query string | source_split string | source_index int64 | variant_index int64 | numbers list | target int64 | answer_expr string | trace_type string | completion string | backtrack_count 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... | train | 0 | 0 | [
95,
36,
32
] | 91 | (95 - (36 - 32)) | backtrack | <think>
state [32, 36, 95]
try 36 * 95 = 3420
state [32, 3420]
backtrack
try 36 - 32 = 4
state [4, 95]
try 4 + 95 = 99
state [99]
backtrack
try 95 - 4 = 91
state [91]
</think>
<answer> (95 - (36 - 32)) </answer> | 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 [95, 36, 32], create an equation that equals 91. You can use basic arithmetic operations (+, -, *, /), and e... | train | 0 | 1 | [
95,
36,
32
] | 91 | ((95 + 32) - 36) | backtrack | <think>
state [32, 36, 95]
try 95 - 32 = 63
state [36, 63]
backtrack
try 95 + 32 = 127
state [36, 127]
try 36 * 127 = 4572
state [4572]
backtrack
try 127 - 36 = 91
state [91]
</think>
<answer> ((95 + 32) - 36) </answer> | 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 [95, 36, 32], create an equation that equals 91. You can use basic arithmetic operations (+, -, *, /), and e... | train | 0 | 2 | [
95,
36,
32
] | 91 | (32 + (95 - 36)) | backtrack | <think>
state [32, 36, 95]
try 95 - 32 = 63
state [36, 63]
backtrack
try 95 - 36 = 59
state [32, 59]
try 32 * 59 = 1888
state [1888]
backtrack
try 32 + 59 = 91
state [91]
</think>
<answer> (32 + (95 - 36)) </answer> | 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... | train | 1 | 0 | [
12,
76,
55,
5
] | 38 | (5 + (12 + (76 - 55))) | backtrack | <think>
state [5, 12, 55, 76]
try 12 * 55 = 660
state [5, 76, 660]
backtrack
try 76 - 55 = 21
state [5, 12, 21]
try 21 - 5 = 16
state [12, 16]
backtrack
try 12 + 21 = 33
state [5, 33]
try 5 + 33 = 38
state [38]
</think>
<answer> (5 + (12 + (76 - 55))) </answer> | 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... | train | 1 | 1 | [
12,
76,
55,
5
] | 38 | ((76 - 55) + (12 + 5)) | backtrack | <think>
state [5, 12, 55, 76]
try 55 + 76 = 131
state [5, 12, 131]
backtrack
try 76 - 55 = 21
state [5, 12, 21]
try 12 + 21 = 33
state [5, 33]
backtrack
try 12 + 5 = 17
state [17, 21]
try 21 + 17 = 38
state [38]
</think>
<answer> ((76 - 55) + (12 + 5)) </answer> | 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... | train | 1 | 2 | [
12,
76,
55,
5
] | 38 | (12 + (5 + (76 - 55))) | backtrack | <think>
state [5, 12, 55, 76]
try 76 - 5 = 71
state [12, 55, 71]
backtrack
try 76 - 55 = 21
state [5, 12, 21]
try 12 + 21 = 33
state [5, 33]
backtrack
try 5 + 21 = 26
state [12, 26]
try 12 + 26 = 38
state [38]
</think>
<answer> (12 + (5 + (76 - 55))) </answer> | 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... | train | 1 | 3 | [
12,
76,
55,
5
] | 38 | ((76 + 5) - (55 - 12)) | backtrack | <think>
state [5, 12, 55, 76]
try 55 - 5 = 50
state [12, 50, 76]
backtrack
try 76 + 5 = 81
state [12, 55, 81]
try 12 * 81 = 972
state [55, 972]
backtrack
try 55 - 12 = 43
state [43, 81]
try 81 - 43 = 38
state [38]
</think>
<answer> ((76 + 5) - (55 - 12)) </answer> | 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... | train | 2 | 0 | [
46,
27,
86
] | 13 | (86 - (46 + 27)) | backtrack | <think>
state [27, 46, 86]
try 27 + 86 = 113
state [46, 113]
backtrack
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> | 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... | train | 2 | 1 | [
46,
27,
86
] | 13 | ((86 - 27) - 46) | backtrack | <think>
state [27, 46, 86]
try 27 * 86 = 2322
state [46, 2322]
backtrack
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> | 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... | train | 2 | 2 | [
46,
27,
86
] | 13 | ((86 - 46) - 27) | backtrack | <think>
state [27, 46, 86]
try 46 + 86 = 132
state [27, 132]
backtrack
try 86 - 46 = 40
state [27, 40]
try 27 * 40 = 1080
state [1080]
backtrack
try 40 - 27 = 13
state [13]
</think>
<answer> ((86 - 46) - 27) </answer> | 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... | train | 3 | 0 | [
88,
83,
10,
78
] | 44 | (88 / (10 / (83 - 78))) | backtrack | <think>
state [10, 78, 83, 88]
try 83 + 88 = 171
state [10, 78, 171]
backtrack
try 83 - 78 = 5
state [5, 10, 88]
try 5 + 88 = 93
state [10, 93]
backtrack
try 10 / 5 = 2
state [2, 88]
try 88 / 2 = 44
state [44]
</think>
<answer> (88 / (10 / (83 - 78))) </answer> | 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... | train | 3 | 1 | [
88,
83,
10,
78
] | 44 | ((88 * (83 - 78)) / 10) | backtrack | <think>
state [10, 78, 83, 88]
try 83 - 10 = 73
state [73, 78, 88]
backtrack
try 83 - 78 = 5
state [5, 10, 88]
try 10 / 5 = 2
state [2, 88]
backtrack
try 88 * 5 = 440
state [10, 440]
try 440 / 10 = 44
state [44]
</think>
<answer> ((88 * (83 - 78)) / 10) </answer> | 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 [26, 20, 48, 98], create an equation that equals 91. You can use basic arithmetic operations (+, -, *, /), a... | train | 4 | 0 | [
26,
20,
48,
98
] | 91 | ((26 * 98) / (48 - 20)) | backtrack | <think>
state [20, 26, 48, 98]
try 20 * 26 = 520
state [48, 98, 520]
backtrack
try 26 * 98 = 2548
state [20, 48, 2548]
try 2548 - 48 = 2500
state [20, 2500]
backtrack
try 48 - 20 = 28
state [28, 2548]
try 2548 / 28 = 91
state [91]
</think>
<answer> ((26 * 98) / (48 - 20)) </answer> | 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... | train | 5 | 0 | [
74,
74,
61,
32
] | 30 | ((61 - 32) + (74 / 74)) | backtrack | <think>
state [32, 61, 74, 74]
try 74 - 32 = 42
state [42, 61, 74]
backtrack
try 61 - 32 = 29
state [29, 74, 74]
try 74 - 29 = 45
state [45, 74]
backtrack
try 74 / 74 = 1
state [1, 29]
