
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
Let $r(x)$ be a monic quintic polynomial such that $r(1) = 3,$ $r(2) = 8,$ $r(3) = 15,$ $r(4) = 24,$ and $r(-1) = -1$. Find $r(5)$.

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