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?
B. 480
B)480
B. 480
[ 151644, 872, 198, 80185, 2997, 3613, 25, 220, 20, 49751, 320, 18, 20208, 323, 220, 17, 29293, 8, 323, 862, 220, 17, 55335, 525, 311, 387, 46313, 2163, 264, 26931, 1965, 13, 2585, 1657, 2155, 37299, 27804, 525, 3204, 773, 429, 220, 1...
[ 16, 32, 48, 64, 80, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 16, 32, 48, 64, 80, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, ...
[ 9, 18, 27 ]
719
914
78
answer_trajectory
What does the model currently think the answer is?
5
how many chores does he need to average a month to save up for his supplies?"
uncertain
[ 151644, 872, 198, 38, 24380, 37102, 400, 16, 15, 15, 264, 2254, 389, 19507, 16720, 13, 5301, 3200, 374, 220, 19, 3951, 1293, 13, 1260, 6801, 311, 990, 279, 3951, 566, 594, 537, 5619, 19507, 311, 3581, 705, 553, 435, 1765, 11, 557, ...
[ 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 ]
114
183
62
answer_trajectory
What does the model currently think the answer is?
A
u = 0.4 * (1/8000) = 0.4 / 8000 = 0.00005 = 5 × 10^-5. But that's option E
5 × 10^-5
[ 151644, 872, 198, 32, 24456, 17567, 702, 264, 17042, 315, 220, 15, 13, 21, 13, 576, 11639, 304, 264, 7042, 315, 419, 17567, 374, 220, 16, 304, 220, 23, 11, 15, 15, 15, 13, 3555, 374, 279, 26374, 4379, 1939, 32, 8, 220, 17, 13, ...
[ 30, 60, 90, 120, 150, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 30, 60, 90, 120, 150, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, ...
[ 9, 18, 27 ]
134
298
45
answer_trajectory
What does the model currently think the answer is?
B
B)10. So that's correct
B. 10
[ 151644, 872, 198, 36634, 374, 10917, 438, 2310, 438, 48143, 11, 879, 11, 3040, 1635, 4134, 11, 572, 2326, 3039, 438, 2310, 438, 29201, 13, 1416, 11, 4236, 1635, 504, 1431, 11, 279, 2629, 431, 315, 862, 16639, 686, 387, 220, 20, 16, ...
[ 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 ]
107
131
82
answer_trajectory
What does the model currently think the answer is?
H
H
uncertain
[ 151644, 872, 198, 641, 13779, 37104, 11, 3691, 2487, 1894, 320, 65, 8, 374, 46762, 533, 311, 279, 4622, 8380, 10604, 2487, 1894, 320, 65, 61, 10, 568, 356, 6130, 94560, 7912, 320, 14271, 8, 374, 46762, 533, 311, 279, 4622, 8380, 106...
[ 39, 78, 117, 156, 195, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 39, 78, 117, 156, 195, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, ...
[ 9, 18, 27 ]
162
223
73
answer_trajectory
What does the model currently think the answer is?
4
4 slices per person
4 slices per person
[ 151644, 872, 198, 13079, 448, 806, 4236, 4780, 11457, 220, 18, 87770, 13, 8886, 22502, 1030, 220, 23, 34254, 13, 1416, 807, 678, 8060, 323, 29812, 279, 1852, 3311, 315, 87770, 11, 1246, 1657, 34254, 1521, 1817, 1697, 8180, 30, 151645, ...
[ 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 ]
27
38
73
answer_trajectory
What does the model currently think the answer is?
170
$170
170
[ 151644, 872, 198, 35054, 811, 6801, 311, 8683, 55526, 39910, 438, 458, 29068, 3135, 13, 220, 1260, 6649, 389, 220, 20, 55526, 817, 8640, 323, 686, 614, 220, 19, 15, 14709, 13, 220, 1416, 279, 55526, 7049, 400, 16, 22, 13, 15, 15, ...
[ 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 ]
54
58
94
answer_trajectory
What does the model currently think the answer is?
D
A = (3/4)*(1/2)D = (3/8)D. Therefore, A/D = 3/8. Therefore, A:D is 3:8. Which is option E. So, that seems to
E. 3:8
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[ 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 ]
75
256
29
answer_trajectory
What does the model currently think the answer is?
B
not among the options? But that can't be. The problem must have an answer among the options. So maybe I made a mistake in the calculation?
uncertain
[ 151644, 872, 198, 2679, 320, 17, 15, 8, 29456, 374, 32256, 291, 504, 279, 9334, 315, 264, 1372, 11, 279, 4226, 773, 12180, 374, 220, 19, 18, 17, 16, 13, 3555, 374, 279, 1372, 1939, 32, 8, 21, 23, 198, 33, 8, 21, 24, 198, 34, ...
[ 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 ]
242
626
38
answer_trajectory
What does the model currently think the answer is?
31
31. Wait, but let me check again. Maybe I made a mistake in the first step? Let me go through once more
uncertain
[ 151644, 872, 198, 68304, 2210, 374, 220, 19, 1635, 9014, 1091, 22467, 374, 1431, 13, 758, 220, 20, 1635, 11, 23080, 2210, 686, 387, 220, 19, 15, 1635, 2310, 13, 20517, 279, 4231, 315, 22467, 5023, 13, 151645, 198, 151644, 77091, 198, ...
[ 7, 14, 21, 28, 35, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 7, 14, 21, 28, 35, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 7,...
[ 9, 18, 27 ]
39
71
56
answer_trajectory
What does the model currently think the answer is?
D
D) Rs.70,000. But wait, the options given are:
D
[ 151644, 872, 198, 32, 812, 3855, 264, 2562, 24965, 19215, 13, 220, 17, 20, 11, 15, 15, 15, 304, 220, 17, 15, 16, 15, 11, 758, 220, 17, 15, 16, 16, 11, 566, 27991, 458, 5107, 3311, 315, 19215, 13, 220, 16, 15, 11, 15, 15, 15,...
[ 34, 69, 104, 139, 174, 209, 214, 219, 224, 229, 234, 239, 244, 249, 254, 259, 264, 269, 274, 279, 284, 289, 294, 299, 304, 34, 69, 104, 139, 174, 209, 214, 219, 224, 229, 234, 239, 244, 249, 254, 259, 264, 269, 274, 279, 284, ...
