
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 the function $f(x)= \begin{cases} x, & x\geqslant a \\ x^{3}-3x, & x < a\end{cases}$.
- (1) If $f(x)$ has two zeros, then the range of values for the real number $a$ is \_\_\_\_\_\_.
- (2) If $a\leqslant -2$, then the range of values for $x$ that satisfies $f(x)+f(x-1) > -3$ is \_\_\_\_\_\_.

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