numbers
listlengths 4
4
| target
int64 10
100
| id
stringlengths 1
4
| response
stringlengths 28
21.7k
| completion_token
int64 9
27.4k
| prompt_token
int64 120
16.4k
| text
stringlengths 658
22.3k
|
|---|---|---|---|---|---|---|
[
79,
97,
95,
71
] | 63 |
1730
|
{
"formula": '(71*(97-95)) -79'
}
| 5,146 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 79, 97, 95, 71,
target: 63
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 63',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(71*(97-95)) -79'
}<|im_end|>
|
[
36,
18,
47,
62
] | 30 |
1771
|
{
"formula": '(36 / 18) * (62 - 47)'
}
| 934 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 36, 18, 47, 62,
target: 30
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 30',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(36 / 18) * (62 - 47)'
}<|im_end|>
|
[
54,
97,
89,
73
] | 94 |
1737
|
{
"formula": '97 - ((89 + 73) / 54)'
}
| 2,048 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 54, 97, 89, 73,
target: 94
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 94',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '97 - ((89 + 73) / 54)'
}<|im_end|>
|
[
86,
41,
34,
95
] | 66 |
1752
|
{
"formula": '86 - (95 - (41 + 34))',
}
| 1,036 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 86, 41, 34, 95,
target: 66
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 66',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '86 - (95 - (41 + 34))',
}<|im_end|>
|
[
49,
63,
37,
56
] | 41 |
1755
|
{
"formula": '37 + (56 / (63 - 49))'
}
| 936 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 49, 63, 37, 56,
target: 41
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 41',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '37 + (56 / (63 - 49))'
}<|im_end|>
|
[
35,
74,
61,
91
] | 42 |
1734
|
{
"formula": '35 + (91 / (74 - 61))'
}
| 5,573 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 35, 74, 61, 91,
target: 42
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 42',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '35 + (91 / (74 - 61))'
}<|im_end|>
|
[
30,
68,
19,
84
] | 27 |
1753
|
{
"formula": '(84 - 68) + (30 - 19)'
}
| 1,123 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 30, 68, 19, 84,
target: 27
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 27',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(84 - 68) + (30 - 19)'
}<|im_end|>
|
[
18,
48,
74,
80
] | 51 |
1673
|
{
"formula": '48 + (18/(80-74))'
}
| 2,124 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 18, 48, 74, 80,
target: 51
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 51',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '48 + (18/(80-74))'
}<|im_end|>
|
[
4,
11,
18,
8
] | 20 |
1539
|
{
"formula": "11 + 18/(8/4)"
}
| 2,495 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 11, 18, 8,
target: 20
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 20',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "11 + 18/(8/4)"
}<|im_end|>
|
[
6,
15,
75,
64
] | 49 |
1609
|
{
"formula": '(75 + 64) - (6 * 15)'
}
| 5,866 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 15, 75, 64,
target: 49
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 49',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(75 + 64) - (6 * 15)'
}<|im_end|>
|
[
90,
38,
19,
5
] | 100 |
1754
|
{
"formula": '90 + (38 / 19 * 5)'
}
| 1,045 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 90, 38, 19, 5,
target: 100
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 100',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '90 + (38 / 19 * 5)'
}<|im_end|>
|
[
62,
49,
4,
73
] | 90 |
1762
|
{
"formula": '62 + 4 + 73 - 49 = 90'
}
| 1,089 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 62, 49, 4, 73,
target: 90
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 90',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '62 + 4 + 73 - 49 = 90'
}<|im_end|>
|
[
60,
98,
3,
19
] | 54 |
1669
|
{
"formula": '(98 - 60) + (19 - 3)',
}
| 2,452 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 60, 98, 3, 19,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(98 - 60) + (19 - 3)',
}<|im_end|>
|
[
53,
42,
6,
100
] | 30 |
1757
|
{
"formula": '(100 - (53 + 42)) * 6'
}
| 2,586 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 53, 42, 6, 100,
target: 30
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 30',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(100 - (53 + 42)) * 6'
}<|im_end|>
|
[
70,
43,
51,
3
] | 27 |
1671
|
{
"formula": '(51 + 3) - (70 - 43)'
}
| 2,434 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 70, 43, 51, 3,
target: 27
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 27',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(51 + 3) - (70 - 43)'
}<|im_end|>
|
[
7,
2,
54,
65
] | 29 |
1761
|
{
"formula": '(65 - 54) * 2 + 7'
}
| 1,491 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 7, 2, 54, 65,
target: 29
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 29',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(65 - 54) * 2 + 7'
}<|im_end|>
|
[
39,
90,
6,
10
] | 84 |
1400
|
{
"formula": '((39 - 10) * 6) - 90'
}
| 4,941 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 39, 90, 6, 10,
target: 84
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 84',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((39 - 10) * 6) - 90'
}<|im_end|>
|
[
8,
80,
5,
90
] | 82 |
1764
|
{
"formula": "90 - (80 / 5) + 8"
}
| 1,243 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 8, 80, 5, 90,
target: 82
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 82',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "90 - (80 / 5) + 8"
}<|im_end|>
|
[
31,
31,
27,
47
] | 12 |
1778
|
{
"formula": '47 - (31 + (31 - 27))'
}
| 1,129 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 31, 31, 27, 47,
target: 12
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 12',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '47 - (31 + (31 - 27))'
}<|im_end|>
|
[
85,
79,
25,
95
] | 94 |
1715
|
{
"formula": "85 + 79 + 25 - 95"
}
| 4,657 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 85, 79, 25, 95,
target: 94
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 94',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "85 + 79 + 25 - 95"
}<|im_end|>
|
[
4,
2,
32,
100
] | 55 |
1790
|
{
"formula": "32 + (100 / 4) - 2 = 55"
}
| 1,616 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 2, 32, 100,
target: 55
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 55',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "32 + (100 / 4) - 2 = 55"
}<|im_end|>
|
[
24,
1,
8,
61
] | 59 |
1750
|
{
"formula": '61 - (24 / 8 - 1)'
}
| 2,364 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 24, 1, 8, 61,
target: 59
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 59',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '61 - (24 / 8 - 1)'
}<|im_end|>
|
[
2,
94,
38,
15
] | 82 |
1792
|
{
"formula": '(94 - (38 + 15)) * 2'
}
| 1,863 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 94, 38, 15,
target: 82
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 82',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(94 - (38 + 15)) * 2'
}<|im_end|>
|
[
56,
83,
55,
48
] | 20 |
1793
|
{
"formula": '(83 - 55) - (56 - 48)'
}
| 625 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 56, 83, 55, 48,
target: 20
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 20',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(83 - 55) - (56 - 48)'
}<|im_end|>
|
[
44,
25,
42,
31
] | 87 |
1533
|
{
"formula": '31*(44 - 42) + 25'
}
| 2,083 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 44, 25, 42, 31,
target: 87
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 87',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '31*(44 - 42) + 25'
}<|im_end|>
|
[
60,
41,
57,
77
] | 74 |
1731
|
{
"formula": '77 - (57 / (60 - 41))'
}
| 3,668 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 60, 41, 57, 77,
target: 74
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 74',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '77 - (57 / (60 - 41))'
}<|im_end|>
|
[
2,
86,
33,
14
] | 78 |
1775
|
{
"formula": '(86 - (33 + 14)) * 2'
}
| 1,771 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 86, 33, 14,
target: 78
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 78',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(86 - (33 + 14)) * 2'
}<|im_end|>
|
[
26,
39,
3,
60
] | 45 |
1782
|
{
"formula": '(26 + 39) - (60 / 3)'
}
| 1,424 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 26, 39, 3, 60,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(26 + 39) - (60 / 3)'
