env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
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 + 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 ◇ 9 ♢ 7 * 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 9 ♢ 7 * 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 = 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: 2 + 1 - 8 ○ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 + 1 - 8 ○ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ⊕,规则如下:
当x和y都是奇数时,x ⊕ y = x ** x * y;
其他情况下,x ⊕ y = y - y * x。
和 ♡,规则如下:
当x和y的和是奇数时,x ♡ y = y + x;
其他情况下,x ♡ y = abs(x * y) + y。
和 ▽,规则如下:
当x大于y时,x ▽ y = y - y * x;
其他情况下,x ▽ 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: 5 ♡ 8 ⊕ 2 ▽ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 8 ⊕ 2 ▽ 5",
"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和y的和是偶数时,x ◇ y = x - y + x * y;
其他情况下,x ◇ y = 2 - x + 5 * y + 5。
和 ⊕,规则如下:
当x大于y时,x ⊕ y = 3 - y * x ◇ 5 - y;
其他情况下,x ⊕ y = (x) ◇ x + 1 * y * y。
和 ▽,规则如下:
当x和y的和是偶数时,x ▽ y = abs(5 - x - y) - x - y;
其他情况下,x ▽ y = 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... | {
"game_data": {
"answer": "158",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊕ 8 ◇ 10 ▽ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ☆, the rules are as follows:
when x and y are both even, x ☆ y = y / x - y - 5;
otherwise, x ☆ y = abs(2 + x) + y.
and △, the rules are as follows:
on the real number field, x △ y = y * x ☆ y * y.
The precedence of operations: ☆ > ** > * = / = % = △ > + = -。
Parentheses have the highest priority, and the e... | {
"game_data": {
"answer": "6528",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 8 * 1 ☆ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = (x - 2) ** y.
and △, the rules are as follows:
on the real number field, x △ y = y ⊗ y * x.
and ○, the rules are as follows:
when the sum of x and y is odd, x ○ y = abs(x + y);
otherwise, x ○ y = (x) △ x - y.
The precedence of operations: ** ... | {
"game_data": {
"answer": "36864",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 2 △ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ⊙,规则如下:
实数域上,x ⊙ y = x + y - y * y。
和 ⊕,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 = 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: 1 + 10 ▽ 7 ⊙ 5 ⊕ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 + 10 ▽ 7 ⊙ 5 ⊕ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x + 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 the expression: 10 ▽ 3
Please fill your... | {
"game_data": {
"answer": "49",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 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 = x ** x ** 3 - y。
和 ▽,规则如下:
实数域上,x ▽ y = x + y。
和 ♢,规则如下:
实数域上,x ♢ y = 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 ▽ 3 ♢ 1 ⊙ 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 ▽ 3 ♢ 1 ⊙ 2",
"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 + y / abs(x);
其他情况下,x ⊕ y = y + x + x。
和 ⊙,规则如下:
实数域上,x ⊙ y = x - y ⊕ y + 2。
和 △,规则如下:
当x和y都是奇数时,x △ y = 3 / x * y;
其他情况下,x △ y = abs(x + y) + 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: 6 ⊙ 8 / 3 ⊕ 7 △ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.04",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊙ 8 / 3 ⊕ 7 △ 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 = 5 + x ** 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, and the expression inside the parentheses is calculated... | {
"game_data": {
"answer": "16389",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 7 ♡ 2 / 4 / 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 = x / y - 4 - y.
and □, the rules are as follows:
when the sum of x and y is even, x □ y = 1 * x - x ♡ 1 + y;
otherwise, x □ y = y - x * x ♡ y.
The precedence of operations: ** > * = / = % = ♡ > + = - = □。
Parentheses have the highest priority, a... | {
"game_data": {
"answer": "21.555556",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ◇,规则如下:
当y是偶数时,x ◇ y = y ** 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: 2 / 3 ◇ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.002",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 / 3 ◇ 10",
"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5的倍数时,x ☆ y = x / y - x;
其他情况下,x ☆ y = (y + x * x)。
和 ⊗,规则如下:
实数域上,x ⊗ y = 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: 4 ☆ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-3.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ○,规则如下:
当x是3的倍数时,x ○ y = 2 + x - 3 + y;
其他情况下,x ○ y = 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: 9 / 3 ○ 6 % 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 / 3 ○ 6 % 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x是偶数时,x ○ y = y + abs(x);
其他情况下,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
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大于y时,x ♡ y = y + x - x * y / y;
其他情况下,x ♡ y = y - x / 3。
和 ♢,规则如下:
实数域上,x ♢ y = 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: 10 ♡ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ◎, the rules are as follows:
when the sum of x and y is odd, x ◎ y = y - y - x + 3;
otherwise, x ◎ y = x + y.
and ◇, the rules are as follows:
when x is a multiple of 5, x ◇ y = y - 3 / x;
otherwise, x ◇ y = x + x ◎ x * y.
