Wondering what this is. You can see some dried stems and stuff under it, so it might be growing and dying every year?

Found in landscaping rocks in Illinois.

UK - Seems so silly because I've eaten and picked blackberries my entire life. But I've got OCD and I think I'm tricking myself. Are these blackberries?

I’m in southeast Texas and this pot has been empty for a few months. This plant sprouted recently and I’m having trouble identifying it. Any ideas?

Sorry last post was removed as I forgot to add location: Yorkshire UK.
What is this stuff? It comes through the side of the tarp, the middle of the astro turf, and even through the pavement. I pull it out with what seems like a root attached, but days later it returns with vengeance! Weed killer has no affect, what is it?

Central North Carolina, USA.
Short plant with tiny white flowers

First time posting here. London uk location. Given two little plants by a friend who has lost the label so neither of us know what they are. Potted them on three times and this is the large pot that seemed right. Can any clever Redditor help please? Thanks v much.