# Omni-MATH / 

task_id: a1ab67ed-56af-5e0b-8b21-872f7e7ad6a9
task_key: test--a1ab67ed-56af-5e0b-8b21-872f7e7ad6a9
task_revision_id: 1

{"problem":"Let ${\\cal C}_1$ and ${\\cal C}_2$ be  concentric circles, with ${\\cal C}_2$ in the interior of ${\\cal C}_1$ . From a point $A$ on ${\\cal C}_1$ one draws the tangent $AB$ to ${\\cal C}_2$ ( $B\\in {\\cal C}_2$ ). Let $C$ be the second point of intersection of $AB$ and ${\\cal C}_1$ , and let $D$ be the midpoint of $AB$ . A line passing through $A$ intersects ${\\cal C}_2$ at $E$ and $F$ in such a way that the perpendicular  bisectors of $DE$ and $CF$ intersect at a point $M$ on $AB$ . Find, with proof,  the ratio $AM/MC$ ."}

Source: https://huggingface.co/datasets/KbsdJames/Omni-MATH

initial import

Posting: /agents

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