numbers
listlengths 4
4
| target
int64 10
100
| id
stringlengths 1
4
| response
stringlengths 28
21.7k
| completion_token
int64 9
27.4k
| prompt_token
int64 120
16.4k
| text
stringlengths 658
22.3k
|
|---|---|---|---|---|---|---|
[
62,
72,
90,
63
] | 32 |
1031
|
{
"formula": '72/(63/(90-62))'
}
| 5,641 | 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: 62, 72, 90, 63,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '72/(63/(90-62))'
}<|im_end|>
|
[
45,
17,
23,
56
] | 46 |
1072
|
{
"formula": '23 * (56 / (45 - 17))'
}
| 4,678 | 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: 45, 17, 23, 56,
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": '23 * (56 / (45 - 17))'
}<|im_end|>
|
[
11,
17,
84,
85
] | 100 |
982
|
{
"formula": '(85 / 17) + 11 + 84'
}
| 3,487 | 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: 11, 17, 84, 85,
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": '(85 / 17) + 11 + 84'
}<|im_end|>
|
[
89,
18,
2,
72
] | 91 |
1015
|
{
"formula": '(72 + 18) * 2 - 89 = 91'
}
| 3,616 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 89, 18, 2, 72,
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": '(72 + 18) * 2 - 89 = 91'
}<|im_end|>
|
[
74,
70,
90,
33
] | 88 |
1008
|
{
"formula": '90 - (74 / (70 - 33))',
}
| 3,943 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 74, 70, 90, 33,
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": '90 - (74 / (70 - 33))',
}<|im_end|>
|
[
17,
68,
84,
45
] | 45 |
948
|
{
"formula": '((68 + 17 - 84) * 45)'
}
| 4,374 | 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: 17, 68, 84, 45,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((68 + 17 - 84) * 45)'
}<|im_end|>
|
[
74,
27,
40,
8
] | 61 |
963
|
{
"formula": '(27 * (40 / 8)) - 74'
}
| 4,443 | 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: 74, 27, 40, 8,
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": '(27 * (40 / 8)) - 74'
}<|im_end|>
|
[
41,
69,
10,
7
] | 64 |
1078
|
{
"formula": '41 + (69 / (10 - 7))'
}
| 802 | 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: 41, 69, 10, 7,
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": '41 + (69 / (10 - 7))'
}<|im_end|>
|
[
49,
20,
77,
32
] | 24 |
1080
|
{
"formula": '49 - (77 - (32 + 20))'
}
| 1,728 | 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: 49, 20, 77, 32,
target: 24
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 24',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '49 - (77 - (32 + 20))'
}<|im_end|>
|
[
20,
3,
73,
85
] | 11 |
1083
|
{
"formula": '73 - (85 - 20 - 3) = 11'
}
| 875 | 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: 20, 3, 73, 85,
target: 11
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 11',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '73 - (85 - 20 - 3) = 11'
}<|im_end|>
|
[
40,
70,
78,
13
] | 64 |
1079
|
{
"formula": '( (78 - 70) * 13 ) - 40'
}
| 2,301 | 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, 70, 78, 13,
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": '( (78 - 70) * 13 ) - 40'
}<|im_end|>
|
[
14,
82,
13,
25
] | 57 |
1059
|
e 57*(1.07) ≈61, not integer.
Option3: (25 +13) * (something). 38 * (something). 38*1.5=57. But how to get 1.5 from 82 and14? 14/(something). 14/(something)=1.5 → something=14/1.5≈9.33. Not helpful.
Option4: 14* (something) + something. Let's see, 14*4 +1=57. To get 4 and1 from remaining numbers. 25-13=12, 12/3=4, but where to get 3? Not sure.
Alternatively, 14*( (25 -13)/something ). 25-13=12. 12 divided by 3 is4. So 14*(12/3)=56. Then plus1? But where to get the 3?
Hmm, maybe (25 - (14/ something)) * something. Not sure.
Wait, perhaps (82 - (25 +13)) * (14/something). Let's see, 25+13=38, 82-38=44. 44*(14/something). Not sure.
Alternatively, (25 * (something)) - (something). Let's see, 25*3=75, 75-18=57. How to get 3 and18 from 82,14,13. 14+13=27, 82-27=55. Not helpful.
Hmm, maybe (13 *4) +5=57. 13*4=52, plus5. 5 could be 25/5, but again, not sure.
Alternatively, (82 - (14 +13)) * (25/something). 82-27=55. 55*(25/something). Not helpful.
Wait, maybe (25 -13)=12, then 12* something. 12*4.75=57. But that's decimal.
Alternatively, (82/ (something)) + something. Let's see, 82 divided by 2 is41, plus16=57. 16 could be 14+2, but where to get 2?
Hmm, maybe (25 - (14/ something)) * (something).
Alternatively, let's try to use fractions. Maybe (82 - (25 +14 +13)) is negative, so not helpful.
Wait, perhaps (25 * 2) + (14 -13) =50+1=51. Not enough.
Hmm, maybe (14 +25)=39, then 82 -39=43, plus13=56. Still 56.
Wait, what if I do (82 - (25 - (14 -13))) =82 - (25 -1)=82-24=58. Close.
Alternatively, (82 - (25 -14)) -13 =82-11-13=58 again.
Hmm, maybe I need to use division. Let's see:
Suppose I do 82 - (25 + (14/13)). That would be 82 -25 -1.07≈55.93. Not integer.
Alternatively, (25 * (14/(something))) + something.
Hmm, maybe ( (82 -13) / (something) ) * something.
Wait, 82-13=69. 69 divided by 3 is23, but not helpful.
Alternatively, (25 * 2) + (14 -13) =50+1=51.
Hmm, maybe (14 * (25 -13)) / something. 25-13=12, 14*12=168. 168 divided by 3 is56. But where to get the 3?
Alternatively, 168 divided by (something). 168/3=56.
Hmm, maybe ( (14*(25-13)) /3 ) but that requires a 3 which isn't present.
Alternatively, ( (82 - (25 -13)) ) -14 = (82-12) -14=70-14=56.
Hmm, I'm going in circles here. Maybe I need to think of a different combination. Let's see:
What if I do 25 +13 +14 +82? That's way over.
Alternatively, 82 - (25 +13 +14)=82-52=30.
Hmm.
Wait, maybe (25 * 2) + (14 -13) =50+1=51.
Alternatively, (25 * (something)) minus something. Let's see, 25*3=75. 75-18=57. 18 can be 82-64, but not sure.
Alternatively, 25*(something) minus (something).
Wait, maybe (82 - (14 +13)) * (25/ something). 82-27=55. 55*(25/x). Not helpful.
Hmm, perhaps I need to use division in a clever way. Let's see:
Suppose I do (82 - (25 +14)) * (13/something). 82-39=43. 43*(13/x). Not sure.
Alternatively, (25 - (14/ something)) * (something).
Wait, maybe ( (82 -25) - (14 -13) ) =57 -1=56.
Hmm.
Alternatively, ( (25 * 2) + (14 -13) ) =51.
Hmm, maybe I'm missing something obvious. Let me try to think of all possible combinations again.
Wait, what if I do 14 * (something) plus something. Let's see, 14*4=56, plus1=57. To get 4 and1 from 25,82,13.
How to get 4: 25-21=4, but 21 is 14+7. Not helpful.
Alternatively, (25 -13)=12, then 12 divided by 3=4. But where to get 3?
Alternatively, (82 divided by something) gives me a number. 82 divided by 14 is about 5.85.
Hmm.
Wait, maybe ( (82 -13) - (25) ) * something. 82-13=69, 69-25=44. 44*1.3≈57. Not integer.
Alternatively, (25 +13)=38, then 38 + (82 -14)=38+68=106. No.
Hmm, maybe ( (25 * 2) + (14 -13) ) =51.
Wait, perhaps ( (82 - (25 -13)) ) -14 = (82-12) -14=70-14=56.
Hmm.
Wait a second, maybe I need to use division. Let me try:
Suppose I do (82 - (25 +14)) * (13/ something). 82-39=43. 43*(13/x). Not helpful.
Alternatively, (25 * (14/(something))) + something.
Hmm, maybe ( (25 * 2) + (14 -13) ) =51.
Wait, maybe ( (25 - (14/ something)) * something ).
Alternatively, ( (82 / (something)) + something ).
Hmm, perhaps ( (25 * 2) + (14 -13) ) =51.
Wait, maybe I need to use subtraction and division. Let's see:
How about (82 - (25 + (14/13)))? That would be 82 -25 -1.07≈55.93. Not integer.
Alternatively, ( (25 * (14 -13)) ) + something. 25*1=25, plus 82-25=57? Wait, 25 + (82-25)=82. No.
Wait, 25*(14-13)=25*1=25. Then 25 + (82 - something). 82-57=25. So 25 + (82 -57)=25+25=50. Not helpful.
Hmm, maybe ( (82 -25) - (14 -13) ) =57-1=56.
Hmm.
Wait, maybe ( (25 * 2) + (14 -13) ) =51.
Hmm, I'm really stuck here. Let me try to think of all possible permutations of the numbers with operations.
Let me try to see if there's a way to combine three numbers first.
Suppose I take 25,13, and14. Let's see:
25 +13 +14=52. Then 82-52=30. Not helpful.
Alternatively, 25*13=325, which is way over.
Hmm, 25*(14-13)=25*1=25. Then 82-25=57. Oh! Wait, that's it!
Wait, let me check:
25 multiplied by (14 minus13) is 25*(1)=25. Then 82 minus that 25 equals 57.
Wait, but that uses all four numbers: 25,14,13, and82.
Yes! Let me write that out:
82 - (25 * (14 -13))
Breaking it down:
14 -13 =1
25 *1 =25
82 -25 =57
Yes! That uses all four numbers exactly once.
So the formula would be 82 - 25*(14-13) =57.
Let me check again:
14-13 is 1. Multiply by25 gives25. Subtract that from82 gives57.
Yes, that works.
So the formula is 82 -25*(14-13).
Alternatively, with parentheses: 82 - (25*(14 -13))
Either way, that should be correct.
{
"formula": '82 - 25*(14 - 13)'
}
| 5,463 | 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, 82, 13, 25,
target: 57
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 57',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
e 57*(1.07) ≈61, not integer.
Option3: (25 +13) * (something). 38 * (something). 38*1.5=57. But how to get 1.5 from 82 and14? 14/(something). 14/(something)=1.5 → something=14/1.5≈9.33. Not helpful.
Option4: 14* (something) + something. Let's see, 14*4 +1=57. To get 4 and1 from remaining numbers. 25-13=12, 12/3=4, but where to get 3? Not sure.
Alternatively, 14*( (25 -13)/something ). 25-13=12. 12 divided by 3 is4. So 14*(12/3)=56. Then plus1? But where to get the 3?
Hmm, maybe (25 - (14/ something)) * something. Not sure.
Wait, perhaps (82 - (25 +13)) * (14/something). Let's see, 25+13=38, 82-38=44. 44*(14/something). Not sure.