The precedence of operations: ** = ◇ > * = / = % = ◎ > + = -。
Parentheses have the... | {
"game_data": {
"answer": "74",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 4 ◇ 8 ** 1 ◎ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | Define ◎, the rules are as follows:
when y is a multiple of 3, x ◎ y = x / y / y - x + x;
otherwise, x ◎ y = y + x - x / y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x + x ** y - 5 + y.
The precedence of operations: ◎ > ** = ☆ > * = / = % > + = -。
Parentheses have the highest priority, an... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 % 7 ☆ 6 ◎ 2 % 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = x - x + y.
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 the expression inside the parentheses is calculated ... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 4 ♢ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ◎,规则如下:
当x和y都是奇数时,x ◎ y = y * x - y - y;
其他情况下,x ◎ y = x - x * y。
和 ⊙,规则如下:
实数域上,x ⊙ y = 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: 3 ◎ 9 ⊙ 3 ** 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "59049",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 9 ⊙ 3 ** 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 odd, x ◇ y = x - 4 * 3 + y;
otherwise, x ◇ y = x - 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 o... | {
"game_data": {
"answer": "-16380",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◇ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"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:
当x是5的倍数时,x ♡ y = x - y + y;
其他情况下,x ♡ 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: 6 ♡ 5 ⊗ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 5 ⊗ 8",
"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 - x * y + 3。
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: 10 * 8 ◇ 8 ☆ 10 ◇ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-11498",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 * 8 ◇ 8 ☆ 10 ◇ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 □,规则如下:
当x和y的和是偶数时,x □ y = 3 + y + x;
其他情况下,x □ y = 3 / x - 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: 7 - 7 □ 1 ◎ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 - 7 □ 1 ◎ 8",
"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。
和 ○,规则如下:
当y是偶数时,x ○ y = y * x;
其他情况下,x ○ y = x ◎ 2 * 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 ○ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "144",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 4 ○ 9",
"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 the sum of x and y is odd, x ○ y = 1 * 4 * x + y * y;
otherwise, x ○ y = x * y * y * x * x.
The precedence of operations: ** > * = / = % > + = - = ○。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the va... | {
"game_data": {
"answer": "97",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ○ 9",
"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 - 1 * x * y。
和 ◎,规则如下:
实数域上,x ◎ y = 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 ☆ 2 ☆ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "151.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 3 ☆ 2 ☆ 7",
"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 odd, x ☆ y = abs(y * 1 + x);
otherwise, x ☆ y = y - (x ** x - x).
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = (y * y) + x * 1.
The precedence of operations: ** = ☆ = ⊕ > * = / = % > + = -。
Parentheses have the highest priority, and the expressio... | {
"game_data": {
"answer": "15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 2 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define △, the rules are as follows:
when the sum of x and y is odd, x △ y = x - x + y ** x;
otherwise, x △ y = x * 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 ... | {
"game_data": {
"answer": "81",
"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 | 定义 ♢,规则如下:
实数域上,x ♢ y = 2 / y ** x。
和 ⊙,规则如下:
当y是奇数时,x ⊙ y = x - 2 ♢ y;
其他情况下,x ⊙ y = y + x - x。
和 △,规则如下:
当x和y的和是奇数时,x △ y = y - y / 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: 4 △ 7 ⊙ 4 ♢ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.0032",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 7 ⊙ 4 ♢ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"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3的倍数时,x ♢ y = x ▽ x - y * x - x;
其他情况下,x ♢ y = (x + 1 ▽ 2 - 3 + y)。
和 ◎,规则如下:
当x和y都是偶数时,x ◎ y = (y + y / 1) * y - x;
其他情况下,x ◎ y = (x + 1 + y) - 4 * 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 ◎ 8 ♢ 9 ▽ 10 % 10
请将最终答案填入\b... | {
"game_data": {
"answer": "6.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 8 ♢ 9 ▽ 10 % 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 - x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = abs(y / x).
