
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
In triangle $PQR,$ where $PQ = QR = 10.$ Let $S$ be a point on $\overline{PR}$ such that $PS = 6$ and $QS = 5.$ Find $SR.$

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