[ 9, 18, 27 ]
93
217
43
answer_trajectory
What does the model currently think the answer is?
D
not circular. Let me think again
uncertain
[ 151644, 872, 198, 1655, 264, 9816, 1965, 11, 220, 23, 8256, 9567, 2163, 264, 1965, 13, 3776, 315, 279, 8256, 374, 279, 6645, 323, 566, 23011, 518, 279, 1968, 315, 279, 1965, 13, 9043, 315, 279, 8256, 2444, 389, 2987, 3108, 315, 279,...
[ 17, 34, 52, 69, 86, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 17, 34, 52, 69, 86, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184,...
[ 9, 18, 27 ]
41
226
18
answer_trajectory
What does the model currently think the answer is?
A
A) 66.67
A. 66.67
[ 151644, 872, 198, 785, 3349, 315, 264, 26208, 374, 11046, 553, 220, 17, 20, 14360, 11954, 264, 3281, 6278, 279, 3349, 315, 279, 26208, 374, 11046, 2441, 220, 17, 15, 14360, 3216, 13187, 1128, 3266, 1969, 279, 3349, 315, 279, 26208, 14...
[ 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 ]
58
277
21
answer_trajectory
What does the model currently think the answer is?
B
given as that expression, and we need to find the γ that maximizes this factor
uncertain
[ 151644, 872, 198, 37175, 264, 8282, 315, 279, 1352, 4930, 59, 32214, 11, 220, 15, 11, 220, 15, 15087, 369, 279, 9162, 13284, 13, 6928, 429, 279, 8084, 8168, 84192, 697, 3220, 1283, 400, 77, 3, 7354, 374, 4363, 311, 387, 4930, 16, ...
[ 27, 55, 83, 110, 138, 166, 171, 176, 181, 186, 191, 196, 201, 206, 211, 216, 221, 226, 231, 236, 241, 246, 251, 256, 261, 27, 55, 83, 110, 138, 166, 171, 176, 181, 186, 191, 196, 201, 206, 211, 216, 221, 226, 231, 236, 241, ...
[ 9, 18, 27 ]
49
232
21
answer_trajectory
What does the model currently think the answer is?
C. 1/3
definitely C) 1/3
C. 1/3
[ 151644, 872, 198, 32, 26931, 5517, 448, 23033, 220, 16, 21, 14924, 374, 9099, 389, 264, 9334, 88471, 11, 1817, 315, 6693, 11067, 374, 220, 17, 19, 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 ]
354
357
99
answer_trajectory
What does the model currently think the answer is?
E
all of them? But that's not possible. Wait, maybe the original question is different. Let me check again
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 ]
153
430
35
answer_trajectory
What does the model currently think the answer is?
81
1.5 kg/month * 12 months. Let me compute that
18
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[ 7, 15, 23, 30, 38, 46, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 7, 15, 23, 30, 38, 46, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, ...
[ 9, 18, 27 ]
8
85
10
answer_trajectory
What does the model currently think the answer is?
D
D)32/5. So, I think that's correct. Let me check once more with another method. Let me use algebra
D. 32/5
[ 151644, 872, 198, 2679, 220, 16, 61447, 16819, 220, 19, 259, 19252, 323, 220, 20, 259, 19252, 6144, 220, 23, 311, 4837, 11, 1128, 374, 279, 11341, 315, 825, 61447, 311, 825, 54861, 1939, 32, 8, 16, 20, 14, 17, 198, 33, 8, 21, 14...
[ 12, 25, 38, 51, 64, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 12, 25, 38, 51, 64, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, ...
[ 9, 18, 27 ]
80
244
33
answer_trajectory
What does the model currently think the answer is?
B
that the mother was 30 when the brother was born, so when Ayesha was born, the mother was 30 + 4 = 34 years old. Therefore, the mother was 34 when Ayesha was
34
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[ 13, 26, 40, 53, 66, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 13, 26, 40, 53, 66, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, ...
[ 9, 18, 27 ]
31
158
20
answer_trajectory
What does the model currently think the answer is?
B
either A or B, depending on the arrest's legality
uncertain
[ 151644, 872, 198, 32, 1584, 34686, 5707, 25, 330, 64261, 264, 1697, 8788, 476, 1265, 1414, 429, 566, 320, 269, 1340, 8, 374, 1660, 12517, 553, 264, 4282, 9452, 11, 432, 374, 279, 14189, 315, 1741, 1697, 311, 57508, 504, 1667, 5344, ...
[ 52, 105, 158, 211, 264, 317, 322, 327, 332, 337, 342, 347, 352, 357, 362, 367, 372, 377, 382, 387, 392, 397, 402, 407, 412, 52, 105, 158, 211, 264, 317, 322, 327, 332, 337, 342, 347, 352, 357, 362, 367, 372, 377, 382, 387, 392...
[ 9, 18, 27 ]
88
485
18
answer_trajectory
What does the model currently think the answer is?
D
probably D) ask questions. But wait, sometimes people might think C is also a good option. But in a classroom setting, asking questions is more direct. So I think D is the best answer
D
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[ 9, 18, 27 ]
10
50
22
answer_trajectory
What does the model currently think the answer is?
D. 48
B) 80. Wait, let me check again
B. 80
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[ 9, 18, 27 ]
5
87
6
answer_trajectory
What does the model currently think the answer is?
A
D) trapeze. But I'm not sure. Alternatively, maybe the answer is A) NASA
D
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[ 9, 18, 27, 36, 45, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 9, 18, 27, 36, 45, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150...
[ 9, 18, 27 ]
61
74
83
answer_trajectory
What does the model currently think the answer is?
G
about whether Congress can regulate the state's tax on a resource that is part of interstate commerce
uncertain
[ 151644, 872, 198, 32, 1584, 374, 279, 1172, 1584, 429, 87281, 264, 3742, 389, 279, 32189, 315, 9649, 2024, 10938, 13, 1096, 3691, 57722, 24136, 17167, 315, 10951, 4335, 276, 15856, 323, 5610, 8862, 2356, 11, 892, 374, 279, 10178, 16144,...
[ 70, 140, 210, 280, 350, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 70, 140, 210, 280, 350, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495...
[ 9, 18, 27 ]
43
332
13
answer_trajectory
What does the model currently think the answer is?
