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task
stringclasses
1 value
prompt
stringclasses
1 value
target_response
stringclasses
371 values
cot_continuation
stringlengths
0
333
response_filtered
stringlengths
1
192
context_input_ids
listlengths
41
924
context_positions
listlengths
24
75
layers
listlengths
3
3
sent_idx
int64
1
1.18k
total_sentences
int64
9
1.18k
pct
int64
0
100
answer_trajectory
What does the model currently think the answer is?
50
either 50 mg or 250 mg, depending on assumptions
uncertain
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[ 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, ...
[ 9, 18, 27 ]
158
188
84
answer_trajectory
What does the model currently think the answer is?
G
F? Or G?
F
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[ 74, 148, 222, 296, 370, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 74, 148, 222, 296, 370, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520...
[ 9, 18, 27 ]
386
792
48
answer_trajectory
What does the model currently think the answer is?
D. Data not sufficient
D) Data not sufficient? But the options include E) None of these. Wait, but maybe there's a way to find Shiny's speed?
D
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[ 14, 28, 42, 56, 70, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 14, 28, 42, 56, 70, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170...
[ 9, 18, 27 ]
249
568
44
answer_trajectory
What does the model currently think the answer is?
G
100% - 42.7% = 57.3%. Which is approximately 57.15%, which is option G
G
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[ 23, 46, 70, 93, 116, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 23, 46, 70, 93, 116, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 22...
[ 9, 18, 27 ]
106
172
62
answer_trajectory
What does the model currently think the answer is?
D
not 24
uncertain
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[ 13, 26, 39, 52, 65, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 13, 26, 39, 52, 65, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, ...
[ 9, 18, 27 ]
318
439
72
answer_trajectory
What does the model currently think the answer is?
2000
$2000? Let me verify once more
2000
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[ 9, 18, 28, 37, 46, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 9, 18, 28, 37, 46, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151...
[ 9, 18, 27 ]
33
71
47
answer_trajectory
What does the model currently think the answer is?
D
B or F. But I need to think again
B
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[ 84, 169, 253, 338, 422, 507, 512, 517, 522, 527, 532, 537, 542, 547, 552, 557, 562, 567, 572, 577, 582, 587, 592, 597, 602, 84, 169, 253, 338, 422, 507, 512, 517, 522, 527, 532, 537, 542, 547, 552, 557, 562, 567, 572, 577, 582...
[ 9, 18, 27 ]
158
193
82
answer_trajectory
What does the model currently think the answer is?
C
C)4320
C. 4320
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[ 12, 24, 37, 49, 61, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 12, 24, 37, 49, 61, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 16...
[ 9, 18, 27 ]
124
239
52
answer_trajectory
What does the model currently think the answer is?
A
A) 7/12?
A
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[ 25, 51, 77, 103, 129, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 25, 51, 77, 103, 129, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, ...
[ 9, 18, 27 ]
68
325
21
answer_trajectory
What does the model currently think the answer is?
E
5! = 120. But none of the options are 120. The closest is E) 24. So that's not matching
uncertain
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[ 10, 21, 32, 43, 54, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 10, 21, 32, 43, 54, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155,...
[ 9, 18, 27 ]
99
223
44
answer_trajectory
What does the model currently think the answer is?
C
not among the options
uncertain
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[ 9, 18, 27 ]
331
405
81
answer_trajectory
What does the model currently think the answer is?
C
C) Precipitation of CuS
C) Precipitation of CuS
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[ 42, 85, 127, 170, 212, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 42, 85, 127, 170, 212, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, ...
[ 9, 18, 27 ]
128
297
43
answer_trajectory
What does the model currently think the answer is?
B
0.86 * 250. Let me check that again
172.5
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[ 16, 33, 49, 66, 82, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 16, 33, 49, 66, 82, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, ...
[ 9, 18, 27 ]
43
176
25
answer_trajectory
What does the model currently think the answer is?
D
D) 2.18 g
D. 2.18 g
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[ 26, 53, 79, 106, 132, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 244, 249, 254, 26, 53, 79, 106, 132, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, ...
[ 9, 18, 27 ]
155
166
93
answer_trajectory
What does the model currently think the answer is?
A
25,200, which is option A. But let me check if there's another way to think about this problem, just to make sure
A. 25200
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[ 13, 26, 39, 52, 65, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 13, 26, 39, 52, 65, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, ...
[ 9, 18, 27 ]
61
185
33
answer_trajectory
What does the model currently think the answer is?
70
50 * 1.10 = 55. Then, for each ticket, add $5. So, 3 tickets would be 3*5 = 15. So, total is 55 + 1
55 + 15
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[ 9, 19, 29, 38, 48, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 9, 19, 29, 38, 48, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153...
[ 9, 18, 27 ]
75
208
36
answer_trajectory
What does the model currently think the answer is?
D
15.3 - 7.7. Let me compute that. 15.3 - 7 = 8.3, then subtract 0.7 more, so 8.3 - 0.7 =
7.6
[ 151644, 872, 198, 785, 5461, 315, 220, 21, 902, 3159, 82, 374, 220, 18, 13, 24, 20, 13, 576, 5461, 315, 220, 17, 1055, 1105, 374, 220, 19, 13, 17, 11, 1393, 279, 5461, 315, 279, 1575, 220, 17, 374, 220, 18, 13, 23, 20, 13, 3...
[ 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, ...
[ 9, 18, 27 ]
48
303
16
answer_trajectory
What does the model currently think the answer is?
72
8 minutes per 5 burgers. So, 45 burgers would be 9 batches, 9*8=72 minutes. But let me check again
72
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[ 12, 25, 38, 50, 63, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 12, 25, 38, 50, 63, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, ...
[ 9, 18, 27 ]
76
227
33
answer_trajectory
What does the model currently think the answer is?
E
E)90o. But let me check if there's another way to think about it. Maybe using radians?
E. 90o
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[ 12, 24, 36, 48, 60, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 12, 24, 36, 48, 60, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 16...
[ 9, 18, 27 ]
119
213
56
answer_trajectory
What does the model currently think the answer is?
A
A. Because apoptosis is not random. So the statement that it occurs randomly is incorrect. So the answer is A. But I need to check again
A. Because apoptosis is not random. So the statement that it occurs randomly is incorrect. So the answer is A. But I need to check again
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[ 16, 32, 48, 64, 80, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 16, 32, 48, 64, 80, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, ...
[ 9, 18, 27 ]
109
145
75
answer_trajectory
What does the model currently think the answer is?
