1 Tuner + 1+ non-Tuner monsters
Unaffected by card effects, except "Mathmech" cards, while in the Extra Monster Zone. If this card in the Extra Monster Zone battles an opponent's monster, any battle damage it inflicts to your opponent is doubled. If this card is destroyed by battle, or if this card in its owner's possession is destroyed by an opponent's card effect: You can add 1 "Mathmech" card from your Deck to your hand. You can only use this effect of "Geomathmech Final Sigma" once per turn.
1 Tuner + 1+ non-Tuner monsters
When this card destroys a monster by battle: You can target up to 2 cards your opponent controls; destroy them. If this card is destroyed by battle, or if this card in its owner's possession is destroyed by an opponent's card effect: You can add 1 "Mathmech" Spell/Trap from your Deck to your hand. You can only use each effect of "Geomathmech Magma" once per turn.
You can target 1 face-up monster on the field; you cannot Special Summon monsters from the Extra Deck for the rest of this turn, except Cyberse monsters, also Special Summon this card from your hand (but it cannot attack this turn), and if you do, the targeted monster gains 1000 ATK until the end of this turn. You can only use this effect of "Mathmech Addition" once per turn.
You can send 1 "Mathmech" monster, except "Mathmech Circular", from your Deck to your GY; Special Summon this card from your hand, also you can only attack with 1 monster for the rest of this turn. If a "Mathmech" monster is Normal or Special Summoned to your field while you control this monster (except during the Damage Step): You can add 1 "Mathmech" Spell/Trap from your Deck to your hand. You can only use each effect of "Mathmech Circular" once per turn.
When this card is Normal Summoned: You can target 1 Level 4 Cyberse monster in your GY; Special Summon it, but it cannot activate its effects. A "Mathmech" monster that was Synchro or Xyz Summoned using this card on the field as material gains the following effect.
â—Ź Once per turn, during the turn this card was Special Summoned, when your opponent activates a card or effect (Quick Effect): You can negate that effect.
You can only use each effect of "Mathmech Diameter" once per turn.
You can Tribute 1 Cyberse monster you control in the Extra Monster Zone; Special Summon up to 1 Level 4 Cyberse monster each from your hand and GY. If this card is sent to the GY: You can target 1 face-up monster on the field; its ATK becomes halved until the end of this turn. You can only use each effect of "Mathmech Division" once per turn.
You can target 1 Level 4 Cyberse monster you control; its Level becomes 8 until the end of this turn. If this card is sent to the GY: You can target 1 Cyberse monster you control in the Extra Monster Zone; its ATK becomes doubled until the end of this turn. You can only use each effect of "Mathmech Multiplication" once per turn.
You can Tribute 1 Cyberse monster; Special Summon 1 "Mathmech" monster from your Deck. If this card is sent to the GY: You can target 1 Cyberse monster you control in the Extra Monster Zone; it can make up to 2 attacks on monsters during each Battle Phase this turn. You can only use each effect of "Mathmech Nabla" once per turn.
If you control no monsters in the Extra Monster Zone, while this card is in your hand or GY: You can Special Summon this card, but banish it when it leaves the field, also you cannot Special Summon monsters from the Extra Deck for the rest of this turn, except Cyberse monsters. You can only use this effect of "Mathmech Sigma" once per turn. If this card you control is used as Synchro Material for a "Mathmech" monster, you can treat it as a non-Tuner.
You can target 1 face-up monster on the field; you cannot Special Summon monsters from the Extra Deck for the rest of this turn, except Cyberse monsters, also Special Summon this card from your hand (but it cannot attack this turn), and if you do, the targeted monster loses 1000 ATK until the end of this turn. You can only use this effect of "Mathmech Subtraction" once per turn.
2+ Level 4 monsters
You can Tribute 1 monster; Special Summon 1 Level 4 "Mathmech" monster from your hand or GY. If this card is Xyz Summoned: You can detach 2 to 4 materials from this card, then activate the appropriate effect;
â—Ź 2: Add 1 "Mathmech" card from your Deck to your hand.
â—Ź 3: Add 1 Level 4 monster from your Deck to your hand.
â—Ź 4: Add 1 Spell/Trap from your Deck to your hand.
You can only use each effect of "Primathmech Alembertian" once per turn.
3 Level 4 monsters
If a "Mathmech" card(s) you control would be destroyed by card effect, you can detach 1 material from this card instead. If this card is Xyz Summoned: You can detach up to 3 materials from it, then choose that many effects (you cannot choose the same effect twice, and you resolve them in the listed order, skipping any that were not chosen);
â—Ź Send 1 random card from your opponent's hand to the GY. â—Ź Send 1 monster your opponent controls to the GY. â—Ź Send 1 Spell/Trap your opponent controls to the GY.
You can only use this effect of "Primathmech Laplacian" once per turn.