
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 $p(x) = 3x^4 + 9x^3 - 6x^2 + 2x - 4$ and $g(x) = x^2 - 2x + 3$. Assume $p(x) = m(x)g(x) + s(x)$ for some polynomials $m(x)$ and $s(x)$, where $\deg s < \deg g$. Calculate $m(1) + s(-2)$.

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