
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the Lagrange interpolation polynomial that takes the values $y_{0}=-5$, $y_{1}=-11$, $y_{2}=10$ at the points $x_{0}=-3$, $x_{1}=-1$, $x_{2}=2$, respectively.

Present the answer in LaTex format: \boxed{Your answer}
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