
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
While Jenny and Mark are fishing 2 miles from shore, their boat begins to leak, with water entering at a constant rate of 8 gallons per minute. The boat will sink if it takes in more than 50 gallons of water. Jenny starts rowing towards the shore at a constant rate of 3 miles per hour while Mark bails water out of the boat. Calculate the slowest rate, in gallons per minute, at which Mark can bail if they are to reach the shore without sinking.

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