E
E)2880. But I don't see the connection. Wait, maybe the question is asking about the number of minutes in a right angle in radians? No, that doesn't make sense
uncertain
[ 151644, 872, 198, 4340, 1657, 4420, 525, 1052, 304, 1378, 1290, 25941, 1939, 32, 8, 17, 16, 198, 33, 8, 17, 17, 198, 34, 8, 16, 22, 198, 35, 8, 17, 23, 23, 23, 198, 36, 8, 17, 23, 23, 15, 271, 16141, 448, 279, 6524, 13, 15...
[ 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 ]
426
533
80
answer_trajectory
What does the model currently think the answer is?
E
impossible. So that's not the case
uncertain
[ 151644, 872, 198, 80596, 11, 61343, 25136, 11, 323, 34627, 614, 15599, 3840, 369, 264, 10856, 2790, 315, 220, 24, 21, 1635, 13, 1416, 12989, 702, 15599, 369, 220, 24, 803, 1635, 1091, 61343, 25136, 323, 369, 220, 16, 17, 16745, 1635, ...
[ 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 ]
226
490
46
answer_trajectory
What does the model currently think the answer is?
C
either A) hands or C) fists. But which one is more accurate? Let me think. When you punch, you use your fists, which are the closed hands. So the blood could be on the fists, but if the punches are repeated
C) fists
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[ 9, 18, 27 ]
14
110
13
answer_trajectory
What does the model currently think the answer is?
A
A)1. But wait, let me check again if there's another square. Wait, 20^2 is 400. Which is 400. So ccb would be 400. But in that
A. 1
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[ 9, 18, 27 ]
187
444
42
answer_trajectory
What does the model currently think the answer is?
D
45? But let me check if that's possible. Wait, but if all 27 people who prefer XYZ are assigned to ABC, which has 42 spots. But 27 people are assigned to ABC, and then
uncertain
[ 151644, 872, 198, 1925, 264, 2562, 8411, 11, 220, 18, 15, 3266, 315, 220, 21, 15, 6625, 23130, 686, 387, 2661, 54613, 518, 14552, 71089, 323, 279, 9664, 220, 22, 15, 3266, 686, 387, 2661, 54613, 518, 14552, 19360, 13, 4354, 11, 220,...
[ 20, 40, 60, 80, 100, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201, 206, 211, 216, 20, 40, 60, 80, 100, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 20...
[ 9, 18, 27 ]
108
605
18
answer_trajectory
What does the model currently think the answer is?
780
780
780
[ 151644, 872, 198, 32, 13551, 702, 220, 20, 17, 6978, 323, 220, 16, 20, 8147, 315, 20427, 10779, 13, 2585, 1657, 10779, 525, 1052, 304, 678, 30, 151645, 198, 151644, 77091, 198, 32313, 11, 773, 358, 1184, 311, 7071, 700, 1246, 1657, ...
[ 5, 10, 16, 21, 26, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 5, 10, 16, 21, 26, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 5, 1...
[ 9, 18, 27 ]
28
67
43
answer_trajectory
What does the model currently think the answer is?
A
0.60 multiplied by 50. Let me do that calculation. 0.6 times 50... Hmm, 0.6 times 50. Well, 0.6 times 10 is 6
30
[ 151644, 872, 198, 4340, 1753, 220, 21, 15, 4, 315, 220, 20, 15, 374, 7046, 1091, 220, 19, 15, 4, 315, 220, 18, 15, 1939, 32, 8, 16, 23, 198, 33, 8, 17, 23, 198, 34, 8, 17, 24, 198, 35, 8, 16, 16, 198, 36, 8, 16, 17, 27...
[ 10, 20, 30, 40, 50, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 10, 20, 30, 40, 50, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, ...
[ 9, 18, 27 ]
5
93
6
answer_trajectory
What does the model currently think the answer is?
B
that the structure would have three single bonds and one lone pair on nitrogen? Wait, but nitrogen would have only 5 - 3 (since each bond is a shared pair, so nitrogen contributes one electron to each bond). Wait, maybe I need
uncertain
[ 151644, 872, 198, 4854, 56981, 1352, 315, 279, 24691, 7698, 27672, 11, 5664, 18, 36519, 702, 1246, 1657, 20254, 323, 1246, 1657, 8938, 26363, 1939, 32, 8, 220, 19, 20254, 323, 220, 16, 8938, 198, 33, 8, 220, 18, 20254, 323, 220, 16,...
[ 22, 45, 67, 90, 112, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 22, 45, 67, 90, 112, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 21...
[ 9, 18, 27 ]
43
233
18
answer_trajectory
What does the model currently think the answer is?
80
3 times more than the brushes. So, 3 times $20 is $60. That seems right. So canvas is $60
60
[ 151644, 872, 198, 68556, 6801, 311, 6177, 264, 6802, 323, 3880, 1045, 7375, 311, 653, 429, 13, 2932, 6801, 311, 3695, 264, 738, 315, 61626, 369, 400, 17, 15, 323, 1045, 10041, 369, 2326, 3039, 803, 1091, 279, 61626, 13, 576, 6177, 7...
[ 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 ]
34
111
31
answer_trajectory
What does the model currently think the answer is?
E
$1.00 + (3 - 1/5) * $0.40 = $1.00 + 2.8 * $0.40 = $2.12, which is not an option
uncertain
[ 151644, 872, 198, 2679, 32505, 69218, 1033, 400, 16, 13, 15, 15, 369, 279, 1156, 220, 16, 14, 20, 14587, 323, 400, 15, 13, 19, 15, 369, 1817, 220, 16, 14, 20, 14587, 1052, 1283, 11, 1221, 279, 32505, 20425, 369, 264, 220, 18, 42...
[ 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 ]
310
355
87
answer_trajectory
What does the model currently think the answer is?
B
not among the options? But that's not possible. Maybe I made a mistake in the problem statement?
uncertain
[ 151644, 872, 198, 2679, 220, 16, 11884, 87, 10, 19, 7257, 16, 11884, 87, 12, 19, 11730, 16, 11884, 87, 12, 19, 701, 1128, 374, 279, 897, 315, 856, 1939, 32, 8, 20, 198, 33, 8, 19, 198, 34, 8, 16, 198, 35, 8, 17, 198, 36, 8...
[ 10, 20, 30, 40, 50, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 10, 20, 30, 40, 50, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, ...
