Yes, they also help a lot, especially with swelling and inflammation.

I hate mosquitoes with a passion. I’m allergic to mosquito bites so it’s so dreadful to even be in their presence.

E: Hot water can help with the itching, but take care not to burn yourself.

My experience with math class has been quite different. Most exercises specify the domain of the equations, and I’ve been taught to always work out the set of possible solutions (when it’s non-obvious) before solving an equation, though I usually forget to do this and still end up with impossible states…