The Holy Blue Republic of Equations is a mammoth, safe nation, ruled by Emperor Wuff with an even hand, and notable for its parental licensing program, suspicion of poets, and stringent health and safety legislation. The hard-nosed population of 8.448 billion Equationsians have some civil rights, but not too many, enjoy the freedom to spend their money however they like, to a point, and take part in free and open elections, although not too often.

The medium-sized government juggles the competing demands of Administration, Law & Order, and Defense. It meets to discuss matters of state in the capital city of Yodle City. The average income tax rate is 36.6%, but much higher for the wealthy.

The strong Equationsian economy, worth 511 trillion Gold Coins a year, is led by the Uranium Mining industry, with major contributions from Tourism, Cheese Exports, and Woodchip Exports. Black market activity is frequent. State-owned companies are common. Average income is 60,493 Gold Coins, and distributed extremely evenly, with little difference between the richest and poorest citizens.

The economy is green and the air is black, Yodle City University is said to be the modern-day Tower of Babel, scientists pester asteroids with probes until they go away, and government police forces protect public schools from the threat of protest. Crime, especially youth-related, is totally unknown, thanks to a well-funded police force and progressive social policies in education and welfare. Equations's national animal is the Cow and its national religion is Yodlism.

Equations is ranked 302,945^th in the world and 9^th in Bernie Sanders Supporters for Largest Trout Fishing Sector, scoring -7.96 on the Nemo Depletion Efficiency Index.