
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
Tetrahedron $PQRS$ has $PQ=6$, $PR=5$, $PS=5$, $QR=5$, $QS=5$, and $RS=4$. Triangle $PQR$ is equilateral. What is the volume of tetrahedron $PQRS$?
A) $\frac{60\sqrt{3}}{5}$
B) $\frac{72\sqrt{3}}{5}$
C) $\frac{84\sqrt{3}}{5}$
D) $\frac{96\sqrt{3}}{5}$

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