
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
It is given that \( m \) and \( n \) are two natural numbers and both are not greater than 10. If \( c \) is the number of pairs of \( m \) and \( n \) satisfying the equation \( mx = n \), where \( \frac{1}{4} < x < \frac{1}{3} \), find \( c \).

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