Alternatively, (25 * (something)) - (something). Let's see, 25*3=75, 75-18=57. How to get 3 and18 from 82,14,13. 14+13=27, 82-27=55. Not helpful.
Hmm, maybe (13 *4) +5=57. 13*4=52, plus5. 5 could be 25/5, but again, not sure.
Alternatively, (82 - (14 +13)) * (25/something). 82-27=55. 55*(25/something). Not helpful.
Wait, maybe (25 -13)=12, then 12* something. 12*4.75=57. But that's decimal.
Alternatively, (82/ (something)) + something. Let's see, 82 divided by 2 is41, plus16=57. 16 could be 14+2, but where to get 2?
Hmm, maybe (25 - (14/ something)) * (something).
Alternatively, let's try to use fractions. Maybe (82 - (25 +14 +13)) is negative, so not helpful.
Wait, perhaps (25 * 2) + (14 -13) =50+1=51. Not enough.
Hmm, maybe (14 +25)=39, then 82 -39=43, plus13=56. Still 56.
Wait, what if I do (82 - (25 - (14 -13))) =82 - (25 -1)=82-24=58. Close.
Alternatively, (82 - (25 -14)) -13 =82-11-13=58 again.
Hmm, maybe I need to use division. Let's see:
Suppose I do 82 - (25 + (14/13)). That would be 82 -25 -1.07≈55.93. Not integer.
Alternatively, (25 * (14/(something))) + something.
Hmm, maybe ( (82 -13) / (something) ) * something.
Wait, 82-13=69. 69 divided by 3 is23, but not helpful.
Alternatively, (25 * 2) + (14 -13) =50+1=51.
Hmm, maybe (14 * (25 -13)) / something. 25-13=12, 14*12=168. 168 divided by 3 is56. But where to get the 3?
Alternatively, 168 divided by (something). 168/3=56.
Hmm, maybe ( (14*(25-13)) /3 ) but that requires a 3 which isn't present.
Alternatively, ( (82 - (25 -13)) ) -14 = (82-12) -14=70-14=56.
Hmm, I'm going in circles here. Maybe I need to think of a different combination. Let's see:
What if I do 25 +13 +14 +82? That's way over.
Alternatively, 82 - (25 +13 +14)=82-52=30.
Hmm.
Wait, maybe (25 * 2) + (14 -13) =50+1=51.
Alternatively, (25 * (something)) minus something. Let's see, 25*3=75. 75-18=57. 18 can be 82-64, but not sure.
Alternatively, 25*(something) minus (something).
Wait, maybe (82 - (14 +13)) * (25/ something). 82-27=55. 55*(25/x). Not helpful.
Hmm, perhaps I need to use division in a clever way. Let's see:
Suppose I do (82 - (25 +14)) * (13/something). 82-39=43. 43*(13/x). Not sure.
Alternatively, (25 - (14/ something)) * (something).
Wait, maybe ( (82 -25) - (14 -13) ) =57 -1=56.
Hmm.
Alternatively, ( (25 * 2) + (14 -13) ) =51.
Hmm, maybe I'm missing something obvious. Let me try to think of all possible combinations again.
Wait, what if I do 14 * (something) plus something. Let's see, 14*4=56, plus1=57. To get 4 and1 from 25,82,13.
How to get 4: 25-21=4, but 21 is 14+7. Not helpful.
Alternatively, (25 -13)=12, then 12 divided by 3=4. But where to get 3?
Alternatively, (82 divided by something) gives me a number. 82 divided by 14 is about 5.85.
Hmm.
Wait, maybe ( (82 -13) - (25) ) * something. 82-13=69, 69-25=44. 44*1.3≈57. Not integer.
Alternatively, (25 +13)=38, then 38 + (82 -14)=38+68=106. No.
Hmm, maybe ( (25 * 2) + (14 -13) ) =51.
Wait, perhaps ( (82 - (25 -13)) ) -14 = (82-12) -14=70-14=56.
Hmm.
Wait a second, maybe I need to use division. Let me try:
Suppose I do (82 - (25 +14)) * (13/ something). 82-39=43. 43*(13/x). Not helpful.
Alternatively, (25 * (14/(something))) + something.
Hmm, maybe ( (25 * 2) + (14 -13) ) =51.
Wait, maybe ( (25 - (14/ something)) * something ).
Alternatively, ( (82 / (something)) + something ).
Hmm, perhaps ( (25 * 2) + (14 -13) ) =51.
Wait, maybe I need to use subtraction and division. Let's see:
How about (82 - (25 + (14/13)))? That would be 82 -25 -1.07≈55.93. Not integer.
Alternatively, ( (25 * (14 -13)) ) + something. 25*1=25, plus 82-25=57? Wait, 25 + (82-25)=82. No.
Wait, 25*(14-13)=25*1=25. Then 25 + (82 - something). 82-57=25. So 25 + (82 -57)=25+25=50. Not helpful.
Hmm, maybe ( (82 -25) - (14 -13) ) =57-1=56.
Hmm.
Wait, maybe ( (25 * 2) + (14 -13) ) =51.
Hmm, I'm really stuck here. Let me try to think of all possible permutations of the numbers with operations.
Let me try to see if there's a way to combine three numbers first.
Suppose I take 25,13, and14. Let's see:
25 +13 +14=52. Then 82-52=30. Not helpful.
Alternatively, 25*13=325, which is way over.
Hmm, 25*(14-13)=25*1=25. Then 82-25=57. Oh! Wait, that's it!
Wait, let me check:
25 multiplied by (14 minus13) is 25*(1)=25. Then 82 minus that 25 equals 57.
Wait, but that uses all four numbers: 25,14,13, and82.
Yes! Let me write that out:
82 - (25 * (14 -13))
Breaking it down:
14 -13 =1
25 *1 =25
82 -25 =57
Yes! That uses all four numbers exactly once.
So the formula would be 82 - 25*(14-13) =57.
Let me check again:
14-13 is 1. Multiply by25 gives25. Subtract that from82 gives57.
Yes, that works.
So the formula is 82 -25*(14-13).
Alternatively, with parentheses: 82 - (25*(14 -13))
Either way, that should be correct.
{
"formula": '82 - 25*(14 - 13)'
}<|im_end|>
|
[
76,
16,
12,
90
] | 71 |
1070
|
{
"formula": '90 - (76 / (16 - 12))'
}
| 3,365 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 76, 16, 12, 90,
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": '90 - (76 / (16 - 12))'
}<|im_end|>
|
[
3,
37,
71,
80
] | 10 |
990
|
{
"formula": '37 - (3 * (80 - 71)) = 10'
}
| 5,009 | 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, 37, 71, 80,
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": '37 - (3 * (80 - 71)) = 10'
}<|im_end|>
|
[
18,
39,
80,
46
] | 90 |
1027
|
{
"formula": '18*(39 + 46 - 80)'
}
| 3,761 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 18, 39, 80, 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": '18*(39 + 46 - 80)'
}<|im_end|>
|
[
33,
29,
63,
53
] | 52 |
1060
|
{
"formula": "(29 + 33) - (63 - 53)"
}
| 844 | 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, 29, 63, 53,
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": "(29 + 33) - (63 - 53)"
}<|im_end|>
|
[
37,
74,
95,
43
] | 15 |
1092
|
{
"formula": '(95 - 74) - (43 - 37)'
}
| 1,097 | 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, 74, 95, 43,
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": '(95 - 74) - (43 - 37)'
}<|im_end|>
|
[
7,
9,
32,
24
] | 84 |
997
|
{
"formula": '(7 * 32) / (24 / 9)'
}
| 5,955 | 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, 9, 32, 24,
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": '(7 * 32) / (24 / 9)'
}<|im_end|>
|
[
1,
5,
96,
32
] | 70 |
1076
|
{
"formula": '96 - 32 + 5 + 1',
}
| 2,585 | 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, 5, 96, 32,
target: 70
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 70',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '96 - 32 + 5 + 1',
}<|im_end|>
|
[
32,
5,
75,
20
] | 15 |
1097
|
{
"formula": '75 - 5*(32 - 20)',
}
| 1,607 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 32, 5, 75, 20,
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": '75 - 5*(32 - 20)',
}<|im_end|>
|
[
62,
66,
40,
73
] | 64 |
1087
|
{
"formula": '62 + (66 / (73 - 40))'
}
| 2,917 | 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: 62, 66, 40, 73,
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": '62 + (66 / (73 - 40))'
}<|im_end|>
|
[
25,
21,
71,
6
] | 69 |
1089
|
{
"formula": '25 + (71 - (21 + 6))'
}
| 2,737 | 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, 21, 71, 6,
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": '25 + (71 - (21 + 6))'
}<|im_end|>
|
[
42,
11,
45,
39
] | 12 |
984
|
{
"formula": '45 - (11 * (42 - 39))'
}
| 7,208 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 42, 11, 45, 39,
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": '45 - (11 * (42 - 39))'
}<|im_end|>
|
[
90,
78,
92,
25
] | 64 |
941
|
{
"formula": '(78/(92-90)) +25'
}
| 1,448 | 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, 78, 92, 25,
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": '(78/(92-90)) +25'
}<|im_end|>
|
[
55,
50,
79,
49
] | 25 |
1103
|
{
"formula": "(79 - 49) - (55 - 50)"
}
| 887 | 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, 50, 79, 49,
target: 25
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 25',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(79 - 49) - (55 - 50)"
}<|im_end|>
|
[
9,
82,
59,
33
] | 99 |
1098
|
{
"formula": '82 + 59 - 33 - 9',
}
| 2,337 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 9, 82, 59, 33,
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": '82 + 59 - 33 - 9',
}<|im_end|>
|
[
73,
39,
21,
32
] | 42 |
1051
|
{
"formula": '((73 - 39 - 32) * 21)'
}
| 4,392 | 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, 39, 21, 32,
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": '((73 - 39 - 32) * 21)'
}<|im_end|>
|
[
27,
4,
66,
61
] | 27 |
1099
|
{
"formula": '(66 - (61 + 4)) * 27'
}
| 3,544 | 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: 27, 4, 66, 61,
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": '(66 - (61 + 4)) * 27'
}<|im_end|>
|
[
100,
76,
96,
33
] | 37 |
1112
|
{
"formula": '(96 / (100 - 76)) + 33'
}
| 1,473 | 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: 100, 76, 96, 33,
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": '(96 / (100 - 76)) + 33'
}<|im_end|>
|
[
43,
48,
98,
49
] | 43 |
1108
|
{
"formula": '43*(98 - (48 + 49))'
}
| 1,266 | 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: 43, 48, 98, 49,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '43*(98 - (48 + 49))'
}<|im_end|>
|
[
49,
13,
76,
8
] | 32 |
1107
|
{
"formula": '(76 - 49) + 13 - 8'
}
| 1,504 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 49, 13, 76, 8,
target: 32
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 32',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(76 - 49) + 13 - 8'
}<|im_end|>
|
[
21,
60,
90,
81
] | 75 |
917
|
{
"formula": '((60 * 81) / 90) + 21'
}
| 12,440 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 21, 60, 90, 81,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '((60 * 81) / 90) + 21'
}<|im_end|>
|
[
79,
4,
99,
67
] | 91 |
1109
|
{
"formula": '67 + (99 - (79 - 4))'
}
| 1,804 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 79, 4, 99, 67,
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": '67 + (99 - (79 - 4))'
}<|im_end|>
|
