query string | completion string | source_split string | source_index int64 | variant_index int64 | numbers list | target int64 | answer_expr string | solution_steps int64 | trace_type string | backtrack_count int64 | backtrack_depth int64 |
|---|---|---|---|---|---|---|---|---|---|---|---|
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [95, 36, 32], create an equation that equals 91. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [32, 36, 95]
try 95 + 32 = 127
state [36, 127]
try 127 - 36 = 91
state [91]
</think>
<answer> ((95 + 32) - 36) </answer> | train | 0 | 0 | [
95,
36,
32
] | 91 | ((95 + 32) - 36) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [95, 36, 32], create an equation that equals 91. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [32, 36, 95]
try 36 - 32 = 4
state [4, 95]
try 95 - 4 = 91
state [91]
</think>
<answer> (95 - (36 - 32)) </answer> | train | 0 | 1 | [
95,
36,
32
] | 91 | (95 - (36 - 32)) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [95, 36, 32], create an equation that equals 91. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [32, 36, 95]
try 95 - 36 = 59
state [32, 59]
try 59 - 32 = 27
state [27]
backtrack
try 32 + 59 = 91
state [91]
</think>
<answer> (32 + (95 - 36)) </answer> | train | 0 | 2 | [
95,
36,
32
] | 91 | (32 + (95 - 36)) | 2 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [12, 76, 55, 5], create an equation that equals 38. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 12, 55, 76]
try 76 - 55 = 21
state [5, 12, 21]
try 12 + 5 = 17
state [17, 21]
try 21 + 17 = 38
state [38]
</think>
<answer> ((76 - 55) + (12 + 5)) </answer> | train | 1 | 0 | [
12,
76,
55,
5
] | 38 | ((76 - 55) + (12 + 5)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [12, 76, 55, 5], create an equation that equals 38. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 12, 55, 76]
try 76 - 12 = 64
state [5, 55, 64]
backtrack
try 76 - 55 = 21
state [5, 12, 21]
try 5 + 21 = 26
state [12, 26]
try 12 + 26 = 38
state [38]
</think>
<answer> (12 + (5 + (76 - 55))) </answer> | train | 1 | 1 | [
12,
76,
55,
5
] | 38 | (12 + (5 + (76 - 55))) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [12, 76, 55, 5], create an equation that equals 38. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 12, 55, 76]
try 76 - 12 = 64
state [5, 55, 64]
backtrack
try 76 - 55 = 21
state [5, 12, 21]
try 12 + 21 = 33
state [5, 33]
try 5 + 33 = 38
state [38]
</think>
<answer> (5 + (12 + (76 - 55))) </answer> | train | 1 | 2 | [
12,
76,
55,
5
] | 38 | (5 + (12 + (76 - 55))) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [46, 27, 86], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [27, 46, 86]
try 46 + 27 = 73
state [73, 86]
try 73 + 86 = 159
state [159]
backtrack
try 86 - 73 = 13
state [13]
</think>
<answer> (86 - (46 + 27)) </answer> | train | 2 | 0 | [
46,
27,
86
] | 13 | (86 - (46 + 27)) | 2 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [46, 27, 86], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [27, 46, 86]
try 86 - 46 = 40
state [27, 40]
try 40 - 27 = 13
state [13]
</think>
<answer> ((86 - 46) - 27) </answer> | train | 2 | 1 | [
46,
27,
86
] | 13 | ((86 - 46) - 27) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [46, 27, 86], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [27, 46, 86]
try 86 - 27 = 59
state [46, 59]
try 46 + 59 = 105
state [105]
backtrack
try 59 - 46 = 13
state [13]
</think>
<answer> ((86 - 27) - 46) </answer> | train | 2 | 2 | [
46,
27,
86
] | 13 | ((86 - 27) - 46) | 2 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [88, 83, 10, 78], create an equation that equals 44. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [10, 78, 83, 88]
try 83 - 78 = 5
state [5, 10, 88]
try 88 - 10 = 78
state [5, 78]
backtrack
try 10 / 5 = 2
state [2, 88]
try 88 / 2 = 44
state [44]
</think>
<answer> (88 / (10 / (83 - 78))) </answer> | train | 3 | 0 | [
88,
83,
10,
78
] | 44 | (88 / (10 / (83 - 78))) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [88, 83, 10, 78], create an equation that equals 44. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [10, 78, 83, 88]
try 83 - 78 = 5
state [5, 10, 88]
try 88 * 5 = 440
state [10, 440]
try 440 / 10 = 44
state [44]
</think>
<answer> ((88 * (83 - 78)) / 10) </answer> | train | 3 | 1 | [
88,
83,
10,
78
] | 44 | ((88 * (83 - 78)) / 10) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [26, 20, 48, 98], create an equation that equals 91. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [20, 26, 48, 98]
try 48 - 20 = 28
state [26, 28, 98]
try 26 * 98 = 2548
state [28, 2548]
try 2548 / 28 = 91
state [91]
</think>
<answer> ((26 * 98) / (48 - 20)) </answer> | train | 4 | 0 | [
26,
20,
48,
98
] | 91 | ((26 * 98) / (48 - 20)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [74, 74, 61, 32], create an equation that equals 30. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [32, 61, 74, 74]
try 74 / 74 = 1
state [1, 32, 61]
try 61 - 32 = 29
state [1, 29]
backtrack
try 32 - 1 = 31
state [31, 61]