}<|im_end|>
|
[
26,
66,
39,
78
] | 72 |
1625
|
{
"formula": '66 + (78 / (39 - 26))'
}
| 9,696 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 26, 66, 39, 78,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '66 + (78 / (39 - 26))'
}<|im_end|>
|
[
79,
63,
51,
20
] | 87 |
1769
|
{
"formula": '79 + 20 + 51 - 63'
}
| 2,304 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 79, 63, 51, 20,
target: 87
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 87',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '79 + 20 + 51 - 63'
}<|im_end|>
|
[
96,
90,
59,
64
] | 11 |
1802
|
{
"formula": '(96 - 90) + (64 - 59)',
}
| 683 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 96, 90, 59, 64,
target: 11
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 11',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(96 - 90) + (64 - 59)',
}<|im_end|>
|
[
80,
90,
6,
9
] | 30 |
1785
|
{
"formula": "(90 - 80) * (9 - 6)"
}
| 1,059 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 80, 90, 6, 9,
target: 30
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 30',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(90 - 80) * (9 - 6)"
}<|im_end|>
|
[
38,
99,
79,
8
] | 10 |
1801
|
{
"formula": '(38 - 8) - (99 - 79)',
}
| 1,284 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 38, 99, 79, 8,
target: 10
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 10',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(38 - 8) - (99 - 79)',
}<|im_end|>
|
[
2,
7,
52,
33
] | 80 |
1779
|
{
"formula": '52 + 33 + 2 - 7',
}
| 1,268 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 7, 52, 33,
target: 80
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 80',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '52 + 33 + 2 - 7',
}<|im_end|>
|
[
2,
26,
49,
37
] | 16 |
1800
|
{
"formula": '(26 + 2) - (49 - 37)'
}
| 1,110 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 26, 49, 37,
target: 16
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 16',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(26 + 2) - (49 - 37)'
}<|im_end|>
|
[
16,
48,
22,
62
] | 54 |
1774
|
{
"formula": "62 - (48 / (22 - 16))"
}
| 1,600 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 16, 48, 22, 62,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "62 - (48 / (22 - 16))"
}<|im_end|>
|
[
15,
42,
65,
54
] | 62 |
1773
|
{
"formula": '65 - (42 - (54 - 15))'
}
| 2,682 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 15, 42, 65, 54,
target: 62
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 62',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '65 - (42 - (54 - 15))'
}<|im_end|>
|
[
7,
21,
59,
81
] | 66 |
1747
|
{
"formula": '(21 / 7) * (81 - 59)'
}
| 3,541 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 7, 21, 59, 81,
target: 66
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 66',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(21 / 7) * (81 - 59)'
}<|im_end|>
|
[
54,
55,
53,
87
] | 34 |
1763
|
{
"formula": '(87 - 53) * (55 - 54)'
}
| 2,385 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 54, 55, 53, 87,
target: 34
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 34',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(87 - 53) * (55 - 54)'
}<|im_end|>
|
[
17,
41,
8,
48
] | 17 |
1770
|
{
"formula": '(41 - (48 - 8)) * 17'
}
| 3,467 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 17, 41, 8, 48,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(41 - (48 - 8)) * 17'
}<|im_end|>
|
[
67,
41,
76,
4
] | 54 |
1809
|
{
"formula": '41 + (76 - (67 - 4))'
}
| 797 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 67, 41, 76, 4,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '41 + (76 - (67 - 4))'
}<|im_end|>
|
[
2,
49,
37,
25
] | 59 |
1816
|
{
"formula": '49 + 37 - 25 - 2 = 59'
}
| 1,752 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 49, 37, 25,
target: 59
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 59',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '49 + 37 - 25 - 2 = 59'
}<|im_end|>
|
[
60,
40,
26,
71
] | 65 |
1808
|
{
"formula": '60 + (71 - (40 + 26))',
}
| 1,282 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 60, 40, 26, 71,
target: 65
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 65',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '60 + (71 - (40 + 26))',
}<|im_end|>
|
[
69,
20,
23,
40
] | 17 |
1758
|
{
"formula": '40 - (69 / (23 - 20))',
}
| 4,132 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 69, 20, 23, 40,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '40 - (69 / (23 - 20))',
}<|im_end|>
|
[
66,
100,
31,
99
] | 50 |
1819
|
{
"formula": '100/(99 - (66 + 31))',
}
| 1,426 | 125 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 66, 100, 31, 99,
target: 50
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 50',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '100/(99 - (66 + 31))',
}<|im_end|>
|
[
32,
49,
9,
39
] | 51 |
1641
|
d need 32/3 ≈10.666, which isn't an integer. Hmm.
Alternatively, maybe 32 multiplied by something? 32 * (something) to get near 51. 32 * 1.6 is 51.2, but that's not helpful with integers.
Wait, perhaps using division. Let's see. Let's think of fractions. For example, 39 divided by 3 is 13, but again, need to get a 3 from somewhere. Maybe 9 divided by 3 is 3, but again, not sure.
Alternatively, maybe (49 - 32) = 17, then 17 + 39 = 56, then 56 -9 =47. Not 51.
Hmm. Let's try another approach. Let's see if combining two numbers first, then combining with others.
Suppose I take 32 and 9. 32 +9 =41. Then 41 plus 9? Wait, but I can't reuse 9. Wait, maybe 32 * 9? That's 288, way too big. 32 -9=23. Then 23 plus 49 is 72, then minus 39 gives 33. Not helpful.
Alternatively, 49 - 39 =10. Then 10 +32 +9=51. Wait, that's 10+32 is 42, plus 9 is 51. Wait, but 49-39 is 10, then adding 32 and 9. But that uses all four numbers: 49-39=10, then 10+32+9=51. Wait, but that would be (49 - 39) + 32 +9 =51. Let me check: 49-39 is 10, plus 32 is 42, plus 9 is 51. Yes! That works. But wait, does that use each number exactly once? Let's see: 49, 39, 32, 9. Yes, each is used once. So the formula would be (49 - 39) + 32 + 9 =51. But let me check the order of operations. Since addition is associative, the parentheses can be arranged as needed. Alternatively, written as 49 - 39 +32 +9. But that's the same as (49-39)+(32+9). Either way, it's valid. So that's a possible solution.
Wait, but let me confirm again. 49 minus 39 is 10, plus 32 is 42, plus 9 is 51. Yes, that's correct. So that's one way. But maybe there's another way? Let me see if there are other combinations.
Alternatively, maybe using multiplication. Let's see. For example, 3*9=27, but how to get a 3? Hmm. Alternatively, 39 divided by something. 39 divided by 3 is 13, but again, need a 3. Alternatively, 32 divided by something. Not sure.
Alternatively, 9*(something) to get close. 9*5=45, plus 6 would be 51. But how to get 5 and 6 from the remaining numbers. Hmm, maybe 32 - (49 - 39) =32 -10=22. Not helpful.
Alternatively, 39 + (49 - (32 -9)). Let's see: 32-9=23, 49-23=26, 39+26=65. Not 51.
Hmm. Alternatively, 49 + (32 - (39 -9)). Let's compute: 39-9=30, 32-30=2, 49+2=51. Oh! Wait, that's another way. Let me check:
39 -9 =30, then 32 -30 =2, then 49 +2 =51. So the formula would be 49 + (32 - (39 -9)). Let's verify each number is used once: 39,9 are used in the inner parentheses, 32 is subtracted by that result, then added to 49. Yes, all four numbers used once. So that's another valid solution. So that's (39 -9)=30, 32-30=2, then 49+2=51. So the formula would be 49 + (32 - (39 - 9)) =51. That's another way.
Alternatively, maybe even more operations. Let me see if there's a way with multiplication. For instance, 9*(something) plus something else. Let's see, 9*5=45, plus 6 is 51. How to get 5 and 6 from 32,49,39. Hmm, 39-34=5, but not sure. Alternatively, 32 divided by something. 32 divided by (something) to get 6? 32/ (something)=6 → something is 32/6 ≈5.333, which isn't an integer. Not helpful.
Alternatively, 49 - (something) =51? That would need something negative. Like 49 - (-2)=51, but how to get -2 from the other numbers. Maybe 32 - (39 +9) =32-48= -16. Not helpful.
Alternatively, 39 + (something). 39 +12=51. How to get 12 from 32,49,9. 32 - (49 -9)=32-40= -8. Not helpful. Hmm.
Alternatively, 49 + 3 =52, close but not quite. 3 comes from 9/3, but again, need a 3.
Alternatively, 32 +9=41, plus 10 is 51. 10 can be 49-39. So that's the first solution I thought of. So that's (49-39) +32 +9. So that's valid.
