
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
Calculate:<br/>$(1)(-1)^{2023}+{(-\frac{1}{2})}^{-2}-(3.14-π)^0$;<br/>$(2)(-3a^{4})^{2}-a\cdot a^{3}\cdot a^{4}-a^{10}\div a^{2}$;<br/>$(3)\left(x+3\right)^{2}-\left(x-1\right)\left(x-2\right)$;<br/>$(4)\left(m-n\right)\left(m+n\right)(m^{2}+n^{2})$.

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