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MMLU-Pro / 8719 / Suppose that for some a,b,c we have a+b+c=1, ab+ac+bc=abc=−4. What…

Problem

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

question

Suppose that for some a,b,ca,b,c we have a+b+c=1a+b+c = 1, ab+ac+bc=abc=−4ab+ac+bc = abc = -4. What is a3+b3+c3a^3+b^3+c^3?
Plain-text mathematical notation (without MathML)
Suppose that for some a,b,c we have a+b+c=1, ab+ac+bc=abc=−4. What is a³+b³+c³?
Original LaTeX notation
Suppose that for some $a,b,c$ we have $a+b+c = 1$, $ab+ac+bc = abc = -4$. What is $a^3+b^3+c^3$?

category

math

options

  1. 112
  2. 3
  3. -1
  4. 0
  5. 4
  6. 16
  7. 12
  8. 10
  9. 1
  10. -4

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
8719
task_id
15afb4a1-7faa-5664-b942-1cb0e43432e0
task_key
default--test--8719
task_revision_id
1
config / split
default / test

Official source

initial import