to aim for something that is difficult or seemingly impossible to achieve
стремиться к чему-то трудному или, казалось бы, невозможному для достижения (stremit'sya k chemu-to trudnomu ili, kazalos' by, nevozmozhnomu dlya dostizheniya)
"He decided to reach for the moon and apply for the most competitive university."
"Он решил reach for the moon и подать заявку в самый конкурентоспособный университет." (On reshil **reach for the moon** i podat' zayavku v samyi konkurentosposobnyi universitet.)
to make the best of the situation you are in
to feel affection or kindness towards someone
a small sign of improvement or success in a difficult situat...
to practice and improve one’s cognitive abilities
to be open and honest about your intentions or plans
As I understand; based on what I know