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
A)6500. But let me check again
A. 6500
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[ 18, 36, 54, 72, 90, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 18, 36, 54, 72, 90, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189,...
[ 9, 18, 27 ]
128
405
31
answer_trajectory
What does the model currently think the answer is?
E
not possible with the given data. But since the problem is given, maybe I need to check again
uncertain
[ 151644, 872, 198, 32, 646, 653, 264, 6573, 315, 975, 304, 220, 16, 17, 2849, 13, 1260, 6439, 369, 220, 16, 20, 2849, 323, 1221, 425, 8145, 279, 9664, 975, 304, 220, 16, 15, 2849, 13, 11733, 315, 1105, 3786, 686, 6248, 432, 304, ...
[ 17, 35, 52, 70, 87, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 17, 35, 52, 70, 87, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185,...
[ 9, 18, 27 ]
266
576
46
answer_trajectory
What does the model currently think the answer is?
F
P = [nRT/(V - nb)] - [a n² / V²]
uncertain
[ 151644, 872, 198, 641, 458, 12785, 1882, 11, 46403, 374, 31713, 311, 400, 20, 15, 15, 1124, 91550, 90, 93, 42, 31716, 518, 264, 6783, 8123, 315, 400, 16, 13, 15, 15, 15, 1124, 91550, 90, 93, 76, 92, 61, 18, 12947, 576, 6819, 288...
[ 48, 97, 145, 194, 242, 291, 296, 301, 306, 311, 316, 321, 326, 331, 336, 341, 346, 351, 356, 361, 366, 371, 376, 381, 386, 48, 97, 145, 194, 242, 291, 296, 301, 306, 311, 316, 321, 326, 331, 336, 341, 346, 351, 356, 361, 366, ...
[ 9, 18, 27 ]
81
343
23
answer_trajectory
What does the model currently think the answer is?
B
2d = 2*292.5 = 585. So option B. That seems right
B. 585
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[ 9, 18, 27 ]
41
70
60
answer_trajectory
What does the model currently think the answer is?
D
not matching. Therefore, my assumption that the square base is inscribed in the cylinder's cross-section is wrong. Maybe the solid is not placed with its base in the horizontal plane? Maybe it's placed diagonally inside the cylinder?
uncertain
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[ 9, 18, 27 ]
162
755
21
answer_trajectory
What does the model currently think the answer is?
F
not listed, but since the closest option is F) 154 ml or C) 175 ml, and my calculation is 163 ml, which is closer to 154 ml (difference of 9 ml
F
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[ 27, 55, 82, 110, 137, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 27, 55, 82, 110, 137, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, ...
[ 9, 18, 27 ]
353
542
65
answer_trajectory
What does the model currently think the answer is?
F
F) 140 atm
140
[ 151644, 872, 198, 641, 458, 12785, 1882, 11, 46403, 374, 31713, 311, 400, 20, 15, 15, 1124, 91550, 90, 93, 42, 31716, 518, 264, 6783, 8123, 315, 400, 16, 13, 15, 15, 15, 1124, 91550, 90, 93, 76, 92, 61, 18, 12947, 576, 6819, 288...
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[ 9, 18, 27 ]
256
343
74
answer_trajectory
What does the model currently think the answer is?
C
C) drenching. Because when you submerge clothing in water, the water drenches the clothes, meaning it soaks them thoroughly. Drenching is a noun here, but the question is phrased as "what does water
C) drenching
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[ 9, 18, 27 ]
12
38
34
answer_trajectory
What does the model currently think the answer is?
E
F? Or maybe C?
F
[ 151644, 872, 198, 34762, 5302, 614, 43877, 6872, 96676, 19040, 504, 1660, 47884, 311, 4879, 279, 5036, 315, 26193, 8173, 13, 4695, 11, 7992, 11, 1212, 18894, 46238, 7262, 504, 279, 3493, 11, 54625, 311, 46947, 13240, 54744, 26500, 894, ...
[ 51, 102, 153, 204, 255, 306, 311, 316, 321, 326, 331, 336, 341, 346, 351, 356, 361, 366, 371, 376, 381, 386, 391, 396, 401, 51, 102, 153, 204, 255, 306, 311, 316, 321, 326, 331, 336, 341, 346, 351, 356, 361, 366, 371, 376, 381...
[ 9, 18, 27 ]
160
189
85
answer_trajectory
What does the model currently think the answer is?
E
E
E
[ 151644, 872, 198, 11613, 60395, 11, 27586, 323, 28693, 11, 614, 11105, 264, 54462, 323, 525, 12678, 96577, 1182, 311, 279, 22268, 483, 13, 28693, 3643, 10917, 438, 1657, 22466, 323, 23377, 825, 323, 264, 4279, 3039, 438, 1657, 96577, 81...
[ 18, 36, 54, 72, 90, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 18, 36, 54, 72, 90, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189,...
[ 9, 18, 27 ]
177
197
90
answer_trajectory
What does the model currently think the answer is?
A
51 minutes. However, if you do 26 cycles, you have 78 meters, which is more than 75 meters. So, why would you need 26 cycles?
uncertain
[ 151644, 872, 198, 641, 29508, 264, 4778, 25026, 315, 220, 23, 15, 20044, 2608, 11, 264, 38703, 76411, 220, 20, 20044, 304, 264, 9383, 323, 67654, 220, 17, 198, 76, 2424, 304, 279, 24609, 9383, 13, 2014, 633, 311, 279, 1909, 315, 279...
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[ 9, 18, 27 ]
265
422
63
answer_trajectory
What does the model currently think the answer is?
A
A
A
[ 151644, 872, 198, 4340, 646, 498, 8253, 3425, 476, 537, 264, 2661, 7042, 374, 304, 18929, 55311, 1939, 32, 8, 23768, 14862, 33773, 323, 79185, 33773, 315, 1378, 21787, 624, 33, 8, 54115, 279, 7042, 594, 2033, 311, 12158, 8464, 198, 34...
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[ 9, 18, 27 ]
84
98
86
answer_trajectory
What does the model currently think the answer is?
C
C) Historical. The Historical School of jurisprudence emphasizes the development of law through social traditions and customs over time. They believe that law is not just a set of rules but is rooted in the historical and cultural context of a society. This align
C) Historical
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[ 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 ]
40
52
78
answer_trajectory
What does the model currently think the answer is?
B
not in the options. But since the options are given, maybe I need to check if there is a miscalculation
uncertain
[ 151644, 872, 198, 32, 2906, 702, 3949, 220, 21, 15, 4, 315, 279, 3311, 432, 3880, 369, 264, 501, 4752, 553, 12308, 264, 24923, 315, 400, 18, 15, 15, 1817, 504, 1251, 2669, 29744, 1608, 13, 8853, 2669, 29744, 1608, 4009, 220, 19, 1...
