
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
At the MP Donut Hole Factory, Sen, Jamie, and Mel are coating spherical donut holes in chocolate. Sen's donut holes have a radius of 5mm, Jamie's have a radius of 7mm, and Mel's have a radius of 9mm. They all coat their donut holes at the same rate and begin simultaneously. Assuming that the chocolate layer has a negligible thickness and spreads evenly over each donut hole, how many donut holes will Sen have coated when all three workers finish coating a donut hole at the same time for the first time?

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