env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y + y - 3 * x.
and △, the rules are as follows:
on the real number field, x △ y = 5 - (y + x) - x.
and ◎, the rules are as follows:
when x is a multiple of 3, x ◎ y = x △ y * x;
otherwise, x ◎ y = x - 3 + 2 / y.
The precedence of operations: ... | {
"game_data": {
"answer": "57.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 10 ◎ 10 ⊕ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = x - x + y。
运算优先级：** > * = / = % = ▽ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ▽ 10 - 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 10 - 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = x * y + x + x.
and △, the rules are as follows:
on the real number field, x △ y = 2 - (y) - x.
and ○, the rules are as follows:
on the real number field, x ○ y = abs(5 ** x - y + x - 5).
The precedence of operations: ○ > ** > * = / = % = ⊗ > + ... | {
"game_data": {
"answer": "460",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 3 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = y + y + x + y - y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x + (x ** y + x + 1).
and □, the rules are as follows:
on the real number field, x □ y = 4 + y - x + y.
The precedence of operations: □ > ** = ⊗ = ⊙ > * = / =... | {
"game_data": {
"answer": "47",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊙ 5 □ 1 ⊗ 9 + 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define □, the rules are as follows:
when the sum of x and y is odd, x □ y = y * x + 2 - 3 - 2;
otherwise, x □ y = 5 + 3 + x ** 1 ** y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y □ y * x.
The precedence of operations: ** > * = / = % = ▽ > + = - = □。
Parentheses have the highest priority, ... | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 2 □ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = y + y + x.
and ⊗, the rules are as follows:
when x is less than y, x ⊗ y = x + (x + y);
otherwise, x ⊗ y = x ☆ y.
The precedence of operations: ⊗ > ** > * = / = % > + = - = ☆。
Parentheses have the highest priority, and the expression inside the... | {
"game_data": {
"answer": "21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊗ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = x - y * 2 * y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = 2 / 1 ♡ x + y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x + y + x - y / 3.
The precedence of operations: ** = ♡ = ⊕ = ☆ > * = / = % > + ... | {
"game_data": {
"answer": "23.330131",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 4 ⊕ 10 ☆ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ⊕, the rules are as follows:
when x is a multiple of 5, x ⊕ y = y - x + y - x - y;
otherwise, x ⊕ y = y * y ** x.
and ☆, the rules are as follows:
when x and y are both even, x ☆ y = x * (x * x) * y;
otherwise, x ☆ y = x * y * 2 / abs(x / y).
and ◇, the rules are as follows:
on the real number field, x ◇... | {
"game_data": {
"answer": "619",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 3 - 6 ◇ 6 + 3 ⊕ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define □, the rules are as follows:
when x is greater than y, x □ y = 2 + x * y * y;
otherwise, x □ y = x - 4 + y * 4.
and ♡, the rules are as follows:
when x is greater than y, x ♡ y = y ** y / x □ x;
otherwise, x ♡ y = x - y ** x + x.
The precedence of operations: ** = □ > * = / = % = ♡ > + = -。
Parentheses h... | {
"game_data": {
"answer": "0.000479",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 2 □ 4 ♡ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | 定义 ♡，规则如下：
当x是偶数时，x ♡ y = y * (y) - x - x；
其他情况下，x ♡ y = y + x / y + y + x。
和 △，规则如下：
实数域上，x △ y = x / abs(y) * y。
和 ⊗，规则如下：
当x大于y时，x ⊗ y = y + (x + x △ x - y)；
其他情况下，x ⊗ y = x ** 4 / y ** x △ x。
运算优先级：** = ⊗ > * = / = % = ♡ = △ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 △ 1 / 9 ⊗ 3 / 5 ♡ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2.022222",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 △ 1 / 9 ⊗ 3 / 5 ♡ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = x - x + y。
和 ○，规则如下：
当x和y都是奇数时，x ○ y = x * y ♢ y；
其他情况下，x ○ y = (y * x) + y。
和 ◎，规则如下：
实数域上，x ◎ y = x + (x) - y。
运算优先级：◎ > ** > * = / = % = ♢ = ○ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ♢ 5 ○ 1 ◎ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♢ 5 ○ 1 ◎ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = 1 + 4 - (x + 2) * y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y - x * y + x.
