
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
Let \(\triangle PQR\) be a right triangle with \(Q\) as the right angle. A circle with diameter \(QR\) intersects side \(PR\) at point \(S\). If the area of \(\triangle PQR\) is \(120\) and \(PR = 24\), find the length of \(QS\).

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