How do I cross the troll bridge

Hint 1 of 5:

You could just bribe the troll, although you'll lose a treasure.

Hint 2 of 5:

Butt, there is another way to solve the puzzle.

Hint 3 of 5:

Have you found the carrot growing in the garden?

Hint 4 of 5:

Have you found the goat behind the fence?