The precedence of operations: ♡ = ⊕ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses ... | {
"game_data": {
"answer": "91",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 8 ⊕ 5 / 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x + y - x - y - x.
and ☆, the rules are as follows:
when y is even, x ☆ y = y * y - (5) / x ◎ 1;
otherwise, x ☆ y = x * y - x ◎ x * x.
The precedence of operations: ◎ > ** = ☆ > * = / = % > + = -。
Parentheses have the highest priority, and the ... | {
"game_data": {
"answer": "34.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◎ 1 ☆ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = x / abs(y / x).
and ◇, the rules are as follows:
on the real number field, x ◇ y = x □ 2 * y.
The precedence of operations: ◇ > ** > * = / = % > + = - = □。
Parentheses have the highest priority, and the expression inside the parentheses is calcul... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 5 / 1 ◇ 5 / 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ○, the rules are as follows:
when x is even, x ○ y = y / x - 3;
otherwise, x ○ y = abs(x + y) + y.
The precedence of operations: ** > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2 **... | {
"game_data": {
"answer": "-2.984375",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ** 6 ○ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ☆，规则如下：
当x和y的和是偶数时，x ☆ y = x - x - y；
其他情况下，x ☆ y = y - x + x。
和 ♢，规则如下：
当x是奇数时，x ♢ y = y * x + y；
其他情况下，x ♢ y = y + y * x。
运算优先级：☆ > ** > * = / = % > + = - = ♢。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ♢ 1 ☆ 3 ☆ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "80",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♢ 1 ☆ 3 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ♡，规则如下：
实数域上，x ♡ y = y + 1 + 1 - y * x。
和 ♢，规则如下：
当x和y都是奇数时，x ♢ y = y - x * y ♡ x + 2；
其他情况下，x ♢ y = x - 2 / x + y - x。
运算优先级：** > * = / = % = ♡ = ♢ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ♢ 8 ♡ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♢ 8 ♡ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | Define □, the rules are as follows:
when x is even, x □ y = y + y + y + x + y;
otherwise, x □ y = 2 * y * x + 5 / 3.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = y + x + y □ x - y.
The precedence of operations: ** = ⊗ > * = / = % = □ > + = -。
Parentheses have the highest priority, and the ex... | {
"game_data": {
"answer": "19233.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 3 * 4 ** 3 ⊗ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,... |
logic-v2 | Define ♡, the rules are as follows:
when x is a multiple of 5, x ♡ y = y + x ** y;
otherwise, x ♡ y = x * y - y.
and ⊙, the rules are as follows:
when x is a multiple of 5, x ⊙ y = x ♡ y * x;
otherwise, x ⊙ y = y - y - x.
The precedence of operations: ** > * = / = % = ♡ = ⊙ > + = -。
Parentheses have the highest... | {
"game_data": {
"answer": "1.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 / 6 ♡ 5 ⊙ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | Define ☆, the rules are as follows:
when the sum of x and y is odd, x ☆ y = y * (x);
otherwise, x ☆ y = x - y - x * y.
and ♢, the rules are as follows:
on the real number field, x ♢ y = 3 / y - x + y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y - y * x.
The precedence of operations: ♢ =... | {
"game_data": {
"answer": "122.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 8 ♢ 4 ☆ 4 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = y ** x / y - x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x * (x - y + y).
The precedence of operations: ◎ > ** > * = / = % > + = - = □。
Parentheses have the highest priority, and the expression inside the parentheses is ... | {
"game_data": {
"answer": "60",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 2 ◎ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 △，规则如下：
当x等于y时，x △ y = x * y - x；
其他情况下，x △ y = abs(x - y) + x。
运算优先级：** > * = / = % > + = - = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 △ 1 - 4 △ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 1 - 4 △ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ☆, the rules are as follows:
when y is a multiple of 5, x ☆ y = y * x + y * 1;
otherwise, x ☆ y = 4 + y + abs(y) - x ** 2.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = x ☆ (y) * y.
