Let's settle this. The name of trick is the addition of all rotation involved. So, for example, a misty is a front flip with a 180, thus it is a 540 degree spin. So a Misty 7 is when the rider is doing a front flip (360 degrees) with a 360 degree lateral spin, hence the 720. So when someone says a kangaroo 900, they are meaning a double lincoln (two vertical 360s) with a 180.
As for definition of trick base, they are as follows:
Rodeo: Lincoln with lateral spin. Misty: Front flip with lateral spin. Flare: Backflip with a 180. D-Spin: back flip with at least a 360. Flatspin: off-axis rodeo in which the rider never inverts. Bio: Forward pitch flatspin. Cork: opposite of bio.
Anyone who is in the know, feel free to add. But if you are speculating on an argument, don't post something as fact. I am pretty confident of the accuracy of the above definitions, but am humble enough to confess that it is definitely possible for someone to correct me. Enjoy!