
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
How many ordered triples of integers \((a, b, c)\) satisfy \(|a+b| + c = 21\) and \(ab + |c| = 99\)?
**A**. 0  
**B**. 1  
**C**. 2  
**D**. 4  
**E**. 5

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