So my scores, research, letters are all pretty good. I've got a 3.7 gpa as a math and physics major from a top 25 school (physics gpa is 3.85). Here's the problem, I failed a 500 level math course as a sophomore. I took the course before I had had a good introduction to proofs and abstract math, not realizing how proof based the course would be and I got my *** handed to me; it wasn't required for my math major so I never retook it (I can still retake it next semester if you think it will help). I should have withdrawn from the course but... I'm an idiot. My question is how much does this one class detract from the rest of my application. As stated above, in spite of that class, my total gpa is 3.7 which is I think, in the range of consideration for many top programs. Do you think they will evaluate the 3.7 as basically a just another 3.7 or will the fact that it's a result of failing a class make me significantly less attractive?