
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) Find the value of the polynomial $2x^{2}-5x+x^{2}+4x-3x^{2}-2$, where $x=\frac{1}{2}$;  
(2) Find the value of $\frac{1}{2}x-2(x-\frac{1}{3}y^{2})+(-\frac{3}{2}x+\frac{1}{3}y^{2})$, where $x=-2$, $y=\frac{2}{3}$.

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