try 61 - 31 = 30
state [30]
</think>
<answer> (61 - (32 - (74 / 74))) </answer> | train | 5 | 0 | [
74,
74,
61,
32
] | 30 | (61 - (32 - (74 / 74))) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [74, 74, 61, 32], create an equation that equals 30. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [32, 61, 74, 74]
try 74 / 74 = 1
state [1, 32, 61]
try 61 - 32 = 29
state [1, 29]
backtrack
try 61 + 1 = 62
state [32, 62]
try 62 - 32 = 30
state [30]
</think>
<answer> ((61 + (74 / 74)) - 32) </answer> | train | 5 | 1 | [
74,
74,
61,
32
] | 30 | ((61 + (74 / 74)) - 32) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [74, 74, 61, 32], create an equation that equals 30. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [32, 61, 74, 74]
try 74 - 74 = 0
state [0, 32, 61]
backtrack
try 74 / 74 = 1
state [1, 32, 61]
try 61 - 32 = 29
state [1, 29]
try 1 + 29 = 30
state [30]
</think>
<answer> ((74 / 74) + (61 - 32)) </answer> | train | 5 | 2 | [
74,
74,
61,
32
] | 30 | ((74 / 74) + (61 - 32)) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [73, 13, 10], create an equation that equals 70. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [10, 13, 73]
try 73 - 13 = 60
state [10, 60]
try 10 + 60 = 70
state [70]
</think>
<answer> (10 + (73 - 13)) </answer> | train | 6 | 0 | [
73,
13,
10
] | 70 | (10 + (73 - 13)) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [73, 13, 10], create an equation that equals 70. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [10, 13, 73]
try 73 + 10 = 83
state [13, 83]
try 13 + 83 = 96
state [96]
backtrack
try 83 - 13 = 70
state [70]
</think>
<answer> ((73 + 10) - 13) </answer> | train | 6 | 1 | [
73,
13,
10
] | 70 | ((73 + 10) - 13) | 2 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [73, 13, 10], create an equation that equals 70. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [10, 13, 73]
try 13 - 10 = 3
state [3, 73]
try 3 + 73 = 76
state [76]
backtrack
try 73 - 3 = 70
state [70]
</think>
<answer> (73 - (13 - 10)) </answer> | train | 6 | 2 | [
73,
13,
10
] | 70 | (73 - (13 - 10)) | 2 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [84, 68, 2, 86], create an equation that equals 78. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [2, 68, 84, 86]
try 84 - 68 = 16
state [2, 16, 86]
try 16 / 2 = 8
state [8, 86]
try 86 - 8 = 78
state [78]
</think>
<answer> (86 - ((84 - 68) / 2)) </answer> | train | 7 | 0 | [
84,
68,
2,
86
] | 78 | (86 - ((84 - 68) / 2)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [27, 88, 82, 34], create an equation that equals 80. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [27, 34, 82, 88]
try 88 - 34 = 54
state [27, 54, 82]
try 54 / 27 = 2
state [2, 82]
try 82 - 2 = 80
state [80]
</think>
<answer> (82 - ((88 - 34) / 27)) </answer> | train | 8 | 0 | [
27,
88,
82,
34
] | 80 | (82 - ((88 - 34) / 27)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [14, 49, 5, 61], create an equation that equals 74. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 14, 49, 61]
try 61 - 49 = 12
state [5, 12, 14]
try 5 * 12 = 60
state [14, 60]
try 14 + 60 = 74
state [74]
</think>
<answer> (14 + (5 * (61 - 49))) </answer> | train | 9 | 0 | [
14,
49,
5,
61
] | 74 | (14 + (5 * (61 - 49))) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [16, 93, 39], create an equation that equals 38. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [16, 39, 93]
try 93 - 16 = 77
state [39, 77]
try 77 - 39 = 38
state [38]
</think>
<answer> ((93 - 16) - 39) </answer> | train | 10 | 0 | [
16,
93,
39
] | 38 | ((93 - 16) - 39) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [16, 93, 39], create an equation that equals 38. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [16, 39, 93]
try 16 + 39 = 55
state [55, 93]
try 55 + 93 = 148
state [148]
backtrack
try 93 - 55 = 38
state [38]
</think>
<answer> (93 - (16 + 39)) </answer> | train | 10 | 1 | [
16,
93,
39
] | 38 | (93 - (16 + 39)) | 2 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [16, 93, 39], create an equation that equals 38. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [16, 39, 93]
try 93 - 39 = 54
state [16, 54]
try 54 - 16 = 38
state [38]
</think>
<answer> ((93 - 39) - 16) </answer> | train | 10 | 2 | [
16,
93,
39
] | 38 | ((93 - 39) - 16) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [72, 32, 16], create an equation that equals 74. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [16, 32, 72]
try 72 - 32 = 40
state [16, 40]
backtrack
try 32 / 16 = 2
state [2, 72]
try 72 + 2 = 74
state [74]
</think>
<answer> (72 + (32 / 16)) </answer> | train | 11 | 0 | [
72,
32,
16
] | 74 | (72 + (32 / 16)) | 2 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [51, 76, 73, 85], create an equation that equals 68. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [51, 73, 76, 85]
try 76 - 73 = 3
state [3, 51, 85]
try 51 * 3 = 153
state [85, 153]
try 153 - 85 = 68
state [68]
</think>
<answer> ((51 * (76 - 73)) - 85) </answer> | train | 12 | 0 | [
51,
76,
73,
85
