
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 $$f(x)= \begin{cases} 2x+3，x<-1 \\ x^{2}+1，-1 \leq x \leq 1 \\ 1+ \frac {1}{x}，x>1\end{cases}$$
(1) Find the value of $f(f(f(-2)))$.
(2) If $f(m)= \frac {3}{2}$, find the value of $m$.

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