
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
The function   $f(x) = ax^2 + bx + c$  satisfies the following conditions:
  $f(\sqrt2)=3$  and  $ |f(x)| \le 1$  for all  $x \in [-1, 1]$ .
Evaluate the value of  $f(\sqrt{2013})$ 

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