numbers
listlengths 4
4
| target
int64 10
100
| id
stringlengths 1
4
| response
stringlengths 29
17.1k
| completion_token
int64 27
27.4k
| prompt_token
int64 120
8.17k
| text
stringlengths 660
17.7k
|
|---|---|---|---|---|---|---|
[
47,
3,
58,
75
] | 10 |
3865
|
{
"formula": '(58 + 47 - 75) / 3'
}
| 1,560 | 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, 58, 75,
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": '(58 + 47 - 75) / 3'
}<|im_end|>
|
[
76,
92,
19,
25
] | 63 |
3844
|
{
"formula": '92 - (25 + (76 / 19))'
}
| 2,459 | 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: 76, 92, 19, 25,
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": '92 - (25 + (76 / 19))'
}<|im_end|>
|
[
24,
49,
24,
28
] | 69 |
3888
|
{
"formula": '24 + 24 + 49 - 28',
}
| 2,104 | 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: 24, 49, 24, 28,
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": '24 + 24 + 49 - 28',
}<|im_end|>
|
[
79,
12,
66,
76
] | 75 |
3869
|
{
"formula": '76 - (79 - (66 + 12))',
}
| 1,249 | 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, 12, 66, 76,
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": '76 - (79 - (66 + 12))',
}<|im_end|>
|
[
99,
35,
87,
6
] | 29 |
3859
|
{
"formula": "87 / ((99 + 6) / 35)"
}
| 1,611 | 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: 99, 35, 87, 6,
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": "87 / ((99 + 6) / 35)"
}<|im_end|>
|
[
10,
15,
75,
79
] | 82 |
3636
|
{
"formula": '79 + (75 / (10 + 15))'
}
| 12,523 | 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: 10, 15, 75, 79,
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": '79 + (75 / (10 + 15))'
}<|im_end|>
|
[
54,
13,
71,
33
] | 63 |
3839
|
{
"formula": '71 - (54 - (33 + 13))'
}
| 2,935 | 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, 13, 71, 33,
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 - (54 - (33 + 13))'
}<|im_end|>
|
[
4,
5,
65,
37
] | 37 |
3820
|
{
"formula": "65 - 37 + 4 + 5"
}
| 4,088 | 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, 5, 65, 37,
target: 37
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 37',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "65 - 37 + 4 + 5"
}<|im_end|>
|
[
3,
48,
3,
41
] | 30 |
3887
|
{
"formula": "(48 - (41 - 3)) * 3"
}
| 1,652 | 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: 3, 48, 3, 41,
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": "(48 - (41 - 3)) * 3"
}<|im_end|>
|
[
17,
87,
50,
10
] | 12 |
3821
|
{
"formula": '((87 - 17) + 50) / 10'
}
| 4,388 | 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: 17, 87, 50, 10,
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": '((87 - 17) + 50) / 10'
}<|im_end|>
|
[
33,
89,
91,
32
] | 98 |
3901
|
{
"formula": '33*(91-89)+32'
}
| 1,806 | 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: 33, 89, 91, 32,
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": '33*(91-89)+32'
}<|im_end|>
|
[
81,
38,
89,
40
] | 86 |
3848
|
{
"formula": '(89 + 38) - (81 - 40)'
}
| 2,905 | 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: 81, 38, 89, 40,
target: 86
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 86',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(89 + 38) - (81 - 40)'
}<|im_end|>
|
[
76,
3,
77,
82
] | 68 |
3902
|
{
"formula": "(76 + 77) - (82 + 3)"
}
| 3,546 | 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: 76, 3, 77, 82,
target: 68
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 68',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(76 + 77) - (82 + 3)"
}<|im_end|>
|
[
74,
70,
39,
76
] | 41 |
3908
|
{
"formula": '(76 - 39) + (74 - 70)'
}
| 646 | 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: 74, 70, 39, 76,
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": '(76 - 39) + (74 - 70)'
}<|im_end|>
|
[
54,
65,
52,
35
] | 76 |
3879
|
{
"formula": "(52 + 35) - (65 - 54)"
}
| 1,401 | 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, 65, 52, 35,
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": "(52 + 35) - (65 - 54)"
}<|im_end|>
|
[
55,
27,
2,
13
] | 22 |
3891
|
{
"formula": '27 - (55 / (13 - 2))',
}
| 1,051 | 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: 55, 27, 2, 13,
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": '27 - (55 / (13 - 2))',
}<|im_end|>
|
[
26,
3,
16,
26
] | 51 |
3851
|
{
"formula": '3*(16 + (26/26))'
}
| 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: 26, 3, 16, 26,
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": '3*(16 + (26/26))'
}<|im_end|>
|
[
5,
24,
92,
46
] | 53 |
3883
|
{
"formula": '(24 * (92 / 46)) + 5'
}
| 1,446 | 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, 24, 92, 46,
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": '(24 * (92 / 46)) + 5'
}<|im_end|>
|
[
21,
8,
52,
8
] | 32 |
3914
|
{
"formula": "(52 / (21 - 8)) * 8"
}
| 862 | 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: 21, 8, 52, 8,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(52 / (21 - 8)) * 8"
}<|im_end|>
|
[
17,
21,
17,
3
] | 39 |
3846
|
{
"formula": "((17 - (21 - 17)) * 3)"
}
| 3,608 | 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, 21, 17, 3,
target: 39
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 39',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "((17 - (21 - 17)) * 3)"
}<|im_end|>
|
[
3,
90,
85,
18
] | 37 |
3880
|
{
"formula": '85 - (90 / 3 + 18) = 37'
}
| 1,637 | 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: 3, 90, 85, 18,
target: 37
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 37',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '85 - (90 / 3 + 18) = 37'
}<|im_end|>
|
[
55,
41,
35,
40
] | 21 |
3881
|
{
"formula": '(55 - 40) + (41 - 35)'
}
| 1,760 | 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, 41, 35, 40,
target: 21
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 21',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(55 - 40) + (41 - 35)'
}<|im_end|>
|
[
3,
13,
89,
11
] | 51 |
3805
|
{
"formula": '(13 * 11) - 3 - 89'
}
| 5,794 | 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: 3, 13, 89, 11,
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": '(13 * 11) - 3 - 89'
}<|im_end|>
|
[
83,
23,
80,
4
] | 81 |
3896
|
{
"formula": '(23 + 4) * (83 - 80)'
}
| 1,421 | 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: 83, 23, 80, 4,
target: 81
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 81',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(23 + 4) * (83 - 80)'
}<|im_end|>
|
[
19,
72,
49,
86
] | 54 |
3889
|
{
"formula": '72 - (86 - (49 + 19))'
}
| 1,405 | 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, 72, 49, 86,
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": '72 - (86 - (49 + 19))'
}<|im_end|>
|
[
9,
39,
9,
85
] | 35 |
3890
|
{
"formula": '39 - (85 - (9 * 9))'
}
| 1,412 | 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, 39, 9, 85,
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": '39 - (85 - (9 * 9))'
}<|im_end|>
|
[
6,
1,
57,
84
] | 32 |
3884
|
{
"formula": '(84 - 57) + 6 - 1'
}
| 1,771 | 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, 1, 57, 84,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(84 - 57) + 6 - 1'
}<|im_end|>
|
[
1,
50,
88,
5
] | 33 |
3852
|
{
"formula": '(88 - 50 - 5) * 1'
}
| 3,775 | 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: 1, 50, 88, 5,
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": '(88 - 50 - 5) * 1'
}<|im_end|>
|
[
40,
79,
20,
83
] | 81 |
3704
|
{
"formula": '(83 + 79) / (40 / 20)',
}
| 11,209 | 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: 40, 79, 20, 83,
target: 81
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 81',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(83 + 79) / (40 / 20)',
}<|im_end|>
|
[
38,
29,
71,
96
] | 92 |
3909
|
{
"formula": '96 - (71 - (38 + 29))'
}
| 1,054 | 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: 38, 29, 71, 96,
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": '96 - (71 - (38 + 29))'
}<|im_end|>
|
[
1,
15,
17,
34
] | 12 |
3913
|
{
"formula": '15 - (34 / 17 + 1) = 12'
}
| 1,051 | 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, 15, 17, 34,
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": '15 - (34 / 17 + 1) = 12'
}<|im_end|>
|
[
66,
89,
39,
63
] | 44 |
3874
|
{
"formula": '(89 - 63) * (66 / 39)'
}
| 2,872 | 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: 66, 89, 39, 63,
target: 44
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 44',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(89 - 63) * (66 / 39)'
}<|im_end|>
|
[
10,
10,
6,
7
] | 13 |
3910
|
{
"formula": "(10 - 10) + 6 + 7"
}
| 1,135 | 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: 10, 10, 6, 7,
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": "(10 - 10) + 6 + 7"
}<|im_end|>
|
[
59,
78,
72,
75
] | 10 |
3918
|
{
"formula": '(75 - 59) - (78 - 72)'
}
| 699 | 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, 78, 72, 75,
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": '(75 - 59) - (78 - 72)'
}<|im_end|>
|
[
23,
54,
39,
62
] | 70 |
3937
|
{
"formula": '62 + 23 - (54 - 39) = 70'
}
| 876 | 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: 23, 54, 39, 62,
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": '62 + 23 - (54 - 39) = 70'
}<|im_end|>
|
[
91,
1,
15,
17
] | 89 |
3936
|
{
"formula": '91 / 1 - (17 - 15)'
}
| 1,142 | 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: 91, 1, 15, 17,
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": '91 / 1 - (17 - 15)'
}<|im_end|>
|
[
74,
10,
89,
83
] | 58 |
3922
|
{
"formula": '(74 - 10) - (89 - 83)'
}
| 726 | 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: 74, 10, 89, 83,
target: 58
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 58',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(74 - 10) - (89 - 83)'
}<|im_end|>
|
[
21,
75,
82,
6
] | 18 |
3921
|
{
"formula": "(21 / (82 - 75)) * 6"
}
| 804 | 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: 21, 75, 82, 6,
target: 18
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 18',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(21 / (82 - 75)) * 6"
}<|im_end|>
|
[
30,
76,
66,
80
] | 25 |
3804
|
{
"formula": '((30 * 66) - 80) / 76'
}
| 7,127 | 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, 76, 66, 80,
target: 25
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 25',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((30 * 66) - 80) / 76'
}<|im_end|>
|
[
69,
29,
100,
36
] | 90 |
3811
|
{
"formula": '100 / ((69 - 29) / 36)'
}
| 6,683 | 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: 69, 29, 100, 36,
