
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, four workers, Niraek, Theo, Akshaj, and Lily, are coating spherical donut holes in powdered sugar. Niraek's donut holes have a radius of 5 mm, Theo's donut holes have a radius of 9 mm, Akshaj's donut holes have a radius of 10 mm, and Lily's donut holes have a radius of 7 mm. Assuming the powdered sugar coating has negligible thickness and is evenly distributed on all donut holes, how many donut holes will Niraek have covered by the first time all four workers finish their current donut hole at the same time?

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