
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
For any positive integers \( m \) and \( n \), define \( r(m, n) \) as the remainder of \( m \div n \) (for example, \( r(8,3) \) represents the remainder of \( 8 \div 3 \), so \( r(8,3) = 2 \)). What is the smallest positive integer \( m \) that satisfies the equation \( r(m, 1) + r(m, 2) + r(m, 3) + \cdots + r(m, 10) = 4 \)?

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