME I (Problems • Answer Key • Resources) | ||
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Followed by Problem 11 | |
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| All AIME Problems and Solutions | ||
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