
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
For a function $f(x)$ defined on the set of real numbers $\mathbb{R}$, if there exists a real number $x_{0}$ such that $f(x_{0})=x_{0}$, then $x_{0}$ is called a good point of the function $f(x)$. It is known that the function $f(x)=x^{2}+2ax+1$ does not have any good points. The range of values for $a$ is ______.

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