
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 the function $f(x)=\begin{cases} x+2, & x > 0 \\ x^{2}-1, & x \leqslant 0 \end{cases}$, find $f(f(-2))$.

(2) Let $A={x|-2 \leqslant x \leqslant 5}$ and $B={x|x>a}$. If $A \subseteq B$, find the range of values for $a$.

(3) Given the function $f(x)=ax^{2}+bx$, if $f(a)=8$, find $f(-a)$.

(4) Let $f(x)$ be an odd function defined on $[-2,2]$. If $f(x)$ is monotonically decreasing on $[0,2]$ and $f(m)+f(m-1)>0$, find the range of values for the real number $m$.

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