
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
Given the function $f(x)=2x^{3}+ax^{2}+bx+m$, where $f′(x)$ is its derivative. If the graph of the function $y=f′(x)$ is symmetric about the line $x=- \frac{1}{2}$, and $f′(1)=0$.
(1) Find the values of the real numbers $a$ and $b$;
(2) If the function $f(x)$ has exactly three zeros, find the range of values for the real number $m$.

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