prompt_text stringlengths 172 996 | prompt_ids listlengths 57 414 | decode_ids listlengths 1.02k 1.02k | prompt_pattern listlengths 6 6 | decode_pattern listlengths 6 6 | decode_pattern_logits listlengths 6 6 |
|---|---|---|---|---|---|
"Answer the following questions and give detailed answers: Every morning Aya goes for a $9$-kilomete(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,2181,1379,71,63,9,1550,21,3,9,16616,3229,18,31247,18,2961,1482,(...TRUNCATED) | [32099,71,63,9,10681,12,3,9,1975,1814,227,3074,5,363,33,8,1358,58,32098,10,233,32097,3274,2423,32096(...TRUNCATED) | [[[2,18],[117,20],[109,62],[51,13],[106,30],[16,4],[78,45],[56,13],[121,71],[110,47],[84,70],[63,71](...TRUNCATED) | [[[39,41],[42,56],[20,75],[15,116],[104,40],[45,122],[16,13],[122,119],[41,63],[1,15],[3,56],[74,75](...TRUNCATED) | [[[2.5114643573760986,2.5045437812805176],[4.282408237457275,3.5633432865142822],[3.3157525062561035(...TRUNCATED) |
"Answer the following questions and give detailed answers: Let $ABC$ be a triangle inscribed in circ(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,1563,1514,5359,254,3229,36,3,9,19938,16,22573,16,8196,1514,2,71(...TRUNCATED) | [32099,7996,1877,10450,13,8,3,8967,295,7,44,500,1514,2,7159,122,9,3229,5,209,32098,5,220,32097,15,32(...TRUNCATED) | [[[2,18],[117,20],[109,62],[51,13],[106,30],[16,114],[78,45],[56,13],[121,31],[2,24],[12,31],[39,115(...TRUNCATED) | [[[39,41],[49,85],[18,90],[101,60],[122,88],[13,2],[41,39],[37,31],[100,122],[67,88],[18,56],[103,26(...TRUNCATED) | [[[2.8542940616607666,2.846517324447632],[4.797977924346924,3.5318121910095215],[4.806801795959473,4(...TRUNCATED) |
"Answer the following questions and give detailed answers: Each vertex of a regular octagon is indep(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,1698,548,10354,13,3,9,1646,3,32,75,2408,106,19,13971,11999,893,(...TRUNCATED) | [32099,8,2302,45,209,12,460,5,37,2024,1525,19,233,3,5,2853,32098,7,5,3594,32097,5,32096,3155,32095,1(...TRUNCATED) | [[[2,18],[117,20],[109,62],[51,13],[106,30],[16,114],[78,45],[56,13],[121,31],[110,47],[39,52],[53,4(...TRUNCATED) | [[[39,63],[119,79],[85,26],[51,56],[9,26],[45,122],[9,68],[117,112],[93,2],[53,56],[91,63],[34,124],(...TRUNCATED) | [[[2.8618648052215576,2.855537176132202],[4.097465991973877,4.096366882324219],[4.143611431121826,2.(...TRUNCATED) |
"Answer the following questions and give detailed answers: Define $f(x)=|| x|-\\tfrac{1}{2}|$ and $g(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,374,13536,1514,89,599,226,61,2423,9175,9175,3,226,9175,18,2,17,(...TRUNCATED) | [32099,2342,8,381,13,15415,7,13,8,192,8373,7,5,3,2,3,2,32098,3,2,61,32097,5,3,2,61,32096,599,2,61,32(...TRUNCATED) | [[[2,18],[117,20],[62,109],[51,13],[106,30],[50,4],[78,45],[56,13],[121,89],[2,114],[53,95],[12,47],(...TRUNCATED) | [[[39,63],[69,62],[2,122],[106,79],[56,2],[101,21],[67,41],[86,79],[2,41],[47,2],[22,85],[41,39],[11(...TRUNCATED) | [[[2.7385849952697754,2.7291526794433594],[4.661539077758789,3.9960532188415527],[3.9257051944732666(...TRUNCATED) |
"Answer the following questions and give detailed answers: Let $p$ be the least prime number for whi(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,1563,1514,102,3229,36,8,709,3427,381,21,84,132,8085,3,9,1465,30(...TRUNCATED) | [32099,4269,28,2883,1275,3,99,487,5,86,8,416,822,6,754,1525,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,(...TRUNCATED) | [[[2,18],[117,20],[109,62],[51,13],[106,30],[114,16],[78,45],[56,13],[121,31],[2,24],[12,31],[38,108(...TRUNCATED) | [[[39,63],[91,41],[51,56],[127,2],[82,56],[65,119],[3,122],[83,56],[117,112],[17,65],[124,71],[127,1(...TRUNCATED) | [[[2.952043294906616,2.9435603618621826],[3.487276315689087,2.653531551361084],[4.149142265319824,3.(...TRUNCATED) |