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": '100 / ((69 - 29) / 36)'
}<|im_end|>
|
[
68,
36,
29,
72
] | 95 |
3722
|
{
"formula": '68 + 29 - (72 / 36)'
}
| 3,261 | 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: 68, 36, 29, 72,
target: 95
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 95',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '68 + 29 - (72 / 36)'
}<|im_end|>
|
[
95,
63,
59,
43
] | 16 |
3899
|
{
"formula": '(95 + 43) - (63 + 59)'
}
| 2,375 | 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: 95, 63, 59, 43,
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": '(95 + 43) - (63 + 59)'
}<|im_end|>
|
[
80,
85,
54,
80
] | 31 |
3829
|
{
"formula": "85 - 54 + 80 - 80"
}
| 5,303 | 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, 85, 54, 80,
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": "85 - 54 + 80 - 80"
}<|im_end|>
|
[
3,
2,
91,
16
] | 23 |
3923
|
{
"formula": "((91 - 16) / 3) - 2"
}
| 977 | 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: 3, 2, 91, 16,
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": "((91 - 16) / 3) - 2"
}<|im_end|>
|
[
9,
14,
92,
56
] | 41 |
3912
|
{
"formula": '92 - 56 + 14 - 9 = 41'
}
| 1,764 | 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: 9, 14, 92, 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": '92 - 56 + 14 - 9 = 41'
}<|im_end|>
|
[
16,
51,
4,
80
] | 55 |
3916
|
{
"formula": '51 + (80 / (16 + 4))',
}
| 1,445 | 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: 16, 51, 4, 80,
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": '51 + (80 / (16 + 4))',
}<|im_end|>
|
[
1,
4,
45,
48
] | 33 |
3926
|
{
"formula": '48 - (45 / (4 - 1))',
}
| 1,019 | 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: 1, 4, 45, 48,
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": '48 - (45 / (4 - 1))',
}<|im_end|>
|
[
6,
8,
28,
81
] | 25 |
3882
|
{
"formula": '81 - 28*(8 - 6) = 25'
}
| 2,788 | 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, 8, 28, 81,
target: 25
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 25',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '81 - 28*(8 - 6) = 25'
}<|im_end|>
|
[
15,
85,
22,
71
] | 21 |
3925
|
{
"formula": '(85 - 71) + (22 - 15)'
}
| 1,070 | 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, 85, 22, 71,
target: 21
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 21',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(85 - 71) + (22 - 15)'
}<|im_end|>
|
[
68,
10,
82,
16
] | 40 |
3885
|
{
"formula": "(82 - 68) + 10 + 16"
}
| 2,813 | 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: 68, 10, 82, 16,
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": "(82 - 68) + 10 + 16"
}<|im_end|>
|
[
33,
99,
18,
45
] | 24 |
3954
|
{
"formula": '(45 - 18) - (99 / 33)',
}
| 225 | 2,274 |
<|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: 33, 99, 18, 45,
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": '(45 - 18) - (99 / 33)',
}<|im_end|>
|
[
55,
57,
7,
84
] | 89 |
3942
|
{
"formula": '84 + 55 - 57 + 7'
}
| 1,882 | 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: 55, 57, 7, 84,
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": '84 + 55 - 57 + 7'
}<|im_end|>
|
[
77,
37,
28,
87
] | 75 |
3952
|
{
"formula": '87 - (77 - 37 - 28) = 75'
}
| 1,492 | 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, 37, 28, 87,
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": '87 - (77 - 37 - 28) = 75'
}<|im_end|>
|
[
46,
1,
50,
40
] | 44 |
3945
|
{
"formula": '40 + (50 - 46) * 1'
}
| 1,453 | 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: 46, 1, 50, 40,
target: 44
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 44',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '40 + (50 - 46) * 1'
}<|im_end|>
|
[
39,
63,
19,
6
] | 49 |
3938
|
{
"formula": '(63 + 19 + 6) - 39'
}
| 1,094 | 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, 63, 19, 6,
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": '(63 + 19 + 6) - 39'
}<|im_end|>
|
[
84,
14,
1,
1
] | 68 |
3950
|
{
"formula": '84 - (14 + 1 + 1) = 68'
}
| 397 | 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: 84, 14, 1, 1,
target: 68
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 68',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '84 - (14 + 1 + 1) = 68'
}<|im_end|>
|
[
14,
74,
37,
28
] | 51 |
3905
|
{
"formula": '(74 - 37) + (28 - 14)'
}
| 2,473 | 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: 14, 74, 37, 28,
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": '(74 - 37) + (28 - 14)'
}<|im_end|>
|
[
64,
50,
90,
92
] | 16 |
3958
|
{
"formula": '(92 + 64) - 90 - 50'
}
| 1,425 | 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: 64, 50, 90, 92,
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": '(92 + 64) - 90 - 50'
}<|im_end|>
|
[
11,
19,
23,
25
] | 10 |
3934
|
{
"formula": '25 - (23 - (19 - 11))'
}
| 1,277 | 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: 11, 19, 23, 25,
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": '25 - (23 - (19 - 11))'
}<|im_end|>
|
[
5,
50,
71,
51
] | 25 |
3957
|
{
"formula": '50 + 51 - 71 - 5 = 25'
}
| 4,601 | 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, 50, 71, 51,
target: 25
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 25',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '50 + 51 - 71 - 5 = 25'
}<|im_end|>
|
[
15,
8,
82,
32
] | 70 |
3877
|
{
"formula": '(15 * 8) - (82 - 32)'
}
| 4,095 | 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: 15, 8, 82, 32,
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": '(15 * 8) - (82 - 32)'
}<|im_end|>
|
[
72,
85,
78,
57
] | 34 |
3875
|
{
"formula": '(85 + 78) - (72 + 57)'
}
| 4,325 | 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: 72, 85, 78, 57,
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": '(85 + 78) - (72 + 57)'
}<|im_end|>
|
[
7,
53,
46,
6
] | 100 |
3940
|
{
"formula": '53 + 46 + 7 - 6',
}
| 1,607 | 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: 7, 53, 46, 6,
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": '53 + 46 + 7 - 6',
}<|im_end|>
|
[
60,
46,
84,
85
] | 79 |
3948
|
{
"formula": '85 - (84 / (60 - 46))',
}
| 1,333 | 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, 46, 84, 85,
target: 79
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 79',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '85 - (84 / (60 - 46))',
}<|im_end|>
|
[
67,
7,
58,
7
] | 76 |
3966
|
{
"formula": '67 + (58 - (7 * 7))'
}
| 748 | 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: 67, 7, 58, 7,
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": '67 + (58 - (7 * 7))'
}<|im_end|>
|
[
1,
4,
59,
32
] | 30 |
3897
|
≈5.333, which isn't an integer.
Alternatively, 59 - (32 - (4*1)) → 32-4=28, 59-28=31. Close but not 30.
Hmm, so I think the first solution is the correct one. Let me just make sure there's no other way.
Another angle: 1* (something) + ... Not sure.
Wait, 32 +4 =36. 59 - 36 =23. 23 +1=24. No.
Alternatively, 59 - (32 -4) =59-28=31. Then subtract 1? 31-1=30. Wait, that's another way! Let me see:
59 - (32 -4) -1. Let's compute step by step. 32-4 is 28. 59-28 is 31. Then 31-1=30. So the formula would be 59 - (32 -4) -1. But here, the numbers used are 59, 32,4,1. Each once. The operations are subtraction and parentheses. So that's another valid formula.
Wait, that's a different approach. Let me check the order of operations. Without parentheses, it would be left to right, but with parentheses around (32-4). So the formula is 59 - (32-4) -1. Let me compute again: 32-4=28, 59-28=31, 31-1=30. Yes, that works.
So that's another possible formula. Which one is better? Both are valid. The user might accept either.
Alternatively, maybe even 59 - 32 -4 +1? Let's see: 59-32=27, 27-4=23, 23+1=24. No.
Hmm, so the two possible formulas are:
1. (59 -32) + (4-1) =30
2. 59 - (32 -4) -1 =30
Either is correct. Let me see if there's any other constraints. The problem says to use each number exactly once, which both do.
The first formula uses two subtractions and an addition, with parentheses. The second uses two subtractions and a subtraction again, with parentheses.
Either is acceptable. The user might prefer one over the other, but both are correct.
Alternatively, maybe even 32 - (59 - (4*1 + something))? Not sure.
Alternatively, 4*(something) + ... Let's see, 4*7=28, but how to get 7? 59-32=27, which is too big.
Hmm, perhaps the first formula is simpler. Let me check again.
Yes, both are correct. Let me see if there's another way.
Wait, 32 divided by (something). 32 divided by (59 - (4+1))? 4+1=5, 59-5=54. 32/54 is less than 1. Not helpful.
Alternatively, (59 +4) - (32 +1) =63 -33=30. Oh! Wait, that's another way. Let me check:
59 +4 =63, 32+1=33. 63-33=30. So the formula would be (59 +4) - (32 +1) =30.
Yes! That's another valid solution.
So that's a third way. Let me confirm:
59+4=63, 32+1=33. 63-33=30. All numbers used once. Perfect.
So that's even simpler. So the formula can be written as (59 +4) - (32 +1) =30.
That's a nice solution.
So now there are three possible formulas. The user probably wants any one of them.
Which one is the best? The third one is perhaps the most straightforward. Let me see:
(59 +4) is 63, minus (32+1)=33 gives 30.
Alternatively, the first one: (59-32)+(4-1)=27+3=30.
The third one might be better because it uses addition and subtraction in a balanced way.
So I can present either. Let me check if there are more.
Another approach: 5*6=30. To get 5 and 6. 5 could be 4+1, and 6 could be 32 - (59 - something). Not sure.
Alternatively, (59 - (32 -4)) -1 = same as the second formula.
Hmm.
Alternatively, 32 - (59 - (4* something)).
Wait, 4* something. 4* (something) to get a number that when subtracted from 59 gives something.
Alternatively, 59 - (32 - (4*1)) =59 -28=31, then minus 1? But that's the second formula.
Alternatively, 32 divided by (something).
Hmm, perhaps the third formula is the best. Let me confirm again:
(59 +4) - (32 +1) =63-33=30.
Yes, that's correct.
So I can choose between these options. The user probably wants any valid formula.
I think the third one is better because it's straightforward. Let me see if there's any other constraints.
The problem says to use each number exactly once, which all the formulas do.
So I can choose any of them. Let me pick the third one because it's a clean equation.
Alternatively, maybe the first one.
Wait, let me check if there's a way using multiplication.
Hmm, 5*6=30. To get 5 and 6.
5 could be 4+1, and 6 could be 32 - (59 - something). Not sure.