[ 9, 18, 27 ]
78
248
31
answer_trajectory
What does the model currently think the answer is?
E
E)2880
E. 2880
[ 151644, 872, 198, 4340, 1657, 4420, 525, 1052, 304, 1378, 1290, 25941, 1939, 32, 8, 17, 16, 198, 33, 8, 17, 17, 198, 34, 8, 16, 22, 198, 35, 8, 17, 23, 23, 23, 198, 36, 8, 17, 23, 23, 15, 271, 16141, 448, 279, 6524, 13, 15...
[ 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 ]
477
533
89
answer_trajectory
What does the model currently think the answer is?
A
A) refrigerator. But I'm not sure. Wait, but the question says "opened this and saw mold." So if you open a refrigerator, you might see mold on the inside. But also, if you open a pizza box, you might
A
[ 151644, 872, 198, 13079, 572, 90074, 979, 566, 8930, 419, 323, 5485, 28461, 13, 220, 3555, 374, 419, 1939, 32, 8, 44944, 198, 33, 8, 16002, 2011, 198, 34, 8, 27854, 198, 35, 8, 22502, 3745, 198, 36, 8, 75775, 271, 16141, 448, 279,...
[ 8, 17, 25, 34, 42, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 8, 17, 25, 34, 42, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, ...
[ 9, 18, 27 ]
32
151
21
answer_trajectory
What does the model currently think the answer is?
B
ambiguous unless we know whether it's sample or population variance. However, in many introductory statistics courses, when you are given all the data points (i.e., the entire population), you use population variance. However, sometimes, even with the entire data
uncertain
[ 151644, 872, 198, 785, 11900, 72, 315, 4236, 2155, 15721, 315, 8413, 45518, 320, 258, 14924, 8, 525, 220, 17, 13, 15, 18, 11, 220, 16, 13, 24, 23, 11, 220, 17, 13, 17, 19, 11, 220, 17, 13, 16, 22, 11, 323, 220, 17, 13, 15, ...
[ 106, 212, 318, 424, 530, 637, 642, 647, 652, 657, 662, 667, 672, 677, 682, 687, 692, 697, 702, 707, 712, 717, 722, 727, 732, 106, 212, 318, 424, 530, 637, 642, 647, 652, 657, 662, 667, 672, 677, 682, 687, 692, 697, 702, 707, 7...
[ 9, 18, 27 ]
164
304
54
answer_trajectory
What does the model currently think the answer is?
F
likely A or C. But the state's argument is that the fee is a contribution toward protection. If the state is providing protection (like law enforcement, infrastructure, etc.) to the crawfish industry, then the fee is a reasonable contribution. However
A
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[ 47, 94, 141, 188, 235, 282, 287, 292, 297, 302, 307, 312, 317, 322, 327, 332, 337, 342, 347, 352, 357, 362, 367, 372, 377, 47, 94, 141, 188, 235, 282, 287, 292, 297, 302, 307, 312, 317, 322, 327, 332, 337, 342, 347, 352, 357, ...
[ 9, 18, 27 ]
103
304
34
answer_trajectory
What does the model currently think the answer is?
A
A or C?
A
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[ 9, 18, 27 ]
82
125
66
answer_trajectory
What does the model currently think the answer is?
220
correct
correct
[ 151644, 872, 198, 36634, 51207, 1614, 9331, 11, 323, 566, 702, 220, 18, 15, 16, 4119, 2790, 13, 220, 11387, 702, 220, 19, 3039, 438, 1657, 27227, 5788, 438, 434, 2260, 11, 323, 220, 18, 803, 1091, 10917, 279, 1372, 315, 434, 2260, ...
[ 10, 20, 31, 41, 51, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 10, 20, 31, 41, 51, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, ...
[ 9, 18, 27 ]
66
111
60
answer_trajectory
What does the model currently think the answer is?
163
total sugar needed minus the sugar he already has. So that would be 450 lbs minus 287 lbs
163
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[ 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 ]
6
64
10
answer_trajectory
What does the model currently think the answer is?
C
16? No, I have 18
18
[ 151644, 872, 198, 32, 284, 314, 17, 11, 220, 18, 11, 220, 20, 11, 220, 22, 11, 220, 16, 16, 532, 33, 284, 314, 17, 11, 220, 19, 11, 220, 21, 11, 220, 16, 20, 532, 11613, 25780, 686, 387, 26618, 4091, 504, 7289, 362, 323, 425...
[ 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 ]
932
952
98
answer_trajectory
What does the model currently think the answer is?
E. 4
either A or B. Let me compute the sum of digits
uncertain
[ 151644, 872, 198, 2679, 279, 1985, 220, 19, 23, 21, 19, 856, 220, 24, 393, 220, 17, 374, 74916, 553, 220, 16, 17, 11, 1221, 279, 897, 315, 393, 374, 1447, 32, 8, 16, 198, 33, 8, 20, 198, 34, 8, 23, 198, 35, 8, 21, 198, 36,...
[ 10, 20, 30, 40, 50, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 10, 20, 30, 40, 50, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, ...
[ 9, 18, 27 ]
66
620
10
answer_trajectory
What does the model currently think the answer is?
D
250 meters divided by 120 kmph. But wait, the units here are different. The distance is in meters and the speed is in kmph. So I need to convert the speed to meters per second or convert the
uncertain
[ 151644, 872, 198, 11613, 27688, 525, 7218, 518, 220, 20, 15, 13136, 759, 323, 220, 22, 15, 13136, 759, 304, 14002, 17961, 13, 10964, 28316, 525, 220, 16, 20, 15, 296, 323, 220, 16, 15, 15, 296, 15576, 13, 576, 882, 807, 686, 1896,...
[ 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 ]
17
139
12
answer_trajectory
What does the model currently think the answer is?
E
E)7:8, which is possible when x=3. But why x=3? Because if we assume that the wife's age is 24, and Anil's age is 21, which is a plausible age difference
E. 7:8
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[ 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 ]
318
379
84
answer_trajectory
What does the model currently think the answer is?
A
likely one of the antibiotics. But wait, the options are A, B, C, D. Let me check the options again
uncertain
[ 151644, 872, 198, 32, 220, 20, 18, 4666, 6284, 883, 18404, 311, 806, 27279, 748, 5163, 448, 264, 24999, 39600, 892, 566, 702, 1030, 916, 279, 1537, 2421, 3951, 13, 1260, 572, 28604, 448, 20601, 53192, 533, 69424, 8457, 320, 34, 3067, ...
