numbers
listlengths 4
4
| target
int64 10
100
| id
stringlengths 1
4
| response
stringlengths 29
17.1k
| completion_token
int64 27
15.4k
| prompt_token
int64 120
6.15k
| text
stringlengths 660
17.7k
|
|---|---|---|---|---|---|---|
[
82,
1,
61,
37
] | 15 |
684
|
≈ 3.416. Not helpful.
Wait, maybe (82 - 61) is 21. Then 21 - (37 -1) = 21 -36 = -15. Oh, but that's negative. If I can reverse it, maybe (37 -1) - (82-61) = 36 -21 =15. Wait, that's exactly 15! Let me check:
37 minus 1 is 36. 82 minus 61 is 21. Then 36 minus 21 is 15. So the formula would be (37 - 1) - (82 - 61) = 15.
Let me verify each number is used once: 37, 1, 82, 61. Yes, all four numbers are used exactly once. The operations are subtraction and parentheses. That should work.
Alternatively, maybe there's another way, but this seems valid. Let me make sure the order of operations is correct. The parentheses ensure that the subtractions happen first. So yes, that formula equals 15.
{
"formula": '(37 - 1) - (82 - 61)'
}
| 765 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 82, 1, 61, 37,
target: 15
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 15',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
≈ 3.416. Not helpful.
Wait, maybe (82 - 61) is 21. Then 21 - (37 -1) = 21 -36 = -15. Oh, but that's negative. If I can reverse it, maybe (37 -1) - (82-61) = 36 -21 =15. Wait, that's exactly 15! Let me check:
37 minus 1 is 36. 82 minus 61 is 21. Then 36 minus 21 is 15. So the formula would be (37 - 1) - (82 - 61) = 15.
Let me verify each number is used once: 37, 1, 82, 61. Yes, all four numbers are used exactly once. The operations are subtraction and parentheses. That should work.
Alternatively, maybe there's another way, but this seems valid. Let me make sure the order of operations is correct. The parentheses ensure that the subtractions happen first. So yes, that formula equals 15.
{
"formula": '(37 - 1) - (82 - 61)'
}<|im_end|>
|
[
45,
34,
18,
9
] | 47 |
674
|
{
"formula": '34 + (18 - (45 / 9))'
}
| 1,956 | 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: 45, 34, 18, 9,
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": '34 + (18 - (45 / 9))'
}<|im_end|>
|
[
9,
76,
4,
24
] | 47 |
652
|
{
"formula": '(76 + 4) - (24 + 9)'
}
| 3,229 | 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, 76, 4, 24,
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": '(76 + 4) - (24 + 9)'
}<|im_end|>
|
[
16,
60,
38,
65
] | 71 |
680
|
{
"formula": "(65 + 60) - 16 - 38"
}
| 973 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 16, 60, 38, 65,
target: 71
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 71',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(65 + 60) - 16 - 38"
}<|im_end|>
|
[
40,
1,
86,
34
] | 91 |
693
|
{
"formula": '86 + (40 - (34 + 1))',
}
| 1,088 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 40, 1, 86, 34,
target: 91
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 91',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '86 + (40 - (34 + 1))',
}<|im_end|>
|
[
36,
78,
49,
46
] | 90 |
682
|
{
"formula": '78 + 36/(49 - 46)',
}
| 1,627 | 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: 36, 78, 49, 46,
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": '78 + 36/(49 - 46)',
}<|im_end|>
|
[
8,
99,
74,
6
] | 27 |
641
|
{
"formula": "99 - 74 + 8 - 6"
}
| 4,767 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 8, 99, 74, 6,
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": "99 - 74 + 8 - 6"
}<|im_end|>
|
[
100,
35,
41,
7
] | 100 |
638
|
{
"formula": '100/(35 - (41 - 7))',
}
| 5,273 | 126 |
<|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: 100, 35, 41, 7,
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": '100/(35 - (41 - 7))',
}<|im_end|>
|
[
53,
60,
3,
77
] | 87 |
689
|
{
"formula": '77 + (60 - 53 + 3)'
}
| 583 | 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: 53, 60, 3, 77,
target: 87
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 87',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '77 + (60 - 53 + 3)'
}<|im_end|>
|
[
71,
13,
4,
79
] | 19 |
44
|
{
"formula": '(79 - 71) * 4 - 13'
}
| 2,324 | 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, 13, 4, 79,
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": '(79 - 71) * 4 - 13'
}<|im_end|>
|
[
33,
43,
54,
22
] | 31 |
649
|
{
"formula": '33 - (22 / (54 - 43))',
}
| 4,246 | 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, 43, 54, 22,
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": '33 - (22 / (54 - 43))',
}<|im_end|>
|
[
99,
57,
90,
96
] | 36 |
702
|
{
"formula": '(99 - 57) - (96 - 90)'
}
| 974 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 99, 57, 90, 96,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(99 - 57) - (96 - 90)'
}<|im_end|>
|
[
2,
36,
17,
60
] | 98 |
522
|
{
"formula": '(36 - 17) * 2 + 60'
}
| 5,163 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 36, 17, 60,
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": '(36 - 17) * 2 + 60'
}<|im_end|>
|
[
43,
54,
78,
96
] | 29 |
694
|
{
"formula": "(96 - 78) + (54 - 43)"
}
| 563 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 43, 54, 78, 96,
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": "(96 - 78) + (54 - 43)"
}<|im_end|>
|
[
51,
88,
28,
80
] | 89 |
697
|
{
"formula": '(88 - 51) + (80 - 28)'
}
| 576 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 51, 88, 28, 80,
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": '(88 - 51) + (80 - 28)'
}<|im_end|>
|
[
73,
59,
100,
5
] | 76 |
322
|
{
"formula": '5*(100 - 73) - 59 = 76'
}
| 6,700 | 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, 59, 100, 5,
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": '5*(100 - 73) - 59 = 76'
}<|im_end|>
|
[
44,
43,
92,
86
] | 46 |
624
|
{
"formula": "(92 - 44) - (86 / 43)"
}
| 5,778 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 44, 43, 92, 86,
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": "(92 - 44) - (86 / 43)"
}<|im_end|>
|
[
48,
100,
53,
25
] | 26 |
711
|
{
"formula": '53 - (100 - (48 + 25))',
}
| 1,620 | 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: 48, 100, 53, 25,
target: 26
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 26',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '53 - (100 - (48 + 25))',
}<|im_end|>
|
[
28,
21,
27,
77
] | 55 |
681
|
{
"formula": '77 - 28 + 27 - 21'
}
| 1,952 | 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: 28, 21, 27, 77,
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": '77 - 28 + 27 - 21'
}<|im_end|>
|
[
38,
50,
72,
79
] | 63 |
676
|
{
"formula": '(72 + 79) - (38 + 50)'
}
| 2,804 | 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, 50, 72, 79,
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": '(72 + 79) - (38 + 50)'
}<|im_end|>
|
[
40,
64,
27,
58
] | 19 |
714
|
{
"formula": '(64 + 40) - (58 + 27)'
}
| 1,997 | 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, 64, 27, 58,
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": '(64 + 40) - (58 + 27)'
}<|im_end|>
|
[
32,
71,
30,
64
] | 86 |
416
|
{
"formula": '71 + (30 / (64 / 32))'
}
| 7,060 | 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: 32, 71, 30, 64,
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": '71 + (30 / (64 / 32))'
}<|im_end|>
|
[
12,
36,
50,
18
] | 65 |
701
|
{
"formula": '50 + (18 - (36 / 12))'
}