] | 68 | ((51 * (76 - 73)) - 85) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [51, 76, 73, 85], create an equation that equals 68. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [51, 73, 76, 85]
try 76 - 73 = 3
state [3, 51, 85]
try 51 / 3 = 17
state [17, 85]
try 85 - 17 = 68
state [68]
</think>
<answer> (85 - (51 / (76 - 73))) </answer> | train | 12 | 1 | [
51,
76,
73,
85
] | 68 | (85 - (51 / (76 - 73))) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [55, 18, 60], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [18, 55, 60]
try 60 - 18 = 42
state [42, 55]
try 55 - 42 = 13
state [13]
</think>
<answer> (55 - (60 - 18)) </answer> | train | 13 | 0 | [
55,
18,
60
] | 13 | (55 - (60 - 18)) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [55, 18, 60], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [18, 55, 60]
try 60 - 18 = 42
state [42, 55]
backtrack
try 60 - 55 = 5
state [5, 18]
try 18 - 5 = 13
state [13]
</think>
<answer> (18 - (60 - 55)) </answer> | train | 13 | 1 | [
55,
18,
60
] | 13 | (18 - (60 - 55)) | 2 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [55, 18, 60], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [18, 55, 60]
try 55 + 18 = 73
state [60, 73]
try 73 - 60 = 13
state [13]
</think>
<answer> ((55 + 18) - 60) </answer> | train | 13 | 2 | [
55,
18,
60
] | 13 | ((55 + 18) - 60) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [96, 70, 7], create an equation that equals 33. You can use basic arithmetic operations (+, -, *, /), and ea... | <think>
state [7, 70, 96]
try 96 - 70 = 26
state [7, 26]
try 26 - 7 = 19
state [19]
backtrack
try 7 + 26 = 33
state [33]
</think>
<answer> (7 + (96 - 70)) </answer> | train | 14 | 0 | [
96,
70,
7
] | 33 | (7 + (96 - 70)) | 2 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [96, 70, 7], create an equation that equals 33. You can use basic arithmetic operations (+, -, *, /), and ea... | <think>
state [7, 70, 96]
try 96 + 7 = 103
state [70, 103]
try 70 + 103 = 173
state [173]
backtrack
try 103 - 70 = 33
state [33]
</think>
<answer> ((96 + 7) - 70) </answer> | train | 14 | 1 | [
96,
70,
7
] | 33 | ((96 + 7) - 70) | 2 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [96, 70, 7], create an equation that equals 33. You can use basic arithmetic operations (+, -, *, /), and ea... | <think>
state [7, 70, 96]
try 96 - 70 = 26
state [7, 26]
backtrack
try 70 - 7 = 63
state [63, 96]
try 96 - 63 = 33
state [33]
</think>
<answer> (96 - (70 - 7)) </answer> | train | 14 | 2 | [
96,
70,
7
] | 33 | (96 - (70 - 7)) | 2 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [49, 44, 4, 64], create an equation that equals 54. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [4, 44, 49, 64]
try 64 - 44 = 20
state [4, 20, 49]
try 20 / 4 = 5
state [5, 49]
try 49 + 5 = 54
state [54]
</think>
<answer> (49 + ((64 - 44) / 4)) </answer> | train | 15 | 0 | [
49,
44,
4,
64
] | 54 | (49 + ((64 - 44) / 4)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [83, 92, 63, 58], create an equation that equals 51. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [58, 63, 83, 92]
try 92 - 83 = 9
state [9, 58, 63]
try 63 - 58 = 5
state [5, 9]
backtrack
try 63 / 9 = 7
state [7, 58]
try 58 - 7 = 51
state [51]
</think>
<answer> (58 - (63 / (92 - 83))) </answer> | train | 16 | 0 | [
83,
92,
63,
58
] | 51 | (58 - (63 / (92 - 83))) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [61, 38, 5, 30], create an equation that equals 12. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 30, 38, 61]
try 61 - 30 = 31
state [5, 31, 38]
try 38 - 5 = 33
state [31, 33]
backtrack
try 38 - 31 = 7
state [5, 7]
try 5 + 7 = 12
state [12]
</think>
<answer> (5 + (38 - (61 - 30))) </answer> | train | 17 | 0 | [
61,
38,
5,
30
] | 12 | (5 + (38 - (61 - 30))) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [61, 38, 5, 30], create an equation that equals 12. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 30, 38, 61]
try 61 - 30 = 31
state [5, 31, 38]
try 38 - 31 = 7
state [5, 7]
backtrack
try 38 + 5 = 43
state [31, 43]
try 43 - 31 = 12
state [12]
</think>
<answer> ((38 + 5) - (61 - 30)) </answer> | train | 17 | 1 | [
61,
38,
5,
30
] | 12 | ((38 + 5) - (61 - 30)) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [61, 38, 5, 30], create an equation that equals 12. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 30, 38, 61]
try 61 - 30 = 31
state [5, 31, 38]
try 31 - 5 = 26
state [26, 38]
try 26 + 38 = 64
state [64]
backtrack
try 38 - 26 = 12
state [12]
</think>
<answer> (38 - ((61 - 30) - 5)) </answer> | train | 17 | 2 | [
61,
38,
5,
30
] | 12 | (38 - ((61 - 30) - 5)) | 3 | backtrack_v3 | 1 | 3 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [1, 85, 70, 60], create an equation that equals 46. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [1, 60, 70, 85]
try 70 + 60 = 130
state [1, 85, 130]
try 1 + 130 = 131
state [85, 131]
try 131 - 85 = 46
state [46]
</think>
<answer> ((1 + (70 + 60)) - 85) </answer> | train | 18 | 0 | [
1,
85,
70,
60
