
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
For all non-zero real numbers $x$, $y$, and $z$ such that $x - y + z = xyz$, compute the value of $\frac{1}{x} - \frac{1}{y} + \frac{1}{z}$.
A) 0
B) 1
C) -1
D) $x - y + z$
E) $\frac{1}{xyz}$

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