
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 $\frac{x^2 - x - 2}{x^3 - 2x^2 - x + 2}$, determine the number of holes ($a$), the number of vertical asymptotes ($b$), the number of horizontal asymptotes ($c$), and the number of oblique asymptotes ($d$). Calculate $a + 2b + 3c + 4d$.

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