
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
Given that the function $f(x)$ defined on $[-2,2]$ is monotonically decreasing on the interval $[0,2]$ and $f(1-m) < f(3m)$.
(1) If the function $f(x)$ is an odd function on the interval $[-2,2]$, find the range of values for the real number $m$.
(2) If the function $f(x)$ is an even function on the interval $[-2,2]$, find the range of values for the real number $m$.

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