Alternatively, 32 divided by (something) to get 6? 32/ (something)=6 → something is 32/6 ≈5.333, which isn't an integer.
Alternatively, 59 divided by something? 59/ (something)=5.9, but not helpful.
Hmm, so multiplication might not be necessary here.
So the best options are the three I found.
I think I'll go with the third one: (59 +4) - (32 +1) =30.
Alternatively, the first one.
Wait, let me see if the problem requires using all four numbers. Yes, each number must be used exactly once. All the formulas do that.
So I can present any of them. Let me pick the third one because it's a simple addition and subtraction.
Alternatively, the first one.
Hmm, perhaps the user expects the first one.
Alternatively, let me see if there's another way.
Wait, 32 - (59 - (4*1 + something))? Not sure.
Alternatively, 59 - 32 =27, then 4-1=3, adding them gives 30.
Yes, that's the first formula.
Alternatively, 59 - (32 -4) -1 =30.
Hmm, all are valid.
I think I'll choose the third one because it's a straightforward combination.
So the formula is (59 +4) - (32 +1) =30.
Alternatively, maybe written as (59 +4) - 32 -1, but with parentheses for clarity.
Yes, the formula with parentheses is better.
So the final answer would be either of these.
I think I'll go with the third one.
Wait, let me check once more.
59 plus 4 is 63, minus (32 plus 1) is 33. 63-33 is 30. Correct.
Yes, that's good.
Alternatively, the first formula is also good.
Hmm, maybe the user expects the first one.
Alternatively, perhaps the second one.
Well, since all are correct, I can choose any.
I think I'll go with the third one because it uses addition and subtraction in a balanced way.
So the formula is (59 +4) - (32 +1) =30.
Alternatively, maybe the user wants the shortest formula.
Alternatively, the first one.
Hmm, I think I'll present the first one.
Wait, let me see the first one again: (59-32)+(4-1).
Yes, that's also correct.
Alternatively, the third one is better.
Hmm, I think I'll go with the third one.
Wait, let me see if there's a way using multiplication.
Wait, 5*6=30. To get 5 and 6.
5 can be 4+1, and 6 can be 32 - (59 - something).
Wait, 32 - (59 - x) =6 → 32 -59 +x =6 → x=6+59-32=33. But 33 isn't available.
Alternatively, 59 - (32 - (4+1)) =59 - (27)=32. Not 30.
Hmm, no.
Alternatively, (32 - (59 -4)) *1. Let's see: 59-4=55, 32-55= -23, times 1 is -23. No.
Hmm, so multiplication isn't helpful here.
Alright, I think I'll go with the third formula.
So the final answer is (59 +4) - (32 +1) =30.
Alternatively, the first formula.
Wait, let me check the first formula again.
(59-32) is 27, plus (4-1)=3, total 30.
Yes, that's also correct.
Hmm, perhaps the user expects the first one.
Alternatively, maybe the second one.
Well, since all are correct, I can choose any.
I think I'll go with the first one because it's the first solution I found.
Wait, but the third one is also good.
Hmm, perhaps the third one is better because it uses all numbers in pairs.
Alternatively, the user might prefer the shortest formula.
Wait, the third formula uses two additions and a subtraction.
The first uses two subtractions and an addition.
Either way, they are similar.
Hmm, I think I'll present the third one.
Wait, let me see if there's a way with division.
Hmm, 32 divided by something.
32 divided by (something) plus something else.
32/(something) = 30. Not possible.
Alternatively, 59 divided by (something) plus something.
Hmm, not helpful.
Alright, I think I'll go with the third formula.
So the formula is (59 +4) - (32 +1) =30.
Yes, that's correct.
Alternatively, maybe written as (59 +4) - 32 -1, but with parentheses for clarity.
Yes, the parentheses make it clearer.
So the final answer is that formula.
Alternatively, the first one.
Hmm, I think I'll go with the third one.
Wait, let me check once more.
59 plus 4 is 63, minus (32 plus 1) is 33. 63-33 is 30.
Yes, that's correct.
So I'll present that as the formula.
Alternatively, the first one.
Hmm, I think I'll choose the third one.
Okay, I think that's the best approach.
**Final Answer**
{
"formula": '(59 + 4) - (32 + 1)'
}
To reach the target number 30 using the numbers 1, 4, 59, and 32, we can use the following approach:
1. **Identify possible combinations**: We need to use each number exactly once with the allowed operations.
2. **Test different operations**: Trying different combinations of addition and subtraction, we find that:
- Adding 59 and 4 gives 63.
- Adding 32 and 1 gives 33.
- Subtracting 33 from 63 results in 30.
Thus, the formula is:
\[
(59 + 4) - (32 + 1) = 30
\]
This uses all the numbers exactly once and achieves the target number through valid operations.
{
"formula": '(59 + 4) - (32 + 1)'
}
| 4,338 | 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, 4, 59, 32,
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
≈5.333, which isn't an integer.
Alternatively, 59 - (32 - (4*1)) → 32-4=28, 59-28=31. Close but not 30.
Hmm, so I think the first solution is the correct one. Let me just make sure there's no other way.
Another angle: 1* (something) + ... Not sure.
Wait, 32 +4 =36. 59 - 36 =23. 23 +1=24. No.
Alternatively, 59 - (32 -4) =59-28=31. Then subtract 1? 31-1=30. Wait, that's another way! Let me see:
59 - (32 -4) -1. Let's compute step by step. 32-4 is 28. 59-28 is 31. Then 31-1=30. So the formula would be 59 - (32 -4) -1. But here, the numbers used are 59, 32,4,1. Each once. The operations are subtraction and parentheses. So that's another valid formula.
Wait, that's a different approach. Let me check the order of operations. Without parentheses, it would be left to right, but with parentheses around (32-4). So the formula is 59 - (32-4) -1. Let me compute again: 32-4=28, 59-28=31, 31-1=30. Yes, that works.
So that's another possible formula. Which one is better? Both are valid. The user might accept either.
Alternatively, maybe even 59 - 32 -4 +1? Let's see: 59-32=27, 27-4=23, 23+1=24. No.
Hmm, so the two possible formulas are:
1. (59 -32) + (4-1) =30
2. 59 - (32 -4) -1 =30
Either is correct. Let me see if there's any other constraints. The problem says to use each number exactly once, which both do.
The first formula uses two subtractions and an addition, with parentheses. The second uses two subtractions and a subtraction again, with parentheses.
Either is acceptable. The user might prefer one over the other, but both are correct.
Alternatively, maybe even 32 - (59 - (4*1 + something))? Not sure.
Alternatively, 4*(something) + ... Let's see, 4*7=28, but how to get 7? 59-32=27, which is too big.
Hmm, perhaps the first formula is simpler. Let me check again.
Yes, both are correct. Let me see if there's another way.
Wait, 32 divided by (something). 32 divided by (59 - (4+1))? 4+1=5, 59-5=54. 32/54 is less than 1. Not helpful.
Alternatively, (59 +4) - (32 +1) =63 -33=30. Oh! Wait, that's another way. Let me check:
59 +4 =63, 32+1=33. 63-33=30. So the formula would be (59 +4) - (32 +1) =30.
Yes! That's another valid solution.
So that's a third way. Let me confirm:
59+4=63, 32+1=33. 63-33=30. All numbers used once. Perfect.
So that's even simpler. So the formula can be written as (59 +4) - (32 +1) =30.
That's a nice solution.
So now there are three possible formulas. The user probably wants any one of them.
Which one is the best? The third one is perhaps the most straightforward. Let me see:
(59 +4) is 63, minus (32+1)=33 gives 30.
Alternatively, the first one: (59-32)+(4-1)=27+3=30.
The third one might be better because it uses addition and subtraction in a balanced way.
So I can present either. Let me check if there are more.
Another approach: 5*6=30. To get 5 and 6. 5 could be 4+1, and 6 could be 32 - (59 - something). Not sure.
Alternatively, (59 - (32 -4)) -1 = same as the second formula.
Hmm.
Alternatively, 32 - (59 - (4* something)).
Wait, 4* something. 4* (something) to get a number that when subtracted from 59 gives something.
Alternatively, 59 - (32 - (4*1)) =59 -28=31, then minus 1? But that's the second formula.
Alternatively, 32 divided by (something).
Hmm, perhaps the third formula is the best. Let me confirm again:
(59 +4) - (32 +1) =63-33=30.
Yes, that's correct.
So I can choose between these options. The user probably wants any valid formula.
I think the third one is better because it's straightforward. Let me see if there's any other constraints.
The problem says to use each number exactly once, which all the formulas do.
So I can choose any of them. Let me pick the third one because it's a clean equation.
Alternatively, maybe the first one.
Wait, let me check if there's a way using multiplication.
Hmm, 5*6=30. To get 5 and 6.
5 could be 4+1, and 6 could be 32 - (59 - something). Not sure.
Alternatively, 32 divided by (something) to get 6? 32/ (something)=6 → something is 32/6 ≈5.333, which isn't an integer.
Alternatively, 59 divided by something? 59/ (something)=5.9, but not helpful.
Hmm, so multiplication might not be necessary here.
So the best options are the three I found.
I think I'll go with the third one: (59 +4) - (32 +1) =30.
Alternatively, the first one.
Wait, let me see if the problem requires using all four numbers. Yes, each number must be used exactly once. All the formulas do that.
So I can present any of them. Let me pick the third one because it's a simple addition and subtraction.
Alternatively, the first one.
Hmm, perhaps the user expects the first one.
Alternatively, let me see if there's another way.
Wait, 32 - (59 - (4*1 + something))? Not sure.
Alternatively, 59 - 32 =27, then 4-1=3, adding them gives 30.
Yes, that's the first formula.
Alternatively, 59 - (32 -4) -1 =30.
Hmm, all are valid.
I think I'll choose the third one because it's a straightforward combination.
So the formula is (59 +4) - (32 +1) =30.
Alternatively, maybe written as (59 +4) - 32 -1, but with parentheses for clarity.
Yes, the formula with parentheses is better.
So the final answer would be either of these.
I think I'll go with the third one.
Wait, let me check once more.
59 plus 4 is 63, minus (32 plus 1) is 33. 63-33 is 30. Correct.
Yes, that's good.
Alternatively, the first formula is also good.
Hmm, maybe the user expects the first one.
Alternatively, perhaps the second one.
Well, since all are correct, I can choose any.
I think I'll go with the third one because it uses addition and subtraction in a balanced way.
So the formula is (59 +4) - (32 +1) =30.
Alternatively, maybe the user wants the shortest formula.
Alternatively, the first one.
Hmm, I think I'll present the first one.
