
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
Solve the system $\left\{\begin{array}{l}2 x + y + 8 \leq 0, \\ x^{4} + 2 x^{2} y^{2} + y^{4} + 9 - 10 x^{2} - 10 y^{2} = 8 x y.\end{array}\right.$

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