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?
A
different. Let me check that scenario. Suppose that the second car catches up with the first car at the end of the trip, which is 90 miles. Then, the first car would have taken 90 / 40 =
2.25
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[ 9, 18, 27 ]
311
359
86
answer_trajectory
What does the model currently think the answer is?
C
option C? But wait, let me check the options again
C
[ 151644, 872, 198, 27497, 659, 16, 19, 22, 21, 311, 320, 64, 8, 220, 17, 12122, 7482, 320, 65, 8, 220, 18, 12122, 7482, 320, 66, 8, 220, 16, 12122, 1992, 382, 32, 8, 320, 64, 8, 659, 16, 19, 11, 320, 65, 8, 659, 16, 19, 22,...
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[ 9, 18, 27 ]
78
171
46
answer_trajectory
What does the model currently think the answer is?
J
I? Or J?
I
[ 151644, 872, 198, 2082, 3693, 19024, 26057, 438, 458, 62561, 323, 43068, 315, 72861, 27548, 553, 264, 7214, 3146, 11, 323, 31995, 3807, 82173, 369, 279, 34457, 7982, 315, 279, 72861, 13, 362, 30112, 7407, 304, 264, 13867, 13469, 279, 79...
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[ 9, 18, 27 ]
105
310
34
answer_trajectory
What does the model currently think the answer is?
A
approximately 3.3 something. Let me check 3.3^4: 3.3^2 = 10.89, then 10.89 * 10.89 ≈ 11
3.3
[ 151644, 872, 198, 785, 897, 315, 220, 20, 16, 14, 19, 353, 320, 16, 17, 20, 8, 15, 13, 17, 20, 374, 1447, 32, 8, 20, 198, 33, 8, 20, 7, 20, 340, 34, 8, 20, 144336, 20, 198, 35, 8, 144336, 20, 198, 36, 8, 4064, 271, 16141...
[ 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 ]
110
249
44
answer_trajectory
What does the model currently think the answer is?
F
G
uncertain
[ 151644, 872, 198, 3966, 1042, 4134, 11, 1393, 9842, 1526, 458, 19246, 11, 279, 25799, 594, 1803, 78890, 448, 279, 42002, 594, 1803, 13, 576, 42002, 41084, 11, 20409, 429, 279, 25799, 10613, 264, 2518, 3100, 13, 758, 1059, 1142, 3419, ...
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[ 9, 18, 27 ]
394
483
81
answer_trajectory
What does the model currently think the answer is?
I
interpretation? Or maybe something else
uncertain
[ 151644, 872, 198, 17117, 21251, 702, 264, 8251, 13, 576, 1156, 882, 1340, 15634, 264, 38724, 11, 1340, 6738, 432, 264, 8251, 13, 6252, 16523, 374, 4152, 311, 279, 1882, 315, 271, 32, 8, 15010, 624, 33, 8, 4586, 2022, 624, 34, 8, 1...
[ 14, 28, 42, 56, 70, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 14, 28, 42, 56, 70, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, ...
[ 9, 18, 27 ]
23
152
15
answer_trajectory
What does the model currently think the answer is?
A
likely A or J. Let me think again
A
[ 151644, 872, 198, 4340, 1558, 15806, 51916, 6181, 89, 594, 5912, 10339, 483, 35707, 937, 4340, 1558, 432, 2692, 1958, 1039, 22845, 315, 1039, 1828, 15650, 23754, 32, 8, 15806, 51916, 6181, 89, 594, 5912, 14758, 87028, 438, 43347, 9251, ...
[ 41, 82, 124, 165, 206, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298, 303, 308, 313, 318, 323, 328, 333, 338, 343, 41, 82, 124, 165, 206, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298, 303, 308, 313, 318, 323, ...
[ 9, 18, 27 ]
58
174
33
answer_trajectory
What does the model currently think the answer is?
E
E) catch on fire. But I'm not 100% sure. Alternatively, maybe D is also correct. But in some cases, the bang is the sound, not the plane's state. So the answer might be E
E
[ 151644, 872, 198, 3838, 8573, 311, 75381, 979, 807, 4201, 279, 4910, 1939, 32, 8, 42780, 198, 33, 8, 6777, 45117, 198, 34, 8, 32505, 198, 35, 8, 8193, 25441, 198, 36, 8, 2287, 389, 3940, 271, 16141, 448, 279, 6524, 13, 151645, 198...
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[ 9, 18, 27 ]
54
70
78
answer_trajectory
What does the model currently think the answer is?
C
0.94545... So, 0.94545... which is the same as before. Therefore, 1 - x/100 = 52/55, so x/10
0.94545...
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[ 9, 18, 27 ]
93
166
56
answer_trajectory
What does the model currently think the answer is?
3
going to be the number of two-digit factors of the GCD of 100 and 150. Let me verify if that's correct
uncertain
[ 151644, 872, 198, 4340, 1657, 6785, 1378, 48342, 25780, 525, 9363, 315, 2176, 220, 16, 15, 15, 323, 220, 16, 20, 15, 30, 151645, 198, 151644, 77091, 198, 32313, 11, 773, 358, 1184, 311, 7071, 700, 1246, 1657, 6785, 1378, 48342, 25780,...
[ 4, 9, 14, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 4, 9, 14, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 4, 9, ...
[ 9, 18, 27 ]
5
227
2
answer_trajectory
What does the model currently think the answer is?
C
C
C
[ 151644, 872, 198, 12555, 646, 825, 912, 311, 264, 4752, 311, 5263, 432, 594, 1379, 1939, 32, 8, 3283, 198, 33, 8, 6290, 198, 34, 8, 12026, 198, 35, 8, 4399, 1495, 198, 36, 8, 15662, 3082, 271, 16141, 448, 279, 6524, 13, 151645, ...
[ 8, 16, 24, 32, 40, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 8, 16, 24, 32, 40, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, ...
[ 9, 18, 27 ]
16
18
94
answer_trajectory
What does the model currently think the answer is?
D
about whether the developer and the commission member had an agreement to commit bribery. If the member would have approved regardless, then there was no agreement to commit bribery. Because the member didn't agree to do anything in exchange for the money
uncertain
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[ 66, 132, 198, 264, 330, 397, 402, 407, 412, 417, 422, 427, 432, 437, 442, 447, 452, 457, 462, 467, 472, 477, 482, 487, 492, 66, 132, 198, 264, 330, 397, 402, 407, 412, 417, 422, 427, 432, 437, 442, 447, 452, 457, 462, 467, 472...