| 863 | 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: 12, 36, 50, 18,
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": '50 + (18 - (36 / 12))'
}<|im_end|>
|
[
57,
55,
39,
6
] | 79 |
705
|
{
"formula": '57 + (55 - 39 + 6)'
}
| 756 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 57, 55, 39, 6,
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": '57 + (55 - 39 + 6)'
}<|im_end|>
|
[
73,
25,
4,
65
] | 38 |
704
|
{
"formula": '(73 + 65) - (25 * 4)'
}
| 889 | 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: 73, 25, 4, 65,
target: 38
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 38',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(73 + 65) - (25 * 4)'
}<|im_end|>
|
[
90,
2,
4,
99
] | 28 |
683
|
{
"formula": '4*(99 - 90 - 2)'
}
| 2,232 | 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: 90, 2, 4, 99,
target: 28
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 28',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '4*(99 - 90 - 2)'
}<|im_end|>
|
[
52,
34,
50,
87
] | 50 |
661
|
{
"formula": '(87 - 52 - 34) * 50'
}
| 4,266 | 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, 34, 50, 87,
target: 50
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 50',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(87 - 52 - 34) * 50'
}<|im_end|>
|
[
63,
65,
48,
45
] | 62 |
493
|
{
"formula": '65 - (45 / (63 - 48))'
}
| 675 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 63, 65, 48, 45,
target: 62
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 62',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '65 - (45 / (63 - 48))'
}<|im_end|>
|
[
1,
63,
8,
63
] | 55 |
709
|
{
"formula": '63 - ((63 + 1) / 8)'
}
| 3,643 | 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, 63, 8, 63,
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": '63 - ((63 + 1) / 8)'
}<|im_end|>
|
[
63,
75,
84,
42
] | 14 |
690
|
{
"formula": "(75 - 63) + (84 / 42)"
}
| 2,523 | 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: 63, 75, 84, 42,
target: 14
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 14',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(75 - 63) + (84 / 42)"
}<|im_end|>
|
[
66,
77,
8,
95
] | 98 |
696
|
{
"formula": '95 + 77 - 66 - 8',
}
| 1,432 | 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: 66, 77, 8, 95,
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": '95 + 77 - 66 - 8',
}<|im_end|>
|
[
9,
58,
94,
17
] | 13 |
627
|
{
"formula": '17 - ((94 - 58) / 9) = 13'
}
| 8,598 | 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: 9, 58, 94, 17,
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": '17 - ((94 - 58) / 9) = 13'
}<|im_end|>
|
[
7,
4,
19,
96
] | 88 |
606
|
{
"formula": "96 - 19 + 7 + 4"
}
| 3,471 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 7, 4, 19, 96,
target: 88
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 88',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "96 - 19 + 7 + 4"
}<|im_end|>
|
[
24,
44,
41,
78
] | 18 |
551
|
s 17. 78/17 ≈4.588. 44-4.588≈39.41. Not.
Hmm, maybe ( (44 + 41) - 78 ) * something. 44+41=85. 85-78=7. 7* something. 7* (24/ something). Not sure.
Alternatively, 24 divided by (something). Let's see, 24/( (44 - 41)/something ). 44-41=3. So 24/(3/x) = 24x/3 =8x. If x is 2.25, then 8*2.25=18. But how to get 2.25 from 78 and the remaining numbers? Wait, maybe 78 divided by 34.8? Not sure.
Alternatively, maybe (41 - 24) =17. Then 44 -17=27. Then 78 -27=51. Not helpful.
Hmm, perhaps I need to use division in a different way. Let me think of fractions. Let's see:
Suppose I do (78 - 44) =34. Then 34 divided by (something). 34/(something) =18? That would require 34/18 ≈1.88, but how to get that?
Alternatively, (44 - (78 / (41 -24))) as before, but that didn't work.
Wait, maybe ( (44 * 24) / (78 -41) ) ?
Let me compute denominator: 78-41=37. 44*24=1056. 1056 divided by 37 is about 28.54. Not 18.
Hmm, maybe ( (44 + 24) - (78 -41) )? 44+24=68. 78-41=37. 68-37=31. Not.
Alternatively, (78 -44) * (41 -24) =34 *17=578. Way too big.
Hmm, maybe (41 - (78 / (44 -24))) ?
Wait, 44-24=20. 78/20=3.9. 41-3.9=37.1. Not.
Alternatively, ( (44 - 24) * (something) ) divided by something else.
Wait, 44-24=20. 20 * (something). Let's see, 20*(something) divided by something else to get 18. Like 20*(x)/y =18. Maybe 20*(something) =18*y. Not sure.
Alternatively, maybe (78 - (44 +41)) +24? 78-85= -7 +24=17. Close but not 18.
Hmm, maybe (44 - (78 -41)) * (24/something). Let's see, 78-41=37. 44-37=7. 7*(24/x)=18 → 24/x=18/7 → x=24*(7/18)= 9.333. But how to get 9.333 from remaining numbers? Not sure.
Alternatively, maybe ( (44 - 24) * (41 - 78) ) but that would be negative. 20*(-37)= -740. Not helpful.
Hmm, perhaps I need to think of division in a different way. Let me try:
Suppose I do 78 divided by (something) to get a smaller number. Let's see, 78 divided by (44 - (41 -24))? Let's compute denominator: 41-24=17. 44-17=27. 78/27≈2.888. Not helpful.
Alternatively, (44 + 24) divided by (something). 68 divided by (78-41)=37 → 68/37≈1.837. Not.
Hmm, maybe ( (44 * 24) / (78 +41) )? 44*24=1056. 78+41=119. 1056/119≈8.87. Not.
Alternatively, ( (78 -44) * (41 -24) ) / something. 34*17=578. 578 divided by something to get 18? 578/18≈32.11. Not sure.
Hmm, maybe I'm overcomplicating. Let me try another approach. Let's see, 18 is a small number, so maybe subtract two larger numbers and then add or subtract a smaller one. Let's see:
Take 78 and 44. 78-44=34. Then 34 - (41-24)=34-17=17. Close to 18. Hmm, 17 is one less. Not quite.
Alternatively, 78 - (44 + (41-24))? 41-24=17. 44+17=61. 78-61=17 again.
Hmm, maybe (44 - (78 - (41 +24)))? Let's compute inside: 41+24=65. 78-65=13. 44-13=31. Not.
Alternatively, ( (44 + 41) - (78 -24) ) → 85 -54=31. Still no.
Hmm, maybe using division with 24. Let's see, 24 divided by (something). Let's see, 24/( (78 -44)/41 ). Let's compute denominator: 78-44=34. 34/41≈0.829. 24 divided by that is about 28.9. Not helpful.
Alternatively, (44 - (78/(41 -24))) → 41-24=17. 78/17≈4.588. 44-4.588≈39.41. Not.
Hmm, maybe ( (44 - 24) * (something) ) divided by something else. 20*(something). Let's see, 20*( (41 - (78/x)) ). Not sure.
Alternatively, maybe ( (78 -44) / (something) ) + something. 34 divided by, say, 2 is 17, plus 1? But how?
Wait, 34 divided by (something) plus another number. Let me think:
Suppose I do (78 -44)=34. Then 34 divided by (41 -24)=17 gives 2. Then 2 + something? But 2 + 16=18. But where to get 16? Not sure.
Alternatively, ( (78 -44) / (41 -24) ) * something. 34/17=2. 2 *9=18. But how to get 9 from remaining numbers? Wait, the numbers used here are 78,44,41,24. All four numbers are used in that equation. Wait, but in this case, 78-44 uses two numbers, 41-24 uses the other two. So the total would be (34/17)*something, but the something would have to be another number, but all are used. So that approach might not work.
Wait, but if I structure it as ((78 -44)/(41 -24)) * (something else), but there are no numbers left. Hmm.
Wait, maybe ((78 -44) divided by (41 -24)) equals 2, and then multiplied by 9, but I can't get 9. Alternatively, maybe that 2 plus 16, but again, no numbers left.
Hmm, maybe another combination. Let's see:
What if I do (44 - (78 / (41 -24))) ?
Wait, 41-24=17. 78 divided by 17 is approximately 4.588. 44 minus that is about 39.41. Not helpful.
Alternatively, ( (44 * 24) / (78 +41) ) → 1056/119≈8.87. Not.
