
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 $m \in \mathbb{R}$ and complex number $z = (m^2 + 5m + 6) + (m^2 - 2m - 15)i$.
1. If $z$ is equal to the complex number $2 - 12i$, find the value of $m$.
2. If $z$ and the complex number $12 + 16i$ are conjugate to each other, find the value of $m$.
3. If the point corresponding to $z$ is above the x-axis, find the range of values of $m$.

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