try 29 + 1 = 30
state [30]
</think>
<answer> ((61 - 32) + (74 / 74)) </answer> | 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... | train | 5 | 1 | [
74,
74,
61,
32
] | 30 | ((74 / 74) + (61 - 32)) | backtrack | <think>
state [32, 61, 74, 74]
try 32 + 61 = 93
state [74, 74, 93]
backtrack
try 74 / 74 = 1
state [1, 32, 61]
try 32 + 61 = 93
state [1, 93]
backtrack
try 61 - 32 = 29
state [1, 29]
try 1 + 29 = 30
state [30]
</think>
<answer> ((74 / 74) + (61 - 32)) </answer> | 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... | train | 5 | 2 | [
74,
74,
61,
32
] | 30 | ((61 + (74 / 74)) - 32) | backtrack | <think>
state [32, 61, 74, 74]
try 74 - 74 = 0
state [0, 32, 61]
backtrack
try 74 / 74 = 1
state [1, 32, 61]
try 1 + 32 = 33
state [33, 61]
backtrack
try 61 + 1 = 62
state [32, 62]
try 62 - 32 = 30
state [30]
</think>
<answer> ((61 + (74 / 74)) - 32) </answer> | 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... | train | 5 | 3 | [
74,
74,
61,
32
] | 30 | (61 - (32 - (74 / 74))) | backtrack | <think>
state [32, 61, 74, 74]
try 74 - 32 = 42
state [42, 61, 74]
backtrack
try 74 / 74 = 1
state [1, 32, 61]
try 1 + 32 = 33
state [33, 61]
backtrack
try 32 - 1 = 31
state [31, 61]
try 61 - 31 = 30
state [30]
</think>
<answer> (61 - (32 - (74 / 74))) </answer> | 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... | train | 6 | 0 | [
73,
13,
10
] | 70 | ((73 + 10) - 13) | backtrack | <think>
state [10, 13, 73]
try 73 - 10 = 63
state [13, 63]
backtrack
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> | 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... | train | 6 | 1 | [
73,
13,
10
] | 70 | (73 - (13 - 10)) | backtrack | <think>
state [10, 13, 73]
try 10 + 73 = 83
state [13, 83]
backtrack
try 13 - 10 = 3
state [3, 73]
try 3 * 73 = 219
state [219]
backtrack
try 73 - 3 = 70
state [70]
</think>
<answer> (73 - (13 - 10)) </answer> | 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... | train | 6 | 2 | [
73,
13,
10
] | 70 | (10 + (73 - 13)) | backtrack | <think>
state [10, 13, 73]
try 13 - 10 = 3
state [3, 73]
backtrack
try 73 - 13 = 60
state [10, 60]
try 10 * 60 = 600
state [600]
backtrack
try 10 + 60 = 70
state [70]
</think>
<answer> (10 + (73 - 13)) </answer> | 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... | train | 7 | 0 | [
84,
68,
2,
86
] | 78 | (86 - ((84 - 68) / 2)) | backtrack | <think>
state [2, 68, 84, 86]
try 2 + 68 = 70
state [70, 84, 86]
backtrack
try 84 - 68 = 16
state [2, 16, 86]
try 2 + 86 = 88
state [16, 88]
backtrack
try 16 / 2 = 8
state [8, 86]
try 86 - 8 = 78
state [78]
</think>
<answer> (86 - ((84 - 68) / 2)) </answer> | 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 [27, 88, 82, 34], create an equation that equals 80. You can use basic arithmetic operations (+, -, *, /), a... | train | 8 | 0 | [
27,
88,
82,
34
] | 80 | (82 - ((88 - 34) / 27)) | backtrack | <think>
state [27, 34, 82, 88]
try 27 * 82 = 2214
state [34, 88, 2214]
backtrack
try 88 - 34 = 54
state [27, 54, 82]
try 54 + 82 = 136
state [27, 136]
backtrack
try 54 / 27 = 2
state [2, 82]
try 82 - 2 = 80
state [80]
</think>
<answer> (82 - ((88 - 34) / 27)) </answer> | 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 [14, 49, 5, 61], create an equation that equals 74. You can use basic arithmetic operations (+, -, *, /), an... | train | 9 | 0 | [
14,
49,
5,
61
] | 74 | (14 + (5 * (61 - 49))) | backtrack | <think>
state [5, 14, 49, 61]
try 5 + 14 = 19
state [19, 49, 61]
backtrack
try 61 - 49 = 12
state [5, 12, 14]
try 14 - 5 = 9
state [9, 12]
backtrack
try 5 * 12 = 60
state [14, 60]
try 14 + 60 = 74
state [74]
</think>
<answer> (14 + (5 * (61 - 49))) </answer> | 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... | train | 10 | 0 | [
16,
93,
39
] | 38 | ((93 - 39) - 16) | backtrack | <think>
state [16, 39, 93]
try 39 * 93 = 3627
state [16, 3627]
backtrack
try 93 - 39 = 54
state [16, 54]
try 16 * 54 = 864
state [864]
backtrack
try 54 - 16 = 38
state [38]
</think>
<answer> ((93 - 39) - 16) </answer> | 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... | train | 10 | 1 | [
16,
93,
39
] | 38 | ((93 - 16) - 39) | backtrack | <think>
state [16, 39, 93]
try 16 * 39 = 624
state [93, 624]
backtrack
try 93 - 16 = 77
state [39, 77]
try 39 * 77 = 3003
state [3003]
backtrack
try 77 - 39 = 38
state [38]
</think>
<answer> ((93 - 16) - 39) </answer> | 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... | train | 10 | 2 | [
16,
93,
39
] | 38 | (93 - (16 + 39)) | backtrack | <think>
state [16, 39, 93]
try 16 * 93 = 1488
state [39, 1488]
backtrack
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> | 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 [72, 32, 16], create an equation that equals 74. You can use basic arithmetic operations (+, -, *, /), and e... | train | 11 | 0 | [
72,
32,
16
] | 74 | (72 + (32 / 16)) | backtrack | <think>
state [16, 32, 72]
try 16 * 32 = 512
state [72, 512]
backtrack
try 32 / 16 = 2
state [2, 72]
try 2 * 72 = 144
state [144]
backtrack
try 72 + 2 = 74
state [74]
</think>
<answer> (72 + (32 / 16)) </answer> | 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 [51, 76, 73, 85], create an equation that equals 68. You can use basic arithmetic operations (+, -, *, /), a... | train | 12 | 0 | [
51,
76,
73,
85
] | 68 | (85 - (51 / (76 - 73))) | backtrack | <think>
state [51, 73, 76, 85]
try 51 + 73 = 124
state [76, 85, 124]
backtrack
try 76 - 73 = 3
state [3, 51, 85]
try 3 + 51 = 54
state [54, 85]
backtrack
try 51 / 3 = 17
state [17, 85]
try 85 - 17 = 68
state [68]
</think>
