OME 1971 Problem 1

Calculate $\sum_{k=5}^{k=49}\frac{11_(k}{2\sqrt[3]{1331_(k}}$ knowing that the numbers $11$ and $1331$ are written in base $k \ge 4$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.