LIGHT 4

Once per turn: You can pay 1000 LP; during your Main Phase this turn, you can Normal Summon 1 Cyberse monster, in addition to your Normal Summon/Set. (You can only gain this effect once per turn.) If this card is banished: You can Special Summon 1 Level 4 or lower monster from your hand. You can only use this effect of "Balancer Lord" once per turn.

FIRE 4

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.

EARTH 4

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.

FIRE 4

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.

EARTH 2

During either player's turn: You can send this card from your hand to the Graveyard; this turn, each time your opponent Special Summons a monster(s), immediately draw 1 card. You can only use 1 "Maxx "C"" per turn.

LIGHT 11

During the Main Phase, if your opponent Normal or Special Summoned 5 or more monsters this turn (Quick Effect): You can Tribute as many face-up monsters on the field as possible, and if you do, Special Summon this card from your hand, then Special Summon 1 "Primal Being Token" (Rock/LIGHT/Level 11/ATK ?/DEF ?) to your opponent's field. (This Token's ATK/DEF become the combined original ATK/DEF of the Tributed monsters.) You can only use this effect of "Nibiru, the Primal Being" once per turn.

EARTH 4

If a Token is Special Summoned (except during the Damage Step): You can Special Summon this card from the GY (if it was there when the Token was Special Summoned) or hand (even if not). You can only use this effect of "Token Collector" once per turn. If this card is Special Summoned: Destroy as many Tokens on the field as possible, and if you do, this card gains 400 ATK for each Token destroyed. Neither player can Special Summon Tokens.

WIND 10

1 Tuner + 1+ non-Tuner monsters Once per turn: You can target 1 card on the field; destroy it. Once while face-up on the field, when a card or effect is activated (Quick Effect): You can negate the activation, and if you do, destroy that card. You can only use the previous effect of "Baronne de Fleur" once per turn. Once per turn, during the Standby Phase: You can target 1 Level 9 or lower monster in your GY; return this card to the Extra Deck, and if you do, Special Summon that monster.

FIRE 12

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.

WATER 10

1 Tuner + 1+ non-Tuner monsters For each banished card, this card gains 100 ATK/DEF and monsters your opponent controls lose 100 ATK/DEF. If this card would be destroyed by card effect, you can banish 1 card from your GY instead. If a card(s) is banished (except during the Damage Step): You can banish 1 card each from both your opponent's field and GY. You can only use this effect of "Swordsoul Supreme Sovereign - Chengying" once per turn.

WIND 7

1 Tuner + 1+ non-Tuner monsters During your Main Phase: You can destroy Spells/Traps your opponent controls, up to the number of "@Ignister" monsters you control. If another card(s) you control is destroyed by battle or an opponent's card effect, while this card is on the field or in the GY: You can banish this card, then target 1 card your opponent controls; shuffle it into the Deck. You can only use each effect of "Wind Pegasus @Ignister" once per turn.

FIRE 8

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.

LIGHT 7

1 Tuner + 1+ non-Tuner monsters If this card is Synchro Summoned: You can send 1 monster from your Deck to the GY, whose Level is lower than this card's on the field, and if you do, reduce this card's Level by that monster's, but for the rest of this turn, you cannot activate the effects of monsters with the same name the sent monster had in the GY. You can only use this effect of "Shooting Riser Dragon" once per turn. Once per Chain, during your opponent's Main Phase, you can (Quick Effect): Immediately after this effect resolves, Synchro Summon using this card you control.

FIRE 3

When a card or effect is activated that includes any of these effects (Quick Effect): You can discard this card; negate that effect. ● Add a card from the Deck to the hand. ● Special Summon from the Deck. ● Send a card from the Deck to the GY. You can only use this effect of "Ash Blossom & Joyous Spring" once per turn.

LIGHT 1

During your opponent's Main Phase (Quick Effect): You can send this card from your hand to the GY, then target 1 Effect Monster your opponent controls; negate the effects of that face-up monster your opponent controls, until the end of this turn.

LIGHT 4

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. ● 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.

DARK 4

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.

LIGHT 4

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.

DARK

2+ Level 4 monsters This Xyz Summoned card gains 500 ATK x the total Link Rating of Link Monsters linked to this card. You can detach 2 materials from this card, then target 1 Link-4 Cyberse Link Monster in your GY; Special Summon it to your field so it points to this card, also you cannot Special Summon other monsters or attack directly for the rest of this turn.

LIGHT

2 Level 4 monsters When a monster declares an attack: You can detach 1 material from this card; negate the attack. If this card is targeted for an attack, while it has no material: Destroy this card.

FIRE

3 Level 4 monsters When this card is Special Summoned: You can target 1 monster your opponent controls; this card gains ATK equal to that monster's current ATK. If your opponent controls more cards than you do: You can detach 1 Xyz Material from this card, then choose 1 unused Main Monster Zone or Spell & Trap Zone; while this card is face-up on the field, that zone cannot be used.

