
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
A number, when divided by $12$ leaves a remainder of $11$, when divided by $11$ leaves a remainder of $10$, when divided by $10$ leaves a remainder of $9$, down to where, when divided by $3$, it leaves a remainder of $2$. The correct value of this number is:
A) 27720  
B) 27719  
C) 10080  
D) 36036  
E) None of the above

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