
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, Niraek, Theo, and Akshaj are coating spherical donut holes in chocolate. Niraek's donut holes have a radius of 5 mm and he works at a rate of 2 donut holes per minute, Theo's donut holes have a radius of 7 mm and he works at a rate of 3 donut holes per minute, and Akshaj's donut holes have a radius of 9 mm and he works at the standard rate of 1 donut hole per minute. Assuming that the chocolate coating has negligible thickness and is distributed equally on all donut holes, how many donut holes will Niraek have covered by the first time all three workers finish their current donut hole at the same time?

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