Hmm, maybe ( (41 * 24) / (78 -44) ) → 41*24=984. 78-44=34. 984/34≈28.94. Not.
Hmm, perhaps ( (78 -41) * (24 /44) ) → 37*(0.545)= ~20.17. Close but not 18.
Alternatively, ( (44 -24) * (something) ) divided by something. 20*(something). Let's see, 20*( (41 - (78/x)) ). Not sure.
Wait, maybe ( (44 + 24) - (78 - (41)) ) → 68 - (37) =31. Not.
Hmm, maybe I need to use division in a different way. Let me think of fractions again. Let's see:
Suppose I do (44 - (78/(41 -24))) → as before, that gives about 39.41. Not.
Alternatively, ( (41 * 24) / (78 -44) ) → 984/34≈28.94. Not.
Hmm, maybe ( (78 - (44 +41)) *24 ) → (78-85)*24= (-7)*24= -168. Not.
Hmm, maybe ( (44 - (41 -24)) ) * (78/something). Let's compute 41-24=17. 44-17=27. 27*(78/x). To get 18, 27*(78/x)=18 → 78/x= 18/27= 2/3 → x=78*(3/2)=117. But I don't have 117.
Hmm, this is tricky. Maybe I need to try another approach. Let me list all possible pairs and see:
Possible pairs:
24 and 44: 24+44=68; 44-24=20; 24*44=1056; 44/24≈1.833
24 and 41: 24+41=65; 41-24=17; 24*41=984; 41/24≈1.708
24 and78: 24+78=102; 78-24=54; 24*78=1872; 78/24=3.25
44 and41: 44+41=85; 44-41=3; 44*41=1804; 44/41≈1.073
44 and78: 44+78=122; 78-44=34; 44*78=3432; 78/44≈1.772
41 and78: 41+78=119; 78-41=37; 41*78=3198; 78/41≈1.902
Hmm, maybe combining two operations first. Let's see:
Take 78-44=34. Then 34 and the remaining numbers 24 and41. How to get 18 from 34,24,41?
Wait, 34 - (41 -24)=34-17=17. Close. Or 34 - (41/ something). 41 divided by 24 is ~1.7, so 34-1.7=32.3. Not.
Alternatively, (34 -24)=10, then 10 + (41/x). Not sure.
Hmm, maybe 34 - (41 - (24/x)). Not helpful.
Alternatively, 34 divided by (something). 34/(something)=18 → something≈1.88. Maybe 34/( (41-24)/something ). Not sure.
Hmm, maybe 41-24=17. Then 34-17=17. Still not.
Alternatively, 34 + (24-41)=34-17=17. Again.
Hmm, maybe (34 * (something)) divided by something else. 34*(24/41)= (34*24)/41≈ 816/41≈19.9. Close to 20. Not 18.
Hmm, maybe ( (34 * 24)/41 ) - something? 19.9 - 1.9=18. But how?
Alternatively, ( (34 * (24 - (41/x))) )? Not sure.
Hmm, maybe trying another initial pair. Let's try 44 and41 first. 44-41=3. Then with 24 and78.
So 3,24,78. How to get 18?
Maybe 78 - (24*3)=78-72=6. Not.
Or 24 - (78/3)=24-26= -2. Not.
Hmm, 78 divided by (24/3)= 78/8=9.75. Not.
Alternatively, (78 -24)/3=54/3=18. Oh! Wait, that's 54 divided by 3 equals 18. Let me check:
If I take 78 minus 24 equals 54. Then divide by (44-41)=3. So (78-24)/(44-41)=54/3=18. Yes! That works.
Wait, let me confirm the numbers used:
78, 24, 44, 41. All four numbers are used exactly once. The operations are subtraction, subtraction, and division. So the formula would be (78 - 24) divided by (44 -41). Let me write that as (78 - 24)/(44 -41). That equals 54/3=18. Perfect!
So the formula is (78 - 24) / (44 - 41) = 18. That should be the answer.
{
"formula": '(78 - 24) / (44 - 41)',
}
| 4,758 | 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, 44, 41, 78,
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
s 17. 78/17 ≈4.588. 44-4.588≈39.41. Not.
Hmm, maybe ( (44 + 41) - 78 ) * something. 44+41=85. 85-78=7. 7* something. 7* (24/ something). Not sure.
Alternatively, 24 divided by (something). Let's see, 24/( (44 - 41)/something ). 44-41=3. So 24/(3/x) = 24x/3 =8x. If x is 2.25, then 8*2.25=18. But how to get 2.25 from 78 and the remaining numbers? Wait, maybe 78 divided by 34.8? Not sure.
Alternatively, maybe (41 - 24) =17. Then 44 -17=27. Then 78 -27=51. Not helpful.
Hmm, perhaps I need to use division in a different way. Let me think of fractions. Let's see:
Suppose I do (78 - 44) =34. Then 34 divided by (something). 34/(something) =18? That would require 34/18 ≈1.88, but how to get that?
Alternatively, (44 - (78 / (41 -24))) as before, but that didn't work.
Wait, maybe ( (44 * 24) / (78 -41) ) ?
Let me compute denominator: 78-41=37. 44*24=1056. 1056 divided by 37 is about 28.54. Not 18.
Hmm, maybe ( (44 + 24) - (78 -41) )? 44+24=68. 78-41=37. 68-37=31. Not.
Alternatively, (78 -44) * (41 -24) =34 *17=578. Way too big.
Hmm, maybe (41 - (78 / (44 -24))) ?
Wait, 44-24=20. 78/20=3.9. 41-3.9=37.1. Not.
Alternatively, ( (44 - 24) * (something) ) divided by something else.
Wait, 44-24=20. 20 * (something). Let's see, 20*(something) divided by something else to get 18. Like 20*(x)/y =18. Maybe 20*(something) =18*y. Not sure.
Alternatively, maybe (78 - (44 +41)) +24? 78-85= -7 +24=17. Close but not 18.
Hmm, maybe (44 - (78 -41)) * (24/something). Let's see, 78-41=37. 44-37=7. 7*(24/x)=18 → 24/x=18/7 → x=24*(7/18)= 9.333. But how to get 9.333 from remaining numbers? Not sure.
Alternatively, maybe ( (44 - 24) * (41 - 78) ) but that would be negative. 20*(-37)= -740. Not helpful.
Hmm, perhaps I need to think of division in a different way. Let me try:
Suppose I do 78 divided by (something) to get a smaller number. Let's see, 78 divided by (44 - (41 -24))? Let's compute denominator: 41-24=17. 44-17=27. 78/27≈2.888. Not helpful.
Alternatively, (44 + 24) divided by (something). 68 divided by (78-41)=37 → 68/37≈1.837. Not.
Hmm, maybe ( (44 * 24) / (78 +41) )? 44*24=1056. 78+41=119. 1056/119≈8.87. Not.
Alternatively, ( (78 -44) * (41 -24) ) / something. 34*17=578. 578 divided by something to get 18? 578/18≈32.11. Not sure.
Hmm, maybe I'm overcomplicating. Let me try another approach. Let's see, 18 is a small number, so maybe subtract two larger numbers and then add or subtract a smaller one. Let's see:
Take 78 and 44. 78-44=34. Then 34 - (41-24)=34-17=17. Close to 18. Hmm, 17 is one less. Not quite.
Alternatively, 78 - (44 + (41-24))? 41-24=17. 44+17=61. 78-61=17 again.
Hmm, maybe (44 - (78 - (41 +24)))? Let's compute inside: 41+24=65. 78-65=13. 44-13=31. Not.
Alternatively, ( (44 + 41) - (78 -24) ) → 85 -54=31. Still no.
Hmm, maybe using division with 24. Let's see, 24 divided by (something). Let's see, 24/( (78 -44)/41 ). Let's compute denominator: 78-44=34. 34/41≈0.829. 24 divided by that is about 28.9. Not helpful.
