
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 what value of the real number \\(m\\), the complex number \\(z=m^{2}\left( \frac {1}{m+5}+i\right)+(8m+15)i+ \frac {m-6}{m+5}\\) is  
\\((1)\\) a real number;  
\\((2)\\) a complex number;  
\\((3)\\) a pure imaginary number;  
\\((4)\\) the corresponding point is in the second quadrant.

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