The precedence of operations: ** > * = / = % > + = - = ☆ = ⊗。
Parentheses have the highest priority, and... | {
"game_data": {
"answer": "-8830.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 1 ⊗ 1 ☆ 6 / 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = abs(x * y)。
和 ○，规则如下：
实数域上，x ○ y = x * (y ⊗ y)。
和 △，规则如下：
实数域上，x △ y = 3 + y + x。
运算优先级：○ = △ > ⊗ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ⊗ 8 ○ 10 △ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2424",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊗ 8 ○ 10 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = y * abs(x * y) - y。
运算优先级：** = ⊕ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ⊙，规则如下：
当x等于y时，x ⊙ y = 5 * x * y；
其他情况下，x ⊙ y = y + x - y + y + x。
和 ⊕，规则如下：
实数域上，x ⊕ y = (x) + x + x / x - y。
和 ○，规则如下：
实数域上，x ○ y = x * y * x * x + x。
运算优先级：⊕ > ** = ○ > * = / = % > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ⊕ 5 ○ 4 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "32804",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 5 ○ 4 ⊙ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | 定义 △，规则如下：
当x是5的倍数时，x △ y = y ** x + y；
其他情况下，x △ y = x * y + 5 - y。
和 ◎，规则如下：
实数域上，x ◎ y = abs(x + y + x) * x。
和 ⊙，规则如下：
当x和y都是偶数时，x ⊙ y = y - y ** 1 + x；
其他情况下，x ⊙ y = y + x / x ◎ x。
运算优先级：** = △ = ◎ > * = / = % > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 △ 6 ⊙ 9 ◎ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "243.030303",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 △ 6 ⊙ 9 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define △, the rules are as follows:
when x is a multiple of 5, x △ y = x + x - 1 - abs(y);
otherwise, x △ y = x / y + y - 3.
The precedence of operations: ** > * = / = % = △ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of t... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 △ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": ... |
logic-v2 | Define ○, the rules are as follows:
when x is a multiple of 5, x ○ y = x * x - y;
otherwise, x ○ y = x + y.
The precedence of operations: ○ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 8 ... | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 △，规则如下：
当x是3的倍数时，x △ y = x + x * y；
其他情况下，x △ y = y + x。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 % 4 - 5 △ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 % 4 - 5 △ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = y * 4 + 2 + x.
The precedence of operations: ○ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4
Please fill your final an... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - y - x * 3.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x * x - y ⊙ x.
The precedence of operations: ♡ > ** = ⊙ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is cal... | {
"game_data": {
"answer": "62",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y + x + x - y / y。
运算优先级：** = △ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = x * y - y。
和 ▽，规则如下：
实数域上，x ▽ y = x * x + x + y。
和 △，规则如下：
当y是3的倍数时，x △ y = x * y * 1；
其他情况下，x △ y = y / x + y - x。
运算优先级：** > * = / = % > + = - = ⊕ = ▽ = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 △ 3 ▽ 10 ⊕ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "351",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 3 ▽ 10 ⊕ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 □，规则如下：
当x小于y时，x □ y = 3 * y * x * 3 - y；
其他情况下，x □ y = y + y * x + x。
和 ♢，规则如下：
当y是奇数时，x ♢ y = x * y + x □ y - y；
其他情况下，x ♢ y = y * 3 + 1 □ x + y。
运算优先级：♢ > ** > * = / = % > + = - = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 □ 3 ♢ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3408",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 3 ♢ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ○，规则如下：
当x和y都是奇数时，x ○ y = 4 + x / y；
其他情况下，x ○ y = x * (y - x)。
运算优先级：** = ○ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ** 2 ○ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-5751",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ** 2 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = x / y + x + x / y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = 2 - x + x ♢ 1 - y.
and ○, the rules are as follows:
on the real number field, x ○ y = x * x ◎ x * y.
