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Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
142
2022_0
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
81
2022_2
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
13
2022_4
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
2
2022_5
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
18
2022_7
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
-4
2022_8
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
359
2022_9
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
8178
2022_10
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
5
2022_11
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
4
2022_12
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
20
2022_14
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
8
2022_15
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
1296
2022_16
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
17
2022_17
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
6
2022_19
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
841
2022_20
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
36
2022_21
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
10
2022_23
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
7
2022_24
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
2
2022_25
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
2
2022_27
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
20
2022_28
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
5
2022_29
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
4
2022_30
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
76
2022_33
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
22
2022_34
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
44
2022_35
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
20
2022_36
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
23
2022_37
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
36
2022_38
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
5
2022_39
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
6
2022_40
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
47
2022_41
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
4
2022_42
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
0
2022_43
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
8
2022_44
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
5
2022_45
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
42
2022_46
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
11
2022_47
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
12
2022_49
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
27
2023_0
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
36
2023_1
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
45
2023_2
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
3159
2023_3
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
36
2023_4
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
7
2023_5
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
21
2023_7
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
3
2023_8
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
1
2023_10
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
4
2023_11
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
5
2023_12
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
29
2023_13
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
96
2023_14
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
1
2023_15
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
5
2023_16
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
-1
2023_17
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
8
2023_18
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
18
2023_19
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
265
2023_20
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
9
2023_21
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
9
2023_22
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
7
2023_23
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
7
2023_25
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
7
2023_26
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
13
2023_27
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
50
2023_28
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
13
2023_29
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
5
2023_30
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
11
2023_32
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
18
2023_33
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
50
2023_36
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
11
2023_40
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
3
2023_41
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
194
2023_43
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
1625
2023_44
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
4
2023_45
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
2
2024A_1
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
246
2024A_2
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
21
2024A_3
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
23
2024A_4
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
7
2024A_5
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
3
2024A_6
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
2024
2024A_7
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
0
2024A_8
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
8
2024A_9
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
\frac{\pi}{2} - 2\alpha
2024A_10
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
20
2024A_11
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
21
2024A_12
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
(0, \frac{1}{2})
2024A_13
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
125
2024A_15
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
389
2024A_16
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
276
2024A_17
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
\frac{39}{7}
2024A_19
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
[\frac{3}{4}, \frac{7}{8}]
2024A_20
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
338551
2024A_21
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
68
2024A_23
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
15\sqrt{7}
2024A_24
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
1292
2024A_25
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
2022
2024B_1
Answer the following question. Break down your reasoning process into small steps. Each step should represent a single, minimal reasoning action, and each step must logically follow the previous one. Use the following format for each step: Step i: [Your reasoning process in one cohesive response] After completing al...
0
2024B_2
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AMC-12(2022-2024)

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