
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 fifth of Ellie's erasers are pink, one sixth of them are orange, and ten of them are purple, determine the smallest number of white erasers that Ellie could have.

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