[ 58, 116, 174, 232, 290, 349, 354, 359, 364, 369, 374, 379, 384, 389, 394, 399, 404, 409, 414, 419, 424, 429, 434, 439, 444, 58, 116, 174, 232, 290, 349, 354, 359, 364, 369, 374, 379, 384, 389, 394, 399, 404, 409, 414, 419, 424...
[ 9, 18, 27 ]
20
221
9
answer_trajectory
What does the model currently think the answer is?
J
likely J) gate-control theory
J. gate-control theory
[ 151644, 872, 198, 32, 1697, 15691, 504, 264, 6787, 56242, 13719, 1059, 6646, 374, 27092, 50412, 553, 70820, 71919, 13, 2932, 1558, 537, 44393, 279, 6646, 504, 279, 56242, 1393, 1340, 374, 71919, 11, 714, 279, 6646, 4675, 5135, 1283, 134...
[ 20, 41, 61, 82, 102, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 20, 41, 61, 82, 102, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 20...
[ 9, 18, 27 ]
22
36
63
answer_trajectory
What does the model currently think the answer is?
C
21. Therefore, the answer is C)21. However, the answer options include 21 as option C. Therefore, the answer is C. But let me check again if there is a mistake here
C. 21
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[ 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 ]
206
400
51
answer_trajectory
What does the model currently think the answer is?
D. 48
72,000 divided by 18,000. Let me divide both numbers by 18,000. 72,000 ÷ 18,000 = 4
4
[ 151644, 872, 198, 641, 264, 15305, 369, 264, 2562, 11, 18919, 2725, 82, 19215, 13, 21, 15, 15, 15, 369, 4583, 1042, 609, 9542, 84, 2725, 82, 19215, 13, 18, 15, 15, 15, 369, 220, 21, 3951, 13, 3555, 374, 9542, 84, 748, 4332, 421,...
[ 15, 30, 46, 61, 76, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 15, 30, 46, 61, 76, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 1...
[ 9, 18, 27 ]
30
87
35
answer_trajectory
What does the model currently think the answer is?
D
D)551. But let me check if 551 is indeed the correct next term
D. 551
[ 151644, 872, 198, 12555, 374, 1790, 902, 13, 220, 16, 16, 220, 17, 18, 220, 19, 22, 220, 23, 18, 220, 16, 18, 16, 220, 16, 24, 16, 220, 17, 21, 18, 220, 18, 19, 22, 220, 19, 19, 18, 94521, 32, 8, 16, 22, 16, 198, 33, 8, ...
[ 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 ]
130
199
65
answer_trajectory
What does the model currently think the answer is?
B
30000
30000
[ 151644, 872, 198, 22286, 3949, 19215, 13, 21, 15, 15, 15, 438, 806, 4332, 700, 315, 279, 2790, 11372, 315, 19215, 13, 24, 15, 15, 15, 892, 566, 323, 20238, 15303, 518, 279, 835, 315, 220, 16, 1635, 13, 1416, 6798, 27991, 19215, 13...
[ 20, 41, 61, 82, 102, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 20, 41, 61, 82, 102, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 20...
[ 9, 18, 27 ]
102
113
91
answer_trajectory
What does the model currently think the answer is?
C
BC = DE * (13/12) ≈ 14.08 cm. But since the options don't have that, maybe I made a mistake in the ratio?
14.08
[ 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 ]
78
432
18
answer_trajectory
What does the model currently think the answer is?
C
C) 2/3. But maybe the original problem had different numbers? For example, if Mike can hit 3 times in 4 shots, then the answer would be different. But according to the given problem, Mike can hit 4
C. 2/3
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[ 9, 18, 27 ]
367
399
92
answer_trajectory
What does the model currently think the answer is?
I
not clear. Let me think again
uncertain
[ 151644, 872, 198, 26957, 862, 2329, 2906, 38454, 4614, 11, 264, 19023, 323, 806, 69314, 1033, 9842, 2114, 304, 458, 34428, 429, 572, 12938, 323, 23151, 553, 279, 19023, 13, 1634, 807, 1033, 29947, 458, 19246, 11, 862, 7310, 78890, 448, ...
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[ 9, 18, 27 ]
96
262
37
answer_trajectory
What does the model currently think the answer is?
G
G, even though the first part is incorrect. But the options are presented as possible answers. Alternatively, maybe the answer is G, and the first part is a mistake. Or perhaps the answer is G, and the first part is a mistake,
G
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[ 9, 18, 27 ]
164
185
89
answer_trajectory
What does the model currently think the answer is?
B. 480
2! * 3! = 2 * 6 = 12
12
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[ 9, 18, 27 ]
793
914
86
answer_trajectory
What does the model currently think the answer is?
D
96 minutes, which is option D
D. 96
[ 151644, 872, 198, 2679, 8063, 12645, 3238, 518, 279, 1852, 4379, 646, 653, 220, 18, 14, 19, 315, 264, 2618, 304, 220, 18, 15, 4420, 11, 1246, 1657, 4420, 1035, 432, 1896, 1378, 12645, 3238, 518, 279, 1852, 4379, 311, 653, 220, 18, ...
[ 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 ]
66
145
46
answer_trajectory
What does the model currently think the answer is?
A
A. But maybe the question is a trick question. Let me check again. Wait, maybe the code is shifting by +1, but for some reason, the last letter wraps around? But in the example, I is 9th letter,
uncertain
[ 151644, 872, 198, 2679, 3369, 38332, 23913, 527, 374, 46673, 438, 3369, 14884, 9773, 41, 19609, 1221, 3369, 47, 49389, 527, 374, 46673, 438, 271, 32, 8, 48, 11169, 37, 198, 33, 8, 76787, 10504, 198, 34, 8, 17612, 1150, 198, 35, 8, ...
[ 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 ]
130
346
37
answer_trajectory
What does the model currently think the answer is?
