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AMC10 2027 - Self-practice Set 4 Question 6

AMC10 · AMC10 2027 - Self-practice Set 4

Question 6

What is the remainder when $2^{202}+202$ is divided by $2^{101}+2^{51}+1$?
  1. $100$
  2. $101$
  3. $200$
  4. $201$
  5. $202$