There's no forced mate for white. If 30.Qf8+, you can play Kd7 instead. Any further checking after that would be imprudent -- for instance, 31. Qf7+ Ne7 Qc4 Qd5 pretty much forces a Q exchange because of the threat of e3+.
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A game I played for my school last week. While creating the board just now I realized my opponent had a forced mate that he missed while under time pressure. Any additional analysis is greatly appreciated.