
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
One fifth of Marcy's marbles are blue, twice as many marbles are red as green, and she has 10 green marbles. Find the smallest number of yellow marbles that Marcy could have.

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