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[ 9, 18, 27 ]
248
606
41
answer_trajectory
What does the model currently think the answer is?
D
the number of people in Group A assigned to ABC plus the number of people in Group B (33 people who prefer ABC) assigned to XYZ
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,...
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[ 9, 18, 27 ]
30
605
5
answer_trajectory
What does the model currently think the answer is?
D
D) 240. Let me check again to be sure
D. 240
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[ 9, 18, 27 ]
33
66
51
answer_trajectory
What does the model currently think the answer is?
C
probably C or B. But I need to think more
C
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[ 9, 18, 27 ]
26
73
36
answer_trajectory
What does the model currently think the answer is?
A
2 is average of 1 and 3? (1+3)/2=2. Yes! So 2 is average of 1 and 3. So valid
valid
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[ 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 ]
128
541
23
answer_trajectory
What does the model currently think the answer is?
A
A
A
[ 151644, 872, 198, 2461, 894, 7546, 281, 11, 353, 79, 374, 6144, 311, 279, 1985, 315, 678, 279, 25780, 1948, 220, 16, 323, 281, 11, 28308, 13, 2585, 1657, 10250, 5109, 525, 1052, 1948, 353, 19, 488, 220, 18, 323, 353, 19, 488, 220,...
[ 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 ]
84
114
74
answer_trajectory
What does the model currently think the answer is?
C
to buy as many two dozens as possible, then dozens, then individual
uncertain
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[ 9, 18, 27 ]
304
686
44
answer_trajectory
What does the model currently think the answer is?
C
definitely C
C
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[ 9, 18, 27 ]
158
166
95
answer_trajectory
What does the model currently think the answer is?
B
B
B
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[ 9, 18, 27 ]
147
149
99
answer_trajectory
What does the model currently think the answer is?
C
30 + 15 + (minimum matches in semifinal and final)
uncertain
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[ 9, 18, 27 ]
234
456
51
answer_trajectory
What does the model currently think the answer is?
B
that the total arrows used is equal to x. So:
uncertain
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[ 9, 18, 27 ]
27
143
19
answer_trajectory
What does the model currently think the answer is?
A
A)10
A. 10
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[ 9, 18, 27 ]
161
216
75
answer_trajectory
What does the model currently think the answer is?
B
25 and -20. So, the equation factors as (x + 25)(x - 20) = 0
uncertain
[ 151644, 872, 198, 785, 6672, 1948, 1378, 25780, 374, 220, 20, 13, 10964, 1985, 374, 220, 20, 15, 15, 13, 7379, 279, 5109, 382, 32, 8, 16, 20, 11, 220, 17, 15, 198, 33, 8, 17, 15, 11, 220, 17, 20, 198, 34, 8, 18, 15, 11, 22...
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[ 9, 18, 27 ]
18
63
30
answer_trajectory
What does the model currently think the answer is?
B
probably not 12 gallons because that's way too big. A coffee pot, even a large one, wouldn't hold 12 gallons. That's like a huge container, maybe for a whole house's water supply. So that's probably
uncertain
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[ 9, 18, 27 ]
14
63
23
answer_trajectory
What does the model currently think the answer is?
C
\boxed{C}
C
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[ 9, 18, 27 ]
225
226
100
answer_trajectory
What does the model currently think the answer is?
G
about controlling the response by limiting the situations where the behavior occurs. So, response control (B) might be the answer. But wait, what's response control exactly?
B
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[ 9, 18, 27 ]
49
74
67
answer_trajectory
What does the model currently think the answer is?
9:24
not here
uncertain
[ 151644, 872, 198, 19641, 7337, 525, 3238, 311, 3931, 279, 12408, 13, 33086, 1599, 646, 3931, 264, 4916, 1449, 220, 16, 21, 1308, 11, 33086, 809, 1449, 220, 18, 17, 1308, 323, 33086, 356, 1449, 220, 17, 19, 1308, 13, 1416, 807, 1191,...
[ 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 ]
146
268
54
answer_trajectory
What does the model currently think the answer is?
13
20 minus the total number of eggs he ate. Let me check that again. He had 20 eggs initially. He ate 4 in the morning and 3 in the afternoon. So, the total number of eggs he ate is
9
[ 151644, 872, 198, 24566, 702, 220, 17, 15, 18805, 304, 279, 37581, 13, 60033, 11, 566, 29812, 220, 19, 18805, 304, 279, 6556, 323, 220, 18, 304, 279, 13354, 13, 2585, 1657, 18805, 1558, 7355, 614, 1431, 30, 151645, 198, 151644, 77091,...
[ 7, 14, 21, 28, 35, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 105, 7, 14, 21, 28, 35, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 105, 7, 14, 21, 28, 35, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88,...
[ 9, 18, 27 ]
3
50
8
answer_trajectory
What does the model currently think the answer is?
D
D) $1525.77
D. 1525.77
[ 151644, 872, 198, 3430, 6308, 1176, 39245, 13, 3949, 264, 220, 21, 22289, 82, 5185, 389, 3217, 220, 16, 22, 369, 400, 16, 20, 15, 15, 18043, 2734, 518, 220, 21, 14360, 1084, 572, 47674, 518, 220, 23, 4, 389, 6122, 220, 17, 17, 1...
[ 28, 56, 85, 113, 141, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 28, 56, 85, 113, 141, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, ...
[ 9, 18, 27 ]
190
226
84
answer_trajectory
What does the model currently think the answer is?
C
C? Wait, no. Wait, mitochondria themselves are membrane-bound organelles. But the question is about their properties. Wait, the hypothesis is that mitochondria were once prokaryotic organisms. Prokaryotes don't have internal
uncertain
[ 151644, 872, 198, 23085, 3343, 11554, 279, 30078, 429, 384, 3101, 658, 14212, 53942, 4204, 1033, 3055, 462, 74, 658, 14212, 43204, 1939, 32, 8, 2379, 6853, 18929, 3684, 624, 33, 8, 2379, 6853, 264, 16953, 315, 3852, 1403, 624, 34, 8, ...
[ 12, 24, 37, 49, 61, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 12, 24, 37, 49, 61, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 16...
[ 9, 18, 27 ]
16
130
13
answer_trajectory
What does the model currently think the answer is?
