context: ###List of Questions
  (1) Solve 0 = 15*f + 77 - 107 for f.
  (2) What is 8322 to the power of 1/7, to the nearest integer?
  (3) Let y(q) = -22*q - 2. Let g be y(-2). Let s be (-1)/(-2) + 875/14. Calculate the highest common divisor of g and s.
  (4) Two letters picked without replacement from apnmnor. What is prob of sequence ao?
  (5) What is 3/25 of a micrometer in nanometers?
q_1: (1) Solve 0 = 15*f + 77 - 107 for f.
q_2: (2) What is 8322 to the power of 1/7, to the nearest integer?
q_3: (3) Let y(q) = -22*q - 2. Let g be y(-2). Let s be (-1)/(-2) + 875/14. Calculate the highest common divisor of g and s.
q_4: (4) Two letters picked without replacement from apnmnor. What is prob of sequence ao?
q_5: (5) What is 3/25 of a micrometer in nanometers?