
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
Determine the values of \( m \) for which one of the roots of the equation \( z^{3} - (m^{2} - m + 7) z - (3m^{2} - 3m - 6) = 0 \) is \( -1 \). Find the remaining two roots of the equation for these values of \( m \).

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