I'm looking for some help understanding how Crookclaw Transmuter interacts with other cards that change power and toughness. Today I was playing a game where my opponent had a Kithkin Soldier token equipped with a Darksteel Axe and a Trusty Machete, while I had a Dampening Pulse on the field. If I target the Kithkin token with Crookclaw's triggered ability, what is the resulting power and toughness?
Switch effects are applied last in the calculation of a creature’s power and toughness, no matter when the spells and abilities creating the different effects resolved and the effects started applying. As soon as the Transmuter's ability has resolved, until end of turn, everything that's applied to its toughness is now applied to its power and vice versa. So in your example, the token was 4/2 from the effects listed, and the Transmuter makes it 2/4.
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Crookclaw Transmuter with other P/T modifiers