
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 $f(x) = (m^2 - m - 1)x^{-5m-3}$, for what value(s) of $m$ does $f(x)$:  
(1) become a power function;  
(2) become a direct proportionality function;  
(3) become an inverse proportionality function;  
(4) become a quadratic function.

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