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MMLU-Pro / 8805 / Suppose P is the set of polynomials with coefficients in Z_5 and degree less…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Suppose P is the set of polynomials with coefficients in Z_5 and degree less than or equal to 7. If the operator D sends p(x) in P to its derivative p′(x), what are the dimensions of the null space n and range r of D?

category

math

options

  1. n = 0 and r = 8
  2. n = 3 and r = 5
  3. n = 1 and r = 8
  4. n = 2 and r = 7
  5. n = 1 and r = 7
  6. n = 0 and r = 7
  7. n = 2 and r = 5
  8. n = 3 and r = 4
  9. n = 2 and r = 6
  10. n = 1 and r = 6

src

ori_mmlu-college_mathematics

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Source and history

upstream_id / Original problem ID
8805
task_id
dc38925a-bb8a-56b0-928b-134f5500d5aa
task_key
default--test--8805
task_revision_id
1
config / split
default / test

Official source

initial import