
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
If the function $f(x)$ is defined as follows:
$$f(x) = \begin{cases} x^2 - 2x, & \text{when } x \geq 0 \\ -x^2 + ax, & \text{when } x < 0 \end{cases}$$
and it is an odd function, then the range of values for $x$ that satisfy $f(x) > a$ is \_\_\_\_\_\_\_\_.

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