<answer> (85 - (51 / (76 - 73))) </answer> | 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 [51, 76, 73, 85], create an equation that equals 68. You can use basic arithmetic operations (+, -, *, /), a... | train | 12 | 1 | [
51,
76,
73,
85
] | 68 | ((51 * (76 - 73)) - 85) | backtrack | <think>
state [51, 73, 76, 85]
try 85 - 51 = 34
state [34, 73, 76]
backtrack
try 76 - 73 = 3
state [3, 51, 85]
try 51 * 85 = 4335
state [3, 4335]
backtrack
try 51 * 3 = 153
state [85, 153]
try 153 - 85 = 68
state [68]
</think>
<answer> ((51 * (76 - 73)) - 85) </answer> | 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 [55, 18, 60], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | train | 13 | 0 | [
55,
18,
60
] | 13 | (55 - (60 - 18)) | backtrack | <think>
state [18, 55, 60]
try 18 + 60 = 78
state [55, 78]
backtrack
try 60 - 18 = 42
state [42, 55]
try 42 + 55 = 97
state [97]
backtrack
try 55 - 42 = 13
state [13]
</think>
<answer> (55 - (60 - 18)) </answer> | 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 [55, 18, 60], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | train | 13 | 1 | [
55,
18,
60
] | 13 | ((55 + 18) - 60) | backtrack | <think>
state [18, 55, 60]
try 18 * 55 = 990
state [60, 990]
backtrack
try 55 + 18 = 73
state [60, 73]
try 60 * 73 = 4380
state [4380]
backtrack
try 73 - 60 = 13
state [13]
</think>
<answer> ((55 + 18) - 60) </answer> | 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 [55, 18, 60], create an equation that equals 13. You can use basic arithmetic operations (+, -, *, /), and e... | train | 13 | 2 | [
55,
18,
60
] | 13 | (18 - (60 - 55)) | backtrack | <think>
state [18, 55, 60]
try 18 * 60 = 1080
state [55, 1080]
backtrack
try 60 - 55 = 5
state [5, 18]
try 5 + 18 = 23
state [23]
backtrack
try 18 - 5 = 13
state [13]
</think>
<answer> (18 - (60 - 55)) </answer> | 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... | train | 14 | 0 | [
96,
70,
7
] | 33 | ((96 + 7) - 70) | backtrack | <think>
state [7, 70, 96]
try 7 * 96 = 672
state [70, 672]
backtrack
try 96 + 7 = 103
state [70, 103]
try 70 * 103 = 7210
state [7210]
backtrack
try 103 - 70 = 33
state [33]
</think>
<answer> ((96 + 7) - 70) </answer> | 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... | train | 14 | 1 | [
96,
70,
7
] | 33 | (96 - (70 - 7)) | backtrack | <think>
state [7, 70, 96]
try 7 * 70 = 490
state [96, 490]
backtrack
try 70 - 7 = 63
state [63, 96]
try 63 * 96 = 6048
state [6048]
backtrack
try 96 - 63 = 33
state [33]
</think>
<answer> (96 - (70 - 7)) </answer> | 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... | train | 14 | 2 | [
96,
70,
7
] | 33 | (7 + (96 - 70)) | backtrack | <think>
state [7, 70, 96]
try 70 * 96 = 6720
state [7, 6720]
backtrack
try 96 - 70 = 26
state [7, 26]
try 7 * 26 = 182
state [182]
backtrack
try 7 + 26 = 33
state [33]
</think>
<answer> (7 + (96 - 70)) </answer> | 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 [49, 44, 4, 64], create an equation that equals 54. You can use basic arithmetic operations (+, -, *, /), an... | train | 15 | 0 | [
49,
44,
4,
64
] | 54 | (49 + ((64 - 44) / 4)) | backtrack | <think>
state [4, 44, 49, 64]
try 4 + 44 = 48
state [48, 49, 64]
backtrack
try 64 - 44 = 20
state [4, 20, 49]
try 49 - 4 = 45
state [20, 45]
backtrack
try 20 / 4 = 5
state [5, 49]
try 49 + 5 = 54
state [54]
</think>
<answer> (49 + ((64 - 44) / 4)) </answer> | 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 [83, 92, 63, 58], create an equation that equals 51. You can use basic arithmetic operations (+, -, *, /), a... | train | 16 | 0 | [
83,
92,
63,
58
] | 51 | (58 - (63 / (92 - 83))) | backtrack | <think>
state [58, 63, 83, 92]
try 58 * 92 = 5336
state [63, 83, 5336]
backtrack
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> | 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... | train | 17 | 0 | [
61,
38,
5,
30
] | 12 | ((38 + 5) - (61 - 30)) | backtrack | <think>
state [5, 30, 38, 61]
try 61 - 30 = 31
state [5, 31, 38]
backtrack
try 38 + 5 = 43
state [30, 43, 61]
try 30 * 61 = 1830
state [43, 1830]
backtrack
try 61 - 30 = 31
state [31, 43]
try 43 - 31 = 12
state [12]
</think>
<answer> ((38 + 5) - (61 - 30)) </answer> | 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... | train | 17 | 1 | [
61,
38,
5,
30
] | 12 | (30 - (61 - (38 + 5))) | backtrack | <think>
state [5, 30, 38, 61]
try 5 * 30 = 150
state [38, 61, 150]
backtrack
try 38 + 5 = 43
state [30, 43, 61]
try 61 - 30 = 31
state [31, 43]
backtrack
try 61 - 43 = 18
state [18, 30]
try 30 - 18 = 12
state [12]
</think>
<answer> (30 - (61 - (38 + 5))) </answer> | 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... | train | 17 | 2 | [
61,
38,
5,
30
] | 12 | ((30 + (38 + 5)) - 61) | backtrack | <think>
state [5, 30, 38, 61]
try 5 + 61 = 66
state [30, 38, 66]
backtrack
try 38 + 5 = 43
state [30, 43, 61]
try 43 * 61 = 2623
state [30, 2623]
backtrack
try 30 + 43 = 73
state [61, 73]
try 73 - 61 = 12
state [12]
</think>
<answer> ((30 + (38 + 5)) - 61) </answer> | 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... | train | 17 | 3 | [
61,
38,
5,
30
] | 12 | (5 + ((38 + 30) - 61)) | backtrack | <think>
state [5, 30, 38, 61]
try 30 * 38 = 1140
state [5, 61, 1140]
backtrack
try 38 + 30 = 68
state [5, 61, 68]
try 5 * 61 = 305
state [68, 305]
backtrack
try 68 - 61 = 7
state [5, 7]
try 5 + 7 = 12
state [12]
</think>
<answer> (5 + ((38 + 30) - 61)) </answer> | 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 [1, 85, 70, 60], create an equation that equals 46. You can use basic arithmetic operations (+, -, *, /), an... | train | 18 | 0 | [
1,
85,
70,
60
] | 46 | ((70 + 60) - (85 - 1)) | backtrack | <think>
