
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 \( n \) be a positive integer greater than 1. If \( 2n \) is divided by 3, the remainder is 2. If \( 3n \) is divided by 4, the remainder is 3. If \( 4n \) is divided by 5, the remainder is 4. If \( 5n \) is divided by 6, the remainder is 5. What is the least possible value of \( n \)?

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