Laura, if I'm not mistaken, they all are the same.
Example for the headword/lemma/entry "run":
move at a speed faster than a walk, never having both or all the feet on the ground at the same time.
"the dog ran across the road"
synonyms: sprint, race, dart, rush, dash, hasten, hurry, scurry, scamper, bolt, fly, gallop, career, charge, shoot, hurtle, speed, zoom, go like lightning, go hell-bent for leather, go like the wind, go like a bat out of hell; More
move about in a hurried and hectic way.
"I've spent the whole day running around after the kids"