E
E)212.5m. But wait, the options given include E)212.5 m. So why is the answer not in the options? Wait, no, the options are given as:
uncertain
[ 151644, 872, 198, 641, 264, 6957, 315, 220, 16, 15, 15, 15, 296, 11, 362, 646, 9382, 553, 220, 16, 15, 15, 296, 11, 304, 264, 6957, 315, 220, 23, 15, 15, 76, 11, 425, 646, 9382, 356, 553, 220, 16, 15, 15, 76, 13, 3216, 1246,...
[ 19, 39, 59, 79, 99, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 19, 39, 59, 79, 99, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199,...
[ 9, 18, 27 ]
67
285
23
answer_trajectory
What does the model currently think the answer is?
A
A) W_rev= - 898 cal, q = 9440 cal, ΔH = 9440 cal, ΔE = 8542 cal. Wait, but let me check the calculation again
uncertain
[ 151644, 872, 198, 1655, 220, 22, 21, 15, 10980, 81, 11, 220, 16, 15, 15, 40836, 315, 70946, 1952, 374, 37652, 1506, 518, 1181, 49837, 2411, 220, 22, 21, 15, 10980, 81, 11, 220, 16, 15, 15, 40836, 315, 70946, 1952, 374, 37652, 1506...
[ 89, 178, 267, 356, 445, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620, 625, 630, 89, 178, 267, 356, 445, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610...
[ 9, 18, 27 ]
86
265
32
answer_trajectory
What does the model currently think the answer is?
D
129, which is option D. But let me check with another approach to be safe
D. 129
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[ 9, 18, 27 ]
88
343
25
answer_trajectory
What does the model currently think the answer is?
C
C)4? Let me check again
C. 4
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[ 12, 25, 37, 50, 62, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 12, 25, 37, 50, 62, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, ...
[ 9, 18, 27 ]
43
97
45
answer_trajectory
What does the model currently think the answer is?
B
1,974,000. Let me write the number with commas for clarity: 1,974,000. So, breaking it down:
1,974,000
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[ 22, 45, 68, 91, 114, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 22, 45, 68, 91, 114, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 212, 21...
[ 9, 18, 27 ]
301
462
65
answer_trajectory
What does the model currently think the answer is?
H
F) No crime. But I'm not sure. Let me think again
F
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[ 39, 78, 117, 156, 195, 234, 239, 244, 249, 254, 259, 264, 269, 274, 279, 284, 289, 294, 299, 304, 309, 314, 319, 324, 329, 39, 78, 117, 156, 195, 234, 239, 244, 249, 254, 259, 264, 269, 274, 279, 284, 289, 294, 299, 304, 309, ...
[ 9, 18, 27 ]
156
274
57
answer_trajectory
What does the model currently think the answer is?
64
u = -161 + 50t. Let me find the smallest positive u. Let me solve for t such that -161 + 50t > 0. So, 50t > 16
161. So, t > 3.22. The smallest integer t is 4. Then u = -161 +
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[ 7, 14, 22, 29, 36, 44, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 7, 14, 22, 29, 36, 44, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 7,...
[ 9, 18, 27 ]
118
242
49
answer_trajectory
What does the model currently think the answer is?
D
1450 square feet
1450
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[ 9, 18, 27 ]
115
138
84
answer_trajectory
What does the model currently think the answer is?
C
C
C
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[ 12, 25, 38, 50, 63, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 12, 25, 38, 50, 63, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, ...
[ 9, 18, 27 ]
164
174
94
answer_trajectory
What does the model currently think the answer is?
G
G or I. But since the options are presented as separate, maybe the correct answer is G
G
[ 151644, 872, 198, 32, 20469, 11651, 12163, 1790, 6006, 311, 264, 6981, 13, 40996, 11, 279, 11651, 1030, 29131, 279, 6981, 594, 4438, 311, 4743, 3951, 304, 9343, 389, 264, 91052, 6757, 13, 3776, 13354, 1393, 279, 11651, 572, 296, 23184, ...
[ 41, 82, 123, 164, 205, 247, 252, 257, 262, 267, 272, 277, 282, 287, 292, 297, 302, 307, 312, 317, 322, 327, 332, 337, 342, 41, 82, 123, 164, 205, 247, 252, 257, 262, 267, 272, 277, 282, 287, 292, 297, 302, 307, 312, 317, 322, ...
[ 9, 18, 27 ]
235
400
59
answer_trajectory
What does the model currently think the answer is?
B
B) Hierarchy of needs
B) Hierarchy of needs
[ 151644, 872, 198, 5830, 16602, 19868, 10303, 10981, 279, 4522, 429, 1045, 51040, 525, 803, 47596, 311, 19661, 1091, 3800, 13, 15920, 315, 279, 2701, 19827, 60020, 419, 1939, 32, 8, 5379, 535, 774, 19256, 198, 33, 8, 472, 33880, 315, 3...
[ 17, 35, 53, 70, 88, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201, 17, 35, 53, 70, 88, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186,...
[ 9, 18, 27 ]
23
31
77
answer_trajectory
What does the model currently think the answer is?
A
likely the Bible. Wait, but I'm not sure. Let me think. I think the phrase comes from the Bible, specifically the Book of Job. In Job 19:25-27, there's a reference to being saved
uncertain
[ 151644, 872, 198, 3838, 374, 279, 2530, 315, 279, 678, 7560, 304, 279, 11652, 3685, 5267, 7084, 261, 2684, 1007, 279, 16301, 553, 279, 6787, 315, 806, 17832, 382, 32, 8, 279, 16947, 198, 33, 8, 264, 5700, 271, 16141, 448, 279, 6524,...
[ 8, 16, 24, 32, 40, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 8, 16, 24, 32, 40, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, ...
[ 9, 18, 27 ]
6
22
31
answer_trajectory
What does the model currently think the answer is?
32
20 + 12, which is 32? Wait, but 26 + 6 is 32? Let me check again. 26 plus 6. Let me count. 26, 2
32
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[ 5, 10, 15, 20, 25, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 5, 10, 15, 20, 25, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 5, 1...
[ 9, 18, 27 ]
9
35
28
answer_trajectory
What does the model currently think the answer is?
F
C: There is no privity of estate between the gardener and the landscaper. Wait, but privity of estate exists when there's a transfer of property. The gardener sold the land to the landscaper, so there is privity
uncertain
[ 151644, 872, 198, 32, 11721, 26669, 12938, 264, 41829, 315, 4268, 323, 10030, 264, 4401, 3119, 311, 21749, 279, 4268, 1119, 220, 16, 15, 15, 10077, 323, 1855, 264, 20057, 3942, 389, 279, 41829, 315, 4268, 13, 576, 40921, 315, 356, 162...