[ 9, 18, 27 ]
43
139
31
answer_trajectory
What does the model currently think the answer is?
67
:
uncertain
[ 151644, 872, 198, 49229, 13, 44215, 323, 1059, 2997, 525, 2087, 311, 279, 5700, 33496, 13, 220, 22133, 14403, 525, 400, 16, 16, 13, 220, 15044, 748, 14403, 320, 1134, 220, 18, 12, 16, 17, 8, 525, 400, 23, 13, 220, 19342, 21860, 74...
[ 19, 39, 58, 78, 97, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 212, 19, 39, 58, 78, 97, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197,...
[ 9, 18, 27 ]
222
308
72
answer_trajectory
What does the model currently think the answer is?
D
either C or A/D. But since fur is a type of hair, but not all hair is fur. For example, humans have hair, but not fur. However, the question says "grows from all mammal skin." So, all
uncertain
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[ 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 ]
14
53
28
answer_trajectory
What does the model currently think the answer is?
B
:
uncertain
[ 151644, 872, 198, 47866, 279, 55311, 6783, 369, 279, 12720, 518, 220, 18, 15, 15, 11616, 42, 472, 62, 17, 488, 422, 62, 17, 1124, 1291, 2359, 277, 1811, 220, 17, 19147, 1667, 279, 2701, 821, 91439, 47813, 144458, 51126, 49309, 16, 8...
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[ 9, 18, 27 ]
290
520
55
answer_trajectory
What does the model currently think the answer is?
D
(W / C) * 100% = (500 / 3840)*100% ≈ 13.02%, which is not among the options. Therefore, the answer is E)
E. 13.02%
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[ 9, 18, 27 ]
133
252
53
answer_trajectory
What does the model currently think the answer is?
B
B
B
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[ 18, 36, 54, 72, 90, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 18, 36, 54, 72, 90, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188,...
[ 9, 18, 27 ]
63
82
78
answer_trajectory
What does the model currently think the answer is?
6
$6
6
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[ 9, 18, 27 ]
84
90
94
answer_trajectory
What does the model currently think the answer is?
D
that the buyer has to pay the seller for the accrued interest from July 1 to October 17. So, the number of days between July 1 and October 17. Let me calculate that
uncertain
[ 151644, 872, 198, 1925, 6527, 220, 16, 22, 11, 11108, 5724, 14733, 1378, 400, 16, 11, 15, 15, 15, 26363, 11, 18043, 220, 21, 4, 2734, 44591, 6058, 220, 16, 323, 5768, 220, 16, 11, 518, 220, 24, 23, 13, 7379, 806, 2790, 2783, 11,...
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[ 9, 18, 27 ]
142
507
28
answer_trajectory
What does the model currently think the answer is?
G
A
A
[ 151644, 872, 198, 641, 264, 7781, 553, 458, 29593, 2348, 264, 1398, 10511, 11, 264, 9760, 2097, 374, 279, 3349, 315, 6623, 438, 23237, 389, 264, 3151, 2400, 220, 17, 15, 1635, 4134, 13, 576, 29593, 6738, 264, 94207, 311, 33189, 279, ...
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[ 9, 18, 27 ]
215
228
94
answer_trajectory
What does the model currently think the answer is?
B
likely A) stumbling. But wait, the question is about what you might be feeling. Stumbling is an action, not a feeling. So maybe the answer is B) nausea, which is a common feeling when drunk. Or E) your head
B
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[ 9, 18, 27 ]
4
27
18
answer_trajectory
What does the model currently think the answer is?
D
the present value of all these cash flows
uncertain
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[ 9, 18, 27 ]
119
428
28
answer_trajectory
What does the model currently think the answer is?
B
:
uncertain
[ 151644, 872, 198, 641, 264, 220, 19, 1697, 6957, 11, 58982, 525, 21328, 311, 279, 25648, 220, 18, 38280, 13, 576, 1156, 41661, 22259, 21189, 264, 6623, 36612, 11, 279, 2086, 41661, 22259, 21189, 264, 14961, 36612, 11, 323, 279, 4843, ...
[ 29, 58, 87, 116, 145, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 29, 58, 87, 116, 145, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, ...
[ 9, 18, 27 ]
418
451
92
answer_trajectory
What does the model currently think the answer is?
B
7/30, which is option B
B. 7/30
[ 151644, 872, 198, 16, 15, 6437, 27197, 20332, 304, 264, 3745, 11, 2670, 220, 16, 7840, 323, 220, 16, 25462, 13, 1416, 220, 18, 315, 279, 20332, 304, 279, 3745, 525, 11882, 518, 4194, 11, 2041, 13723, 11, 1128, 374, 279, 18927, 429, ...
[ 17, 34, 51, 68, 85, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 17, 34, 51, 68, 85, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182,...
[ 9, 18, 27 ]
126
181
70
answer_trajectory
What does the model currently think the answer is?
B
B) bedroom
B. bedroom
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[ 9, 18, 27 ]
14
35
42
answer_trajectory
What does the model currently think the answer is?
46
46
46
[ 151644, 872, 198, 32, 8633, 8947, 220, 20, 15, 55953, 323, 220, 17, 16, 94046, 13, 4636, 220, 19, 16, 315, 279, 55953, 1033, 6088, 11, 432, 8947, 2441, 220, 16, 21, 94046, 13, 2585, 1657, 55953, 323, 94046, 1521, 279, 8633, 614, 3...
[ 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 ]
175
331
53
answer_trajectory
What does the model currently think the answer is?
E
E. However, looking at the original problem, the answer choices are given as A to J, and E is one of them. Therefore, the answer is E. However, I need to check if the answer is different. Wait, maybe the
E
[ 151644, 872, 198, 32, 2629, 315, 3220, 374, 45564, 369, 264, 4647, 315, 220, 16, 1042, 11, 47674, 518, 279, 4379, 315, 220, 21, 14360, 3555, 374, 279, 830, 4379, 315, 2734, 11430, 30, 3555, 1035, 279, 830, 4379, 315, 2734, 387, 369,...
