
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
Consider three positive integers that, when divided by 30, have remainders 15, 5, and 20 respectively. 

When the sum of these three integers is divided by 30, what is the remainder?

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