A
300 seconds, which is not in the options. So, perhaps the options are wrong, or there is a mistake in the problem
uncertain
[ 151644, 872, 198, 11613, 80031, 1191, 389, 264, 26931, 3754, 504, 264, 2661, 1459, 714, 304, 14002, 5106, 448, 24722, 315, 220, 22, 76, 2687, 323, 220, 23, 76, 2687, 13, 1416, 279, 74926, 315, 279, 12671, 374, 220, 18, 15, 15, 76, ...
[ 15, 31, 47, 63, 79, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 15, 31, 47, 63, 79, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, ...
[ 9, 18, 27 ]
394
703
56
answer_trajectory
What does the model currently think the answer is?
2050
$2050
2050
[ 151644, 872, 198, 13079, 5221, 806, 7314, 27722, 1449, 220, 18, 2849, 13, 220, 1084, 2783, 400, 16, 20, 15, 1817, 882, 323, 566, 6696, 279, 7412, 264, 220, 16, 15, 4, 11552, 1817, 882, 566, 4041, 311, 4240, 13, 220, 5005, 10917, 2...
[ 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 ]
93
137
68
answer_trajectory
What does the model currently think the answer is?
E
not matching. Maybe my assumption is wrong
uncertain
[ 151644, 872, 198, 785, 36795, 12, 2132, 86026, 6757, 3701, 7460, 8160, 315, 825, 54441, 339, 315, 279, 8172, 1817, 2254, 11, 3156, 448, 458, 2734, 6757, 315, 220, 16, 7, 16, 14, 17, 8, 14360, 2585, 1753, 1969, 387, 7171, 389, 264, ...
[ 45, 91, 137, 183, 229, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 45, 91, 137, 183, 229, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, ...
[ 9, 18, 27 ]
120
319
37
answer_trajectory
What does the model currently think the answer is?
C
approximately 8.15%, which is not listed in the options. However, looking at the options, option C is 8.0516%, which is close to 8.05%, but not 8.15
uncertain
[ 151644, 872, 198, 2610, 525, 9831, 311, 3695, 264, 501, 5662, 369, 400, 16, 11, 15, 15, 15, 1576, 432, 686, 3581, 498, 400, 16, 20, 15, 29071, 369, 279, 1790, 220, 16, 15, 1635, 13, 3555, 374, 279, 4379, 315, 470, 389, 419, 9162...
[ 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 ]
342
426
80
answer_trajectory
What does the model currently think the answer is?
C
C
C
[ 151644, 872, 198, 4340, 1293, 374, 264, 2802, 37765, 1939, 32, 8, 220, 19, 8756, 198, 33, 8, 220, 19, 7541, 198, 34, 8, 220, 19, 13692, 198, 35, 8, 220, 19, 14924, 271, 16141, 448, 279, 6524, 13, 151645, 198, 151644, 77091, 198, ...
[ 7, 14, 22, 29, 36, 44, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 7, 14, 22, 29, 36, 44, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 7,...
[ 9, 18, 27 ]
131
132
100
answer_trajectory
What does the model currently think the answer is?
G
G) 88.33
G. 88.33
[ 151644, 872, 198, 2679, 264, 5591, 21241, 264, 400, 20, 45880, 419, 1042, 11, 323, 279, 45880, 702, 1012, 7826, 220, 21, 4, 29071, 11, 1128, 686, 387, 279, 5591, 748, 46601, 897, 11, 25538, 264, 2567, 4379, 315, 470, 315, 220, 16, ...
[ 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 ]
33
74
45
answer_trajectory
What does the model currently think the answer is?
D. 6199
P = 441 / [ (1 + 0.07/2)^(2*1) - 1 ]
441 / [ (1 + 0.035)^2 - 1 ]
[ 151644, 872, 198, 47866, 279, 3311, 429, 458, 29593, 3880, 311, 387, 2725, 311, 7232, 400, 19, 19, 16, 304, 2734, 304, 220, 16, 17, 3951, 421, 279, 29593, 6649, 311, 2725, 856, 11192, 304, 264, 18986, 2692, 429, 21241, 2734, 518, 45...
[ 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 ]
12
420
3
answer_trajectory
What does the model currently think the answer is?
A
N=1120. Then the sum of the digits of N is 1 + 1 + 2 + 0 = 4. Which is option A)4. But wait, the options given are A)4, B
A. 4
[ 151644, 872, 198, 45, 374, 279, 12196, 1372, 892, 64828, 220, 16, 18, 15, 20, 11, 220, 19, 21, 21, 20, 323, 220, 21, 24, 15, 20, 323, 6696, 279, 1852, 26313, 304, 1817, 1142, 13, 3555, 374, 279, 2629, 315, 279, 18509, 304, 451, ...
[ 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 ]
68
325
21
answer_trajectory
What does the model currently think the answer is?
D
that the fugacity coefficient can be calculated using the integral of (Z - 1)/P dP, which for this equation of state, after some manipulation, leads to an expression involving B and C
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 ]
279
523
53
answer_trajectory
What does the model currently think the answer is?
B
not among the options? But that can't be. Maybe I made a mistake in the calculation?
uncertain
[ 151644, 872, 198, 32, 883, 323, 806, 7403, 4994, 304, 458, 7128, 369, 1378, 66651, 304, 279, 1852, 1736, 13, 576, 18927, 315, 9972, 594, 6589, 374, 320, 16, 14, 22, 8, 323, 279, 18927, 35615, 48826, 220, 16, 311, 220, 17, 15, 525,...
[ 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 ]
71
300
24
answer_trajectory
What does the model currently think the answer is?
A
either A or D. Let me check some sources. Apoptosis is a process that occurs in animal cells, and plants have a different form of programmed cell death. So D is incorrect. Therefore, the answer is D. But wait, the
A
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[ 16, 32, 48, 64, 80, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 16, 32, 48, 64, 80, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, ...
[ 9, 18, 27 ]
72
145
50
answer_trajectory
What does the model currently think the answer is?
A
1300*5=6500. So answer A
A. 6500
[ 151644, 872, 198, 32, 51424, 36025, 315, 15336, 220, 23, 15, 296, 353, 220, 21, 15, 296, 702, 1378, 19241, 1817, 220, 16, 15, 296, 6884, 4303, 304, 279, 6149, 315, 279, 36025, 11, 825, 15279, 311, 279, 3084, 323, 279, 1008, 15279, ...
[ 18, 36, 54, 72, 90, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 18, 36, 54, 72, 90, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189,...
[ 9, 18, 27 ]
151
405
37
answer_trajectory
What does the model currently think the answer is?
