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May 24, 2019 at 18:12 comment added Alexandre Eremenko I don't know but if you type "complexity of elimination" on the Google, you immediately get a list of papers on the subject.
May 24, 2019 at 18:07 comment added Turbo Is this just plain vanilla elimination theory? Would you know the complexity when there are no linear terms and no $x_i^2$ terms (there are only $x_ix_j$ terms and constant term)?
May 24, 2019 at 18:07 vote accept Turbo
May 24, 2019 at 18:05 comment added Alexandre Eremenko @Brout: yes, $n$ will not be enough.
May 24, 2019 at 18:02 comment added Turbo So $n+1$ random equations needed even if $1$ planted solution?
May 24, 2019 at 12:12 history answered Alexandre Eremenko CC BY-SA 4.0