env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define □, the rules are as follows:
when x is odd, x □ y = abs(y - x - x);
otherwise, x □ y = x + y - y.
and ○, the rules are as follows:
when x and y are both even, x ○ y = abs(x / x) + y;
otherwise, x ○ y = x + y.
The precedence of operations: □ > ** > * = / = % = ○ > + = -。
Parentheses have the highest prior... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 7 ○ 6",
"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y是偶数时，x ○ y = y + x / x * y；
其他情况下，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: 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3",
"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和y的和是偶数时，x ⊙ y = (x + y) ** 5；
其他情况下，x ⊙ y = y + y + x * 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: 10 ☆ 9 ⊙ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8106",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 9 ⊙ 3",
"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 + 2 * y * x;
otherwise, x ◎ y = x * y * x * x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = abs(x * x - y ** x).
The precedence of operations: ⊗ > ◎ > ** > * = / = % > + = -。
Parentheses have the highest priority, and t... | {
"game_data": {
"answer": "384",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊗ 1 * 4 ◎ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 □，规则如下：
当x是偶数时，x □ y = x + y + y；
其他情况下，x □ y = y - y + 1 * x + 1。
和 ☆，规则如下：
当x是偶数时，x ☆ y = x □ y；
其他情况下，x ☆ y = x * x □ 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: 4 □ 8 % 2 ☆ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 8 % 2 ☆ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ☆, the rules are as follows:
when the sum of x and y is even, x ☆ y = 5 - x + y + y * x;
otherwise, x ☆ y = y + 1 * x / abs(x).
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - x * (x ☆ x / y).
The precedence of operations: ☆ > ⊙ > ** > * = / = % > + = -。
Parentheses have the highest ... | {
"game_data": {
"answer": "1.052632",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 7 ☆ 5",
"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 / 5 + 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 ◇ 6 ** 2 ◇ 10
Please fill yo... | {
"game_data": {
"answer": "17.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◇ 6 ** 2 ◇ 10",
"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 = y / y * y - x * y。
和 ☆，规则如下：
实数域上，x ☆ y = y - x * y - x ** x。
和 △，规则如下：
当x小于y时，x △ y = (x ◇ x) + y；
其他情况下，x △ y = 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: 6 ◇ 2 ☆ 6 △ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "492.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◇ 2 ☆ 6 △ 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 = y / x.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = abs(x) - x ** y.
The precedence of operations: ♡ > ** > * = / = % = ⊙ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculate... | {
"game_data": {
"answer": "-60",
"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 x is a multiple of 3, x □ y = y - x + x - y + x;
otherwise, x □ y = x * y * y + x - y.
and ☆, the rules are as follows:
when x is less than y, x ☆ y = x + y / abs(4 + y) * x;
otherwise, x ☆ y = x / 2 * y + 5 * x.
The precedence of operations: □ > ** = ☆ > * = / = % > + =... | {
"game_data": {
"answer": "8500",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 □ 10 ☆ 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 a multiple of 3, x ○ y = y - y / x;
otherwise, x ○ y = y * abs(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 expressio... | {
"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：
实数域上，x ♢ y = y - y * x + 1。
和 ⊕，规则如下：
实数域上，x ⊕ y = x + 5 / y - 4。
和 □，规则如下：
当x和y都是奇数时，x □ y = 5 + y * 4 ♢ 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: 3 ⊕ 3 □ 7 ♢ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-24.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 3 □ 7 ♢ 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 + x - 4 * 4。
和 ⊗，规则如下：
实数域上，x ⊗ y = x - x - y。
和 ○，规则如下：
当y是5的倍数时，x ○ y = abs(x * x) + 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: 6 ⊕ 3 ⊗ 4 ○ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-30",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊕ 3 ⊗ 4 ○ 7",
"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 and y are both even, x ⊗ y = 5 * y + x;
otherwise, 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 expressio... | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 * 10 ⊗ 9",
"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 = y + x + y。
和 ⊗，规则如下：
当x和y都是奇数时，x ⊗ y = y + y + x；
其他情况下，x ⊗ y = 1 + 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 ⊗ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊗ 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:
on the real number field, x ⊕ y = x - y - x.
and □, the rules are as follows:
on the real number field, x □ y = y - y * x ⊕ x.
and △, the rules are as follows:
on the real number field, x △ y = 1 / x ** x / y.
The precedence of operations: △ > ** > * = / = % > + = - = ⊕ = □。
Pa... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 5 □ 4 △ 10",
"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 odd, x ☆ y = x - y - x;
otherwise, x ☆ y = y * abs(x) ** x.
and ◇, the rules are as follows:
when y is even, x ◇ y = y ☆ x;
otherwise, x ◇ y = (x) ** y.