[ 33, 66, 99, 132, 165, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 33, 66, 99, 132, 165, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, ...
[ 9, 18, 27 ]
196
225
87
answer_trajectory
What does the model currently think the answer is?
D
2/3. So same as before. So no mistake here
2/3
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[ 9, 18, 27 ]
109
186
59
answer_trajectory
What does the model currently think the answer is?
B
B
B
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[ 9, 18, 27 ]
57
60
96
answer_trajectory
What does the model currently think the answer is?
70
\boxed{70}
70
[ 151644, 872, 198, 37036, 4834, 702, 220, 20, 14697, 448, 220, 17, 19, 88916, 2382, 304, 1817, 13, 2932, 13686, 429, 220, 20, 14, 23, 315, 279, 88916, 2382, 304, 279, 220, 17, 14697, 1033, 537, 3602, 1483, 13, 758, 279, 220, 17, 10...
[ 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 ]
431
432
100
answer_trajectory
What does the model currently think the answer is?
237
237. Wait, but 290 minus 50 is 240, then minus 3 is 237. Yes, that's correct
237
[ 151644, 872, 198, 32749, 23956, 10788, 9833, 7096, 13, 27176, 362, 10788, 5779, 501, 19240, 82, 369, 400, 17, 24, 1817, 11, 1393, 7247, 425, 10788, 220, 16, 19, 501, 19507, 82, 369, 400, 17, 13, 20, 15, 1817, 323, 264, 19507, 15743,...
[ 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 ]
49
91
54
answer_trajectory
What does the model currently think the answer is?
B
0.06355 / 8960 = ?
0.00000709
[ 151644, 872, 198, 16, 76, 1263, 315, 6437, 23285, 51856, 374, 1575, 76, 745, 504, 17, 15, 15, 13, 15, 266, 76, 34651, 315, 6437, 23285, 51856, 374, 1575, 76, 745, 504, 69787, 311, 220, 16, 13, 15, 69787, 13, 20517, 1124, 35, 71906...
[ 46, 92, 139, 185, 231, 278, 283, 288, 293, 298, 303, 308, 313, 318, 323, 328, 333, 338, 343, 348, 353, 358, 363, 368, 373, 46, 92, 139, 185, 231, 278, 283, 288, 293, 298, 303, 308, 313, 318, 323, 328, 333, 338, 343, 348, 353, ...
[ 9, 18, 27 ]
235
361
65
answer_trajectory
What does the model currently think the answer is?
12
3*12 - 2*12 = 12. So, 12 more apple pies. Hmm. But let me think again. Wait, is there a possibility that the problem is considering that he bakes 1
12
[ 151644, 872, 198, 37495, 702, 6635, 311, 3635, 264, 75828, 13, 1913, 90171, 11, 6521, 4873, 13778, 323, 79423, 11, 566, 293, 2050, 23268, 60677, 13, 1913, 82683, 13778, 323, 82685, 13778, 11, 566, 293, 2050, 40880, 60677, 13, 1416, 566,...
[ 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 ]
33
140
24
answer_trajectory
What does the model currently think the answer is?
D
D) $232. But let me check the options again. The options are A) $140, B) $160, C) $220, D) $232, E) $2
D. 232
[ 151644, 872, 198, 32, 12921, 19277, 61990, 12921, 12621, 369, 400, 16, 15, 817, 2003, 476, 400, 17, 19, 817, 2254, 13, 2585, 1753, 1558, 264, 1697, 3581, 304, 264, 1042, 553, 52227, 553, 279, 2254, 4751, 1091, 553, 279, 2003, 1939, ...
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[ 9, 18, 27 ]
48
216
22
answer_trajectory
What does the model currently think the answer is?
C
B
B
[ 151644, 872, 198, 32, 15754, 36187, 311, 1936, 458, 13154, 3753, 304, 264, 2205, 3283, 13, 1260, 9226, 400, 16, 3526, 504, 5257, 8173, 311, 3802, 279, 2390, 13, 4636, 15039, 369, 264, 48691, 2696, 429, 1035, 387, 14016, 369, 4401, 11,...
[ 90, 180, 270, 360, 450, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620, 625, 630, 635, 90, 180, 270, 360, 450, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615...
[ 9, 18, 27 ]
165
254
65
answer_trajectory
What does the model currently think the answer is?
C. 61
40, which is not in the options. But since the options are given, maybe the question is in another way. Let me check if the first average is 27 years, and the second is 20 years, but the
uncertain
[ 151644, 872, 198, 785, 5461, 4231, 315, 264, 9972, 11, 7403, 323, 862, 1682, 220, 18, 1635, 4134, 572, 220, 17, 22, 1635, 323, 429, 315, 7403, 323, 279, 1682, 220, 20, 1635, 4134, 572, 220, 17, 15, 1635, 13, 576, 3042, 4231, 315, ...
[ 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 ]
393
687
57
answer_trajectory
What does the model currently think the answer is?
100000
500 tables multiplied by (2/5)*500 books per table?
1000
[ 151644, 872, 198, 32, 536, 702, 220, 20, 15, 15, 12632, 323, 220, 17, 14, 20, 3039, 438, 1657, 6467, 438, 279, 1372, 315, 12632, 304, 279, 536, 525, 389, 1909, 315, 1817, 1965, 13, 3555, 594, 279, 2790, 1372, 315, 6467, 304, 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 ]
24
164
15
answer_trajectory
What does the model currently think the answer is?
490
$490.00
490.00
[ 151644, 872, 198, 79866, 3937, 311, 279, 11321, 448, 806, 4780, 311, 4669, 279, 1537, 5555, 315, 7324, 13, 3197, 807, 2684, 311, 279, 11321, 11, 807, 48859, 264, 3753, 369, 1105, 311, 4717, 304, 369, 264, 5625, 315, 5555, 13, 1416, ...
[ 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 ]
21
36
61
answer_trajectory
What does the model currently think the answer is?
A
B) rudder. Because "ravenous" comes before "rudder" and "rudder" comes before "rise". Let me check the order. Let's see:
B) rudder
[ 151644, 872, 198, 23085, 3409, 1035, 498, 1477, 389, 264, 10997, 2150, 448, 279, 2701, 8474, 4244, 5267, 81, 80343, 481, 10000, 271, 32, 8, 14836, 198, 33, 8, 435, 56129, 271, 16141, 448, 279, 6524, 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 ]
6
128
5
answer_trajectory
What does the model currently think the answer is?
