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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 target creature is an illegal target by the time Master of the Wild Hunt's ability tries to resolve, the ability doesn't resolve. You won't tap your Wolves, and nothing will deal or be dealt damage.

Only a Wolf creature tapped as part of the ability's effect can be dealt damage by the target creature.

The controller of the target creature doesn't divide that creature's damage as the ability is activated (since the Wolves that will receive that damage aren't targeted), so that player does so as the ability resolves. There is no time to react between the time a Wolf is chosen, the time damage is dealt to it, and the time it's destroyed for having been dealt lethal damage. If you want to put a regeneration shield on one of those Wolves, or target it with a damage-prevention spell, or anything else, you must do so before the ability resolves (and before you know which Wolves will be chosen and how much damage will be dealt to them).

All Wolves you control are tapped as part of the activated ability's effect, not as a cost. Players may respond by attempting to tap or untap Wolves, or to create or remove them.