D
768 divided by 100, which is 7.68. Yep, same result. So 12% of 64 is 7.68
7.68
[ 151644, 872, 198, 718, 220, 16, 16, 4, 315, 220, 18, 21, 323, 220, 16, 17, 4, 315, 220, 21, 19, 382, 32, 8, 24, 13, 20, 198, 33, 8, 16, 15, 13, 20, 198, 34, 8, 16, 16, 13, 20, 198, 35, 8, 16, 17, 198, 36, 8, 16, 20, ...
[ 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 ]
35
289
12
answer_trajectory
What does the model currently think the answer is?
1500
$1500
1500
[ 151644, 872, 198, 13079, 594, 5562, 702, 264, 38582, 315, 220, 23, 56625, 13, 220, 1260, 6696, 3123, 4279, 315, 1105, 13, 220, 1260, 13598, 825, 315, 279, 9664, 56625, 13, 220, 1260, 1221, 4990, 279, 9664, 56625, 323, 30778, 1105, 181...
[ 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 ]
84
106
80
answer_trajectory
What does the model currently think the answer is?
A
that (-1)^{-n} = (-1)^n. Because (-1)^{-n} = [(-1)^n]^{-1} = (-1)^{-n} = same as (-1)^n? Wait, no. Wait
uncertain
[ 151644, 872, 198, 4854, 315, 279, 2701, 37906, 702, 518, 3245, 825, 6291, 4063, 21073, 271, 32, 8, 4142, 17, 86167, 284, 320, 4142, 17, 29776, 12, 77, 198, 33, 8, 17, 49309, 77, 284, 320, 4142, 17, 29776, 77, 198, 34, 8, 17, 861...
[ 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 ]
80
237
34
answer_trajectory
What does the model currently think the answer is?
90
two slices of bread, one slice of ham, one slice of cheese. So, the total cost would be:
uncertain
[ 151644, 872, 198, 40344, 30778, 13515, 323, 17163, 56658, 369, 400, 16, 13, 20, 15, 13, 1416, 264, 15983, 315, 16002, 7049, 400, 15, 13, 16, 20, 11, 264, 15983, 315, 13515, 7049, 400, 15, 13, 17, 20, 323, 264, 15983, 315, 17163, 7...
[ 12, 24, 36, 48, 60, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 12, 24, 36, 48, 60, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 16...
[ 9, 18, 27 ]
28
170
17
answer_trajectory
What does the model currently think the answer is?
E
that each year's saving is invested for the remaining years. So, the first saving is invested for 2 years, second for 1 year, third for 0 years. So my initial calculation is correct
uncertain
[ 151644, 872, 198, 32, 883, 25935, 19215, 220, 16, 20, 15, 518, 279, 835, 315, 1817, 1042, 323, 77918, 279, 3220, 518, 220, 20, 4, 23628, 2734, 13, 2585, 1753, 686, 432, 3635, 518, 279, 835, 315, 220, 18, 1635, 382, 32, 8, 42327, ...
[ 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, ...
[ 9, 18, 27 ]
62
210
30
answer_trajectory
What does the model currently think the answer is?
E
likely B)75 or D)25
D
[ 151644, 872, 198, 4498, 6785, 7546, 1599, 374, 17779, 553, 6785, 7546, 809, 11, 279, 26313, 374, 220, 16, 13, 19, 19, 13, 1416, 1599, 39249, 284, 220, 24, 21, 13, 16, 17, 11, 1128, 374, 279, 897, 315, 809, 1939, 32, 8, 24, 21, ...
[ 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 ]
626
725
86
answer_trajectory
What does the model currently think the answer is?
B
the original selling price, which is 1.1 * CP. So, 1.1 * 500 = 550. So, the original selling price is $550. Let me check the options. Option
550
[ 151644, 872, 198, 27476, 1865, 264, 11372, 315, 220, 16, 15, 4, 553, 11236, 264, 1985, 13, 1416, 566, 1030, 14733, 429, 1985, 369, 220, 16, 15, 4, 2686, 323, 6088, 432, 518, 264, 11372, 315, 220, 18, 15, 13384, 566, 1035, 614, 394...
[ 17, 34, 51, 68, 85, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 17, 34, 51, 68, 85, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183,...
[ 9, 18, 27 ]
22
176
13
answer_trajectory
What does the model currently think the answer is?
D
7.7. Wait, 3.85 times 2. Let me check again. 3.85 times 2 is 7.7. Yes, that's right
7.7
[ 151644, 872, 198, 785, 5461, 315, 220, 21, 902, 3159, 82, 374, 220, 18, 13, 24, 20, 13, 576, 5461, 315, 220, 17, 1055, 1105, 374, 220, 18, 13, 23, 11, 1393, 279, 5461, 315, 279, 1575, 220, 17, 374, 220, 18, 13, 23, 20, 13, 3...
[ 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 16, 32, 49, 65, 81, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, ...
[ 9, 18, 27 ]
20
158
13
answer_trajectory
What does the model currently think the answer is?
100
100 bricks. Wait, but let me check once more. If there are 10 rows, and half of them are 5 rows. So bottom half: 5 rows * 12 = 60. Top half
60
[ 151644, 872, 198, 9194, 1694, 374, 4752, 458, 19373, 47133, 304, 1059, 35660, 1667, 49037, 315, 11794, 13, 2932, 22111, 1059, 19373, 47133, 304, 6978, 11, 1667, 264, 2790, 315, 220, 16, 15, 6978, 315, 49037, 315, 11794, 13, 576, 5622, ...
[ 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 ]
76
103
74
answer_trajectory
What does the model currently think the answer is?
A
negative? Wait, but the question is asking for the standard free energy change. However, the options are all positive. Wait, maybe I made a mistake here
uncertain
[ 151644, 872, 198, 32, 53986, 292, 2779, 374, 1865, 705, 315, 264, 14961, 70948, 304, 264, 220, 16, 44, 14961, 24691, 7698, 6291, 323, 458, 24649, 70948, 304, 264, 220, 16, 44, 24649, 24691, 7698, 6291, 13, 576, 4279, 24473, 525, 220, ...
[ 47, 95, 143, 191, 239, 287, 292, 297, 302, 307, 312, 317, 322, 327, 332, 337, 342, 347, 352, 357, 362, 367, 372, 377, 382, 47, 95, 143, 191, 239, 287, 292, 297, 302, 307, 312, 317, 322, 327, 332, 337, 342, 347, 352, 357, 362, ...
[ 9, 18, 27 ]
61
292
21
answer_trajectory
What does the model currently think the answer is?
C
not 645. Similarly, if I check for 552 km: time is 552 /46 = 12 hours. Then, distance covered by first train is 25*12=30
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 ]
241
499
48
answer_trajectory
What does the model currently think the answer is?