Wait, let me see the first one again: (59-32)+(4-1).
Yes, that's also correct.
Alternatively, the third one is better.
Hmm, I think I'll go with the third one.
Wait, let me see if there's a way using multiplication.
Wait, 5*6=30. To get 5 and 6.
5 can be 4+1, and 6 can be 32 - (59 - something).
Wait, 32 - (59 - x) =6 → 32 -59 +x =6 → x=6+59-32=33. But 33 isn't available.
Alternatively, 59 - (32 - (4+1)) =59 - (27)=32. Not 30.
Hmm, no.
Alternatively, (32 - (59 -4)) *1. Let's see: 59-4=55, 32-55= -23, times 1 is -23. No.
Hmm, so multiplication isn't helpful here.
Alright, I think I'll go with the third formula.
So the final answer is (59 +4) - (32 +1) =30.
Alternatively, the first formula.
Wait, let me check the first formula again.
(59-32) is 27, plus (4-1)=3, total 30.
Yes, that's also correct.
Hmm, perhaps the user expects the first one.
Alternatively, maybe the second one.
Well, since all are correct, I can choose any.
I think I'll go with the first one because it's the first solution I found.
Wait, but the third one is also good.
Hmm, perhaps the third one is better because it uses all numbers in pairs.
Alternatively, the user might prefer the shortest formula.
Wait, the third formula uses two additions and a subtraction.
The first uses two subtractions and an addition.
Either way, they are similar.
Hmm, I think I'll present the third one.
Wait, let me see if there's a way with division.
Hmm, 32 divided by something.
32 divided by (something) plus something else.
32/(something) = 30. Not possible.
Alternatively, 59 divided by (something) plus something.
Hmm, not helpful.
Alright, I think I'll go with the third formula.
So the formula is (59 +4) - (32 +1) =30.
Yes, that's correct.
Alternatively, maybe written as (59 +4) - 32 -1, but with parentheses for clarity.
Yes, the parentheses make it clearer.
So the final answer is that formula.
Alternatively, the first one.
Hmm, I think I'll go with the third one.
Wait, let me check once more.
59 plus 4 is 63, minus (32 plus 1) is 33. 63-33 is 30.
Yes, that's correct.
So I'll present that as the formula.
Alternatively, the first one.
Hmm, I think I'll choose the third one.
Okay, I think that's the best approach.
**Final Answer**
{
"formula": '(59 + 4) - (32 + 1)'
}
To reach the target number 30 using the numbers 1, 4, 59, and 32, we can use the following approach:
1. **Identify possible combinations**: We need to use each number exactly once with the allowed operations.
2. **Test different operations**: Trying different combinations of addition and subtraction, we find that:
- Adding 59 and 4 gives 63.
- Adding 32 and 1 gives 33.
- Subtracting 33 from 63 results in 30.
Thus, the formula is:
\[
(59 + 4) - (32 + 1) = 30
\]
This uses all the numbers exactly once and achieves the target number through valid operations.
{
"formula": '(59 + 4) - (32 + 1)'
}<|im_end|>
|
[
48,
48,
47,
13
] | 47 |
3911
|
{
"formula": '47 + (48 - 48) * 13'
}
| 3,245 | 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: 48, 48, 47, 13,
target: 47
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 47',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '47 + (48 - 48) * 13'
}<|im_end|>
|
[
33,
22,
2,
46
] | 64 |
3976
|
{
"formula": '2*(22 + 33) - 46 = 64'
}
| 1,479 | 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: 33, 22, 2, 46,
target: 64
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 64',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '2*(22 + 33) - 46 = 64'
}<|im_end|>
|
[
6,
94,
4,
58
] | 65 |
3969
|
{
"formula": '94 - 58/(6 - 4)'
}
| 2,598 | 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, 94, 4, 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": '94 - 58/(6 - 4)'
}<|im_end|>
|
[
63,
15,
8,
64
] | 40 |
3895
|
{
"formula": '63 - (15 + (64 / 8))'
}
| 3,966 | 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: 63, 15, 8, 64,
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": '63 - (15 + (64 / 8))'
}<|im_end|>
|
[
42,
3,
78,
72
] | 40 |
3963
|
{
"formula": '42 - ((78 - 72) / 3)'
}
| 1,189 | 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: 42, 3, 78, 72,
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": '42 - ((78 - 72) / 3)'
}<|im_end|>
|
[
92,
24,
68,
84
] | 84 |
3947
|
{
"formula": '(92 - (24 + 68)) + 84'
}
| 1,774 | 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: 92, 24, 68, 84,
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": '(92 - (24 + 68)) + 84'
}<|im_end|>
|
[
90,
87,
30,
79
] | 46 |
3972
|
{
"formula": '79 - (90 - (87 - 30))'
}
| 890 | 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: 90, 87, 30, 79,
target: 46
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 46',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '79 - (90 - (87 - 30))'
}<|im_end|>
|
[
60,
72,
100,
45
] | 75 |
3356
|
{
"formula": '((100 * 72) / 60) - 45'
}
| 13,711 | 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: 60, 72, 100, 45,
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": '((100 * 72) / 60) - 45'
}<|im_end|>
|
[
28,
7,
29,
94
] | 69 |
3955
|
{
"formula": '(94 - 29) + (28 / 7)'
}
| 1,911 | 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, 7, 29, 94,
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": '(94 - 29) + (28 / 7)'
}<|im_end|>
|
[
55,
34,
15,
58
] | 94 |
3983
|
{
"formula": '55 + 58 - 34 + 15'
}
| 1,978 | 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, 34, 15, 58,
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": '55 + 58 - 34 + 15'
}<|im_end|>
|
[
35,
25,
32,
26
] | 54 |
3982
|
{
"formula": '35 + 25 + 26 - 32'
}
| 1,128 | 4,346 |
<|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, 25, 32, 26,
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": '35 + 25 + 26 - 32'
}<|im_end|>
|
[
28,
1,
80,
3
] | 13 |
3979
|
{
"formula": '(80 - 28) / (3 + 1)'
}
| 614 | 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: 28, 1, 80, 3,
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": '(80 - 28) / (3 + 1)'
}<|im_end|>
|
[
35,
63,
68,
67
] | 27 |
3967
|
{
"formula": '(63 - 35) - (68 - 67)'
}
| 1,552 | 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, 63, 68, 67,
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": '(63 - 35) - (68 - 67)'
}<|im_end|>
|
[
34,
15,
74,
6
] | 18 |
3944
|
{
"formula": '(34 + 74) - (15 * 6)'
}
| 2,646 | 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: 34, 15, 74, 6,
target: 18
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 18',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(34 + 74) - (15 * 6)'
}<|im_end|>
|
[
27,
14,
25,
37
] | 54 |
3997
|
{
"formula": '27*(14 - (37 - 25))'
}
| 1,424 | 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, 14, 25, 37,
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": '27*(14 - (37 - 25))'
}<|im_end|>
|
[
41,
86,
64,
60
] | 79 |
3928
|
{
"formula": '60 + 64 - 86 + 41'
}
| 3,508 | 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: 41, 86, 64, 60,
target: 79
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 79',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '60 + 64 - 86 + 41'
}<|im_end|>
|
[
61,
31,
1,
39
] | 70 |
3917
|
{
"formula": "61 + 39 - 31 + 1"
}
| 4,051 | 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: 61, 31, 1, 39,
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": "61 + 39 - 31 + 1"
}<|im_end|>
|
[
3,
43,
28,
31
] | 19 |
3965
|
{
"formula": '31 + 3 + 28 - 43 = 19'
}
| 2,734 | 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: 3, 43, 28, 31,
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": '31 + 3 + 28 - 43 = 19'
}<|im_end|>
|
[
8,
60,
32,
24
] | 80 |
3920
|
{
"formula": '60 + 24 - (32 / 8) = 80'
}
| 3,460 | 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, 60, 32, 24,
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": '60 + 24 - (32 / 8) = 80'
}<|im_end|>
|
[
73,
42,
84,
77
] | 75 |
3932
|
(75*42)/73 ≈ 42.5, which isn't an integer. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see, (84 -73)=11. Then 77 - (42/11). But 42 divided by 11 is not an integer. Not helpful.
Alternatively, (77 - (84/ (something))). Let's see, 84 divided by 42 is 2. So 77-2=75. But then how to use 73? Maybe 73 multiplied by 1, but that requires using 73 and then 1 from somewhere. But I can't do that without repeating numbers.
Wait, perhaps (77 - (84/42)) + (73 -73). But that's using 73 twice. Not allowed.
Hmm, maybe I need to think of a different approach. Let me list all possible pairs and see if any combination can lead to 75.
Looking at 73 and 42: 73+42=115, 73-42=31, 73*42=3066, 73/42≈1.738.
73 and 84: 73+84=157, 73-84= -11, 73*84=6132, 73/84≈0.869.
73 and 77: 73+77=150, 73-77= -4, 73*77=5621, 73/77≈0.948.
42 and 84: 42+84=126, 42-84= -42, 42*84=3528, 42/84=0.5.
42 and 77: 42+77=119, 42-77= -35, 42*77=3234, 42/77≈0.545.
84 and 77: 84+77=161, 84-77=7, 84*77=6468, 84/77≈1.09.
Hmm, the 84-77=7 is useful. Let's see if that can be part of the equation. So 7 is a useful number. Then, perhaps 7 multiplied by something. 7*10.714 is 75, but not integer. Alternatively, 7*10 +5, but how?
Alternatively, 7*(something) plus another number. Let's see, 7*10 is 70 plus 5 is 75. But how to get 10 and 5 from the remaining numbers. Wait, 42 divided by 4.2 is 10, but that's not helpful. Alternatively, 42 divided by (something) to get 10? Not sure.
Alternatively, maybe 7*(something) plus (something else). Let's see, 7* (something) plus (something else) =75. Let's see, if I have 7 from 84-77, then the remaining numbers are 73 and 42. So 7*(x) + y =75, where x and y are made from 73 and 42. Let's see:
Possible combinations with 73 and 42:
73+42=115, 73-42=31, 73*42=3066, 73/42≈1.738, 42/73≈0.575.
So, if I take 7*(something) + (something else) =75. Let's see:
If I take 7*(something) as 7* (something from 73 and 42). Let's see:
If I do 7*(73 -42) =7*31=217. Then 217 + something? Not helpful.
Alternatively, 7*(42/ something). 42 divided by 73 is ~0.575. 7*0.575≈4. So 4 + something? Not helpful.
Alternatively, maybe 7*(something) minus something else. 7* (something) - (something else) =75.
