Yeah, it's pretty painful to lose one of these red hearts, but this is a machine. My heart aches when I mistype a word and lose a point, but the programme is still good and it teaches you German. Cheers up! :-)
"The teacher likes the cups." and "The teacher wants the cups." Like and Want are the same word? Or just in this context? But even so how would you know if they like something or want something?
You have to figure it out from the context. The word mögen really can mean both like and want.
You can tell from the use of the conditional (Konjunktiv II) form. Think of “want” as “would like”: “The teacher wants (=would like) the cups.” is ‘Der Lehrer möchte die Tassen.’.
I seem to remember that earlier there was an example where "Lehrer" was translated as "instructor", but here that word is rejected in favor of "teacher".