The precedence of operations: ♢ = ○ > ** = ◎ > * = / = % ... | {
"game_data": {
"answer": "133.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 5 ○ 5 ◎ 3 ** 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ○，规则如下：
当x等于y时，x ○ y = y / y / x - y - y；
其他情况下，x ○ y = x * y + (3 - 2) + 2。
和 ⊗，规则如下：
实数域上，x ⊗ y = 2 - y ○ 2 + (x - x)。
和 ☆，规则如下：
当x和y的和是奇数时，x ☆ y = y + x - y + x ⊗ y；
其他情况下，x ☆ y = x + (4 * x - y ○ x)。
运算优先级：** = ☆ > * = / = % = ○ > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ☆ 1 ⊗ 4 % 3 ○ 5
请将最终答案填入\bo... | {
"game_data": {
"answer": "-17",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 1 ⊗ 4 % 3 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = 5 - 5 ** x / y。
和 ◇，规则如下：
实数域上，x ◇ y = x * 2 - y + x。
和 △，规则如下：
实数域上，x △ y = x + y ** 3 ⊗ y。
运算优先级：⊗ > ** = ◇ > * = / = % > + = - = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ⊗ 2 ◇ 5 △ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-927.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 2 ◇ 5 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ◎, the rules are as follows:
when the sum of x and y is even, x ◎ y = x - x + y * 3 ** y;
otherwise, x ◎ y = x - 5 - 4 - y ** abs(5).
and ♢, the rules are as follows:
on the real number field, x ♢ y = x * y - x ** x.
The precedence of operations: ◎ = ♢ > ** > * = / = % > + = -。
Parentheses have the highest... | {
"game_data": {
"answer": "-244",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth... |
logic-v2 | Define ♢, the rules are as follows:
when y is odd, x ♢ y = x + x * x + y;
otherwise, x ♢ y = y + x + 1 - y * y.
and ⊙, the rules are as follows:
when x is less than y, x ⊙ y = x / y * x ♢ 5 + (y);
otherwise, x ⊙ y = y / x + x - x.
and ◎, the rules are as follows:
when the sum of x and y is even, x ◎ y = (y + ... | {
"game_data": {
"answer": "51.875",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 9 ⊙ 8 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x - y + x + x。
和 △，规则如下：
当y是奇数时，x △ y = x + y - y □ y；
其他情况下，x △ y = 3 + y + y - x。
运算优先级：△ > ** > * = / = % = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 % 4 □ 9 △ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 % 4 □ 9 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = 3 + x + x * y。
和 ♡，规则如下：
实数域上，x ♡ y = x + y - y + x。
运算优先级：♡ > ** = ◎ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 ♡ 5 * 1 ◎ 5 / 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "45",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 5 * 1 ◎ 5 / 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | 定义 ◇，规则如下：
当x和y的和是奇数时，x ◇ y = x * y - y - x；
其他情况下，x ◇ y = x * x * y * x - 5。
运算优先级：** = ◇ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 - 9 ◇ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-67",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 - 9 ◇ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | Define ☆, the rules are as follows:
when x is greater than y, x ☆ y = y * (x + 5) + x;
otherwise, x ☆ y = 5 - y - x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y + x ☆ y.
The precedence of operations: ☆ > ** > * = / = % = ◇ > + = -。
Parentheses have the highest priority, and the expression... | {
"game_data": {
"answer": "-11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth... |
logic-v2 | Define ♡, the rules are as follows:
when y is even, x ♡ y = y + x + y;
otherwise, x ♡ y = x * y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x ♡ x - y.
The precedence of operations: ◎ > ** > * = / = % > + = - = ♡。
Parentheses have the highest priority, and the expression inside the parenthe... | {
"game_data": {
"answer": "29.52381",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 3 - 10 / 8 ◎ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = y + x ** x - y。
和 ☆，规则如下：
实数域上，x ☆ y = x □ y - 1。
运算优先级：☆ > ** > * = / = % = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ☆ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = y - y - x * y。
和 ○，规则如下：
实数域上，x ○ y = (y ♢ x / y) + 2。
和 ◇，规则如下：
当y是3的倍数时，x ◇ y = x - (x * x + y)；
其他情况下，x ◇ y = y * abs(y) + x * y。
运算优先级：○ > ** = ♢ = ◇ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ○ 3 + 6 ◇ 7 ♢ 4 / 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-369",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 3 + 6 ◇ 7 ♢ 4 / 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ⊕, the rules are as follows:
when y is even, x ⊕ y = (4) * y + x - y;
otherwise, x ⊕ y = 4 / y * x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = x - y ** y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - x - x ⊕ y.
