
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
Suppose
\[\frac{1}{x^3 + 2x^2 - 17x - 30} = \frac{A}{x-5} + \frac{B}{x+2} + \frac{C}{(x+2)^2}\]
where $A$, $B$, and $C$ are real constants. What is $A$?

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