benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 8497 / Let p, q, and r be constants. One solution to the equation …

Problem

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

question

Let pp, qq, and rr be constants. One solution to the equation (x−p)(x−q)=(r−p)(r−q)(x-p)(x-q) = (r-p)(r-q) is x=rx=r. Find the other solution in terms of pp, qq, and rr.
Plain-text mathematical notation (without MathML)
Let p, q, and r be constants. One solution to the equation (x−p)(x−q)=(r−p)(r−q) is x=r. Find the other solution in terms of p, q, and r.
Original LaTeX notation
Let $p$, $q$, and $r$ be constants. One solution to the equation $(x-p)(x-q) = (r-p)(r-q)$ is $x=r$. Find the other solution in terms of $p$, $q$, and $r$.

category

math

options

  1. r-p-q
  2. p+q-r
  3. p-q-r
  4. pq-r
  5. (p+q)/r
  6. pqr
  7. p*q/r
  8. p*r/q
  9. q*r/p
  10. (p*q)/r

src

ori_mmlu-high_school_mathematics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
8497
task_id
94425843-7189-5fe9-8e23-0b26db48a53a
task_key
default--test--8497
task_revision_id
1
config / split
default / test

Official source

initial import