
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
In the graph of \(\frac{x^2 + 5x + 6}{x^3 + x^2 - 6x}\), let \( p \) be the number of holes in the graph, \( q \) be the number of vertical asympotes, \( r \) be the number of horizontal asymptotes, and \( s \) be the number of oblique asymptotes. Find \( p + 2q + 3r + 4s \).

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