
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
376. Solve the systems of equations:
a) \[\left\{\begin{array}{l}\frac{1}{x}+\frac{2}{y}-\frac{3}{z}=3 \\ \frac{4}{x}-\frac{1}{y}-\frac{2}{z}=5 \\ \frac{3}{x}+\frac{4}{y}+\frac{1}{z}=23\end{array}\right.\]

b) \[\left\{\begin{array}{l}\frac{1}{x-y}+x^{2}=1, \\ \frac{x^{2}}{x-y}=-2 .\end{array}\right.\]

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