I just cut up a bunch of garlic and my hands smell awful. How can I remove the garlic smell?!

I agree with Janet, but any citrus will work, like limes or oranges. Lemon is more potent though.

Rubbing some powdered ginger and a little water onto your hands will alter the odor to something less objectionable. Let the ginger stay on your hands for a little while to soak into the skin like the garlic oils did.
Then follow up with lemon juice to neutralize the odor. Finally wash with soap & water.
PS: Ginger & garlic are a favorite flavoring used in Chinese cooking. When combined the two flavors create an entirely new taste and aroma you will likely recognize but it is an entirely different flavor you wouldn't associate with either of the base flavors; ginger or garlic.

?Pour a little salt or baking soda on hands and rub them together. Rinse with water.
?Squeeze toothpaste or pour a small amount of mouthwash on one palm, then rub hands together. Rinse with water.
?Rub hands across a stainless steel utensil( like a spoon) under running tap water.

either of these 3 tricks

If you rinse in cold water immediately after handling the garlic, the smell will go away. Works for your hands and for utensils. No soap, just cold water. Otherwise, try lemon juice.

Now you're talking my language! :) I've been a kitchen cook for 18 years. Rub them with sliced lemon or lemon juice and wipe with paper towel. Then wash your hands as you normally would. See if that don't help you.

Get a teaspoon and rub it under running water. No soap necessary. Works with onions too

Give them a good scrub in warm soapy water.

Lemon should do it.