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If an ability would produce one or more mana of an undefined type, it produces no mana instead.

Some abilities produce mana based on the type of mana another permanent or permanents “could produce.” The type of mana a permanent could produce at any time includes any type of mana that an ability of that permanent would produce if the ability were to resolve at that time, taking into account any applicable replacement effects in any possible order. Ignore whether any costs of the ability could or could not be paid. If that permanent wouldn’t produce any mana under these conditions, or no type of mana can be defined this way, there’s no type of mana it could produce.

To “tap [a permanent] for mana” is to activate a mana ability of that permanent that includes the {T} symbol in its activation cost. See rule 605, “Mana Abilities.”

An ability that triggers whenever a permanent “is tapped for mana” or is tapped for mana of a specified type triggers whenever such a mana ability resolves and produces mana or the specified type of mana.

A replacement effect that applies if a permanent “is tapped for mana” or tapped for mana of a specific type and/or amount modifies the mana production event while such an ability is resolving and producing mana or the specified type and/or amount of mana.

If an object’s enters-the-battlefield triggered ability or replacement effect refers to X, and the spell that became that object as it resolved had a value of X chosen for any of its costs, the value of X for that ability is the same as the value of X for that spell, although the value of X for that permanent is 0. This is an exception to rule 107.3i.

The tap symbol is {T}. The tap symbol in an activation cost means “Tap this permanent.” A permanent that’s already tapped can’t be tapped again to pay the cost. A creature’s activated ability with the tap symbol in its activation cost can’t be activated unless the creature has been under its controller’s control continuously since their most recent turn began. See rule 302.6.

The untap symbol is {Q}. The untap symbol in an activation cost means “Untap this permanent.” A permanent that’s already untapped can’t be untapped again to pay the cost. A creature’s activated ability with the untap symbol in its activation cost can’t be activated unless the creature has been under its controller’s control continuously since their most recent turn began. See rule 302.6.

For each creature card exiled with Lukka's first ability, you can cast it as long as you control any Lukka planeswalker, not just the one that exiled the card.

If a creature card in a player's library or a creature on the battlefield has {X} in its mana cost, X is considered to be 0.

You still pay any costs for spells cast from Lukka's first ability. You may pay alternative costs, such as mutate costs.

In a Two-Headed Giant game, Lukka's last ability causes the opposing team to lose twice as much life as the power of your creatures.

The ability granted by Lukka's first ability doesn't change when you may cast the card.

Once you begin to cast an exiled card, losing control of Lukka won't affect the spell. You can finish casting it as normal.

You may cast creature cards exiled with Lukka's first ability as noncreature spells if a rule or effect allows you to do so. For example, adventurer cards from the Throne of Eldraine set may be cast as Adventures.

If you reveal your entire library without revealing a creature card with higher mana value, you put the library back in a random order and continue.