
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
\[\left\{\begin{array}{l}
3(2-\sqrt{x-y})^{-1}+10(2+\sqrt{x+y})^{-1}=5, \\
4(2-\sqrt{x-y})^{-1}-5(2+\sqrt{x+y})^{-1}=3.
\end{array}\right.\]

\[\left\{\begin{array}{l}
\sqrt[3]{x}+\sqrt[3]{y}=4, \\
x+y=28.
\end{array}\right.\]

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