E
(number of J1 combinations + number of J2 combinations) divided by 84
uncertain
[ 151644, 872, 198, 13079, 11, 264, 29481, 11, 702, 220, 24, 60011, 315, 6177, 25, 220, 19, 525, 4158, 11, 220, 17, 525, 13753, 11, 323, 279, 2732, 525, 13876, 13, 3757, 686, 15963, 220, 18, 60011, 315, 6177, 1119, 264, 501, 5476, 3...
[ 33, 67, 101, 134, 168, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, 262, 267, 272, 277, 282, 287, 292, 297, 33, 67, 101, 134, 168, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, 262, 267, 272, 277, ...
[ 9, 18, 27 ]
21
277
7
answer_trajectory
What does the model currently think the answer is?
28
27. But since the average needs to be higher than 75%, the student needs to score more than 27. So, the lowest grade is 27.0... but since you can't have a fraction, maybe
27
[ 151644, 872, 198, 21634, 13, 59576, 71058, 3229, 279, 536, 429, 421, 279, 5461, 5456, 389, 862, 27124, 374, 5080, 1091, 220, 22, 20, 4, 1221, 807, 686, 633, 264, 22502, 4614, 13, 2619, 525, 220, 17, 20, 4143, 304, 279, 536, 13, 37...
[ 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 ]
118
205
58
answer_trajectory
What does the model currently think the answer is?
H
probably using the formula for liquids. Let me check
uncertain
[ 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, 279, 2297, 304, 83551, 4802, 315, 400, 18, 20, 1124, 91550, 90, 93, 70, 31716, 315...
[ 36, 73, 110, 147, 184, 221, 226, 231, 236, 241, 246, 251, 256, 261, 266, 271, 276, 281, 286, 291, 296, 301, 306, 311, 316, 36, 73, 110, 147, 184, 221, 226, 231, 236, 241, 246, 251, 256, 261, 266, 271, 276, 281, 286, 291, 296, ...
[ 9, 18, 27 ]
65
419
15
answer_trajectory
What does the model currently think the answer is?
D
130/6 m/s. Then converting that to kmph: multiply by 3.6
234
[ 151644, 872, 198, 32, 5426, 220, 16, 18, 15, 296, 1293, 16211, 264, 883, 11, 27173, 518, 220, 21, 13136, 759, 304, 279, 5106, 14002, 311, 429, 315, 279, 5426, 53688, 220, 21, 6486, 11568, 4628, 315, 279, 5426, 374, 271, 32, 8, 20,...
[ 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 ]
64
120
54
answer_trajectory
What does the model currently think the answer is?
E
25:54, which is option E. But wait, looking at the options, option E is "25 ratio 54", which is the same as 25:54. So that's E
E. 25:54
[ 151644, 872, 198, 2833, 315, 4143, 304, 93712, 362, 323, 425, 1033, 304, 279, 11341, 315, 220, 22, 549, 220, 16, 20, 15576, 304, 220, 17, 15, 16, 17, 13, 758, 220, 17, 15, 16, 18, 11, 279, 1372, 315, 4143, 304, 43698, 362, 7172,...
[ 22, 44, 67, 89, 111, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 22, 44, 67, 89, 111, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 21...
[ 9, 18, 27 ]
81
192
42
answer_trajectory
What does the model currently think the answer is?
D
:
uncertain
[ 151644, 872, 198, 5615, 3885, 429, 678, 44512, 525, 4727, 323, 429, 821, 8300, 311, 220, 17, 24, 23, 730, 7241, 5937, 10982, 13, 7379, 458, 7493, 369, 279, 48084, 4018, 35606, 315, 264, 6819, 429, 97402, 1047, 279, 23606, 315, 1584, ...
[ 50, 101, 152, 203, 254, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 50, 101, 152, 203, 254, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380...
[ 9, 18, 27 ]
243
523
46
answer_trajectory
What does the model currently think the answer is?
J
E) 150 ml. But let me check if the answer is J) 88 ml. Wait, maybe I miscalculated
E) 150 ml
[ 151644, 872, 198, 641, 916, 220, 24, 15, 4, 315, 5048, 11, 279, 19950, 315, 61672, 320, 34, 62, 17, 39, 62, 20, 46761, 11, 17457, 284, 220, 15, 13, 23, 15, 342, 59548, 8, 304, 6543, 5871, 311, 8193, 71715, 367, 374, 220, 15, 1...
[ 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
326
31
answer_trajectory
What does the model currently think the answer is?
A
not listed? But that can't be
uncertain
[ 151644, 872, 198, 1655, 6896, 1128, 882, 3267, 220, 23, 25, 15, 15, 686, 279, 9383, 323, 6460, 6078, 315, 458, 13382, 3238, 8866, 387, 23638, 76833, 311, 1817, 1008, 369, 279, 1156, 882, 1939, 32, 8, 17, 15, 220, 16, 18, 14, 17, ...
[ 21, 43, 65, 87, 109, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201, 206, 211, 216, 221, 226, 21, 43, 65, 87, 109, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 196, 201, 206, 21...
[ 9, 18, 27 ]
362
551
65
answer_trajectory
What does the model currently think the answer is?
B
Z = 740 / 3.7 = 200. So yes, that seems correct
200
[ 151644, 872, 198, 2679, 1599, 5221, 220, 17, 20, 4, 803, 1091, 809, 323, 809, 5221, 220, 17, 15, 4, 803, 1091, 1863, 11, 279, 4332, 315, 1863, 700, 315, 19215, 13, 220, 22, 19, 15, 686, 387, 1447, 32, 8, 42327, 13, 220, 18, 15...
[ 15, 30, 45, 60, 75, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 15, 30, 45, 60, 75, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 1...
[ 9, 18, 27 ]
70
136
52
answer_trajectory
What does the model currently think the answer is?
D
probably A or D or G
uncertain
[ 151644, 872, 198, 35, 88647, 1948, 391, 15975, 20773, 288, 437, 1015, 69, 21161, 6762, 32, 8, 5232, 15975, 20773, 288, 646, 2736, 30911, 774, 5746, 2041, 19511, 68803, 21161, 624, 33, 8, 5232, 15975, 20773, 288, 525, 279, 31799, 7586, ...
