
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 two fifths of Jamie's marbles are blue, one third of her marbles are red, and four of them are green, determine the smallest number of yellow marbles Jamie could have.

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