prompt stringlengths 119 5.62k | ground_truth stringclasses 4
values | initial_responses listlengths 64 64 | initial_trimmed_token_lists listlengths 64 64 |
|---|---|---|---|
"Among the following exoplanets, which one has the highest density?\n\na) An Earth-mass and Earth-ra(...TRUNCATED) | D | ["\nE. More than one answer is correct.\n\nTo determine which exoplanet has the highest density, we (...TRUNCATED) | [[198,36,13,4398,1091,825,4226,374,4396,382,1249,8253,892,505,93460,295,702,279,8426,17457,11,582,11(...TRUNCATED) |
"Observations of structures located at a distance of about 2.1 gigaparsecs (2.1 Gpc) are being carri(...TRUNCATED) | C | [" To determine what is most likely to be observed with the absorption line in the Milky Way, we nee(...TRUNCATED) | [[2014,8253,1128,374,1429,4363,311,387,13166,448,279,43125,1555,304,279,88719,12149,11,582,1184,311,(...TRUNCATED) |
"Astronomers are studying a system of three exoplanets (Planet1, Planet2, and Planet3) with circular(...TRUNCATED) | D | ["\nE. ~ 123.5\n\nTo solve this problem, we need to use the relationship between the orbital period (...TRUNCATED) | [[198,36,13,3968,220,16,17,18,13,20,271,1249,11625,419,3491,11,582,1184,311,990,279,5025,1948,279,64(...TRUNCATED) |
"Astronomers are studying a star with a 1.5 solar radius and 1.1 solar masses. When the star's surfa(...TRUNCATED) | C | [" To solve this problem, we need to understand the relationship between the temperature of the star(...TRUNCATED) | [[2014,11625,419,3491,11,582,1184,311,3535,279,5025,1948,279,9315,315,279,6774,594,7249,8023,323,279(...TRUNCATED) |
"Two planets have been detected orbiting a star using both the transit and radial velocity (RV) meth(...TRUNCATED) | C | ["\n\nTo solve this problem, we need to understand the relationship between the albedo, the effectiv(...TRUNCATED) | [[271,1249,11625,419,3491,11,582,1184,311,3535,279,5025,1948,279,452,88987,11,279,7373,9315,315,279,(...TRUNCATED) |
"Astronomers are currently observing a star with a radius equal to that of the Sun. One hemisphere (...TRUNCATED) | A | ["\nE. ~0.28 To solve this problem, we need to understand how the intensity of the star's light chan(...TRUNCATED) | [[198,36,13,3968,15,13,17,23,2014,11625,419,3491,11,582,1184,311,3535,1246,279,20612,315,279,6774,59(...TRUNCATED) |
"Which of the following stars can be detected with both the ESPRESSO spectrograph at the Paranal Obs(...TRUNCATED) | C | ["\nE. Star3, Star4 and Star5\n\nTo determine which stars can be detected with both the ESPRESSO spe(...TRUNCATED) | [[198,36,13,7679,18,11,7679,19,323,7679,20,271,1249,8253,892,9759,646,387,16507,448,2176,279,18117,7(...TRUNCATED) |
"Observations of a quasar across the electromagnetic spectrum are being carried out. Focusing on the(...TRUNCATED) | A | ["\nE. 10 Gpc\nF. 5 Gpc\nG. 4 Gpc\nH. 3 Gpc\n\nTo find the comoving distance of the quasar from the (...TRUNCATED) | [[198,36,13,220,16,15,479,3992,198,37,13,220,20,479,3992,198,38,13,220,19,479,3992,198,39,13,220,18,(...TRUNCATED) |
"Astronomers are studying two binary star systems: system_1 and system_2. Observations reveal that b(...TRUNCATED) | D | ["\nE. ~ 1.6\nTo determine the factor by which system_1 is more massive than system_2, we need to us(...TRUNCATED) | [[198,36,13,3968,220,16,13,21,198,1249,8253,279,8168,553,892,1849,62,16,374,803,10951,1091,1849,62,1(...TRUNCATED) |
"Very large number of neutrinos produced by the Sun reach the Earth (very large flux of neutrinos, d(...TRUNCATED) | B | [" \nE. 100.\n\nTo solve this problem, we need to understand the concept of neutrino flux and how it(...TRUNCATED) | [[715,36,13,220,16,15,15,382,1249,11625,419,3491,11,582,1184,311,3535,279,7286,315,41599,3313,30305,(...TRUNCATED) |
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