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I was confused about doing the argument completion drills, and found a post that helped me figure it out. There was a question posted Feb 2, 2021 at 1:27 a.m titled "Missing Premise/Argument Completion Drills." The student typed a question and one of the tutors responded on Feb. 6, 2021. The explanation was helpful. I can also attempt to explain the first 3 drills. I'm not sure if your drills are numbered the same. P1: X ->Y P2: Y->Z C? First, we need to find a way to link common variables. If you make P1 and P2 a contrapositive you have P1: not Y -> not X P2: not Z -> not Y Then, for the conclusion start at P2: not Z -> not Y, which connects to P1: not Y -> not X: the answer is: not Z ->not Y ->not X or you can use the contrapositive. Note: the answer on the card shows only two variables and the contrapositive. X->Z or not Z->not X Drill 2: P1: A->not B P2:C->B C? to link them I used the contrapositive of P1 only: P1: B-> not A P2: C->B Then for the Conclusion: I started with P2: C->B which connects to P1 B-> not A. (C->B->not A) and the answer on the card uses two variables and it's contrapositive. C->not A or A-> not C Drill 3: P1: X->Y P2: X exists C? There is no need to use the contrapositive because X is sufficient and is sufficient in P1. . Start at P1: X->Y Conclusion: Y exists I hope that helps and reduces frustration and confusion!