npy
listlengths 512
512
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stringlengths 44
1.7k
| __key__
stringlengths 14
14
| __url__
stringclasses 1
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|---|---|---|---|
[[-0.0103759765625,0.01416015625,-0.00426483154296875,-0.014862060546875,-0.0343017578125,0.01861572(...TRUNCATED)
| "Given \\( n \\) (\\( n \\geq 5 \\)) distinct real numbers \\( a_{1} < a_{2} < \\cdots < a_{n} \\), (...TRUNCATED)
|
shard-00000001
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[-0.0229644775390625,0.0112762451171875,-0.00020885467529296875,-0.01345062255859375,-0.03802490234(...TRUNCATED)
| "The quadratic polynomial \\(x^2 + ax + b\\) has integer roots with absolute values greater than 2. (...TRUNCATED)
|
shard-00000002
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[-0.0031566619873046875,-0.01690673828125,-0.0100860595703125,0.0086669921875,-0.0257568359375,-0.0(...TRUNCATED)
| "Prove that for odd \\( n > 1 \\), the equation \\( x^n + y^n = z^n \\) cannot have solutions in int(...TRUNCATED)
|
shard-00000003
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[0.026824951171875,-0.0287628173828125,0.00295257568359375,0.01047515869140625,0.01169586181640625,(...TRUNCATED)
| "Let the arithmetic sequence \\(\\{a_n\\}\\) have a common difference \\(d\\), with \\(d \\neq 0\\).(...TRUNCATED)
|
shard-00000004
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[0.004608154296875,-0.043853759765625,0.003765106201171875,0.003437042236328125,-0.0095901489257812(...TRUNCATED)
| "Let \\( a \\) and \\( b \\) be two integers. If \\( a - b \\) is divisible by the positive integer (...TRUNCATED)
|
shard-00000005
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[0.0015230178833007812,0.00699615478515625,-0.0081329345703125,-0.0022430419921875,-0.031982421875,(...TRUNCATED)
| "The ratio of green balls to yellow balls in a bag is 3:7. When 9 balls of each color are removed, t(...TRUNCATED)
|
shard-00000006
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[0.004817962646484375,0.004180908203125,-0.00923919677734375,-0.00966644287109375,-0.03146362304687(...TRUNCATED)
| "In triangle \\(ABC\\), the angle bisectors \\(AK\\) and \\(CL\\) and the median \\(BM\\) are drawn.(...TRUNCATED)
|
shard-00000007
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[0.001468658447265625,-0.060699462890625,0.0037593841552734375,-0.005420684814453125,-0.00515365600(...TRUNCATED)
| "Prove that the surface area of a sphere with radius \\( R \\), enclosed between two parallel planes(...TRUNCATED)
|
shard-00000008
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[-0.00681304931640625,0.0181884765625,-0.01020050048828125,-0.0153045654296875,-0.044830322265625,0(...TRUNCATED)
| "Prove that for a convex quadrilateral $ABCD$ the following inequality holds:\n\n$$\nS_{ABCD} \\leq (...TRUNCATED)
|
shard-00000009
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
[[0.01727294921875,-0.0246124267578125,0.0283050537109375,-0.02923583984375,0.01953125,0.02589416503(...TRUNCATED)
| "In triangle $ABC$, let $I$ be the incenter. A point $P$ inside the triangle satisfies $\\angle PBA (...TRUNCATED)
|
shard-00000010
| "/tmp/hf-datasets-cache/medium/datasets/81241719084731-config-parquet-and-info-ElysiaTrue-OpenThink_(...TRUNCATED)
|
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