Alternatively, maybe using division. Let's see, 39 divided by something. 39 divided by 3 is 13. If I can get a 3 from 9 and something else. Like 9 -6=3, but how to get 6 from 32 and 49? Not sure.
Alternatively, 49 divided by something. 49 divided by 7 is 7, but again, not helpful.
Hmm, so the two possible solutions I found are:
1. (49 - 39) + 32 +9 =51
2. 49 + (32 - (39 -9)) =51
Either of these would work. Let me check if there are any other possibilities. Let me think of another approach.
What if I do 32 * (something) plus or minus. Let's see, 32*(something) to get near 51. 32*1.6 is 51.2, but that's not integer. Alternatively, 32 + (something). 32+19=51. How to get 19 from 49,9,39. 49-30=19, but 30 could be 39-9. So 49 - (39-9)=49-30=19. Then 32 +19=51. So that would be 32 + (49 - (39 -9)) =51. Wait, that's similar to the second solution but written differently. Let me see:
39-9=30, 49-30=19, then 32+19=51. So formula is 32 + (49 - (39 -9)). That's another way. So that's also valid.
Alternatively, maybe combining multiplication. Let's see, 9*(something) plus something else. Let's see, 9*5 +6=51. To get 5 and 6 from 32,49,39. Hmm, 39-34=5, but 34 is 32+2, but not sure. Alternatively, 32 divided by (something). Not sure.
Alternatively, 39 + (something). 39 +12=51. 12 can be 32 - (49 -9). Let's see: 49-9=40, 32-40= -8. Not helpful. Hmm.
Alternatively, 49 + (32 - (39 -9)) is the same as the second solution. So maybe those are the main options.
So between the two solutions, which one is better? The first one is simpler, just adding and subtracting. The second uses more parentheses but also works. Since the problem allows any valid formula, either is acceptable. Let me check the first one again:
(49 - 39) + 32 +9 = (10) +32 +9 =51. Yes, that's straightforward. So that's a valid formula. Alternatively, the second one is also correct. Since the problem requires exactly one formula, either is okay. Let me pick the first one because it's simpler. But let me confirm once more that all numbers are used once. 49,39,32,9: yes, each is used once. So that's valid.
Alternatively, maybe there's another way with multiplication. Let me think again. Suppose I do 9* (something) plus something else. Let's see, 9*5=45, plus 6 is 51. To get 5 and 6 from 32,49,39. Hmm, 39-34=5, but 34 is 32+2. Not helpful. Alternatively, 32 divided by (something). Not sure.
Alternatively, 3* (something). But how to get a 3. 9 divided by 3 is 3, but again, need a 3. Hmm.
Alternatively, 39 divided by 13 is 3, but 13 can be 49-36, but not sure.
Hmm, maybe I should stick with the first solution. Let me see if there's another approach. Let me try to use all four numbers in a different combination. For example, 32 +49 =81, then subtract (39 -9)=30, so 81-30=51. That would be (32 +49) - (39 -9) =51. Let's check:
32+49=81, 39-9=30, 81-30=51. Yes! That's another valid formula. So that's (32 +49) - (39 -9) =51. That uses all four numbers once. So that's another solution. So that's even simpler perhaps. Let me verify:
32+49 is 81, minus (39-9)=30, so 81-30=51. Yes, that works. So that's another formula. So that's (32 +49) - (39 -9) =51. That's a good one. So that's another way. So which one should I choose? The problem just needs one valid formula, so any of these would work. The third one might be the most straightforward.
So the formula could be written as (32 + 49) - (39 - 9) =51. Let me check the numbers again: 32,49,39,9. All used once. The operations are +, -, -, but with parentheses. Yes, that's valid. So that's a good answer.
Alternatively, maybe even written as 32 +49 -39 +9, but that would be 32+49=81, minus39=42, plus9=51. Wait, that's the same as (32+49) -39 +9. Which is equivalent to (32+49) - (39 -9). Because 32+49 -39 +9 = (32+49) + ( -39 +9) = (32+49) - (39-9). So both are equivalent. So the formula can be written either way, but the parentheses might be needed to clarify.
Alternatively, writing it as 32 +49 - (39 -9) would also work. So the formula could be written as 32 +49 - (39 -9). Let me check:
39-9 is 30, so 32+49 is 81, minus 30 is 51. Yes. So that's another way. So perhaps that's the simplest form.
So the formula can be written in multiple ways, but the key is that it uses all four numbers once with the allowed operations. Since the problem requires a single formula, any of these is acceptable. Let me choose the one that's most straightforward, perhaps the third one I found: (32 +49) - (39 -9) =51. Alternatively, the version without parentheses but using order of operations: 32 +49 -39 +9. But since subtraction is left associative, that would be (32+49) -39 +9 = (81-39)+9 =42+9=51. Which is the same as the other. So that's also valid. But since the problem allows parentheses, maybe using them to make it clearer.
Alternatively, the first solution I found was (49 -39) +32 +9. That's also valid. Let me see which one is better. The second approach (using 32+49 - (39-9)) might be more efficient. Let me confirm once again:
Yes, all numbers are used once, and the operations are correct. So I think that's a solid answer. Let me just make sure there are no other possible solutions. For example, using multiplication:
Suppose 9*(something) plus something else. Let's see, 9*5 +6=51. To get 5 and 6 from 32,49,39. Hmm, 39-34=5, but 34 is 32+2. Not helpful. Alternatively, 32 divided by (something). Not sure.
Alternatively, 39 - (something) =51? That would need negative numbers. 39 - (something) =51 → something is -12. How to get -12 from 32,49,9. Maybe (49 - (32 +9)) =49-41=8. Not helpful.
Hmm, so I think the best options are the ones I found earlier. Let me pick the one that uses the fewest parentheses or is simplest. The formula 32 +49 - (39 -9) is concise and clear. Alternatively, writing it as (32 +49) - (39 -9) is also good. Either way, it's valid. Let me go with that.
{
"formula": '(32 + 49) - (39 - 9)'
}
| 4,092 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 32, 49, 9, 39,
target: 51
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 51',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
d need 32/3 ≈10.666, which isn't an integer. Hmm.
Alternatively, maybe 32 multiplied by something? 32 * (something) to get near 51. 32 * 1.6 is 51.2, but that's not helpful with integers.
Wait, perhaps using division. Let's see. Let's think of fractions. For example, 39 divided by 3 is 13, but again, need to get a 3 from somewhere. Maybe 9 divided by 3 is 3, but again, not sure.
Alternatively, maybe (49 - 32) = 17, then 17 + 39 = 56, then 56 -9 =47. Not 51.
Hmm. Let's try another approach. Let's see if combining two numbers first, then combining with others.
Suppose I take 32 and 9. 32 +9 =41. Then 41 plus 9? Wait, but I can't reuse 9. Wait, maybe 32 * 9? That's 288, way too big. 32 -9=23. Then 23 plus 49 is 72, then minus 39 gives 33. Not helpful.
Alternatively, 49 - 39 =10. Then 10 +32 +9=51. Wait, that's 10+32 is 42, plus 9 is 51. Wait, but 49-39 is 10, then adding 32 and 9. But that uses all four numbers: 49-39=10, then 10+32+9=51. Wait, but that would be (49 - 39) + 32 +9 =51. Let me check: 49-39 is 10, plus 32 is 42, plus 9 is 51. Yes! That works. But wait, does that use each number exactly once? Let's see: 49, 39, 32, 9. Yes, each is used once. So the formula would be (49 - 39) + 32 + 9 =51. But let me check the order of operations. Since addition is associative, the parentheses can be arranged as needed. Alternatively, written as 49 - 39 +32 +9. But that's the same as (49-39)+(32+9). Either way, it's valid. So that's a possible solution.
Wait, but let me confirm again. 49 minus 39 is 10, plus 32 is 42, plus 9 is 51. Yes, that's correct. So that's one way. But maybe there's another way? Let me see if there are other combinations.
Alternatively, maybe using multiplication. Let's see. For example, 3*9=27, but how to get a 3? Hmm. Alternatively, 39 divided by something. 39 divided by 3 is 13, but again, need a 3. Alternatively, 32 divided by something. Not sure.
