Bayern Munich and Schalke are guaranteed UEFA Champions League football next season, while Cologne will be playing in Bundesliga 2 once again in 2018/19 after finishing bottom. But what are the remaining teams playing for heading into the final Matchday?

bundesliga.com has brought out the calculator and brings you all the possible permutations to look out for on the final day of the season.

Two places gone, two remaining with five teams mathematically in with a shout of joining Bayern and Schalke in next season’s Champions League group stage with four Bundesliga teams guaranteed a place. Fifth place sees qualification for the UEFA Europa League group stage, while sixth sees entry into the second qualifying round. That could, however, change if Bayern win the DFB Cup against Eintracht Frankfurt on 19 May, with seventh place entering the second qualifying round and sixth going into the group stage.

Champions League: Win, draw or lose by one goal at Hoffenheim to finish third. A loss by a two-goal margin sees BVB finish fourth assuming Bayer Leverkusen fail to beat Hannover by at least five goals.
Europa League: Lose by at least two goals at Hoffenheim, combined with a Leverkusen win big enough for a six-goal swing.
No European football: Borussia are guaranteed European football next season.

Watch: Champions League qualification “at all cost” for Reus and Dortmund

Champions League: Beat Dortmund by at least two goals to finish third. Beat BVB by one goal to finish fourth, assuming Leverkusen fail to win by more than four goals. Draw against Borussia to finish fourth if Leverkusen or Leipzig fail to win. Lose to Dortmund as long as Leverkusen lose, and Leipzig or Frankfurt fail to win (Eintracht require a 15-goal swing).
Europa League: If Hoffenheim only beat BVB by one goal, a Leverkusen win over Hannover by at least five goals would see TSG finish fifth. A Hoffenheim draw and Leverkusen win would see the same result. That and a Leipzig win by 16 goals at Hertha Berlin would see Julian Nagelsmann’s side finish sixth. A loss combined with a Leverkusen point leaves TSG fifth assuming Leipzig or Frankfurt fail to win. They will finish sixth if Leverkusen claim a point, Leipzig win and Frankfurt fail to win by 15 goals.
No European football: Hoffenheim will only finish seventh if Leverkusen claim a point, Leipzig win and Frankfurt overturn a 15-goal deficit to TSG with victory at Schalke.

Owned by Bayern Munich and joining Schalke, can Serge Gnabry (l.) and Mark Uth (r.) get Hoffenheim into the Champions League in their final games for the club? © gettyimages / Grimm / Bongarts

Champions League: Better Hoffenheim’s result against Dortmund to finish fourth. If TSG claim victory, Die Werkself’s winning margin against Hannover needs to be four goals greater than that of Julian Nagelsmann’s side. More than four goals greater than Hoffenheim’s winning margin, and Leverkusen can finish third. They could also lose and still finish fourth provided Leipzig fail to win and TSG also lose by five goals more than Leverkusen (assuming Frankfurt fail to overturn a 12-goal difference).
Europa League: Failure to better Hoffenheim’s result, combined with Leipzig and Frankfurt dropping points, means a fifth-place finish. Better the results of Leipzig and Frankfurt, and it’s also fifth place. A draw means at least sixth place, but only a Leipzig win by 14 goals in Berlin would see Die Werkself drop a place. A loss would also likely mean Europa League with Frankfurt needing to overturn a 12-goal deficit.
No European football: Only a loss, combined with a win for Leipzig and one for Frankfurt big enough to overturn a 12-goal difference, would see Leverkusen drop to seventh.

