
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
(1) Given $f(x)=\begin{cases} x+1 & (x > 0) \\ \pi & (x=0) \\ 0 & (x < 0) \end{cases}$, find $f[f(-2)]=$______.

(2) If the domain of the function $f(x)$ is $[-1,2]$, find the domain of the function $f(2x-1)=$______.

(3) Given that the function $f(x)$ is a decreasing function on the domain $(-1,1)$, and $f(1-a)\leqslant f(3a-2)$, find the range of values for $a=$______.

(4) Given the universal set $U={2,3,a^{2}-a-1}\ $, $A={2,3}$, if $C_{U}A={1}$, find the value of the real number $a=$______.

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