I
either F, H, or I, J, etc. Wait, the options are labeled A to J. Let me check again:
uncertain
[ 151644, 872, 198, 623, 316, 459, 2138, 44512, 11, 1741, 438, 472, 17, 46, 323, 7284, 17, 11, 311, 9289, 1948, 279, 4766, 315, 264, 6008, 15933, 323, 279, 14590, 4573, 13, 15920, 315, 279, 2701, 13666, 1212, 4622, 61082, 12158, 4682, ...
[ 35, 70, 105, 140, 175, 211, 216, 221, 226, 231, 236, 241, 246, 251, 256, 261, 266, 271, 276, 281, 286, 291, 296, 301, 306, 35, 70, 105, 140, 175, 211, 216, 221, 226, 231, 236, 241, 246, 251, 256, 261, 266, 271, 276, 281, 286, ...
[ 9, 18, 27 ]
184
304
60
answer_trajectory
What does the model currently think the answer is?
232
232 square feet
232
[ 151644, 872, 198, 785, 3753, 374, 220, 17, 15, 13, 20, 7541, 553, 220, 16, 15, 7541, 13, 576, 44647, 10953, 220, 21, 7541, 553, 220, 19, 13, 20, 7541, 13, 576, 3753, 323, 279, 44647, 1184, 557, 49603, 13, 2585, 1657, 9334, 7541, ...
[ 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 ]
51
80
65
answer_trajectory
What does the model currently think the answer is?
C
C)5
C. 5
[ 151644, 872, 198, 2679, 264, 323, 293, 525, 6785, 25780, 323, 856, 284, 220, 24, 61, 64, 323, 379, 284, 220, 20, 61, 65, 11, 892, 315, 279, 2701, 374, 264, 3204, 8153, 15723, 315, 30784, 1939, 32, 8, 16, 198, 33, 8, 19, 198, 3...
[ 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157,...
[ 9, 18, 27 ]
23
165
14
answer_trajectory
What does the model currently think the answer is?
76
$76. But let me check once again
76
[ 151644, 872, 198, 32, 883, 374, 4460, 311, 34508, 279, 3311, 315, 3220, 566, 25935, 1817, 2254, 13, 758, 3953, 11, 566, 374, 4460, 311, 10279, 1948, 1378, 2155, 31629, 13, 576, 1156, 13154, 7049, 400, 23, 15, 15, 817, 2254, 304, 801...
[ 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 ]
67
168
40
answer_trajectory
What does the model currently think the answer is?
E
E)60. But let me check the options again. The options are A)120, B)150, C)200, D)180, E)60. So E is 6
E. 60
[ 151644, 872, 198, 3862, 525, 220, 21, 15, 15, 13007, 304, 264, 80811, 13, 8886, 11088, 2987, 26953, 476, 8964, 476, 2176, 13, 1416, 220, 22, 20, 4, 1486, 26953, 323, 220, 18, 20, 4, 1486, 8964, 11, 1246, 1657, 1486, 2176, 1939, 32...
[ 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 ]
88
150
59
answer_trajectory
What does the model currently think the answer is?
I
J
uncertain
[ 151644, 872, 198, 32, 2997, 1030, 1012, 20971, 5312, 55871, 389, 264, 32773, 8411, 979, 807, 6635, 311, 6815, 1119, 95079, 5055, 5540, 13, 11954, 862, 4717, 518, 95079, 11, 279, 2997, 3113, 291, 700, 304, 264, 88015, 3082, 315, 279, 3...
[ 107, 214, 321, 428, 535, 643, 648, 653, 658, 663, 668, 673, 678, 683, 688, 693, 698, 703, 708, 713, 718, 723, 728, 733, 738, 107, 214, 321, 428, 535, 643, 648, 653, 658, 663, 668, 673, 678, 683, 688, 693, 698, 703, 708, 713, 7...
[ 9, 18, 27 ]
140
247
57
answer_trajectory
What does the model currently think the answer is?
C
C. So maybe the answer is C. But let me check with another approach
C
[ 151644, 872, 198, 785, 3084, 315, 264, 5426, 323, 429, 315, 264, 5339, 525, 6144, 13, 1416, 448, 264, 4628, 315, 220, 24, 15, 595, 74901, 11, 279, 5426, 49435, 279, 5339, 304, 825, 9383, 11, 1221, 279, 3084, 315, 279, 5426, 320, 2...
[ 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 ]
140
208
67
answer_trajectory
What does the model currently think the answer is?
6
6 hours. Wait, but let me think again. Maybe I need to check if the 45 minutes is per day or per week? The problem says "children 6–11 years old spend 45 minutes each day watching
6
[ 151644, 872, 198, 28715, 389, 264, 220, 17, 15, 15, 23, 3920, 11, 2841, 220, 21, 4142, 16, 16, 1635, 2310, 8329, 220, 19, 20, 4420, 1817, 1899, 10099, 12425, 13, 2585, 1657, 4115, 653, 1493, 2841, 3736, 12425, 304, 220, 17, 5555, ...
[ 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 ]
58
89
66
answer_trajectory
What does the model currently think the answer is?
E
E. But the options given have E as 122. So maybe the answer is E
E. 122
[ 151644, 872, 198, 785, 10486, 315, 264, 12671, 702, 10578, 315, 220, 17, 23, 9961, 323, 8622, 9210, 220, 16, 18, 20, 78, 13, 7379, 1181, 46342, 1939, 32, 8, 24, 16, 13, 20, 198, 33, 8, 24, 16, 13, 19, 198, 34, 8, 24, 16, 13,...
[ 12, 24, 36, 48, 60, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 12, 24, 36, 48, 60, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 16...
[ 9, 18, 27 ]
262
430
61
answer_trajectory
What does the model currently think the answer is?
H
A) 0. But let me think again. Wait, maybe the process is not adiabatic? Wait, the problem says "reversibly and adiabatically". So adiabatic. So q is zero. So
0
[ 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, 362, 6077, 30606, 315, 400, 18, 13, 15, 15, 1124, 91550, 90, 93, 44344, 31716, 315, 1853,...
[ 41, 83, 125, 167, 209, 251, 256, 261, 266, 271, 276, 281, 286, 291, 296, 301, 306, 311, 316, 321, 326, 331, 336, 341, 346, 41, 83, 125, 167, 209, 251, 256, 261, 266, 271, 276, 281, 286, 291, 296, 301, 306, 311, 316, 321, 326, ...
[ 9, 18, 27 ]
29
113
26
answer_trajectory
What does the model currently think the answer is?
