
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
Let \( N = \overline{5ABC37C2} \), where \( A, B, C \) are digits between 0 and 9, inclusive, and \( N \) is a 7-digit positive integer. If \( N \) is divisible by 792, determine all possible ordered triples \( (A, B, C) \).

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