
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
Find \( p(x) \) if the graph of \( \frac{x^4 - 2x^3 - 7x + 6}{p(x)} \) has vertical asymptotes at \( 1 \) and \( -1 \), no horizontal asymptote, and \( p(2) = 24 \).

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