[ 50, 101, 152, 203, 254, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 50, 101, 152, 203, 254, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380...
[ 9, 18, 27 ]
72
340
21
answer_trajectory
What does the model currently think the answer is?
A
A)7/12
A. 7/12
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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 ]
227
325
70
answer_trajectory
What does the model currently think the answer is?
C
C
C
[ 151644, 872, 198, 641, 264, 1809, 315, 4031, 80460, 11, 362, 646, 2968, 425, 220, 17, 15, 3501, 304, 220, 21, 15, 323, 566, 646, 2968, 356, 220, 19, 15, 3501, 304, 220, 21, 15, 13, 2585, 1657, 3501, 646, 425, 2968, 356, 304, 264...
[ 14, 29, 43, 58, 72, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 14, 29, 43, 58, 72, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172...
[ 9, 18, 27 ]
330
381
86
answer_trajectory
What does the model currently think the answer is?
A
A. So I think the answer is A) QVOF
A. QVOF
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[ 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 ]
302
346
87
answer_trajectory
What does the model currently think the answer is?
E
(n-1)! So for n=5, 4! = 24. Which is E) 4*3! = 24
E. 24
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[ 9, 18, 27 ]
205
223
92
answer_trajectory
What does the model currently think the answer is?
2
the total cost minus the amount he has saved
uncertain
[ 151644, 872, 198, 2269, 404, 6801, 311, 3695, 264, 10997, 429, 7049, 400, 20, 11, 264, 62889, 2311, 429, 7049, 400, 16, 16, 11, 323, 264, 2841, 594, 76104, 429, 7049, 400, 20, 13, 1260, 702, 6781, 400, 16, 24, 504, 806, 40358, 13,...
[ 10, 21, 31, 42, 52, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 10, 21, 31, 42, 52, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 10, 21, 31, 42, 52, 63, 68, 73, ...
[ 9, 18, 27 ]
3
52
7
answer_trajectory
What does the model currently think the answer is?
E
G
uncertain
[ 151644, 872, 198, 3838, 374, 4345, 320, 2165, 68, 1697, 5918, 8, 39268, 1939, 32, 8, 19207, 39268, 374, 2661, 311, 7775, 369, 862, 869, 6786, 11, 537, 862, 584, 6786, 198, 33, 8, 19207, 39268, 374, 65599, 311, 678, 6961, 11186, 198,...
[ 34, 68, 102, 136, 170, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 34, 68, 102, 136, 170, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, ...
[ 9, 18, 27 ]
88
92
96
answer_trajectory
What does the model currently think the answer is?
D
D) Yes, because the prosecution should have an opportunity to investigate the merits of the alibi. But I'm not sure
D
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[ 74, 149, 224, 299, 374, 449, 454, 459, 464, 469, 474, 479, 484, 489, 494, 499, 504, 509, 514, 519, 524, 529, 534, 539, 544, 74, 149, 224, 299, 374, 449, 454, 459, 464, 469, 474, 479, 484, 489, 494, 499, 504, 509, 514, 519, 524...
[ 9, 18, 27 ]
135
207
65
answer_trajectory
What does the model currently think the answer is?
D
not there. Maybe the problem is wrong? Or maybe I need to check the options again?
uncertain
[ 151644, 872, 198, 785, 2629, 315, 279, 31340, 315, 279, 1156, 220, 16, 20, 6785, 25780, 320, 16, 61, 17, 488, 220, 17, 61, 17, 488, 220, 18, 61, 17, 488, 659, 659, 659, 488, 220, 16, 20, 61, 17, 8, 374, 6144, 311, 220, 16, 1...
[ 24, 48, 72, 96, 120, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 24, 48, 72, 96, 120, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 22...
[ 9, 18, 27 ]
285
367
77
answer_trajectory
What does the model currently think the answer is?
F
approximately 3.7%, which is closest to 4% (option F) or 3% (option H). Depending on the exact calculation
F
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[ 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 ]
109
326
33
answer_trajectory
What does the model currently think the answer is?
C
that the offer is terminated. So E would terminate the offer. Therefore, not the correct answer
E
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[ 48, 96, 144, 192, 240, 288, 293, 298, 303, 308, 313, 318, 323, 328, 333, 338, 343, 348, 353, 358, 363, 368, 373, 378, 383, 48, 96, 144, 192, 240, 288, 293, 298, 303, 308, 313, 318, 323, 328, 333, 338, 343, 348, 353, 358, 363, ...
[ 9, 18, 27 ]
64
121
53
answer_trajectory
What does the model currently think the answer is?
2
17? But the problem says he has $12
17
[ 151644, 872, 198, 60980, 279, 80300, 13629, 702, 400, 17, 15, 5802, 315, 6623, 18762, 13, 1260, 30778, 220, 18, 6623, 18762, 311, 72558, 13, 4636, 1340, 21241, 1435, 11, 566, 702, 400, 16, 17, 13, 2585, 1657, 6623, 18762, 1558, 12751,...
[ 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 ]
433
463
93
answer_trajectory
What does the model currently think the answer is?
A
15C = 18S => C/S = 18/15 => C/S = 6/5. Wait, no, let me check that again
uncertain
[ 151644, 872, 198, 785, 356, 1069, 315, 220, 16, 20, 6467, 374, 6144, 311, 279, 328, 1069, 315, 220, 16, 23, 6467, 13, 7379, 806, 8722, 4, 476, 4709, 4, 1939, 32, 8, 16, 21, 220, 17, 14, 18, 13744, 33, 8, 16, 21, 220, 17, 14,...
[ 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 ]
10
194
5
answer_trajectory
What does the model currently think the answer is?
A
166.25 km from A? But this contradicts the previous calculation. Where is the mistake?
uncertain
[ 151644, 872, 198, 34613, 1599, 2170, 7038, 504, 8056, 362, 518, 220, 16, 16, 264, 744, 13, 369, 8056, 425, 11, 892, 374, 220, 16, 23, 15, 13136, 773, 3041, 13, 26125, 809, 2170, 7038, 504, 8056, 425, 518, 220, 16, 16, 264, 744, ...
