“Death solves all problems — no man, no problem.”
This actually comes from the novel Children of the Arbat (1987) by Anatoly Rybakov. In his later book The Novel of Memories ( In Russian http://www.sakharov-center.ru/asfcd/auth/auth_pages.xtmpl?Key=18637&page=307) Rybakov admitted that he had no sources for such a statement.
Misattributed
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Joseph Stalin 95
General secretary of the Communist Party of the Soviet Union 1879–1953Related quotes

“Money problems can always be solved by a man not frightened by them.”
Source: Have Space Suit—Will Travel
“All writing is ultimately a question of solving a problem.”
Source: On Writing Well (Fifth Edition, orig. pub. 1976), Chapter 8, Unity, p. 49.

1963, American University speech
Context: Let us examine our attitude toward peace itself. Too many of us think it is impossible. Too many think it unreal. But that is a dangerous, defeatist belief. It leads to the conclusion that war is inevitable — that mankind is doomed — that we are gripped by forces we cannot control. We need not accept that view. Our problems are manmade — therefore, they can be solved by man. And man can be as big as he wants. No problem of human destiny is beyond human beings. Man's reason and spirit have often solved the seemingly unsolvable — and we believe they can do it again.

Source: 1980s, That Benediction is Where You Are (1985), p. 18
Context: From childhood we are trained to have problems. When we are sent to school, we have to learn how to write, how to read, and all the rest of it. How to write becomes a problem to the child. Please follow this carefully. Mathematics becomes a problem, history becomes a problem, as does chemistry. So the child is educated, from childhood, to live with problems — the problem of God, problem of a dozen things. So our brains are conditioned, trained, educated to live with problems. From childhood we have done this. What happens when a brain is educated in problems? It can never solve problems; it can only create more problems. When a brain that is trained to have problems, and to live with problems, solves one problem, in the very solution of that problem, it creates more problems. From childhood we are trained, educated to live with problems and, therefore, being centred in problems, we can never solve any problem completely. It is only the free brain that is not conditioned to problems that can solve problems. It is one of our constant burdens to have problems all the time. Therefore our brains are never quiet, free to observe, to look. So we are asking: Is it possible not to have a single problem but to face problems? But to understand those problems, and to totally resolve them, the brain must be free.

World Design Science Decade 1965-1975 Phase I (1965), Document 3 : Comprehensive Thinking, "Venus Proximity Day", p. 33 http://challenge.bfi.org/sites/challenge.bfi.org/files/pdf_files/wdsd_phase1_doc3.pdf
1960s
Context: One of my working assumptions which has been proven successful so often as seemingly to qualify it as a reliable tenet is that A problem adequately stated is a problem solved theoretically and immediately, and therefore subsequently to be solved, realistically. Others have probably stated the principle in many ways. The assumption is that the inevitability of a solution's realization is inherent in the interaction of human intellect and the constantly transformative evolution of physical universe. At first the, only subconsciously apprehended, approaching confluences of complex events make themselves known intuitively within the intellectual weather. Then comes a gradually awakening consciousness of the presence of new families of differentiating-out challenging concepts of every day prominence. It is with these randomly patterning families of separate concepts that evolution is about to deal integratively. As a now specific unitary problem it may be disposed of effectively when and if that unified problem becomes "adequately stated" and thereby comprehensibly solvable.