
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 $Q(x)$ be a polynomial such that
\[Q(x) = Q(0) + Q(2)x^2 + Q(3)x^3\]
and $Q(-1) = 2.$ Determine $Q(x)$ using the additional evaluations at $x = 1, 2,$ and $3$.

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