
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 \( g(x) = 3x^4 + 9x^3 - 7x^2 + 2x + 4 \) 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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