B
B)4 for P(E|F). But since the options don't have 1 for P(F|E), maybe the question is only asking for one of them? Wait, the question says "find P(E|F) and P(F
B. 4
[ 151644, 872, 198, 22043, 429, 468, 323, 434, 525, 4357, 1741, 429, 393, 10722, 8, 284, 220, 23, 11, 393, 7832, 8, 284, 220, 17, 323, 393, 10722, 308, 434, 8, 284, 220, 23, 345, 3903, 393, 320, 36, 91, 37, 8, 323, 393, 7832, 91...
[ 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 ]
75
135
56
answer_trajectory
What does the model currently think the answer is?
D
D) Both are chemical changes. But wait, the options are C and D. Let me check again
D
[ 151644, 872, 198, 3838, 653, 1493, 1378, 4344, 614, 304, 4185, 5267, 65, 1765, 458, 23268, 4349, 198, 970, 44029, 311, 4057, 86480, 812, 504, 264, 14961, 45505, 271, 32, 8, 11733, 525, 8881, 553, 26917, 624, 33, 8, 11733, 525, 8881, ...
[ 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 ]
35
124
29
answer_trajectory
What does the model currently think the answer is?
D
C) working
C
[ 151644, 872, 198, 26733, 566, 1410, 3003, 8604, 2087, 806, 2487, 25808, 279, 2732, 11, 432, 1030, 1012, 14971, 1128, 2337, 279, 1899, 1939, 32, 8, 4227, 198, 33, 8, 10962, 1495, 198, 34, 8, 3238, 198, 35, 8, 7218, 198, 36, 8, 1015...
[ 9, 18, 27, 36, 45, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 9, 18, 27, 36, 45, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150...
[ 9, 18, 27 ]
31
217
14
answer_trajectory
What does the model currently think the answer is?
A
b=1? But let me check the options. The options are A)1, B)0, C)5, D)6, E)7. So A is 1. But let me check again if there are other numbers
A. 1
[ 151644, 872, 198, 10061, 264, 11, 293, 11, 272, 387, 12460, 18509, 13, 21144, 264, 1378, 48342, 1372, 3369, 370, 527, 323, 264, 2326, 48342, 1372, 3369, 81317, 19609, 2176, 4512, 1212, 279, 13475, 12122, 1372, 1849, 11, 421, 320, 370, ...
[ 14, 29, 44, 59, 74, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 14, 29, 44, 59, 74, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174...
[ 9, 18, 27 ]
98
444
22
answer_trajectory
What does the model currently think the answer is?
C
either A, B, or E
uncertain
[ 151644, 872, 198, 28084, 3937, 311, 39094, 279, 15797, 1007, 315, 4297, 304, 806, 9780, 13, 220, 1260, 15516, 6963, 264, 22361, 323, 15797, 291, 4815, 432, 13, 220, 10967, 2578, 279, 22361, 614, 1012, 1939, 32, 8, 27645, 198, 33, 8, ...
[ 11, 22, 33, 44, 55, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 11, 22, 33, 44, 55, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156,...
[ 9, 18, 27 ]
31
64
50
answer_trajectory
What does the model currently think the answer is?
A
different. Let me try that
uncertain
[ 151644, 872, 198, 785, 5461, 315, 220, 16, 16, 5109, 374, 220, 18, 15, 13, 1416, 279, 5461, 315, 1156, 4743, 5109, 374, 220, 16, 22, 13, 20, 323, 429, 315, 1537, 4743, 374, 220, 19, 17, 13, 20, 11, 1221, 1128, 374, 279, 25031, ...
[ 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 ]
246
280
88
answer_trajectory
What does the model currently think the answer is?
E
15.7, which is not 18. So D is not correct
15.7
[ 151644, 872, 198, 2679, 220, 16, 23, 374, 220, 16, 20, 3266, 315, 220, 18, 20, 3266, 315, 264, 3654, 1372, 11, 1128, 374, 279, 1372, 1939, 32, 8, 24, 198, 33, 8, 18, 21, 198, 34, 8, 19, 15, 198, 35, 8, 18, 15, 15, 198, 36,...
[ 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 ]
122
569
21
answer_trajectory
What does the model currently think the answer is?
B
B. Reassuring the parents and using an enuresis alarm
B. Reassuring the parents and using an enuresis alarm
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[ 38, 76, 114, 152, 190, 229, 234, 239, 244, 249, 254, 259, 264, 269, 274, 279, 284, 289, 294, 299, 304, 309, 314, 319, 324, 38, 76, 114, 152, 190, 229, 234, 239, 244, 249, 254, 259, 264, 269, 274, 279, 284, 289, 294, 299, 304, ...
[ 9, 18, 27 ]
56
64
89
answer_trajectory
What does the model currently think the answer is?
B
probably B) They produce their own food. Let me check the other options to be sure
B
[ 151644, 872, 198, 23085, 315, 279, 2701, 1850, 16555, 1246, 10779, 990, 279, 4802, 807, 5258, 504, 39020, 1939, 32, 8, 2379, 2297, 3015, 1119, 8628, 624, 33, 8, 2379, 8193, 862, 1828, 3607, 624, 34, 8, 2379, 1281, 32972, 369, 862, 1...
[ 10, 21, 31, 42, 52, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 10, 21, 31, 42, 52, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 10, ...
[ 9, 18, 27 ]
5
24
25
answer_trajectory
What does the model currently think the answer is?
B
B
B
[ 151644, 872, 198, 1655, 264, 26931, 1965, 369, 8063, 686, 2444, 4743, 12598, 323, 1378, 2613, 2841, 13, 576, 1378, 2841, 686, 2444, 1790, 311, 1817, 1008, 11, 323, 279, 1378, 6562, 315, 279, 2841, 686, 2444, 1790, 311, 279, 2841, 773,...
[ 20, 41, 62, 83, 104, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 20, 41, 62, 83, 104, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 20...
[ 9, 18, 27 ]
562
580
97
answer_trajectory
What does the model currently think the answer is?
D. 10:9
D) 10:9, and the rest of the information is irrelevant. But this is a stretch
D. 10:9
[ 151644, 872, 198, 785, 10987, 31851, 2083, 304, 264, 1550, 2906, 9833, 10707, 8866, 291, 220, 19, 23, 4420, 369, 264, 6010, 315, 220, 16, 18, 13, 17, 13136, 13, 11445, 38280, 362, 11, 425, 11, 356, 323, 422, 18401, 24722, 315, 220, ...
[ 21, 42, 63, 84, 105, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 212, 217, 222, 21, 42, 63, 84, 105, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 20...
