
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 one quarter of Marcy's marbles are blue, one fifth of them are red, and ten of them are green, determine the smallest number of yellow marbles that Marcy could have.

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