[
44,
78,
60,
52
] | 10 |
1115
|
{
"formula": "(78 - 60) - (52 - 44)"
}
| 913 | 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, 78, 60, 52,
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": "(78 - 60) - (52 - 44)"
}<|im_end|>
|
[
26,
77,
72,
3
] | 18 |
1106
|
{
"formula": "(26 - 3) - (77 - 72)"
}
| 2,851 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 26, 77, 72, 3,
target: 18
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 18',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(26 - 3) - (77 - 72)"
}<|im_end|>
|
[
65,
24,
11,
4
] | 56 |
1113
|
{
"formula": '65 - 24 + 11 + 4'
}
| 1,767 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 65, 24, 11, 4,
target: 56
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 56',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '65 - 24 + 11 + 4'
}<|im_end|>
|
[
53,
8,
42,
43
] | 30 |
1093
|
{
"formula": '42 - ((53 + 43) / 8) = 30'
}
| 7,046 | 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, 8, 42, 43,
target: 30
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 30',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '42 - ((53 + 43) / 8) = 30'
}<|im_end|>
|
[
26,
16,
21,
10
] | 13 |
1090
|
{
"formula": '(26 * (21 - 16)) / 10'
}
| 6,975 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 26, 16, 21, 10,
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": '(26 * (21 - 16)) / 10'
}<|im_end|>
|
[
52,
18,
17,
26
] | 25 |
1116
|
{
"formula": '17 + 52 - 26 - 18'
}
| 2,098 | 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, 18, 17, 26,
target: 25
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 25',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '17 + 52 - 26 - 18'
}<|im_end|>
|
[
22,
64,
20,
94
] | 17 |
1022
|
{
"formula": '64 - (94 / (22 - 20))'
}
| 7,121 | 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: 22, 64, 20, 94,
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": '64 - (94 / (22 - 20))'
}<|im_end|>
|
[
43,
50,
100,
12
] | 20 |
1119
|
{
"formula": '100 / (43 - (50 - 12))',
}
| 1,221 | 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: 43, 50, 100, 12,
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": '100 / (43 - (50 - 12))',
}<|im_end|>
|
[
25,
20,
71,
66
] | 75 |
761
|
{
"formula": '(71 - 66) * 20 - 25'
}
| 4,020 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 25, 20, 71, 66,
target: 75
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 75',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(71 - 66) * 20 - 25'
}<|im_end|>
|
[
83,
83,
48,
96
] | 22 |
1117
|
{
"formula": "83 + 83 - 96 - 48 = 22"
}
| 2,362 | 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: 83, 83, 48, 96,
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": "83 + 83 - 96 - 48 = 22"
}<|im_end|>
|
[
60,
22,
28,
86
] | 24 |
1121
|
{
"formula": '60 - (86 - (22 + 28)) = 24'
}
| 1,463 | 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, 22, 28, 86,
target: 24
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 24',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '60 - (86 - (22 + 28)) = 24'
}<|im_end|>
|
[
64,
15,
8,
41
] | 48 |
1114
|
{
"formula": '(41 + 15) - (64 / 8)'
}
| 3,568 | 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: 64, 15, 8, 41,
target: 48
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 48',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(41 + 15) - (64 / 8)'
}<|im_end|>
|
[
20,
14,
86,
74
] | 18 |
1129
|
{
"formula": '(86 - 74) + (20 - 14)'
}
| 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: 20, 14, 86, 74,
target: 18
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 18',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(86 - 74) + (20 - 14)'
}<|im_end|>
|
[
88,
36,
66,
24
] | 38 |
1118
|
{
"formula": '66 + 36 + 24 - 88'
}
| 3,309 | 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: 88, 36, 66, 24,
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": '66 + 36 + 24 - 88'
}<|im_end|>
|
[
28,
31,
66,
36
] | 43 |
1125
|
{
"formula": '(66 - 31) + (36 - 28)'
}
| 1,977 | 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, 31, 66, 36,
target: 43
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 43',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(66 - 31) + (36 - 28)'
}<|im_end|>
|
[
30,
31,
40,
35
] | 74 |
1134
|
{
"formula": '(40 + 35) - (31 - 30)'
}
| 728 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 30, 31, 40, 35,
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": '(40 + 35) - (31 - 30)'
}<|im_end|>
|
[
49,
32,
25,
26
] | 17 |
1126
|
{
"formula": '49 - (32 / (26 - 25))'
}
| 1,920 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 49, 32, 25, 26,
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": '49 - (32 / (26 - 25))'
}<|im_end|>
|
[
32,
47,
2,
35
] | 76 |
1131
|
{
"formula": '32*2 +47 -35'
}
| 1,407 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 32, 47, 2, 35,
target: 76
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 76',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '32*2 +47 -35'
}<|im_end|>
|
[
52,
60,
31,
4
] | 98 |
1138
|
{
"formula": '(60 / 4) + 52 + 31'
}
| 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: 52, 60, 31, 4,
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": '(60 / 4) + 52 + 31'
}<|im_end|>
|
[
60,
86,
24,
38
] | 12 |
1132
|
{
"formula": '(86 - 60) - (38 - 24)'
}
| 1,230 | 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, 86, 24, 38,
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": '(86 - 60) - (38 - 24)'
}<|im_end|>
|
[
13,
3,
16,
50
] | 18 |
1135
|
{
"formula": "50 - 13 - 16 - 3"
}
| 824 | 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: 13, 3, 16, 50,
target: 18
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 18',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "50 - 13 - 16 - 3"
}<|im_end|>
|
[
95,
3,
79,
42
] | 55 |
1127
|
{
"formula": "95 - 79 + 42 - 3"
}
| 2,497 | 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, 3, 79, 42,
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": "95 - 79 + 42 - 3"
}<|im_end|>
|
[
5,
22,
54,
48
] | 46 |
1096
|
{
"formula": '48 - 54/(5 + 22)'
}
| 5,304 | 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, 22, 54, 48,
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": '48 - 54/(5 + 22)'
}<|im_end|>
|
[
6,
6,
73,
30
] | 62 |
1123
|
{
"formula": '73 - (30 / 6 + 6) = 62'
}
| 2,410 | 122 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 6, 73, 30,
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": '73 - (30 / 6 + 6) = 62'
}<|im_end|>
|
[
51,
33,
45,
33
] | 45 |
896
|
1) = 270/11 ≈24.54. Not.
Alternatively, (45 + 33) - (51 -33). Let's see, 45+33=78, 51-33=18, so 78-18=60. Not.
Hmm. Maybe I need to think of a different approach. Let me list all possible pairs and see:
Possible pairs:
51 and 33: 51+33=84, 51-33=18, 51*33=1683, 51/33≈1.545
51 and 45: 51+45=96, 51-45=6, 51*45=2295, 51/45≈1.133
51 and 33 (the other 33): same as first pair.
33 and 45: 33+45=78, 33-45=-12, 33*45=1485, 33/45≈0.733
33 and 33: 66, 0, 1089, 1.
45 and 33: same as above.
Hmm. Maybe combining three numbers first. Let's see:
Take 51, 33, 33. Let's see 51 - (33+33)= -15. Then adding 45 gives 30. Not.
Alternatively, (51 -33) *33 = 18*33=594. Then 594 /45 =13.2. Not.
Hmm. Maybe (33 +33) * (45 -51). That would be 66*(-6)= -396. Not.
Alternatively, (45 + (51 -33)) * (33/ something). Wait, not sure.
Wait, perhaps (51 - (45 +33)) *33. Let's see, 51-78= -27, times 33 is -891. No.
Hmm. Maybe (33 * (51 -45)) +33. That would be 33*6 +33= 198+33=231. Not.
Hmm. Maybe (45 * (33 - (51/33))). Let's see, 51/33 is 1.545..., so 33-1.545≈31.454. 45*31.454≈1415. Not.
Alternatively, (51/(33/33)) -45. That's 51/1 -45=6. Not.
Hmm. Maybe I'm missing something obvious. Let me think again. The target is 45, and one of the numbers is 45. So perhaps the other three numbers can be arranged to give zero when combined with 45. Wait, but how?
Wait, maybe (51 - 33) - (33) +45. Let's see: 18 -33 is -15, plus 45 is 30. Not.
Alternatively, (51 - (33 +33)) +45 = (51-66)+45 = (-15)+45=30. Still not.
Hmm. Maybe (33 * (51 -45)) divided by 33. That gives (33*6)/33=6. Then adding the remaining number? Wait, but that uses all numbers except one? Wait, no, the two 33s are used here. Wait, let's see:
Wait, 33*(51-45) is 33*6=198, divided by the other 33 gives 6. So that uses all four numbers? Wait, 51,45,33,33. Yes. So that gives 6. Not helpful.
Hmm. Maybe (45 + (51 -33)) -33. That's 45+18-33=30. Still no.
Wait, perhaps (51 - (45 +33)) * (-1) +33? Not sure. Wait, but that might complicate.
Alternatively, maybe (33 + 33) - (51 -45). That's 66 -6=60. Not.
Hmm. Maybe I need to use division in a way that cancels out. Let's see:
Suppose I do (51 - 45) * (33 / 33). That's 6 *1=6. Not.
Hmm. Alternatively, (45 * (33 +33)) /51. Let's see, 45*66=2970 divided by 51 is about 58.23. Not.
Hmm. Maybe (33 *45) / (51 -33). 33*45=1485 divided by 18 is 82.5. Not.
Hmm. Maybe (51 + 33) * (45 / 33). 84 * 1.363≈114.8. Not.
Hmm. Maybe (51 * 33) / (45 +33). 1683 /78≈21.57. Not.
Hmm. Maybe (45 - (51 -33)) *33. Let's see, 45 -18=27, times 33 is 891. Not.
Hmm. Maybe I'm missing a simple combination. Let me try to see if there's a way to get 45 by using the other numbers to cancel out. Since 45 is already present, perhaps the other numbers can be arranged to add to zero when combined with 45. Wait, but how?
Wait, perhaps (51 - 33) * (something). Let's see, 51-33=18. 18 * something equals 45? So 45/18=2.5. So maybe 18*(something)=45. So that something would be 2.5. How to get 2.5 from 45 and 33?
Hmm, 45 divided by (something) to get 2.5. 45/18=2.5. Wait, but that's the same as 18* (45/18)=45. Wait, but that would require using 45 and 18 (which comes from 51-33). But then where does the other 33 come in?
Wait, let's see:
If I do (51 -33) * (45 / (something)), and the something has to be 18, but 18 is already part of the first term. Hmm, maybe not.
Alternatively, (51 - (33 + (45 -33))). Let's see, 45-33=12, so 33+12=45. Then 51-45=6. Not.
Hmm. Maybe ( (51 - 45) * 33 ) /33. That's (6*33)/33=6. Not.
