
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 $A=\{x|-2\leqslant x\leqslant 5\}$ and $B=\{x|m-1\leqslant x\leqslant 2m+1\}$.
(1) Find the number of subsets of $A$ when $x\in\mathbb{N}^*$;
(2) Find the range of $m$ when $x\in\mathbb{R}$ and $A\cap B=\varnothing$.

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