
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
Does it have a maximum or minimum value, given the following equations:
1) \(x^{2}-6x+2y=0\)
2) \(3x^{2}+12x-2y-4=0\)
3) \(y=\frac{2x}{1+x^{2}}\)
4) \(y=\frac{2x-1}{x^{2}+2x+1}\)

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