The precedence of operations: ◎ > ** > * = / = % = ⊗ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated... | {
"game_data": {
"answer": "2.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊗ 5",
"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 less than y, x ◎ y = x + x / y + 4 / x;
otherwise, x ◎ y = 2 * 2 - y - x - y.
and □, the rules are as follows:
on the real number field, x □ y = y + y - y ◎ y - x.
The precedence of operations: □ > ** = ◎ > * = / = % > + = -。
Parentheses have the highest priority, and... | {
"game_data": {
"answer": "3.392702",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 6 ◎ 6 □ 10 / 7",
"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都是偶数时,x ♢ y = y - (x + x);
其他情况下,x ♢ y = (y * x)。
和 ⊕,规则如下:
当x小于y时,x ⊕ y = y + x + y;
其他情况下,x ⊕ y = y ♢ 5 + x。
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: 7 ⊕ 10 ♢ 2 ♡ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "118",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 10 ♢ 2 ♡ 10",
"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 = (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 expression: 3
Please fill your final answ... | {
"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:
当x是5的倍数时,x ▽ y = x - y * y - y;
其他情况下,x ▽ y = y + y / 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: 2 * 4 ▽ 4 + 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "47",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 * 4 ▽ 4 + 7",
"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 - 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: 8 ** 3 ▽ 3 / 3
Please fill your... | {
"game_data": {
"answer": "-511",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ** 3 ▽ 3 / 3",
"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 = (x + 1) * y + 5 * 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: 6 △ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "96",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 8",
"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大于y时,x ♡ y = y * y - x;
其他情况下,x ♡ y = y * x ** x。
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: 8 ☆ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "70",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 10",
"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 + 5 / 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 * 5 ○ 9 / 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 * 5 ○ 9 / 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 □,规则如下:
实数域上,x □ y = (y * x - x)。
和 ◎,规则如下:
当y是奇数时,x ◎ y = abs(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: 8 □ 6 ◎ 7 ** 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-3.681799",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 6 ◎ 7 ** 4",
"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 - 5.
and ◎, the rules are as follows:
when x is odd, x ◎ y = y / 5 ** x;
otherwise, x ◎ y = x / y.
and ⊙, the rules are as follows:
when the sum of x and y is odd, x ⊙ y = x + 2 ♢ y;
otherwise, x ⊙ y = x - y / y.
The precedence of ope... | {
"game_data": {
"answer": "-4.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◎ 2 ♢ 2 ⊙ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ♡, the rules are as follows:
when x is less than y, x ♡ y = x - y - y;
otherwise, x ♡ y = x + abs(x + y).
and ♢, the rules are as follows:
on the real number field, x ♢ y = x + 5 * y.
The precedence of operations: ♡ > ♢ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression ins... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♡ 6 ♢ 3 ♢ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ◇,规则如下:
当y是偶数时,x ◇ y = y - y * x - x;
其他情况下,x ◇ y = 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: 3 ◇ 8 - 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 8 - 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ☆,规则如下:
当x大于y时,x ☆ y = 3 * 5 - x - x - y;
其他情况下,x ☆ y = x * (x - y - x + x)。
和 ♢,规则如下:
当x大于y时,x ♢ y = x + y;
其他情况下,x ♢ y = x * y + x + x + y。
和 □,规则如下:
实数域上,x □ 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: 4 □ 10 ♢ 1 ☆ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 10 ♢ 1 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ◎, the rules are as follows:
when the sum of x and y is odd, x ◎ y = x * y / x * x - x;
otherwise, x ◎ y = 2 * x ** y + x + y.
and ♡, the rules are as follows:
when x is less than y, x ♡ y = y / x / x;
otherwise, x ♡ y = x + x ◎ y + x / y.
and △, the rules are as follows:
when x is even, x △ y = 3 + y ... | {
"game_data": {
"answer": "120",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 3 ◎ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | Define ♡, the rules are as follows:
when x is a multiple of 3, x ♡ y = x * x ** y ** y + x;
otherwise, x ♡ y = 1 / 5 + 5 - x * y.
and ⊙, the rules are as follows:
when x is even, x ⊙ y = y + 2 - x ♡ y;
otherwise, x ⊙ y = y + 1 + 3 ♡ 2 * x.
