
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
Let $a\in \mathbb{R}$, and consider the function $f(x)= \frac{x-a}{(x+a)^{2}}$.  
(1) If the tangent line to the function $f(x)$ at the point $(0,f(0))$ is parallel to the line $y=3x-2$, find the value of $a$;  
(2) If for any $x_1$ in the domain, there always exists an $x_2$ such that $f(x_2) < f(x_1)$, determine the range of values of $a$.

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