[ 66, 133, 200, 266, 333, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 66, 133, 200, 266, 333, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475...
[ 9, 18, 27 ]
210
468
45
answer_trajectory
What does the model currently think the answer is?
E
E. But I'm not sure. Alternatively, maybe the question is using the "coinsurance" formula. For example, if the building is worth $78k, and the insurance companies have policies with face values. If the coinsurance is
uncertain
[ 151644, 872, 198, 32, 4752, 11, 20123, 553, 3940, 311, 279, 12818, 315, 400, 22, 23, 11, 15, 15, 15, 11, 23377, 8113, 300, 11017, 25, 21674, 8188, 18596, 5162, 315, 10974, 362, 400, 16, 20, 11, 15, 15, 15, 425, 400, 16, 15, 11, ...
[ 89, 179, 268, 358, 447, 537, 542, 547, 552, 557, 562, 567, 572, 577, 582, 587, 592, 597, 602, 607, 612, 617, 622, 627, 632, 89, 179, 268, 358, 447, 537, 542, 547, 552, 557, 562, 567, 572, 577, 582, 587, 592, 597, 602, 607, 612...
[ 9, 18, 27 ]
212
288
73
answer_trajectory
What does the model currently think the answer is?
D
C and F. But since the user is asking for one letter, maybe the answer is C. However, I need to check if there's any other possible answer. Wait, the options are A-J. Let me check again. The answer is
C
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[ 16, 32, 48, 64, 80, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 16, 32, 48, 64, 80, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, ...
[ 9, 18, 27 ]
195
223
87
answer_trajectory
What does the model currently think the answer is?
C
C) walking. But I'm not 100% sure. Alternatively, maybe the answer is D) stand still, but that's not moving. Wait, the question says "he could only move by doing what?" So the answer must
C
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[ 9, 18, 27 ]
58
97
60
answer_trajectory
What does the model currently think the answer is?
A
A)21. But I need to check if there's a mistake in my calculation
A. 21
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[ 9, 18, 27 ]
474
537
88
answer_trajectory
What does the model currently think the answer is?
85
either 85 or 120. Given that the problem says "she collected 35 coins from the fountain" for the next two hours, and the first hour is 15, it's more likely that the total is
120
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[ 16, 32, 48, 64, 80, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 16, 32, 48, 64, 80, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, ...
[ 9, 18, 27 ]
233
337
69
answer_trajectory
What does the model currently think the answer is?
15
(120 * 1/2) / 4 = 60 / 4 = 15
15
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[ 9, 18, 27 ]
53
68
79
answer_trajectory
What does the model currently think the answer is?
A
3 possibilities for the fourth digit
uncertain
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[ 9, 18, 27 ]
14
195
7
answer_trajectory
What does the model currently think the answer is?
B
\boxed{B}
B
[ 151644, 872, 198, 11613, 31760, 525, 738, 369, 458, 16624, 518, 220, 16, 15, 220, 15, 62410, 304, 279, 3729, 13, 3776, 3736, 19619, 220, 17, 4420, 817, 6460, 13, 3197, 279, 10596, 3736, 4933, 220, 19, 25, 16, 17, 304, 279, 6556, 9...
[ 16, 33, 49, 66, 82, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 16, 33, 49, 66, 82, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, ...
[ 9, 18, 27 ]
236
237
100
answer_trajectory
What does the model currently think the answer is?
G
E) 75% or I) 15.5%?
I) 15.5%
[ 151644, 872, 198, 59085, 88, 48393, 39674, 4246, 70, 14212, 27397, 13530, 525, 24109, 369, 279, 9362, 315, 6335, 7541, 13, 74920, 13530, 653, 537, 1473, 279, 17567, 518, 678, 26, 17073, 13530, 614, 825, 4462, 448, 6335, 7541, 26, 323, ...
[ 23, 46, 69, 92, 115, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, 23, 46, 69, 92, 115, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 21...
[ 9, 18, 27 ]
234
397
59
answer_trajectory
What does the model currently think the answer is?
45
3 × mid-June depth. But sometimes, people might interpret "three times deeper" as original depth + three times original depth, which would be four times the original depth. But I think in most cases, especially in math problems, "
uncertain
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[ 11, 22, 34, 45, 56, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 11, 22, 34, 45, 56, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158,...
[ 9, 18, 27 ]
22
93
24
answer_trajectory
What does the model currently think the answer is?
A
the number of ways to arrange them such that:
uncertain
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[ 20, 41, 62, 83, 104, 125, 130, 135, 140, 145, 150, 155, 160, 20, 41, 62, 83, 104, 125, 130, 135, 140, 145, 150, 155, 160, 20, 41, 62, 83, 104, 125, 130, 135, 140, 145, 150, 155, 160 ]
[ 9, 18, 27 ]
1
258
0
answer_trajectory
What does the model currently think the answer is?
B
225 - (5×14 + 9×16) = 225 - (70 + 144) = 225 - 214 = 11. Yep, that
11
[ 151644, 872, 198, 785, 5461, 4231, 315, 220, 16, 20, 4143, 315, 264, 536, 374, 220, 16, 20, 1635, 13, 4371, 315, 1493, 11, 279, 5461, 4231, 315, 220, 20, 4143, 374, 220, 16, 19, 1635, 323, 429, 315, 279, 1008, 220, 24, 4143, 374...
[ 16, 33, 50, 66, 83, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 16, 33, 50, 66, 83, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180,...
[ 9, 18, 27 ]
30
68
45
answer_trajectory
What does the model currently think the answer is?
A
310 × 0.5 = 155 rupees. Wait, but looking at the options, D is 155. But let me check again because sometimes there might be a mistake in calculation
D. 155
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[ 14, 28, 42, 56, 70, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 14, 28, 42, 56, 70, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170...
[ 9, 18, 27 ]
47
233
20
answer_trajectory
What does the model currently think the answer is?
B
11. So, the middle number is 11. Therefore, the answer is B
B. 11
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[ 9, 18, 27 ]
64
193
33
answer_trajectory
What does the model currently think the answer is?
C
3 km/hr * 30 seconds
60 meters
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[ 15, 31, 47, 62, 78, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 15, 31, 47, 62, 78, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 1...
[ 9, 18, 27 ]
187
452
41
answer_trajectory
What does the model currently think the answer is?
C
87,529. Wait, let me check again:
87,529
[ 151644, 872, 198, 7644, 7257, 16, 22, 23, 24, 10, 24, 15, 16, 16, 12, 22, 23, 16, 24, 28, 24, 15, 20, 16, 15, 13, 20517, 279, 897, 315, 1599, 271, 32, 8, 23, 22, 20, 15, 16, 198, 33, 8, 23, 22, 20, 24, 24, 198, 34, 8, ...
