
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
Let \( a_1, a_2, \ldots \) be an infinite sequence of integers such that \( a_i \) divides \( a_{i+1} \) for all \( i \geq 1 \), and let \( b_i \) be the remainder when \( a_i \) is divided by 210. What is the maximal number of distinct terms in the sequence \( b_1, b_2, \ldots \)?

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