Alternatively, 9*(something) to get close. 9*5=45, plus 6 would be 51. But how to get 5 and 6 from the remaining numbers. Hmm, maybe 32 - (49 - 39) =32 -10=22. Not helpful.
Alternatively, 39 + (49 - (32 -9)). Let's see: 32-9=23, 49-23=26, 39+26=65. Not 51.
Hmm. Alternatively, 49 + (32 - (39 -9)). Let's compute: 39-9=30, 32-30=2, 49+2=51. Oh! Wait, that's another way. Let me check:
39 -9 =30, then 32 -30 =2, then 49 +2 =51. So the formula would be 49 + (32 - (39 -9)). Let's verify each number is used once: 39,9 are used in the inner parentheses, 32 is subtracted by that result, then added to 49. Yes, all four numbers used once. So that's another valid solution. So that's (39 -9)=30, 32-30=2, then 49+2=51. So the formula would be 49 + (32 - (39 - 9)) =51. That's another way.
Alternatively, maybe even more operations. Let me see if there's a way with multiplication. For instance, 9*(something) plus something else. Let's see, 9*5=45, plus 6 is 51. How to get 5 and 6 from 32,49,39. Hmm, 39-34=5, but not sure. Alternatively, 32 divided by something. 32 divided by (something) to get 6? 32/ (something)=6 → something is 32/6 ≈5.333, which isn't an integer. Not helpful.
Alternatively, 49 - (something) =51? That would need something negative. Like 49 - (-2)=51, but how to get -2 from the other numbers. Maybe 32 - (39 +9) =32-48= -16. Not helpful.
Alternatively, 39 + (something). 39 +12=51. How to get 12 from 32,49,9. 32 - (49 -9)=32-40= -8. Not helpful. Hmm.
Alternatively, 49 + 3 =52, close but not quite. 3 comes from 9/3, but again, need a 3.
Alternatively, 32 +9=41, plus 10 is 51. 10 can be 49-39. So that's the first solution I thought of. So that's (49-39) +32 +9. So that's valid.
Alternatively, maybe using division. Let's see, 39 divided by something. 39 divided by 3 is 13. If I can get a 3 from 9 and something else. Like 9 -6=3, but how to get 6 from 32 and 49? Not sure.
Alternatively, 49 divided by something. 49 divided by 7 is 7, but again, not helpful.
Hmm, so the two possible solutions I found are:
1. (49 - 39) + 32 +9 =51
2. 49 + (32 - (39 -9)) =51
Either of these would work. Let me check if there are any other possibilities. Let me think of another approach.
What if I do 32 * (something) plus or minus. Let's see, 32*(something) to get near 51. 32*1.6 is 51.2, but that's not integer. Alternatively, 32 + (something). 32+19=51. How to get 19 from 49,9,39. 49-30=19, but 30 could be 39-9. So 49 - (39-9)=49-30=19. Then 32 +19=51. So that would be 32 + (49 - (39 -9)) =51. Wait, that's similar to the second solution but written differently. Let me see:
39-9=30, 49-30=19, then 32+19=51. So formula is 32 + (49 - (39 -9)). That's another way. So that's also valid.
Alternatively, maybe combining multiplication. Let's see, 9*(something) plus something else. Let's see, 9*5 +6=51. To get 5 and 6 from 32,49,39. Hmm, 39-34=5, but 34 is 32+2, but not sure. Alternatively, 32 divided by (something). Not sure.
Alternatively, 39 + (something). 39 +12=51. 12 can be 32 - (49 -9). Let's see: 49-9=40, 32-40= -8. Not helpful. Hmm.
Alternatively, 49 + (32 - (39 -9)) is the same as the second solution. So maybe those are the main options.
So between the two solutions, which one is better? The first one is simpler, just adding and subtracting. The second uses more parentheses but also works. Since the problem allows any valid formula, either is acceptable. Let me check the first one again:
(49 - 39) + 32 +9 = (10) +32 +9 =51. Yes, that's straightforward. So that's a valid formula. Alternatively, the second one is also correct. Since the problem requires exactly one formula, either is okay. Let me pick the first one because it's simpler. But let me confirm once more that all numbers are used once. 49,39,32,9: yes, each is used once. So that's valid.
Alternatively, maybe there's another way with multiplication. Let me think again. Suppose I do 9* (something) plus something else. Let's see, 9*5=45, plus 6 is 51. To get 5 and 6 from 32,49,39. Hmm, 39-34=5, but 34 is 32+2. Not helpful. Alternatively, 32 divided by (something). Not sure.
Alternatively, 3* (something). But how to get a 3. 9 divided by 3 is 3, but again, need a 3. Hmm.
Alternatively, 39 divided by 13 is 3, but 13 can be 49-36, but not sure.
Hmm, maybe I should stick with the first solution. Let me see if there's another approach. Let me try to use all four numbers in a different combination. For example, 32 +49 =81, then subtract (39 -9)=30, so 81-30=51. That would be (32 +49) - (39 -9) =51. Let's check:
32+49=81, 39-9=30, 81-30=51. Yes! That's another valid formula. So that's (32 +49) - (39 -9) =51. That uses all four numbers once. So that's another solution. So that's even simpler perhaps. Let me verify:
32+49 is 81, minus (39-9)=30, so 81-30=51. Yes, that works. So that's another formula. So that's (32 +49) - (39 -9) =51. That's a good one. So that's another way. So which one should I choose? The problem just needs one valid formula, so any of these would work. The third one might be the most straightforward.
So the formula could be written as (32 + 49) - (39 - 9) =51. Let me check the numbers again: 32,49,39,9. All used once. The operations are +, -, -, but with parentheses. Yes, that's valid. So that's a good answer.
Alternatively, maybe even written as 32 +49 -39 +9, but that would be 32+49=81, minus39=42, plus9=51. Wait, that's the same as (32+49) -39 +9. Which is equivalent to (32+49) - (39 -9). Because 32+49 -39 +9 = (32+49) + ( -39 +9) = (32+49) - (39-9). So both are equivalent. So the formula can be written either way, but the parentheses might be needed to clarify.
Alternatively, writing it as 32 +49 - (39 -9) would also work. So the formula could be written as 32 +49 - (39 -9). Let me check:
39-9 is 30, so 32+49 is 81, minus 30 is 51. Yes. So that's another way. So perhaps that's the simplest form.
So the formula can be written in multiple ways, but the key is that it uses all four numbers once with the allowed operations. Since the problem requires a single formula, any of these is acceptable. Let me choose the one that's most straightforward, perhaps the third one I found: (32 +49) - (39 -9) =51. Alternatively, the version without parentheses but using order of operations: 32 +49 -39 +9. But since subtraction is left associative, that would be (32+49) -39 +9 = (81-39)+9 =42+9=51. Which is the same as the other. So that's also valid. But since the problem allows parentheses, maybe using them to make it clearer.
Alternatively, the first solution I found was (49 -39) +32 +9. That's also valid. Let me see which one is better. The second approach (using 32+49 - (39-9)) might be more efficient. Let me confirm once again:
Yes, all numbers are used once, and the operations are correct. So I think that's a solid answer. Let me just make sure there are no other possible solutions. For example, using multiplication:
Suppose 9*(something) plus something else. Let's see, 9*5 +6=51. To get 5 and 6 from 32,49,39. Hmm, 39-34=5, but 34 is 32+2. Not helpful. Alternatively, 32 divided by (something). Not sure.
Alternatively, 39 - (something) =51? That would need negative numbers. 39 - (something) =51 → something is -12. How to get -12 from 32,49,9. Maybe (49 - (32 +9)) =49-41=8. Not helpful.
Hmm, so I think the best options are the ones I found earlier. Let me pick the one that uses the fewest parentheses or is simplest. The formula 32 +49 - (39 -9) is concise and clear. Alternatively, writing it as (32 +49) - (39 -9) is also good. Either way, it's valid. Let me go with that.
