
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
\[
\frac{1}{x^3 - 2x^2 - 13x + 10} = \frac{D}{x-2} + \frac{E}{x-1} + \frac{F}{(x+5)^2}
\]
where $D$, $E$, and $F$ are real constants. Find the value of $D$.

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