
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/>$(1){(-3)}^{2}+{(\frac{1}{2})}^{-1}+{(π-3)}^{0}$;<br/>$(2)(8x^{4}+4x^{3}-x^{2})\div \left(-2x\right)^{2}$;<br/>$(3)\left(2x+1\right)^{2}-\left(4x+1\right)\left(x+1\right)$;<br/>$(4)\left(x+2y-3\right)\left(x-2y+3)$.

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