Let's see, 7*(73) -42 =511-42=469. No. 7*42 -73=294-73=221. Not helpful.
Hmm, maybe this path isn't working. Let's think differently.
What if I use division in a more complex way. Let's see, (84 - (77 - (73 -42))). Let's compute step by step:
73-42=31. Then 77-31=46. Then 84-46=38. Not helpful.
Alternatively, ( (84 / (77 -73)) ) * (something). 77-73=4. 84/4=21. Then 21 * (something with 42). 21*42=882. Not helpful.
Hmm, maybe (73 - (something)) * (something). Let's see, 73 - (something) = 75/(something). Not sure.
Alternatively, 42 divided by (something) to get a fraction. Let's see, 42/(77-73)=42/4=10.5. Then 73 +10.5=83.5. Not helpful.
Wait, 77 - (84/(42/ something)). Let me see, 42 divided by something. Let's say 42 divided by 73 is ~0.575. Then 84 divided by that is 84/(0.575)≈146. So 77 -146 is negative. Not helpful.
Hmm, maybe trying to use all four numbers in a multiplication/division chain. Let's see:
(73 - (84 / (77 -42))). Let's compute denominator first: 77-42=35. 84/35=2.4. Then 73-2.4=70.6. Not 75.
Alternatively, ( (73 +42) * (84 -77) ) / something. 73+42=115, 84-77=7. 115*7=805. 805 divided by something to get 75. 805/75≈10.73. Not an integer.
Hmm, maybe ( (84 +77) - (73 +42) ). 84+77=161, 73+42=115. 161-115=46. Not helpful.
Alternatively, ( (84 *77) / (something) ) - something. 84*77=6468. Divided by something to get near 75. 6468/86.24=75. But that's not helpful.
Hmm, this is really challenging. Maybe I need to think of a different combination. Let me try to see if there's a way to get 75 by combining three numbers first and then using the fourth.
Wait, let's see: 77 - (84/42) =75. That uses 77,84,42. Then how to include 73? Maybe 73 + (77 - (84/42)) -73? But that cancels out. Not allowed.
Alternatively, (77 - (84/42)) * (73/73). But that's 75*1=75, but uses 73 twice. Not allowed.
Hmm, maybe I need to use all four numbers in a way that the operations cancel out the extra. Let's see:
Suppose I do (73 +42) - (84 -77). Let's compute that: 73+42=115, 84-77=7. 115-7=108. Not helpful.
Alternatively, (73 * (something)) divided by (something else). Let's see, 73*(something) divided by (something else) equals 75. Let's see:
Suppose I do (73 * (84 -77)) divided by (something). 84-77=7. 73*7=511. 511 divided by something equals 75. 511/75≈6.81. Not an integer.
Alternatively, ( (73 +77) * (something) ) divided by something. 73+77=150. 150* something divided by something else. Not sure.
Hmm, maybe ( (84 -73) * (something) ) + something. 84-73=11. 11* something. 11*6=66, plus 9 is 75. But how to get 6 and 9 from 42 and77? Not sure.
Alternatively, 11*(something) plus (something else). Let's see, 11*(7) is 77, plus 8 is 85. Not helpful.
Hmm, maybe trying to use fractions more cleverly. Let's see:
If I do (73 + (84 / (77 -42))). Let's compute denominator:77-42=35. 84/35=2.4. 73+2.4=75.4. Close but not exact. But maybe that's the closest? But the problem requires exact.
Alternatively, ( (73 * 42) / (something) ) - something. 73*42=3066. 3066 divided by something to get near 75. 3066/40.88=75. Not helpful.
Hmm, maybe I'm missing something obvious. Let me try to think of the numbers again: 73,42,84,77. Target 75.
Wait, 77 minus (something) equals 75. So that something is 2. How to get 2 from 73,42,84. 84 divided by42 is 2. So 77 - (84/42)=75. But then what about 73? I have to use it. So maybe (77 - (84/42)) + (73 -73)=75+0=75. But that uses 73 twice. Not allowed.
Alternatively, maybe (77 - (84/42)) multiplied by (73/73). But again, uses 73 twice.
Hmm, perhaps the formula has to involve all four numbers in a way that the 73 is somehow canceled out. Like 73 plus something minus 73. But that would be redundant.
Alternatively, maybe ( (73 - (something)) * (something) ) + something. Not sure.
Wait, let me try another angle. Let's see, 75 is 3*5*5. Maybe factors can help. Let's see if any combination can multiply to 75. But with the given numbers, it's hard. 73 is a prime, 42=2*3*7, 84=2²*3*7, 77=7*11. So factors don't align.
Hmm, perhaps ( (84 - 77) * (something) ) + something. 84-77=7. 7*10=70 plus 5 is 75. How to get 10 and 5 from 73 and42. 42 divided by (something) to get 10? 42/4.2=10, but that's not an integer. Alternatively, 73-63=10, but 63 is 7*9, but not sure.
Alternatively, 7*(something) plus (something else). Let's see, 7*10 +5=75. To get 10 from 42 and73. 42-32=10, but 32 isn't available. Alternatively, 73-63=10, but 63 is 7*9. Not sure.
Hmm, maybe I need to use division in a different way. Let's see:
What if I do (73 +42) divided by (something) multiplied by something else. 73+42=115. 115 divided by (something) times something else. Not sure.
Alternatively, ( (84 +77) - (73 +42) ) = 161-115=46. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see:
( (84 / (77 - (73 -42))) ). Let's compute inner part:73-42=31. 77-31=46. 84/46≈1.826. Not helpful.
Alternatively, ( (77 - (84 / (73 -42))) ). 73-42=31. 84/31≈2.709. 77-2.709≈74.29. Close but not exact.
Hmm, maybe ( (73 * (something)) - (something else) ). Let's see, 73*1.027=75. But how?
Alternatively, 73 + ( (84 -77) * (42/ something) ). 84-77=7. 42 divided by something. Let's say 42 divided by 7 is 6. So 7*6=42. Then 73+42=115. Not helpful.
Wait, 7*(something). Let me think again. 7*(something) plus (something else). 7*10 is 70 plus 5 is 75. To get 10 and 5 from 73 and42. 42 divided by (something) to get 10? 42 divided by 4.2 is 10. But 4.2 is 42/10. Not helpful.
Alternatively, 73 - (something) =5. Then 5 +70=75. But how to get 70 from the other numbers. 84-14=70. But 14 is 42/3, but not sure.
Hmm, maybe I'm overcomplicating. Let me try to see if there's a way to use all four numbers in an equation that equals 75.
Wait a second! Let me try this:
77 - (84 / 42) =75. But that uses three numbers. To include 73, perhaps multiply by (73/73). But that's using 73 twice. Not allowed.
Alternatively, maybe (77 - (84/42)) + (73 -73) =75+0=75. But again, using 73 twice.
Hmm, maybe the problem requires a different approach where all four numbers are used in a way that the 73 is part of the equation but cancels out somehow. Like (73 + x) -73 =x. But that would require x to be 75, but then how?
Alternatively, maybe ( (73 - (something)) * (something) ) + something. Not sure.
Wait, let me think of the numbers again. 73,42,84,77. The target is 75. Let me see if I can write 75 as 73 +2, and then get the 2 from 84/42, but then what about 77? Maybe subtract it and add it back? Like 73 + (84/42) + (77 -77). But that uses 77 twice.
Alternatively, maybe (73 + (84/42)) * (77/77). But that's using 77 twice again.
Hmm, maybe I'm missing a combination where all four numbers are used without repeating. Let me try to think of a formula that uses all four numbers.
Wait, what if I do (73 + 42) - (84 -77). Let's compute that:
73+42=115, 84-77=7. 115-7=108. Not 75.
Alternatively, (73 * (something)) minus (something else). Let's see:
73*(something) minus (something else) =75. Let's see, 73*1=73. 73 +2=75. So need to subtract a negative? Not sure.
Alternatively, 73 + (something) - (something else). Let's see, 73 + (84 - (77 +42)). 77+42=119, 84-119= -35. 73-35=38. No.
Hmm, maybe ( (73 -42) * (something) ) + something. 73-42=31. 31*2=62 plus 13=75. But how to get 2 and 13 from 84 and77. 84-77=7. 7+6=13, but where to get 6?
Alternatively, 31*(something) plus (something else). 31*2=62 plus 13=75. 13 could be 84-71, but not sure.
Hmm, this is really tough. Maybe I need to try a different approach. Let me think of all possible two-number operations and see if any can be combined.
Possible two-number operations:
73+42=115, 73-42=31, 73*42=3066, 73/42≈1.738
73+84=157, 73-84=-11, 73*84=6132, 73/84≈0.869
73+77=150, 73-77=-4, 73*77=5621, 73/77≈0.948
42+84=126, 42-84=-42, 42*84=3528, 42/84=0.5
42+77=119, 42-77=-35, 42*77=3234, 42/77≈0.545
84+77=161, 84-77=7, 84*77=6468, 84/77≈1.09
Now, let's see if any of these can be combined with the remaining numbers to reach 75.
Looking at 84-77=7. That's useful. Let's see:
If I have 7 from 84-77, then I need to combine that with the remaining numbers 73 and42 to get 75. So 7 plus something equals 75? That would need 68 from 73 and42. 73+42=115, which is too much. 73-42=31. 31+7=38. Not helpful.
Alternatively, 7 multiplied by something. 7*10.714=75. Not helpful.
Alternatively, 7*(something) plus (something else). Let's see, 7*10=70 plus5=75. To get 10 and5 from 73 and42. 42 divided by (something) to get 10? 42/4.2=10. But 4.2 is 42/10, which loops.
Hmm, maybe 7*(something) plus (something else). Let's see, 7*(something from 73 and42) plus another number.
Wait, 7*(73 -42)=7*31=217. 217 plus something? No.
Alternatively, 7*(42/ something). 42 divided by 73 is ~0.575. 7*0.575≈4. So 4 plus something? Not helpful.
Hmm, maybe using division with 7. Let's see, 73 divided by (something) plus something. 73/(something) + something =75. Let's see:
If I do 73/(something) + (something else)=75. Let's see, using 42,84,77. For example, 73/(something) + (something else). Let's see:
If I take 73/(something) as 73/ (something from 42,84,77). Let's see:
73/ (84-77)=73/7≈10.428. Then 10.428 + (something from remaining numbers). The remaining numbers would be 42 and the other two? Wait, this is getting too convoluted.
Alternatively, maybe ( (73 +42) / (something) ) * something. 73+42=115. 115 divided by something times something else. Not sure.
Hmm, I'm really stuck here. Maybe I need to try a different combination. Let me think of using multiplication and subtraction.
