
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
$(1)$ Calculate: $16÷{({-2})^3}-{({\frac{1}{3}})^{-2}}+{({π-3})^0}$;  
$(2)$ Simplify: $\left(3x+y\right)^{2}+\left(x-2y\right)\left(x+2y\right)-3y\left(x-y\right)$.

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