"Answer the following questions and give detailed answers: Let $ABCD$ be a tetrahedron such that $AB(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,1563,1514,5359,6931,3229,36,3,9,3,17,15,1313,88,18935,224,24,15(...TRUNCATED) | [32099,25,43,8,1127,21,1514,2247,3229,58,599,15866,61,599,4729,61,61,2,5,11801,3,10,32098,41,16968,1(...TRUNCATED) | [[[2,18],[117,20],[109,62],[51,13],[106,30],[16,4],[78,45],[56,13],[121,31],[2,24],[12,31],[39,11],[(...TRUNCATED) | [[[39,41],[26,2],[28,56],[56,122],[82,56],[41,63],[73,26],[73,102],[73,72],[5,56],[58,40],[70,26],[7(...TRUNCATED) | [[[2.704028606414795,2.69631028175354],[5.1458964347839355,3.8058390617370605],[4.918564796447754,3.(...TRUNCATED) |
"Answer the following questions and give detailed answers: Let $\\mathcal{B}$ be the set of rectangu(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,1563,1514,2,3357,107,1489,2,279,2,3229,36,8,356,13,24675,5598,2(...TRUNCATED) | [32099,3,99,1514,102,2,357,3229,11,1514,1824,2,357,3229,6898,5,3,32098,3,32097,44,167,3771,32096,5,3(...TRUNCATED) | [[[2,18],[117,20],[109,62],[51,13],[106,30],[114,4],[78,45],[56,13],[121,71],[2,24],[12,47],[38,25],(...TRUNCATED) | [[[39,63],[41,119],[3,122],[73,26],[37,39],[76,56],[72,90],[73,72],[122,1],[73,26],[37,10],[76,75],[(...TRUNCATED) | [[[2.6942954063415527,2.686974048614502],[3.963111639022827,3.9630181789398193],[4.0918073654174805,(...TRUNCATED) |
"Answer the following questions and give detailed answers: There exist real numbers $x$ and $y$, bot(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,290,3223,490,2302,1514,226,3229,11,1514,63,3229,6,321,2123,145,(...TRUNCATED) | [32099,11,149,186,96,77,5582,17,15,121,2302,33,132,58,32098,3,32097,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,(...TRUNCATED) | [[[2,18],[117,20],[109,62],[51,13],[106,30],[4,50],[78,45],[56,13],[121,68],[67,60],[4,114],[78,39],(...TRUNCATED) | [[[39,102],[77,55],[92,56],[78,40],[59,71],[76,56],[31,100],[57,122],[52,75],[72,90],[85,26],[34,102(...TRUNCATED) | [[[3.135437488555908,3.1346640586853027],[3.7812862396240234,3.7812693119049072],[4.749607563018799,(...TRUNCATED) |
"Answer the following questions and give detailed answers: Alice and Bob play the following game. A (...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,13390,11,5762,577,8,826,467,5,71,9013,13,1514,29,3229,14145,7,7(...TRUNCATED) | [32099,8,1959,1217,3,9,919,3,9,14145,21,284,596,11,258,5762,9204,8,467,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED) | [[[2,18],[117,20],[62,109],[51,13],[106,30],[16,4],[78,45],[56,13],[121,71],[126,24],[57,89],[126,89(...TRUNCATED) | [[[39,63],[122,41],[105,26],[69,39],[79,71],[122,79],[104,41],[41,79],[122,79],[22,79],[122,41],[127(...TRUNCATED) | [[[2.6949942111968994,2.686302900314331],[4.0617170333862305,4.050693035125732],[4.128017902374268,3(...TRUNCATED) |
"Answer the following questions and give detailed answers: Jen enters a lottery by picking $4$ disti(...TRUNCATED) | [11801,8,826,746,11,428,3117,4269,10,9101,2058,7,3,9,22784,57,8915,7514,3229,6746,2302,45,1514,134,2(...TRUNCATED) | [32099,432,2821,6792,30,180,10296,4921,6,11202,3476,95,6,672,5,1029,10,9101,9101,5,32098,10,32097,32(...TRUNCATED) | [[[2,18],[117,20],[109,62],[51,13],[106,30],[16,50],[78,45],[56,13],[121,31],[126,98],[18,65],[113,3(...TRUNCATED) | [[[39,63],[80,122],[104,49],[101,55],[3,56],[125,55],[31,0],[91,110],[39,102],[30,79],[19,122],[123,(...TRUNCATED) | [[[3.0351274013519287,3.0259079933166504],[3.401566505432129,2.389646291732788],[4.074042320251465,2(...TRUNCATED) |
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