Let's see, 77 * (something) minus something. 77*1=77. 77-2=75. How to get 2 from 73,42,84. 84 divided by42=2. So 77 - (84/42)=75. But then what about 73? I have to use it. So maybe (77 - (84/42)) * (73/73). But that uses 73 twice. Not allowed.
Alternatively, maybe (77 - (84/42)) + (73 -73). But again, same issue.
Hmm, perhaps the problem requires a different approach where all four numbers are used in a way that the 73 is part of a fraction or something. Let me try:
( (73 * 42) / (something) ) - something. 73*42=3066. Let's see, 3066 divided by 40.88 is 75. Not helpful.
Alternatively, ( (84 *77) / (something) ) - something. 84*77=6468. 6468 divided by 86.24 is 75. Not helpful.
Hmm, maybe ( (73 +77) * (something) ) divided by something. 73+77=150. 150* something divided by something else. 150* (something) divided by (something else) =75. So 150x/y=75 → x/y=0.5. So maybe 150*(something) divided by (something*2). Let's see:
If I take 150*(42) divided by (something). 150*42=6300. 6300 divided by 84=75. Oh! Wait, that's possible!
Let me check that:
( (73 +77) *42 ) /84 = (150 *42)/84 = (150*42)/(84) = 150*(42/84)=150*(0.5)=75. Yes! That works.
So the formula would be ( (73 +77) *42 ) /84 =75. Let's verify:
73+77 is 150. 150 multiplied by42 is 6300. Divided by84 is 6300/84=75. Exactly. And all numbers are used exactly once: 73,77,42,84. Perfect!
So the formula is ((73 + 77) * 42) / 84 =75.
Yes! That works. I think that's the solution.
{
"formula": '((73 + 77) * 42) / 84'
}
| 9,571 | 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, 42, 84, 77,
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
(75*42)/73 ≈ 42.5, which isn't an integer. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see, (84 -73)=11. Then 77 - (42/11). But 42 divided by 11 is not an integer. Not helpful.
Alternatively, (77 - (84/ (something))). Let's see, 84 divided by 42 is 2. So 77-2=75. But then how to use 73? Maybe 73 multiplied by 1, but that requires using 73 and then 1 from somewhere. But I can't do that without repeating numbers.
Wait, perhaps (77 - (84/42)) + (73 -73). But that's using 73 twice. Not allowed.
Hmm, maybe I need to think of a different approach. Let me list all possible pairs and see if any combination can lead to 75.
Looking at 73 and 42: 73+42=115, 73-42=31, 73*42=3066, 73/42≈1.738.
73 and 84: 73+84=157, 73-84= -11, 73*84=6132, 73/84≈0.869.
73 and 77: 73+77=150, 73-77= -4, 73*77=5621, 73/77≈0.948.
42 and 84: 42+84=126, 42-84= -42, 42*84=3528, 42/84=0.5.
42 and 77: 42+77=119, 42-77= -35, 42*77=3234, 42/77≈0.545.
84 and 77: 84+77=161, 84-77=7, 84*77=6468, 84/77≈1.09.
Hmm, the 84-77=7 is useful. Let's see if that can be part of the equation. So 7 is a useful number. Then, perhaps 7 multiplied by something. 7*10.714 is 75, but not integer. Alternatively, 7*10 +5, but how?
Alternatively, 7*(something) plus another number. Let's see, 7*10 is 70 plus 5 is 75. But how to get 10 and 5 from the remaining numbers. Wait, 42 divided by 4.2 is 10, but that's not helpful. Alternatively, 42 divided by (something) to get 10? Not sure.
Alternatively, maybe 7*(something) plus (something else). Let's see, 7* (something) plus (something else) =75. Let's see, if I have 7 from 84-77, then the remaining numbers are 73 and 42. So 7*(x) + y =75, where x and y are made from 73 and 42. Let's see:
Possible combinations with 73 and 42:
73+42=115, 73-42=31, 73*42=3066, 73/42≈1.738, 42/73≈0.575.
So, if I take 7*(something) + (something else) =75. Let's see:
If I take 7*(something) as 7* (something from 73 and 42). Let's see:
If I do 7*(73 -42) =7*31=217. Then 217 + something? Not helpful.
Alternatively, 7*(42/ something). 42 divided by 73 is ~0.575. 7*0.575≈4. So 4 + something? Not helpful.
Alternatively, maybe 7*(something) minus something else. 7* (something) - (something else) =75.
Let's see, 7*(73) -42 =511-42=469. No. 7*42 -73=294-73=221. Not helpful.
Hmm, maybe this path isn't working. Let's think differently.
What if I use division in a more complex way. Let's see, (84 - (77 - (73 -42))). Let's compute step by step:
73-42=31. Then 77-31=46. Then 84-46=38. Not helpful.
Alternatively, ( (84 / (77 -73)) ) * (something). 77-73=4. 84/4=21. Then 21 * (something with 42). 21*42=882. Not helpful.
Hmm, maybe (73 - (something)) * (something). Let's see, 73 - (something) = 75/(something). Not sure.
Alternatively, 42 divided by (something) to get a fraction. Let's see, 42/(77-73)=42/4=10.5. Then 73 +10.5=83.5. Not helpful.
Wait, 77 - (84/(42/ something)). Let me see, 42 divided by something. Let's say 42 divided by 73 is ~0.575. Then 84 divided by that is 84/(0.575)≈146. So 77 -146 is negative. Not helpful.
Hmm, maybe trying to use all four numbers in a multiplication/division chain. Let's see:
(73 - (84 / (77 -42))). Let's compute denominator first: 77-42=35. 84/35=2.4. Then 73-2.4=70.6. Not 75.
Alternatively, ( (73 +42) * (84 -77) ) / something. 73+42=115, 84-77=7. 115*7=805. 805 divided by something to get 75. 805/75≈10.73. Not an integer.
Hmm, maybe ( (84 +77) - (73 +42) ). 84+77=161, 73+42=115. 161-115=46. Not helpful.
Alternatively, ( (84 *77) / (something) ) - something. 84*77=6468. Divided by something to get near 75. 6468/86.24=75. But that's not helpful.
Hmm, this is really challenging. Maybe I need to think of a different combination. Let me try to see if there's a way to get 75 by combining three numbers first and then using the fourth.
Wait, let's see: 77 - (84/42) =75. That uses 77,84,42. Then how to include 73? Maybe 73 + (77 - (84/42)) -73? But that cancels out. Not allowed.
Alternatively, (77 - (84/42)) * (73/73). But that's 75*1=75, but uses 73 twice. Not allowed.
Hmm, maybe I need to use all four numbers in a way that the operations cancel out the extra. Let's see:
Suppose I do (73 +42) - (84 -77). Let's compute that: 73+42=115, 84-77=7. 115-7=108. Not helpful.
Alternatively, (73 * (something)) divided by (something else). Let's see, 73*(something) divided by (something else) equals 75. Let's see:
Suppose I do (73 * (84 -77)) divided by (something). 84-77=7. 73*7=511. 511 divided by something equals 75. 511/75≈6.81. Not an integer.
Alternatively, ( (73 +77) * (something) ) divided by something. 73+77=150. 150* something divided by something else. Not sure.
Hmm, maybe ( (84 -73) * (something) ) + something. 84-73=11. 11* something. 11*6=66, plus 9 is 75. But how to get 6 and 9 from 42 and77? Not sure.
Alternatively, 11*(something) plus (something else). Let's see, 11*(7) is 77, plus 8 is 85. Not helpful.
Hmm, maybe trying to use fractions more cleverly. Let's see:
If I do (73 + (84 / (77 -42))). Let's compute denominator:77-42=35. 84/35=2.4. 73+2.4=75.4. Close but not exact. But maybe that's the closest? But the problem requires exact.
Alternatively, ( (73 * 42) / (something) ) - something. 73*42=3066. 3066 divided by something to get near 75. 3066/40.88=75. Not helpful.
Hmm, maybe I'm missing something obvious. Let me try to think of the numbers again: 73,42,84,77. Target 75.
Wait, 77 minus (something) equals 75. So that something is 2. How to get 2 from 73,42,84. 84 divided by42 is 2. So 77 - (84/42)=75. But then what about 73? I have to use it. So maybe (77 - (84/42)) + (73 -73)=75+0=75. But that uses 73 twice. Not allowed.
Alternatively, maybe (77 - (84/42)) multiplied by (73/73). But again, uses 73 twice.
Hmm, perhaps the formula has to involve all four numbers in a way that the 73 is somehow canceled out. Like 73 plus something minus 73. But that would be redundant.
Alternatively, maybe ( (73 - (something)) * (something) ) + something. Not sure.
Wait, let me try another angle. Let's see, 75 is 3*5*5. Maybe factors can help. Let's see if any combination can multiply to 75. But with the given numbers, it's hard. 73 is a prime, 42=2*3*7, 84=2²*3*7, 77=7*11. So factors don't align.
Hmm, perhaps ( (84 - 77) * (something) ) + something. 84-77=7. 7*10=70 plus 5 is 75. How to get 10 and 5 from 73 and42. 42 divided by (something) to get 10? 42/4.2=10, but that's not an integer. Alternatively, 73-63=10, but 63 is 7*9, but not sure.
Alternatively, 7*(something) plus (something else). Let's see, 7*10 +5=75. To get 10 from 42 and73. 42-32=10, but 32 isn't available. Alternatively, 73-63=10, but 63 is 7*9. Not sure.
Hmm, maybe I need to use division in a different way. Let's see:
What if I do (73 +42) divided by (something) multiplied by something else. 73+42=115. 115 divided by (something) times something else. Not sure.
Alternatively, ( (84 +77) - (73 +42) ) = 161-115=46. Not helpful.
Hmm, maybe trying to use subtraction and division. Let's see:
( (84 / (77 - (73 -42))) ). Let's compute inner part:73-42=31. 77-31=46. 84/46≈1.826. Not helpful.
Alternatively, ( (77 - (84 / (73 -42))) ). 73-42=31. 84/31≈2.709. 77-2.709≈74.29. Close but not exact.
Hmm, maybe ( (73 * (something)) - (something else) ). Let's see, 73*1.027=75. But how?
Alternatively, 73 + ( (84 -77) * (42/ something) ). 84-77=7. 42 divided by something. Let's say 42 divided by 7 is 6. So 7*6=42. Then 73+42=115. Not helpful.
Wait, 7*(something). Let me think again. 7*(something) plus (something else). 7*10 is 70 plus 5 is 75. To get 10 and 5 from 73 and42. 42 divided by (something) to get 10? 42 divided by 4.2 is 10. But 4.2 is 42/10. Not helpful.
