
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
Suppose [$a$ $b$] denotes the average of $a$ and $b$, and {$a$ $b$ $c$} denotes the average of $a$, $b$, and $c$. What is $\{\{\text{2 1 0}\} \text{ [1 2] } 1\}?$
**A)** $\frac{7}{6}$   
**B)** $\frac{5}{6}$   
**C)** $\frac{8}{6}$  
**D)** $\frac{2}{3}$

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