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[ 9, 18, 27 ]
108
186
58
answer_trajectory
What does the model currently think the answer is?
A
18? But that's not among the options. So, maybe I made a mistake in the calculation?
18
[ 151644, 872, 198, 3838, 374, 279, 7192, 897, 315, 43460, 481, 379, 89, 13, 1416, 279, 897, 315, 348, 12803, 7358, 22669, 614, 311, 387, 11882, 504, 279, 738, 362, 1380, 362, 4080, 18, 4999, 17, 4999, 16, 11, 15, 11, 16, 11, 17, ...
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[ 9, 18, 27 ]
107
795
13
answer_trajectory
What does the model currently think the answer is?
A
A) toy store
uncertain
[ 151644, 872, 198, 4498, 566, 572, 264, 2613, 1682, 566, 2598, 279, 40289, 37780, 84665, 264, 19362, 11, 432, 572, 264, 21208, 4938, 315, 279, 1431, 707, 19931, 1128, 1939, 32, 8, 21357, 3553, 198, 33, 8, 3364, 2311, 198, 34, 8, 2244...
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[ 9, 18, 27 ]
97
104
94
answer_trajectory
What does the model currently think the answer is?
36000
36,000 pounds
36000
[ 151644, 872, 198, 32, 58685, 19253, 702, 264, 2795, 315, 220, 20, 15, 15, 15, 15, 16302, 13, 220, 220, 16, 15, 4, 315, 279, 4680, 5221, 87706, 518, 279, 1156, 3553, 11, 323, 220, 17, 15, 4, 315, 279, 9664, 2795, 374, 6963, 518, ...
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[ 9, 18, 27 ]
76
116
66
answer_trajectory
What does the model currently think the answer is?
A
that "physical" would come after "presence" (which is P-E-R-S...), but before "popular" (P-O-P...). Wait, no. Wait, "physical" starts with P-H, which is after P-E,
uncertain
[ 151644, 872, 198, 23085, 3409, 1035, 498, 1477, 389, 264, 10997, 2150, 448, 279, 2701, 8474, 4244, 5267, 2752, 481, 5411, 271, 32, 8, 6961, 198, 33, 8, 9362, 271, 16141, 448, 279, 6524, 13, 151645, 198, 151644, 77091, 198, 32313, 11, ...
[ 6, 13, 20, 26, 33, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 6, 13, 20, 26, 33, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 6,...
[ 9, 18, 27 ]
168
340
49
answer_trajectory
What does the model currently think the answer is?
7
7
7
[ 151644, 872, 198, 32, 22174, 2083, 1030, 220, 17, 19, 4217, 10030, 369, 264, 22174, 1809, 13, 576, 1156, 4279, 5485, 220, 16, 16, 4217, 1191, 279, 1809, 448, 220, 17, 93650, 1865, 13, 758, 279, 2086, 4279, 11, 279, 2083, 1865, 10917...
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[ 9, 18, 27 ]
413
458
90
answer_trajectory
What does the model currently think the answer is?
D
D. Standardized tests are designed so that scores can be compared to a norm group, which is a group of people who took the same test under similar conditions. That makes sense because standardized tests are meant to be consistent and comparable across different individuals
D. Standardized tests
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[ 9, 18, 27 ]
16
34
50
answer_trajectory
What does the model currently think the answer is?
J
approximately 0.0109
0.0109
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[ 9, 18, 27 ]
97
334
29
answer_trajectory
What does the model currently think the answer is?
A
A)96%
A. 96%
[ 151644, 872, 198, 32, 1372, 374, 76534, 17779, 553, 220, 20, 4518, 315, 1660, 54916, 553, 220, 20, 13, 7379, 279, 11414, 2297, 304, 279, 1102, 4152, 259, 419, 16523, 382, 32, 8, 24, 21, 13744, 33, 8, 24, 20, 13744, 34, 8, 17, 19...
[ 11, 23, 35, 46, 58, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 11, 23, 35, 46, 58, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 16...
[ 9, 18, 27 ]
355
376
94
answer_trajectory
What does the model currently think the answer is?
C
B
B
[ 151644, 872, 198, 16429, 1172, 1493, 16720, 11, 892, 3405, 646, 32367, 19314, 448, 458, 9342, 1939, 32, 8, 3155, 8131, 19240, 82, 33682, 5080, 1091, 9155, 19240, 82, 389, 264, 24837, 31178, 5267, 33, 8, 12553, 279, 19240, 33682, 5080, ...
[ 12, 24, 36, 48, 60, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 12, 24, 36, 48, 60, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 16...
[ 9, 18, 27 ]
57
66
87
answer_trajectory
What does the model currently think the answer is?
J
that for an isothermal reversible process, the heat absorbed by the system is equal to the work done by the system. So q = w. But I need to be careful with the sign conventions. Let me check
q = w
[ 151644, 872, 198, 17, 4544, 642, 315, 458, 10507, 6819, 525, 17183, 17431, 6487, 323, 374, 1575, 76, 745, 518, 220, 15, 30937, 504, 220, 16, 69787, 13, 20517, 279, 1590, 8123, 24367, 553, 279, 6819, 421, 279, 8628, 41001, 2337, 279, ...
[ 28, 56, 84, 112, 140, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 28, 56, 84, 112, 140, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, ...
[ 9, 18, 27 ]
20
509
4
answer_trajectory
What does the model currently think the answer is?
C
D. Wait, the options are given as:
uncertain
[ 151644, 872, 198, 55, 323, 809, 525, 25780, 11, 1599, 374, 1496, 323, 8225, 11, 809, 374, 10322, 323, 6785, 13, 15920, 315, 279, 2701, 1410, 387, 895, 5267, 16, 13, 320, 56, 488, 1599, 8, 374, 458, 10322, 1372, 624, 17, 13, 809, ...
[ 17, 35, 53, 70, 88, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201, 17, 35, 53, 70, 88, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186,...
[ 9, 18, 27 ]
199
222
90
answer_trajectory
What does the model currently think the answer is?
B
B)180. But let me check once again with numbers
B. 180
[ 151644, 872, 198, 32, 5426, 49435, 264, 5339, 315, 220, 16, 17, 15, 296, 304, 220, 16, 20, 5701, 11, 1852, 5426, 49435, 2441, 5339, 315, 3084, 220, 16, 23, 15, 296, 304, 220, 16, 23, 5701, 13, 1221, 1477, 279, 3084, 315, 279, 54...