The precedence of operations: ** = ⊙ > * = / = % > + = - = ♡。
Parenthese... | {
"game_data": {
"answer": "-165.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 10 ⊙ 7 * 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y - 5 + x.
and ○, the rules are as follows:
on the real number field, x ○ y = x * y.
and ◎, the rules are as follows:
when y is odd, x ◎ y = y ⊕ x ** y;
otherwise, x ◎ y = y - y - x.
The precedence of operations: ⊕ > ** > * = / = % > + = - = ... | {
"game_data": {
"answer": "-180",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 - 2 + 8 ⊕ 10 ◎ 10 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ♡,规则如下:
当x小于y时,x ♡ y = y - y / x;
其他情况下,x ♡ y = y + x * 2。
和 ⊙,规则如下:
实数域上,x ⊙ y = x ♡ 2 - 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: 3 ⊙ 8 ♡ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊙ 8 ♡ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ◇,规则如下:
实数域上,x ◇ y = 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: 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"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 = x + y + 4;
otherwise, x ⊗ y = 1 * x * y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = abs(y / x) ** y.
and ♡, the rules are as follows:
when x is odd, x ♡ y = x + y - y;
otherwise, x ♡ y = y + x.
The precedence of ope... | {
"game_data": {
"answer": "2.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 5 * 3 * 10 ⊗ 6 ♡ 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 - y - 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 the expression: 5 △ 4 + 7 / 7
Please fi... | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 4 + 7 / 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ⊗,规则如下:
实数域上,x ⊗ y = x - x + y - 5。
和 ⊙,规则如下:
实数域上,x ⊙ y = y - x * x * 3。
和 ◇,规则如下:
实数域上,x ◇ y = x ⊙ 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 ◇ 3 ⊗ 7 ⊙ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1652",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 3 ⊗ 7 ⊙ 6",
"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 = x - 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: 5
Please fill your fina... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5",
"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:
when x and y are both even, x ○ y = x * y - y + x * 5;
otherwise, x ○ y = y * y - x - x.
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": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7",
"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和y都是奇数时,x ◎ y = y + abs(x) * y;
其他情况下,x ◎ y = x * y - y。
和 ♢,规则如下:
实数域上,x ♢ y = x + abs(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: 6 ♢ 4 % 9 ◎ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♢ 4 % 9 ◎ 7",
"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 = 4 - y + y + x。
和 ♢,规则如下:
当x是偶数时,x ♢ y = 1 - x - y;
其他情况下,x ♢ y = x * (x) ** y - y + 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: 5 * 7 ☆ 8 ♢ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 * 7 ☆ 8 ♢ 2",
"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 even, x ☆ y = y + x - y + 2;
otherwise, x ☆ y = x ** y ** 4 * 3.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = x ☆ x + y - x.
and △, the rules are as follows:
on the real number field, x △ y = 1 + y + y - x.
The precedence of operations: △ > ☆ >... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 7 △ 1 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ♡,规则如下:
实数域上,x ♡ y = 5 + x * y。
和 □,规则如下:
当x是3的倍数时,x □ y = x ♡ y + (y);
其他情况下,x □ y = x + 1 * 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 □ 7 ♡ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "230",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 1 □ 7 ♡ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ☆, the rules are as follows:
when x is equal to y, x ☆ y = y + x + x - 2;
otherwise, x ☆ y = x + y + y + 2.
and ⊗, the rules are as follows:
when y is a multiple of 3, x ⊗ y = x - x * y + x;
otherwise, x ⊗ y = 5 / y * y ☆ x.
The precedence of operations: ** > * = / = % = ☆ > + = - = ⊗。
Parentheses have t... | {
"game_data": {
"answer": "-91",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ☆ 1 % 2 ** 9 ⊗ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ⊕, the rules are as follows:
when y is a multiple of 3, x ⊕ y = x + x / y;
otherwise, x ⊕ y = y + y - x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = y - x / x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = x * 1 / y.
The precedence of operations: ⊕ > ** > * = /... | {
"game_data": {
"answer": "0.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊗ 6 ♢ 10 ⊕ 7",
"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 = 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": nu... |
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 = y - x / 4。
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: 2 ◇ 10 ♢ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 10 ♢ 7",
"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y是偶数时,x ○ y = y * x;
其他情况下,x ○ y = 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: 1 ○ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = abs(x - y + x ** 4) + 5.
