
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
Following the order of Tsar Gorokh, General Mushtralkin attempted to arrange all the soldiers in rows of 2, and then in rows of $3,4,5,6,7,8,9,10$, but to his surprise, each time the last row ended up incomplete, with $1,2,3,4,5,6,7,8,9$ soldiers left respectively.

What is the smallest number of soldiers there could be?

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