state [1, 60, 70, 85]
try 85 - 1 = 84
state [60, 70, 84]
backtrack
try 70 + 60 = 130
state [1, 85, 130]
try 130 - 85 = 45
state [1, 45]
backtrack
try 85 - 1 = 84
state [84, 130]
try 130 - 84 = 46
state [46]
</think>
<answer> ((70 + 60) - (85 - 1)) </answer> | 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 [1, 85, 70, 60], create an equation that equals 46. You can use basic arithmetic operations (+, -, *, /), an... | train | 18 | 1 | [
1,
85,
70,
60
] | 46 | ((1 + (70 + 60)) - 85) | backtrack | <think>
state [1, 60, 70, 85]
try 70 - 60 = 10
state [1, 10, 85]
backtrack
try 70 + 60 = 130
state [1, 85, 130]
try 85 * 130 = 11050
state [1, 11050]
backtrack
try 1 + 130 = 131
state [85, 131]
try 131 - 85 = 46
state [46]
</think>
<answer> ((1 + (70 + 60)) - 85) </answer> | 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 [1, 85, 70, 60], create an equation that equals 46. You can use basic arithmetic operations (+, -, *, /), an... | train | 18 | 2 | [
1,
85,
70,
60
] | 46 | (1 + ((70 + 60) - 85)) | backtrack | <think>
state [1, 60, 70, 85]
try 1 + 85 = 86
state [60, 70, 86]
backtrack
try 70 + 60 = 130
state [1, 85, 130]
try 1 + 130 = 131
state [85, 131]
backtrack
try 130 - 85 = 45
state [1, 45]
try 1 + 45 = 46
state [46]
</think>
<answer> (1 + ((70 + 60) - 85)) </answer> | 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 [1, 85, 70, 60], create an equation that equals 46. You can use basic arithmetic operations (+, -, *, /), an... | train | 18 | 3 | [
1,
85,
70,
60
] | 46 | (60 - ((85 - 1) - 70)) | backtrack | <think>
state [1, 60, 70, 85]
try 60 - 1 = 59
state [59, 70, 85]
backtrack
try 85 - 1 = 84
state [60, 70, 84]
try 70 * 84 = 5880
state [60, 5880]
backtrack
try 84 - 70 = 14
state [14, 60]
try 60 - 14 = 46
state [46]
</think>
<answer> (60 - ((85 - 1) - 70)) </answer> | 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... | train | 19 | 0 | [
81,
57,
98,
7
] | 62 | ((7 * (98 - 81)) - 57) | backtrack | <think>
state [7, 57, 81, 98]
try 57 - 7 = 50
state [50, 81, 98]
backtrack
try 98 - 81 = 17
state [7, 17, 57]
try 7 + 57 = 64
state [17, 64]
backtrack
try 7 * 17 = 119
state [57, 119]
try 119 - 57 = 62
state [62]
</think>
<answer> ((7 * (98 - 81)) - 57) </answer> | 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 [63, 16, 4, 81], create an equation that equals 36. You can use basic arithmetic operations (+, -, *, /), an... | train | 20 | 0 | [
63,
16,
4,
81
] | 36 | ((63 + 81) / (16 / 4)) | backtrack | <think>
state [4, 16, 63, 81]
try 16 + 81 = 97
state [4, 63, 97]
backtrack
try 16 / 4 = 4
state [4, 63, 81]
try 4 * 63 = 252
state [81, 252]
backtrack
try 63 + 81 = 144
state [4, 144]
try 144 / 4 = 36
state [36]
</think>
<answer> ((63 + 81) / (16 / 4)) </answer> | 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 [63, 16, 4, 81], create an equation that equals 36. You can use basic arithmetic operations (+, -, *, /), an... | train | 20 | 1 | [
63,
16,
4,
81
] | 36 | (4 * ((63 + 81) / 16)) | backtrack | <think>
state [4, 16, 63, 81]
try 4 + 63 = 67
state [16, 67, 81]
backtrack
try 63 + 81 = 144
state [4, 16, 144]
try 4 + 16 = 20
state [20, 144]
backtrack
try 144 / 16 = 9
state [4, 9]
try 4 * 9 = 36
state [36]
</think>
<answer> (4 * ((63 + 81) / 16)) </answer> | 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 [63, 16, 4, 81], create an equation that equals 36. You can use basic arithmetic operations (+, -, *, /), an... | train | 20 | 2 | [
63,
16,
4,
81
] | 36 | ((4 * (63 + 81)) / 16) | backtrack | <think>
state [4, 16, 63, 81]
try 4 * 16 = 64
state [63, 64, 81]
backtrack
try 63 + 81 = 144
state [4, 16, 144]
try 144 / 16 = 9
state [4, 9]
backtrack
try 4 * 144 = 576
state [16, 576]
try 576 / 16 = 36
state [36]
</think>
<answer> ((4 * (63 + 81)) / 16) </answer> | 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 [15, 60, 16, 83], create an equation that equals 87. You can use basic arithmetic operations (+, -, *, /), a... | train | 21 | 0 | [
15,
60,
16,
83
] | 87 | (83 + ((15 * 16) / 60)) | backtrack | <think>
state [15, 16, 60, 83]
try 60 / 15 = 4
state [4, 16, 83]
backtrack
try 15 * 16 = 240
state [60, 83, 240]
try 240 - 83 = 157
state [60, 157]
backtrack
try 240 / 60 = 4
state [4, 83]
try 83 + 4 = 87
state [87]
</think>
<answer> (83 + ((15 * 16) / 60)) </answer> | 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 [15, 60, 16, 83], create an equation that equals 87. You can use basic arithmetic operations (+, -, *, /), a... | train | 21 | 1 | [
15,
60,
16,
83
] | 87 | (83 + (16 / (60 / 15))) | backtrack | <think>
state [15, 16, 60, 83]
try 60 - 16 = 44
state [15, 44, 83]
backtrack
try 60 / 15 = 4
state [4, 16, 83]
try 83 - 4 = 79
state [16, 79]
backtrack
try 16 / 4 = 4
state [4, 83]
try 83 + 4 = 87
state [87]
</think>
<answer> (83 + (16 / (60 / 15))) </answer> | 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, 11, 43, 87], create an equation that equals 29. You can use basic arithmetic operations (+, -, *, /), a... | train | 22 | 0 | [
84,
11,
43,
87
] | 29 | (43 - (87 - (84 - 11))) | backtrack | <think>
state [11, 43, 84, 87]
try 84 + 87 = 171
state [11, 43, 171]
backtrack
try 84 - 11 = 73
state [43, 73, 87]
try 43 * 73 = 3139
state [87, 3139]
backtrack
try 87 - 73 = 14
state [14, 43]
try 43 - 14 = 29
state [29]
</think>
<answer> (43 - (87 - (84 - 11))) </answer> | 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, 11, 43, 87], create an equation that equals 29. You can use basic arithmetic operations (+, -, *, /), a... | train | 22 | 1 | [
84,
11,
43,
87
] | 29 | ((43 + (84 - 11)) - 87) | backtrack | <think>
