Remove a value in a list with jq

Question

If I have a list like:

{
  "animals": [
    "wolf",
    "bear",
    "cat",
    "lion",
    "snake",
    "tortise",
    "squirrel"
  ]
}

and I want to remove "bear" from the list. I found I can use:

jq 'del( .animals[1] )' animals.json

What if I want to remove a value by it's value name ie "bear"?