] | 46 | ((1 + (70 + 60)) - 85) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [1, 85, 70, 60], create an equation that equals 46. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [1, 60, 70, 85]
try 70 + 60 = 130
state [1, 85, 130]
try 85 - 1 = 84
state [84, 130]
try 130 - 84 = 46
state [46]
</think>
<answer> ((70 + 60) - (85 - 1)) </answer> | train | 18 | 1 | [
1,
85,
70,
60
] | 46 | ((70 + 60) - (85 - 1)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [1, 85, 70, 60], create an equation that equals 46. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [1, 60, 70, 85]
try 70 + 60 = 130
state [1, 85, 130]
try 130 - 1 = 129
state [85, 129]
backtrack
try 130 - 85 = 45
state [1, 45]
try 1 + 45 = 46
state [46]
</think>
<answer> (1 + ((70 + 60) - 85)) </answer> | train | 18 | 2 | [
1,
85,
70,
60
] | 46 | (1 + ((70 + 60) - 85)) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [81, 57, 98, 7], create an equation that equals 62. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [7, 57, 81, 98]
try 98 - 57 = 41
state [7, 41, 81]
backtrack
try 98 - 81 = 17
state [7, 17, 57]
try 7 * 17 = 119
state [57, 119]
try 119 - 57 = 62
state [62]
</think>
<answer> ((7 * (98 - 81)) - 57) </answer> | train | 19 | 0 | [
81,
57,
98,
7
] | 62 | ((7 * (98 - 81)) - 57) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [63, 16, 4, 81], create an equation that equals 36. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [4, 16, 63, 81]
try 81 - 63 = 18
state [4, 16, 18]
backtrack
try 16 / 4 = 4
state [4, 63, 81]
try 63 + 81 = 144
state [4, 144]
try 144 / 4 = 36
state [36]
</think>
<answer> ((63 + 81) / (16 / 4)) </answer> | train | 20 | 0 | [
63,
16,
4,
81
] | 36 | ((63 + 81) / (16 / 4)) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [63, 16, 4, 81], create an equation that equals 36. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [4, 16, 63, 81]
try 63 + 81 = 144
state [4, 16, 144]
try 4 * 144 = 576
state [16, 576]
try 576 / 16 = 36
state [36]
</think>
<answer> ((4 * (63 + 81)) / 16) </answer> | train | 20 | 1 | [
63,
16,
4,
81
] | 36 | ((4 * (63 + 81)) / 16) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [63, 16, 4, 81], create an equation that equals 36. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [4, 16, 63, 81]
try 81 - 63 = 18
state [4, 16, 18]
backtrack
try 63 + 81 = 144
state [4, 16, 144]
try 144 / 16 = 9
state [4, 9]
try 4 * 9 = 36
state [36]
</think>
<answer> (4 * ((63 + 81) / 16)) </answer> | train | 20 | 2 | [
63,
16,
4,
81
] | 36 | (4 * ((63 + 81) / 16)) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [15, 60, 16, 83], create an equation that equals 87. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [15, 16, 60, 83]
try 15 * 16 = 240
state [60, 83, 240]
try 240 / 60 = 4
state [4, 83]
try 83 + 4 = 87
state [87]
</think>
<answer> (83 + ((15 * 16) / 60)) </answer> | train | 21 | 0 | [
15,
60,
16,
83
] | 87 | (83 + ((15 * 16) / 60)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [15, 60, 16, 83], create an equation that equals 87. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [15, 16, 60, 83]
try 60 / 15 = 4
state [4, 16, 83]
try 16 / 4 = 4
state [4, 83]
try 83 + 4 = 87
state [87]
</think>
<answer> (83 + (16 / (60 / 15))) </answer> | train | 21 | 1 | [
15,
60,
16,
83
] | 87 | (83 + (16 / (60 / 15))) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [84, 11, 43, 87], create an equation that equals 29. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [11, 43, 84, 87]
try 84 + 43 = 127
state [11, 87, 127]
try 11 + 87 = 98
state [98, 127]
try 127 - 98 = 29
state [29]
</think>
<answer> ((84 + 43) - (11 + 87)) </answer> | train | 22 | 0 | [
84,
11,
43,
87
] | 29 | ((84 + 43) - (11 + 87)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [84, 11, 43, 87], create an equation that equals 29. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [11, 43, 84, 87]
try 87 - 84 = 3
state [3, 11, 43]
backtrack
try 84 + 43 = 127
state [11, 87, 127]
try 127 - 11 = 116
state [87, 116]
try 116 - 87 = 29
state [29]
</think>
<answer> (((84 + 43) - 11) - 87) </answer> | train | 22 | 1 | [
84,
11,
43,
87
] | 29 | (((84 + 43) - 11) - 87) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [84, 11, 43, 87], create an equation that equals 29. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [11, 43, 84, 87]
try 84 + 43 = 127
state [11, 87, 127]
try 127 - 87 = 40
state [11, 40]
try 40 - 11 = 29
state [29]
</think>
<answer> (((84 + 43) - 87) - 11) </answer> | train | 22 | 2 | [
84,
11,
43,
87
] | 29 | (((84 + 43) - 87) - 11) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [63, 70, 5, 80], create an equation that equals 78. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 63, 70, 80]
try 5 + 80 = 85
state [63, 70, 85]
try 85 - 70 = 15
state [15, 63]
try 63 + 15 = 78
state [78]
</think>
<answer> (63 + ((5 + 80) - 70)) </answer> | train | 23 | 0 | [
63,
70,
5,
80
] | 78 | (63 + ((5 + 80) - 70)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [63, 70, 5, 80], create an equation that equals 78. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 63, 70, 80]
