P5+1 is often referred to as the E3+3 (or E3/EU+3) by European countries.

I think they can not solve 5+1=3+3=6 !

The media talk about achievement an agreement with hesitation; but don’t know it out of reach. But in public perception this hesitation is more; and they think these negotiations will fail. And The terms of this will not be worse.

A trustful togetherness and bipartite admissions be needed for any agreement. Public perception depends only on three aspects, social acceptability, no favor, desirable a consenus on the controversial topic. Minimum success may be diplomatically more favorable rather than becoming fail on every front. A seed of peace should be sown first then wait for its pluming and  becoming a tree. It needs fair and favorable environment,  nourishment and  watering (Physical and chemical requirements), but biological need is its viability and safety from pest insects. Negotiations should be mutualistic based on security and peace stabilization with public perception. Faith and believe are points which make a single key to open any lock of discord, but it will need a public desire and acceptability of any decision by the public.

P5+1 is often referred to as the E3+3 (or E3/EU+3) by European countries.

I think they can not solve 5+1=3+3=6 !

Negotiators from the P5+1 (China, France, Germany, Russia, the United Kingdom, and the United States) and Iran are racing to try to conclude a political framework agreement for a comprehensive, long-term nuclear deal to block Iran's potential pathways to nuclear weapons by the end of March, with technical details on a final deal to be ironed out by the end of June.

Over the past year, Iran and the P5+1 have made significant progress on long-term solutions on several challenging issues. Following the most recent round of high-level talks, the two sides reportedly made progress on key remaining issues.

At the same time, key members of Congress are threatening to advance new Iran sanctions legislation and set unrealistic requirements for a nuclear deal. Also, the chairman of the Senate Foreign Relations Committee says he will introduce legislation this month that would give Congress the opportunity to vote to disapprove or approve a comprehensive nuclear agreement once and if it is completed. Both proposals have drawn a veto threat from the Obama administration.

The Arms Control Association will host a special press briefing featuring a former member of the U.S. negotiating team, a former professional staff member of the House intelligence committee, and Arms Control Association experts on the status of the negotiations, the likely outlines of a comprehensive agreement, and the the appropriate role for Congress.

Thank you for all the comments, but more interesting to me is how society sees these negotiations (especially Iran), not how the media descripted negotiators' activities. If we already talk about media the more important right now is how iranian media described it. 

Ordinary Iranians are not so optimistic about the intentions of the West side in the nuclear talks and there exists a dominant atmosphere of skepticism and mistrust among Iranians towards the West specially the U.S.

I think the public is very concerned, worried, and suspicious about the process and prospects of the outcome of the marathon political dialogue with P5 + 1 on the Iranian nuclear (energy) research. This quite a tough question because there are several unknowns and unpredictable factors that are critical for the smooth outcome of this dialogue.

     In this case, the little that I can say about the question is that the following perceptions are quite prominent among other factors surrounding the political manoeuvres in the tough talk: (1) open optimism and positive attitudes about the success of an agreement; (2) cautious optimism and a welcome attitude if it succeeds; (3) lukewarm or the wait and see attitude; (4) silent (quiet) negative or pessimistic attitude; and open and outright rejection attitude.  

     All these different attitudes are genuine but not necessarily correct. The major factors that characterise the different shades of opinions or attitudes are guided by political, strategic, historical, economic, and international factors or considerations. Some of the perceptions are rooted in misperceptions, mistrusts, or miscalculations by some individuals or personalities.

     For example, those who are openly optimistic and positive about the successful outcome of a mutual nuclear research agreement; are the key or lead negotiators, experts, peace advocates, and natural optimists. These groups seemed to have been given a short in the arm by recent political change in Iranian national elections which have ushered in a more popular pro-western democracy leader or government.

      The current leadership has expressed and demonstrated political good faith and openness. These are vital for trust and confidence. With his apparent predictability and transparency, there is more hope for a reliable settlement. They expect the spirit and letter of the Iranian nuclear deal to be adhered to by the host state.

     At the same time, those who expressed cautious optimism and welcome tendencies for a successful nuclear deal, are expecting the current political atmosphere in Iran to last long. In addition, they expect that such a deal will be acceptable to Iranian Supreme Leader and his key advisors. Most of these groups are complementary (key) allies of the P5 + 1 member states. There are also some people who are praying hard for the success of this pending deal.

     Besides, the first two categories of perceptions are equally concerned about the negative impact (social, economic, and political) of the current economic sanctions imposed on Iran. Most citizens of Iran including the Diaspora are enduring unnecessary burden and suffering because of this avoidable sanctions against an otherwise very prosperous people and country.

     The third category of public perception are to do with those who have the lukewarm (the wait and see) attitude of any nuclear negotiations outcome. They are neither in favour nor against the controversial and prolonged P5 + 1 nuclear negotiation hosted by Switzerland.

     Furthermore, part of this attitude could be of the fatigue from the endless talks that have persisted for too long to trigger any shadow of hope for a settlement. It is possible that some people or groups are not aware of the implications or the technicalities involved and hence, the ambivalence attitude. Lack of public awareness of the key issues is responsible for this.

      The fourth school of thought are individuals or groups who are non-committal about the negotiation process that has been going on for years. These people are silently (quietly) negative or pessimistic about the dialogue as a whole. These groups are better off as cynics who do not see any good thing coming from the talk. They seem to know well the entrenched attitudes of both sides in the talks. As a result, they have resigned from the entire process.

     The final classification of individual or group is to do with those have in no uncertain terms declared their outright dismissal and total rejection of any Iranian nuclear research agreement. These groups are well known. They include the Arab League (member states) and Israel, among others. These have to do with geopolitical, security, and strategic reasons. Iran should be more transparent, reliable, honest, and sensitive.

     In conclusion, there are diverse and conflicting shades of public opinions regarding the protracted Iranian nuclear research negotiations. All of these are shaped by their political history, past experiences, economic, security, and strategic reasons, among others. We are also aware of the existing NPT of nuclear weapons which more countries (especially the developing countries) should embrace; while they may also reserve the right to the development of nuclear (atomic) research for peace, security, and sustainable development. These include development sectors like: agriculture, energy, health, environment, and natural resources.

Jessica, I don't know if your are still working on this issue, but if so you might want to look t the polls conducted by the Pew Research Center. I enclose some links below. Best, Heiko 

http://www.pewglobal.org/2015/06/18/irans-global-image-mostly-negative/

http://www.people-press.org/2015/03/30/more-approve-than-disapprove-of-iran-talks-but-most-think-iranians-are-not-serious/

http://www.pewresearch.org/fact-tank/2015/03/18/americans-republicans-distrustful-of-iran-nuclear-deal/