Hmm. Maybe (33 + (51 -45)) * (33/ something). Not sure.
Wait, perhaps (45 + (51 -33)) -33. That's 45+18-33=30. Still no.
Hmm. Maybe I need to use division in a different way. Let's see:
Suppose I do 51 divided by (something) plus something else. Let's see:
51/(33/33) is 51, then subtract 6? But where would the 6 come from?
Wait, 51/(33/33) is 51, then minus (45 - 33) would be 51 -12=39. Not.
Hmm. Alternatively, (45 * (51 -33)) /33. Let's see, 51-33=18, 45*18=810, divided by 33 is 24.54. Not.
Hmm. Maybe (33 * (51 -45)) divided by (something). 33*6=198. 198 divided by (something) to get 45. So 198/45=4.4. So need to get 4.4 from remaining numbers. But the remaining number is 33. 33 divided by something? Not sure.
Hmm. Maybe I'm overcomplicating. Let me try to think of all possible permutations. Since there are four numbers, perhaps the formula is (51 - 33) * (45 / 33). Wait, that gives 18*(1.333) =24. Not.
Alternatively, (45 + (51 -33)) -33 = 45+18-33=30.
Hmm. Maybe (51 - (33 +33)) +45 = (51-66)+45=30.
Hmm. Maybe (33 * (45 - (51/33))). Let's see, 51/33 is 1.545, so 45-1.545≈43.454. 33*43.454≈1434. Not.
Hmm. Maybe ( (51 + 45) - 33 ) * (33/ something). Let's see, 51+45=96-33=63. 63 * (33/x). Not sure.
Hmm. Maybe I need to use subtraction and division. Let's see:
(51 - (45 +33)) divided by (something). 51-78= -27. -27 divided by (33/ something). Not helpful.
Hmm. Maybe (33 +33) - (51 -45) =66-6=60. Not.
Hmm. Maybe (45 * (33 - (51/33))). Let's see, 51/33 is 1.545, so 33-1.545≈31.454. 45*31.454≈1415. Not.
Hmm. Maybe I'm missing a simple combination. Let me try to see if I can get 45 by adding or subtracting the other numbers. Since 45 is already there, perhaps the other numbers can be arranged to cancel out. Let's see:
Suppose I have 45 plus (something) minus (something else) equals 45. So the something minus something else must be zero. So maybe (51 -33) - (33) = 18-33= -15. Not zero. Hmm.
Alternatively, (51 - (33 +33)) = -15. Then adding that to 45 gives 30. Not.
Hmm. Maybe (33 +33) -51 = 66-51=15. Then 45 -15=30. Not.
Hmm. Maybe (51 -33) * (something) =45. So 18 * x =45 → x=2.5. How to get 2.5 from 45 and 33?
Hmm, 45 divided by (something) to get 2.5. 45/18=2.5. So if I can get 18 from the remaining numbers. Wait, but 18 is already from 51-33. So maybe (51-33) * (45/(something)). The something would need to be 18, but that's already part of the first term. So perhaps (51-33)*(45/(something else)). The something else would have to be 33. Let's see:
(51-33)*(45/33) =18*(1.333)=24. Not 45.
Hmm. Alternatively, (45 + (51 -33)) * (33/ something). Not sure.
Wait, maybe ( (51 + 33) / (something) ) * something else. Let's see, 51+33=84. 84 divided by 18 (from 51-33) is 4.666, but not helpful.
Hmm. Maybe I need to use fractions more cleverly. Let's see:
Suppose I do (51 - (45 +33)) * ( -33 ). Wait, that would be (51-78)*-33 = (-27)*-33=891. Not.
Hmm. Alternatively, (45 * (51 -33)) / (33). Let's see, 51-33=18, 45*18=810, divided by 33 is 24.54. Not.
Hmm. Maybe (33 * (51 -45)) divided by (something). 33*6=198. 198 divided by (something) to get 45. So 198/45=4.4. So need to get 4.4 from remaining numbers. The remaining number is 33. 33 divided by 7.5 is 4.4, but I don't have 7.5. Hmm.
Hmm. Maybe I need to use all four numbers in a different way. Let me think of the formula as (a + b) * (c - d). Let's try different combinations:
Take a=51, b=33, c=45, d=33. So (51+33)*(45-33)=84*12=1008. Not.
Alternatively, (51+45)*(33-33)=96*0=0. Not.
Hmm. (33+33)*(51-45)=66*6=396. Not.
Hmm. (51-45)*(33+33)=6*66=396. Not.
Hmm. (51-33)*(45-33)=18*12=216. Not.
Hmm. (45-33)*(51-33)=12*18=216. Same.
Hmm. (51/33)*(45+33)=1.545*78≈120. Not.
Hmm. (45/33)*(51+33)=1.363*84≈114. Not.
Hmm. (51*33)/(45+33)=1683/78≈21.57. Not.
Hmm. (45*33)/(51-33)=1485/18=82.5. Not.
Hmm. (33*33)/(51-45)=1089/6=181.5. Not.
Hmm. (51*45)/(33+33)=2295/66≈34.77. Not.
Hmm. (33*(51-45)) + (33) = 33*6 +33= 198+33=231. Not.
Hmm. (51 - (33 +33)) +45= (51-66)+45=30. Not.
Hmm. Maybe ( (51 - 45) * 33 ) +33. That's 6*33 +33= 198+33=231. Not.
Hmm. ( (51 + 45) - (33 +33) )=96-66=30. Not.
Hmm. ( (51 * 33) - (45 *33) ) / something. Let's see, 51*33=1683, 45*33=1485. 1683-1485=198. 198 divided by something to get 45? 198/45=4.4. So need to divide by 4.4, but how?
Hmm. Maybe (51*33 -45*33)/ (something). The something would have to be 4.4, but I don't have that number.
Hmm. Maybe I'm missing something obvious. Let me try to think of the numbers again: 51, 33, 45, 33. The target is 45. Since 45 is already there, perhaps the other three numbers can be arranged to give zero when combined with 45. Wait, but how?
Wait, maybe (51 - 33) - (33) = 18-33 = -15. Then 45 + (-15) =30. Not.
Hmm. Alternatively, (33 +33) -51 =66-51=15. Then 45 -15=30. Not.
Hmm. Maybe (51 - (33 +33)) =-15. Then 45 - (-15)=60. Not.
Hmm. Maybe (33 * (51 -45)) divided by 33. That gives 6, then adding the remaining number? Wait, but that uses all numbers. So that gives 6. Not.
Hmm. Maybe ( (51 - 33) * (45 -33) ) / something. 18*12=216. 216 divided by something to get 45. 216/45=4.8. Not.
Hmm. Maybe ( (51 + 33) * (45 -33) ) / something. 84*12=1008. 1008 divided by 22.4 would be 45, but not possible.
Hmm. Maybe I need to use division in a different way. Let's see:
Suppose I do (51 - (45 +33)) divided by (something). 51-78= -27. -27 divided by (something) to get 45. So -27/x=45 → x= -27/45= -0.6. How to get -0.6 from remaining number? Not possible.
Hmm. Maybe ( (45 * 33) - (51 *33) ) / something. 1485 -1683= -198. -198 divided by something to get 45. So -198/x=45 → x= -4.4. Not possible.
Hmm. Maybe I'm missing a simple combination. Let me try to see if I can get 45 by multiplying two numbers and subtracting another. Let's see:
45 is already present. Maybe 45 + (something) - (something else) =45. So the something minus something else must be zero. So maybe (51-33) - (33) =-15. Not zero.
Hmm. Alternatively, (33 +33) -51=15. So 45 +15 -30=30. Not.
Hmm. Maybe (51 - (33 +33)) =-15. Then 45 - (-15)=60. Not.
Hmm. Maybe (33 * (51 -45)) divided by (something). 33*6=198. 198 divided by 4.4 is 45, but how to get 4.4?
Hmm. 4.4 is 44/10, but I don't have those numbers. Alternatively, 4.4 is 33/7.5, but again, not available.
Hmm. Maybe I need to use fractions. Let's see:
Suppose I do (51 - (33 +33)) =-15. Then 45 divided by (-15) is -3. Not helpful.
Hmm. Alternatively, (45 divided by (something)) plus something else. Let's see:
45 divided by (51-33)=45/18=2.5. Then 2.5 plus (33-33)=2.5. Not.
Hmm. Maybe ( (51 -45) * (33) ) divided by 33. That gives 6*33/33=6. Not.
Hmm. Maybe ( (33 +33) * (45 -51) ) / something. 66*(-6)= -396 divided by something to get 45. Not.
Hmm. I'm really stuck here. Maybe I need to try a different approach. Let me list all possible permutations of the numbers with operations and see.
Wait, perhaps (51 - (33 + (45 -33))). Let's see:
Inside the brackets: 45-33=12. Then 33+12=45. Then 51-45=6. Not.
Hmm. Alternatively, ( (51 -33) * (45) ) /33. 18*45=810 divided by33≈24.54. Not.
Hmm. Maybe ( (45 +33) * (51 -33) ) / something. 78*18=1404 divided by 32=43.875. Not.
Hmm. Maybe ( (51 * 33) - (45 *33) ) / something. 1683-1485=198. 198 divided by 4.4=45. But how to get 4.4?
Hmm. 4.4 is 44/10, but I don't have those numbers. Alternatively, 33 divided by 7.5 is 4.4, but again, no.
Hmm. Maybe I need to use subtraction and division in a different way. Let's see:
Suppose I do (51 / (33/33)) -45. That's 51/1 -45=6. Not.
Hmm. Alternatively, ( (51 +45) / (33/33) ) - something. 96/1=96. 96-51=45? Wait, but I can't use 51 again. Wait, no, the numbers have to be used exactly once. So that approach won't work.
Hmm. Maybe ( (33 *3) + (51 -45) ). But I don't have a 3. Wait, 33 divided by 11 is 3, but again, not available.
Hmm. Maybe ( (51 - (33 +33)) ) * (45 / something). The first part is -15. So -15*(something)=45 → something is -3. How to get -3 from remaining number? Not possible.
Hmm. Maybe ( (45 - (51 -33)) ) *33. Let's see, 51-33=18. 45-18=27. 27*33=891. Not.
Hmm. I'm really stuck. Maybe I need to think outside the box. Let me see if there's a way to combine numbers to get 45 using all four numbers. Since 45 is already present, perhaps the other three numbers can be arranged to give zero when combined with 45. Wait, but how?
Wait, maybe (51 - 33) - (33) +45. That's 18-33+45=30. Not.
Hmm. Alternatively, (33 +33) -51 +45=66-51+45=60. Not.
Hmm. Maybe (51 - (33 +33)) +45= (51-66)+45=30. Not.
Hmm. Maybe ( (51 -45) * (33) ) divided by 33. That gives 6*33/33=6. Not.
Hmm. Maybe ( (33 * (51 -45)) ) divided by (something). 33*6=198. 198 divided by 4.4=45. But how to get 4.4?
Hmm. 4.4 is 44/10, but I don't have those numbers. Alternatively, 33 divided by 7.5 is 4.4, but again, no.