Alternatively, 73 - (something) =5. Then 5 +70=75. But how to get 70 from the other numbers. 84-14=70. But 14 is 42/3, but not sure.
Hmm, maybe I'm overcomplicating. Let me try to see if there's a way to use all four numbers in an equation that equals 75.
Wait a second! Let me try this:
77 - (84 / 42) =75. But that uses three numbers. To include 73, perhaps multiply by (73/73). But that's using 73 twice. Not allowed.
Alternatively, maybe (77 - (84/42)) + (73 -73) =75+0=75. But again, using 73 twice.
Hmm, maybe the problem requires a different approach where all four numbers are used in a way that the 73 is part of the equation but cancels out somehow. Like (73 + x) -73 =x. But that would require x to be 75, but then how?
Alternatively, maybe ( (73 - (something)) * (something) ) + something. Not sure.
Wait, let me think of the numbers again. 73,42,84,77. The target is 75. Let me see if I can write 75 as 73 +2, and then get the 2 from 84/42, but then what about 77? Maybe subtract it and add it back? Like 73 + (84/42) + (77 -77). But that uses 77 twice.
Alternatively, maybe (73 + (84/42)) * (77/77). But that's using 77 twice again.
Hmm, maybe I'm missing a combination where all four numbers are used without repeating. Let me try to think of a formula that uses all four numbers.
Wait, what if I do (73 + 42) - (84 -77). Let's compute that:
73+42=115, 84-77=7. 115-7=108. Not 75.
Alternatively, (73 * (something)) minus (something else). Let's see:
73*(something) minus (something else) =75. Let's see, 73*1=73. 73 +2=75. So need to subtract a negative? Not sure.
Alternatively, 73 + (something) - (something else). Let's see, 73 + (84 - (77 +42)). 77+42=119, 84-119= -35. 73-35=38. No.
Hmm, maybe ( (73 -42) * (something) ) + something. 73-42=31. 31*2=62 plus 13=75. But how to get 2 and 13 from 84 and77. 84-77=7. 7+6=13, but where to get 6?
Alternatively, 31*(something) plus (something else). 31*2=62 plus 13=75. 13 could be 84-71, but not sure.
Hmm, this is really tough. Maybe I need to try a different approach. Let me think of all possible two-number operations and see if any can be combined.
Possible two-number operations:
73+42=115, 73-42=31, 73*42=3066, 73/42≈1.738
73+84=157, 73-84=-11, 73*84=6132, 73/84≈0.869
73+77=150, 73-77=-4, 73*77=5621, 73/77≈0.948
42+84=126, 42-84=-42, 42*84=3528, 42/84=0.5
42+77=119, 42-77=-35, 42*77=3234, 42/77≈0.545
84+77=161, 84-77=7, 84*77=6468, 84/77≈1.09
Now, let's see if any of these can be combined with the remaining numbers to reach 75.
Looking at 84-77=7. That's useful. Let's see:
If I have 7 from 84-77, then I need to combine that with the remaining numbers 73 and42 to get 75. So 7 plus something equals 75? That would need 68 from 73 and42. 73+42=115, which is too much. 73-42=31. 31+7=38. Not helpful.
Alternatively, 7 multiplied by something. 7*10.714=75. Not helpful.
Alternatively, 7*(something) plus (something else). Let's see, 7*10=70 plus5=75. To get 10 and5 from 73 and42. 42 divided by (something) to get 10? 42/4.2=10. But 4.2 is 42/10, which loops.
Hmm, maybe 7*(something) plus (something else). Let's see, 7*(something from 73 and42) plus another number.
Wait, 7*(73 -42)=7*31=217. 217 plus something? No.
Alternatively, 7*(42/ something). 42 divided by 73 is ~0.575. 7*0.575≈4. So 4 plus something? Not helpful.
Hmm, maybe using division with 7. Let's see, 73 divided by (something) plus something. 73/(something) + something =75. Let's see:
If I do 73/(something) + (something else)=75. Let's see, using 42,84,77. For example, 73/(something) + (something else). Let's see:
If I take 73/(something) as 73/ (something from 42,84,77). Let's see:
73/ (84-77)=73/7≈10.428. Then 10.428 + (something from remaining numbers). The remaining numbers would be 42 and the other two? Wait, this is getting too convoluted.
Alternatively, maybe ( (73 +42) / (something) ) * something. 73+42=115. 115 divided by something times something else. Not sure.
Hmm, I'm really stuck here. Maybe I need to try a different combination. Let me think of using multiplication and subtraction.
Let's see, 77 * (something) minus something. 77*1=77. 77-2=75. How to get 2 from 73,42,84. 84 divided by42=2. So 77 - (84/42)=75. But then what about 73? I have to use it. So maybe (77 - (84/42)) * (73/73). But that uses 73 twice. Not allowed.
Alternatively, maybe (77 - (84/42)) + (73 -73). But again, same issue.
Hmm, perhaps the problem requires a different approach where all four numbers are used in a way that the 73 is part of a fraction or something. Let me try:
( (73 * 42) / (something) ) - something. 73*42=3066. Let's see, 3066 divided by 40.88 is 75. Not helpful.
Alternatively, ( (84 *77) / (something) ) - something. 84*77=6468. 6468 divided by 86.24 is 75. Not helpful.
Hmm, maybe ( (73 +77) * (something) ) divided by something. 73+77=150. 150* something divided by something else. 150* (something) divided by (something else) =75. So 150x/y=75 → x/y=0.5. So maybe 150*(something) divided by (something*2). Let's see:
If I take 150*(42) divided by (something). 150*42=6300. 6300 divided by 84=75. Oh! Wait, that's possible!
Let me check that:
( (73 +77) *42 ) /84 = (150 *42)/84 = (150*42)/(84) = 150*(42/84)=150*(0.5)=75. Yes! That works.
So the formula would be ( (73 +77) *42 ) /84 =75. Let's verify:
73+77 is 150. 150 multiplied by42 is 6300. Divided by84 is 6300/84=75. Exactly. And all numbers are used exactly once: 73,77,42,84. Perfect!
So the formula is ((73 + 77) * 42) / 84 =75.
Yes! That works. I think that's the solution.
{
"formula": '((73 + 77) * 42) / 84'
}<|im_end|>
|
[
7,
24,
35,
39
] | 68 |
3977
|
{
"formula": '(39 - 35) * (24 - 7)'
}
| 1,436 | 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, 24, 35, 39,
target: 68
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 68',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(39 - 35) * (24 - 7)'
}<|im_end|>
|
[
52,
95,
56,
54
] | 78 |
3904
|
{
"formula": "(95 - 56) * (54 - 52)"
}
| 809 | 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: 52, 95, 56, 54,
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": "(95 - 56) * (54 - 52)"
}<|im_end|>
|
[
61,
2,
72,
49
] | 24 |
3806
|
{
"formula": "(72 / 2) - (61 - 49)"
}
| 2,648 | 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: 61, 2, 72, 49,
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": "(72 / 2) - (61 - 49)"
}<|im_end|>
|
[
89,
90,
27,
25
] | 53 |
3984
|
{
"formula": '(90 - 89) + (25 + 27)'
}
| 1,349 | 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: 89, 90, 27, 25,
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": '(90 - 89) + (25 + 27)'
}<|im_end|>
|
[
19,
70,
26,
12
] | 75 |
3987
|
{
"formula": '70 + 12 - (26 - 19)'
}
| 2,782 | 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, 70, 26, 12,
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": '70 + 12 - (26 - 19)'
}<|im_end|>
|
[
41,
32,
74,
2
] | 75 |
3974
|
≈18.22. Not.
Hmm. Let's try another approach. Let's see if 75 can be formed by 74 plus (something involving the other numbers). Since 74 is close to 75, maybe adding 1. To get 1 from 41,32,2. Let's see:
How to get 1 from 41,32,2. Maybe (32 / (41 - something)). Let's see, 41 - 32 =9. 32 divided by 9 is not 1. Alternatively, (41 - 32) divided by 2 is 4.5. Not 1. Hmm.
Alternatively, (2/(32 -41)). That would be 2/-9 ≈-0.222. Not helpful.
Hmm. Maybe ( (41 - 32) - 2 ) =7-2=5. Not 1. Not helpful.
Hmm. Maybe ( (32 / 2) - (41 - something) ). Not sure.
Alternatively, 32 divided by (41 - (74 -2)). Let's compute denominator: 74-2=72, 41-72= -31. 32/-31 is negative. Not.
Hmm. Maybe I need to use multiplication and division in a different way. Let's see:
Suppose I do 41 * 2 =82. Then 82 - (74 -32) =82 -42=40. Not.
Alternatively, 41 * (32 - (74 /2)). Let's compute 74/2=37. 32-37= -5. 41*(-5)= -205. No.
Hmm. Let's try 32 * 2 =64. Then 64 +41=105. 105 -74=31. Not.
Hmm. Maybe (74 - (41 - (32 /2))). Let's compute 32/2=16. 41-16=25. 74-25=49. Not.
Hmm. Maybe ( (41 + 32) - (74 /2) ). 41+32=73, 74/2=37. 73-37=36. Not.
Hmm. Let me think of all possible groupings. Since there are four numbers, the formula will have three operations. Let me try to list possible groupings:
Option 1: ((a + b) * c) - d
Option 2: (a + (b * c)) - d
Option 3: a + (b * (c - d))
Etc. Maybe trying different groupings.
Let me try ((41 + 32) * 2) -74. As before, that gives 73*2=146, minus74=72. Close to 75 but 3 less. Hmm. If I can adjust that somehow. Wait, but how?
Alternatively, ((41 + 32) * (2)) - (74 - something). But I have to use all numbers. So that's not possible.
Hmm. Alternatively, ((41 * 2) + 32) - (74 - something). Not sure.
Wait, maybe ((74 - 2) * (something)). 74-2=72. 72 * (something). 72*(1.041)=75, but that's not helpful.
Hmm. Let me try another grouping. Let's see:
(74 - (41 - 32)) * 2. Compute inside first: 41-32=9. 74-9=65. 65*2=130. Not.
Hmm. ( (74 - 41) + 32 ) *2. 74-41=33, +32=65. 65*2=130. Same as above.
Hmm. ( (32 + 2) * (74 -41) ). 34 *33=1122. No.
Hmm. Let me think of division. Maybe ( (74 + 2) * (32 /41) ). 76*(0.78)≈60. Not.
Alternatively, ( (41 * 32) / (74 -2) ). 1312/72≈18.22. Not.
