So, here is my solution:
I removed the whole education part from my tax return because scholarships cover all tuition fees. Did not mention any expenses related to computers, books, materials and e.t.c. Child income on my return is 0.
Moved all this to daughter's return to make thing clear and straight, moved all numbers spent in the student store and outside, instead of putting it in my return. And instead of putting only housing and food into the field asking what part of scholarships was paid to room and board, I technically subtract number in box 1 from the number in the box 5. May be I added some not related to room and board, but I do not want to torture myself reading all college bills and choose specific items from them.
And now it is much simpler. Still not clear why there is Child Investment Income, but it is OK.
