Alright, so I'm a Master's student in a top-15 graduate program, and I am sending in my Ph.d. applications this fall. I definitely want to get into a good program, and I plan to devote at least 2 months to polishing my writing sample. I got recommendation letters from professors that gave me 'As' in their courses. I have two B+s, but other than that, seven As and one A-. Also, I have written a book on philosophy and skepticism that is being published. Unusual perhaps given my age and (lack of) education, but I was determined to contribute something to a debate that was important to me. Plus I'm hoping that that little extra credential will help my application stand out. All in all I'd say the strongest part of my application is going to be my writing sample. It is going to be outstanding. Only weakness, GREs, 6.0 on the Analytical Writing section, 780 on Verbal, but only 630 on Math. Talked to one admissions committee person, he said they don't look so much at transcripts, but that letters of recommendation and writing sample are truly paramount. What would you say my chances of getting into a (really) good program are?