
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 \[g(x) =
\begin{cases}
x^2+3x+1 &\text{if } x < m, \\
3x+7 &\text{if } x \geq m.
\end{cases}
\]
Determine the sum of all possible values of \( m \) for which the graph \( y = g(x) \) is continuous.

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