Licking his lips for the Champions League? Leon Bailey could be in for a first taste of European football with Bayer Leverkusen next season. © imago / Joerg Schueler

Champions League: A Leipzig win combined with losses for Hoffenheim and Leverkusen means RBL will qualify for a second consecutive Champions League group stage in fourth. Should both of those two sides draw, Die Roten Bullen would need to win by 16 goals in Berlin. If Leverkusen draw and Hoffenheim lose, RBL need to win by 13 goals.
Europa League: Win and it’s at least the top six for Leipzig. Draw and they’re safe providing Frankfurt drop points or Stuttgart fail to win by four goals in Munich. Lose in Berlin and they’re still safe in the top six provided Frankfurt lose, and Stuttgart and Borussia Mönchengladbach both fail to win.
No European football: A draw combined with a win for either Frankfurt or Stuttgart sees Leipzig drop out of the top six. Lose and they risk finishing outside the European places if Eintracht win/draw, or Stuttgart win or Gladbach are victorious at Hamburg by at least four goals.

Champions League: It’s an outside shot for Niko Kovac’s side who need Hoffenheim and Leverkusen both to lose, Leipzig to fail to win, and then win themselves at Schalke by a big enough scoreline to overturn a 15 goal deficit to TSG.
Europa League: Better Leipzig’s result and they’re in the top six. If Leverkusen and Leipzig both win, but Hoffenheim lose, Eintracht need to beat Schalke with a 16-goal swing compared to TSG. Win the DFB Cup and they qualify automatically for the group stage.
No European football: Lose or fail to better Leipzig’s result and they cannot finish in the top six. Failure to overturn an 11-goal difference over Leverkusen should Die Werkself lose.

Already well travelled around Europe, could Kevin-Prince Boateng (l.) be pointing the way for Eintracht Frankfurt back to the continental stage? © imago

Europa League: A win at Bayern combined with a loss for Leipzig and Frankfurt’s failure to win, or a victory by at least four goals in Munich should RBL and Eintracht draw.
No European football: Anything other than a win in the above combination.

Europa League: To finish sixth Gladbach must win, while Leipzig lose, and Frankfurt and Stuttgart both drop points. If Eintracht lose, Borussia need to win by four against Hamburg. It will be five if the Eagles draw.
No European football: Anything other than the above.

The sound of Europe? Will Thorgan Hazard be joining his brother Eden on the continental stage next season with Gladbach? © gettyimages / Lars Baron

Hertha, Augsburg, Werder Bremen, Hannover and Mainz cannot qualify for Europe and are all safe from relegation.

Cologne are guaranteed to finish bottom, but one automatic relegation position is yet to be confirmed with either Wolfsburg or Hamburg set to join the Billy Goats. Those two and Freiburg are the only teams who could contest the relegation play-off against Holstein Kiel.

Safety: A point at home to Augsburg, or a loss and Wolfsburg’s failure to beat Cologne and they are safe.
Play-off: Only a loss at home to Augsburg combined with a Wolfsburg win over Cologne will see them drop to 16th and contest the relegation play-off.
Relegated: They cannot face automatic relegation.

He’s been there and done it before: Christian Streich has been to Europe, suffered relegation and promotion with Freiburg. © gettyimages / Martin Rose

Safety: Only a win over Cologne and a Freiburg loss will save Bruno Labbadia’s side.
Play-off: Wolfsburg simply have to match Hamburg’s result against Gladbach to contest a second consecutive play-off. Should they draw, any Hamburg win under 10 goals leaves them 16th.
Relegated: Only a HSV win could see the Wolves relegated. If Wolfsburg lose, any Hamburg win will do. If they draw, Hamburg need to beat Gladbach by 10 goals.

Could Wolfsburg and Maximilian Arnold be about to suffer the drama of the relegation play-off for the second year in a row? © gettyimages / Matthias Kern

Safety: Hamburg cannot secure automatic survival.
Play-off: Only a win will suffice against Gladbach provided Wolfsburg fail to win. If the Wolves lose at home to Cologne, any victory will do. If they draw, HSV need to win by 10 goals.
Relegated: Lose or draw and HSV’s honour of being the Bundesliga’s only ever-present club is over. A Wolfsburg win relegates them regardless of their own result. If the Wolves draw, no HSV win by fewer than 10 goals will be enough.

Watch: Holtby: “It isn’t over until it’s over”

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