try 5 + 80 = 85
state [63, 70, 85]
try 70 - 63 = 7
state [7, 85]
try 85 - 7 = 78
state [78]
</think>
<answer> ((5 + 80) - (70 - 63)) </answer> | train | 23 | 1 | [
63,
70,
5,
80
] | 78 | ((5 + 80) - (70 - 63)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [63, 70, 5, 80], create an equation that equals 78. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 63, 70, 80]
try 5 + 80 = 85
state [63, 70, 85]
try 63 + 85 = 148
state [70, 148]
try 148 - 70 = 78
state [78]
</think>
<answer> ((63 + (5 + 80)) - 70) </answer> | train | 23 | 2 | [
63,
70,
5,
80
] | 78 | ((63 + (5 + 80)) - 70) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [4, 6, 42], create an equation that equals 18. You can use basic arithmetic operations (+, -, *, /), and eac... | <think>
state [4, 6, 42]
try 4 * 6 = 24
state [24, 42]
try 42 - 24 = 18
state [18]
</think>
<answer> (42 - (4 * 6)) </answer> | train | 24 | 0 | [
4,
6,
42
] | 18 | (42 - (4 * 6)) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [96, 64, 37, 30], create an equation that equals 17. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [30, 37, 64, 96]
try 64 * 30 = 1920
state [37, 96, 1920]
try 1920 - 96 = 1824
state [37, 1824]
backtrack
try 1920 / 96 = 20
state [20, 37]
try 37 - 20 = 17
state [17]
</think>
<answer> (37 - ((64 * 30) / 96)) </answer> | train | 25 | 0 | [
96,
64,
37,
30
] | 17 | (37 - ((64 * 30) / 96)) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [40, 57, 5, 75], create an equation that equals 87. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 40, 57, 75]
try 57 - 5 = 52
state [40, 52, 75]
try 75 - 40 = 35
state [35, 52]
try 52 - 35 = 17
state [17]
backtrack
try 52 + 35 = 87
state [87]
</think>
<answer> ((57 - 5) + (75 - 40)) </answer> | train | 26 | 0 | [
40,
57,
5,
75
] | 87 | ((57 - 5) + (75 - 40)) | 3 | backtrack_v3 | 1 | 3 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [40, 57, 5, 75], create an equation that equals 87. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 40, 57, 75]
try 57 - 5 = 52
state [40, 52, 75]
try 52 - 40 = 12
state [12, 75]
try 75 + 12 = 87
state [87]
</think>
<answer> (75 + ((57 - 5) - 40)) </answer> | train | 26 | 1 | [
40,
57,
5,
75
] | 87 | (75 + ((57 - 5) - 40)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [40, 57, 5, 75], create an equation that equals 87. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 40, 57, 75]
try 75 - 57 = 18
state [5, 18, 40]
backtrack
try 57 - 5 = 52
state [40, 52, 75]
try 75 + 52 = 127
state [40, 127]
try 127 - 40 = 87
state [87]
</think>
<answer> ((75 + (57 - 5)) - 40) </answer> | train | 26 | 2 | [
40,
57,
5,
75
] | 87 | ((75 + (57 - 5)) - 40) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [29, 87, 93, 87], create an equation that equals 56. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [29, 87, 87, 93]
try 29 * 93 = 2697
state [87, 87, 2697]
try 2697 - 87 = 2610
state [87, 2610]
backtrack
try 2697 / 87 = 31
state [31, 87]
try 87 - 31 = 56
state [56]
</think>
<answer> (87 - ((29 * 93) / 87)) </answer> | train | 27 | 0 | [
29,
87,
93,
87
] | 56 | (87 - ((29 * 93) / 87)) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [29, 87, 93, 87], create an equation that equals 56. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [29, 87, 87, 93]
try 93 - 87 = 6
state [6, 29, 87]
backtrack
try 87 / 29 = 3
state [3, 87, 93]
try 93 / 3 = 31
state [31, 87]
try 87 - 31 = 56
state [56]
</think>
<answer> (87 - (93 / (87 / 29))) </answer> | train | 27 | 1 | [
29,
87,
93,
87
] | 56 | (87 - (93 / (87 / 29))) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [15, 18, 6, 5], create an equation that equals 60. You can use basic arithmetic operations (+, -, *, /), and... | <think>
state [5, 6, 15, 18]
try 15 * 18 = 270
state [5, 6, 270]
try 270 / 5 = 54
state [6, 54]
try 54 / 6 = 9
state [9]
backtrack
try 6 + 54 = 60
state [60]
</think>
<answer> (6 + ((15 * 18) / 5)) </answer> | train | 28 | 0 | [
15,
18,
6,
5
] | 60 | (6 + ((15 * 18) / 5)) | 3 | backtrack_v3 | 1 | 3 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [15, 18, 6, 5], create an equation that equals 60. You can use basic arithmetic operations (+, -, *, /), and... | <think>
state [5, 6, 15, 18]
try 15 + 5 = 20
state [6, 18, 20]
try 18 * 20 = 360
state [6, 360]
try 360 / 6 = 60
state [60]
</think>
<answer> ((18 * (15 + 5)) / 6) </answer> | train | 28 | 1 | [
15,
18,
6,
5
] | 60 | ((18 * (15 + 5)) / 6) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [15, 18, 6, 5], create an equation that equals 60. You can use basic arithmetic operations (+, -, *, /), and... | <think>
state [5, 6, 15, 18]
try 15 + 5 = 20
state [6, 18, 20]
try 18 / 6 = 3
state [3, 20]
try 20 * 3 = 60
state [60]
</think>
<answer> ((15 + 5) * (18 / 6)) </answer> | train | 28 | 2 | [
15,
18,
6,
5
] | 60 | ((15 + 5) * (18 / 6)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [79, 53, 36, 5], create an equation that equals 48. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 36, 53, 79]
try 79 + 53 = 132
state [5, 36, 132]
try 36 * 5 = 180
