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MMLU-Pro / 7753 / Evaluate ∫_(c)z²/(z−5)dz, where c is the circle that |z|=2.

Problem

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

question

Evaluate ∫cz2/(z−5)dz\int_c z^2 / (z - 5) dz, where c is the circle that |z|=2|z| = 2.
Plain-text mathematical notation (without MathML)
Evaluate ∫_(c)z²/(z−5)dz, where c is the circle that |z|=2.
Original LaTeX notation
Evaluate $\int_c z^2 / (z - 5) dz$, where c is the circle that $|z| = 2$.

category

math

options

  1. $2\pi i$
  2. 0
  3. $-2\pi i$
  4. 1
  5. $4\pi i$
  6. -1
  7. $5$
  8. $10\pi i$
  9. $-5$
  10. 2

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
7753
task_id
497fb859-1ff5-5f3a-bd36-db67b911d117
task_key
default--test--7753
task_revision_id
1
config / split
default / test

Official source

initial import