
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
Positive integer  $n$  when divided with number  $3$  gives remainder  $a$ , when divided with  $5$  has remainder  $b$  and when divided with  $7$  gives remainder  $c$ . Find remainder when dividing number  $n$  with  $105$  if  $4a+3b+2c=30$ 

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