D
J. Because the contract may have an ambiguity, and the evidence is admissible to explain that ambiguity
uncertain
[ 151644, 872, 198, 32, 95706, 14029, 49968, 448, 458, 10049, 311, 8193, 25374, 323, 822, 1754, 388, 6188, 553, 279, 10049, 13, 576, 10049, 572, 458, 9555, 14692, 315, 6530, 1238, 42024, 13856, 1664, 11, 323, 279, 14029, 1521, 5670, 975, ...
[ 64, 128, 192, 256, 320, 384, 389, 394, 399, 404, 409, 414, 419, 424, 429, 434, 439, 444, 449, 454, 459, 464, 469, 474, 479, 64, 128, 192, 256, 320, 384, 389, 394, 399, 404, 409, 414, 419, 424, 429, 434, 439, 444, 449, 454, 459...
[ 9, 18, 27 ]
125
164
76
answer_trajectory
What does the model currently think the answer is?
D
0.25 * 80 = 20 liters
20
[ 151644, 872, 198, 2679, 220, 17, 15, 92866, 315, 11483, 1599, 525, 3694, 311, 220, 23, 15, 92866, 315, 264, 20980, 429, 374, 220, 17, 20, 4, 11483, 1599, 323, 220, 22, 20, 4, 11483, 809, 11, 1221, 1128, 11414, 315, 279, 12942, 209...
[ 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 ]
217
268
81
answer_trajectory
What does the model currently think the answer is?
E
E) suitcase. But I'm not sure. Alternatively, maybe "possession" is a trick. But possession is not a place. So between B and E
E
[ 151644, 872, 198, 22286, 572, 5558, 714, 566, 7691, 944, 6099, 1380, 566, 2182, 279, 2415, 13, 220, 1260, 6876, 429, 566, 1030, 432, 279, 1537, 882, 566, 10497, 13, 220, 1260, 26471, 3709, 700, 806, 25507, 36061, 323, 76726, 11, 1221,...
[ 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 ]
57
112
51
answer_trajectory
What does the model currently think the answer is?
C
B) Seborrheic keratosis
B. Seborrheic keratosis
[ 151644, 872, 198, 32, 220, 21, 23, 4666, 6284, 883, 504, 7043, 18404, 369, 264, 14021, 1779, 454, 13, 1260, 1558, 537, 614, 894, 21171, 13, 1260, 2727, 429, 566, 702, 6679, 311, 2506, 5561, 9314, 323, 4541, 553, 98638, 323, 59199, 2...
[ 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 ]
88
131
67
answer_trajectory
What does the model currently think the answer is?
D
D
D
[ 151644, 872, 198, 15919, 525, 2677, 7404, 369, 264, 47968, 315, 7966, 11, 279, 1429, 6770, 374, 429, 220, 374, 264, 1616, 315, 3730, 1128, 448, 825, 2441, 1939, 32, 8, 19009, 1995, 198, 33, 8, 9289, 315, 6708, 198, 34, 8, 19142, 1...
[ 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 ]
59
89
67
answer_trajectory
What does the model currently think the answer is?
D
D
D
[ 151644, 872, 198, 32, 646, 653, 264, 6573, 315, 975, 304, 220, 23, 2849, 13, 425, 646, 653, 432, 304, 220, 16, 17, 2849, 13, 3085, 279, 12994, 315, 356, 807, 8145, 279, 975, 304, 220, 19, 2849, 13, 7379, 304, 1246, 1657, 2849, 6...
[ 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 ]
77
114
68
answer_trajectory
What does the model currently think the answer is?
H
H
uncertain
[ 151644, 872, 198, 1109, 423, 15772, 15379, 374, 1850, 37939, 1870, 553, 892, 315, 279, 2701, 1939, 32, 8, 576, 342, 3305, 315, 264, 7640, 323, 279, 44174, 315, 264, 3738, 198, 33, 8, 576, 10901, 315, 458, 37871, 4916, 323, 279, 978,...
[ 29, 59, 88, 118, 147, 177, 182, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, 262, 267, 272, 29, 59, 88, 118, 147, 177, 182, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, ...
[ 9, 18, 27 ]
208
242
86
answer_trajectory
What does the model currently think the answer is?
A
A)V42Y
A. V42Y
[ 151644, 872, 198, 43, 17, 48, 30114, 21, 50, 27394, 16, 17, 52, 23508, 17, 15, 54, 19997, 18, 15, 52, 11, 1939, 32, 77390, 19, 17, 56, 198, 33, 8, 52, 19, 22, 56, 198, 34, 77390, 19, 22, 57, 198, 35, 77390, 19, 22, 56, 198...
[ 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 ]
539
600
90
answer_trajectory
What does the model currently think the answer is?
E
D)25. But the problem says the remainder is 1.44. But if the remainder is 3, then 3 = 1.44? No. So this is confusing
D
[ 151644, 872, 198, 4498, 6785, 7546, 1599, 374, 17779, 553, 6785, 7546, 809, 11, 279, 26313, 374, 220, 16, 13, 19, 19, 13, 1416, 1599, 39249, 284, 220, 24, 21, 13, 16, 17, 11, 1128, 374, 279, 897, 315, 809, 1939, 32, 8, 24, 21, ...
[ 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 ]
463
725
64
answer_trajectory
What does the model currently think the answer is?
134
144 - 6 (Frank) - 4 (Ted) = 134
134
[ 151644, 872, 198, 37326, 293, 2050, 1378, 91725, 315, 8279, 817, 1899, 11, 369, 220, 21, 2849, 13, 9270, 49677, 825, 12544, 1817, 1899, 311, 1281, 2704, 807, 12656, 1661, 13, 23115, 4041, 916, 389, 279, 25031, 1899, 323, 49677, 220, 1...
[ 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157,...
[ 9, 18, 27 ]
118
143
83
answer_trajectory
What does the model currently think the answer is?
E
E. But let me check the options again. The options are A)62.5, B)62.0, C)62.6, D)62.1, E)98.68. So
E
[ 151644, 872, 198, 1655, 1128, 3349, 1969, 458, 4549, 53724, 19215, 13, 22, 20, 387, 12864, 304, 1973, 429, 1283, 36810, 287, 220, 20, 4, 504, 279, 1140, 3349, 13, 1084, 1231, 387, 6088, 518, 264, 11372, 315, 220, 17, 20, 4, 389, 2...
[ 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 ]
114
251
45
answer_trajectory
What does the model currently think the answer is?