state [11, 43, 84, 87]
try 11 * 87 = 957
state [43, 84, 957]
backtrack
try 84 - 11 = 73
state [43, 73, 87]
try 43 * 87 = 3741
state [73, 3741]
backtrack
try 43 + 73 = 116
state [87, 116]
try 116 - 87 = 29
state [29]
</think>
<answer> ((43 + (84 - 11)) - 87) </answer> | 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, 11, 43, 87], create an equation that equals 29. You can use basic arithmetic operations (+, -, *, /), a... | train | 22 | 2 | [
84,
11,
43,
87
] | 29 | ((84 - 11) - (87 - 43)) | backtrack | <think>
state [11, 43, 84, 87]
try 87 - 43 = 44
state [11, 44, 84]
backtrack
try 84 - 11 = 73
state [43, 73, 87]
try 87 - 73 = 14
state [14, 43]
backtrack
try 87 - 43 = 44
state [44, 73]
try 73 - 44 = 29
state [29]
</think>
<answer> ((84 - 11) - (87 - 43)) </answer> | 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, 11, 43, 87], create an equation that equals 29. You can use basic arithmetic operations (+, -, *, /), a... | train | 22 | 3 | [
84,
11,
43,
87
] | 29 | ((84 + 43) - (11 + 87)) | backtrack | <think>
state [11, 43, 84, 87]
try 84 * 87 = 7308
state [11, 43, 7308]
backtrack
try 84 + 43 = 127
state [11, 87, 127]
try 11 * 87 = 957
state [127, 957]
backtrack
try 11 + 87 = 98
state [98, 127]
try 127 - 98 = 29
state [29]
</think>
<answer> ((84 + 43) - (11 + 87)) </answer> | 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 [63, 70, 5, 80], create an equation that equals 78. You can use basic arithmetic operations (+, -, *, /), an... | train | 23 | 0 | [
63,
70,
5,
80
] | 78 | (80 - (70 - (63 + 5))) | backtrack | <think>
state [5, 63, 70, 80]
try 80 / 5 = 16
state [16, 63, 70]
backtrack
try 63 + 5 = 68
state [68, 70, 80]
try 80 - 70 = 10
state [10, 68]
backtrack
try 70 - 68 = 2
state [2, 80]
try 80 - 2 = 78
state [78]
</think>
<answer> (80 - (70 - (63 + 5))) </answer> | 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 [63, 70, 5, 80], create an equation that equals 78. You can use basic arithmetic operations (+, -, *, /), an... | train | 23 | 1 | [
63,
70,
5,
80
] | 78 | ((80 + (63 + 5)) - 70) | backtrack | <think>
state [5, 63, 70, 80]
try 70 - 63 = 7
state [5, 7, 80]
backtrack
try 63 + 5 = 68
state [68, 70, 80]
try 68 * 70 = 4760
state [80, 4760]
backtrack
try 80 + 68 = 148
state [70, 148]
try 148 - 70 = 78
state [78]
</think>
<answer> ((80 + (63 + 5)) - 70) </answer> | 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 [63, 70, 5, 80], create an equation that equals 78. You can use basic arithmetic operations (+, -, *, /), an... | train | 23 | 2 | [
63,
70,
5,
80
] | 78 | ((63 + 5) + (80 - 70)) | backtrack | <think>
state [5, 63, 70, 80]
try 63 + 80 = 143
state [5, 70, 143]
backtrack
try 63 + 5 = 68
state [68, 70, 80]
try 70 - 68 = 2
state [2, 80]
backtrack
try 80 - 70 = 10
state [10, 68]
try 68 + 10 = 78
state [78]
</think>
<answer> ((63 + 5) + (80 - 70)) </answer> | 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 [63, 70, 5, 80], create an equation that equals 78. You can use basic arithmetic operations (+, -, *, /), an... | train | 23 | 3 | [
63,
70,
5,
80
] | 78 | (63 + (80 - (70 - 5))) | backtrack | <think>
state [5, 63, 70, 80]
try 63 * 80 = 5040
state [5, 70, 5040]
backtrack
try 70 - 5 = 65
state [63, 65, 80]
try 65 + 80 = 145
state [63, 145]
backtrack
try 80 - 65 = 15
state [15, 63]
try 63 + 15 = 78
state [78]
</think>
<answer> (63 + (80 - (70 - 5))) </answer> | 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 [4, 6, 42], create an equation that equals 18. You can use basic arithmetic operations (+, -, *, /), and eac... | train | 24 | 0 | [
4,
6,
42
] | 18 | (42 - (4 * 6)) | backtrack | <think>
state [4, 6, 42]
try 6 + 42 = 48
state [4, 48]
backtrack
try 4 * 6 = 24
state [24, 42]
try 24 + 42 = 66
state [66]
backtrack
try 42 - 24 = 18
state [18]
</think>
<answer> (42 - (4 * 6)) </answer> | 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, 64, 37, 30], create an equation that equals 17. You can use basic arithmetic operations (+, -, *, /), a... | train | 25 | 0 | [
96,
64,
37,
30
] | 17 | (37 - ((64 * 30) / 96)) | backtrack | <think>
state [30, 37, 64, 96]
try 37 * 64 = 2368
state [30, 96, 2368]
backtrack
try 64 * 30 = 1920
state [37, 96, 1920]
try 96 - 37 = 59
state [59, 1920]
backtrack
try 1920 / 96 = 20
state [20, 37]
try 37 - 20 = 17
state [17]
</think>
<answer> (37 - ((64 * 30) / 96)) </answer> | 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... | train | 26 | 0 | [
40,
57,
5,
75
] | 87 | (57 + (75 - (40 + 5))) | backtrack | <think>
state [5, 40, 57, 75]
try 75 - 57 = 18
state [5, 18, 40]
backtrack
try 40 + 5 = 45
state [45, 57, 75]
try 57 * 75 = 4275
state [45, 4275]
backtrack
try 75 - 45 = 30
state [30, 57]
try 57 + 30 = 87
state [87]
</think>
<answer> (57 + (75 - (40 + 5))) </answer> | 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... | train | 26 | 1 | [
40,
57,
5,
75
] | 87 | (75 + (57 - (40 + 5))) | backtrack | <think>
state [5, 40, 57, 75]
try 75 - 40 = 35
state [5, 35, 57]
backtrack
try 40 + 5 = 45
state [45, 57, 75]
try 45 * 75 = 3375
state [57, 3375]
backtrack
try 57 - 45 = 12
state [12, 75]
try 75 + 12 = 87
state [87]
</think>
<answer> (75 + (57 - (40 + 5))) </answer> | 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... | train | 26 | 2 | [
40,
57,
5,
75
] | 87 | ((57 + 75) - (40 + 5)) | backtrack | <think>
state [5, 40, 57, 75]
try 5 * 75 = 375
state [40, 57, 375]
backtrack
try 40 + 5 = 45
state [45, 57, 75]
try 57 - 45 = 12
state [12, 75]
backtrack
try 57 + 75 = 132
state [45, 132]
try 132 - 45 = 87
state [87]
</think>
