
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
If $A*B$ means $\frac{A^2 + B^2}{3}$ instead of $\frac{A+B}{2}$, calculate the value of $(6*3)*9$.
A) 15
B) 45
C) 81
D) 102
E) 306

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