
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 $\triangle PQR$, points $M$ and $N$ lie on $\overline{QR}$ and $\overline{PR}$, respectively. If $\overline{PM}$ and $\overline{QN}$ intersect at $S$ such that $PS/MS = 2$ and $QS/NS=3$, what is $MR/RM$?

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