[ 32, 64, 96, 128, 160, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, 262, 267, 272, 277, 282, 287, 32, 64, 96, 128, 160, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, 262, 267, ...
[ 9, 18, 27 ]
459
623
73
answer_trajectory
What does the model currently think the answer is?
B
B)500
B. 500
[ 151644, 872, 198, 641, 264, 536, 1052, 525, 220, 17, 15, 13007, 323, 220, 17, 20, 7571, 13, 758, 1246, 1657, 5510, 646, 264, 8171, 323, 264, 3743, 387, 4091, 1939, 32, 8, 19, 15, 15, 198, 33, 8, 20, 15, 15, 198, 34, 8, 21, 1...
[ 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 ]
18
65
29
answer_trajectory
What does the model currently think the answer is?
E
2 right angles = 2*90 = 180 degrees. If someone thought that 1 degree is 1 minute, then 180 minutes. But 180 is not in the options. Wait, the
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 ]
153
533
28
answer_trajectory
What does the model currently think the answer is?
A
A. So I think the answer is A
A
[ 151644, 872, 198, 2679, 308, 71114, 264, 1372, 311, 279, 2115, 315, 220, 15, 389, 279, 1372, 1555, 1741, 429, 279, 9334, 315, 308, 374, 2686, 1091, 220, 16, 14, 24, 11, 1221, 279, 86198, 315, 308, 1969, 387, 271, 32, 8, 27451, 109...
[ 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 ]
142
218
65
answer_trajectory
What does the model currently think the answer is?
C. 61
not listed, but if I have to choose, I might have to select C)61, but this is incorrect. Alternatively, the correct answer is 40, which is not listed
uncertain
[ 151644, 872, 198, 785, 5461, 4231, 315, 264, 9972, 11, 7403, 323, 862, 1682, 220, 18, 1635, 4134, 572, 220, 17, 22, 1635, 323, 429, 315, 7403, 323, 279, 1682, 220, 20, 1635, 4134, 572, 220, 17, 15, 1635, 13, 576, 3042, 4231, 315, ...
[ 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 ]
682
687
99
answer_trajectory
What does the model currently think the answer is?
A
2^3 * 5^2. Correct
250
[ 151644, 872, 198, 4854, 8168, 315, 220, 17, 15, 15, 374, 1640, 17433, 389, 1181, 1828, 12188, 4935, 11, 323, 678, 315, 279, 20332, 525, 9099, 304, 264, 29595, 13, 1416, 264, 4935, 374, 26618, 4091, 504, 279, 29595, 11, 1128, 374, 27...
[ 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 ]
148
390
38
answer_trajectory
What does the model currently think the answer is?
D
E) 500(π - 1). But how?
E. 500(π - 1)
[ 151644, 872, 198, 32, 1290, 26931, 34564, 702, 264, 2608, 315, 220, 17, 17, 323, 264, 10578, 315, 220, 20, 13, 362, 51424, 6437, 448, 264, 2608, 315, 220, 16, 20, 323, 264, 9334, 2331, 11, 374, 9099, 304, 279, 34564, 1741, 429, 18...
[ 24, 49, 74, 98, 123, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 24, 49, 74, 98, 123, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 22...
[ 9, 18, 27 ]
467
755
61
answer_trajectory
What does the model currently think the answer is?
4800
240 kg * $20/kg = $4800
4800
[ 151644, 872, 198, 49454, 64, 6305, 3143, 264, 21800, 1380, 1429, 24914, 4559, 7640, 438, 862, 1887, 2530, 315, 7911, 11, 27644, 400, 17, 15, 817, 20972, 315, 7640, 13, 2932, 5780, 700, 19948, 3351, 323, 37834, 10917, 438, 1657, 7640, ...
[ 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 ]
56
106
53
answer_trajectory
What does the model currently think the answer is?
A
A because "it" is vague. But let me check option B
A
[ 151644, 872, 198, 23085, 315, 279, 2701, 5610, 264, 39046, 18613, 1624, 5785, 1939, 32, 8, 3197, 71423, 20368, 55998, 422, 610, 927, 42950, 11, 432, 1053, 429, 807, 646, 387, 2805, 67379, 11, 9067, 67379, 11, 476, 1293, 67379, 624, 33...
[ 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 ]
17
35
51
answer_trajectory
What does the model currently think the answer is?
F
D or F. But I need to check the exact terminology
D
[ 151644, 872, 198, 32, 883, 323, 264, 5220, 525, 31415, 8549, 879, 1486, 15502, 13, 7996, 6058, 11, 279, 883, 42478, 323, 11052, 1393, 2732, 70091, 29587, 35210, 518, 975, 13, 576, 883, 374, 69407, 279, 29587, 3553, 369, 25129, 11, 204...
[ 38, 76, 114, 152, 190, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298, 303, 308, 313, 318, 323, 38, 76, 114, 152, 190, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298, 303, ...
[ 9, 18, 27 ]
62
132
47
answer_trajectory
What does the model currently think the answer is?
A
C: Yes, because the adjuster intentionally misled the pedestrian about his legal rights
C. Yes
[ 151644, 872, 198, 32, 46754, 572, 26638, 279, 8592, 979, 566, 572, 4201, 553, 264, 1803, 13, 576, 46754, 16256, 264, 12975, 10895, 13, 576, 5579, 315, 279, 1803, 429, 4201, 279, 46754, 1030, 3233, 8113, 13, 362, 8186, 7500, 261, 504, ...
[ 68, 137, 206, 275, 344, 413, 418, 423, 428, 433, 438, 443, 448, 453, 458, 463, 468, 473, 478, 483, 488, 493, 498, 503, 508, 68, 137, 206, 275, 344, 413, 418, 423, 428, 433, 438, 443, 448, 453, 458, 463, 468, 473, 478, 483, 488...
[ 9, 18, 27 ]
101
153
66
answer_trajectory
What does the model currently think the answer is?
47000
$47,000
47000
[ 151644, 872, 198, 13079, 27627, 311, 5046, 264, 6957, 6918, 13, 220, 1084, 2783, 400, 17, 15, 11, 15, 15, 15, 311, 5046, 714, 566, 5221, 264, 220, 17, 15, 4, 11089, 13, 220, 1260, 14816, 806, 1156, 6957, 714, 1172, 13598, 220, 24,...