[ 14, 28, 43, 57, 71, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 14, 28, 43, 57, 71, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171...
[ 9, 18, 27 ]
124
150
83
answer_trajectory
What does the model currently think the answer is?
D
going to depend on how we arrange the numbers so that the third one is maximized, while keeping the total sum at 1850 and all numbers less than 2000
uncertain
[ 151644, 872, 198, 785, 5461, 315, 264, 738, 315, 4236, 12460, 25780, 374, 220, 18, 22, 15, 13, 1416, 1817, 1372, 374, 2686, 1091, 220, 17, 11, 15, 15, 15, 11, 323, 279, 22553, 315, 279, 738, 374, 279, 12196, 3204, 897, 11, 1128, ...
[ 17, 35, 53, 71, 89, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 17, 35, 53, 71, 89, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187,...
[ 9, 18, 27 ]
11
296
4
answer_trajectory
What does the model currently think the answer is?
D
D
D
[ 151644, 872, 198, 2679, 264, 25, 293, 3504, 220, 18, 549, 220, 22, 11, 1221, 1128, 374, 320, 20, 64, 10, 21, 65, 1648, 320, 64, 12, 19, 65, 73530, 32, 8, 20, 22, 25, 16, 16, 198, 33, 7287, 20, 22, 25, 16, 16, 198, 34, 8, ...
[ 13, 27, 41, 54, 68, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 13, 27, 41, 54, 68, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, ...
[ 9, 18, 27 ]
153
247
62
answer_trajectory
What does the model currently think the answer is?
25200
either 25,200 or 128,400. Which is correct?
uncertain
[ 151644, 872, 198, 32, 38061, 261, 702, 220, 18, 19, 15, 1968, 315, 35852, 13, 1260, 572, 911, 311, 4559, 1105, 678, 369, 400, 17, 15, 19, 11, 15, 15, 15, 979, 220, 16, 22, 17, 315, 1105, 11052, 14036, 323, 8469, 13, 9211, 315, ...
[ 18, 36, 54, 72, 90, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 18, 36, 54, 72, 90, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189,...
[ 9, 18, 27 ]
152
300
51
answer_trajectory
What does the model currently think the answer is?
10
10 beads removed from each part. But let me think again
uncertain
[ 151644, 872, 198, 32, 3908, 3743, 66707, 220, 17, 18, 6303, 54208, 323, 220, 16, 21, 13753, 54208, 1119, 264, 19212, 13, 2932, 64828, 279, 2790, 1119, 220, 18, 6144, 5479, 11, 28160, 1045, 54208, 504, 1817, 949, 11, 323, 39296, 279, ...
[ 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157,...
[ 9, 18, 27 ]
39
252
15
answer_trajectory
What does the model currently think the answer is?
A
A. But wait, let me check the options again. Wait, the answer options are given as:
uncertain
[ 151644, 872, 198, 11613, 31175, 1599, 323, 809, 646, 25156, 5155, 264, 272, 380, 932, 304, 220, 16, 23, 323, 220, 17, 19, 4115, 15576, 13, 1416, 807, 525, 6519, 389, 6919, 2652, 369, 825, 6460, 1817, 11, 1246, 1293, 686, 432, 1896, ...
[ 18, 36, 55, 73, 91, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 18, 36, 55, 73, 91, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190,...
[ 9, 18, 27 ]
52
429
12
answer_trajectory
What does the model currently think the answer is?
B
more than $2. So, total is more than $40 + $2 = $42
42
[ 151644, 872, 198, 32, 10729, 15145, 2783, 400, 19, 15, 323, 1052, 572, 902, 3742, 13, 1416, 279, 11552, 572, 803, 1091, 220, 20, 3266, 714, 2686, 1091, 220, 16, 20, 3266, 315, 279, 2783, 315, 279, 15145, 11, 1221, 2790, 3311, 7171, ...
[ 17, 34, 51, 68, 85, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 17, 34, 51, 68, 85, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183,...
[ 9, 18, 27 ]
177
371
47
answer_trajectory
What does the model currently think the answer is?
A
that the frequency of benzene is 600 MHz + (128.4 ppm × 600 MHz / 10^6). Wait, but that would be 600 MHz + (128
uncertain
[ 151644, 872, 198, 785, 220, 16, 18, 34, 11483, 28635, 315, 70946, 1952, 323, 36733, 78, 627, 525, 220, 16, 17, 23, 13, 19, 63597, 323, 220, 22, 22, 13, 17, 63597, 15576, 13, 3555, 374, 279, 6672, 304, 279, 220, 16, 18, 34, 451, ...
[ 26, 53, 80, 106, 133, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 26, 53, 80, 106, 133, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, ...
[ 9, 18, 27 ]
137
213
64
answer_trajectory
What does the model currently think the answer is?
F
C
C
[ 151644, 872, 198, 22753, 23741, 525, 16626, 21091, 553, 15387, 4092, 311, 11059, 4512, 553, 279, 3693, 17235, 22520, 10024, 13, 3555, 525, 1045, 62736, 315, 419, 23850, 1849, 1939, 32, 8, 576, 23850, 1849, 374, 6049, 2238, 13814, 11, 14...
[ 32, 64, 97, 129, 161, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 244, 249, 254, 259, 264, 269, 274, 279, 284, 289, 32, 64, 97, 129, 161, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 244, 249, 254, 259, 264, 269, ...
[ 9, 18, 27 ]
15
127
12
answer_trajectory
What does the model currently think the answer is?
B
1,974,000. To round to the nearest 10,000, we need to look at the digit in the thousands place. Because 10,000 is one place higher than
1,970,000
[ 151644, 872, 198, 32, 3654, 3233, 13963, 6088, 220, 21, 4, 16745, 11474, 304, 220, 17, 15, 15, 22, 1091, 304, 220, 17, 15, 15, 21, 13, 1416, 279, 13963, 6088, 220, 17, 13, 16, 3526, 11474, 304, 220, 17, 15, 15, 21, 11, 1246, 1...
[ 22, 45, 68, 91, 114, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 22, 45, 68, 91, 114, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 212, 21...
[ 9, 18, 27 ]
57
462
12
answer_trajectory
What does the model currently think the answer is?
A
3. But again, not an option
uncertain
[ 151644, 872, 198, 85283, 11, 9354, 50426, 13509, 1184, 311, 387, 46313, 304, 220, 18, 19516, 25904, 304, 7678, 1555, 773, 429, 29933, 374, 46313, 2677, 2115, 311, 9354, 13, 2585, 1657, 1741, 27804, 525, 3204, 23754, 32, 8, 32, 8, 21, ...
