
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 $g(x) = 3x^4 + 9x^3 - 7x^2 + 2x + 5$ and $h(x) = x^2 + 2x - 3$. If $g(x) = p(x)h(x) + s(x)$ for some polynomials $p(x)$ and $s(x)$ where $\deg s < \deg h$, calculate $p(1) + s(-1)$.

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