solve sometimes gives a solution that includes the variables in ratvars, even when these variables are not in the equation to be solved:
solve([x^3+x+c],[x]),ratvars:[XXX] => result involving XXX
remark from Stavros Macrakis: This is clearly a bug, apparently specific to irreducible cubics.
Fixed by commit b433655. Thanks to Richard Fateman. Closing this report.