
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
Consider a triangle $DEF$, with sides of length $7$, $8$, and $9$. Triangle $DEF$ has one vertex on the positive $x$-axis, one on the positive $y$-axis, and one on the positive $z$-axis. Let $O$ be the origin. What is the volume of the tetrahedron $ODEF$?
A) $8\sqrt{10}$
B) $8\sqrt{11}$
C) $8\sqrt{12}$
D) $8\sqrt{13}$
E) $8\sqrt{14}$

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