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rediska0123
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train_prm800k_qwen3.5-122B_annotated_k2_think_thinking_extracted_v1_hs

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question stringclasses 1 value	answer stringclasses 1 value	input_ids listlengths 6.71k 6.71k	reply stringclasses 1 value	original_index int64 0 0	claims listlengths 271 271	verified listlengths 271 271	last_hidden_state listlengths 6.71k 6.71k
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)
"The first four terms in an arithmetic sequence are $x+y$, $x-y$, $xy$, and $x/y$, in that order. Wh(...TRUNCATED)	"Since the difference of the first two terms is $-2y$, the third and fourth terms of the sequence mu(...TRUNCATED)	[0,250018,5671,256,1947,2687,4581,7114,1245,1250,84142,9743,1609,1524,112,75499,4256,1524,112,7849,4(...TRUNCATED)	"We have an arithmetic sequence with first four terms: a1 = x + y, a2 = x - y, a3 = xy, a4 = x / y. (...TRUNCATED)	0	[{"aligned_token_ids":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,(...TRUNCATED)	[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,null,null,null,null,null,null,null,null(...TRUNCATED)	[[-344.0,9.75,-260.0,-17.5,-20.375,116.5,25.125,15.5,-536.0,-55.0,-104.5,-172.0,-35.5,-216.0,104.5,9(...TRUNCATED)

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