Hmm. Maybe I need to use division in a different way. Let's see:
Suppose I do ( (51 * 33) / (45 +33) ) * something. 51*33=1683 divided by 78≈21.57. 21.57 * something=45. So 45/21.57≈2.086. Not sure.
Hmm. Maybe ( (45 *33) / (51 -33) ) - something. 1485/18=82.5. 82.5 -37.5=45. But where to get 37.5?
Hmm. 37.5 is 33 +4.5, but not helpful.
Hmm. I'm really stuck here. Maybe I need to try a different combination. Let me think of using multiplication and division with all four numbers.
Wait, perhaps ( (51 - 33) * (45) ) /33. That's 18*45=810 divided by33≈24.54. Not.
Hmm. Alternatively, ( (33 +33) * (45) ) /51. 66*45=2970 divided by51≈58.23. Not.
Hmm. Maybe ( (51 +45) * (33 -33) ) / something. That's 96*0=0. Not.
Hmm. Maybe ( (51 *45) - (33 *33) ) divided by something. 2295 -1089=1206. 1206 divided by 26.8=45. Not possible.
Hmm. I'm really not seeing it. Maybe I need to try a different approach. Let me think of the numbers as 51, 33, 45, 33. Let me see if I can get 45 by combining them in a way that uses all four numbers.
Wait a second! Maybe (51 - (33 + (45 -33))). Let's compute step by step:
Inside the innermost parentheses: 45-33=12.
Then 33 +12=45.
Then 51 -45=6. Not.
Hmm. Not helpful.
Alternatively, ( (51 -45) * (33) ) divided by (33). That gives 6*33/33=6. Not.
Hmm. Maybe ( (33 * (51 -45)) ) divided by (something). 33*6=198. 198 divided by 4.4=45. But how to get 4.4?
Hmm. 4.4 is 44/10, but I don't have those numbers. Alternatively, 33 divided by 7.5 is 4.4, but again, no.
Hmm. Maybe I need to use subtraction and division. Let's see:
Suppose I do ( (51 - (33 +33)) ) * (45 / something). The first part is -15. So -15*(something)=45 → something is -3. How to get -3 from remaining number? Not possible.
Hmm. Maybe ( (45 - (51 -33)) ) *33. Let's see:
51-33=18. 45-18=27. 27*33=891. Not.
Hmm. I'm really stuck. Maybe I need to try a different combination. Let me think of using division first.
Suppose I do 51 divided by (something) plus something else. Let's see:
51 divided by (33/33)=51/1=51. Then subtract (45 - something). Not sure.
Hmm. Alternatively, (45 divided by (something)) plus something else. Let's see:
45 divided by (33/ something). Not sure.
Hmm. Maybe ( (51 -33) divided by (something) ) * something else. 18 divided by (something) to get 45. So 18/x=45 → x=0.4. How to get 0.4 from remaining numbers?
Hmm. 0.4 is 4/10, but not available. Alternatively, 33 divided by 82.5=0.4, but again, not.
Hmm. I'm really not getting this. Maybe I need to try all possible permutations systematically.
Let me list all possible pairs and see:
Possible pairs:
51 and 33: 51-33=18, 51+33=84, 51*33=1683, 51/33≈1.545
51 and 45: 51-45=6, 51+45=96, 51*45=2295, 51/45≈1.133
51 and 33 (other): same as first pair.
33 and 45: 33+45=78, 33-45=-12, 33*45=1485, 33/45≈0.733
33 and 33: 66, 0, 1089, 1.
45 and 33: same as above.
Now, let's try combining three numbers first:
Take 51, 33, 33:
Possible combinations:
51 +33 +33=117. Then 117 -45=72. Not.
51 - (33+33)= -15. Then -15 +45=30.
51*(33-33)=0. Then 0 +45=45. Wait a second! That's it!
Wait, let me see:
If I do 51 multiplied by (33-33), that's 51*0=0. Then add 45. So the formula would be 51*(33-33) +45 =0+45=45. But does that use all numbers?
Yes! The numbers used are 51, 33, 33, and 45. Each exactly once. Because 33-33 uses both 33s, then multiplied by 51, and then add 45. So that uses all four numbers. Oh! That's the solution!
Wait, let me confirm:
51*(33 -33) +45 =51*0 +45=0+45=45. Yes! And all numbers are used exactly once: 51, 33, 33, and 45. Perfect!
So the formula is 51*(33-33)+45=45. But wait, the problem says to use each number exactly once. Let me check:
The two 33s are used in (33-33), then 51 is multiplied by that, and then adding 45. So yes, each number is used once. The two 33s are used in the subtraction, 51 in the multiplication, and 45 in the addition. So that works!
So the formula is 51*(33-33)+45. But wait, that's 51*0 +45=45. But maybe it can be written as (51*(33-33)) +45, which is valid.
Alternatively, maybe written as 45 +51*(33-33). Either way, it's correct.
So the answer should be that formula.
{
"formula": '51*(33-33)+45'
}
| 9,741 | 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, 33, 45, 33,
target: 45
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 45',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
1) = 270/11 ≈24.54. Not.
Alternatively, (45 + 33) - (51 -33). Let's see, 45+33=78, 51-33=18, so 78-18=60. Not.
Hmm. Maybe I need to think of a different approach. Let me list all possible pairs and see:
Possible pairs:
51 and 33: 51+33=84, 51-33=18, 51*33=1683, 51/33≈1.545
51 and 45: 51+45=96, 51-45=6, 51*45=2295, 51/45≈1.133
51 and 33 (the other 33): same as first pair.
33 and 45: 33+45=78, 33-45=-12, 33*45=1485, 33/45≈0.733
33 and 33: 66, 0, 1089, 1.
45 and 33: same as above.
Hmm. Maybe combining three numbers first. Let's see:
Take 51, 33, 33. Let's see 51 - (33+33)= -15. Then adding 45 gives 30. Not.
Alternatively, (51 -33) *33 = 18*33=594. Then 594 /45 =13.2. Not.
Hmm. Maybe (33 +33) * (45 -51). That would be 66*(-6)= -396. Not.
Alternatively, (45 + (51 -33)) * (33/ something). Wait, not sure.
Wait, perhaps (51 - (45 +33)) *33. Let's see, 51-78= -27, times 33 is -891. No.
Hmm. Maybe (33 * (51 -45)) +33. That would be 33*6 +33= 198+33=231. Not.
Hmm. Maybe (45 * (33 - (51/33))). Let's see, 51/33 is 1.545..., so 33-1.545≈31.454. 45*31.454≈1415. Not.
Alternatively, (51/(33/33)) -45. That's 51/1 -45=6. Not.
Hmm. Maybe I'm missing something obvious. Let me think again. The target is 45, and one of the numbers is 45. So perhaps the other three numbers can be arranged to give zero when combined with 45. Wait, but how?
Wait, maybe (51 - 33) - (33) +45. Let's see: 18 -33 is -15, plus 45 is 30. Not.
Alternatively, (51 - (33 +33)) +45 = (51-66)+45 = (-15)+45=30. Still not.
Hmm. Maybe (33 * (51 -45)) divided by 33. That gives (33*6)/33=6. Then adding the remaining number? Wait, but that uses all numbers except one? Wait, no, the two 33s are used here. Wait, let's see:
Wait, 33*(51-45) is 33*6=198, divided by the other 33 gives 6. So that uses all four numbers? Wait, 51,45,33,33. Yes. So that gives 6. Not helpful.
Hmm. Maybe (45 + (51 -33)) -33. That's 45+18-33=30. Still no.
Wait, perhaps (51 - (45 +33)) * (-1) +33? Not sure. Wait, but that might complicate.
Alternatively, maybe (33 + 33) - (51 -45). That's 66 -6=60. Not.
Hmm. Maybe I need to use division in a way that cancels out. Let's see:
Suppose I do (51 - 45) * (33 / 33). That's 6 *1=6. Not.
Hmm. Alternatively, (45 * (33 +33)) /51. Let's see, 45*66=2970 divided by 51 is about 58.23. Not.
Hmm. Maybe (33 *45) / (51 -33). 33*45=1485 divided by 18 is 82.5. Not.
Hmm. Maybe (51 + 33) * (45 / 33). 84 * 1.363≈114.8. Not.
Hmm. Maybe (51 * 33) / (45 +33). 1683 /78≈21.57. Not.
Hmm. Maybe (45 - (51 -33)) *33. Let's see, 45 -18=27, times 33 is 891. Not.
Hmm. Maybe I'm missing a simple combination. Let me try to see if there's a way to get 45 by using the other numbers to cancel out. Since 45 is already present, perhaps the other numbers can be arranged to add to zero when combined with 45. Wait, but how?
Wait, perhaps (51 - 33) * (something). Let's see, 51-33=18. 18 * something equals 45? So 45/18=2.5. So maybe 18*(something)=45. So that something would be 2.5. How to get 2.5 from 45 and 33?
Hmm, 45 divided by (something) to get 2.5. 45/18=2.5. Wait, but that's the same as 18* (45/18)=45. Wait, but that would require using 45 and 18 (which comes from 51-33). But then where does the other 33 come in?
Wait, let's see:
If I do (51 -33) * (45 / (something)), and the something has to be 18, but 18 is already part of the first term. Hmm, maybe not.
Alternatively, (51 - (33 + (45 -33))). Let's see, 45-33=12, so 33+12=45. Then 51-45=6. Not.
Hmm. Maybe ( (51 - 45) * 33 ) /33. That's (6*33)/33=6. Not.
Hmm. Maybe (33 + (51 -45)) * (33/ something). Not sure.
Wait, perhaps (45 + (51 -33)) -33. That's 45+18-33=30. Still no.
Hmm. Maybe I need to use division in a different way. Let's see:
Suppose I do 51 divided by (something) plus something else. Let's see:
51/(33/33) is 51, then subtract 6? But where would the 6 come from?
Wait, 51/(33/33) is 51, then minus (45 - 33) would be 51 -12=39. Not.
Hmm. Alternatively, (45 * (51 -33)) /33. Let's see, 51-33=18, 45*18=810, divided by 33 is 24.54. Not.
Hmm. Maybe (33 * (51 -45)) divided by (something). 33*6=198. 198 divided by (something) to get 45. So 198/45=4.4. So need to get 4.4 from remaining numbers. But the remaining number is 33. 33 divided by something? Not sure.
Hmm. Maybe I'm overcomplicating. Let me try to think of all possible permutations. Since there are four numbers, perhaps the formula is (51 - 33) * (45 / 33). Wait, that gives 18*(1.333) =24. Not.
Alternatively, (45 + (51 -33)) -33 = 45+18-33=30.
Hmm. Maybe (51 - (33 +33)) +45 = (51-66)+45=30.
Hmm. Maybe (33 * (45 - (51/33))). Let's see, 51/33 is 1.545, so 45-1.545≈43.454. 33*43.454≈1434. Not.
Hmm. Maybe ( (51 + 45) - 33 ) * (33/ something). Let's see, 51+45=96-33=63. 63 * (33/x). Not sure.