The precedence of operations: ⊕ = ◇ > ** > *... | {
"game_data": {
"answer": "-19.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 3 ◇ 1 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = y * 5 / x + 3.
and △, the rules are as follows:
when x is a multiple of 5, x △ y = abs(y / x) + y;
otherwise, x △ y = 1 * y + x * y.
and ☆, the rules are as follows:
when x is even, x ☆ y = y + x - x;
otherwise, x ☆ y = y / x.
The precedenc... | {
"game_data": {
"answer": "4.111111",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 8 ☆ 9 ⊗ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - y / x - y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x ⊙ 5 * y + y.
The precedence of operations: ** > * = / = % > + = - = ⊙ = ⊕。
Parentheses have the highest priority, and the expression inside the parentheses is cal... | {
"game_data": {
"answer": "-31.834916",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊕ 2 ⊙ 8 ⊙ 8 - 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 △，规则如下：
当x和y的和是奇数时，x △ y = (y + x * x - y)；
其他情况下，x △ y = x + y ** x + x / y。
运算优先级：** = △ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 * 9 △ 2 - 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "397",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 * 9 △ 2 - 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊙，规则如下：
当x是3的倍数时，x ⊙ y = y + y - x + y - y；
其他情况下，x ⊙ y = x * x * x + x - y。
和 □，规则如下：
当x是偶数时，x □ y = y * x ⊙ 2 - y - y；
其他情况下，x □ y = x * y。
和 ♡，规则如下：
实数域上，x ♡ y = y + y * y * x * y。
运算优先级：♡ > □ > ** > * = / = % > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 □ 2 ⊙ 8 ♡ 2 □ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3366",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 2 ⊙ 8 ♡ 2 □ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ○，规则如下：
当x和y都是奇数时，x ○ y = y * y - x * 1；
其他情况下，x ○ y = 2 - 1 * x - 5 * y。
和 □，规则如下：
当x等于y时，x □ y = x ** y - x；
其他情况下，x □ y = x / y。
和 ◎，规则如下：
实数域上，x ◎ y = y / x * 2。
运算优先级：□ > ** = ○ = ◎ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ◎ 2 □ 4 * 2 ◎ 8 ○ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 2 □ 4 * 2 ◎ 8 ○ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = abs(y - y) * 3 + x.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y - y - x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = 2 * (x - y) - x.
The precedence of operations: ⊗ > ** = ⊙ = ◎ > * = / = % > + =... | {
"game_data": {
"answer": "-30",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 9 ⊙ 1 ◎ 6 ◎ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | 定义 ☆，规则如下：
当x大于y时，x ☆ y = y * y * x；
其他情况下，x ☆ y = x - y - y * x。
和 ▽，规则如下：
当x是偶数时，x ▽ y = x ☆ x - y；
其他情况下，x ▽ y = x + (y - y + y)。
运算优先级：▽ > ** > * = / = % = ☆ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ▽ 4 ☆ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "170",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 4 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y * y + x - y。
运算优先级：** = ◇ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ◇ 1 % 6 % 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 1 % 6 % 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x - 3 + x * y.
and ○, the rules are as follows:
on the real number field, x ○ y = x + x - y.
and ☆, the rules are as follows:
when x is equal to y, x ☆ y = x + y;
otherwise, x ☆ y = (y) * y ** x - y.
The precedence of operations: ⊕ > ○ > ** >... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ○ 1 ⊕ 4 - 6 ☆ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ▽, the rules are as follows:
when x is greater than y, x ▽ y = (x ** x - 2 + y) * x;
otherwise, x ▽ y = y - x + y + y.
The precedence of operations: ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of ... | {
"game_data": {
"answer": "36",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 * 8 + 2 ▽ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ▽, the rules are as follows:
when x and y are both odd, x ▽ y = y + y + (x) - y;
otherwise, x ▽ y = y * x - y ** x.
