Gaea's Will

The mana value of a spell cast without paying its mana cost is determined by its mana cost, even though that cost wasn't paid.

Exiling a card with suspend isn't casting that card. This action doesn't use the stack and can't be responded to.

If the first triggered ability of suspend (the one that removes time counters) is countered, no time counter is removed. The ability will trigger again at the beginning of the card's owner's next upkeep.

If an effect refers to a "suspended card," that means a card that (1) has suspend, (2) is in exile, and (3) has one or more time counters on it.

You can exile a card in your hand using suspend any time you could cast that card. Consider its card type, any effects that modify when you could cast it (such as flash) and any other effects that stop you from casting it (such as from Meddling Mage's ability) to determine if and when you can do this. Whether you could actually complete all steps in casting the card is irrelevant. For example, you can exile a card with suspend that has no mana cost or that requires a target even if no legal targets are available at that time.

If the card has {X} in its mana cost, you must choose 0 as the value of X when casting it without paying its mana cost.

Suspend is a keyword that represents three abilities. The first is a static ability that allows you to exile the card from your hand with the specified number of time counters (the number before the dash) on it by paying its suspend cost (listed after the dash). The second is a triggered ability that removes a time counter from the suspended card at the beginning of each of your upkeeps. The third is a triggered ability that gives you the option to cast the card when the last time counter is removed.

If the spell requires any targets, those targets are chosen when the spell is finally cast, not when it's exiled.

If you cast a card "without paying its mana cost," such as with suspend, you can't choose to cast it for any alternative costs. You can, however, pay additional costs. If the card has any mandatory additional costs, you must pay those if you want to cast the card.

When the last time counter is removed, the second triggered ability of suspend (the one that lets you cast the card) triggers. It doesn't matter why the last time counter was removed or what effect removed it.

If a card with no mana cost is given an alternative cost equal to its mana cost (by Snapcaster Mage, for example), that cost cannot be paid and the card cannot be cast this way.

After Gaea's Will resolves, nontoken creature you own that would die will be exiled instead. Abilities that would trigger when those creatures die won't trigger. Token creatures you own will still die as normal after Gaea's Will resolves.

The lands you play and spells you cast from your graveyard must follow the usual timing restrictions, and you must pay any costs for spells you cast.

Assuming it's not a copy, Gaea's Will will be exiled after it finishes resolving. (If it is a copy, the copy will go to the graveyard briefly before ceasing to exist.)