Weaknesses of chess engines


I think I have seen that first position in some old soviet book. If I remember correctly, white also missed the victory in that game despite not being an engine.

I am 74 years old with dementia for 5 years so am proud to solve both problems. The first one just looking at the position. The 2nd one with help of a chess engine.

Nice idea,ponz111! You found a winning plan!!! But engine cant do it. He took on b6, with evaluation around +7.
Actually, after taking the pawn according to Stockfish it's still a draw. Try yourself...

1. Qd2 Qc7 2.Nxc5 dxc5 3.d6 Qd7 4.Qd5+ Kc6 5.Qxe5 followed by Qe7 to promote the d6 pawn etc...
but after 2...Qxc5 black is better. He doesn't have to take knight with a pawn...

ponz, this is for you ( first problem, Stockfish play )
1. Qd2 Qc7
2.Nb2 Qb6
3. Ka4 Bh2
4. Qxa5 Bg1
5. Qxb6+ Kxb6
6. Nd3 Be3
7. Nb2 Bc1
8. Kb3 Bxb2
9. Kxb2 Ka5
10. h4 gxh4
11. Kb3 Kb6
12. Ka2 Kb7
13. a4 Kb6
etc.
This is a draw.

the problem with kings on the corner is easy--maybe your computer not set correctly?
I used Lucas Chess with the Rybka engine. I checked and now find the depth has to be set to at least 10 ply for Rybka to find the correct solution. This is a good test since I now know to set it to 10 ply for my game analyses.

just saw ponzi's response, ingenious! so, that is the only way to hold? how would black make progress in my example?
Please give some actual possible moves per your ideas?

Pinguu91,please give me a moves for your ideas.If the white king will come to catch a-pawn,black have an idea Kg5-h4,g1Q,Kg3 and the next moves Kf3-g2 h2-h1Q.

About the first problem,for TrumanB 1 Qd2 Qc7 2 Nb2 Qb6 3 Ka4 Bh2 and in your variation,now Qa5. White can take on a5 with the knight Nb2-d3-c1-a5,than put the knight on c6.

About the first problem,for TrumanB 1 Qd2 Qc7 2 Nb2 Qb6 3 Ka4 Bh2 and in your variation,now Qa5. White can take on a5 with the knight Nb2-d3-c1-a5,than put the knight on c6.
He can't do that because black bishop will come to c3.