Slayer - Trying to understand what monsters will be assigned

So i'm working on a rather unique build, that is going to require me to get tasks from the Edgeville master.

Now i know you can't be assigned some tasks due to not having quests, or even a high enough combat, how do i figure out/check/calculate what exact list of monsters i'll be getting at any given time?

EDIT: Vannaka <--- The list of assignments Vannaka gives, but shows nothing about what it takes to get said task

 

The only locks in wildy slayer are slay level. I got an axe task when i didnt have thieve level to get in hut lmao