{
"formula": '(32 + 49) - (39 - 9)'
}<|im_end|>
|
[
8,
80,
84,
18
] | 92 |
1789
|
{
"formula": '(80 / (18 - 8)) + 84'
}
| 2,234 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 8, 80, 84, 18,
target: 92
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 92',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(80 / (18 - 8)) + 84'
}<|im_end|>
|
[
86,
23,
84,
66
] | 10 |
1806
|
{
"formula": '(66/(86-84)) -23 =10'
}
| 1,283 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 86, 23, 84, 66,
target: 10
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 10',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(66/(86-84)) -23 =10'
}<|im_end|>
|
[
77,
92,
44,
88
] | 23 |
1765
|
{
"formula": '92/(44/(88-77))'
}
| 827 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 77, 92, 44, 88,
target: 23
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 23',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '92/(44/(88-77))'
}<|im_end|>
|
[
71,
62,
13,
7
] | 11 |
1684
|
{
"formula": "(62 + 7) - (71 - 13) = 11"
}
| 4,744 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 71, 62, 13, 7,
target: 11
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 11',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(62 + 7) - (71 - 13) = 11"
}<|im_end|>
|
[
30,
26,
96,
5
] | 19 |
1738
|
= (96*9)/19 ≈46. Not helpful.
Hmm.
Wait, maybe (26 - (96 / (30 -5))) =26 - (96/25)=26-3.84=22.16.
Hmm.
Hmm, I'm really stuck here. Maybe I need to try a different approach. Let me see if there's a way to combine three numbers first.
Let me try 96, 26, and 5.
96 - (26 +5)=65. Then 65 -30=35. Not helpful.
Alternatively, 26*5=130. 130-96=34. 34-30=4.
Hmm.
Alternatively, 96 divided by (26 -5)=96/21≈4.57. Not helpful.
Hmm.
Wait, maybe (30 - (96 / (26 -5))) =30 - (96/21)=30-4.57≈25.43.
Hmm.
Alternatively, (5*(something)) minus (something else). Let's see, 5*(something)=19 + something.
Wait, 5*4=20. 20-1=19. To get 4 from 30 and 26: 30-26=4. Then the remaining number is 96. So 5*(30-26) - (96 / something). But I can't use 96 again. Wait, but the numbers are 30,26,5,96. So if I use 30 and 26 for the 4, then 5*4=20. Then I have 96 left. To get 19, I need 20 minus 1, but where does the 1 come from? The remaining number is 96. So maybe 96 divided by something? But I can't use another number.
Hmm.
Wait, maybe (96 - (30 * (something))) divided by something. Let's see, 30*3=90. 96-90=6. 6 divided by (26-5)=6/21≈0.285. Not helpful.
Hmm.
Wait, maybe (26 - (5 + (96 /30))) =26 - (5 +3.2)=26-8.2=17.8.
Hmm.
Hmm, maybe I need to use division in a different way. Let me think of fractions again.
Wait, 96 divided by 5 is 19.2. If I can subtract 0.2, but that's not possible. Alternatively, maybe (96 divided by 5) minus (something).
Wait, 96/5 is 19.2. Subtract 0.2, but how?
Alternatively, (96 divided by 5) minus (something). Let's see, 19.2 - (something)=19. So that something is 0.2. But how to get 0.2 from 30 and 26?
Hmm.
Alternatively, (96 divided by (something)) minus (something else).
Wait, 96 divided by (something) to get 20, then subtract 1.
Wait, 96 divided by 4.8=20. But how to get 4.8 from 30,26,5.
Hmm.
Alternatively, maybe (30 - (26 -5)) =30-21=9. Then 96 divided by 9 is 10.666.
Hmm.
Hmm, I'm really stuck. Maybe I need to try all possible permutations.
Let me list all possible operations step by step.
The numbers are 30,26,96,5.
Possible operations:
First, pick two numbers to combine. Let's try all possible pairs.
Option 1: Combine 30 and 26 first.
Possible operations:
30+26=56. Then remaining numbers:56,96,5.
Then combine 56 and 96:
56+96=152, 96-56=40, 56*96=5376, 56/96≈0.583, 96/56≈1.714.
Then with the remaining 5.
For example, 40-5=35. Not helpful.
Alternatively, 56+96=152. Then 152-5=147.
Hmm.
Alternatively, 30-26=4. Remaining numbers:4,96,5.
Then combine 4 and 96:
4+96=100, 96-4=92, 4*96=384, 96/4=24, 4/96≈0.041.
Then with 5.
For example, 24+5=29. Not helpful.
Or 92-5=87.
Hmm.
Alternatively, 4*5=20. Then 20 and 96. 20+96=116, 96-20=76, etc.
Hmm.
Alternatively, 96 divided by4=24. Then 24+5=29.
Hmm.
Hmm, not helpful.
Option 2: Combine 30 and 96 first.
30+96=126. Remaining numbers:126,26,5.
Then combine 126 and 26:
126+26=152, 26-126=-100, 126*26=3276, etc.
Then with 5.
Hmm.
Alternatively, 96-30=66. Remaining numbers:66,26,5.
Combine 66 and 26:
66+26=92, 26-66=-40, 66*26=1716, etc.
Then with 5.
Hmm.
Alternatively, 66 divided by 26≈2.538. Not helpful.
Hmm.
Option3: Combine 30 and 5 first.
30+5=35. Remaining numbers:35,26,96.
Combine 35 and 26:
35+26=61, 26-35=-7, 35*26=910, etc.
Then with 96.
Hmm.
Alternatively, 30-5=25. Remaining numbers:25,26,96.
Combine 25 and26:
25+26=51, 26-25=1, etc.
Then with 96.
Hmm.
Option4: Combine 26 and 96 first.
26+96=122. Remaining numbers:122,30,5.
Combine 122 and30:
122+30=152, 30-122=-92, etc.
Hmm.
Alternatively, 96-26=70. Remaining numbers:70,30,5.
Combine 70 and30:
70+30=100, 30-70=-40, etc.
Hmm.
Option5: Combine 26 and5 first.
26+5=31. Remaining numbers:31,30,96.
Combine 31 and30:
31+30=61, 30-31=-1, etc.
Hmm.
Alternatively, 26-5=21. Remaining numbers:21,30,96.
Combine 21 and30:
21+30=51, 30-21=9, etc.
Hmm.
Option6: Combine 96 and5 first.
96+5=101. Remaining numbers:101,30,26.
Combine 101 and30:
101+30=131, etc.
Hmm.
Alternatively, 96-5=91. Remaining numbers:91,30,26.
Combine 91 and30:
91+30=121, etc.
Hmm.
Hmm, none of these seem to get me to 19. Maybe I need to try three-way combinations.
Alternatively, perhaps (96 - (30 * (26 -5))) but that's too big.
Wait, let me try (26 - (96 / (30 -5))) =26 - (96/25)=26-3.84=22.16.
Hmm.
Wait, maybe ( (30 -5) * (26 - something) ) divided by something.
Hmm.
Alternatively, ( (96 / (30 - (26 -5))) ) -5. Let's see, 26-5=21, 30-21=9. 96/9≈10.666. 10.666-5≈5.666. Not helpful.
Hmm.
Wait, maybe ( (26 -5) * (something) ) divided by something.
26-5=21. 21* something.
Hmm.
Alternatively, ( (30 - (26 -5)) * (96 / something) )
30-21=9. 9*(96/x)=19 → x= (96*9)/19 ≈46. Not helpful.
Hmm.
Wait, maybe ( (96 - (30 *5)) divided by (26 - something) ).
30*5=150. 96-150= -54.
Hmm.
Hmm, I'm really stuck. Maybe I need to think of a different approach. Let me try to see if there's a way to get 19 by using division.
Wait, 19 is a prime number. So maybe it's the result of a subtraction or addition.
Wait, 26 - (something)=19 → something is 7. How to get 7 from 30,96,5.
30-23=7. 23 from 96 and5? 96-73=23. But how to get 73 from 5?
Hmm.
Alternatively, 5*(something)=19 + something.
Hmm.
Wait, maybe ( (96 / (something)) ) - (something else) =19.
Let me think of 96 divided by something gives me a number that when subtracted by another number gives 19.
Suppose 96 divided by x minus y =19.
Possible x and y from the remaining numbers.
