“Learning to cherish others is the best solution to our daily problems, and it is the source of all our future happiness and good fortune.”

Source: Don't Sweat the Small Stuff ... and it's all small stuff: Simple Ways to Keep the Little Things from Taking Over Your Life

Some sources indicate the phrase 'government is the problem' was not part of the speech. (E.g. yale.edu http://avalon.law.yale.edu/20th_century/reagan1.asp). Live recordings of the address demonstrate that Reagan did indeed use the phrase in question. See Ronald Reagan: First Inaugural Address http://www.youtube.com/watch?v=IleiqUDYpFQ; start at 6:08
1980s, First term of office (1981–1985), First Inaugural address (1981)
Variant: In this present crisis, government is not the solution to our problem; government is the problem
Context: In this present crisis, government is not the solution to our problem; government is the problem. From time to time we've been tempted to believe that society has become too complex to be managed by self-rule, that government by an elite group is superior to government for, by, and of the people. Well, if no one among us is capable of governing himself, then who among us has the capacity to govern someone else? All of us together, in and out of government, must bear the burden. The solutions we seek must be equitable, with no one group singled out to pay a higher price.

As quoted in The World of Mathematics (1956) Edited by J. R. Newman

Springer's common beginning and ending to his lectures

The Value of Science (1955)
Context: We are at the very beginning of time for the human race. It is not unreasonable that we grapple with problems. But there are tens of thousands of years in the future. Our responsibility is to do what we can, learn what we can, improve the solutions, and pass them on.
... It is our responsibility to leave the people of the future a free hand. In the impetuous youth of humanity, we can make grave errors that can stunt our growth for a long time. This we will do if we say we have the answers now, so young and ignorant as we are. If we suppress all discussion, all criticism, proclaiming "This is the answer, my friends; man is saved!" we will doom humanity for a long time to the chains of authority, confined to the limits of our present imagination. It has been done so many times before.
... It is our responsibility as scientists, knowing the great progress which comes from a satisfactory philosophy of ignorance, the great progress which is the fruit of freedom of thought, to proclaim the value of this freedom; to teach how doubt is not to be feared but welcomed and discussed; and to demand this freedom as our duty to all coming generations.

3001: The Final Odyssey (1997)
1990s
Context: Finally, I would like to assure my many Buddhist, Christian, Hindu, Jewish, and Muslim friends that I am sincerely happy that the religion which Chance has given you has contributed to your peace of mind (and often, as Western medical science now reluctantly admits, to your physical well-being). Perhaps it is better to be un-sane and happy, than sane and un-happy. But it is the best of all to be sane and happy. Whether our descendants can achieve that goal will be the greatest challenge of the future. Indeed, it may well decide whether we have any future.

Source: The Corrections

Environmentalism as a Religion (2003)