
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
There are two arithmetic sequences: $2$, $6$, $10$, $\ldots$, $190$ and $2$, $8$, $14$, $\ldots$, $200$. A new sequence is formed by arranging the common terms of these two sequences in ascending order. Find the sum of the terms of this new sequence.

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