The precedence of operations: ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the... | {
"game_data": {
"answer": "-226.285714",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ▽ 6 / 7 * 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = abs(x) - y - y - x.
The precedence of operations: ** > * = / = % > + = - = ▽。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 3
Please fill your fin... | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = y - y * x。
运算优先级：** = ▽ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ☆, the rules are as follows:
when x is a multiple of 5, x ☆ y = y - x + x * y * y;
otherwise, x ☆ y = x - y / x.
and ○, the rules are as follows:
when x is greater than y, x ○ y = y / y ☆ x ** y;
otherwise, x ○ y = x * y * 4 + x.
The precedence of operations: ○ > ** > * = / = % = ☆ > + = -。
Parentheses h... | {
"game_data": {
"answer": "3.8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 9 ○ 7 % 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ⊗，规则如下：
当x和y的和是奇数时，x ⊗ y = x + x - y；
其他情况下，x ⊗ y = y + x。
和 ♢，规则如下：
实数域上，x ♢ y = x * y - x。
和 ◎，规则如下：
实数域上，x ◎ y = 4 - x - y。
运算优先级：♢ > ** = ⊗ > * = / = % = ◎ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ◎ 2 ⊗ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 2 ⊗ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = y * x * y * x / x.
and △, the rules are as follows:
on the real number field, x △ y = x * abs(x * y + x - x).
and ▽, the rules are as follows:
on the real number field, x ▽ y = 3 * (y * y * x) / y.
The precedence of operations: △ > ** > * = / =... | {
"game_data": {
"answer": "14112",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 4 △ 1 ♢ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = x + y.
The precedence of operations: ** > * = / = % > + = - = △。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2
Please fill your final answer in ... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = y - y + y + y * x。
运算优先级：** > * = / = % > + = - = ▽。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ▽，规则如下：
当x是3的倍数时，x ▽ y = y * y - 1 - x；
其他情况下，x ▽ y = x + y。
运算优先级：** = ▽ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ▽ 10 / 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 10 / 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 □，规则如下：
当y是偶数时，x □ y = y ** abs(2 ** 3 - 3 * x)；
其他情况下，x □ y = y + x / y + y - y。
和 ♡，规则如下：
实数域上，x ♡ y = 4 / x + y - x □ y。
运算优先级：♡ > ** > * = / = % > + = - = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 □ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | Define ⊕, the rules are as follows:
when y is a multiple of 3, x ⊕ y = y + (x) / x - y * y;
otherwise, x ⊕ y = (2 * y + y + x).
and ◎, the rules are as follows:
when x is odd, x ◎ y = abs(x) - x + x * y * x;
otherwise, x ◎ y = x - x ⊕ y - x * x.
and ⊗, the rules are as follows:
when y is a multiple of 3, x ⊗ y ... | {
"game_data": {
"answer": "45125",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊕ 5 ◎ 1 ⊗ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x + y.
The precedence of operations: ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 3 / 9 / 8 ▽ 6
Please fill your fina... | {
"game_data": {
"answer": "0.02381",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 / 9 / 8 ▽ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 △，规则如下：
当x是3的倍数时，x △ y = x + y / x；
其他情况下，x △ y = x + y + y。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 △ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = y - x + y。
和 ◇，规则如下：
实数域上，x ◇ y = y * x。
运算优先级：◇ > ** > * = / = % = ◎ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ◇ 8 ◎ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 8 ◎ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = x + y。
和 ▽，规则如下：
实数域上，x ▽ y = x + y * y。
和 □，规则如下：
实数域上，x □ y = x * y + y。
运算优先级：□ > ** = ♢ = ▽ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ♢ 4 □ 6 ▽ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "68",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 4 □ 6 ▽ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ○, the rules are as follows:
when x is equal to y, x ○ y = y - y + y / (x) ** x;
otherwise, x ○ y = 1 / y * x / y - 1.
