trade paperback : Often used to indicate any paperback book that is somewhat larger than a mass-market paperback.

remainder mark : Usually an ink marking of some sort which indicates that the book was designated a remainder. In most cases, it can be found on the edges of the text block in the form of a marker stripe or a stamp of some sort.

Remainder marks considerably lower the overall collectibility of a title, although, in some cases, they are acceptable to a collector.

As New : "the book is in the same immaculate condition in which it was published. There can be no defects, no missing pages, no library stamps, etc., and the dust jacket (if it was issued with one) must be perfect without any tears." Condition definition from AB Bookman's Weekly.