
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
Rectangles $R_1$ and $R_2$, and squares $S_1$, $S_2$, and $S_3$, form a large rectangle that is 3030 units wide and 2000 units high. Assume that $S_1$ and $S_3$ now have sides of $r + 2s$, where $r$ is the width of rectangles $R_1$ and $R_2$, and $s$ is the side length of square $S_2$. Determine the side length of $S_2$.

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