144
same. Let me compute determinant:
uncertain
[ 151644, 872, 198, 10061, 400, 87, 62, 16, 4779, 400, 87, 62, 17, 4779, 400, 87, 62, 18, 4779, 400, 88, 62, 16, 4779, 400, 88, 62, 17, 4779, 323, 400, 88, 62, 18, 3, 387, 1931, 5109, 1741, 429, 198, 59, 7265, 90, 6612, 9, 532...
[ 30, 60, 91, 121, 151, 182, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, 262, 267, 272, 277, 30, 60, 91, 121, 151, 182, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, ...
[ 9, 18, 27 ]
85
212
40
answer_trajectory
What does the model currently think the answer is?
C
that AB and CD are both (3,0) and (-3,0), so they are equal in magnitude and opposite in direction. Then BC is (-2,5) and DA is (-4,-5). These are not equal. So
uncertain
[ 151644, 872, 198, 641, 264, 51424, 8024, 1849, 11, 1128, 374, 279, 3082, 315, 264, 57030, 839, 2396, 448, 279, 13934, 25, 320, 19, 11, 19, 701, 320, 22, 11, 19, 701, 320, 20, 11, 24, 701, 320, 23, 11, 24, 8, 23754, 32, 8, 17, ...
[ 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 ]
87
756
11
answer_trajectory
What does the model currently think the answer is?
C
C) lark. But I'm still confused. Let me think again
C
[ 151644, 872, 198, 32, 3729, 52269, 374, 1128, 498, 4172, 1968, 518, 42984, 323, 498, 4172, 6723, 264, 1128, 518, 63819, 1939, 32, 8, 6556, 1697, 198, 33, 8, 4124, 11958, 198, 34, 8, 326, 838, 198, 35, 8, 4124, 9824, 261, 198, 36, ...
[ 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 ]
114
163
70
answer_trajectory
What does the model currently think the answer is?
G
not E
uncertain
[ 151644, 872, 198, 3838, 374, 4911, 911, 25867, 2009, 403, 594, 5486, 311, 17294, 3412, 1939, 32, 8, 2009, 403, 45628, 279, 12650, 315, 18929, 41822, 304, 17294, 4401, 624, 33, 8, 2009, 403, 10981, 429, 17294, 374, 15503, 14122, 1526, ...
[ 31, 62, 93, 124, 155, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, 262, 267, 272, 277, 282, 31, 62, 93, 124, 155, 187, 192, 197, 202, 207, 212, 217, 222, 227, 232, 237, 242, 247, 252, 257, 262, ...
[ 9, 18, 27 ]
24
52
48
answer_trajectory
What does the model currently think the answer is?
D
D) 2 miles
D. 2 miles
[ 151644, 872, 198, 4340, 1293, 374, 264, 12963, 1815, 1939, 32, 8, 220, 17, 7541, 198, 33, 8, 220, 17, 14924, 198, 34, 8, 220, 17, 13692, 198, 35, 8, 220, 17, 8756, 271, 16141, 448, 279, 6524, 13, 151645, 198, 151644, 77091, 198, ...
[ 7, 14, 22, 29, 36, 44, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 7, 14, 22, 29, 36, 44, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 7,...
[ 9, 18, 27 ]
72
97
75
answer_trajectory
What does the model currently think the answer is?
10
10 pages. Wait, but let me check once more. Maybe I misread the problem?
uncertain
[ 151644, 872, 198, 1925, 7014, 11, 32391, 13914, 304, 806, 8322, 369, 220, 21, 15, 4420, 518, 264, 4379, 315, 220, 16, 2150, 1449, 220, 18, 15, 4420, 13, 1913, 7589, 11, 32391, 13914, 304, 806, 8322, 369, 220, 19, 20, 4420, 518, 26...
[ 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 ]
63
126
50
answer_trajectory
What does the model currently think the answer is?
E
E) None of the Above
uncertain
[ 151644, 872, 198, 3838, 1378, 48342, 1372, 374, 2686, 1091, 279, 2629, 315, 279, 9334, 315, 1181, 18509, 553, 220, 16, 20, 323, 35275, 862, 34617, 1985, 553, 220, 20, 1939, 32, 8, 220, 24, 20, 198, 33, 8, 220, 24, 24, 198, 34, 8...
[ 12, 24, 36, 48, 60, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 167, 12, 24, 36, 48, 60, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 16...
[ 9, 18, 27 ]
177
192
92
answer_trajectory
What does the model currently think the answer is?
E
G) a state as a party. Wait, but I is also part of the original jurisdiction. So why is the answer not both? But the options are single letters. Wait, maybe the question is referring to the cases where the Supreme Court has
uncertain
[ 151644, 872, 198, 785, 13506, 7154, 702, 4024, 28001, 304, 3654, 5671, 13, 7992, 702, 2661, 4722, 6775, 18828, 34035, 28001, 448, 279, 13506, 7154, 304, 678, 5048, 3650, 369, 41154, 15860, 1447, 32, 8, 57312, 4714, 198, 33, 8, 869, 10...
[ 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 ]
61
168
36
answer_trajectory
What does the model currently think the answer is?
46
18 + 16 + 12. Let me add those numbers together
36
[ 151644, 872, 198, 2269, 722, 5868, 1526, 279, 26482, 1380, 1059, 3368, 13598, 279, 12544, 3931, 5045, 13, 2619, 525, 220, 21, 12544, 3931, 5045, 26271, 1075, 42446, 11, 220, 19, 9334, 6174, 323, 220, 17, 12371, 351, 2382, 13, 2585, 16...
[ 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 ]
27
114
24
answer_trajectory
What does the model currently think the answer is?
A
the number that when compared to 623 has the same ratio as 365 to 90
365/90 = 623/x → x = (623 * 90)/365 ≈
[ 151644, 872, 198, 18, 21, 20, 25, 24, 15, 486, 21, 17, 18, 25, 1939, 32, 8, 18, 21, 198, 33, 8, 19, 20, 198, 34, 8, 16, 17, 18, 198, 35, 8, 21, 18, 198, 36, 8, 6697, 315, 1493, 271, 16141, 448, 279, 6524, 13, 151645, 198...
[ 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
395
1
answer_trajectory
What does the model currently think the answer is?
B
B)34
B. 34
[ 151644, 872, 198, 32, 35765, 220, 16, 15, 15, 7541, 1293, 374, 48348, 2348, 264, 12140, 7002, 11445, 4722, 835, 374, 220, 21, 15, 4478, 504, 279, 5622, 315, 279, 7002, 576, 3108, 315, 279, 7772, 18728, 938, 3745, 429, 646, 387, 9099...
[ 15, 31, 47, 63, 79, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 15, 31, 47, 63, 79, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, ...
