
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 all ordered triples $(x, y, z)$ of integers where the sum of any two numbers equals the third.
A) $(0, 0, 0)$
B) $(1, 1, 2)$
C) $(1, -1, 0)$
D) $(2, 1, 3)$

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