state [132, 180]
try 180 - 132 = 48
state [48]
</think>
<answer> ((36 * 5) - (79 + 53)) </answer> | train | 29 | 0 | [
79,
53,
36,
5
] | 48 | ((36 * 5) - (79 + 53)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [79, 53, 36, 5], create an equation that equals 48. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 36, 53, 79]
try 36 * 5 = 180
state [53, 79, 180]
try 180 - 79 = 101
state [53, 101]
try 101 - 53 = 48
state [48]
</think>
<answer> (((36 * 5) - 79) - 53) </answer> | train | 29 | 1 | [
79,
53,
36,
5
] | 48 | (((36 * 5) - 79) - 53) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [79, 53, 36, 5], create an equation that equals 48. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 36, 53, 79]
try 36 * 5 = 180
state [53, 79, 180]
try 180 - 53 = 127
state [79, 127]
try 127 - 79 = 48
state [48]
</think>
<answer> (((36 * 5) - 53) - 79) </answer> | train | 29 | 2 | [
79,
53,
36,
5
] | 48 | (((36 * 5) - 53) - 79) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [83, 82, 77, 3], create an equation that equals 98. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [3, 77, 82, 83]
try 82 - 77 = 5
state [3, 5, 83]
try 3 * 5 = 15
state [15, 83]
try 83 + 15 = 98
state [98]
</think>
<answer> (83 + (3 * (82 - 77))) </answer> | train | 30 | 0 | [
83,
82,
77,
3
] | 98 | (83 + (3 * (82 - 77))) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [17, 2, 46, 31], create an equation that equals 16. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [2, 17, 31, 46]
try 31 - 17 = 14
state [2, 14, 46]
try 46 - 14 = 32
state [2, 32]
try 32 / 2 = 16
state [16]
</think>
<answer> ((46 - (31 - 17)) / 2) </answer> | train | 31 | 0 | [
17,
2,
46,
31
] | 16 | ((46 - (31 - 17)) / 2) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [17, 2, 46, 31], create an equation that equals 16. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [2, 17, 31, 46]
try 46 - 31 = 15
state [2, 15, 17]
try 17 - 15 = 2
state [2, 2]
backtrack
try 17 + 15 = 32
state [2, 32]
try 32 / 2 = 16
state [16]
</think>
<answer> ((17 + (46 - 31)) / 2) </answer> | train | 31 | 1 | [
17,
2,
46,
31
] | 16 | ((17 + (46 - 31)) / 2) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [17, 2, 46, 31], create an equation that equals 16. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [2, 17, 31, 46]
try 17 + 46 = 63
state [2, 31, 63]
try 63 - 2 = 61
state [31, 61]
backtrack
try 63 - 31 = 32
state [2, 32]
try 32 / 2 = 16
state [16]
</think>
<answer> (((17 + 46) - 31) / 2) </answer> | train | 31 | 2 | [
17,
2,
46,
31
] | 16 | (((17 + 46) - 31) / 2) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [87, 11, 35, 57], create an equation that equals 85. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [11, 35, 57, 87]
try 87 - 57 = 30
state [11, 30, 35]
backtrack
try 57 - 35 = 22
state [11, 22, 87]
try 22 / 11 = 2
state [2, 87]
try 87 - 2 = 85
state [85]
</think>
<answer> (87 - ((57 - 35) / 11)) </answer> | train | 32 | 0 | [
87,
11,
35,
57
] | 85 | (87 - ((57 - 35) / 11)) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [63, 68, 86, 40], create an equation that equals 94. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [40, 63, 68, 86]
try 68 - 63 = 5
state [5, 40, 86]
try 40 / 5 = 8
state [8, 86]
try 86 + 8 = 94
state [94]
</think>
<answer> (86 + (40 / (68 - 63))) </answer> | train | 33 | 0 | [
63,
68,
86,
40
] | 94 | (86 + (40 / (68 - 63))) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [6, 56, 3, 59], create an equation that equals 15. You can use basic arithmetic operations (+, -, *, /), and... | <think>
state [3, 6, 56, 59]
try 6 * 3 = 18
state [18, 56, 59]
try 59 - 18 = 41
state [41, 56]
backtrack
try 59 - 56 = 3
state [3, 18]
try 18 - 3 = 15
state [15]
</think>
<answer> ((6 * 3) - (59 - 56)) </answer> | train | 34 | 0 | [
6,
56,
3,
59
] | 15 | ((6 * 3) - (59 - 56)) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [6, 56, 3, 59], create an equation that equals 15. You can use basic arithmetic operations (+, -, *, /), and... | <think>
state [3, 6, 56, 59]
try 6 * 3 = 18
state [18, 56, 59]
try 56 + 18 = 74
state [59, 74]
try 74 - 59 = 15
state [15]
</think>
<answer> ((56 + (6 * 3)) - 59) </answer> | train | 34 | 1 | [
6,
56,
3,
59
] | 15 | ((56 + (6 * 3)) - 59) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [6, 56, 3, 59], create an equation that equals 15. You can use basic arithmetic operations (+, -, *, /), and... | <think>
state [3, 6, 56, 59]
try 59 - 56 = 3
state [3, 3, 6]
backtrack
try 6 * 3 = 18
state [18, 56, 59]
try 59 - 18 = 41
state [41, 56]
try 56 - 41 = 15
state [15]
</think>
<answer> (56 - (59 - (6 * 3))) </answer> | train | 34 | 2 | [
6,
56,
3,
59
] | 15 | (56 - (59 - (6 * 3))) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [68, 11, 51, 40], create an equation that equals 19. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [11, 40, 51, 68]
try 51 * 40 = 2040
state [11, 68, 2040]
try 2040 / 68 = 30
state [11, 30]
try 30 - 11 = 19
state [19]
</think>
<answer> (((51 * 40) / 68) - 11) </answer> | train | 35 | 0 | [