[ 9, 18, 27 ]
339
385
88
answer_trajectory
What does the model currently think the answer is?
C
likely A or C
A
[ 151644, 872, 198, 96554, 1246, 279, 46516, 21595, 315, 279, 64470, 4130, 12, 1897, 263, 22147, 292, 13621, 2213, 315, 7761, 374, 5904, 429, 15552, 374, 279, 18929, 3684, 382, 32, 8, 576, 5263, 304, 15552, 2213, 2701, 2779, 12804, 14807,...
[ 43, 87, 130, 174, 217, 261, 266, 271, 276, 281, 286, 291, 296, 301, 306, 311, 316, 321, 326, 331, 336, 341, 346, 351, 356, 43, 87, 130, 174, 217, 261, 266, 271, 276, 281, 286, 291, 296, 301, 306, 311, 316, 321, 326, 331, 336, ...
[ 9, 18, 27 ]
78
158
50
answer_trajectory
What does the model currently think the answer is?
B
B
B
[ 151644, 872, 198, 785, 5461, 315, 8473, 315, 264, 35999, 2781, 315, 220, 16, 15, 35000, 572, 220, 18, 17, 13, 2585, 1657, 8473, 1969, 566, 1281, 304, 806, 1790, 35000, 773, 438, 311, 5263, 806, 5461, 315, 8473, 553, 220, 19, 23754, ...
[ 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 ]
127
129
99
answer_trajectory
What does the model currently think the answer is?
D
D. So, profit is 56/172 = 0.3255... which is same as before. So, 32.55%, which is more than 30%. Therefore, answer D
D. 56/172
[ 151644, 872, 198, 32, 883, 49531, 458, 4549, 369, 220, 16, 19, 4, 2686, 1091, 1181, 897, 323, 30778, 432, 369, 220, 16, 19, 4, 803, 1091, 1181, 897, 13, 5301, 8722, 476, 4709, 3266, 374, 1447, 32, 8, 2152, 11372, 11, 902, 4709, ...
[ 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 ]
224
291
77
answer_trajectory
What does the model currently think the answer is?
22
64 + 256 = 320, then 320 + 32 = 352. That seems right
352
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[ 11, 22, 33, 44, 55, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 11, 22, 33, 44, 55, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156,...
[ 9, 18, 27 ]
40
103
39
answer_trajectory
What does the model currently think the answer is?
8
50% of 16 GB, which is again 0.5 * 16 = 8 GB
8 GB
[ 151644, 872, 198, 1925, 264, 220, 16, 21, 18865, 320, 70, 343, 66711, 8, 8654, 11348, 6541, 11, 220, 20, 15, 4, 374, 2669, 13028, 13, 20517, 279, 1372, 315, 22583, 71129, 2058, 2500, 13, 151645, 198, 151644, 77091, 198, 32313, 11, 7...
[ 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 ]
18
60
31
answer_trajectory
What does the model currently think the answer is?
A
mgh. So yes
uncertain
[ 151644, 872, 198, 5615, 3885, 678, 44512, 525, 4727, 7241, 10982, 5937, 13, 10878, 5937, 10982, 11, 29845, 59902, 821, 525, 369, 220, 17, 24, 23, 13, 16, 20, 730, 13, 20517, 279, 975, 4362, 369, 264, 400, 21, 20, 1124, 91550, 90, ...
[ 45, 90, 135, 180, 225, 271, 276, 281, 286, 291, 296, 301, 306, 311, 316, 321, 326, 331, 336, 341, 346, 351, 356, 361, 366, 45, 90, 135, 180, 225, 271, 276, 281, 286, 291, 296, 301, 306, 311, 316, 321, 326, 331, 336, 341, 346, ...
[ 9, 18, 27 ]
121
157
77
answer_trajectory
What does the model currently think the answer is?
0
12/16 = 0.75 minutes per question. Therefore, total time for 80 questions is 80 * 0.75 = 60 minutes. Therefore, she will finish in 60
60
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[ 10, 20, 30, 40, 50, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 10, 20, 30, 40, 50, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, ...
[ 9, 18, 27 ]
276
354
78
answer_trajectory
What does the model currently think the answer is?
290
either 170 or 290. But since the problem is presented in a way that might be expecting a single answer, maybe I need to check for any possible clues. Wait, the problem says "reap" in the first
uncertain
[ 151644, 872, 198, 63718, 273, 28708, 6801, 311, 56903, 56696, 40513, 504, 806, 13551, 13, 60033, 11, 566, 572, 2952, 311, 56903, 220, 16, 17, 15, 40513, 13, 11201, 11, 566, 572, 2952, 311, 56903, 220, 20, 15, 803, 40513, 1091, 13671, ...
[ 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 ]
110
197
56
answer_trajectory
What does the model currently think the answer is?
C
B) Jewish neighborhoods. Wait, but maybe C) Jewish community? But the options are a bit confusing. Let me think again. The question is asking where is it most likely to have a kosher deli. So, Jewish neighborhoods (B)
B. Jewish neighborhoods
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[ 8, 16, 25, 33, 41, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 8, 16, 25, 33, 41, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, ...
[ 9, 18, 27 ]
20
50
42
answer_trajectory
What does the model currently think the answer is?
B
n=10. But since 10 is not an option, maybe the problem is different?
uncertain
[ 151644, 872, 198, 4854, 4647, 315, 264, 3654, 8500, 374, 220, 19, 2686, 1091, 279, 3681, 4647, 13, 576, 1156, 4647, 315, 419, 8500, 374, 220, 16, 24, 13, 1416, 279, 2629, 315, 279, 1156, 308, 3793, 315, 279, 8500, 374, 308, 11, 11...
[ 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 ]
203
547
37
answer_trajectory
What does the model currently think the answer is?
B
either E or J. Wait, but I need to think about the position. The thalamus is located in the middle of the brain, and the hypothalamus is below it. The thalamus is more central. Also, the th
uncertain
[ 151644, 872, 198, 23085, 315, 279, 2701, 14389, 374, 7407, 518, 279, 1429, 8622, 323, 2617, 949, 315, 279, 8109, 1939, 32, 8, 26993, 17250, 372, 198, 33, 8, 1774, 34078, 198, 34, 8, 65646, 326, 15422, 198, 35, 8, 70106, 43551, 198, ...
