
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.  
$(1) 2a^{2}-5a+a^{2}+4a-3a^{2}-2$, where $a=\frac{1}{2}$;  
$(2) \frac{1}{2}x-2(x-\frac{1}{3}y^{2})+(-\frac{3}{2}x+\frac{1}{3}y^{2})$, where $x=-2$, $y=\frac{3}{2}$.

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