Alternatively, (44 - (78/(41 -24))) → 41-24=17. 78/17≈4.588. 44-4.588≈39.41. Not.
Hmm, maybe ( (44 - 24) * (something) ) divided by something else. 20*(something). Let's see, 20*( (41 - (78/x)) ). Not sure.
Alternatively, maybe ( (78 -44) / (something) ) + something. 34 divided by, say, 2 is 17, plus 1? But how?
Wait, 34 divided by (something) plus another number. Let me think:
Suppose I do (78 -44)=34. Then 34 divided by (41 -24)=17 gives 2. Then 2 + something? But 2 + 16=18. But where to get 16? Not sure.
Alternatively, ( (78 -44) / (41 -24) ) * something. 34/17=2. 2 *9=18. But how to get 9 from remaining numbers? Wait, the numbers used here are 78,44,41,24. All four numbers are used in that equation. Wait, but in this case, 78-44 uses two numbers, 41-24 uses the other two. So the total would be (34/17)*something, but the something would have to be another number, but all are used. So that approach might not work.
Wait, but if I structure it as ((78 -44)/(41 -24)) * (something else), but there are no numbers left. Hmm.
Wait, maybe ((78 -44) divided by (41 -24)) equals 2, and then multiplied by 9, but I can't get 9. Alternatively, maybe that 2 plus 16, but again, no numbers left.
Hmm, maybe another combination. Let's see:
What if I do (44 - (78 / (41 -24))) ?
Wait, 41-24=17. 78 divided by 17 is approximately 4.588. 44 minus that is about 39.41. Not helpful.
Alternatively, ( (44 * 24) / (78 +41) ) → 1056/119≈8.87. Not.
Hmm, maybe ( (41 * 24) / (78 -44) ) → 41*24=984. 78-44=34. 984/34≈28.94. Not.
Hmm, perhaps ( (78 -41) * (24 /44) ) → 37*(0.545)= ~20.17. Close but not 18.
Alternatively, ( (44 -24) * (something) ) divided by something. 20*(something). Let's see, 20*( (41 - (78/x)) ). Not sure.
Wait, maybe ( (44 + 24) - (78 - (41)) ) → 68 - (37) =31. Not.
Hmm, maybe I need to use division in a different way. Let me think of fractions again. Let's see:
Suppose I do (44 - (78/(41 -24))) → as before, that gives about 39.41. Not.
Alternatively, ( (41 * 24) / (78 -44) ) → 984/34≈28.94. Not.
Hmm, maybe ( (78 - (44 +41)) *24 ) → (78-85)*24= (-7)*24= -168. Not.
Hmm, maybe ( (44 - (41 -24)) ) * (78/something). Let's compute 41-24=17. 44-17=27. 27*(78/x). To get 18, 27*(78/x)=18 → 78/x= 18/27= 2/3 → x=78*(3/2)=117. But I don't have 117.
Hmm, this is tricky. Maybe I need to try another approach. Let me list all possible pairs and see:
Possible pairs:
24 and 44: 24+44=68; 44-24=20; 24*44=1056; 44/24≈1.833
24 and 41: 24+41=65; 41-24=17; 24*41=984; 41/24≈1.708
24 and78: 24+78=102; 78-24=54; 24*78=1872; 78/24=3.25
44 and41: 44+41=85; 44-41=3; 44*41=1804; 44/41≈1.073
44 and78: 44+78=122; 78-44=34; 44*78=3432; 78/44≈1.772
41 and78: 41+78=119; 78-41=37; 41*78=3198; 78/41≈1.902
Hmm, maybe combining two operations first. Let's see:
Take 78-44=34. Then 34 and the remaining numbers 24 and41. How to get 18 from 34,24,41?
Wait, 34 - (41 -24)=34-17=17. Close. Or 34 - (41/ something). 41 divided by 24 is ~1.7, so 34-1.7=32.3. Not.
Alternatively, (34 -24)=10, then 10 + (41/x). Not sure.
Hmm, maybe 34 - (41 - (24/x)). Not helpful.
Alternatively, 34 divided by (something). 34/(something)=18 → something≈1.88. Maybe 34/( (41-24)/something ). Not sure.
Hmm, maybe 41-24=17. Then 34-17=17. Still not.
Alternatively, 34 + (24-41)=34-17=17. Again.
Hmm, maybe (34 * (something)) divided by something else. 34*(24/41)= (34*24)/41≈ 816/41≈19.9. Close to 20. Not 18.
Hmm, maybe ( (34 * 24)/41 ) - something? 19.9 - 1.9=18. But how?
Alternatively, ( (34 * (24 - (41/x))) )? Not sure.
Hmm, maybe trying another initial pair. Let's try 44 and41 first. 44-41=3. Then with 24 and78.
So 3,24,78. How to get 18?
Maybe 78 - (24*3)=78-72=6. Not.
Or 24 - (78/3)=24-26= -2. Not.
Hmm, 78 divided by (24/3)= 78/8=9.75. Not.
Alternatively, (78 -24)/3=54/3=18. Oh! Wait, that's 54 divided by 3 equals 18. Let me check:
If I take 78 minus 24 equals 54. Then divide by (44-41)=3. So (78-24)/(44-41)=54/3=18. Yes! That works.
Wait, let me confirm the numbers used:
78, 24, 44, 41. All four numbers are used exactly once. The operations are subtraction, subtraction, and division. So the formula would be (78 - 24) divided by (44 -41). Let me write that as (78 - 24)/(44 -41). That equals 54/3=18. Perfect!
So the formula is (78 - 24) / (44 - 41) = 18. That should be the answer.
{
"formula": '(78 - 24) / (44 - 41)',
}<|im_end|>
|
[
12,
42,
99,
45
] | 84 |
729
|
{
"formula": '(99 - 45) + (42 - 12)'
}
| 2,481 | 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: 12, 42, 99, 45,
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": '(99 - 45) + (42 - 12)'
}<|im_end|>
|
[
12,
1,
71,
75
] | 52 |
727
|
{
"formula": '(75 - 71) * (12 + 1)'
}
| 852 | 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: 12, 1, 71, 75,
target: 52
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 52',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(75 - 71) * (12 + 1)'
}<|im_end|>
|
[
59,
1,
24,
3
] | 81 |
725
|
{
"formula": '(59 + 24) - (3 - 1)'
}
| 1,073 | 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: 59, 1, 24, 3,
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": '(59 + 24) - (3 - 1)'
}<|im_end|>
|
[
38,
95,
41,
13
] | 70 |
599
|
{
"formula": "(41 - 13) * (95 / 38)"
}
| 6,540 | 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, 95, 41, 13,
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": "(41 - 13) * (95 / 38)"
}<|im_end|>
|
[
33,
36,
10,
54
] | 41 |
700
|
{
"formula": '33 + 54 - 36 - 10',
}
| 1,790 | 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, 36, 10, 54,
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": '33 + 54 - 36 - 10',
}<|im_end|>
|
[
84,
81,
32,
28
] | 68 |
483
|
{
"formula": '(84 - 81) * 32 - 28'
}
| 7,938 | 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: 84, 81, 32, 28,
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 - 81) * 32 - 28'
}<|im_end|>
|
[
29,
29,
58,
41
] | 17 |
721
|
{
"formula": "(58 - 41) / (29 / 29)"
}
| 1,406 | 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: 29, 29, 58, 41,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(58 - 41) / (29 / 29)"
}<|im_end|>
|
[
16,
11,
73,
65
] | 35 |
738
|
{
"formula": "(73 - 65) + (16 + 11)"
}
| 981 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 16, 11, 73, 65,
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": "(73 - 65) + (16 + 11)"
}<|im_end|>
|
[
77,
30,
10,
83
] | 14 |
678
|
{
"formula": '77 + 30 - 83 - 10 = 14'
}
| 3,655 | 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, 30, 10, 83,
target: 14
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 14',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '77 + 30 - 83 - 10 = 14'
}<|im_end|>
|
[
37,
51,
35,
17
] | 34 |
663
|
{
"formula": '(51 + 17)/(37 - 35)'
}
| 5,111 | 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: 37, 51, 35, 17,
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": '(51 + 17)/(37 - 35)'
}<|im_end|>
|
[
4,
96,
43,
64
] | 15 |
716
|
{
"formula": '43 + 4 + 64 - 96'
}
| 2,403 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 96, 43, 64,
target: 15
