
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
When Jeremy divides his beads into groups of 5, 7, or 9, he has two beads left over. Assuming Jeremy has more than one bead, what is the smallest possible number of beads in Jeremy's collection?

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