The precedence of operations: ** > * = / = % > + = - = ○。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of ... | {
"game_data": {
"answer": "-7.68",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ○ 5 - 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define □, the rules are as follows:
when x is even, x □ y = x - 2 * y;
otherwise, x □ y = x + y - y / y + x.
The precedence of operations: □ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 3... | {
"game_data": {
"answer": "25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 8 + 5 + 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = 4 * y + x + 1.
The precedence of operations: ** > * = / = % = ▽ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4 ▽ 7
Please fill your fina... | {
"game_data": {
"answer": "33",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = 1 + (y) + x。
和 ♢，规则如下：
实数域上，x ♢ y = x * abs(y) + x。
运算优先级：♢ > ** > * = / = % > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 + 10 ♢ 10 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "120",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 + 10 ♢ 10 ◎ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = y + y - x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = y ♡ x.
The precedence of operations: ♡ = ♢ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated firs... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 / 9 ♢ 5 ♡ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ◇, the rules are as follows:
when x is less than y, x ◇ y = x - x - y ** x - x;
otherwise, x ◇ y = y + x - x + x + y.
The precedence of operations: ** > * = / = % = ◇ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of t... | {
"game_data": {
"answer": "13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ♢，规则如下：
当x和y的和是偶数时，x ♢ y = y / x * y ** x + x；
其他情况下，x ♢ y = x - x + y * y + y。
和 ⊙，规则如下：
当x和y的和是奇数时，x ⊙ y = y * x + y；
其他情况下，x ⊙ y = (x + y) * x。
和 □，规则如下：
当x是5的倍数时，x □ y = x + x * y - y；
其他情况下，x □ y = y * x ♢ x - x / x。
运算优先级：♢ > ** = ⊙ = □ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 □ 3 ⊙ 3... | {
"game_data": {
"answer": "39.1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 3 ⊙ 3 ♢ 2 / 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x + y + (y) + y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y + y - x - 5.
The precedence of operations: ** = ◎ = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is c... | {
"game_data": {
"answer": "-12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 % 5 ◎ 3 ▽ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = x + x - y。
和 ♡，规则如下：
实数域上，x ♡ y = x + y + 2。
和 ♢，规则如下：
当x是偶数时，x ♢ y = x * x * (y)；
其他情况下，x ♢ y = y + x。
运算优先级：⊙ > ** = ♢ > * = / = % > + = - = ♡。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ♡ 9 ♢ 5 ⊙ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 9 ♢ 5 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = x + x * y + x + x。
和 ◎，规则如下：
实数域上，x ◎ y = 3 / (y ⊕ x)。
和 △，规则如下：
当y是奇数时，x △ y = y ◎ y * x + y + y；
其他情况下，x △ y = abs(x * y - y + 4 + 3)。
运算优先级：△ > ◎ > ** > * = / = % = ⊕ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 △ 7 ⊕ 2 ◎ 1 △ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "44.689575",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 7 ⊕ 2 ◎ 1 △ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ⊗，规则如下：
当y是偶数时，x ⊗ y = x / y；
其他情况下，x ⊗ y = x * y * x。
和 ♡，规则如下：
实数域上，x ♡ y = x + y / y。
和 ◇，规则如下：
当x是偶数时，x ◇ y = y ♡ 3 * x；
其他情况下，x ◇ y = y + y * x。
运算优先级：** = ⊗ > * = / = % = ◇ > + = - = ♡。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ◇ 2 ⊗ 3 ◇ 6 ♡ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 2 ⊗ 3 ◇ 6 ♡ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ♢，规则如下：
当x是偶数时，x ♢ y = (y * x)；
其他情况下，x ♢ y = y - x ** y - 5。
和 □，规则如下：
当x是偶数时，x □ y = x + 4 * y + 1；
其他情况下，x □ y = x - y * y * y。
和 ☆，规则如下：
当x是奇数时，x ☆ y = y + x + y + x；
其他情况下，x ☆ y = (y * y + x) + 3。
运算优先级：□ > ** > * = / = % > + = - = ♢ = ☆。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ☆ 9 ♢ 9 □ 1
请将最终答案填入\boxed{... | {
"game_data": {
"answer": "736",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 9 ♢ 9 □ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = y - x - 3 - y。
和 △，规则如下：
实数域上，x △ y = x + abs(y - y)。
和 ⊙，规则如下：
实数域上，x ⊙ y = x + y - x。
运算优先级：⊙ > ** = △ > * = / = % > + = - = ⊕。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 ⊙ 6 △ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 6 △ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = x * y + (1 * 3)。
和 ☆，规则如下：
实数域上，x ☆ y = x - y - x + 3。
运算优先级：☆ > ** > * = / = % = ◎ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ◎ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 □，规则如下：
当y是5的倍数时，x □ y = x - x + x + y * y；
其他情况下，x □ y = y * x + abs(3 - 3)。
和 ▽，规则如下：
实数域上，x ▽ y = 2 - 3 + (y + x)。
运算优先级：▽ > ** > * = / = % = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ▽ 10 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "44",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 10 □ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = x / y - x - y.