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 15',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '43 + 4 + 64 - 96'
}<|im_end|>
|
[
81,
90,
3,
100
] | 68 |
720
|
{
"formula": '81 - ((100 - 90) + 3) = 68'
}
| 1,220 | 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, 90, 3, 100,
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": '81 - ((100 - 90) + 3) = 68'
}<|im_end|>
|
[
67,
28,
47,
23
] | 63 |
732
|
{
"formula": '67 - (23 - (47 - 28))'
}
| 757 | 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: 67, 28, 47, 23,
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": '67 - (23 - (47 - 28))'
}<|im_end|>
|
[
73,
9,
8,
3
] | 71 |
734
|
{
"formula": '73 - 3 + (9 - 8)'
}
| 1,119 | 121 |
<|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, 9, 8, 3,
target: 71
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 71',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '73 - 3 + (9 - 8)'
}<|im_end|>
|
[
94,
88,
66,
63
] | 53 |
731
|
{
"formula": "(94 - 66) + (88 - 63)"
}
| 875 | 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: 94, 88, 66, 63,
target: 53
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 53',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(94 - 66) + (88 - 63)"
}<|im_end|>
|
[
22,
46,
8,
42
] | 14 |
722
|
{
"formula": '42 / ((46 - 22) / 8)'
}
| 1,402 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 22, 46, 8, 42,
target: 14
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 14',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '42 / ((46 - 22) / 8)'
}<|im_end|>
|
[
16,
80,
80,
67
] | 83 |
733
|
{
"formula": "80 - (80 - (67 + 16))"
}
| 9,856 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 16, 80, 80, 67,
target: 83
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 83',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "80 - (80 - (67 + 16))"
}<|im_end|>
|
[
1,
56,
79,
3
] | 27 |
753
|
{
"formula": '(79 - 56) + (3 + 1)'
}
| 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: 1, 56, 79, 3,
target: 27
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 27',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(79 - 56) + (3 + 1)'
}<|im_end|>
|
[
17,
5,
2,
53
] | 42 |
698
|
{
"formula": '5*(17 + 2) - 53 = 42'
}
| 4,733 | 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: 17, 5, 2, 53,
target: 42
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 42',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '5*(17 + 2) - 53 = 42'
}<|im_end|>
|
[
14,
50,
40,
49
] | 10 |
717
|
{
"formula": '50/(14-(49-40))'
}
| 1,679 | 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, 50, 40, 49,
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": '50/(14-(49-40))'
}<|im_end|>
|
[
78,
34,
70,
80
] | 53 |
739
|
{
"formula": '70 - (34 / (80 - 78))'
}
| 912 | 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: 78, 34, 70, 80,
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": '70 - (34 / (80 - 78))'
}<|im_end|>
|
[
15,
22,
68,
59
] | 34 |
415
|
{
"formula": '22 * (68 / (59 - 15))'
}
| 8,541 | 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, 22, 68, 59,
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": '22 * (68 / (59 - 15))'
}<|im_end|>
|
[
18,
42,
2,
69
] | 81 |
657
|
{
"formula": '((42 - 18) / 2) + 69'
}
| 6,240 | 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: 18, 42, 2, 69,
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": '((42 - 18) / 2) + 69'
}<|im_end|>
|
[
13,
32,
17,
75
] | 13 |
703
|
{
"formula": "75 - (32 + 17 + 13)"
}
| 2,777 | 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: 13, 32, 17, 75,
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": "75 - (32 + 17 + 13)"
}<|im_end|>
|
[
4,
44,
12,
51
] | 37 |
688
|
{
"formula": '51 - ((44 + 12) / 4) = 37'
}
| 1,154 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 4, 44, 12, 51,
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": '51 - ((44 + 12) / 4) = 37'
}<|im_end|>
|
[
60,
13,
65,
4
] | 69 |
204
|
9 - (60/13) ≈64.38. Not.
Hmm, maybe I need to use division in a way that cancels out the extra numbers. Let's see.
Suppose I do (65 +4) - (60 /13). But that's not an integer. Alternatively, (60 / (something)) to get a number that can be subtracted or added.
Alternatively, maybe (60 * (something)) divided by something else. Let's see.
Wait, let's think of fractions. Let me try (60 / (13 - (65/ something))). Hmm, not sure.
Alternatively, (65 - (60/(13 -4))) as before gives about 58.333. Not helpful.
Hmm, maybe trying to use 60 and 13 first. 60 -13=47. Then 47 plus 65 is 112, minus 4 is 108. Not.
Alternatively, 60 * (something). Let's see, 60*(something) plus or minus others. 60*(something) could be 60*(1.15)=69, but how to get 1.15 from 13,65,4. Not sure.
Alternatively, 60 + (something). Let's see, 69-60=9. So need to get 9 from 13,65,4. 13-4=9. So 13-4=9. Then, how to use 65? Maybe 65 divided by something. 65 divided by (something) equals 1, so that 60 + (13-4) + (65/something). But 65 divided by 65 is 1, but that would require using 65 again. Wait, but 65 is already used in the division. Wait, the numbers can be used exactly once each. So if I do 13-4=9, then 60+9=69, but then 65 is left. So I have to include 65 somehow. So perhaps (60 + (13 -4)) - (65 / something). But 65 divided by something must be zero, which isn't possible. Alternatively, (60 + (13 -4)) + (65 / something). But that would overshoot.
Alternatively, maybe (60 + (13 - (65 / something))). Let's see, 65 divided by something. If I do 65 divided by 5 is 13, but how to get 5 from 4? 4+1? Not sure.
Hmm, maybe (65 - (60 / (13 -4))) + (something). Wait, 60/(13-4)=6.666, so 65-6.666≈58.333. Then adding 13 and 4 gives 58.333+17≈75.333. Not helpful.
Alternatively, (65 - (60/(13-4))) * (something). 58.333 * (something). Not sure.
Hmm, maybe trying to use multiplication with subtraction. Let's see, 13*5=65. So 13*5 - (60 -4). Let's compute: 13*5=65, 60-4=56, so 65-56=9. Not helpful.
Alternatively, (13 +4)*4 + (60 - something). Wait, but that would need to use numbers again.
Hmm, maybe I'm missing something obvious. Let me try all possible permutations.
Wait, let's see: 65 +4 =69. To use all numbers, perhaps (65 +4) - (60 -13). That gives 69 -47=22. Not.
Alternatively, (65 +4) + (60 -13)=69+47=116. Not.
Alternatively, (65 + (60 - (13 +4))). 13+4=17, 60-17=43, 65+43=108. Not.
Hmm, maybe (60 - (65 - (13 *4))). Let's compute: 13*4=52, 65-52=13, 60-13=47. Not.
Alternatively, (65 - (60 - (13 *4))). 13*4=52, 60-52=8, 65-8=57. Not.
Hmm, maybe ( (60 / (13 -4)) ) +65. 60/9≈6.666 +65≈71.666. Not.
Alternatively, (60/(13-4)) + (65 -4). 60/9≈6.666 +61≈67.666. Close but not 69.
Hmm, 67.666 plus something? But I have to use all numbers. Wait, 60/(13-4)=6.666, then 6.666 +65 +4 -60? Let's see: 6.666+65+4=75.666, minus 60 is 15.666. Not.
Hmm, maybe (65 - (60/(13-4))) + (something). Wait, 65-6.666≈58.333, plus 13 and 4 gives 58.333+17≈75.333. Not.
Hmm, perhaps trying to use division in a different way. Let's see, 60 divided by 4 is 15. Then 15 plus 13 is 28. Then 28 plus 65 is 93. Not.
