
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
Consider the two-digit number \( AB \) in base 12, where \( A \) and \( B \) are digits and \( A \neq B \). The digits of this number are reversed to form another two-digit number \( BA \). Calculate the remainder when the larger of the two numbers is subtracted from the smaller and the result is divided by 5.

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