[ 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 ]
49
66
75
answer_trajectory
What does the model currently think the answer is?
C. 97
C)97. But let me check again with more precise calculation
C. 97
[ 151644, 872, 198, 785, 10486, 315, 264, 12671, 702, 10578, 315, 220, 17, 16, 9961, 323, 8622, 9210, 220, 16, 20, 15, 78, 13, 7379, 1181, 46342, 1939, 32, 8, 24, 16, 13, 20, 198, 33, 8, 24, 16, 13, 19, 198, 34, 8, 24, 22, 198...
[ 11, 23, 35, 47, 59, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 11, 23, 35, 47, 59, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 16...
[ 9, 18, 27 ]
98
387
25
answer_trajectory
What does the model currently think the answer is?
C
14 * 85. Let me compute 14 * 85. 10*85=850, 4*85=340. Adding them together: 850 +
14 * 85 = 1190
[ 151644, 872, 198, 32, 883, 49531, 274, 10775, 369, 400, 16, 19, 15, 15, 323, 30778, 432, 518, 264, 4709, 315, 220, 16, 20, 14360, 3555, 374, 279, 11236, 3349, 315, 279, 10775, 1939, 32, 15087, 24, 20, 15, 198, 33, 15087, 16, 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 ]
51
63
82
answer_trajectory
What does the model currently think the answer is?
C
C)1/5. So I think that's correct. Let me check the options again. The options are A)1/6, B)1/1, C)1/5, D)1/9, E)1
C. 1/5
[ 151644, 872, 198, 2679, 4743, 11186, 2444, 304, 264, 2802, 11, 1221, 279, 18927, 429, 2326, 3953, 11186, 525, 2677, 3786, 374, 1939, 32, 8, 16, 14, 21, 198, 33, 8, 16, 14, 16, 198, 34, 8, 16, 14, 20, 198, 35, 8, 16, 14, 24, ...
[ 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 ]
115
186
62
answer_trajectory
What does the model currently think the answer is?
G
G
uncertain
[ 151644, 872, 198, 32, 68845, 448, 425, 304, 264, 825, 29208, 12720, 311, 2968, 356, 13, 576, 4379, 6783, 369, 279, 12720, 374, 220, 17, 13, 15, 24768, 220, 16, 15, 49309, 18, 386, 49309, 16, 5701, 49309, 16, 13, 1416, 220, 15, 13,...
[ 41, 83, 124, 166, 207, 249, 254, 259, 264, 269, 274, 279, 284, 289, 294, 299, 304, 309, 314, 319, 324, 329, 334, 339, 344, 41, 83, 124, 166, 207, 249, 254, 259, 264, 269, 274, 279, 284, 289, 294, 299, 304, 309, 314, 319, 324, ...
[ 9, 18, 27 ]
60
71
85
answer_trajectory
What does the model currently think the answer is?
11111111100
11111111100? But maybe there is a smaller number with more digits? For example, if we have 18 ones and more zeros, but arranged in a way that the number is smaller?
uncertain
[ 151644, 872, 198, 3838, 374, 279, 24632, 6785, 5248, 315, 220, 19, 20, 15, 6693, 18509, 525, 678, 97443, 323, 6174, 30, 151645, 198, 151644, 77091, 198, 32313, 11, 773, 358, 1184, 311, 1477, 279, 24632, 6785, 5248, 315, 220, 19, 20, ...
[ 4, 9, 13, 18, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 4, 9, 13, 18, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 4, 9, ...
[ 9, 18, 27 ]
174
590
29
answer_trajectory
What does the model currently think the answer is?
C. 3
that p is an integer, which we already knew
uncertain
[ 151644, 872, 198, 50, 374, 279, 23809, 8500, 328, 16, 284, 220, 17, 11, 328, 17, 284, 220, 17, 17, 11, 328, 18, 284, 220, 17, 17, 17, 28675, 19290, 284, 4818, 4142, 16, 488, 220, 17, 7, 16, 15, 74, 4142, 16, 568, 1416, 281, ...
[ 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 ]
261
353
74
answer_trajectory
What does the model currently think the answer is?
28
going to depend on the total points that these 24 students have, and then we need to find out what the absent student needs to score so that when we add their score to the total, the average of all 25 students is above
uncertain
[ 151644, 872, 198, 21634, 13, 59576, 71058, 3229, 279, 536, 429, 421, 279, 5461, 5456, 389, 862, 27124, 374, 5080, 1091, 220, 22, 20, 4, 1221, 807, 686, 633, 264, 22502, 4614, 13, 2619, 525, 220, 17, 20, 4143, 304, 279, 536, 13, 37...
[ 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 ]
7
205
3
answer_trajectory
What does the model currently think the answer is?
C
not determinable with the given information. But since the user is expecting an answer, maybe there was a typo in the problem. For example, if the original average age was 16, then answer is C)20. If the original
uncertain
[ 151644, 872, 198, 785, 5461, 4231, 315, 264, 1874, 315, 11186, 2087, 369, 54462, 374, 1635, 13, 43856, 501, 11186, 448, 458, 5461, 4231, 315, 220, 16, 20, 1635, 5138, 279, 1874, 389, 279, 7702, 4152, 311, 892, 862, 5461, 4231, 9044, ...
[ 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 ]
147
354
41
answer_trajectory
What does the model currently think the answer is?
E
20,000 / 1650. Let me do the division
20000 / 1650
[ 151644, 872, 198, 16, 15, 15, 15, 2953, 614, 19156, 369, 220, 17, 15, 2849, 13, 1416, 220, 21, 20, 15, 803, 2953, 5138, 1105, 11, 369, 1246, 1657, 2849, 686, 279, 19156, 1537, 1431, 1939, 32, 8, 16, 17, 13, 24, 198, 33, 8, 16,...
[ 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 ]
19
321
6
answer_trajectory
What does the model currently think the answer is?
C
C) volcanic eruptions. Wait, volcanic eruptions can release ash and particles into the atmosphere. These particles can be transported by wind and settle in ice layers. So, when scientists find volcanic ash or other particles in ice cores, they can correlate
C. volcanic eruptions
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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 ]
17
53
33
answer_trajectory
What does the model currently think the answer is?
D
likely D) excitement or C) stress. Which is more common?