Alternatively, 60 divided by (something else). Let's see, 60 divided by (13 - (65/ something)). Not sure.
Wait, maybe (65 - (60/(13 -4))) + (something). Wait, I'm going in circles here.
Hmm, maybe trying to use multiplication with subtraction. Let's see, 65 * (something) minus something else. 65*1.06 comes to 69, but how?
Alternatively, 65 + (something). Let's see, 69-65=4. So need to get 4 from 60 and 13. 60-56=4, but 56 from 13? 13*4=52, but that uses 4 again. Wait, but 4 is already used in the 65+4 part. Wait, no, in this case, if I do 65 +4, then I can't use 4 again. So that approach won't work.
Hmm, maybe I need to think of a different combination. Let's see, perhaps (60 - (65 - (13 *4))). Let's compute that step by step:
13 *4 =52,
65 -52 =13,
60 -13 =47. Not helpful.
Alternatively, (60 +13) * (something). 73*(something). 73*(0.945)=69, but how?
Hmm, maybe (60 +13) - (65 -4). 73 -61=12. Not.
Hmm, perhaps (65 - (60 - (13 +4))). 13+4=17, 60-17=43, 65-43=22. Not.
Hmm, maybe ( (60 +13) *4 ) / something. 73*4=292. 292 divided by something to get 69. 292/4.23≈69. But how to get 4.23 from 65? Not sure.
Alternatively, 65 divided by (something) to get a fraction. 65 divided by (something) plus others.
Hmm, this is really challenging. Maybe I need to try all possible combinations systematically.
Let me list all possible operations with four numbers. Since order matters, but it's time-consuming. Alternatively, think of possible groupings.
Let me try (60 - (65 - (13 *4))). Wait, that was 47 earlier.
Alternatively, ( (60 / (13 -4)) ) + (65 - something). Let's see, 60/(13-4)=6.666, then 65- something. If I subtract 6.666 from 65, that's 58.333, but not helpful.
Alternatively, (65 - (60/(13-4))) + (13-4). Wait, 13-4=9, so 58.333+9≈67.333. Still not.
Hmm, maybe ( (60 +4) * (13 - (65/something)) ). Not sure.
Alternatively, (65 - (60/(13-4))) + (something). Wait, I'm stuck here.
Wait a second, maybe I made a mistake earlier. Let me try (65 +4) - (60 -13). That gives 69 -47=22. Not. But what if I rearrange the operations?
Wait, perhaps (65 + (4 - (60 -13))). Let's compute: 60-13=47, 4-47= -43, then 65 + (-43)=22. Still no.
Hmm, maybe ( (60 -13) * (something) ) + something else. 60-13=47. 47*1.468≈69, but how?
Alternatively, 47 + (something). 47+22=69. How to get 22 from 65 and4. 65-43=22, but 43 from where?
Hmm, this is frustrating. Maybe I need to try a different approach. Let me think of all possible two-number operations first and see if any can be combined.
Possible two-number operations:
60+13=73, 60+65=125, 60+4=64,
13+65=78, 13+4=17,
65+4=69,
60-13=47, 13-60=-47,
65-60=5, 60-65=-5,
65-13=52, 13-65=-52,
65-4=61, 4-65=-61,
4-13=-9, etc.
Multiplications:
60*13=780, 60*65=3900, 60*4=240,
13*65=845, 13*4=52,
65*4=260,
Divisions:
60/13≈4.615, 60/65≈0.923, 60/4=15,
13/65=0.2, 13/4=3.25,
65/4=16.25, 65/13=5,
4/60≈0.066, etc.
Hmm, looking at these, 65/13=5. That's a clean number. So maybe using that.
So 65 divided by 13 is 5. Then, perhaps 5 can be used with other numbers.
Let me see: 65/13=5. Then, 5 plus 60 is 65. Not helpful. Or 5 multiplied by something.
Wait, 5 * (something) to get close to 69. 5*13.8=69, but how?
Alternatively, 5*(something). Let's see, 5*(something) plus or minus others.
Wait, let's try:
(65 /13) * (60 -4). Let's compute that: 5*(56)=280. Not helpful.
Alternatively, (65/13) + (60 +4). 5+64=69. Oh! Wait, that's it!
Wait, let's see:
65 divided by 13 is 5. Then 5 plus (60 +4) equals 5+64=69. But that uses all numbers: 65,13,60,4. Each exactly once. Yes!
So the formula would be (65 /13) + (60 +4) =5 +64=69.
Yes! That works. Let me verify:
65 divided by 13 is indeed 5. Then 60 plus4 is 64. 5+64=69. And all numbers are used exactly once. Perfect!
So the formula is (65 / 13) + (60 +4) =69.
Alternatively, written as (65/13)+(60+4). Or with parentheses for clarity: (65 ÷ 13) + (60 + 4).
Yes, that's the solution.
{
"formula": '(65 / 13) + (60 + 4)'
}
| 7,371 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 60, 13, 65, 4,
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
9 - (60/13) ≈64.38. Not.
Hmm, maybe I need to use division in a way that cancels out the extra numbers. Let's see.
Suppose I do (65 +4) - (60 /13). But that's not an integer. Alternatively, (60 / (something)) to get a number that can be subtracted or added.
Alternatively, maybe (60 * (something)) divided by something else. Let's see.
Wait, let's think of fractions. Let me try (60 / (13 - (65/ something))). Hmm, not sure.
Alternatively, (65 - (60/(13 -4))) as before gives about 58.333. Not helpful.
Hmm, maybe trying to use 60 and 13 first. 60 -13=47. Then 47 plus 65 is 112, minus 4 is 108. Not.
Alternatively, 60 * (something). Let's see, 60*(something) plus or minus others. 60*(something) could be 60*(1.15)=69, but how to get 1.15 from 13,65,4. Not sure.
Alternatively, 60 + (something). Let's see, 69-60=9. So need to get 9 from 13,65,4. 13-4=9. So 13-4=9. Then, how to use 65? Maybe 65 divided by something. 65 divided by (something) equals 1, so that 60 + (13-4) + (65/something). But 65 divided by 65 is 1, but that would require using 65 again. Wait, but 65 is already used in the division. Wait, the numbers can be used exactly once each. So if I do 13-4=9, then 60+9=69, but then 65 is left. So I have to include 65 somehow. So perhaps (60 + (13 -4)) - (65 / something). But 65 divided by something must be zero, which isn't possible. Alternatively, (60 + (13 -4)) + (65 / something). But that would overshoot.
Alternatively, maybe (60 + (13 - (65 / something))). Let's see, 65 divided by something. If I do 65 divided by 5 is 13, but how to get 5 from 4? 4+1? Not sure.
Hmm, maybe (65 - (60 / (13 -4))) + (something). Wait, 60/(13-4)=6.666, so 65-6.666≈58.333. Then adding 13 and 4 gives 58.333+17≈75.333. Not helpful.
Alternatively, (65 - (60/(13-4))) * (something). 58.333 * (something). Not sure.
Hmm, maybe trying to use multiplication with subtraction. Let's see, 13*5=65. So 13*5 - (60 -4). Let's compute: 13*5=65, 60-4=56, so 65-56=9. Not helpful.
Alternatively, (13 +4)*4 + (60 - something). Wait, but that would need to use numbers again.
Hmm, maybe I'm missing something obvious. Let me try all possible permutations.
Wait, let's see: 65 +4 =69. To use all numbers, perhaps (65 +4) - (60 -13). That gives 69 -47=22. Not.
Alternatively, (65 +4) + (60 -13)=69+47=116. Not.
Alternatively, (65 + (60 - (13 +4))). 13+4=17, 60-17=43, 65+43=108. Not.
Hmm, maybe (60 - (65 - (13 *4))). Let's compute: 13*4=52, 65-52=13, 60-13=47. Not.
