
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 $\frac{x^2 + 4x + 4}{x^3 - x^2 - 4x}$, calculate $a$ where $a$ represents the number of holes, $b$ represents the number of vertical asymptotes, $c$ represents the number of horizontal asymptotes, and $d$ represents the number of oblique asymptotes. Finally, compute the value of $a+2b+3c+4d$.

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