[ 13, 27, 41, 55, 69, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 13, 27, 41, 55, 69, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, ...
[ 9, 18, 27 ]
407
651
62
answer_trajectory
What does the model currently think the answer is?
B
either B)4 or D)6, depending on the interpretation
D
[ 151644, 872, 198, 64, 2906, 702, 220, 21, 70708, 220, 20, 21321, 323, 220, 20, 29803, 13336, 1817, 11079, 646, 4538, 220, 19, 14878, 1932, 1128, 374, 566, 8028, 1372, 315, 13336, 2567, 271, 32, 8, 17, 198, 33, 8, 19, 198, 34, 8, ...
[ 10, 21, 32, 42, 53, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 10, 21, 32, 42, 53, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, ...
[ 9, 18, 27 ]
203
391
52
answer_trajectory
What does the model currently think the answer is?
E
not integer
uncertain
[ 151644, 872, 198, 2461, 6785, 25780, 296, 323, 308, 11, 892, 315, 279, 2701, 646, 387, 5326, 438, 308, 61, 17, 1939, 32, 46607, 10, 17, 198, 33, 46607, 10, 18, 198, 34, 46607, 10, 16, 198, 35, 46607, 10, 19, 198, 36, 46607, 12, ...
[ 9, 19, 28, 38, 47, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 9, 19, 28, 38, 47, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152...
[ 9, 18, 27 ]
311
430
72
answer_trajectory
What does the model currently think the answer is?
C
559981, but the '98' is wrong. So, maybe the digits 9 and 8 are incorrect. But how to figure out which digits?
uncertain
[ 151644, 872, 198, 32, 8171, 54916, 220, 24, 23, 22, 553, 264, 3654, 1372, 323, 12180, 220, 20, 20, 24, 24, 23, 16, 438, 806, 4226, 13, 1416, 304, 279, 4226, 2176, 220, 24, 23, 525, 4969, 323, 1008, 18509, 525, 4396, 11, 1221, 27...
[ 17, 35, 52, 70, 87, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 17, 35, 52, 70, 87, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185,...
[ 9, 18, 27 ]
82
438
18
answer_trajectory
What does the model currently think the answer is?
B
13.33 seconds
13.33
[ 151644, 872, 198, 11613, 27688, 315, 6144, 28316, 1896, 220, 16, 17, 5701, 323, 220, 16, 20, 5701, 15576, 311, 5312, 264, 7963, 4439, 1736, 13, 1416, 279, 3084, 315, 1817, 5426, 387, 220, 16, 17, 15, 296, 11, 304, 1128, 882, 686, ...
[ 14, 28, 43, 57, 71, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 14, 28, 43, 57, 71, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171...
[ 9, 18, 27 ]
300
394
76
answer_trajectory
What does the model currently think the answer is?
E
E
E
[ 151644, 872, 198, 7941, 572, 69618, 2718, 323, 87242, 11, 806, 1969, 1777, 94260, 1608, 1128, 369, 1059, 1939, 32, 8, 15888, 30414, 198, 33, 8, 15289, 198, 34, 8, 3709, 12035, 198, 35, 8, 35132, 198, 36, 8, 7244, 32364, 271, 16141, ...
[ 8, 17, 26, 34, 43, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 8, 17, 26, 34, 43, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, ...
[ 9, 18, 27 ]
22
54
42
answer_trajectory
What does the model currently think the answer is?
A
A) 160 km. Wait, no, I need to think through it properly. Let me read the problem again
uncertain
[ 151644, 872, 198, 32, 323, 425, 1191, 504, 3753, 518, 220, 16, 15, 309, 13, 2379, 5821, 389, 279, 51192, 5636, 518, 220, 17, 15, 16017, 759, 323, 220, 19, 15, 13136, 759, 13, 1052, 374, 264, 67956, 350, 389, 862, 1815, 13, 362, ...
[ 23, 46, 69, 92, 115, 138, 143, 148, 153, 158, 163, 168, 173, 174, 23, 46, 69, 92, 115, 138, 143, 148, 153, 158, 163, 168, 173, 174, 23, 46, 69, 92, 115, 138, 143, 148, 153, 158, 163, 168, 173, 174 ]
[ 9, 18, 27 ]
2
289
1
answer_trajectory
What does the model currently think the answer is?
C
sqrt(144/169) = 12/13. So DE/BC = 12/13. Therefore, BC = DE * (13/12). Since DE is given as 1
13/12
[ 151644, 872, 198, 35, 323, 468, 525, 1378, 3501, 15576, 389, 11067, 14137, 323, 10584, 315, 21495, 19360, 1741, 429, 3385, 374, 15279, 311, 18040, 13, 1416, 279, 11341, 315, 3082, 315, 21495, 362, 1150, 311, 429, 315, 279, 489, 2027, ...
[ 16, 33, 50, 67, 84, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 16, 33, 50, 67, 84, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181,...
[ 9, 18, 27 ]
20
432
4
answer_trajectory
What does the model currently think the answer is?
C
likely option C or F. Given the time I've spent and the confusion, I'll go with option C, which has the total recombination between f and Kn as 38.1%, which is close to the calculated 38
C. 38.1%
[ 151644, 872, 198, 22043, 279, 2701, 1273, 28842, 821, 369, 13776, 304, 892, 279, 20727, 1958, 6915, 45542, 320, 69, 701, 39807, 59947, 603, 1883, 89, 8, 323, 1148, 15521, 15933, 16738, 77, 8, 525, 6398, 25, 68783, 4156, 5624, 13620, 4...
[ 138, 276, 414, 552, 690, 828, 833, 838, 843, 848, 853, 858, 863, 868, 873, 878, 883, 888, 893, 898, 903, 908, 913, 918, 923, 138, 276, 414, 552, 690, 828, 833, 838, 843, 848, 853, 858, 863, 868, 873, 878, 883, 888, 893, 898, 9...
[ 9, 18, 27 ]
617
662
93
answer_trajectory
What does the model currently think the answer is?
B. I and II only
no. Therefore, 8 is not necessarily a divisor of xy. Therefore, option I is not necessarily true. Wait, but hold on, maybe there are cases where it is. But the question says "must be a multiple of which of the
uncertain
[ 151644, 872, 198, 2679, 279, 6785, 7546, 856, 374, 264, 5248, 315, 220, 19, 323, 279, 6785, 7546, 379, 374, 264, 5248, 315, 220, 20, 11, 1221, 30784, 1969, 387, 264, 5248, 315, 892, 315, 279, 2701, 5267, 40, 13, 220, 23, 198, 5543...