<answer> ((57 + 75) - (40 + 5)) </answer> | 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... | train | 26 | 3 | [
40,
57,
5,
75
] | 87 | ((75 + (57 - 40)) - 5) | backtrack | <think>
state [5, 40, 57, 75]
try 40 + 57 = 97
state [5, 75, 97]
backtrack
try 57 - 40 = 17
state [5, 17, 75]
try 17 * 75 = 1275
state [5, 1275]
backtrack
try 75 + 17 = 92
state [5, 92]
try 92 - 5 = 87
state [87]
</think>
<answer> ((75 + (57 - 40)) - 5) </answer> | 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... | train | 27 | 0 | [
29,
87,
93,
87
] | 56 | (87 - (93 / (87 / 29))) | backtrack | <think>
state [29, 87, 87, 93]
try 29 * 87 = 2523
state [87, 93, 2523]
backtrack
try 87 / 29 = 3
state [3, 87, 93]
try 93 - 3 = 90
state [87, 90]
backtrack
try 93 / 3 = 31
state [31, 87]
try 87 - 31 = 56
state [56]
</think>
<answer> (87 - (93 / (87 / 29))) </answer> | 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... | train | 27 | 1 | [
29,
87,
93,
87
] | 56 | (87 - ((29 * 93) / 87)) | backtrack | <think>
state [29, 87, 87, 93]
try 87 - 87 = 0
state [0, 29, 93]
backtrack
try 29 * 93 = 2697
state [87, 87, 2697]
try 87 - 87 = 0
state [0, 2697]
backtrack
try 2697 / 87 = 31
state [31, 87]
try 87 - 31 = 56
state [56]
</think>
<answer> (87 - ((29 * 93) / 87)) </answer> | 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 [15, 18, 6, 5], create an equation that equals 60. You can use basic arithmetic operations (+, -, *, /), and... | train | 28 | 0 | [
15,
18,
6,
5
] | 60 | (5 * (15 - (18 / 6))) | backtrack | <think>
state [5, 6, 15, 18]
try 6 + 15 = 21
state [5, 18, 21]
backtrack
try 18 / 6 = 3
state [3, 5, 15]
try 15 / 5 = 3
state [3, 3]
backtrack
try 15 - 3 = 12
state [5, 12]
try 5 * 12 = 60
state [60]
</think>
<answer> (5 * (15 - (18 / 6))) </answer> | 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 [15, 18, 6, 5], create an equation that equals 60. You can use basic arithmetic operations (+, -, *, /), and... | train | 28 | 1 | [
15,
18,
6,
5
] | 60 | ((18 / 6) * (15 + 5)) | backtrack | <think>
state [5, 6, 15, 18]
try 5 * 15 = 75
state [6, 18, 75]
backtrack
try 18 / 6 = 3
state [3, 5, 15]
try 3 * 15 = 45
state [5, 45]
backtrack
try 15 + 5 = 20
state [3, 20]
try 3 * 20 = 60
state [60]
</think>
<answer> ((18 / 6) * (15 + 5)) </answer> | 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 [15, 18, 6, 5], create an equation that equals 60. You can use basic arithmetic operations (+, -, *, /), and... | train | 28 | 2 | [
15,
18,
6,
5
] | 60 | (6 + ((15 * 18) / 5)) | backtrack | <think>
state [5, 6, 15, 18]
try 15 - 6 = 9
state [5, 9, 18]
backtrack
try 15 * 18 = 270
state [5, 6, 270]
try 5 + 270 = 275
state [6, 275]
backtrack
try 270 / 5 = 54
state [6, 54]
try 6 + 54 = 60
state [60]
</think>
<answer> (6 + ((15 * 18) / 5)) </answer> | 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 [15, 18, 6, 5], create an equation that equals 60. You can use basic arithmetic operations (+, -, *, /), and... | train | 28 | 3 | [
15,
18,
6,
5
] | 60 | (6 + (18 * (15 / 5))) | backtrack | <think>
state [5, 6, 15, 18]
try 18 - 6 = 12
state [5, 12, 15]
backtrack
try 15 / 5 = 3
state [3, 6, 18]
try 18 / 3 = 6
state [6, 6]
backtrack
try 18 * 3 = 54
state [6, 54]
try 6 + 54 = 60
state [60]
</think>
<answer> (6 + (18 * (15 / 5))) </answer> | 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 [79, 53, 36, 5], create an equation that equals 48. You can use basic arithmetic operations (+, -, *, /), an... | train | 29 | 0 | [
79,
53,
36,
5
] | 48 | ((36 * 5) - (79 + 53)) | backtrack | <think>
state [5, 36, 53, 79]
try 5 + 53 = 58
state [36, 58, 79]
backtrack
try 79 + 53 = 132
state [5, 36, 132]
try 36 + 132 = 168
state [5, 168]
backtrack
try 36 * 5 = 180
state [132, 180]
try 180 - 132 = 48
state [48]
</think>
<answer> ((36 * 5) - (79 + 53)) </answer> | 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 [79, 53, 36, 5], create an equation that equals 48. You can use basic arithmetic operations (+, -, *, /), an... | train | 29 | 1 | [
79,
53,
36,
5
] | 48 | (((36 * 5) - 53) - 79) | backtrack | <think>
state [5, 36, 53, 79]
try 5 * 53 = 265
state [36, 79, 265]
backtrack
try 36 * 5 = 180
state [53, 79, 180]
try 53 + 180 = 233
state [79, 233]
backtrack
try 180 - 53 = 127
state [79, 127]
try 127 - 79 = 48
state [48]
</think>
<answer> (((36 * 5) - 53) - 79) </answer> | 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 [79, 53, 36, 5], create an equation that equals 48. You can use basic arithmetic operations (+, -, *, /), an... | train | 29 | 2 | [
79,
53,
36,
5
] | 48 | (((36 * 5) - 79) - 53) | backtrack | <think>
state [5, 36, 53, 79]
try 36 - 5 = 31
state [31, 53, 79]
backtrack
try 36 * 5 = 180
state [53, 79, 180]
try 79 - 53 = 26
state [26, 180]
backtrack
try 180 - 79 = 101
state [53, 101]
try 101 - 53 = 48
state [48]
</think>
<answer> (((36 * 5) - 79) - 53) </answer> | 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 [83, 82, 77, 3], create an equation that equals 98. You can use basic arithmetic operations (+, -, *, /), an... | train | 30 | 0 | [
83,
82,
77,
3
] | 98 | (83 + (3 * (82 - 77))) | backtrack | <think>
state [3, 77, 82, 83]
try 3 * 77 = 231
state [82, 83, 231]
backtrack
try 82 - 77 = 5
state [3, 5, 83]
try 83 - 5 = 78
state [3, 78]
backtrack
try 3 * 5 = 15
state [15, 83]
try 83 + 15 = 98
state [98]
</think>
<answer> (83 + (3 * (82 - 77))) </answer> | 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... | train | 31 | 0 | [
17,
2,
46,
31
] | 16 | ((46 - (31 - 17)) / 2) | backtrack | <think>
state [2, 17, 31, 46]
try 31 + 46 = 77
state [2, 17, 77]
backtrack
try 31 - 17 = 14
state [2, 14, 46]
try 2 * 14 = 28
state [28, 46]
backtrack
