
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
Let x be the number of holes the rabbit dug, and y be the number of holes the fox dug. Since the rabbit placed 3 carrots in each hole and the fox placed 5 carrots in each hole, and both ended up storing the same total number of carrots, the equation representing the situation is 3x = 5y. Additionally, since the fox required 6 fewer holes than the rabbit, the equation representing the difference in the number of holes is  x - y = -6.

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