I've seen a few people trying their hands at the damage formula and a few people have come very close but I'd like to clear up any misconceptions about damage.

The formula takes the attack power of a card, multiplies it by any boosts possible, wizard, asparas, dryad and the like, subtracts that number by the defence, THEN multiplies by the elemental modifier which is either 1.5, 1 (if there's no interaction) or 0.6. Just as a side note, the game always rounds down, no matter what. If the damage was going to be 10.1 or 10.9 it'll be 10 damage.

You can use this to figure out the damage on any monster in the game and I absolutely guarantee it'll work every single time.

Lizardman on Elf Lord Z-powered with a Wizard and Gnome? 45 damage.

Phantom Ship's Land Lubber Mash on Body of the God Z-powered with a Wizard and Undine? 483 damage.

Same thing on a Kitty Trap? It'll say 10 because that's how much HP it has but it'll really do 742 damage.

Please feel free to test any of this out, but I've written out a quick summation of the formula below. Just as a note, you can have Asparas and Wizard out at the same time, but the effects will not stack. You'll only get a 1.5x boost.

Dmg = Final number to be taken from HP

Atk = Attack Power of Card Move used

Pow = Z Power Bonus with two options [Off|On]=[1.0|1.5]

Def = Defense of Entity Taking Damage

Elm = Element Advantage with three options [Advantage|NoAdvantage|DisAdvantage]=[1.5|1.0|0.6]

Asp|Wiz = Damage from Wizard Aura or Asparas Aura (does not stack) [Off|On]=[1.0|1.5]

Boon = Damage boost from (Element) Power-up (Dryad, Gnome, Salamander, Undine) [2|1]

(((Atk x Pow x Wiz|Asp x Bst) - Def) x Elm) = Dmg

So just to plug these in real quick, I'll be using Lizardman on Elf with a Wizard and Gnome.

(((18 x 1.5 x 1.5 x 2) - 3) x 1.5) x 0.6)

(((27 x 1.5 x 2) - 3) x 0.6)

(((40.5 x 2) - 3) x 0.6)

((81 - 3) x 0.6)

(78 x 0.6)

(46.8)

Rounded down, you get 46. And elf only has 40 hp so you kind of overkilled it a bit and you'll only see 40 pop up but please, try this formula out yourself.

Big thanks to Zayin aka 7th Armstrong for helping me figure out this big unwieldy mess of a formula. I'll be honest I was thinking of keeping this to myself but now that I see people have been getting so close, I decided to let the whole world know. Use it well!