try 46 - 14 = 32
state [2, 32]
try 32 / 2 = 16
state [16]
</think>
<answer> ((46 - (31 - 17)) / 2) </answer> | 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... | train | 31 | 1 | [
17,
2,
46,
31
] | 16 | (((17 + 46) - 31) / 2) | backtrack | <think>
state [2, 17, 31, 46]
try 31 * 46 = 1426
state [2, 17, 1426]
backtrack
try 17 + 46 = 63
state [2, 31, 63]
try 31 * 63 = 1953
state [2, 1953]
backtrack
try 63 - 31 = 32
state [2, 32]
try 32 / 2 = 16
state [16]
</think>
<answer> (((17 + 46) - 31) / 2) </answer> | 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... | train | 31 | 2 | [
17,
2,
46,
31
] | 16 | ((17 + (46 - 31)) / 2) | backtrack | <think>
state [2, 17, 31, 46]
try 31 * 46 = 1426
state [2, 17, 1426]
backtrack
try 46 - 31 = 15
state [2, 15, 17]
try 2 * 17 = 34
state [15, 34]
backtrack
try 17 + 15 = 32
state [2, 32]
try 32 / 2 = 16
state [16]
</think>
<answer> ((17 + (46 - 31)) / 2) </answer> | 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... | train | 32 | 0 | [
87,
11,
35,
57
] | 85 | (87 - ((57 - 35) / 11)) | backtrack | <think>
state [11, 35, 57, 87]
try 35 * 57 = 1995
state [11, 87, 1995]
backtrack
try 57 - 35 = 22
state [11, 22, 87]
try 87 - 11 = 76
state [22, 76]
backtrack
try 22 / 11 = 2
state [2, 87]
try 87 - 2 = 85
state [85]
</think>
<answer> (87 - ((57 - 35) / 11)) </answer> | 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 [63, 68, 86, 40], create an equation that equals 94. You can use basic arithmetic operations (+, -, *, /), a... | train | 33 | 0 | [
63,
68,
86,
40
] | 94 | (86 + (40 / (68 - 63))) | backtrack | <think>
state [40, 63, 68, 86]
try 40 + 68 = 108
state [63, 86, 108]
backtrack
try 68 - 63 = 5
state [5, 40, 86]
try 40 + 86 = 126
state [5, 126]
backtrack
try 40 / 5 = 8
state [8, 86]
try 86 + 8 = 94
state [94]
</think>
<answer> (86 + (40 / (68 - 63))) </answer> | 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... | train | 34 | 0 | [
6,
56,
3,
59
] | 15 | ((6 * 3) - (59 - 56)) | backtrack | <think>
state [3, 6, 56, 59]
try 3 + 56 = 59
state [6, 59, 59]
backtrack
try 59 - 56 = 3
state [3, 3, 6]
try 6 / 3 = 2
state [2, 3]
backtrack
try 6 * 3 = 18
state [3, 18]
try 18 - 3 = 15
state [15]
</think>
<answer> ((6 * 3) - (59 - 56)) </answer> | 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... | train | 34 | 1 | [
6,
56,
3,
59
] | 15 | ((6 * (59 - 56)) - 3) | backtrack | <think>
state [3, 6, 56, 59]
try 56 - 3 = 53
state [6, 53, 59]
backtrack
try 59 - 56 = 3
state [3, 3, 6]
try 6 / 3 = 2
state [2, 3]
backtrack
try 6 * 3 = 18
state [3, 18]
try 18 - 3 = 15
state [15]
</think>
<answer> ((6 * (59 - 56)) - 3) </answer> | 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... | train | 34 | 2 | [
6,
56,
3,
59
] | 15 | (6 + (3 * (59 - 56))) | backtrack | <think>
state [3, 6, 56, 59]
try 3 + 56 = 59
state [6, 59, 59]
backtrack
try 59 - 56 = 3
state [3, 3, 6]
try 3 / 3 = 1
state [1, 6]
backtrack
try 3 * 3 = 9
state [6, 9]
try 6 + 9 = 15
state [15]
</think>
<answer> (6 + (3 * (59 - 56))) </answer> | 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... | train | 34 | 3 | [
6,
56,
3,
59
] | 15 | ((56 + (6 * 3)) - 59) | backtrack | <think>
state [3, 6, 56, 59]
try 6 * 59 = 354
state [3, 56, 354]
backtrack
try 6 * 3 = 18
state [18, 56, 59]
try 18 * 59 = 1062
state [56, 1062]
backtrack
try 56 + 18 = 74
state [59, 74]
try 74 - 59 = 15
state [15]
</think>
<answer> ((56 + (6 * 3)) - 59) </answer> | 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 [68, 11, 51, 40], create an equation that equals 19. You can use basic arithmetic operations (+, -, *, /), a... | train | 35 | 0 | [
68,
11,
51,
40
] | 19 | (((51 * 40) / 68) - 11) | backtrack | <think>
state [11, 40, 51, 68]
try 11 * 51 = 561
state [40, 68, 561]
backtrack
try 51 * 40 = 2040
state [11, 68, 2040]
try 11 * 2040 = 22440
state [68, 22440]
backtrack
try 2040 / 68 = 30
state [11, 30]
try 30 - 11 = 19
state [19]
</think>
<answer> (((51 * 40) / 68) - 11) </answer> | 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 [68, 12, 83, 86], create an equation that equals 53. You can use basic arithmetic operations (+, -, *, /), a... | train | 36 | 0 | [
68,
12,
83,
86
] | 53 | (((68 + 83) - 86) - 12) | backtrack | <think>
state [12, 68, 83, 86]
try 83 * 86 = 7138
state [12, 68, 7138]
backtrack
try 68 + 83 = 151
state [12, 86, 151]
try 12 + 151 = 163
state [86, 163]
backtrack
try 151 - 86 = 65
state [12, 65]
try 65 - 12 = 53
state [53]
</think>
<answer> (((68 + 83) - 86) - 12) </answer> | 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 [68, 12, 83, 86], create an equation that equals 53. You can use basic arithmetic operations (+, -, *, /), a... | train | 36 | 1 | [
68,
12,
83,
86
] | 53 | (((68 + 83) - 12) - 86) | backtrack | <think>
state [12, 68, 83, 86]
try 68 * 86 = 5848
state [12, 83, 5848]
backtrack
try 68 + 83 = 151
state [12, 86, 151]
try 86 - 12 = 74
state [74, 151]
backtrack
try 151 - 12 = 139
state [86, 139]
try 139 - 86 = 53
state [53]
</think>
<answer> (((68 + 83) - 12) - 86) </answer> | 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 [68, 12, 83, 86], create an equation that equals 53. You can use basic arithmetic operations (+, -, *, /), a... | train | 36 | 2 | [
68,
12,
83,
86
] | 53 | ((68 + 83) - (12 + 86)) | backtrack | <think>
state [12, 68, 83, 86]
try 86 - 12 = 74
state [68, 74, 83]
backtrack
try 68 + 83 = 151
state [12, 86, 151]
try 86 + 151 = 237
state [12, 237]
backtrack
try 12 + 86 = 98
state [98, 151]
try 151 - 98 = 53
state [53]
</think>
