
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 coefficient of the quadratic term of the quadratic function $f(x)$ is positive, and for any real number $x$, it always holds that $f(2+x) = f(2-x)$. If $f(1-2x^2) < f(1+2x-x^2)$, then the range of values for $x$ is __.

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