[ 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, ...
[ 9, 18, 27 ]
43
663
6
answer_trajectory
What does the model currently think the answer is?
B. 50,000
approximately 1.55 - (Δx)/(2*1.55)
uncertain
[ 151644, 872, 198, 144336, 96065, 17, 13, 19, 2376, 16, 15, 61, 24, 9139, 374, 18093, 311, 892, 315, 279, 2701, 1939, 32, 8, 18, 20, 11, 15, 15, 15, 198, 33, 8, 20, 15, 11, 15, 15, 15, 198, 34, 8, 22, 20, 11, 15, 15, 15, ...
[ 13, 26, 39, 52, 65, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 13, 26, 39, 52, 65, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, ...
[ 9, 18, 27 ]
126
283
44
answer_trajectory
What does the model currently think the answer is?
B. 2/5
between 0.333... (1/3) and 0.4 (2/5). But the options given are A) 5/12 ≈ 0.4167, B) 2/
A
[ 151644, 872, 198, 32, 26931, 5517, 448, 23033, 220, 17, 15, 14924, 374, 9099, 389, 264, 9334, 88471, 11, 1817, 315, 6693, 11067, 374, 220, 18, 15, 14924, 1293, 13, 15920, 315, 279, 2701, 374, 18093, 311, 279, 19419, 315, 279, 88471, ...
[ 14, 29, 44, 58, 73, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 14, 29, 44, 58, 73, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173...
[ 9, 18, 27 ]
79
369
21
answer_trajectory
What does the model currently think the answer is?
D
D
D
[ 151644, 872, 198, 24732, 323, 28708, 525, 4303, 389, 279, 1852, 5636, 6974, 1817, 1008, 13, 1416, 8364, 374, 4303, 518, 264, 4628, 315, 220, 17, 13, 20, 20044, 817, 2086, 323, 28708, 374, 4303, 220, 18, 21, 4, 28393, 11, 1246, 1753,...
[ 19, 39, 59, 78, 98, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 19, 39, 59, 78, 98, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198,...
[ 9, 18, 27 ]
348
365
95
answer_trajectory
What does the model currently think the answer is?
E
E)10000
E. 10000
[ 151644, 872, 198, 24, 20, 19, 23, 488, 220, 22, 18, 16, 19, 284, 220, 21, 18, 21, 17, 488, 44959, 692, 32, 8, 23, 18, 15, 15, 198, 33, 8, 23, 19, 15, 15, 198, 34, 8, 23, 20, 15, 15, 198, 35, 8, 23, 22, 15, 15, 198, 3...
[ 11, 22, 34, 45, 56, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 11, 22, 34, 45, 56, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158,...
[ 9, 18, 27 ]
428
494
86
answer_trajectory
What does the model currently think the answer is?
D
either B or D
D
[ 151644, 872, 198, 13079, 1030, 264, 6038, 714, 566, 738, 432, 15663, 13, 220, 1084, 5710, 944, 10950, 13, 220, 1260, 4362, 311, 1936, 264, 3940, 13, 220, 8429, 1521, 566, 1184, 264, 3940, 1939, 32, 8, 9901, 198, 33, 8, 8205, 6078, ...
[ 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157,...
[ 9, 18, 27 ]
26
95
28
answer_trajectory
What does the model currently think the answer is?
B
12,000 meters divided by 600 seconds. Let me do that division again. 12,000 divided by 600. Dividing numerator and denominator by 100, that's
120 divided by 6
[ 151644, 872, 198, 32, 5426, 14521, 264, 6010, 315, 220, 16, 17, 13136, 304, 220, 16, 15, 1308, 13, 1416, 432, 4990, 220, 21, 5701, 311, 1494, 264, 7963, 4439, 1736, 11, 1221, 279, 3084, 315, 279, 5426, 374, 1939, 32, 8, 24, 24, ...
[ 13, 26, 39, 52, 65, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 13, 26, 39, 52, 65, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, ...
[ 9, 18, 27 ]
22
100
23
answer_trajectory
What does the model currently think the answer is?
I
13.2 M? But none of the options is 13.2. The options are:
uncertain
[ 151644, 872, 198, 35, 24308, 1105, 72527, 1055, 264, 220, 19, 15, 13, 15, 4, 6291, 315, 39, 5066, 8206, 702, 264, 17457, 315, 220, 16, 13, 17, 15, 342, 59548, 382, 32, 8, 220, 16, 19, 13, 16, 20, 386, 198, 33, 8, 220, 16, 21...
[ 23, 47, 70, 94, 117, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201, 206, 211, 216, 221, 226, 231, 236, 23, 47, 70, 94, 117, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201, 206, 211, 216, 22...
[ 9, 18, 27 ]
208
347
60
answer_trajectory
What does the model currently think the answer is?
B. 16.8
not among the options, but since I have to choose, maybe there's a mistake in the problem. However, if I consider that the second train is stationary, then the time is 270 / (60 * 5/1
uncertain
[ 151644, 872, 198, 4340, 1293, 1558, 264, 5426, 220, 16, 15, 15, 296, 1293, 20971, 518, 220, 21, 15, 13136, 759, 4990, 311, 5312, 2441, 5426, 315, 220, 16, 22, 15, 296, 304, 3084, 702, 264, 4628, 315, 220, 19, 15, 13136, 759, 1939,...
[ 15, 30, 45, 60, 75, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 15, 30, 45, 60, 75, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 1...
[ 9, 18, 27 ]
368
399
92
answer_trajectory
What does the model currently think the answer is?
B
that the given ΔHf° values for H(g) and O(g) are the enthalpies required to produce those atoms from their diatomic molecules. So, for example, ΔHf° for H(g) is 52
52
[ 151644, 872, 198, 785, 6769, 16, 1044, 763, 14346, 48869, 315, 279, 32199, 57960, 91550, 90, 39, 31716, 323, 57960, 91550, 90, 46, 31716, 525, 400, 12, 16, 16, 13, 18, 24, 21, 1124, 91550, 90, 68, 53, 31716, 323, 400, 12, 18, 16, ...
[ 64, 129, 194, 258, 323, 388, 393, 398, 403, 408, 413, 418, 423, 428, 433, 438, 443, 448, 453, 458, 463, 468, 473, 478, 483, 64, 129, 194, 258, 323, 388, 393, 398, 403, 408, 413, 418, 423, 428, 433, 438, 443, 448, 453, 458, 463...
[ 9, 18, 27 ]
38
323
12
answer_trajectory
What does the model currently think the answer is?
