
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 $PQ=6$, $PR=5$, $PS=4$, $QR=7$, $QS=5$, and $RS=\tfrac{15}4\sqrt{2}$. What is the volume of the tetrahedron?
**A)** $\frac{5}{3}$  
**B)** $\frac{8}{3}$  
**C)** $\frac{10}{3}$  
**D)** $\frac{12}{3}$  
**E)** $\frac{15}{3}$

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