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MMLU-Pro / 8306 / Suppose …

Problem

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

question

Suppose $f(x, y)= \begin{cases}1-x-y, & x+y \leqslant 1 \ 0, & x+y>1\end{cases}$. What is the integral of f(x,y) over the region I=[0,1]\times[0,1]?
Plain-text mathematical notation (without MathML)
Suppose $f(x, y)= \begin{cases}1-x-y, & x+y \leqslant 1 \ 0, & x+y>1\end{cases}$. What is the integral of f(x,y) over the region I=[0,1]\times[0,1]?
Original LaTeX notation
Suppose $f(x, y)= \begin{cases}1-x-y, & x+y \leqslant 1 \ 0, & x+y>1\end{cases}$. What is the integral of f(x,y) over the region I=[0,1]\times[0,1]?

category

math

options

  1. 0.33333
  2. 0.5
  3. 1.5
  4. 0
  5. 0.75
  6. 1
  7. 0.25
  8. 0.16667
  9. 0.66667
  10. 0.83333

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8306
task_id
092c63cb-8b3f-5333-ba58-96e66f7d0490
task_key
default--test--8306
task_revision_id
1
config / split
default / test

Official source

initial import