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 - 10 ◇ 7 - 10
P... | {
"game_data": {
"answer": "-10015",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 - 10 ◇ 7 - 10",
"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小于y时,x ○ y = (y) * y * x + x - y;
其他情况下,x ○ y = y * x * 1 ** (1 * 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = x / y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = 1 + y * x.
The precedence of operations: □ > ** > * = / = % = ◎ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated firs... | {
"game_data": {
"answer": "46",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 3 * 3 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ⊙,规则如下:
当y是3的倍数时,x ⊙ y = 3 + x - y ** 4;
其他情况下,x ⊙ y = y * (4 + y * x)。
和 ▽,规则如下:
实数域上,x ▽ y = x * y - x。
和 ⊕,规则如下:
当x和y的和是偶数时,x ⊕ y = 2 + x ⊙ x - y;
其他情况下,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 ⊙ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "576",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊕ 5 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ☆,规则如下:
当y是3的倍数时,x ☆ y = x + y * x * x + x;
其他情况下,x ☆ y = x + 5 - y - x * 3。
和 ○,规则如下:
当y是奇数时,x ○ y = (y - x * y ☆ y / x);
其他情况下,x ○ y = x + 4 / 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 ○ 5 ☆ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-26",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 5 ☆ 1",
"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 - y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = y - y * x.
and ⊗, the rules are as follows:
when x and y are both odd, x ⊗ y = y + x * y;
otherwise, x ⊗ y = (y ♢ x + x).
The precedence of operations: ** > * = / =... | {
"game_data": {
"answer": "-49",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊗ 6 ◎ 7 ♢ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = abs(x * y + y + y / x).
and ▽, the rules are as follows:
on the real number field, x ▽ y = x + y.
and ♢, the rules are as follows:
on the real number field, x ♢ y = (y - x ▽ y - y) * y.
The precedence of operations: ▽ > ** > * = / = % = ⊕ = ♢ >... | {
"game_data": {
"answer": "-562",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 1 ⊕ 9 ♢ 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的和是偶数时,x ◇ y = 2 / x - y + 2 + 4;
其他情况下,x ◇ y = y - 4 * 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 ◇ 8 * 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-140",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◇ 8 * 7",
"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 = 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: 2 % 1 ▽ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 % 1 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = y - x - y.
and ◎, the rules are as follows:
when y is a multiple of 5, x ◎ y = y □ x * y;
otherwise, x ◎ y = (x + y ** 3).
The precedence of operations: ** > * = / = % = ◎ > + = - = □。
Parentheses have the highest priority, and the expression i... | {
"game_data": {
"answer": "-9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 8 ** 3 ◎ 5 - 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 △,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: 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"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 y is a multiple of 5, x □ y = y + abs(x * x - 3) - y;
otherwise, x □ y = (y - x - y - x).
and ◎, the rules are as follows:
when the sum of x and y is even, x ◎ y = (1 + y + x) + y;
otherwise, x ◎ y = x / y □ y - x.
The precedence of operations: ** = □ = ◎ > * = / = % > +... | {
"game_data": {
"answer": "-31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 9 - 6 ◎ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = y + x - 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: 7 % 7 ○ 4
Please fill y... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 % 7 ○ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ⊕,规则如下:
实数域上,x ⊕ y = y + x - y + x - y。
和 □,规则如下:
当x等于y时,x □ y = y * x ⊕ 3 / 2 - x;
其他情况下,x □ y = abs(y + y - y * x) * y。
和 ☆,规则如下:
实数域上,x ☆ y = x - 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: 7 □ 4 ⊕ 10 ☆ 1 ** 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 4 ⊕ 10 ☆ 1 ** 7",
"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 - y ** 3。
和 ♢,规则如下:
当x和y的和是偶数时,x ♢ y = x ♡ y - x;
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: 10 ♡ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 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 = 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4",
"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 equal to y, x ○ y = abs(y * y) * x;
otherwise, 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 ... | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ○ 4 - 1 - 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ◇,规则如下:
实数域上,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: 5 ◇ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◇ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = (y / x - y).
