
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
Find the simplified form of $(x + y)^{-2}(x^{-1} + z y^{-1})$ and express your answer using negative exponents.
**A)** $x^{-1}y^{-1}(x+y)^{-2}$
**B)** $y^{-1}(x+y)^{-2} + z x^{-1}(x+y)^{-2}$
**C)** $y^{-1}(x+y)^{-2} + z x^{-1} y^{-1}(x+y)^{-2}$
**D)** $x^{-1}y^{-2}z^{-1}(x+y)^{-2}$

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