text: [Themes: mathematics, magic, spells, gender-neutral protagonist, math]
  
  Three people are standing in the lecture hall as you burst in, ten minutes late. The man's half-frown just manages the transition to a half-smile as he turns toward you.
  
  "Ah, our first candidate in Arithmancy!" he says brightly. "I'm Morkan. The other members of your examining committee today are Teraboz" (the older woman nods in your direction) "and Berzia" (the younger woman gives you a tidy grin).
  
  Fumbling in his robes, Morkan produces some pieces of paper. "Here are your number sheet, task page, and spell list," he says, handing them to you.
  
  "Good luck!" he adds. Then he speaks an incantation while waving his arms in a complicated pattern. You feel yourself being translated.
  
  As you fade out of the lecture hall, you hear Teraboz mutter, "That's our first candidate in Arithmancy? Great. Just great."
  
  This austere space provides a quiet, distraction-free environment for examinations. Besides the sign on the wall and the slot below it, there is nothing in this room. Not even an exit.
  
  An awful screeching noise echoes through the space.
  
  "What in the name of Yottaboz is that sound?" yells Teraboz.
  
  "Sorry about that," Morkan's voice breaks through. "I just turned on the magical observation system in the testing area. It's quite new. There; that's better." The noise cuts out.
  
  [Author's Note: A one-to-many-room puzzler.]
  
  > Inventory
  You are carrying:
  a number sheet
  a task page
  a spell list
  
  > look at number
  pi: 3.14159  x.xxxxx
  e: 2.71828  x.xxxxx
  sqrt(2): 1.41421  x.xxxxx
  sqrt(3): 1.73205  x.xxxxx
  sqrt(5): 2.23606  x.xxxxx
  phi: 1.61803  x.xxxxx
  ln(2): 0.69314  x.xxxxx
  zeta(2): 1.64493  x.xxxxx
  zeta(3): 1.20205  x.xxxxx
  gamma: 0.57721  x.xxxxx
  
  > examine the task
  Visit an imaginary-numbered space: 1 point
  Learn the meaning of all spells and prefixes: 1 point
  Complete a number using only three spells: 2 points
  Complete four numbers using no more than four spells for each: 3 points
  Complete all ten numbers using no more than five spells for each: 4 points
  Visit a space whose number is larger than 2 billion: 2 points
  Visit a space with dazzling white light: 1 point
  Visit a second space with dazzling white light: 1 point
  Visit a third space with dazzling white light: 2 points
  Visit a space with pale azure light: 2 points
  Visit a space whose light is gray with a hint of violet: 2 points Visit, in any order but without repetition, six consecutive spaces whose colors are red, orange, yellow, green, blue, and violet: 4 points
  
  > look at the spell
  END: End the examination, submitting your work for grading
  RET: Return to examination room
  
  ARITHMANCY SPELLS  (X = already used this sequence)
  STA #
  
  > examine pi
  You hear Teraboz sigh. "That didn't even make sense," she says.
  
  > Sta 1
  There is a brief flash of light, and you find yourself in...
  
  This is not so much a physical place as it is the essence of the number one. An inky blackness fills the space.
  
  Glulxe fatal error: Encountered unknown opcode. (190)
  
  Three people are standing in the lecture hall as you burst in, ten minutes late. The man's half-frown just manages the transition to a half-smile as he turns toward you.
  
  "Ah, our first candidate in Arithmancy!" he says brightly. "I'm Morkan. The other members of your examining committee today are Teraboz" (the older woman nods in your direction) "and Berzia" (the younger woman gives you a tidy grin).
  
  Fumbling in his robes, Morkan produces some pieces of paper. "Here are your number sheet, task page, and spell list," he says, handing them to you.
  
  "Good luck!" he adds. Then he speaks an incantation while waving his arms in a complicated pattern. You feel yourself being translated.
  
  As you fade out of the lecture hall, you hear Teraboz mutter, "That's our first candidate in Arithmancy? Great. Just great."
  
  This austere space provides a quiet, distraction-free environment for examinations. Besides the sign on the wall and the slot below it, there is nothing in this room. Not even an exit.
  
  An awful screeching noise echoes through the space.
  
  "What in the name of Yottaboz is that sound?" yells Teraboz.
  
  "Sorry about that," Morkan's voice breaks through. "I just turned on the magical observation system in the testing area. It's quite new. There; that's better." The noise cuts out.
  
  > Math
  You try to remember what you know about the numbers on the number sheet.
  
  The first nine numbers are irrational, which means they have infinite decimal expansions. The tenth number, Gamma, is thought to be irrational, but nobody has managed to prove that yet. The values given on your number sheet consist of the first several digits of each of these numbers. The numbers appear to be truncated (rather than rounded) five places beyond the decimal.
  
  Pi is what you get when you divide the circumference of a circle by its diameter. Somewhat surprisingly, it's the same value no matter the size of the circle.
  
  If you put $1 in a bank that pays 100% interest per year, compounded continuously, you'll have $E at the end of the first year. Also, E to the power of x and its constant multiples are the only functions that are their own derivatives.
  
  The square root of 2 is the number that, when squared, gives 2. Similarly for the square roots of 3 and 5.
  
  Phi is also known as the golden ratio. Suppose you take the sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, ..., where each number is the sum of the two previous numbers. (This sequence is known as the Fibonacci sequence.) The ratio of a number in this sequence to the one just before it tends to Phi as you get further in the sequence.
  
  Ln(2), or the natural logarithm of 2, is the power you raise E to in order to get 2. It's also the value of 1/1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + ...
  
  If you add up 1/1 + 1/4 + 1/9 + 1/16 + ..., where the numbers in the denominators are the perfect squares, then Zeta(2) is the result. Its value is equal to Pi*Pi/6.
  
  If you add up 1/1 + 1/8 + 1/27 + 1/64 + ..., where the numbers in the denominators are the perfect cubes, then Zeta(3) is the result.
  Nobody knows whether its value can be expressed in terms of Pi.
  
  Gamma is the most complicated number on your sheet. A geometric way of thinking about gamma is as follows. Suppose you have n rectangles. Each has width 1, but they all have different heights: 1/1, 1/2, 1/3, and so forth, up through 1/n. The area of all these rectangles together is an approximation of the area under the graph of 1/x as x ranges continuously from 1 to n. As n gets larger and larger, the error in this approximation tends toward Gamma.
  
  Putting this geometric interpretation into symbols gives an algebraic view of Gamma: The error in the approximation of Ln(n) by the sum 1/1 + 1/2 + 1/3 + 1/4 + ... + 1/n tends to Gamma as n gets larger and larger.