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 the expression inside the parentheses is calculate... | {
"game_data": {
"answer": "-2.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◇ 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 = 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 = y / abs(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 ⊙ 6 ⊗ 6 ▽ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.214286",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 6 ⊗ 6 ▽ 3",
"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是偶数时,x ☆ y = y + y * x - y;
其他情况下,x ☆ y = x + 1 / y * x。
和 ♡,规则如下:
当x小于y时,x ♡ y = x + y + x - 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: 7 ☆ 2 / 4 ♡ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "33",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ☆ 2 / 4 ♡ 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(y * 1 + y / y ** x).
and ○, the rules are as follows:
when the sum of x and y is even, x ○ y = x + x * x * x - y;
otherwise, x ○ y = x - abs(y ** 2 + 2) * 5.
The precedence of operations: ◎ > ** = ○ > * = / = % > + = -。
Parentheses have the... | {
"game_data": {
"answer": "0.035215",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 / 8 ** 3 ○ 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 y is odd, x ⊙ y = y - x - y;
otherwise, x ⊙ y = (y ** y) + y / x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = y - x ⊙ y.
and ⊗, the rules are as follows:
when x is greater than y, x ⊗ y = x + 2 * y + x;
otherwise, x ⊗ y = (1 - y * y ♡ x).
The pre... | {
"game_data": {
"answer": "93327",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 3 + 2 ♡ 6 ⊗ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ♢, the rules are as follows:
when y is a multiple of 3, x ♢ y = x + 5 ** y;
otherwise, x ♢ y = y - x * y.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = abs(y) / x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x + x * y.
The precedence of operations: ⊗ > ** > * =... | {
"game_data": {
"answer": "-0.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♢ 10 ⊗ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ♡, the rules are as follows:
when the sum of x and y is even, x ♡ y = x / 5 * y * y;
otherwise, x ♡ y = y + abs(x * x).
and △, the rules are as follows:
on the real number field, x △ y = y * y + x + y ♡ x.
The precedence of operations: △ > ** > * = / = % = ♡ > + = -。
Parentheses have the highest priority, ... | {
"game_data": {
"answer": "24.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 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的和是奇数时,x ♡ y = x + y * x;
其他情况下,x ♡ y = y + x - y。
和 ◎,规则如下:
实数域上,x ◎ 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: 2 ◎ 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": "2 ◎ 5 ♡ 2",
"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都是奇数时,x ◎ y = 4 * y - (2) + 4 ** x;
其他情况下,x ◎ y = (y) - x ** x - y * x。
和 ◇,规则如下:
当x是奇数时,x ◇ y = y - y + x * y + y;
其他情况下,x ◇ y = 2 + 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 ◇ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-182",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 4 ◇ 6",
"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 and y are both odd, x ◇ y = y * y * abs(x);
otherwise, x ◇ y = (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 ex... | {
"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 = x - x + y。
和 ◎,规则如下:
实数域上,x ◎ 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: 2 ☆ 8 ◎ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "72",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 8 ◎ 9",
"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y是奇数时,x ◎ y = y * x * y;
其他情况下,x ◎ y = y + x * y。
和 ◇,规则如下:
实数域上,x ◇ 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: 3 ◎ 1 ◇ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "40",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 1 ◇ 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:
实数域上,x ♢ y = (y * 4 + x)。
和 ⊕,规则如下:
当x和y都是偶数时,x ⊕ y = y / x + x;
其他情况下,x ⊕ y = x * y * x + x。
和 ♡,规则如下:
实数域上,x ♡ y = 4 ⊕ 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 ⊕ 10 ♡ 3 ♢ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-145.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊕ 10 ♡ 3 ♢ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 □,规则如下:
当x大于y时,x □ y = x - y - y;
其他情况下,x □ y = y - x + y。
和 ♢,规则如下:
当x是3的倍数时,x ♢ y = y * x;
其他情况下,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: 1 ♢ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♢ 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是奇数时,x ▽ y = x - x - y * x;
其他情况下,x ▽ y = x + (y) / 4 + 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5",
"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:
on the real number field, x ☆ y = x * y + (y).
and ○, the rules are as follows:
on the real number field, x ○ y = x * y + x.
The precedence of operations: ☆ = ○ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculate... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 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是3的倍数时,x ♡ y = x + y - x;
其他情况下,x ♡ y = x - x - 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: 6 ☆ 10 ☆ 6 ♡ 5 / 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ☆ 10 ☆ 6 ♡ 5 / 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
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