68,
11,
51,
40
] | 19 | (((51 * 40) / 68) - 11) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [68, 12, 83, 86], create an equation that equals 53. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [12, 68, 83, 86]
try 83 - 12 = 71
state [68, 71, 86]
try 68 + 71 = 139
state [86, 139]
try 86 + 139 = 225
state [225]
backtrack
try 139 - 86 = 53
state [53]
</think>
<answer> ((68 + (83 - 12)) - 86) </answer> | train | 36 | 0 | [
68,
12,
83,
86
] | 53 | ((68 + (83 - 12)) - 86) | 3 | backtrack_v3 | 1 | 3 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [68, 12, 83, 86], create an equation that equals 53. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [12, 68, 83, 86]
try 83 - 12 = 71
state [68, 71, 86]
try 86 - 71 = 15
state [15, 68]
try 68 - 15 = 53
state [53]
</think>
<answer> (68 - (86 - (83 - 12))) </answer> | train | 36 | 1 | [
68,
12,
83,
86
] | 53 | (68 - (86 - (83 - 12))) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [68, 12, 83, 86], create an equation that equals 53. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [12, 68, 83, 86]
try 83 - 12 = 71
state [68, 71, 86]
try 86 - 68 = 18
state [18, 71]
try 18 + 71 = 89
state [89]
backtrack
try 71 - 18 = 53
state [53]
</think>
<answer> ((83 - 12) - (86 - 68)) </answer> | train | 36 | 2 | [
68,
12,
83,
86
] | 53 | ((83 - 12) - (86 - 68)) | 3 | backtrack_v3 | 1 | 3 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [20, 21, 24, 89], create an equation that equals 64. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [20, 21, 24, 89]
try 20 + 89 = 109
state [21, 24, 109]
try 109 - 24 = 85
state [21, 85]
try 85 - 21 = 64
state [64]
</think>
<answer> (((20 + 89) - 24) - 21) </answer> | train | 37 | 0 | [
20,
21,
24,
89
] | 64 | (((20 + 89) - 24) - 21) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [20, 21, 24, 89], create an equation that equals 64. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [20, 21, 24, 89]
try 20 + 89 = 109
state [21, 24, 109]
try 109 - 24 = 85
state [21, 85]
backtrack
try 109 - 21 = 88
state [24, 88]
try 88 - 24 = 64
state [64]
</think>
<answer> (((20 + 89) - 21) - 24) </answer> | train | 37 | 1 | [
20,
21,
24,
89
] | 64 | (((20 + 89) - 21) - 24) | 3 | backtrack_v3 | 1 | 2 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [20, 21, 24, 89], create an equation that equals 64. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [20, 21, 24, 89]
try 20 + 89 = 109
state [21, 24, 109]
try 21 + 24 = 45
state [45, 109]
try 109 - 45 = 64
state [64]
</think>
<answer> ((20 + 89) - (21 + 24)) </answer> | train | 37 | 2 | [
20,
21,
24,
89
] | 64 | ((20 + 89) - (21 + 24)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [11, 68, 47, 9], create an equation that equals 89. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [9, 11, 47, 68]
try 11 - 9 = 2
state [2, 47, 68]
try 68 * 2 = 136
state [47, 136]
try 47 + 136 = 183
state [183]
backtrack
try 136 - 47 = 89
state [89]
</think>
<answer> ((68 * (11 - 9)) - 47) </answer> | train | 38 | 0 | [
11,
68,
47,
9
] | 89 | ((68 * (11 - 9)) - 47) | 3 | backtrack_v3 | 1 | 3 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [75, 95, 97], create an equation that equals 77. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [75, 95, 97]
try 97 - 95 = 2
state [2, 75]
try 75 + 2 = 77
state [77]
</think>
<answer> (75 + (97 - 95)) </answer> | train | 39 | 0 | [
75,
95,
97
] | 77 | (75 + (97 - 95)) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [75, 95, 97], create an equation that equals 77. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [75, 95, 97]
try 95 - 75 = 20
state [20, 97]
try 97 - 20 = 77
state [77]
</think>
<answer> (97 - (95 - 75)) </answer> | train | 39 | 1 | [
75,
95,
97
] | 77 | (97 - (95 - 75)) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [75, 95, 97], create an equation that equals 77. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [75, 95, 97]
try 97 - 95 = 2
state [2, 75]
backtrack
try 75 + 97 = 172
state [95, 172]
try 172 - 95 = 77
state [77]
</think>
<answer> ((75 + 97) - 95) </answer> | train | 39 | 2 | [
75,
95,
97
] | 77 | ((75 + 97) - 95) | 2 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [59, 5, 38, 26], create an equation that equals 52. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 26, 38, 59]
try 5 + 26 = 31
state [31, 38, 59]
try 59 + 31 = 90
state [38, 90]
try 90 - 38 = 52
state [52]
</think>
<answer> ((59 + (5 + 26)) - 38) </answer> | train | 40 | 0 | [
59,
5,
38,
26
] | 52 | ((59 + (5 + 26)) - 38) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [59, 5, 38, 26], create an equation that equals 52. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 26, 38, 59]
try 5 + 26 = 31
state [31, 38, 59]
try 59 - 38 = 21
state [21, 31]
try 31 - 21 = 10
state [10]
backtrack
try 31 + 21 = 52
state [52]
</think>
<answer> ((5 + 26) + (59 - 38)) </answer> | train | 40 | 1 | [
59,
5,
38,
26
] | 52 | ((5 + 26) + (59 - 38)) | 3 | backtrack_v3 | 1 | 3 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [59, 5, 38, 26], create an equation that equals 52. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [5, 26, 38, 59]
