
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 the function $f(x)= \begin{cases} x+2,(x\leqslant -1) \\ x^{2},(-1 < x < 2) \\ 2x,(x\geqslant 2)\\ \end{cases}$.

1. Find the values of $f(-3)$, $f(4)$, and $f(f(-2))$.
2. If $f(m)=8$, find the value of $m$.

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