context: ###List of Questions
  (1) What is the common denominator of -107/22 and 1377/(-126)*(-3)/18?
  (2) Calculate -0.064 + 734.
  (3) Four letters picked without replacement from {l: 6, o: 3, f: 1, t: 1, c: 3, z: 1}. What is prob of sequence fccc?
  (4) Suppose 5*r - c = 16, 3*r - 2*c = 3 + 8. Solve 3*i - 8 - 1 = 0, -4*f - r*i = 3 for f.
  (5) How many microseconds are there in 82.71096s?
q_1: (1) What is the common denominator of -107/22 and 1377/(-126)*(-3)/18?
q_2: (2) Calculate -0.064 + 734.
q_3: (3) Four letters picked without replacement from {l: 6, o: 3, f: 1, t: 1, c: 3, z: 1}. What is prob of sequence fccc?
q_4: (4) Suppose 5*r - c = 16, 3*r - 2*c = 3 + 8. Solve 3*i - 8 - 1 = 0, -4*f - r*i = 3 for f.
q_5: (5) How many microseconds are there in 82.71096s?