answer stringclasses 255
values | prompt stringclasses 272
values | prompt_token_ids listlengths 36 417 | shard_file stringclasses 8
values | response listlengths 2 6 | dataset stringclasses 1
value | response_token_ids listlengths 536 32.8k | response_token_length int64 536 32.8k |
|---|---|---|---|---|---|---|---|
1.6 | <|im_start|>user
Each of the two Magellan telescopes has a diameter of $6.5 \mathrm{~m}$. In one configuration the effective focal length is $72 \mathrm{~m}$. Find the diameter of the image of a planet (in $\mathrm{cm}$ ) at this focus if the angular diameter of the planet at the time of the observation is $45^{\prime ... | [
151644,
872,
198,
4854,
315,
279,
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6879,
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18523,
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315,
400,
21,
13,
20,
1124,
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93,
76,
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758,
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1... | sharding_1_2025-07-16 23:36.jsonl | [
"Okay, so I need to find the diameter of the image of a planet at the focus of the Magellan telescope. The telescope has a diameter of 6.5 meters and an effective focal length of 72 meters. The angular diameter of the planet is given as 45 arcseconds. Hmm, let me think about how to approach this.\n\nFirst, I rememb... | minerva_math | [
32313,
11,
773,
358,
1184,
311,
1477,
279,
23033,
315,
279,
2168,
315,
264,
11580,
518,
279,
5244,
315,
279,
6879,
84786,
55825,
13,
576,
55825,
702,
264,
23033,
315,
220,
21,
13,
20,
20044,
323,
458,
7373,
41099,
3084,
315,
220,
22... | 11,471 |
1.6 | "<|im_start|>user\nEach of the two Magellan telescopes has a diameter of $6.5 \\mathrm{~m}$. In one (...TRUNCATED) | [151644,872,198,4854,315,279,1378,6879,84786,77413,18523,702,264,23033,315,400,21,13,20,1124,91550,9(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to find the diameter of the image of a planet at the focus of the Magellan telesco(...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,1477,279,23033,315,279,2168,315,264,11580,518,279,5244,315,279,6879,84786(...TRUNCATED) | 9,502 |
4.5e33 | "<|im_start|>user\nA white dwarf star has an effective temperature, $T_{e}=50,000$ degrees Kelvin, b(...TRUNCATED) | [151644,872,198,32,4158,49461,6774,702,458,7373,9315,11,400,51,15159,68,51185,20,15,11,15,15,15,3,12(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to compute the luminosity of a white dwarf star. The problem gives me the effectiv(...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,12564,279,44958,22053,315,264,4158,49461,6774,13,576,3491,6696,752,279,73(...TRUNCATED) | 9,361 |
4.5e33 | "<|im_start|>user\nA white dwarf star has an effective temperature, $T_{e}=50,000$ degrees Kelvin, b(...TRUNCATED) | [151644,872,198,32,4158,49461,6774,702,458,7373,9315,11,400,51,15159,68,51185,20,15,11,15,15,15,3,12(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to compute the luminosity of a white dwarf star. The problem gives me the effectiv(...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,1477,279,44958,22053,315,264,4158,49461,6774,13,576,3491,2727,432,702,458(...TRUNCATED) | 9,237 |
41.8 | "<|im_start|>user\nPreamble: A prism is constructed from glass and has sides that form a right trian(...TRUNCATED) | [151644,872,198,47,86706,25,362,93610,374,20346,504,8991,323,702,11067,429,1352,264,1290,21495,448,2(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to find the critical angle for the light to be internally reflected at the hypoten(...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,1477,279,9023,9210,369,279,3100,311,387,33067,25911,518,279,9751,65628,81(...TRUNCATED) | 3,358 |
41.8 | "<|im_start|>user\nPreamble: A prism is constructed from glass and has sides that form a right trian(...TRUNCATED) | [151644,872,198,47,86706,25,362,93610,374,20346,504,8991,323,702,11067,429,1352,264,1290,21495,448,2(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to find the critical angle for the light to be internally reflected at the hypoten(...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,1477,279,9023,9210,369,5306,21844,518,279,9751,65628,810,472,315,419,8991(...TRUNCATED) | 4,046 |
20.39 | "<|im_start|>user\nA particular star has an absolute magnitude $M=-7$. If this star is observed in a(...TRUNCATED) | [151644,872,198,32,3953,6774,702,458,10740,25621,400,44,10829,22,12947,1416,419,6774,374,13166,304,2(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to find the apparent magnitude of a star that has an absolute magnitude of -7 when(...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,1477,279,9981,25621,315,264,6774,429,702,458,10740,25621,315,481,22,979,4(...TRUNCATED) | 6,043 |
20.39 | "<|im_start|>user\nA particular star has an absolute magnitude $M=-7$. If this star is observed in a(...TRUNCATED) | [151644,872,198,32,3953,6774,702,458,10740,25621,400,44,10829,22,12947,1416,419,6774,374,13166,304,2(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to find the apparent magnitude of a star that has an absolute magnitude of -7 when(...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,1477,279,9981,25621,315,264,6774,429,702,458,10740,25621,315,481,22,11,32(...TRUNCATED) | 6,061 |
0.006 | "<|im_start|>user\nFind the gravitational acceleration due to the Sun at the location of the Earth's(...TRUNCATED) | [151644,872,198,9885,279,69919,30803,4152,311,279,8059,518,279,3728,315,279,9237,594,26507,320,72,17(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to find the gravitational acceleration due to the Sun at the Earth's orbit, which (...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,1477,279,69919,30803,4152,311,279,8059,518,279,9237,594,26507,11,892,374,(...TRUNCATED) | 7,352 |
0.006 | "<|im_start|>user\nFind the gravitational acceleration due to the Sun at the location of the Earth's(...TRUNCATED) | [151644,872,198,9885,279,69919,30803,4152,311,279,8059,518,279,3728,315,279,9237,594,26507,320,72,17(...TRUNCATED) | sharding_1_2025-07-16 23:36.jsonl | ["Okay, so I need to find the gravitational acceleration due to the Sun at the Earth's orbit, which (...TRUNCATED) | minerva_math | [32313,11,773,358,1184,311,1477,279,69919,30803,4152,311,279,8059,518,279,9237,594,26507,11,892,374,(...TRUNCATED) | 7,214 |
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