B
to find the minimal P such that P > 0.5*(P + C + A), and then compute the percentage decrease from the original P (which was 50 in the case of total nuts 75). But the problem is
uncertain
[ 151644, 872, 198, 32, 8849, 6514, 2813, 13598, 7049, 1495, 553, 50197, 279, 89077, 25, 41271, 27744, 25, 278, 54620, 11341, 315, 220, 16, 15, 25, 19, 25, 16, 304, 1817, 8968, 315, 705, 311, 220, 22, 20, 2790, 29949, 13, 3555, 374, ...
[ 17, 35, 53, 71, 89, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 17, 35, 53, 71, 89, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187,...
[ 9, 18, 27 ]
153
556
27
answer_trajectory
What does the model currently think the answer is?
B
C)7298. Wait, but let me check this pattern
C. 7298
[ 151644, 872, 198, 23107, 576, 67498, 3187, 4389, 21193, 3085, 39970, 5624, 17607, 17, 314, 18, 23, 92, 220, 18, 198, 19, 314, 16, 20, 17, 19, 92, 220, 20, 198, 21, 314, 18, 20, 19, 23, 92, 220, 22, 198, 23, 314, 430, 92, 220, ...
[ 15, 31, 46, 62, 77, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 15, 31, 46, 62, 77, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 1...
[ 9, 18, 27 ]
378
440
86
answer_trajectory
What does the model currently think the answer is?
D. Data not sufficient
D) Data not sufficient? But that seems odd. Wait, but maybe there is a way to find Shiny's speed?
D
[ 151644, 872, 198, 641, 264, 220, 16, 20, 15, 15, 296, 6957, 547, 15247, 33327, 1417, 6441, 553, 220, 20, 15, 296, 13, 758, 279, 1852, 6957, 11, 553, 1128, 882, 4745, 1417, 6441, 9382, 63694, 879, 8473, 518, 220, 19, 296, 2687, 237...
[ 14, 28, 42, 56, 70, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 14, 28, 42, 56, 70, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170...
[ 9, 18, 27 ]
85
568
15
answer_trajectory
What does the model currently think the answer is?
E
not about the population being sqrt(a² +b²), but that the population is calculated as that formula, and the men are reduced by 6% each year. Wait, but the problem says "in next year population will be P=(a
uncertain
[ 151644, 872, 198, 641, 264, 14126, 1052, 525, 220, 16, 20, 15, 2953, 323, 220, 24, 15, 3198, 304, 3042, 882, 35431, 304, 1790, 1042, 7042, 686, 387, 393, 4539, 64, 61, 17, 488, 65, 61, 17, 29776, 16, 14, 17, 1154, 323, 304, 1449...
[ 16, 33, 50, 67, 84, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 16, 33, 50, 67, 84, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181,...
[ 9, 18, 27 ]
91
598
15
answer_trajectory
What does the model currently think the answer is?
C
C, D, E. But since the user is asking for one letter, maybe there is a mistake in the problem or in my analysis. Alternatively, maybe the original problem had different numbers. Wait, let me check again
uncertain
[ 151644, 872, 198, 2461, 6785, 25780, 856, 323, 1147, 11, 892, 315, 279, 2701, 646, 387, 5326, 438, 1147, 61, 17, 1939, 32, 50724, 61, 17, 10, 16, 198, 33, 50724, 61, 17, 12, 16, 198, 34, 50724, 61, 17, 12, 17, 19, 198, 35, 507...
[ 11, 23, 35, 46, 58, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 11, 23, 35, 46, 58, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 16...
[ 9, 18, 27 ]
295
491
60
answer_trajectory
What does the model currently think the answer is?
A
likely C) fun
C
[ 151644, 872, 198, 3838, 1558, 825, 653, 979, 807, 1486, 3868, 1939, 32, 8, 1430, 311, 3164, 198, 33, 8, 3960, 198, 34, 8, 2464, 198, 35, 8, 15254, 198, 36, 8, 2506, 5456, 271, 16141, 448, 279, 6524, 13, 151645, 198, 151644, 77091,...
[ 7, 15, 22, 30, 37, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 7, 15, 22, 30, 37, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, ...
[ 9, 18, 27 ]
24
41
60
answer_trajectory
What does the model currently think the answer is?
B
B
B
[ 151644, 872, 198, 2679, 279, 5461, 320, 277, 25922, 3076, 8, 315, 220, 20, 6785, 19879, 374, 296, 12348, 68723, 11, 1221, 279, 2629, 315, 279, 220, 18, 12196, 315, 1493, 19879, 11, 304, 12348, 68723, 11, 1410, 387, 1447, 32, 8, 21, ...
[ 13, 27, 40, 54, 67, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 13, 27, 40, 54, 67, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, ...
[ 9, 18, 27 ]
376
381
98
answer_trajectory
What does the model currently think the answer is?
B
35 and 48, concatenated as 3548, which matches the third row. So this seems to be the pattern!
3548
[ 151644, 872, 198, 23107, 576, 67498, 3187, 4389, 21193, 3085, 39970, 5624, 17607, 17, 314, 18, 23, 92, 220, 18, 198, 19, 314, 16, 20, 17, 19, 92, 220, 20, 198, 21, 314, 18, 20, 19, 23, 92, 220, 22, 198, 23, 314, 430, 92, 220, ...
[ 15, 31, 46, 62, 77, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 15, 31, 46, 62, 77, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 1...
[ 9, 18, 27 ]
410
440
93
answer_trajectory
What does the model currently think the answer is?
3
3
3
[ 151644, 872, 198, 57734, 702, 400, 23, 22, 13, 1260, 3880, 311, 3695, 1045, 17163, 11, 892, 7049, 400, 22, 264, 30023, 323, 264, 30023, 315, 24317, 429, 7049, 400, 20, 264, 30023, 13, 4636, 11833, 279, 24317, 323, 806, 17163, 11, 56...
[ 10, 21, 31, 42, 52, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 10, 21, 31, 42, 52, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, ...
[ 9, 18, 27 ]
71
134
53
answer_trajectory
What does the model currently think the answer is?
C
approximately 5.17 seconds, which is closest to 5 seconds
5
[ 151644, 872, 198, 641, 1128, 882, 686, 264, 39006, 5426, 220, 20, 21, 296, 1293, 7218, 518, 279, 4379, 315, 220, 18, 24, 13136, 759, 1494, 264, 7963, 4439, 1736, 389, 1181, 1616, 1939, 32, 8, 18, 5701, 198, 33, 8, 19, 5701, 198, ...
[ 11, 23, 34, 46, 57, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 11, 23, 34, 46, 57, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159,...
[ 9, 18, 27 ]
152
355
43
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