Selecting trig, "A right triangle has tanθ= ¾. If the side adjacent to θ is 30, what is the length of the opposite side?" The language/grammar is imprecise. What's it mean for a triangle to "have" tanθ= ¾? Should be that the triangle has an angle θ such that has tanθ= ¾. Also, "If the side adjacent to θ is 30 …" should refer to the "leg" adjacent θ; the hypotenuse is also a side adjacent to θ.

Taking the diagnostic, I just got the question "What is the opposite of -2?" Is it +2? Is it -½?

Edit: I restarted, selecting just Abstract Algebra as my diagnostic topic, and was shocked to get this question again! In Abstract Algebra! So far none of the questions in Abstract Algebra have anything to do with Abstract Algebra …