
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 a number which when:
- divided by $13$ leaves a remainder of $12$,
- divided by $12$ leaves a remainder of $11$,
- down to when divided by $3$, it leaves a remainder of $2$.
**A)** $360359$
**B)** $720720$
**C)** $180180$
**D)** $240240$
**E)** none of these answers

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