try 59 - 38 = 21
state [5, 21, 26]
backtrack
try 5 + 26 = 31
state [31, 38, 59]
try 38 - 31 = 7
state [7, 59]
try 59 - 7 = 52
state [52]
</think>
<answer> (59 - (38 - (5 + 26))) </answer> | train | 40 | 2 | [
59,
5,
38,
26
] | 52 | (59 - (38 - (5 + 26))) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [10, 17, 41, 83], create an equation that equals 15. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [10, 17, 41, 83]
try 83 - 17 = 66
state [10, 41, 66]
backtrack
try 83 - 41 = 42
state [10, 17, 42]
try 10 + 17 = 27
state [27, 42]
try 42 - 27 = 15
state [15]
</think>
<answer> ((83 - 41) - (10 + 17)) </answer> | train | 41 | 0 | [
10,
17,
41,
83
] | 15 | ((83 - 41) - (10 + 17)) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [10, 17, 41, 83], create an equation that equals 15. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [10, 17, 41, 83]
try 83 - 41 = 42
state [10, 17, 42]
try 42 - 17 = 25
state [10, 25]
try 10 + 25 = 35
state [35]
backtrack
try 25 - 10 = 15
state [15]
</think>
<answer> (((83 - 41) - 17) - 10) </answer> | train | 41 | 1 | [
10,
17,
41,
83
] | 15 | (((83 - 41) - 17) - 10) | 3 | backtrack_v3 | 1 | 3 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [10, 17, 41, 83], create an equation that equals 15. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [10, 17, 41, 83]
try 83 - 41 = 42
state [10, 17, 42]
try 42 - 10 = 32
state [17, 32]
try 32 - 17 = 15
state [15]
</think>
<answer> (((83 - 41) - 10) - 17) </answer> | train | 41 | 2 | [
10,
17,
41,
83
] | 15 | (((83 - 41) - 10) - 17) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [67, 37, 11], create an equation that equals 19. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [11, 37, 67]
try 67 - 11 = 56
state [37, 56]
try 56 - 37 = 19
state [19]
</think>
<answer> ((67 - 11) - 37) </answer> | train | 42 | 0 | [
67,
37,
11
] | 19 | ((67 - 11) - 37) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [67, 37, 11], create an equation that equals 19. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [11, 37, 67]
try 67 - 11 = 56
state [37, 56]
backtrack
try 67 - 37 = 30
state [11, 30]
try 30 - 11 = 19
state [19]
</think>
<answer> ((67 - 37) - 11) </answer> | train | 42 | 1 | [
67,
37,
11
] | 19 | ((67 - 37) - 11) | 2 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [67, 37, 11], create an equation that equals 19. You can use basic arithmetic operations (+, -, *, /), and e... | <think>
state [11, 37, 67]
try 37 + 11 = 48
state [48, 67]
try 67 - 48 = 19
state [19]
</think>
<answer> (67 - (37 + 11)) </answer> | train | 42 | 2 | [
67,
37,
11
] | 19 | (67 - (37 + 11)) | 2 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [76, 75, 20, 22], create an equation that equals 42. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [20, 22, 75, 76]
try 20 + 22 = 42
state [42, 75, 76]
try 76 - 75 = 1
state [1, 42]
try 42 / 1 = 42
state [42]
</think>
<answer> ((20 + 22) / (76 - 75)) </answer> | train | 43 | 0 | [
76,
75,
20,
22
] | 42 | ((20 + 22) / (76 - 75)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [76, 75, 20, 22], create an equation that equals 42. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [20, 22, 75, 76]
try 20 + 22 = 42
state [42, 75, 76]
try 76 - 75 = 1
state [1, 42]
try 42 * 1 = 42
state [42]
</think>
<answer> ((20 + 22) * (76 - 75)) </answer> | train | 43 | 1 | [
76,
75,
20,
22
] | 42 | ((20 + 22) * (76 - 75)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [76, 75, 20, 22], create an equation that equals 42. You can use basic arithmetic operations (+, -, *, /), a... | <think>
state [20, 22, 75, 76]
try 76 - 75 = 1
state [1, 20, 22]
try 20 + 22 = 42
state [1, 42]
try 1 * 42 = 42
state [42]
</think>
<answer> ((76 - 75) * (20 + 22)) </answer> | train | 43 | 2 | [
76,
75,
20,
22
] | 42 | ((76 - 75) * (20 + 22)) | 3 | backtrack_v3 | 0 | null |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [80, 82, 4, 64], create an equation that equals 94. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [4, 64, 80, 82]
try 82 - 80 = 2
state [2, 4, 64]
backtrack
try 82 - 64 = 18
state [4, 18, 80]
try 80 - 4 = 76
state [18, 76]
try 18 + 76 = 94
state [94]
</think>
<answer> ((82 - 64) + (80 - 4)) </answer> | train | 44 | 0 | [
80,
82,
4,
64
] | 94 | ((82 - 64) + (80 - 4)) | 3 | backtrack_v3 | 1 | 1 |
A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant uses a structured arithmetic proof trace before providing the final answer.
User: Using the numbers [80, 82, 4, 64], create an equation that equals 94. You can use basic arithmetic operations (+, -, *, /), an... | <think>
state [4, 64, 80, 82]
try 82 - 64 = 18
state [4, 18, 80]
try 80 / 4 = 20
state [18, 20]
backtrack
try 80 + 18 = 98
state [4, 98]
try 98 - 4 = 94
state [94]
</think>
<answer> ((80 + (82 - 64)) - 4) </answer> | train | 44 | 1 | [
80,
82,
4,
64
] | 94 | ((80 + (82 - 64)) - 4) | 3 | backtrack_v3 | 1 | 2 |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 28