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MMLU-Pro / 8052 / Rewrite the expression 6j²−4j+12 in the form c(j+p)²+q, where c,…

Problem

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

question

Rewrite the expression 6j2−4j+126j^2 - 4j + 12 in the form c(j+p)2+qc(j + p)^2 + q, where cc, pp, and qq are constants. What is qp\frac{q}{p}?
Plain-text mathematical notation (without MathML)
Rewrite the expression 6j²−4j+12 in the form c(j+p)²+q, where c, p, and q are constants. What is (q)/(p)?
Original LaTeX notation
Rewrite the expression $6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$?

category

math

options

  1. -3
  2. 38
  3. 34
  4. -34
  5. 11
  6. 0
  7. 3
  8. -38
  9. -1
  10. -11

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
8052
task_id
010372cf-6011-5587-a4c3-1c96d82fa159
task_key
default--test--8052
task_revision_id
1
config / split
default / test

Official source

initial import