Hmm. Maybe I need to use subtraction and division. Let's see:
(51 - (45 +33)) divided by (something). 51-78= -27. -27 divided by (33/ something). Not helpful.
Hmm. Maybe (33 +33) - (51 -45) =66-6=60. Not.
Hmm. Maybe (45 * (33 - (51/33))). Let's see, 51/33 is 1.545, so 33-1.545≈31.454. 45*31.454≈1415. Not.
Hmm. Maybe I'm missing a simple combination. Let me try to see if I can get 45 by adding or subtracting the other numbers. Since 45 is already there, perhaps the other numbers can be arranged to cancel out. Let's see:
Suppose I have 45 plus (something) minus (something else) equals 45. So the something minus something else must be zero. So maybe (51 -33) - (33) = 18-33= -15. Not zero. Hmm.
Alternatively, (51 - (33 +33)) = -15. Then adding that to 45 gives 30. Not.
Hmm. Maybe (33 +33) -51 = 66-51=15. Then 45 -15=30. Not.
Hmm. Maybe (51 -33) * (something) =45. So 18 * x =45 → x=2.5. How to get 2.5 from 45 and 33?
Hmm, 45 divided by (something) to get 2.5. 45/18=2.5. So if I can get 18 from the remaining numbers. Wait, but 18 is already from 51-33. So maybe (51-33) * (45/(something)). The something would need to be 18, but that's already part of the first term. So perhaps (51-33)*(45/(something else)). The something else would have to be 33. Let's see:
(51-33)*(45/33) =18*(1.333)=24. Not 45.
Hmm. Alternatively, (45 + (51 -33)) * (33/ something). Not sure.
Wait, maybe ( (51 + 33) / (something) ) * something else. Let's see, 51+33=84. 84 divided by 18 (from 51-33) is 4.666, but not helpful.
Hmm. Maybe I need to use fractions more cleverly. Let's see:
Suppose I do (51 - (45 +33)) * ( -33 ). Wait, that would be (51-78)*-33 = (-27)*-33=891. Not.
Hmm. Alternatively, (45 * (51 -33)) / (33). Let's see, 51-33=18, 45*18=810, divided by 33 is 24.54. Not.
Hmm. Maybe (33 * (51 -45)) divided by (something). 33*6=198. 198 divided by (something) to get 45. So 198/45=4.4. So need to get 4.4 from remaining numbers. The remaining number is 33. 33 divided by 7.5 is 4.4, but I don't have 7.5. Hmm.
Hmm. Maybe I need to use all four numbers in a different way. Let me think of the formula as (a + b) * (c - d). Let's try different combinations:
Take a=51, b=33, c=45, d=33. So (51+33)*(45-33)=84*12=1008. Not.
Alternatively, (51+45)*(33-33)=96*0=0. Not.
Hmm. (33+33)*(51-45)=66*6=396. Not.
Hmm. (51-45)*(33+33)=6*66=396. Not.
Hmm. (51-33)*(45-33)=18*12=216. Not.
Hmm. (45-33)*(51-33)=12*18=216. Same.
Hmm. (51/33)*(45+33)=1.545*78≈120. Not.
Hmm. (45/33)*(51+33)=1.363*84≈114. Not.
Hmm. (51*33)/(45+33)=1683/78≈21.57. Not.
Hmm. (45*33)/(51-33)=1485/18=82.5. Not.
Hmm. (33*33)/(51-45)=1089/6=181.5. Not.
Hmm. (51*45)/(33+33)=2295/66≈34.77. Not.
Hmm. (33*(51-45)) + (33) = 33*6 +33= 198+33=231. Not.
Hmm. (51 - (33 +33)) +45= (51-66)+45=30. Not.
Hmm. Maybe ( (51 - 45) * 33 ) +33. That's 6*33 +33= 198+33=231. Not.
Hmm. ( (51 + 45) - (33 +33) )=96-66=30. Not.
Hmm. ( (51 * 33) - (45 *33) ) / something. Let's see, 51*33=1683, 45*33=1485. 1683-1485=198. 198 divided by something to get 45? 198/45=4.4. So need to divide by 4.4, but how?
Hmm. Maybe (51*33 -45*33)/ (something). The something would have to be 4.4, but I don't have that number.
Hmm. Maybe I'm missing something obvious. Let me try to think of the numbers again: 51, 33, 45, 33. The target is 45. Since 45 is already there, perhaps the other three numbers can be arranged to give zero when combined with 45. Wait, but how?
Wait, maybe (51 - 33) - (33) = 18-33 = -15. Then 45 + (-15) =30. Not.
Hmm. Alternatively, (33 +33) -51 =66-51=15. Then 45 -15=30. Not.
Hmm. Maybe (51 - (33 +33)) =-15. Then 45 - (-15)=60. Not.
Hmm. Maybe (33 * (51 -45)) divided by 33. That gives 6, then adding the remaining number? Wait, but that uses all numbers. So that gives 6. Not.
Hmm. Maybe ( (51 - 33) * (45 -33) ) / something. 18*12=216. 216 divided by something to get 45. 216/45=4.8. Not.
Hmm. Maybe ( (51 + 33) * (45 -33) ) / something. 84*12=1008. 1008 divided by 22.4 would be 45, but not possible.
Hmm. Maybe I need to use division in a different way. Let's see:
Suppose I do (51 - (45 +33)) divided by (something). 51-78= -27. -27 divided by (something) to get 45. So -27/x=45 → x= -27/45= -0.6. How to get -0.6 from remaining number? Not possible.
Hmm. Maybe ( (45 * 33) - (51 *33) ) / something. 1485 -1683= -198. -198 divided by something to get 45. So -198/x=45 → x= -4.4. Not possible.
Hmm. Maybe I'm missing a simple combination. Let me try to see if I can get 45 by multiplying two numbers and subtracting another. Let's see:
45 is already present. Maybe 45 + (something) - (something else) =45. So the something minus something else must be zero. So maybe (51-33) - (33) =-15. Not zero.
Hmm. Alternatively, (33 +33) -51=15. So 45 +15 -30=30. Not.
Hmm. Maybe (51 - (33 +33)) =-15. Then 45 - (-15)=60. Not.
Hmm. Maybe (33 * (51 -45)) divided by (something). 33*6=198. 198 divided by 4.4 is 45, but how to get 4.4?
Hmm. 4.4 is 44/10, but I don't have those numbers. Alternatively, 4.4 is 33/7.5, but again, not available.
Hmm. Maybe I need to use fractions. Let's see:
Suppose I do (51 - (33 +33)) =-15. Then 45 divided by (-15) is -3. Not helpful.
Hmm. Alternatively, (45 divided by (something)) plus something else. Let's see:
45 divided by (51-33)=45/18=2.5. Then 2.5 plus (33-33)=2.5. Not.
Hmm. Maybe ( (51 -45) * (33) ) divided by 33. That gives 6*33/33=6. Not.
Hmm. Maybe ( (33 +33) * (45 -51) ) / something. 66*(-6)= -396 divided by something to get 45. Not.
Hmm. I'm really stuck here. Maybe I need to try a different approach. Let me list all possible permutations of the numbers with operations and see.
Wait, perhaps (51 - (33 + (45 -33))). Let's see:
Inside the brackets: 45-33=12. Then 33+12=45. Then 51-45=6. Not.
Hmm. Alternatively, ( (51 -33) * (45) ) /33. 18*45=810 divided by33≈24.54. Not.
Hmm. Maybe ( (45 +33) * (51 -33) ) / something. 78*18=1404 divided by 32=43.875. Not.
Hmm. Maybe ( (51 * 33) - (45 *33) ) / something. 1683-1485=198. 198 divided by 4.4=45. But how to get 4.4?
Hmm. 4.4 is 44/10, but I don't have those numbers. Alternatively, 33 divided by 7.5 is 4.4, but again, no.
Hmm. Maybe I need to use subtraction and division in a different way. Let's see:
Suppose I do (51 / (33/33)) -45. That's 51/1 -45=6. Not.
Hmm. Alternatively, ( (51 +45) / (33/33) ) - something. 96/1=96. 96-51=45? Wait, but I can't use 51 again. Wait, no, the numbers have to be used exactly once. So that approach won't work.
Hmm. Maybe ( (33 *3) + (51 -45) ). But I don't have a 3. Wait, 33 divided by 11 is 3, but again, not available.
Hmm. Maybe ( (51 - (33 +33)) ) * (45 / something). The first part is -15. So -15*(something)=45 → something is -3. How to get -3 from remaining number? Not possible.
Hmm. Maybe ( (45 - (51 -33)) ) *33. Let's see, 51-33=18. 45-18=27. 27*33=891. Not.
Hmm. I'm really stuck. Maybe I need to think outside the box. Let me see if there's a way to combine numbers to get 45 using all four numbers. Since 45 is already present, perhaps the other three numbers can be arranged to give zero when combined with 45. Wait, but how?
Wait, maybe (51 - 33) - (33) +45. That's 18-33+45=30. Not.
Hmm. Alternatively, (33 +33) -51 +45=66-51+45=60. Not.
Hmm. Maybe (51 - (33 +33)) +45= (51-66)+45=30. Not.
Hmm. Maybe ( (51 -45) * (33) ) divided by 33. That gives 6*33/33=6. Not.
Hmm. Maybe ( (33 * (51 -45)) ) divided by (something). 33*6=198. 198 divided by 4.4=45. But how to get 4.4?
Hmm. 4.4 is 44/10, but I don't have those numbers. Alternatively, 33 divided by 7.5 is 4.4, but again, no.
Hmm. Maybe I need to use division in a different way. Let's see:
Suppose I do ( (51 * 33) / (45 +33) ) * something. 51*33=1683 divided by 78≈21.57. 21.57 * something=45. So 45/21.57≈2.086. Not sure.
Hmm. Maybe ( (45 *33) / (51 -33) ) - something. 1485/18=82.5. 82.5 -37.5=45. But where to get 37.5?
Hmm. 37.5 is 33 +4.5, but not helpful.
Hmm. I'm really stuck here. Maybe I need to try a different combination. Let me think of using multiplication and division with all four numbers.
Wait, perhaps ( (51 - 33) * (45) ) /33. That's 18*45=810 divided by33≈24.54. Not.
Hmm. Alternatively, ( (33 +33) * (45) ) /51. 66*45=2970 divided by51≈58.23. Not.
Hmm. Maybe ( (51 +45) * (33 -33) ) / something. That's 96*0=0. Not.
Hmm. Maybe ( (51 *45) - (33 *33) ) divided by something. 2295 -1089=1206. 1206 divided by 26.8=45. Not possible.
Hmm. I'm really not seeing it. Maybe I need to try a different approach. Let me think of the numbers as 51, 33, 45, 33. Let me see if I can get 45 by combining them in a way that uses all four numbers.
Wait a second! Maybe (51 - (33 + (45 -33))). Let's compute step by step:
Inside the innermost parentheses: 45-33=12.
Then 33 +12=45.
Then 51 -45=6. Not.
Hmm. Not helpful.
Alternatively, ( (51 -45) * (33) ) divided by (33). That gives 6*33/33=6. Not.
