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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.

If the spell that’s copied has an X whose value was determined as it was cast (like Earthquake does), the copy has the same value of X.

If the spell that’s copied is modal (that is, it says “Choose one —” or the like), the copy will have the same mode. A player can’t choose a different one.

If a copy says that it affects “you,” it affects the controller of the copy, not the controller of the original spell. Similarly, if a copy says that it affects an “opponent,” it affects an opponent of the copy’s controller, not an opponent of the original spell’s controller.

Hive Mind’s effect is mandatory. Each other player must copy the spell whether they want to or not.

The copies that Hive Mind’s ability creates are created on the stack, so they’re not “cast.” Abilities that trigger when a player casts a spell (like Hive Mind’s ability itself) won’t trigger.

If a player casts an instant or sorcery spell, Hive Mind’s ability triggers and is put on the stack on top of that spell. Hive Mind’s ability will resolve first. When it does, it creates a number of copies of that spell equal to the number of players in the game minus one. First the player whose turn it is (or, if that’s the player who cast the original spell, the player to that player’s left) puts their copy on the stack, choosing new targets for it if they like. Then each other player in turn order does the same. The last copy put on the stack will be the first one that resolves. (Note that the very last thing to happen is that the original spell resolves.)

Each copy will have the same targets as the spell it’s copying unless its controller chooses new ones. That player may change any number of the targets, including all of them or none of them. If, for one of the targets, the player can’t choose a new legal target, then it remains unchanged (even if the current target is illegal).

Hive Mind will copy any instant or sorcery spell, not just one with targets.

A copy’s controller can’t choose to pay any additional costs for the copy. However, effects based on any additional costs that were paid for the original spell are copied as though those same costs were paid for the copy too.