Let me try x=5. Then 96/5=19.2. 19.2 - y=19 → y=0.2. Not possible.
x=26: 96/26≈3.69. 3.69 - y=19 → y negative.
x=30: 96/30=3.2 → 3.2 - y=19 → y negative.
Hmm.
Alternatively, maybe (something divided by something else) minus another number.
Hmm.
Wait, maybe ( (30 *5) - 96 ) divided by 26.
30*5=150. 150-96=54. 54/26≈2.07. Not helpful.
Hmm.
Alternatively, ( (26 *5) - 96 ) divided by 30.
26*5=130. 130-96=34. 34/30≈1.13.
Hmm.
Hmm.
Wait, maybe ( (96 - (30 +26)) divided by5 ).
96-56=40. 40/5=8.
Hmm.
Hmm.
Wait, maybe ( (26 -5) * (something) ) divided by something.
26-5=21. 21* something.
Hmm.
Alternatively, ( (30 -5) * (something) ) divided by something.
30-5=25. 25* something.
Hmm.
Hmm.
Wait, maybe ( (96 divided by (something)) minus (something else) ) equals 19.
Let me try 96 divided by (something) is 20, then minus 1.
96 divided by 4.8=20. But how to get 4.8 from 30,26,5.
Hmm.
Alternatively, 96 divided by (something) is 24, then minus 5.
24-5=19. So 96 divided by 4=24.
Ah! Wait a minute!
If I can get 4 from the other numbers.
The numbers are 30,26,5.
30-26=4.
So, 96 divided by (30-26) is 24.
Then subtract 5: 24-5=19.
Yes! That works.
So the formula would be (96/(30-26)) -5 =24-5=19.
Wait, let me check the numbers used:
30 and 26 are used in the denominator (30-26), then 96 is divided by that, and then subtract 5.
So all numbers are used exactly once: 30,26,96,5.
Yes! That works.
So the formula is (96/(30-26)) -5 =19.
So the answer is { "formula": "96/(30-26) -5" } or with parentheses for clarity: (96/(30-26)) -5.
Alternatively, written as (96 ÷ (30 − 26)) − 5 = 19.
Yes, that's correct.
I think that's the solution.
{
"formula": "(96/(30-26)) -5"
}
| 9,915 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 30, 26, 96, 5,
target: 19
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 19',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
= (96*9)/19 ≈46. Not helpful.
Hmm.
Wait, maybe (26 - (96 / (30 -5))) =26 - (96/25)=26-3.84=22.16.
Hmm.
Hmm, I'm really stuck here. Maybe I need to try a different approach. Let me see if there's a way to combine three numbers first.
Let me try 96, 26, and 5.
96 - (26 +5)=65. Then 65 -30=35. Not helpful.
Alternatively, 26*5=130. 130-96=34. 34-30=4.
Hmm.
Alternatively, 96 divided by (26 -5)=96/21≈4.57. Not helpful.
Hmm.
Wait, maybe (30 - (96 / (26 -5))) =30 - (96/21)=30-4.57≈25.43.
Hmm.
Alternatively, (5*(something)) minus (something else). Let's see, 5*(something)=19 + something.
Wait, 5*4=20. 20-1=19. To get 4 from 30 and 26: 30-26=4. Then the remaining number is 96. So 5*(30-26) - (96 / something). But I can't use 96 again. Wait, but the numbers are 30,26,5,96. So if I use 30 and 26 for the 4, then 5*4=20. Then I have 96 left. To get 19, I need 20 minus 1, but where does the 1 come from? The remaining number is 96. So maybe 96 divided by something? But I can't use another number.
Hmm.
Wait, maybe (96 - (30 * (something))) divided by something. Let's see, 30*3=90. 96-90=6. 6 divided by (26-5)=6/21≈0.285. Not helpful.
Hmm.
Wait, maybe (26 - (5 + (96 /30))) =26 - (5 +3.2)=26-8.2=17.8.
Hmm.
Hmm, maybe I need to use division in a different way. Let me think of fractions again.
Wait, 96 divided by 5 is 19.2. If I can subtract 0.2, but that's not possible. Alternatively, maybe (96 divided by 5) minus (something).
Wait, 96/5 is 19.2. Subtract 0.2, but how?
Alternatively, (96 divided by 5) minus (something). Let's see, 19.2 - (something)=19. So that something is 0.2. But how to get 0.2 from 30 and 26?
Hmm.
Alternatively, (96 divided by (something)) minus (something else).
Wait, 96 divided by (something) to get 20, then subtract 1.
Wait, 96 divided by 4.8=20. But how to get 4.8 from 30,26,5.
Hmm.
Alternatively, maybe (30 - (26 -5)) =30-21=9. Then 96 divided by 9 is 10.666.
Hmm.
Hmm, I'm really stuck. Maybe I need to try all possible permutations.
Let me list all possible operations step by step.
The numbers are 30,26,96,5.
Possible operations:
First, pick two numbers to combine. Let's try all possible pairs.
Option 1: Combine 30 and 26 first.
Possible operations:
30+26=56. Then remaining numbers:56,96,5.
Then combine 56 and 96:
56+96=152, 96-56=40, 56*96=5376, 56/96≈0.583, 96/56≈1.714.
Then with the remaining 5.
For example, 40-5=35. Not helpful.
Alternatively, 56+96=152. Then 152-5=147.
Hmm.
Alternatively, 30-26=4. Remaining numbers:4,96,5.
Then combine 4 and 96:
4+96=100, 96-4=92, 4*96=384, 96/4=24, 4/96≈0.041.
Then with 5.
For example, 24+5=29. Not helpful.
Or 92-5=87.
Hmm.
Alternatively, 4*5=20. Then 20 and 96. 20+96=116, 96-20=76, etc.
Hmm.
Alternatively, 96 divided by4=24. Then 24+5=29.
Hmm.
Hmm, not helpful.
Option 2: Combine 30 and 96 first.
30+96=126. Remaining numbers:126,26,5.
Then combine 126 and 26:
126+26=152, 26-126=-100, 126*26=3276, etc.
Then with 5.
Hmm.
Alternatively, 96-30=66. Remaining numbers:66,26,5.
Combine 66 and 26:
66+26=92, 26-66=-40, 66*26=1716, etc.
Then with 5.
Hmm.
Alternatively, 66 divided by 26≈2.538. Not helpful.
Hmm.
Option3: Combine 30 and 5 first.
30+5=35. Remaining numbers:35,26,96.
Combine 35 and 26:
35+26=61, 26-35=-7, 35*26=910, etc.
Then with 96.
Hmm.
Alternatively, 30-5=25. Remaining numbers:25,26,96.
Combine 25 and26:
25+26=51, 26-25=1, etc.
Then with 96.
Hmm.
Option4: Combine 26 and 96 first.
26+96=122. Remaining numbers:122,30,5.
Combine 122 and30:
122+30=152, 30-122=-92, etc.
Hmm.
Alternatively, 96-26=70. Remaining numbers:70,30,5.
Combine 70 and30:
70+30=100, 30-70=-40, etc.
Hmm.
Option5: Combine 26 and5 first.
26+5=31. Remaining numbers:31,30,96.
Combine 31 and30:
31+30=61, 30-31=-1, etc.
Hmm.
Alternatively, 26-5=21. Remaining numbers:21,30,96.
Combine 21 and30:
21+30=51, 30-21=9, etc.
Hmm.
Option6: Combine 96 and5 first.
96+5=101. Remaining numbers:101,30,26.
Combine 101 and30:
101+30=131, etc.
Hmm.
Alternatively, 96-5=91. Remaining numbers:91,30,26.
Combine 91 and30:
91+30=121, etc.
Hmm.
Hmm, none of these seem to get me to 19. Maybe I need to try three-way combinations.
Alternatively, perhaps (96 - (30 * (26 -5))) but that's too big.
Wait, let me try (26 - (96 / (30 -5))) =26 - (96/25)=26-3.84=22.16.
Hmm.
Wait, maybe ( (30 -5) * (26 - something) ) divided by something.
Hmm.
Alternatively, ( (96 / (30 - (26 -5))) ) -5. Let's see, 26-5=21, 30-21=9. 96/9≈10.666. 10.666-5≈5.666. Not helpful.
