
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
Given that three-fifths of the boys and $\frac{2}{3}$ of the girls passed a science test, and the number of boys who passed is twice the number of girls who passed, find the smallest possible number of students in Ms. Arden's class.

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