
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 sets $A=\{x| \frac {x-5}{x+1}\leqslant 0\}$, $B=\{x|x^{2}-2x-m < 0\}$.  
$(1)$ When $m=3$, find $A\cap(\complement_{\mathbb{R}}B)$;  
$(2)$ If $A\cap B=\{x|-1 < x < 4\}$, find the value of the real number $m$.

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