[ 9, 18, 27 ]
279
432
64
answer_trajectory
What does the model currently think the answer is?
87
20. So converting each fraction:
uncertain
[ 151644, 872, 198, 62502, 11, 730, 60722, 11, 323, 20696, 614, 7324, 6887, 304, 264, 21788, 13, 10964, 3383, 374, 311, 11555, 14709, 6, 52884, 13, 21475, 646, 11555, 220, 18, 52884, 304, 220, 20, 4420, 13, 730, 60722, 646, 11555, 220, ...
[ 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 ]
79
159
50
answer_trajectory
What does the model currently think the answer is?
D
likely related to the diameter of these arterioles. Let me check the options
uncertain
[ 151644, 872, 198, 785, 75046, 1276, 84746, 367, 4379, 374, 14071, 15503, 553, 72581, 315, 279, 75046, 1276, 11346, 34505, 7262, 13, 3555, 525, 279, 1378, 9363, 892, 8193, 1493, 4344, 1939, 32, 8, 8280, 25359, 1276, 2062, 34505, 7262, 32...
[ 33, 66, 100, 133, 166, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 33, 66, 100, 133, 166, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, ...
[ 9, 18, 27 ]
8
261
3
answer_trajectory
What does the model currently think the answer is?
A
6 * 15 = 90? Wait, let me check:
90
[ 151644, 872, 198, 32, 4236, 28045, 2083, 374, 311, 387, 14122, 504, 264, 7314, 315, 220, 21, 6326, 2009, 24651, 323, 220, 21, 4312, 2009, 24651, 13, 3555, 374, 279, 18927, 429, 279, 2083, 686, 6644, 518, 3245, 220, 17, 6326, 2009, 2...
[ 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 ]
45
234
19
answer_trajectory
What does the model currently think the answer is?
B
40 cm? Let me check the new dimensions. If length is decreased by 5 cm, new length is 40 - 5 = 35 cm. Breadth is increased by 5 cm, so new breadth is
35 cm
[ 151644, 872, 198, 785, 3084, 315, 264, 22756, 374, 10917, 1181, 57221, 13, 1416, 1181, 3084, 374, 24938, 553, 220, 20, 9961, 323, 57221, 374, 7172, 553, 220, 20, 9961, 11, 279, 3082, 315, 279, 22756, 374, 7172, 553, 220, 22, 20, 180...
[ 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 ]
26
56
48
answer_trajectory
What does the model currently think the answer is?
D
D
D
[ 151644, 872, 198, 32, 3654, 6335, 702, 220, 16, 19, 3613, 11, 2670, 13928, 13, 3776, 315, 279, 220, 16, 19, 3613, 374, 311, 387, 11882, 518, 4194, 311, 387, 279, 4767, 11, 825, 315, 279, 9664, 220, 16, 18, 3613, 374, 311, 387, 1...
[ 22, 44, 66, 88, 110, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 212, 217, 222, 227, 22, 44, 66, 88, 110, 132, 137, 142, 147, 152, 157, 162, 167, 172, 177, 182, 187, 192, 197, 202, 207, 21...
[ 9, 18, 27 ]
461
468
98
answer_trajectory
What does the model currently think the answer is?
D
D)5. So I think the answer is D
D. 5
[ 151644, 872, 198, 2679, 279, 1985, 315, 220, 21, 25780, 374, 8225, 11, 518, 1429, 1246, 1657, 315, 279, 25780, 646, 387, 8225, 1939, 32, 8, 17, 198, 33, 8, 18, 198, 34, 8, 19, 198, 35, 8, 20, 198, 36, 8, 21, 271, 16141, 448, ...
[ 9, 18, 27, 36, 45, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 9, 18, 27, 36, 45, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, ...
[ 9, 18, 27 ]
115
122
95
answer_trajectory
What does the model currently think the answer is?
A
A) Costa Rica, since San Jose is the capital of Costa Rica. But I'm not entirely sure. Let me check again
A
[ 151644, 872, 198, 785, 94811, 572, 7838, 700, 315, 1181, 2392, 304, 279, 89156, 6722, 315, 5836, 10860, 11, 1380, 572, 279, 94811, 1939, 32, 8, 98702, 435, 3001, 198, 33, 8, 82919, 198, 34, 8, 82608, 198, 35, 8, 501, 76376, 198, 3...
[ 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 ]
44
95
47
answer_trajectory
What does the model currently think the answer is?
B
approximately (-1 + 40.012)/2 ≈ 39.012 / 2 ≈ 19.506. So, the inequality holds when n ≤ 19.506
19.506
[ 151644, 872, 198, 641, 264, 3654, 9530, 315, 7411, 11, 1817, 3701, 702, 264, 6785, 7546, 5326, 389, 432, 11, 304, 264, 46444, 1809, 264, 1682, 26643, 264, 3701, 323, 7299, 7202, 279, 7546, 389, 279, 3701, 448, 279, 1790, 3460, 7546, ...
[ 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 ]
37
543
6
answer_trajectory
What does the model currently think the answer is?
112
112 minutes. Wait, but let me check once more for errors. Maybe I misread the problem? Let me check again
112
[ 151644, 872, 198, 13079, 19232, 220, 18, 6803, 389, 806, 5496, 264, 1899, 13, 220, 9043, 315, 1105, 525, 2805, 220, 17, 9383, 6803, 323, 220, 16, 315, 1105, 374, 220, 21, 3039, 438, 1293, 13, 220, 63964, 264, 220, 22, 11228, 2003, ...
[ 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 ]
67
139
48
answer_trajectory
What does the model currently think the answer is?
E
that SP = 0.96 MP = 1.44 CP (since profit is 44%)
1.44
[ 151644, 872, 198, 32, 8061, 18861, 6088, 458, 4549, 10004, 264, 11089, 315, 220, 19, 4, 323, 15303, 264, 11372, 315, 220, 19, 19, 14360, 3555, 1035, 614, 1012, 279, 11414, 315, 11372, 15303, 421, 902, 11089, 572, 8900, 1939, 32, 8, ...
[ 12, 25, 37, 50, 62, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 12, 25, 37, 50, 62, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, ...
[ 9, 18, 27 ]
103
256
40
answer_trajectory
What does the model currently think the answer is?
E
480. So, E
E. 480
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[ 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157, 162, 11, 22, 33, 44, 55, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 147, 152, 157,...
[ 9, 18, 27 ]
270
317
85
answer_trajectory
What does the model currently think the answer is?
C
C)15
C. 15
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[ 9, 18, 27 ]
90
97
93