{"schema":"vela.problem-packet.v0.1","problem":485,"statement":"Let $f(k)$ be the minimum number of terms in $P(x)^2$, where $P\\in \\mathbb{Q}[x]$ ranges over all polynomials with exactly $k$ non-zero terms. Is it true that $f(k)\\to\\infty$ as $k\\to \\infty$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}