
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
The solution set of the inequality $x^{2}-px-q < 0$ is ${x|2 < x < 3}$, find the values of $p$ and $q$, and then find the solution set of the inequality $qx^{2}-px-1 > 0$.

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