D
[ 151644, 872, 198, 1519, 374, 7167, 975, 518, 806, 1156, 2618, 13, 220, 3555, 374, 566, 8266, 1939, 32, 8, 21975, 198, 33, 8, 40119, 198, 34, 8, 8464, 198, 35, 8, 27262, 198, 36, 8, 3238, 271, 16141, 448, 279, 6524, 13, 151645, 1...
[ 8, 16, 24, 32, 40, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 8, 16, 24, 32, 40, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, ...
[ 9, 18, 27 ]
23
86
27
answer_trajectory
What does the model currently think the answer is?
D
likely the third pharyngeal arch. Wait, but I'm not sure
third pharyngeal arch
[ 151644, 872, 198, 32, 220, 19, 22, 4666, 6284, 8778, 36671, 288, 264, 52960, 71683, 369, 6380, 315, 79058, 6, 8457, 13, 3877, 58555, 7887, 11, 1340, 6682, 264, 11386, 2583, 7743, 323, 16829, 12094, 13, 1446, 15207, 429, 419, 374, 4363...
[ 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 ]
97
192
51
answer_trajectory
What does the model currently think the answer is?
6
6. However, let me check if x=6 is in the interval [n, n+1) where the floor function is consistent. For x=6, it's the left endpoint of [6,7). So for x=
uncertain
[ 151644, 872, 198, 9885, 279, 7772, 400, 87, 3, 12, 957, 518, 892, 279, 38999, 315, 400, 69, 2075, 11730, 68, 47822, 18, 87, 61, 17, 12, 22957, 11008, 3993, 856, 1124, 8052, 3993, 91, 0, 92, 41715, 6863, 316, 90, 17, 17, 10, 22, ...
[ 38, 77, 115, 154, 192, 231, 236, 241, 246, 251, 256, 261, 266, 271, 276, 281, 286, 291, 296, 301, 306, 311, 316, 321, 326, 38, 77, 115, 154, 192, 231, 236, 241, 246, 251, 256, 261, 266, 271, 276, 281, 286, 291, 296, 301, 306, ...
[ 9, 18, 27 ]
112
239
47
answer_trajectory
What does the model currently think the answer is?
B
B)1. Wait, but let me check with another approach. Let me think of 57 divided by 5000. Since 5000 is 5*10^3, so 57 divided by
B. 1
[ 151644, 872, 198, 3838, 374, 279, 16183, 16896, 15723, 304, 279, 12122, 13578, 315, 220, 20, 22, 14, 20, 15, 15, 15, 1939, 32, 8, 15, 198, 33, 8, 16, 198, 34, 8, 18, 198, 35, 8, 20, 198, 36, 8, 21, 271, 16141, 448, 279, 6524...
[ 8, 17, 26, 35, 44, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 8, 17, 26, 35, 44, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, ...
[ 9, 18, 27 ]
79
125
64
answer_trajectory
What does the model currently think the answer is?
C
not among the options? That can't be. So I must have made a mistake. Let me check again
uncertain
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[ 9, 18, 27 ]
87
352
25
answer_trajectory
What does the model currently think the answer is?
H
H. Because punishment is effective when it's intense and combined with teaching new behaviors. That makes sense because punishment alone might not teach the right behavior, but when paired with learning new responses, it's more effective. Also, I remember that punishment can
H
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[ 9, 18, 27 ]
18
59
32
answer_trajectory
What does the model currently think the answer is?
83
the total goal minus the cans he has already collected. So, first, I need to add up the cans he collected in both weeks. Let me do that. 158 plus 259. Hmm, let me add them step
uncertain
[ 151644, 872, 198, 42, 3779, 268, 374, 25895, 42632, 315, 19174, 369, 279, 2205, 19174, 9780, 13, 1260, 51207, 220, 16, 20, 23, 42632, 2337, 806, 1156, 2003, 323, 220, 17, 20, 24, 2337, 279, 2086, 2003, 13, 1416, 806, 5795, 374, 311,...
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[ 9, 18, 27 ]
4
67
7
answer_trajectory
What does the model currently think the answer is?
A
0? But let me think again. Is there a case where this might not hold?
0
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[ 9, 18, 27 ]
52
166
31
answer_trajectory
What does the model currently think the answer is?
C
B) 6.1 percent. Wait, but how?
B. 6.1 percent
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[ 9, 18, 27 ]
253
367
69
answer_trajectory
What does the model currently think the answer is?
B
A(n) = 2^n + 1. Therefore, A(66) - A(65) = [2^{66} + 1] - [2^{65} + 1] = 2^{
2^{65}
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[ 17, 34, 51, 68, 85, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 17, 34, 51, 68, 85, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182,...
[ 9, 18, 27 ]
63
274
23
answer_trajectory
What does the model currently think the answer is?
A
that the new supervisor's salary is same as the old one? But that's not an option. Wait, but the options include 870, which was the old supervisor's salary. But maybe there's a miscalculation here
uncertain
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[ 9, 18, 27 ]
31
344
9
answer_trajectory
What does the model currently think the answer is?
D
not A. Wait, but the question is about preventing interspecific breeding. If two species are geographically isolated, they might not even come into contact, so they can't breed. So geographic isolation is a prezygotic barrier, which prevents
geographic isolation
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[ 9, 18, 27 ]
10
37
29
answer_trajectory
What does the model currently think the answer is?
B
B. But I'm confused because sometimes these questions can be tricky. Let me check again. If the question is asking where they need to have the equipment, like where they would need to purchase it, then E. If it's where they use
B
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[ 9, 18, 27 ]
57
74
78
answer_trajectory
What does the model currently think the answer is?
\frac{1}{4}
1/4. However, to resolve the discrepancy, let me think again
uncertain
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[ 9, 18, 27 ]
639
643
99
answer_trajectory
What does the model currently think the answer is?
C
10,000 divided by 220. Let me simplify this fraction
10000/220
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[ 9, 18, 27 ]
261
318
82
answer_trajectory
What does the model currently think the answer is?
D
1400 kmph. But since that's not in the options, maybe there's a typo in the problem? For example, if the original time was 5 hours, but the answer options are different. Wait, maybe the original
uncertain
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[ 9, 18, 27 ]
82
362
22
answer_trajectory
What does the model currently think the answer is?
119
119. Yep, that's correct
119
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[ 9, 18, 27 ]
93
98
95