[ 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 ]
82
147
56
answer_trajectory
What does the model currently think the answer is?
H
1.3 + (398.15 - 387.595)/298.15 = 1.3 + 10.555 / 298.15
1.3 + 0.0354
[ 151644, 872, 198, 5615, 3885, 429, 678, 44512, 525, 4727, 323, 429, 821, 8300, 311, 220, 17, 24, 23, 13, 16, 20, 730, 7241, 5937, 10982, 13, 20517, 57960, 20277, 328, 3, 320, 1958, 279, 1849, 8, 979, 279, 1584, 315, 400, 18, 13, ...
[ 61, 122, 183, 244, 305, 366, 371, 376, 381, 386, 391, 396, 401, 406, 411, 416, 421, 426, 431, 436, 441, 446, 451, 456, 461, 61, 122, 183, 244, 305, 366, 371, 376, 381, 386, 391, 396, 401, 406, 411, 416, 421, 426, 431, 436, 441...
[ 9, 18, 27 ]
159
235
68
answer_trajectory
What does the model currently think the answer is?
A
A) Schizotypal personality disorder. Wait, but let me think again. The symptoms mentioned include paranoia, distrust of neighbors, thinking they want his nice things, doubting his wife's fidelity, and even suspecting the marriage counselor. These
A
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[ 28, 56, 84, 112, 140, 169, 174, 179, 184, 189, 194, 199, 202, 28, 56, 84, 112, 140, 169, 174, 179, 184, 189, 194, 199, 202, 28, 56, 84, 112, 140, 169, 174, 179, 184, 189, 194, 199, 202 ]
[ 9, 18, 27 ]
2
65
4
answer_trajectory
What does the model currently think the answer is?
C
not there. But since the options are given, maybe I need to check again
uncertain
[ 151644, 872, 198, 11613, 23148, 27688, 1191, 518, 279, 1852, 6460, 304, 279, 1899, 504, 1378, 2155, 17337, 323, 3271, 6974, 1817, 1008, 518, 279, 4379, 315, 220, 17, 20, 13136, 759, 323, 220, 17, 16, 13136, 759, 15576, 13, 3197, 807, ...
[ 19, 38, 57, 76, 95, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 19, 38, 57, 76, 95, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195,...
[ 9, 18, 27 ]
165
499
33
answer_trajectory
What does the model currently think the answer is?
D
E
E
[ 151644, 872, 198, 3862, 525, 220, 18, 5109, 362, 11, 425, 323, 356, 13, 1416, 362, 81268, 284, 220, 18, 14, 20, 11, 425, 55992, 284, 220, 20, 14, 19, 11, 356, 63843, 284, 220, 19, 14, 23, 11, 1221, 362, 63843, 686, 387, 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 ]
123
256
48
answer_trajectory
What does the model currently think the answer is?
22000
12,000 + 8,000 = 20,000
20,000
[ 151644, 872, 198, 18315, 295, 71941, 4743, 8256, 13, 13322, 315, 1105, 525, 30112, 7337, 879, 1281, 400, 16, 20, 7530, 413, 11, 323, 279, 1008, 1378, 525, 19680, 879, 1281, 400, 17, 15, 7530, 413, 13, 53665, 702, 311, 2291, 220, 16,...
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[ 9, 18, 27 ]
136
159
86
answer_trajectory
What does the model currently think the answer is?
I
52,000. So, looking at the options, I is $52,000. So, the answer is I
52,000
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[ 9, 18, 27 ]
75
83
91
answer_trajectory
What does the model currently think the answer is?
B
B) space shuttle
B) space shuttle
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[ 9, 18, 27 ]
31
54
59
answer_trajectory
What does the model currently think the answer is?
C
likely C) country club. Wimbledon is a specific tennis tournament, so that's probably not it. Health club might have tennis but not golf. So the best fit is country club
C. country club
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[ 9, 18, 27 ]
7
14
57
answer_trajectory
What does the model currently think the answer is?
A
decomposition. But wait, the options don't have ammonification. So the question is about the process that converts organic nitrogen into inorganic. So decomposition is the process that includes breaking down organic matter, which includes nitrogen. So the answer is A)
A. decomposition
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[ 9, 18, 27 ]
12
24
54
answer_trajectory
What does the model currently think the answer is?
A
B? Or C?
B
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[ 9, 18, 27 ]
170
256
66
answer_trajectory
What does the model currently think the answer is?
D
D) 450
D. 450
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[ 9, 18, 27 ]
94
207
45
answer_trajectory
What does the model currently think the answer is?
B. 44
B)44. But I'm not sure. However, based on the calculations, the correct answer is that all options except E cannot represent, but since the question asks for one, I think the answer is B)44
B. 44
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[ 9, 18, 27 ]
550
561
98
answer_trajectory
What does the model currently think the answer is?
C
C
C
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[ 9, 18, 27 ]
81
109
75
answer_trajectory
What does the model currently think the answer is?
D
not straightforward. But since we already have the formula, and verified it with multiple methods, I think it's safe to go with 1/3
1/3
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[ 9, 18, 27 ]
417
424
98
answer_trajectory
What does the model currently think the answer is?
22
4 Saturdays times 3 chocolates each, which is 12, plus 10 extra, so 22? But wait, that would be 4*3 +10= 22. But maybe the problem is considering
22
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[ 9, 18, 27 ]
32
196
16
answer_trajectory
What does the model currently think the answer is?
D
not among the options? But that can't be. Maybe I need to check the answer choices again. Let me check the options again:
uncertain
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[ 9, 18, 27 ]
222
367
60
answer_trajectory
What does the model currently think the answer is?
B
not straightforward. Wait, but this is getting into more complex packing where we have leftover space
uncertain
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[ 9, 18, 27 ]
316
649
48
answer_trajectory
What does the model currently think the answer is?
B
A) euphemism. Wait, but I'm not sure. Maybe the answer is not euphemism. Let me think again. The phrase "old news" is not a euphemism. It's just a way of saying the information
uncertain
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[ 9, 18, 27 ]
45
91
50
answer_trajectory
What does the model currently think the answer is?
A
A. Because "at random" is a traditional usage, whereas "random trip" might be considered more of a modern or less traditional use. Alternatively, maybe the answer is B. Hmm
A
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51
68
76