
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
Compute the following sum:
\[
\frac{3 + 10}{8^{50}} + \frac{3 + 2 \cdot 10}{8^{49}} + \frac{3 + 3 \cdot 10}{8^{48}} + \dots + \frac{3 + 48 \cdot 10}{8^3} + \frac{3 + 49 \cdot 10}{8^2} + \frac{3 + 50 \cdot 10}{8}.
\]

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