
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
Consider the arithmetic sequence given by the formula $$2 + 7 + 12 + 17 + ... + 132 + 137.$$ Find the value of $m$, where $0 \leq m < 20$ and the sum of the series $$S \equiv m \pmod{20}.$$

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