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 7 ◇ 3
Please fill your fina... | {
"game_data": {
"answer": "-7.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◇ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ⊕, the rules are as follows:
when y is a multiple of 3, x ⊕ y = y + 1 - y - x ** x;
otherwise, x ⊕ y = 3 * y / x - 2.
and ♡, the rules are as follows:
when x is odd, x ♡ y = x ⊕ y * 1 / x - x;
otherwise, x ♡ y = x + y / x.
and ▽, the rules are as follows:
when x is a multiple of 5, x ▽ y = 5 / 2 - y - ... | {
"game_data": {
"answer": "-5.972973",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 8 ⊕ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = abs(y + x)。
和 ▽，规则如下：
实数域上，x ▽ y = (y * x)。
运算优先级：◎ > ** > * = / = % = ▽ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ◎ 8 ▽ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "80",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 8 ▽ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ☆，规则如下：
当x和y的和是奇数时，x ☆ y = x - x * 5 + y / y；
其他情况下，x ☆ y = y / x - x - y * 5。
和 ⊕，规则如下：
实数域上，x ⊕ y = y + x / abs(x * x + x)。
运算优先级：☆ > ** > * = / = % = ⊕ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ☆ 3 ⊕ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8.973684",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 3 ⊕ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = abs(x - y - x * 1)。
运算优先级：** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 * 9 ○ 8 ○ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 * 9 ○ 8 ○ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = abs(x) * x + x * y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = (y + 4) * y * x.
The precedence of operations: ▽ > ** > * = / = % > + = - = ♡。
Parentheses have the highest priority, and the expression inside the parentheses... | {
"game_data": {
"answer": "555",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 9 ▽ 1 + 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = 2 - y + x * 4。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 - 2 △ 7 △ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 - 2 △ 7 △ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = abs(x) / y + y.
The precedence of operations: ** > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4
Please fill your final a... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ♡，规则如下：
当x是偶数时，x ♡ y = y - (4 * 4 - x) + x；
其他情况下，x ♡ y = y - y * abs(y / x) - x。
和 ⊙，规则如下：
当x是偶数时，x ⊙ y = (x * x) - 2 ♡ x * y；
其他情况下，x ⊙ y = y - x * y - x ♡ x。
运算优先级：⊙ > ** > * = / = % = ♡ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ⊙ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "42",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊙ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 △，规则如下：
当x是奇数时，x △ y = x - 4 - y + y；
其他情况下，x △ y = y / y ** y / x。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ** 1 △ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.00463",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ** 1 △ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 ◎，规则如下：
当x等于y时，x ◎ y = y * abs(x - x - 4)；
其他情况下，x ◎ y = 2 - x - y / (1)。
和 ▽，规则如下：
当x等于y时，x ▽ y = 1 ** y - x * x；
其他情况下，x ▽ y = 2 ◎ x * y * 2。
和 ☆，规则如下：
当x是5的倍数时，x ☆ y = (y + x ▽ x) - 4；
其他情况下，x ☆ y = x ◎ (y * y)。
运算优先级：◎ > ▽ > ** > * = / = % = ☆ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ☆ 5 ◎ 2 / 7 ▽... | {
"game_data": {
"answer": "0.6875",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 5 ◎ 2 / 7 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
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