Alternatively, (65 - (60 - (13 *4))). 13*4=52, 60-52=8, 65-8=57. Not.
Hmm, maybe ( (60 / (13 -4)) ) +65. 60/9≈6.666 +65≈71.666. Not.
Alternatively, (60/(13-4)) + (65 -4). 60/9≈6.666 +61≈67.666. Close but not 69.
Hmm, 67.666 plus something? But I have to use all numbers. Wait, 60/(13-4)=6.666, then 6.666 +65 +4 -60? Let's see: 6.666+65+4=75.666, minus 60 is 15.666. Not.
Hmm, maybe (65 - (60/(13-4))) + (something). Wait, 65-6.666≈58.333, plus 13 and 4 gives 58.333+17≈75.333. Not.
Hmm, perhaps trying to use division in a different way. Let's see, 60 divided by 4 is 15. Then 15 plus 13 is 28. Then 28 plus 65 is 93. Not.
Alternatively, 60 divided by (something else). Let's see, 60 divided by (13 - (65/ something)). Not sure.
Wait, maybe (65 - (60/(13 -4))) + (something). Wait, I'm going in circles here.
Hmm, maybe trying to use multiplication with subtraction. Let's see, 65 * (something) minus something else. 65*1.06 comes to 69, but how?
Alternatively, 65 + (something). Let's see, 69-65=4. So need to get 4 from 60 and 13. 60-56=4, but 56 from 13? 13*4=52, but that uses 4 again. Wait, but 4 is already used in the 65+4 part. Wait, no, in this case, if I do 65 +4, then I can't use 4 again. So that approach won't work.
Hmm, maybe I need to think of a different combination. Let's see, perhaps (60 - (65 - (13 *4))). Let's compute that step by step:
13 *4 =52,
65 -52 =13,
60 -13 =47. Not helpful.
Alternatively, (60 +13) * (something). 73*(something). 73*(0.945)=69, but how?
Hmm, maybe (60 +13) - (65 -4). 73 -61=12. Not.
Hmm, perhaps (65 - (60 - (13 +4))). 13+4=17, 60-17=43, 65-43=22. Not.
Hmm, maybe ( (60 +13) *4 ) / something. 73*4=292. 292 divided by something to get 69. 292/4.23≈69. But how to get 4.23 from 65? Not sure.
Alternatively, 65 divided by (something) to get a fraction. 65 divided by (something) plus others.
Hmm, this is really challenging. Maybe I need to try all possible combinations systematically.
Let me list all possible operations with four numbers. Since order matters, but it's time-consuming. Alternatively, think of possible groupings.
Let me try (60 - (65 - (13 *4))). Wait, that was 47 earlier.
Alternatively, ( (60 / (13 -4)) ) + (65 - something). Let's see, 60/(13-4)=6.666, then 65- something. If I subtract 6.666 from 65, that's 58.333, but not helpful.
Alternatively, (65 - (60/(13-4))) + (13-4). Wait, 13-4=9, so 58.333+9≈67.333. Still not.
Hmm, maybe ( (60 +4) * (13 - (65/something)) ). Not sure.
Alternatively, (65 - (60/(13-4))) + (something). Wait, I'm stuck here.
Wait a second, maybe I made a mistake earlier. Let me try (65 +4) - (60 -13). That gives 69 -47=22. Not. But what if I rearrange the operations?
Wait, perhaps (65 + (4 - (60 -13))). Let's compute: 60-13=47, 4-47= -43, then 65 + (-43)=22. Still no.
Hmm, maybe ( (60 -13) * (something) ) + something else. 60-13=47. 47*1.468≈69, but how?
Alternatively, 47 + (something). 47+22=69. How to get 22 from 65 and4. 65-43=22, but 43 from where?
Hmm, this is frustrating. Maybe I need to try a different approach. Let me think of all possible two-number operations first and see if any can be combined.
Possible two-number operations:
60+13=73, 60+65=125, 60+4=64,
13+65=78, 13+4=17,
65+4=69,
60-13=47, 13-60=-47,
65-60=5, 60-65=-5,
65-13=52, 13-65=-52,
65-4=61, 4-65=-61,
4-13=-9, etc.
Multiplications:
60*13=780, 60*65=3900, 60*4=240,
13*65=845, 13*4=52,
65*4=260,
Divisions:
60/13≈4.615, 60/65≈0.923, 60/4=15,
13/65=0.2, 13/4=3.25,
65/4=16.25, 65/13=5,
4/60≈0.066, etc.
Hmm, looking at these, 65/13=5. That's a clean number. So maybe using that.
So 65 divided by 13 is 5. Then, perhaps 5 can be used with other numbers.
Let me see: 65/13=5. Then, 5 plus 60 is 65. Not helpful. Or 5 multiplied by something.
Wait, 5 * (something) to get close to 69. 5*13.8=69, but how?
Alternatively, 5*(something). Let's see, 5*(something) plus or minus others.
Wait, let's try:
(65 /13) * (60 -4). Let's compute that: 5*(56)=280. Not helpful.
Alternatively, (65/13) + (60 +4). 5+64=69. Oh! Wait, that's it!
Wait, let's see:
65 divided by 13 is 5. Then 5 plus (60 +4) equals 5+64=69. But that uses all numbers: 65,13,60,4. Each exactly once. Yes!
So the formula would be (65 /13) + (60 +4) =5 +64=69.
Yes! That works. Let me verify:
65 divided by 13 is indeed 5. Then 60 plus4 is 64. 5+64=69. And all numbers are used exactly once. Perfect!
So the formula is (65 / 13) + (60 +4) =69.
Alternatively, written as (65/13)+(60+4). Or with parentheses for clarity: (65 ÷ 13) + (60 + 4).
Yes, that's the solution.
