
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
The integer  $n$ , between 10000 and 99999, is  $abcde$  when written in decimal notation.  The digit  $a$  is the remainder when  $n$  is divided by 2, the digit  $b$  is the remainder when  $n$  is divided by 3, the digit  $c$  is the remainder when  $n$  is divided by 4, the digit  $d$  is the remainder when  $n$  is divied by 5, and the digit  $e$  is the reminader when  $n$  is divided by 6.  Find  $n$ .

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