DARK

2 Level 4 monsters You can target 1 face-up Xyz Monster you control; equip this monster you control to that target. It gains 1200 ATK. You can detach 1 Xyz Material from this card, then target 1 card in your opponent's Graveyard; banish that target. You can use this effect of "Number 80: Rhapsody in Berserk" up to twice per turn.

LIGHT

3 Level 5 LIGHT monsters You can also Xyz Summon this card by using a Rank 4 "Utopia" monster you control as material. (Transfer its materials to this card.) Cannot be used as material for an Xyz Summon. If this card battles, your opponent cannot activate cards or effects until the end of the Damage Step. Once per Chain, during damage calculation, if this card battles an opponent's monster while this card has a "Utopia" Xyz Monster as material (Quick Effect): You can detach 2 materials from this card; this card's ATK becomes 5000 during that damage calculation only.

EARTH

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; ● 2: Add 1 "Mathmech" card from your Deck to your hand. ● 3: Add 1 Level 4 monster from your Deck to your hand. ● 4: Add 1 Spell/Trap from your Deck to your hand. You can only use each effect of "Primathmech Alembertian" once per turn.

EARTH

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); ● Send 1 random card from your opponent's hand to the GY. ● Send 1 monster your opponent controls to the GY. ● Send 1 Spell/Trap your opponent controls to the GY. You can only use this effect of "Primathmech Laplacian" once per turn.

DARK

3 Level 10 Winged Beast-Type monsters Unaffected by other cards' effects. You can detach 1 Xyz Material from this card; for the rest of this turn, all monsters your opponent controls will lose 1000 ATK, also your opponent's cards and effects cannot be activated. If this card has a "Raidraptor" monster as Xyz Material, it gains this effect. ● Once per turn, during the End Phase: You can make all monsters your opponent controls lose 1000 ATK. If your opponent controls no face-up monsters, inflict 1000 damage to your opponent.

Spell Quick

Target 1 monster in your opponent's GY; banish it, and if you do, until the end of the next turn, its effects are negated, as well as the activated effects and effects on the field of monsters with the same original name.

Spell Normal

Send 1 card from your hand to the GY; add 1 Level 4 or lower Cyberse monster from your Deck to your hand. You can only activate 1 "Cynet Mining" per turn.

Spell Continuous

If your "Code Talker" monster battles, your opponent cannot activate cards or effects until the end of the Damage Step. During your Main Phase, you can: Immediately after this effect resolves, Normal Summon 1 Cyberse monster, also you cannot Special Summon monsters from the Extra Deck for the rest of this turn, except Cyberse monsters (even if this card leaves the field). You can only use this effect of "Cynet Optimization" once per turn.

Spell Normal

Send 1 monster from your Deck to the GY.

Spell Normal

Destroy all Spell and Trap Cards your opponent controls.

Spell Equip

Equip only to a Cyberse monster. If the equipped monster battles an opponent's monster, during damage calculation: You can send 1 "Mathmech" monster from your Deck to the GY; the equipped monster gains ATK equal to the sent monster's ATK, until the end of this turn (even if this card leaves the field). If this card is sent from the Spell & Trap Zone to the GY: You can target 1 "Mathmech" card in your GY, except "Mathmech Billionblade Nayuta"; add it to your hand. You can only use each effect of "Mathmech Billionblade Nayuta" once per turn.

Spell Normal

Target 1 "Mathmech" monster in your GY; Special Summon it, and if you do, it gains 1000 ATK until the end of this turn. You can only activate 1 "Mathmech Equation" per turn.

Spell Normal

Target 1 monster in either GY; Special Summon it.

Trap Normal

Target 1 face-up monster your opponent controls; negate its effects (until the end of this turn), then, if this card was Set before activation and is on the field at resolution, for the rest of this turn all other Spell/Trap effects in this column are negated. If you control no cards, you can activate this card from your hand.

Trap Continuous

All Cyberse monsters you control gain 500 ATK. If you control a "Mathmech" monster: You can send this face-up card from the field to the GY, then target 1 card your opponent controls; destroy it. You can only use this effect of "Mathmech Induction" once per turn.

Trap Normal

Target up to 3 "Mathmech" monsters in your GY with different names, then activate 1 of these effects; ● Special Summon them, but their effects are negated, then, immediately after this effect resolves, Synchro Summon 1 "Mathmech" Synchro Monster using only those monsters, and shuffle the materials into the Deck instead of sending them to the GY. ● Special Summon them, but their effects are negated, then, immediately after this effect resolves, Xyz Summon 1 "Mathmech" Xyz Monster using only those monsters. You can only activate 1 "Mathmech Superfactorial" per turn.