{
"formula": '(65 / 13) + (60 + 4)'
}<|im_end|>
|
[
90,
31,
10,
77
] | 54 |
740
|
{
"formula": '90 - (77 - (31 + 10))'
}
| 1,414 | 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, 31, 10, 77,
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": '90 - (77 - (31 + 10))'
}<|im_end|>
|
[
78,
5,
19,
70
] | 22 |
755
|
{
"formula": '78 - 70 + 19 - 5'
}
| 1,590 | 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: 78, 5, 19, 70,
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": '78 - 70 + 19 - 5'
}<|im_end|>
|
[
85,
20,
46,
87
] | 64 |
756
|
{
"formula": '85 - (87 - (46 + 20))'
}
| 720 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 85, 20, 46, 87,
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": '85 - (87 - (46 + 20))'
}<|im_end|>
|
[
95,
5,
15,
95
] | 74 |
765
|
{
"formula": '(15 * 5) - (95 / 95)',
}
| 869 | 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: 95, 5, 15, 95,
target: 74
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 74',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(15 * 5) - (95 / 95)',
}<|im_end|>
|
[
80,
93,
95,
37
] | 77 |
766
|
{
"formula": '(80/(95-93)) + 37'
}
| 1,692 | 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, 93, 95, 37,
target: 77
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 77',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(80/(95-93)) + 37'
}<|im_end|>
|
[
47,
30,
2,
71
] | 37 |
735
|
{
"formula": '71 - ((47 - 30) * 2) = 37'
}
| 1,732 | 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, 30, 2, 71,
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": '71 - ((47 - 30) * 2) = 37'
}<|im_end|>
|
[
34,
32,
51,
17
] | 61 |
640
|
{
"formula": '(34*32-51)/17'
}
| 8,653 | 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: 34, 32, 51, 17,
target: 61
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 61',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(34*32-51)/17'
}<|im_end|>
|
[
92,
79,
86,
3
] | 88 |
675
|
{
"formula": "79 + 3 + (92 - 86) = 88"
}
| 5,891 | 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: 92, 79, 86, 3,
target: 88
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 88',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "79 + 3 + (92 - 86) = 88"
}<|im_end|>
|
[
94,
85,
96,
50
] | 55 |
723
|
{
"formula": '96 - 85 + 94 - 50'
}
| 2,565 | 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: 94, 85, 96, 50,
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": '96 - 85 + 94 - 50'
}<|im_end|>
|
[
57,
33,
40,
61
] | 69 |
759
|
{
"formula": '(40 + 33) - (61 - 57)'
}
| 827 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 57, 33, 40, 61,
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": '(40 + 33) - (61 - 57)'
}<|im_end|>
|
[
57,
79,
100,
5
] | 41 |
773
|
{
"formula": '57 - (100 - (79 + 5))'
}
| 799 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 57, 79, 100, 5,
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": '57 - (100 - (79 + 5))'
}<|im_end|>
|
[
18,
5,
2,
10
] | 52 |
777
|
{
"formula": '(10*(5+2))-18'
}
| 777 | 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: 18, 5, 2, 10,
target: 52
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 52',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(10*(5+2))-18'
}<|im_end|>
|
[
94,
17,
79,
44
] | 46 |
736
|
{
"formula": '44 + (79 - (94 - 17))'
}
| 2,161 | 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: 94, 17, 79, 44,
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": '44 + (79 - (94 - 17))'
}<|im_end|>
|
[
25,
99,
64,
9
] | 90 |
750
|
{
"formula": "(99 - (64 + 25)) * 9"
}
| 1,581 | 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: 25, 99, 64, 9,
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": "(99 - (64 + 25)) * 9"
}<|im_end|>
|
[
3,
57,
53,
48
] | 59 |
718
|
{
"formula": '57 + 53 - 48 - 3'
}
| 3,142 | 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: 3, 57, 53, 48,
target: 59
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 59',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '57 + 53 - 48 - 3'
}<|im_end|>
|
[
59,
35,
7,
35
] | 99 |
774
|
{
"formula": '59 + 35 + (35 / 7)'
}
| 831 | 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: 59, 35, 7, 35,
target: 99
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 99',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '59 + 35 + (35 / 7)'
}<|im_end|>
|
[
54,
52,
48,
30
] | 20 |
781
|
{
"formula": '(54 - 30) - (52 - 48)'
}
| 434 | 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, 52, 48, 30,
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": '(54 - 30) - (52 - 48)'
}<|im_end|>
|
[
98,
54,
26,
17
] | 87 |
757
|
{
"formula": '98 - 54 + 26 + 17',
}
| 2,795 | 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: 98, 54, 26, 17,
target: 87
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 87',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '98 - 54 + 26 + 17',
}<|im_end|>
|
[
31,
36,
17,
2
] | 64 |
744
|
{
"formula": "(31 - 17) * 2 + 36"
}
| 2,317 | 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: 31, 36, 17, 2,
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": "(31 - 17) * 2 + 36"
}<|im_end|>
|
[
67,
36,
13,
4
] | 40 |
746
|
{
"formula": '(67 + 13) - (36 + 4)'
}
| 2,330 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 67, 36, 13, 4,
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": '(67 + 13) - (36 + 4)'
}<|im_end|>
|
[
55,
98,
98,
81
] | 81 |
770
|
{
"formula": '81 + (98 - 98) * 55'
}
| 2,343 | 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, 98, 98, 81,
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": '81 + (98 - 98) * 55'
}<|im_end|>
|
[
74,
88,
35,
26
] | 47 |
737
|
{
"formula": '(74 + 35) - (88 - 26)'
}
| 2,794 | 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, 88, 35, 26,
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": '(74 + 35) - (88 - 26)'
}<|im_end|>
|
[
61,
58,
22,
15
] | 17 |
741
|
{
"formula": '22 - (15 / (61 - 58))',
}
| 2,729 | 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: 61, 58, 22, 15,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '22 - (15 / (61 - 58))',
}<|im_end|>
|
[
27,
13,
47,
98
] | 54 |
762
|
{
"formula": '(98/(27-13)) +47'
}
| 1,749 | 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, 13, 47, 98,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(98/(27-13)) +47'
}<|im_end|>
|
[
60,
58,
53,
13
] | 33 |
728
|
{
"formula": '(60 - 53) * 13 - 58 = 33'
}
| 3,700 | 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, 58, 53, 13,
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": '(60 - 53) * 13 - 58 = 33'
}<|im_end|>
|
[
54,
5,
50,
18
] | 92 |
775
|
{
"formula": '(54 - 50) * (18 + 5)'
}
| 1,203 | 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: 54, 5, 50, 18,
target: 92
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 92',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(54 - 50) * (18 + 5)'
}<|im_end|>
|
[
5,
76,
64,
54
] | 38 |
771
|
{
"formula": '76 / ((64 - 54) / 5)'
}
| 1,433 | 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, 76, 64, 54,
target: 38
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 38',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '76 / ((64 - 54) / 5)'
}<|im_end|>
|
[
21,
13,
60,
2
] | 92 |
786
|
{
"formula": '60 + 21 + (13 - 2)'
}
| 943 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 21, 13, 60, 2,
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": '60 + 21 + (13 - 2)'
}<|im_end|>
|
[
90,
17,
76,
87
] | 90 |
730
|
{
"formula": '(76 + 87 + 17) - 90',
}
| 1,374 | 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, 17, 76, 87,
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": '(76 + 87 + 17) - 90',
}<|im_end|>
|
[
68,
62,
25,
18
] | 28 |
779
|
{
"formula": '(18/(68-62)) +25'
}
| 2,259 | 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, 62, 25, 18,
target: 28
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 28',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(18/(68-62)) +25'
}<|im_end|>
|
[
58,
97,
46,
4
] | 81 |
785
|
{
"formula": '97 - (58 - (46 - 4))'
}
| 765 | 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: 58, 97, 46, 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": '97 - (58 - (46 - 4))'
}<|im_end|>
|
[
78,
38,
34,
1
] | 82 |
706
|
{
"formula": '(38 + (78 - 34)) * 1'
}
| 4,963 | 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: 78, 38, 34, 1,
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": '(38 + (78 - 34)) * 1'
}<|im_end|>
|
[
8,
17,
36,
36
] | 10 |
792
|
{
"formula": '(17 - 8) + (36 / 36)'
}
| 6,809 | 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, 17, 36, 36,
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": '(17 - 8) + (36 / 36)'
}<|im_end|>
|
[
47,
67,
84,
6
] | 34 |
743
|
{
"formula": '67 - 47 + 84 / 6'
}
| 3,300 | 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, 67, 84, 6,
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": '67 - 47 + 84 / 6'
}<|im_end|>
|
[
54,
45,
81,
53
] | 12 |
802
|
{
"formula": '81/(54/(53-45))',
}
| 2,323 | 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, 45, 81, 53,
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": '81/(54/(53-45))',
}<|im_end|>
|
[
94,
80,
18,
38
] | 90 |
799
|
{
"formula": '94 - (80 / (38 - 18))',
}
| 915 | 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: 94, 80, 18, 38,
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": '94 - (80 / (38 - 18))',
}<|im_end|>
|
[
15,
73,
72,
54
] | 68 |
804
|
{
"formula": "54 + (15 - (73 - 72))",
}
| 794 | 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, 73, 72, 54,
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": "54 + (15 - (73 - 72))",
}<|im_end|>
|
[
3,
57,
71,
83
] | 17 |
764
|
{
"formula": '(57 * 3) - (83 + 71)'
}
| 2,431 | 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, 57, 71, 83,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(57 * 3) - (83 + 71)'
}<|im_end|>
|
[
2,
36,
36,
81
] | 14 |
687
|
{
"formula": '(36/(81/36)) - 2'
}
| 4,739 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 2, 36, 36, 81,
target: 14
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 14',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(36/(81/36)) - 2'
}<|im_end|>
|
[
27,
54,
76,
94
] | 36 |
747
|
{
"formula": '(94 - 76) * (54 / 27)'
}
| 3,497 | 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, 54, 76, 94,
target: 36
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 36',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(94 - 76) * (54 / 27)'
}<|im_end|>
|
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