
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/>$(1)(π-3)^0+(-\frac{1}{2})^{-2}$;<br/>$(2)x^{2}\cdot x^{4}+(-2x^{2})^{3}$;<br/>$(3)\left(x+4\right)^{2}-\left(x-2\right)\left(x-5\right)$;<br/>$(4)\left(2a-b+3\right)\left(2a+b-3)$.

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