
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
Given that the expanded fraction $F_1$ and $F_2$ become $.373737\cdots$ and $.737373\cdots$ in base $R_1$, and $.252525\cdots$ and $.525252\cdots$ in base $R_2$, calculate the sum of $R_1$ and $R_2$ written in the base ten.

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