Question: What was composed between 1861 and 1865 under the guidance of Mily Balakirev by a Russian composer, and a member of the group of composers known as The Five?

Context articles: Balakirev Glacier
César Cui
Nikolai Rimsky-Korsakov
Symphony No. 1 (Rimsky-Korsakov)
Symphony No. 2 (Balakirev)
The Mighty Handful
Pyotr Ilyich Tchaikovsky and The Five
Islamey
List of compositions by Mily Balakirev
Symphony No. 2 (Tchaikovsky)

Balakirev Glacier ( ) is an Antarctic glacier flowing northeast into Schubert Inlet from the south part of the Walton Mountains, Alexander Island.
 It was named by the USSR Academy of Sciences, in 1987, after Mily Balakirev, the Russian composer.
César Antonovich Cui (Russian: Це́зарь Анто́нович Кюи́ ; 18 January [O.S. 6 January] 1835 13 March 1918) was a Russian composer and music critic of French, Polish and Lithuanian descent.
 His profession was as an army officer (he rose to the rank of Engineer-General (compared to full general) of The Russian Imperial Army) and a teacher of fortifications, and his avocational life has particular significance in the history of music.
 In this sideline he is known as a member of The Five, a group of Russian composers under the leadership of Mily Balakirev dedicated to the production of a specifically Russian type of music.
Nikolai Andreyevich Rimsky-Korsakov (18 March [O.S. 6 March] 1844 21 June [O.S. 8 June] 1908 ) was a Russian composer, and a member of the group of composers known as The Five.
 He was a master of orchestration.
 His best-known orchestral compositions—"Capriccio Espagnol", the "Russian Easter Festival Overture", and the symphonic suite "Scheherazade"—are staples of the classical music repertoire, along with suites and excerpts from some of his 15 operas.
 "Scheherazade" is an example of his frequent use of fairy tale and folk subjects.
Nikolai Rimsky-Korsakov composed his Symphony No. 1 in E minor, Op.
 1 (originally in E-flat minor), between 1861 and 1865 under the guidance of Mily Balakirev.
 Balakirev also premiered the work at a concert of the Free Music School in December 1865.
 Rimsky-Korsakov revised the work in 1884.
Mily Balakirev began work on his Symphony No. 2 in D minor in 1900, but did not complete the work until 1908.
 The premiere of the symphony was conducted by Russian composer Sergei Liapunov, a student of Balakirev, in St. Petersburg in 1909.
 Another performance was held in Paris soon afterwards, but the piece has since become one of the lesser known symphonies in the repertoire.
The Mighty Handful (Russian: Могучая кучка ), also known as The Five and The New Russian School, were five prominent 19th-century Russian composers who worked together to create a distinctly Russian classical music.
 Mily Balakirev (the leader), César Cui, Modest Mussorgsky, Nikolai Rimsky-Korsakov and Alexander Borodin all lived in Saint Petersburg, and collaborated from 1856 to 1870.
In mid- to late-19th-century Russia, Pyotr Ilyich Tchaikovsky and a group of composers known as The Five had differing opinions as to whether should be composed following Western or native practices.
 Tchaikovsky wanted to write professional compositions of such quality that they would stand up to Western scrutiny and thus transcend national barriers, yet remain distinctively Russian in melody, rhythm and other compositional characteristics.
 The Five, made up of composers Mily Balakirev, Alexander Borodin, César Cui, Modest Mussorgsky, and Nikolai Rimsky-Korsakov, sought to produce a specifically Russian kind of art music, rather than one that imitated older European music or relied on European-style conservatory training.
 While Tchaikovsky himself used folk songs in some of his works, for the most part he tried to follow Western practices of composition, especially in terms of tonality and tonal progression.
 Also, unlike Tchaikovsky, none of The Five were academically trained in composition; in fact, their leader, Balakirev, considered academicism a threat to musical imagination.
 Along with critic Vladimir Stasov, who supported The Five, Balakirev attacked relentlessly both the Saint Petersburg Conservatory, from which Tchaikovsky had graduated, and its founder Anton Rubinstein, orally and in print.
Islamey (Russian: Исламей , subtitled "Oriental Fantasy"), Op. 18, is a composition for piano by Russian composer Mily Balakirev, written in September 1869.
The following is a list of compositions by Russian composer Mily Balakirev.
 All are for solo piano unless otherwise indicated.
Pyotr Ilyich Tchaikovsky's Symphony No. 2 in C minor, Op. 17 was composed in 1872.
 One of Tchaikovsky's joyful compositions, it was successful right from its premiere and also won the favor of the group of nationalistic Russian composers known as "The Five", led by Mily Balakirev.
 Because Tchaikovsky used three Ukrainian folk songs to great effect in this work, it was nicknamed the "Little Russian" (Russian: Малороссийская , "Malorossiyskaya") by Nikolay Kashkin, a friend of the composer as well as a well-known musical critic of Moscow.
 Ukraine was at that time frequently called "Little Russia".