
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
Consider real numbers \( p \) and \( q \) such that
\[
\frac{\frac{1}{p} + \frac{1}{q}}{\frac{1}{p} - \frac{1}{q}} = 1009.
\]
Determine \(\frac{p+q}{p-q}\).
A) -2014
B) -1009
C) 1009
D) 2014

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