
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
Define a new operation "☆" with the rule: $m$☆$n=m^{n}+mn-n$. For example, $2$☆$3=2^{3}+2\times 3-3=8+6-3=11$. Solve the following problems:<br/>$(1)\left(-2\right)$☆$4$;<br/>$(2)\left(-1\right)$☆$[\left(-5\right)$☆$2]$.

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