
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
A group of students from Sequoia High School is volunteering for a local park cleaning event. The ratio of 9th-graders to 7th-graders is 3 : 2 while the ratio of 9th-graders to 6th-graders is 7 : 4. Determine the smallest number of students that could be volunteering in this event.

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