Hmm.
Wait, maybe ( (26 -5) * (something) ) divided by something.
26-5=21. 21* something.
Hmm.
Alternatively, ( (30 - (26 -5)) * (96 / something) )
30-21=9. 9*(96/x)=19 → x= (96*9)/19 ≈46. Not helpful.
Hmm.
Wait, maybe ( (96 - (30 *5)) divided by (26 - something) ).
30*5=150. 96-150= -54.
Hmm.
Hmm, I'm really stuck. Maybe I need to think of a different approach. Let me try to see if there's a way to get 19 by using division.
Wait, 19 is a prime number. So maybe it's the result of a subtraction or addition.
Wait, 26 - (something)=19 → something is 7. How to get 7 from 30,96,5.
30-23=7. 23 from 96 and5? 96-73=23. But how to get 73 from 5?
Hmm.
Alternatively, 5*(something)=19 + something.
Hmm.
Wait, maybe ( (96 / (something)) ) - (something else) =19.
Let me think of 96 divided by something gives me a number that when subtracted by another number gives 19.
Suppose 96 divided by x minus y =19.
Possible x and y from the remaining numbers.
Let me try x=5. Then 96/5=19.2. 19.2 - y=19 → y=0.2. Not possible.
x=26: 96/26≈3.69. 3.69 - y=19 → y negative.
x=30: 96/30=3.2 → 3.2 - y=19 → y negative.
Hmm.
Alternatively, maybe (something divided by something else) minus another number.
Hmm.
Wait, maybe ( (30 *5) - 96 ) divided by 26.
30*5=150. 150-96=54. 54/26≈2.07. Not helpful.
Hmm.
Alternatively, ( (26 *5) - 96 ) divided by 30.
26*5=130. 130-96=34. 34/30≈1.13.
Hmm.
Hmm.
Wait, maybe ( (96 - (30 +26)) divided by5 ).
96-56=40. 40/5=8.
Hmm.
Hmm.
Wait, maybe ( (26 -5) * (something) ) divided by something.
26-5=21. 21* something.
Hmm.
Alternatively, ( (30 -5) * (something) ) divided by something.
30-5=25. 25* something.
Hmm.
Hmm.
Wait, maybe ( (96 divided by (something)) minus (something else) ) equals 19.
Let me try 96 divided by (something) is 20, then minus 1.
96 divided by 4.8=20. But how to get 4.8 from 30,26,5.
Hmm.
Alternatively, 96 divided by (something) is 24, then minus 5.
24-5=19. So 96 divided by 4=24.
Ah! Wait a minute!
If I can get 4 from the other numbers.
The numbers are 30,26,5.
30-26=4.
So, 96 divided by (30-26) is 24.
Then subtract 5: 24-5=19.
Yes! That works.
So the formula would be (96/(30-26)) -5 =24-5=19.
Wait, let me check the numbers used:
30 and 26 are used in the denominator (30-26), then 96 is divided by that, and then subtract 5.
So all numbers are used exactly once: 30,26,96,5.
Yes! That works.
So the formula is (96/(30-26)) -5 =19.
So the answer is { "formula": "96/(30-26) -5" } or with parentheses for clarity: (96/(30-26)) -5.
Alternatively, written as (96 ÷ (30 − 26)) − 5 = 19.
Yes, that's correct.
I think that's the solution.
{
"formula": "(96/(30-26)) -5"
}<|im_end|>
|
[
31,
60,
32,
46
] | 43 |
1787
|
{
"formula": '46 - (31 - (60 - 32))'
}
| 2,185 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 31, 60, 32, 46,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '46 - (31 - (60 - 32))'
}<|im_end|>
|
[
56,
62,
72,
80
] | 92 |
1794
|
{
"formula": '80 + (72 / (62 - 56))'
}
| 2,019 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 56, 62, 72, 80,
target: 92
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 92',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '80 + (72 / (62 - 56))'
}<|im_end|>
|
[
82,
80,
98,
56
] | 40 |
1814
|
{
"formula": '(98 - 82) + (80 - 56)'
}
| 1,109 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 82, 80, 98, 56,
target: 40
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 40',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(98 - 82) + (80 - 56)'
}<|im_end|>
|
[
97,
17,
24,
43
] | 13 |
1832
|
{
"formula": '97 - (17 + 24 + 43) = 13'
}
| 616 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 97, 17, 24, 43,
target: 13
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 13',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '97 - (17 + 24 + 43) = 13'
}<|im_end|>
|
[
96,
38,
14,
9
] | 36 |
1776
|
{
"formula": "(96 / (38 - 14)) * 9"
}
| 949 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 96, 38, 14, 9,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(96 / (38 - 14)) * 9"
}<|im_end|>
|
[
19,
53,
78,
86
] | 42 |
1827
|
{
"formula": '86 - (78 - (53 - 19))'
}
| 799 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 19, 53, 78, 86,
target: 42
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 42',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '86 - (78 - (53 - 19))'
}<|im_end|>
|
[
2,
61,
29,
56
] | 40 |
1833
|
{
"formula": "56 - ((61 - 29) / 2)"
}
| 916 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 61, 29, 56,
target: 40
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 40',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "56 - ((61 - 29) / 2)"
}<|im_end|>
|
[
51,
58,
46,
34
] | 19 |
1828
|
{
"formula": '(58 - 51) + (46 - 34)'
}
| 789 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 51, 58, 46, 34,
target: 19
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 19',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(58 - 51) + (46 - 34)'
}<|im_end|>
|
[
35,
17,
54,
68
] | 38 |
1825
|
{
"formula": '54 - (68 - (35 + 17))'
}
| 1,358 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 35, 17, 54, 68,
target: 38
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 38',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '54 - (68 - (35 + 17))'
}<|im_end|>
|
[
1,
33,
91,
60
] | 22 |
1735
|
{
"formula": '33 * (60 / (91 - 1))'
}
| 5,773 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 33, 91, 60,
target: 22
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 22',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '33 * (60 / (91 - 1))'
}<|im_end|>
|
[
6,
65,
16,
2
] | 73 |
1805
|
{
"formula": '65 + 16 - (6 + 2)'
}
| 2,406 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 65, 16, 2,
target: 73
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 73',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '65 + 16 - (6 + 2)'
}<|im_end|>
|
[
63,
20,
49,
25
] | 31 |
1807
|
{
"formula": "25 + 20 + 49 - 63"
}
| 3,314 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 63, 20, 49, 25,
target: 31
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 31',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "25 + 20 + 49 - 63"
}<|im_end|>
|
[
83,
2,
5,
46
] | 69 |
1842
|
{
"formula": '(83 - 46) * 2 - 5'
}
| 1,635 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 83, 2, 5, 46,
target: 69
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 69',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(83 - 46) * 2 - 5'
}<|im_end|>
|
[
26,
10,
96,
58
] | 65 |
1759
|
{
"formula": '58 + ((96 - 26) / 10)'
}
| 4,432 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 26, 10, 96, 58,
target: 65
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 65',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '58 + ((96 - 26) / 10)'
}<|im_end|>
|
[
25,
24,
27,
96
] | 24 |
1831
|
{
"formula": '(96/(27-25)) -24'
}
| 1,223 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 25, 24, 27, 96,
target: 24
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 24',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(96/(27-25)) -24'
}<|im_end|>
|
[
4,
35,
25,
88
] | 82 |
1783
|
{
"formula": "88 / 4 + 35 + 25"
}
| 3,545 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 35, 25, 88,
target: 82
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 82',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "88 / 4 + 35 + 25"
}<|im_end|>
|
[
73,
29,
34,
47
] | 89 |
1829
|
{
"formula": '73 + (34 - (47 - 29))'
}
| 1,476 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 73, 29, 34, 47,
target: 89
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 89',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '73 + (34 - (47 - 29))'
}<|im_end|>
|
[
47,
62,
59,
81
] | 74 |
1830
|
{
"formula": '(81 / (62 - 59)) + 47'
}
| 1,134 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 47, 62, 59, 81,
target: 74
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 74',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(81 / (62 - 59)) + 47'
}<|im_end|>
|
[
7,
18,
22,
96
] | 85 |
1813
|
{
"formula": '96 - 22 + 18 - 7'
}
| 2,091 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 7, 18, 22, 96,
target: 85
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 85',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '96 - 22 + 18 - 7'
}<|im_end|>
|
[
27,
90,
33,
61
] | 35 |
1847
|
{
"formula": '(90 - 61) + (33 - 27)'
}
| 2,620 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 27, 90, 33, 61,
target: 35
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 35',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(90 - 61) + (33 - 27)'
}<|im_end|>
|
[
36,
5,
17,
27