<answer> ((68 + 83) - (12 + 86)) </answer> | 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 [68, 12, 83, 86], create an equation that equals 53. You can use basic arithmetic operations (+, -, *, /), a... | train | 36 | 3 | [
68,
12,
83,
86
] | 53 | (68 - ((12 + 86) - 83)) | backtrack | <think>
state [12, 68, 83, 86]
try 12 + 68 = 80
state [80, 83, 86]
backtrack
try 12 + 86 = 98
state [68, 83, 98]
try 68 + 83 = 151
state [98, 151]
backtrack
try 98 - 83 = 15
state [15, 68]
try 68 - 15 = 53
state [53]
</think>
<answer> (68 - ((12 + 86) - 83)) </answer> | 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... | train | 37 | 0 | [
20,
21,
24,
89
] | 64 | ((89 - (24 - 20)) - 21) | backtrack | <think>
state [20, 21, 24, 89]
try 20 + 24 = 44
state [21, 44, 89]
backtrack
try 24 - 20 = 4
state [4, 21, 89]
try 21 - 4 = 17
state [17, 89]
backtrack
try 89 - 4 = 85
state [21, 85]
try 85 - 21 = 64
state [64]
</think>
<answer> ((89 - (24 - 20)) - 21) </answer> | 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... | train | 37 | 1 | [
20,
21,
24,
89
] | 64 | ((89 - 21) - (24 - 20)) | backtrack | <think>
state [20, 21, 24, 89]
try 20 + 21 = 41
state [24, 41, 89]
backtrack
try 24 - 20 = 4
state [4, 21, 89]
try 21 * 89 = 1869
state [4, 1869]
backtrack
try 89 - 21 = 68
state [4, 68]
try 68 - 4 = 64
state [64]
</think>
<answer> ((89 - 21) - (24 - 20)) </answer> | 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... | train | 37 | 2 | [
20,
21,
24,
89
] | 64 | (89 - (21 + (24 - 20))) | backtrack | <think>
state [20, 21, 24, 89]
try 24 * 89 = 2136
state [20, 21, 2136]
backtrack
try 24 - 20 = 4
state [4, 21, 89]
try 4 + 89 = 93
state [21, 93]
backtrack
try 21 + 4 = 25
state [25, 89]
try 89 - 25 = 64
state [64]
</think>
<answer> (89 - (21 + (24 - 20))) </answer> | 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... | train | 37 | 3 | [
20,
21,
24,
89
] | 64 | ((89 - (21 - 20)) - 24) | backtrack | <think>
state [20, 21, 24, 89]
try 20 * 24 = 480
state [21, 89, 480]
backtrack
try 21 - 20 = 1
state [1, 24, 89]
try 24 * 89 = 2136
state [1, 2136]
backtrack
try 89 - 1 = 88
state [24, 88]
try 88 - 24 = 64
state [64]
</think>
<answer> ((89 - (21 - 20)) - 24) </answer> | 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 [11, 68, 47, 9], create an equation that equals 89. You can use basic arithmetic operations (+, -, *, /), an... | train | 38 | 0 | [
11,
68,
47,
9
] | 89 | ((68 * (11 - 9)) - 47) | backtrack | <think>
state [9, 11, 47, 68]
try 9 * 47 = 423
state [11, 68, 423]
backtrack
try 11 - 9 = 2
state [2, 47, 68]
try 68 - 47 = 21
state [2, 21]
backtrack
try 68 * 2 = 136
state [47, 136]
try 136 - 47 = 89
state [89]
</think>
<answer> ((68 * (11 - 9)) - 47) </answer> | 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 [75, 95, 97], create an equation that equals 77. You can use basic arithmetic operations (+, -, *, /), and e... | train | 39 | 0 | [
75,
95,
97
] | 77 | (97 - (95 - 75)) | backtrack | <think>
state [75, 95, 97]
try 95 * 97 = 9215
state [75, 9215]
backtrack
try 95 - 75 = 20
state [20, 97]
try 20 + 97 = 117
state [117]
backtrack
try 97 - 20 = 77
state [77]
</think>
<answer> (97 - (95 - 75)) </answer> | 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 [75, 95, 97], create an equation that equals 77. You can use basic arithmetic operations (+, -, *, /), and e... | train | 39 | 1 | [
75,
95,
97
] | 77 | (75 + (97 - 95)) | backtrack | <think>
state [75, 95, 97]
try 97 - 75 = 22
state [22, 95]
backtrack
try 97 - 95 = 2
state [2, 75]
try 2 * 75 = 150
state [150]
backtrack
try 75 + 2 = 77
state [77]
</think>
<answer> (75 + (97 - 95)) </answer> | 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 [75, 95, 97], create an equation that equals 77. You can use basic arithmetic operations (+, -, *, /), and e... | train | 39 | 2 | [
75,
95,
97
] | 77 | ((75 + 97) - 95) | backtrack | <think>
state [75, 95, 97]
try 97 - 95 = 2
state [2, 75]
backtrack
try 75 + 97 = 172
state [95, 172]
try 95 + 172 = 267
state [267]
backtrack
try 172 - 95 = 77
state [77]
</think>
<answer> ((75 + 97) - 95) </answer> | 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 [59, 5, 38, 26], create an equation that equals 52. You can use basic arithmetic operations (+, -, *, /), an... | train | 40 | 0 | [
59,
5,
38,
26
] | 52 | ((26 + (59 + 5)) - 38) | backtrack | <think>
state [5, 26, 38, 59]
try 5 + 26 = 31
state [31, 38, 59]
backtrack
try 59 + 5 = 64
state [26, 38, 64]
try 38 + 64 = 102
state [26, 102]
backtrack
try 26 + 64 = 90
state [38, 90]
try 90 - 38 = 52
state [52]
</think>
<answer> ((26 + (59 + 5)) - 38) </answer> | 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 [59, 5, 38, 26], create an equation that equals 52. You can use basic arithmetic operations (+, -, *, /), an... | train | 40 | 1 | [
59,
5,
38,
26
] | 52 | ((59 + 5) - (38 - 26)) | backtrack | <think>
state [5, 26, 38, 59]
try 26 * 59 = 1534
state [5, 38, 1534]
backtrack
try 59 + 5 = 64
state [26, 38, 64]
try 26 + 64 = 90
state [38, 90]
backtrack
try 38 - 26 = 12
state [12, 64]
try 64 - 12 = 52
state [52]
</think>
<answer> ((59 + 5) - (38 - 26)) </answer> | 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 [59, 5, 38, 26], create an equation that equals 52. You can use basic arithmetic operations (+, -, *, /), an... | train | 40 | 2 | [
59,
5,
38,
26
] | 52 | (26 + ((59 + 5) - 38)) | backtrack | <think>
state [5, 26, 38, 59]
try 26 - 5 = 21
state [21, 38, 59]
backtrack
try 59 + 5 = 64
state [26, 38, 64]
try 38 - 26 = 12
state [12, 64]
backtrack
try 64 - 38 = 26
state [26, 26]
try 26 + 26 = 52
state [52]
</think>
<answer> (26 + ((59 + 5) - 38)) </answer> | 2 |
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