
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
Let  $f: \mathbb{R} \rightarrow \mathbb{R}$  be a function such that   $$ \displaystyle{f(f(x)) = \frac{x^2 - x}{2}\cdot f(x) + 2-x,} $$   for all  $x \in  \mathbb{R}.$  Find all possible values of  $f(2).$ 

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