Hmm. Maybe ( (33 * (51 -45)) ) divided by (something). 33*6=198. 198 divided by 4.4=45. But how to get 4.4?
Hmm. 4.4 is 44/10, but I don't have those numbers. Alternatively, 33 divided by 7.5 is 4.4, but again, no.
Hmm. Maybe I need to use subtraction and division. Let's see:
Suppose I do ( (51 - (33 +33)) ) * (45 / something). The first part is -15. So -15*(something)=45 → something is -3. How to get -3 from remaining number? Not possible.
Hmm. Maybe ( (45 - (51 -33)) ) *33. Let's see:
51-33=18. 45-18=27. 27*33=891. Not.
Hmm. I'm really stuck. Maybe I need to try a different combination. Let me think of using division first.
Suppose I do 51 divided by (something) plus something else. Let's see:
51 divided by (33/33)=51/1=51. Then subtract (45 - something). Not sure.
Hmm. Alternatively, (45 divided by (something)) plus something else. Let's see:
45 divided by (33/ something). Not sure.
Hmm. Maybe ( (51 -33) divided by (something) ) * something else. 18 divided by (something) to get 45. So 18/x=45 → x=0.4. How to get 0.4 from remaining numbers?
Hmm. 0.4 is 4/10, but not available. Alternatively, 33 divided by 82.5=0.4, but again, not.
Hmm. I'm really not getting this. Maybe I need to try all possible permutations systematically.
Let me list all possible pairs and see:
Possible pairs:
51 and 33: 51-33=18, 51+33=84, 51*33=1683, 51/33≈1.545
51 and 45: 51-45=6, 51+45=96, 51*45=2295, 51/45≈1.133
51 and 33 (other): same as first pair.
33 and 45: 33+45=78, 33-45=-12, 33*45=1485, 33/45≈0.733
33 and 33: 66, 0, 1089, 1.
45 and 33: same as above.
Now, let's try combining three numbers first:
Take 51, 33, 33:
Possible combinations:
51 +33 +33=117. Then 117 -45=72. Not.
51 - (33+33)= -15. Then -15 +45=30.
51*(33-33)=0. Then 0 +45=45. Wait a second! That's it!
Wait, let me see:
If I do 51 multiplied by (33-33), that's 51*0=0. Then add 45. So the formula would be 51*(33-33) +45 =0+45=45. But does that use all numbers?
Yes! The numbers used are 51, 33, 33, and 45. Each exactly once. Because 33-33 uses both 33s, then multiplied by 51, and then add 45. So that uses all four numbers. Oh! That's the solution!
Wait, let me confirm:
51*(33 -33) +45 =51*0 +45=0+45=45. Yes! And all numbers are used exactly once: 51, 33, 33, and 45. Perfect!
So the formula is 51*(33-33)+45=45. But wait, the problem says to use each number exactly once. Let me check:
The two 33s are used in (33-33), then 51 is multiplied by that, and then adding 45. So yes, each number is used once. The two 33s are used in the subtraction, 51 in the multiplication, and 45 in the addition. So that works!
So the formula is 51*(33-33)+45. But wait, that's 51*0 +45=45. But maybe it can be written as (51*(33-33)) +45, which is valid.
Alternatively, maybe written as 45 +51*(33-33). Either way, it's correct.
So the answer should be that formula.
{
"formula": '51*(33-33)+45'
}<|im_end|>
|
[
2,
88,
76,
40
] | 68 |
1140
|
{
"formula": '76 - (88 - (40 * 2))',
}
| 2,751 | 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, 88, 76, 40,
target: 68
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 68',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '76 - (88 - (40 * 2))',
}<|im_end|>
|
[
14,
63,
5,
59
] | 90 |
1133
|
{
"formula": '5*(63 - 59 + 14) = 90'
}
| 1,729 | 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: 14, 63, 5, 59,
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": '5*(63 - 59 + 14) = 90'
}<|im_end|>
|
[
72,
82,
76,
97
] | 60 |
1122
|
{
"formula": '(97 - 82) * (76 - 72)'
}
| 3,490 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 72, 82, 76, 97,
target: 60
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 60',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(97 - 82) * (76 - 72)'
}<|im_end|>
|
[
89,
75,
41,
34
] | 88 |
1110
|
{
"formula": '89 - (34 / (75 - 41))'
}
| 8,163 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 89, 75, 41, 34,
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": '89 - (34 / (75 - 41))'
}<|im_end|>
|
[
1,
67,
99,
48
] | 17 |
1088
|
{
"formula": '48 - (99 - (1 + 67))'
}
| 1,249 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 1, 67, 99, 48,
target: 17
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 17',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '48 - (99 - (1 + 67))'
}<|im_end|>
|
[
39,
97,
17,
94
] | 90 |
998
|
{
"formula": "(97 - 94) * 17 + 39"
}
| 10,317 | 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: 39, 97, 17, 94,
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": "(97 - 94) * 17 + 39"
}<|im_end|>
|
[
2,
20,
35,
28
] | 54 |
1039
|
{
"formula": '(35 - (28 - 20)) * 2'
}
| 1,307 | 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, 20, 35, 28,
target: 54
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 54',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(35 - (28 - 20)) * 2'
}<|im_end|>
|
[
34,
10,
1,
8
] | 17 |
1148
|
{
"formula": '34 - (10 + 8 - 1) = 17'
}
| 1,732 | 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: 34, 10, 1, 8,
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": '34 - (10 + 8 - 1) = 17'
}<|im_end|>
|
[
60,
34,
28,
62
] | 96 |
837
|
{
"formula": "(62 - 60) * 34 + 28"
}
| 1,539 | 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, 34, 28, 62,
target: 96
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 96',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(62 - 60) * 34 + 28"
}<|im_end|>
|
[
76,
74,
30,
33
] | 36 |
1142
|
{
"formula": '((76 - 74) * 33) - 30'
}
| 2,399 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 76, 74, 30, 33,
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": '((76 - 74) * 33) - 30'
}<|im_end|>
|
[
29,
45,
9,
64
] | 36 |
1159
|
{
"formula": "(64 / (45 - 29)) * 9"
}
| 664 | 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: 29, 45, 9, 64,
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": "(64 / (45 - 29)) * 9"
}<|im_end|>
|
[
36,
72,
68,
31
] | 63 |
1141
|
{
"formula": '(68 + 36 + 31) - 72'
}
| 2,460 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 36, 72, 68, 31,
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": '(68 + 36 + 31) - 72'
}<|im_end|>
|
[
29,
48,
25,
72
] | 20 |
1153
|
{
"formula": '(72 - 48) - (29 - 25)'
}
| 2,030 | 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, 48, 25, 72,
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": '(72 - 48) - (29 - 25)'
}<|im_end|>
|
[
53,
68,
2,
35
] | 73 |
1143
|
5) is 68/18 ≈3.777. Not helpful.
Alternatively, (53 + 35) divided by something. 88 divided by 2 is 44. Then 44 +68=112. Not helpful.
Wait, maybe (68 - 35) *2 +53? Let's see, 68-35=33. 33*2=66. 66+53=119. No.
Hmm, perhaps (53 - 35) * something. 18 * (something). 18*4=72, close to 73. But how to get 4? 68 divided by 17, but not sure.
Alternatively, (68 / 2) is 34. Then 34 + 35 =69. Then 69 +4=73. But where's the 4? Maybe 53 - (something). Wait, 53 - (68 - (35*2))? Wait, 35*2 is 70, 68-70 is -2, so 53 - (-2)=55. Not 4.
Hmm, maybe (53 + 2) * something. 55 * (something). 55*1.327 would be 73, but that's not an integer.
Alternatively, 35 + 53 =88. 88 - (68/2)=88-34=54. Not enough.
Wait, maybe (68 - (53 / something)). Let's see, 53 divided by 2 is 26.5. 68-26.5=41.5. Then 41.5 +35=76.5. Close but not 73.
Hmm, maybe 35*2 + (68 -53) =70+15=85. Still over.
Wait, perhaps (35 * 2) + (68 - (53))? 70 + (15)=85 again.
Hmm, maybe I need to use subtraction in another way. Let's see, 53 + (35 *2) -68. That would be 53 +70 -68 =55. Not enough.
Alternatively, 68 + (35 *2) -53. 68+70=138-53=85. Still over.
Hmm, maybe (53 + 68) - (35 +2)=121-37=84. Not helpful.
Wait, perhaps (68 - 35) *2 +53? 33*2=66+53=119. No.
Hmm, maybe (53 - (68 / something)). Let's see, 68 divided by 2 is 34. 53-34=19. Then 19 +35=54. Not enough.
Alternatively, (35 - (68 /2)) * something. 35-34=1. 1*53=53. Not helpful.
Hmm, maybe I'm missing something. Let me try all possible combinations step by step.
The numbers are 53,68,2,35. Let's list all possible pairs and see:
First, pick two numbers and combine them with each operation, then combine with the next, etc.
Let me try starting with 53 and 2. 53+2=55, 53-2=51, 2-53=-51, 53*2=106, 53/2=26.5, 2/53≈0.037.
Then combine with 35 and 68. Let's see:
Take 53+2=55. Then with 35: 55+35=90, 55-35=20, 35-55=-20, 55*35=1925, etc. Then with 68. Not sure.
Alternatively, 53*2=106. Then 106 +35=141, 106-35=71. Oh! 106-35=71. Then adding 68? Wait, but we need to use all numbers. Wait, let's see:
Wait, if I do 53*2 =106. Then subtract 35 to get 71. Then I still have 68 left. So 71 plus 68 would be 139, but that's over. Alternatively, 71 minus 68 is 3. Not helpful.
Wait, but maybe another way. Let's see:
Wait, 53*2=106. Then 106 - (68 -35). Let's compute that. 68-35=33. 106-33=73. Oh! Wait, that might work.
Wait, let me check that again. 53 multiplied by 2 is 106. Then subtract (68 minus 35). 68-35 is 33. So 106 -33 equals 73. Yes! And that uses all the numbers: 53, 2, 68, 35. Each exactly once. So the formula would be (53 * 2) - (68 - 35) = 106 - 33 =73. Perfect!
Wait, let me confirm the operations:
53 * 2 =106,
68 -35 =33,
then 106 -33 =73. Yes, that works. And all numbers are used once. So the equation is (53 * 2) - (68 - 35) =73. Alternatively, written as 53*2 - (68-35) =73. So the formula can be written as (53 * 2) - (68 - 35) =73. That should be the correct answer.
{
"formula": '(53 * 2) - (68 - 35)'
}
| 3,092 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 53, 68, 2, 35,
target: 73
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 73',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
5) is 68/18 ≈3.777. Not helpful.
Alternatively, (53 + 35) divided by something. 88 divided by 2 is 44. Then 44 +68=112. Not helpful.
Wait, maybe (68 - 35) *2 +53? Let's see, 68-35=33. 33*2=66. 66+53=119. No.
Hmm, perhaps (53 - 35) * something. 18 * (something). 18*4=72, close to 73. But how to get 4? 68 divided by 17, but not sure.
