
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
If $\frac {1}{x+1} + \frac {1}{y+1} = \frac {1}{z}$, find the value of $z$.
A) $\frac{x+y}{x+y+2}$  
B) $\frac{(x+1)(y+1)}{x+y-2}$  
C) $\frac{(x+1)(y+1)}{x-y+2}$  
D) $\frac{(x+1)(y+1)}{x+y+2}$

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