Hmm. Maybe ( (41 - (74 / 2)) * 32 ). Let's compute 74/2=37. 41-37=4. 4*32=128. Not.
Hmm. Let me try ( (32 / 2) * (74 -41) ). 16 *33=528. No.
Hmm. Maybe ( (74 / (41 - 32)) ) *2. 41-32=9. 74/9≈8.222*2≈16.44. Not.
Hmm. Let me think of using subtraction in a different way. Like 74 plus (something minus something else). Let's see:
74 + ( (41 - (32 /2)) ). 32/2=16. 41-16=25. 74+25=99. Not.
Hmm. 74 + ( (32 - (41 /2)) ). 41/2=20.5. 32-20.5=11.5. 74+11.5=85.5. Not.
Hmm. Maybe ( (41 * 2) + 32 ) - (74 - something). Wait, but again, need to use all numbers.
Wait, perhaps ( (41 * 2) + (74 -32) ). 41*2=82, 74-32=42. 82+42=124. Not.
Hmm. Let me try ( (74 + 41) - (32 *2) ). 74+41=115, 32*2=64. 115-64=51. Not.
Hmm. ( (32 +41) * (74 / (2 + something)) ). Not sure.
Wait, maybe ( (74 - (41 - 2)) * (32 / something) ). Let me see: 41-2=39, 74-39=35. 32 divided by something. If I divide by 32/ (something), but I need to use all numbers. Hmm.
Alternatively, ( (74 - (41 -2)) ) * (32 / something). Let's see, 35 * (32 / something). The something has to be 2, but then 32/2=16. 35*16=560. Not.
Hmm. Maybe I'm missing something obvious. Let me try all possible combinations step by step.
Let me list all possible pairs and see:
First, take 74 and 2. Let's see:
74 +2 =76. Then need to combine 41 and 32 with this. 76 +41 +32 =149. No. Or 76 * (41-32)=76*9=684. Not.
74 -2=72. Then 72 +41+32=145. Not. 72*(41-32)=72*9=648. No.
74 *2=148. Then 148 +41+32=221. No. 148 - (41+32)=75. Wait a second! Wait, 148 minus (41+32) equals 148-73=75. Exactly! Oh! That's it!
Wait, let me check again. 74 multiplied by 2 is 148. Then subtract (41 +32). 41+32 is 73. 148-73=75. Yes! And all numbers are used exactly once: 74, 2, 41, 32. So the formula would be (74 * 2) - (41 + 32) = 148 -73 =75. That works!
Wait, but let me confirm the operations. The formula is 74 multiplied by 2, then subtract the sum of 41 and 32. So written as (74 * 2) - (41 + 32). Yes, that uses all four numbers once each, and the operations are multiplication, addition, and subtraction. Parentheses are used to group the addition. So that should be the correct formula.
{
"formula": '(74 * 2) - (41 + 32)'
}
| 5,703 | 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: 41, 32, 74, 2,
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
≈18.22. Not.
Hmm. Let's try another approach. Let's see if 75 can be formed by 74 plus (something involving the other numbers). Since 74 is close to 75, maybe adding 1. To get 1 from 41,32,2. Let's see:
How to get 1 from 41,32,2. Maybe (32 / (41 - something)). Let's see, 41 - 32 =9. 32 divided by 9 is not 1. Alternatively, (41 - 32) divided by 2 is 4.5. Not 1. Hmm.
Alternatively, (2/(32 -41)). That would be 2/-9 ≈-0.222. Not helpful.
Hmm. Maybe ( (41 - 32) - 2 ) =7-2=5. Not 1. Not helpful.
Hmm. Maybe ( (32 / 2) - (41 - something) ). Not sure.
Alternatively, 32 divided by (41 - (74 -2)). Let's compute denominator: 74-2=72, 41-72= -31. 32/-31 is negative. Not.
Hmm. Maybe I need to use multiplication and division in a different way. Let's see:
Suppose I do 41 * 2 =82. Then 82 - (74 -32) =82 -42=40. Not.
Alternatively, 41 * (32 - (74 /2)). Let's compute 74/2=37. 32-37= -5. 41*(-5)= -205. No.
Hmm. Let's try 32 * 2 =64. Then 64 +41=105. 105 -74=31. Not.
Hmm. Maybe (74 - (41 - (32 /2))). Let's compute 32/2=16. 41-16=25. 74-25=49. Not.
Hmm. Maybe ( (41 + 32) - (74 /2) ). 41+32=73, 74/2=37. 73-37=36. Not.
Hmm. Let me think of all possible groupings. Since there are four numbers, the formula will have three operations. Let me try to list possible groupings:
Option 1: ((a + b) * c) - d
Option 2: (a + (b * c)) - d
Option 3: a + (b * (c - d))
Etc. Maybe trying different groupings.
Let me try ((41 + 32) * 2) -74. As before, that gives 73*2=146, minus74=72. Close to 75 but 3 less. Hmm. If I can adjust that somehow. Wait, but how?
Alternatively, ((41 + 32) * (2)) - (74 - something). But I have to use all numbers. So that's not possible.
Hmm. Alternatively, ((41 * 2) + 32) - (74 - something). Not sure.
Wait, maybe ((74 - 2) * (something)). 74-2=72. 72 * (something). 72*(1.041)=75, but that's not helpful.
Hmm. Let me try another grouping. Let's see:
(74 - (41 - 32)) * 2. Compute inside first: 41-32=9. 74-9=65. 65*2=130. Not.
Hmm. ( (74 - 41) + 32 ) *2. 74-41=33, +32=65. 65*2=130. Same as above.
Hmm. ( (32 + 2) * (74 -41) ). 34 *33=1122. No.
Hmm. Let me think of division. Maybe ( (74 + 2) * (32 /41) ). 76*(0.78)≈60. Not.
Alternatively, ( (41 * 32) / (74 -2) ). 1312/72≈18.22. Not.
Hmm. Maybe ( (41 - (74 / 2)) * 32 ). Let's compute 74/2=37. 41-37=4. 4*32=128. Not.
Hmm. Let me try ( (32 / 2) * (74 -41) ). 16 *33=528. No.
Hmm. Maybe ( (74 / (41 - 32)) ) *2. 41-32=9. 74/9≈8.222*2≈16.44. Not.
Hmm. Let me think of using subtraction in a different way. Like 74 plus (something minus something else). Let's see:
74 + ( (41 - (32 /2)) ). 32/2=16. 41-16=25. 74+25=99. Not.
Hmm. 74 + ( (32 - (41 /2)) ). 41/2=20.5. 32-20.5=11.5. 74+11.5=85.5. Not.
Hmm. Maybe ( (41 * 2) + 32 ) - (74 - something). Wait, but again, need to use all numbers.
Wait, perhaps ( (41 * 2) + (74 -32) ). 41*2=82, 74-32=42. 82+42=124. Not.
Hmm. Let me try ( (74 + 41) - (32 *2) ). 74+41=115, 32*2=64. 115-64=51. Not.
Hmm. ( (32 +41) * (74 / (2 + something)) ). Not sure.
Wait, maybe ( (74 - (41 - 2)) * (32 / something) ). Let me see: 41-2=39, 74-39=35. 32 divided by something. If I divide by 32/ (something), but I need to use all numbers. Hmm.
Alternatively, ( (74 - (41 -2)) ) * (32 / something). Let's see, 35 * (32 / something). The something has to be 2, but then 32/2=16. 35*16=560. Not.
Hmm. Maybe I'm missing something obvious. Let me try all possible combinations step by step.
Let me list all possible pairs and see:
First, take 74 and 2. Let's see:
74 +2 =76. Then need to combine 41 and 32 with this. 76 +41 +32 =149. No. Or 76 * (41-32)=76*9=684. Not.
74 -2=72. Then 72 +41+32=145. Not. 72*(41-32)=72*9=648. No.
74 *2=148. Then 148 +41+32=221. No. 148 - (41+32)=75. Wait a second! Wait, 148 minus (41+32) equals 148-73=75. Exactly! Oh! That's it!
Wait, let me check again. 74 multiplied by 2 is 148. Then subtract (41 +32). 41+32 is 73. 148-73=75. Yes! And all numbers are used exactly once: 74, 2, 41, 32. So the formula would be (74 * 2) - (41 + 32) = 148 -73 =75. That works!
Wait, but let me confirm the operations. The formula is 74 multiplied by 2, then subtract the sum of 41 and 32. So written as (74 * 2) - (41 + 32). Yes, that uses all four numbers once each, and the operations are multiplication, addition, and subtraction. Parentheses are used to group the addition. So that should be the correct formula.
{
"formula": '(74 * 2) - (41 + 32)'
}<|im_end|>
|
[
71,
36,
37,
3
] | 46 |
3970
|
{
"formula": "(71 - 37) + (36 / 3)"
}
| 760 | 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, 36, 37, 3,
target: 46
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 46',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(71 - 37) + (36 / 3)"
}<|im_end|>
|
[
21,
53,
51,
80
] | 19 |
4003
|
{
"formula": '(80 / (53 - 51)) - 21'
}
| 674 | 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: 21, 53, 51, 80,
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": '(80 / (53 - 51)) - 21'
}<|im_end|>
|
[
11,
47,
81,
94
] | 45 |
4016
|
{
"formula": "47 + 11 + 81 - 94 = 45"
}
| 3,071 | 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: 11, 47, 81, 94,
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": "47 + 11 + 81 - 94 = 45"
}<|im_end|>
|
[
33,
23,
43,
67
] | 32 |
4019
|
{
"formula": '(33 + 23) - (67 - 43)'
}
| 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: 33, 23, 43, 67,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(33 + 23) - (67 - 43)'
}<|im_end|>
|
[
37,
2,
70,
58
] | 31 |
4023
|
{
"formula": '37 + ((58 - 70) / 2)',
}
| 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: 37, 2, 70, 58,
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": '37 + ((58 - 70) / 2)',
}<|im_end|>
|
[
89,
91,
81,
3
] | 29 |
4010
|
{
"formula": "(81/3)+(91-89)"
}
| 764 | 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: 89, 91, 81, 3,
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": "(81/3)+(91-89)"
}<|im_end|>
|
[
40,
18,
17,
60
] | 20 |
3968
|
{
"formula": '(60 - 40) * (18 - 17)'
}
| 1,322 | 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: 40, 18, 17, 60,
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": '(60 - 40) * (18 - 17)'
}<|im_end|>
|
[
80,
40,
36,
25
] | 45 |
3939
|
{
"formula": '25 + (80 / (40 - 36))'
}
| 1,462 | 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, 40, 36, 25,
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": '25 + (80 / (40 - 36))'
}<|im_end|>
|
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