Here's something to get you through the Institute if you're stuck.

Tetris:

What to do: Place and rotate all 7 pieces so that they will fit into the lower section as they fall down.
Hint: The two L-pieces are at the far left and right..
Solution: The order is, left to right: dark blue, pink and red, yellow, light blue, green, and orange. Mind the rotation!
https://psteamcommunity.yuanyoumao.com/sharedfiles/filedetails/?id=2775947584


Destruction Derby:

What to do: Find out which cars collide and when
Hint: After each car has moved once, two will collide. After the second move, another two will. Combine their colors
Solution: The order is, left to right: blue, green, violet


Portal:

What to do: Insert the cubes to spell the solution. But first, find the missing cube.
Hint: Don't listen to the AI. And then, do. The cake is useless.
Solution: Follow the "no cake path" until it says "Turn around now!". Then, go back through the blue portal. The solution is, of course, "cake".


Solitaire:

What to do: Place the cards so that all requirements on them are met.
Hint: The first line is only hearts and clubs, the second line is mostly diamonds, the third line has no queens.
Solution: Arrange the cards like this:

Q♥ K♥ Q♣ A♣ A♦ Q♦ J♦ J♥ J♣ A♥ K♦ K♣ A♠ K♠ Q♠ J♠

Zork:

What to do: Form commands by placing the correct words on the screen in the right order.
Hint: The text tells you where the key is. And the crowbar? You're looking at it.
Solution: The commands are: open mailbox / use key with chest / Use crowbar with door / open door. The key is on the floor in front of the second screen. The crowbar word is the word on the third screen. You must reuse words you already placed.