Alternatively, (68 / 2) is 34. Then 34 + 35 =69. Then 69 +4=73. But where's the 4? Maybe 53 - (something). Wait, 53 - (68 - (35*2))? Wait, 35*2 is 70, 68-70 is -2, so 53 - (-2)=55. Not 4.
Hmm, maybe (53 + 2) * something. 55 * (something). 55*1.327 would be 73, but that's not an integer.
Alternatively, 35 + 53 =88. 88 - (68/2)=88-34=54. Not enough.
Wait, maybe (68 - (53 / something)). Let's see, 53 divided by 2 is 26.5. 68-26.5=41.5. Then 41.5 +35=76.5. Close but not 73.
Hmm, maybe 35*2 + (68 -53) =70+15=85. Still over.
Wait, perhaps (35 * 2) + (68 - (53))? 70 + (15)=85 again.
Hmm, maybe I need to use subtraction in another way. Let's see, 53 + (35 *2) -68. That would be 53 +70 -68 =55. Not enough.
Alternatively, 68 + (35 *2) -53. 68+70=138-53=85. Still over.
Hmm, maybe (53 + 68) - (35 +2)=121-37=84. Not helpful.
Wait, perhaps (68 - 35) *2 +53? 33*2=66+53=119. No.
Hmm, maybe (53 - (68 / something)). Let's see, 68 divided by 2 is 34. 53-34=19. Then 19 +35=54. Not enough.
Alternatively, (35 - (68 /2)) * something. 35-34=1. 1*53=53. Not helpful.
Hmm, maybe I'm missing something. Let me try all possible combinations step by step.
The numbers are 53,68,2,35. Let's list all possible pairs and see:
First, pick two numbers and combine them with each operation, then combine with the next, etc.
Let me try starting with 53 and 2. 53+2=55, 53-2=51, 2-53=-51, 53*2=106, 53/2=26.5, 2/53≈0.037.
Then combine with 35 and 68. Let's see:
Take 53+2=55. Then with 35: 55+35=90, 55-35=20, 35-55=-20, 55*35=1925, etc. Then with 68. Not sure.
Alternatively, 53*2=106. Then 106 +35=141, 106-35=71. Oh! 106-35=71. Then adding 68? Wait, but we need to use all numbers. Wait, let's see:
Wait, if I do 53*2 =106. Then subtract 35 to get 71. Then I still have 68 left. So 71 plus 68 would be 139, but that's over. Alternatively, 71 minus 68 is 3. Not helpful.
Wait, but maybe another way. Let's see:
Wait, 53*2=106. Then 106 - (68 -35). Let's compute that. 68-35=33. 106-33=73. Oh! Wait, that might work.
Wait, let me check that again. 53 multiplied by 2 is 106. Then subtract (68 minus 35). 68-35 is 33. So 106 -33 equals 73. Yes! And that uses all the numbers: 53, 2, 68, 35. Each exactly once. So the formula would be (53 * 2) - (68 - 35) = 106 - 33 =73. Perfect!
Wait, let me confirm the operations:
53 * 2 =106,
68 -35 =33,
then 106 -33 =73. Yes, that works. And all numbers are used once. So the equation is (53 * 2) - (68 - 35) =73. Alternatively, written as 53*2 - (68-35) =73. So the formula can be written as (53 * 2) - (68 - 35) =73. That should be the correct answer.
{
"formula": '(53 * 2) - (68 - 35)'
}<|im_end|>
|
[
99,
16,
12,
70
] | 33 |
1155
|
{
"formula": '99 - (70 - (16 - 12))'
}
| 868 | 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, 16, 12, 70,
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": '99 - (70 - (16 - 12))'
}<|im_end|>
|
[
2,
82,
71,
46
] | 55 |
1052
|
{
"formula": '82 - (71 - (46 - 2))'
}
| 1,058 | 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, 82, 71, 46,
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": '82 - (71 - (46 - 2))'
}<|im_end|>
|
[
62,
5,
33,
17
] | 56 |
1146
|
{
"formula": '(17 * 5) + 33 - 62'
}
| 3,214 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 62, 5, 33, 17,
target: 56
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 56',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(17 * 5) + 33 - 62'
}<|im_end|>
|
[
88,
96,
48,
70
] | 64 |
993
|
{
"formula": '70 - (48 / (96 - 88))'
}
| 1,540 | 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: 88, 96, 48, 70,
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": '70 - (48 / (96 - 88))'
}<|im_end|>
|
[
61,
20,
99,
86
] | 28 |
1156
|
{
"formula": '(61 - 20) - (99 - 86)'
}
| 818 | 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, 20, 99, 86,
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": '(61 - 20) - (99 - 86)'
}<|im_end|>
|
[
7,
49,
56,
74
] | 88 |
1050
|
{
"formula": '74 + 56 - 49 + 7 = 88'
}
| 1,810 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 7, 49, 56, 74,
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": '74 + 56 - 49 + 7 = 88'
}<|im_end|>
|
[
73,
71,
20,
56
] | 72 |
1048
|
{
"formula": '(73 - 71) * (56 - 20)'
}
| 1,712 | 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, 71, 20, 56,
target: 72
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 72',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(73 - 71) * (56 - 20)'
}<|im_end|>
|
[
76,
50,
71,
84
] | 39 |
1171
|
{
"formula": "(84 - 71) + (76 - 50)"
}
| 722 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 76, 50, 71, 84,
target: 39
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 39',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(84 - 71) + (76 - 50)"
}<|im_end|>
|
[
66,
1,
47,
2
] | 40 |
1149
|
{
"formula": '((66 + 1) - 47) * 2'
}
| 3,008 | 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: 66, 1, 47, 2,
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": '((66 + 1) - 47) * 2'
}<|im_end|>
|
[
99,
42,
49,
64
] | 42 |
1169
|
{
"formula": '(99 - 42) - (64 - 49)'
}
| 1,160 | 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: 99, 42, 49, 64,
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": '(99 - 42) - (64 - 49)'
}<|im_end|>
|
[
43,
43,
65,
20
] | 20 |
902
|
{
"formula": '(43 - 43) * 65 + 20'
}
| 7,864 | 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, 43, 65, 20,
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": '(43 - 43) * 65 + 20'
}<|im_end|>
|
[
11,
29,
54,
42
] | 56 |
1180
|
{
"formula": "(54 - 29) + (42 - 11) = 56"
}
| 1,891 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 11, 29, 54, 42,
target: 56
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 56',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(54 - 29) + (42 - 11) = 56"
}<|im_end|>
|
[
91,
79,
5,
78
] | 85 |
1176
|
{
"formula": '(91 - 79) + (78 - 5)'
}
| 839 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 91, 79, 5, 78,
target: 85
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 85',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(91 - 79) + (78 - 5)'
}<|im_end|>
|
[
59,
18,
86,
46
] | 81 |
1037
|
{
"formula": "(86 - 46) + (59 - 18)"
}
| 2,045 | 124 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 59, 18, 86, 46,
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": "(86 - 46) + (59 - 18)"
}<|im_end|>
|
[
6,
57,
79,
71
] | 71 |
1136
|
{
"formula": '(6 + 57 + 79) - 71'
}
| 5,777 | 123 |
<|im_start|>system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>
<|im_start|>user
You are a countdown game player. You are given a list of numbers and a target number.
Your goal is to use the numbers to reach the target number using the operations '+', '-', '*', '/', '(', ')'.
You can use each number exactly once.
[Input]
numbers: 6, 57, 79, 71,
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": '(6 + 57 + 79) - 71'
}<|im_end|>
|
[
29,
56,
37,
68
] | 54 |
1158
|
{
"formula": '37 + (29 - (68 - 56))'
}
| 1,069 | 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, 56, 37, 68,
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": '37 + (29 - (68 - 56))'
}<|im_end|>
|
[
81,
12,
49,
4
] | 16 |
1157
|
{
"formula": '49 - (81 - (12 * 4))'
}
| 1,125 | 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: 81, 12, 49, 4,
target: 16
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 16',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '49 - (81 - (12 * 4))'
}<|im_end|>
|
[
93,
22,
31,
44
] | 64 |
1178
|
{
"formula": '93 - 31 + (44 / 22)'
}
| 7,565 | 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: 93, 22, 31, 44,
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": '93 - 31 + (44 / 22)'
}<|im_end|>
|
[
20,
49,
9,
14
] | 52 |
1188
|
{
"formula": '49 + (9 - (20 - 14))',
}
| 720 | 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: 20, 49, 9, 14,
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": '49 + (9 - (20 - 14))',
}<|im_end|>
|
[
94,
28,
47,
66
] | 96 |
1073
|
{
"formula": '(94 / 47) + 28 + 66'
}
| 4,655 | 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: 94, 28, 47, 66,
target: 96
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 96',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '(94 / 47) + 28 + 66'
}<|im_end|>
|
[
84,
38,
82,
37
] | 73 |
1174
|
{
"formula": "(37 + 38) - (84 - 82)"
}
| 842 | 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, 38, 82, 37,
target: 73
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 73',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": "(37 + 38) - (84 - 82)"
}<|im_end|>
|
[
60,
83,
85,
75
] | 80 |
1120
|
{
"formula": '83 - (75 / (85 - 60))',
}
| 4,356 | 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, 83, 85, 75,
target: 80
[Output]
You are encouraged to think carefully before you answer. Your final answer should be provided as:
{
"formula": 'an equation that equals 80',
}
<|im_end|>
<|im_start|>assistant
<|im_start|>thinking
<|im_start|>answer
{
"formula": '83 - (75 / (85 - 60))',
}<|im_end|>
|
[
50,
2,
7,
37
] | 69 |
1195
|
{
"formula": '(50 / 2) + 37 + 7'
}
| 981 | 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: 50, 2, 7, 37,
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": '(50 / 2) + 37 + 7'
}<|im_end|>
|
[
14,
58,
59,
54
] | 40 |
1177
|
{
"formula": '(59 - 58) * (54 - 14)'
}
| 994 | 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, 58, 59, 54,
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": '(59 - 58) * (54 - 14)'
}<|im_end|>
|
[
50,
34,
2,
33
] | 65 |
1082
|
{
"formula": "(50 - 34) * 2 + 33"
}
| 3,379 | 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: 50, 34, 2, 33,
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 - 34) * 2 + 33"
}<|im_end|>
|
[
84,
90,
31,
27
] | 64 |
1200
|
{
"formula": "90 - 84 + 31 + 27"
}
| 3,908 | 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, 90, 31, 27,
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": "90 - 84 + 31 + 27"
}<|im_end|>
|
[
54,
42,
3,
52
] | 61 |
1190
|
{
"formula": '52 + (54 - 42 - 3) = 61'
}
| 1,299 | 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, 42, 3, 52,
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": '52 + (54 - 42 - 3) = 61'
}<|im_end|>
|
[
74,
39,
21,
50
] | 64 |
1183
|
{
"formula": '(74 - 39 - 21) + 50'
}
| 1,058 | 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, 39, 21, 50,
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": '(74 - 39 - 21) + 50'
}<|im_end|>
|
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