Trap Normal

If this Set card in its owner's control has left the field because of an opponent's effect, and is now in the GY or banished: You can Special Summon 1 monster from your Deck or Extra Deck.

EARTH 2

During either player's turn: You can send this card from your hand to the Graveyard; this turn, each time your opponent Special Summons a monster(s), immediately draw 1 card. You can only use 1 "Maxx "C"" per turn.

LIGHT 11

During the Main Phase, if your opponent Normal or Special Summoned 5 or more monsters this turn (Quick Effect): You can Tribute as many face-up monsters on the field as possible, and if you do, Special Summon this card from your hand, then Special Summon 1 "Primal Being Token" (Rock/LIGHT/Level 11/ATK ?/DEF ?) to your opponent's field. (This Token's ATK/DEF become the combined original ATK/DEF of the Tributed monsters.) You can only use this effect of "Nibiru, the Primal Being" once per turn.

WIND 10

1 Tuner + 1+ non-Tuner monsters Once per turn: You can target 1 card on the field; destroy it. Once while face-up on the field, when a card or effect is activated (Quick Effect): You can negate the activation, and if you do, destroy that card. You can only use the previous effect of "Baronne de Fleur" once per turn. Once per turn, during the Standby Phase: You can target 1 Level 9 or lower monster in your GY; return this card to the Extra Deck, and if you do, Special Summon that monster.

FIRE 12

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.

WATER 10

1 Tuner + 1+ non-Tuner monsters For each banished card, this card gains 100 ATK/DEF and monsters your opponent controls lose 100 ATK/DEF. If this card would be destroyed by card effect, you can banish 1 card from your GY instead. If a card(s) is banished (except during the Damage Step): You can banish 1 card each from both your opponent's field and GY. You can only use this effect of "Swordsoul Supreme Sovereign - Chengying" once per turn.

FIRE 3

When a card or effect is activated that includes any of these effects (Quick Effect): You can discard this card; negate that effect. ● Add a card from the Deck to the hand. ● Special Summon from the Deck. ● Send a card from the Deck to the GY. You can only use this effect of "Ash Blossom & Joyous Spring" once per turn.

LIGHT 1

During your opponent's Main Phase (Quick Effect): You can send this card from your hand to the GY, then target 1 Effect Monster your opponent controls; negate the effects of that face-up monster your opponent controls, until the end of this turn.

LIGHT

2 Level 4 monsters When a monster declares an attack: You can detach 1 material from this card; negate the attack. If this card is targeted for an attack, while it has no material: Destroy this card.

LIGHT

3 Level 5 LIGHT monsters You can also Xyz Summon this card by using a Rank 4 "Utopia" monster you control as material. (Transfer its materials to this card.) Cannot be used as material for an Xyz Summon. If this card battles, your opponent cannot activate cards or effects until the end of the Damage Step. Once per Chain, during damage calculation, if this card battles an opponent's monster while this card has a "Utopia" Xyz Monster as material (Quick Effect): You can detach 2 materials from this card; this card's ATK becomes 5000 during that damage calculation only.

EARTH

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; ● 2: Add 1 "Mathmech" card from your Deck to your hand. ● 3: Add 1 Level 4 monster from your Deck to your hand. ● 4: Add 1 Spell/Trap from your Deck to your hand. You can only use each effect of "Primathmech Alembertian" once per turn.

DARK

3 Level 10 Winged Beast-Type monsters Unaffected by other cards' effects. You can detach 1 Xyz Material from this card; for the rest of this turn, all monsters your opponent controls will lose 1000 ATK, also your opponent's cards and effects cannot be activated. If this card has a "Raidraptor" monster as Xyz Material, it gains this effect. ● Once per turn, during the End Phase: You can make all monsters your opponent controls lose 1000 ATK. If your opponent controls no face-up monsters, inflict 1000 damage to your opponent.

Spell Quick

Target 1 monster in your opponent's GY; banish it, and if you do, until the end of the next turn, its effects are negated, as well as the activated effects and effects on the field of monsters with the same original name.

Spell Normal

Send 1 card from your hand to the GY; add 1 Level 4 or lower Cyberse monster from your Deck to your hand. You can only activate 1 "Cynet Mining" per turn.

Spell Normal

Send 1 monster from your Deck to the GY.

Spell Normal

Destroy all Spell and Trap Cards your opponent controls.

Spell Normal

Target 1 monster in either GY; Special Summon it.

Trap Normal

Target 1 face-up monster your opponent controls; negate its effects (until the end of this turn), then, if this card was Set before activation and is on the field at resolution, for the rest of this turn all other Spell/Trap effects in this column are negated. If you control no cards, you can activate this card from your hand.

Trap Normal

If this Set card in its owner's control has left the field because of an opponent's effect, and is now in the GY or banished: You can Special Summon 1 monster from your Deck or Extra Deck.