
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 integers \( r \) and \( k \) are randomly selected, where \( -5 \leq r \leq 7 \) and \( -3 \leq k \leq 6 \) excluding \( k = 0 \). What is the probability that the division \( r \div k \) results in an integer value? Express your answer as a common fraction.

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