
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
A customer wanted to buy all the eggs the seller had and asked how many eggs she had. She replied that she couldn't remember the exact number, but she knew that if the eggs were divided into groups of 2, 3, 4, 5, or 6, there would always be one egg left over. What is the smallest number of eggs the seller could have had?

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