] | 82 |
1650
|
{
"formula": '5 * 27 - (36 + 17) = 82'
}
| 10,714 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 36, 5, 17, 27,
target: 82
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 82',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '5 * 27 - (36 + 17) = 82'
}<|im_end|>
|
[
79,
7,
17,
21
] | 61 |
1603
|
{
"formula": "7*17 +21 -79 =61",
}
| 10,528 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 79, 7, 17, 21,
target: 61
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 61',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "7*17 +21 -79 =61",
}<|im_end|>
|
[
16,
55,
13,
60
] | 75 |
1780
|
{
"formula": '(60 / (16 - 13)) + 55'
}
| 4,134 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 16, 55, 13, 60,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(60 / (16 - 13)) + 55'
}<|im_end|>
|
[
55,
57,
19,
62
] | 10 |
1706
|
{
"formula": '(57 / 19) + (62 - 55)'
}
| 8,328 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 55, 57, 19, 62,
target: 10
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 10',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(57 / 19) + (62 - 55)'
}<|im_end|>
|
[
9,
20,
28,
1
] | 71 |
1823
|
{
"formula": '(28 - 20) * 9 - 1'
}
| 2,759 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 20, 28, 1,
target: 71
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 71',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(28 - 20) * 9 - 1'
}<|im_end|>
|
[
90,
34,
5,
96
] | 34 |
1811
|
{
"formula": '34*(96 - (90 + 5))'
}
| 2,654 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 90, 34, 5, 96,
target: 34
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 34',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '34*(96 - (90 + 5))'
}<|im_end|>
|
[
59,
26,
46,
27
] | 52 |
1846
|
{
"formula": "(59 - 26) + (46 - 27)"
}
| 1,550 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 59, 26, 46, 27,
target: 52
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 52',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(59 - 26) + (46 - 27)"
}<|im_end|>
|
[
70,
36,
2,
56
] | 55 |
1848
|
{
"formula": "(70 / 2) + (56 - 36)"
}
| 879 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 70, 36, 2, 56,
target: 55
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 55',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(70 / 2) + (56 - 36)"
}<|im_end|>
|
[
47,
66,
52,
100
] | 65 |
1858
|
{
"formula": '(66 + 52) - (100 - 47)',
}
| 863 | 2,229 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 47, 66, 52, 100,
target: 65
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 65',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(66 + 52) - (100 - 47)',
}<|im_end|>
|
[
47,
3,
41,
74
] | 56 |
1838
|
{
"formula": '74 - 3*(47 - 41)'
}
| 1,341 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 47, 3, 41, 74,
target: 56
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 56',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '74 - 3*(47 - 41)'
}<|im_end|>
|
[
1,
80,
58,
54
] | 76 |
1839
|
{
"formula": '(54 * 1) + (80 - 58)'
}
| 1,368 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 80, 58, 54,
target: 76
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 76',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(54 * 1) + (80 - 58)'
}<|im_end|>
|
[
30,
71,
3,
15
] | 76 |
1850
|
{
"formula": '71 + (15 - (30 / 3))'
}
| 1,014 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 30, 71, 3, 15,
target: 76
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 76',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '71 + (15 - (30 / 3))'
}<|im_end|>
|
[
99,
51,
48,
17
] | 83 |
1756
|
{
"formula": '99 - (48 / (51 / 17))'
}
| 5,980 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 99, 51, 48, 17,
target: 83
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 83',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '99 - (48 / (51 / 17))'
}<|im_end|>
|
[
57,
6,
71,
63
] | 70 |
1868
|
{
"formula": '71 - ((63 - 57) / 6)',
}
| 1,116 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 57, 6, 71, 63,
target: 70
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 70',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '71 - ((63 - 57) / 6)',
}<|im_end|>
|
[
65,
16,
4,
20
] | 33 |
1861
|
{
"formula": '65 - (20 + (16 - 4))'
}
| 1,029 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 65, 16, 4, 20,
target: 33
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 33',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '65 - (20 + (16 - 4))'
}<|im_end|>
|
[
19,
20,
5,
51
] | 17 |
1804
|
{
"formula": "(51 + 5) - (19 + 20)"
}
| 3,669 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 19, 20, 5, 51,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(51 + 5) - (19 + 20)"
}<|im_end|>
|
[
42,
18,
49,
45
] | 55 |
1854
|
{
"formula": '49 + (18 / (45 - 42))',
}
| 998 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 42, 18, 49, 45,
target: 55
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 55',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '49 + (18 / (45 - 42))',
}<|im_end|>
|
[
69,
71,
6,
73
] | 61 |
1857
|
{
"formula": '69 - (73 - 71 + 6) = 61'
}
| 799 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 69, 71, 6, 73,
target: 61
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 61',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '69 - (73 - 71 + 6) = 61'
}<|im_end|>
|
[
32,
2,
10,
42
] | 53 |
1859
|
{
"formula": "(32 - 10) / 2 + 42"
}
| 894 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 32, 2, 10, 42,
target: 53
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 53',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(32 - 10) / 2 + 42"
}<|im_end|>
|
[
28,
56,
7,
92
] | 72 |
1821
|
{
"formula": '92 - 28 + 56 / 7',
}
| 2,841 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 28, 56, 7, 92,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '92 - 28 + 56 / 7',
}<|im_end|>
|
[
7,
20,
61,
50
] | 38 |
1879
|
{
"formula": '(61 - 50) + 20 + 7'
}
| 1,191 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 7, 20, 61, 50,
target: 38
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 38',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(61 - 50) + 20 + 7'
}<|im_end|>
|
[
22,
9,
15,
21
] | 57 |
1824
|
{
"formula": '21/(9/15)+22'
}
| 3,172 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 22, 9, 15, 21,
target: 57
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 57',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '21/(9/15)+22'
}<|im_end|>
|
[
80,
14,
22,
84
] | 52 |
1871
|
{
"formula": '(80 - 22) - (84 / 14)'
}
| 984 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 80, 14, 22, 84,
target: 52
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 52',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(80 - 22) - (84 / 14)'
}<|im_end|>
|
[
43,
12,
71,
63
] | 53 |
1860
|
{
"formula": '(12 * (71 - 63)) - 43'
}
| 1,112 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 43, 12, 71, 63,
target: 53
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 53',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(12 * (71 - 63)) - 43'
}<|im_end|>
|
[
94,
63,
9,
28
] | 98 |
1863
|
{
"formula": '94 + (28 / (63 / 9))',
}
| 943 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 94, 63, 9, 28,
target: 98
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 98',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '94 + (28 / (63 / 9))',
}<|im_end|>
|
[
57,
4,
52,
93
] | 92 |
1884
|
{
"formula": '93 - (57 - (52 + 4))',
}
| 876 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 57, 4, 52, 93,
target: 92
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 92',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '93 - (57 - (52 + 4))',
}<|im_end|>
|
[
5,
62,
33,
47
] | 36 |
1822
|
{
"formula": '33 + ((62 - 47) / 5)'
}
| 1,025 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 5, 62, 33, 47,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '33 + ((62 - 47) / 5)'
}<|im_end|>
|
[
49,
19,
7,
31
] | 84 |
1845
|
{
"formula": '(49 / 7) * (31 - 19)'
}
| 2,088 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 49, 19, 7, 31,
target: 84
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 84',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(49 / 7) * (31 - 19)'
}<|im_end|>
|
[
71,
58,
50,
83
] | 20 |
1888
|
{
"formula": '(83 - 71) + (58 - 50)'
}
| 659 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 71, 58, 50, 83,
target: 20
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 20',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(83 - 71) + (58 - 50)'
}<|im_end|>
|
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