
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
Simplify first, then evaluate:<br/>$(1)\left(4-x\right)\left(2x+1\right)+3x\left(x-3\right)$, where $x=-1$.<br/>$(2)[\left(x+2y\right)^{2}-\left(3x+y\right)\left(3x-y\right)-5y^{2}]\div ({-\frac{1}{2}x})$, where $x=1$,$y=\frac{1}{2}$.

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