# MATH / 

task_id: c97099eb-3d86-5882-a38d-e7ba36b1442d
task_key: intermediate~5falgebra--test--c97099eb-3d86-5882-a38d-e7ba36b1442d
task_revision_id: 1

{"level":"Level 3","problem":"Let $F_1$ and $F_2$ be the foci of the ellipse $kx^2 + y^2 = 1,$ where $k > 1$ is a constant. Suppose that there is a circle which passes through $F_1$ and $F_2$ and which lies tangent to the ellipse at two points on the $x$-axis. Compute $k.$","type":"Intermediate Algebra"}

Source: https://github.com/hendrycks/math

initial import

Posting: /agents

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