The precedence of operations: ☆ > ** > * = / = % > + = - = ◇。
Parentheses have the highest priority, and the expr... | {
"game_data": {
"answer": "5117",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 5 ◇ 4 - 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
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 = 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 ◇ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 + 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等于y时，x ⊗ y = y - y + y - y / x；
其他情况下，x ⊗ y = x + x - x + abs(y - x)。
和 ◇，规则如下：
实数域上，x ◇ y = y + y - x - y - x。
和 △，规则如下：
当x是5的倍数时，x △ y = (1 - y + x + y)；
其他情况下，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: 7 ⊗ 3 △ 4 ◇ 4 ⊗ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-96",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊗ 3 △ 4 ◇ 4 ⊗ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ◎, the rules are as follows:
when x is a multiple of 5, x ◎ y = (3 - x * y + y);
otherwise, x ◎ y = y - 3 * x.
and ♢, the rules are as follows:
when y is even, x ♢ y = x * y + y;
otherwise, x ♢ y = x + 4 * 3 + y.
The precedence of operations: ** = ◎ > * = / = % = ♢ > + = -。
Parentheses have the highest p... | {
"game_data": {
"answer": "-59.1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 / 10 ♢ 7 * 4 ◎ 9",
"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。
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": "4",
"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_dep... |
logic-v2 | 定义 ⊗，规则如下：
当y是3的倍数时，x ⊗ y = x * y + y - y；
其他情况下，x ⊗ y = x - x - y * x。
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 - 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 ▽ 9 ⊕ 6 ⊗ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2067",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 9 ⊕ 6 ⊗ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define △, the rules are as follows:
when y is even, x △ y = (x) / x / y;
otherwise, x △ y = 3 ** y - x.
and ○, the rules are as follows:
when x is odd, x ○ y = x + 2 / y;
otherwise, x ○ y = x + y * y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y △ x.
The precedence of operations: ** > ... | {
"game_data": {
"answer": "238.0625",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 5 ○ 10 △ 4",
"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 = x - y + y;
otherwise, x ⊗ y = y * y * x * 5.
and ♡, the rules are as follows:
when the sum of x and y is even, x ♡ y = x ⊗ y ** 1;
otherwise, x ♡ y = (x / y).
and ♢, the rules are as follows:
when x is a multiple of 3, x ♢ y = 4 + x + (x * y);
otherwi... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 4 ⊗ 6 ♡ 2 % 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ⊕，规则如下：
当y是5的倍数时，x ⊕ y = y / x - 3 ** y / 3；
其他情况下，x ⊕ y = x / 3 - y。
和 ♡，规则如下：
当x和y的和是奇数时，x ♡ y = abs(x / x - y) ** x；
其他情况下，x ♡ y = y - x + y ⊕ 3。
和 ⊙，规则如下：
当x是3的倍数时，x ⊙ y = abs(y / x) + 1；
其他情况下，x ⊙ y = x + 5 ** 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: 8 ⊕ 3... | {
"game_data": {
"answer": "-78123.904762",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 3 ♡ 5 - 3 ⊙ 1 ⊙ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": n... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = 1 + y - x ** x - x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y * x / (y - y + 2).
and ○, the rules are as follows:
when x is greater than y, x ○ y = 2 - x * x ▽ 4 + y;
otherwise, x ○ y = y + (x * y).
The precedence o... | {
"game_data": {
"answer": "-43708",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊗ 7 ▽ 3 ○ 7",
"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 = y * x + abs(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 △ 1
Please fill your fin... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 1",
"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 = y - x - y;
otherwise, 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: 1 ♢ 1
Plea... | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♢ 1",
"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小于y时，x ⊕ y = y - x + x * x - x；
其他情况下，x ⊕ y = y * 5 - x * 2 / y。
和 △，规则如下：
实数域上，x △ y = y / y - x + 2。
和 ☆，规则如下：
实数域上，x ☆ y = x - x ⊕ 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: 4 △ 5 % 10 ⊕ 7 ☆ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 5 % 10 ⊕ 7 ☆ 9",
"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和y都是奇数时，x △ y = x + y * (x - 2) ** 5；
其他情况下，x △ y = 1 - (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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6",
"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 = y - y / x - y；
其他情况下，x ⊕ y = y - x * y + 3。
和 △，规则如下：
当x是5的倍数时，x △ y = y - (x) * x；
其他情况下，x △ y = y - x + x。
和 ◎，规则如下：
当x等于y时，x ◎ y = x + x * 4 * y；
其他情况下，x ◎ y = 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: 10 ◎ 8 △ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◎ 8 △ 2",
"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 + 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 an... | {
"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 + x。
和 ⊗，规则如下：
当y是3的倍数时，x ⊗ y = y ⊙ 3 * x；
其他情况下，x ⊗ y = y - (x + x)。
和 ♢，规则如下：
当x大于y时，x ♢ y = y - y - x ⊙ y；
其他情况下，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: 3 ⊙ 1 * 9 ♢ 5 ⊗ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-279",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊙ 1 * 9 ♢ 5 ⊗ 6",
"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.
and ◎, the rules are as follows:
when the sum of x and y is odd, x ◎ y = x / y □ x - y;
otherwise, x ◎ y = x + y + y.
The precedence of operations: ** > * = / = % = ◎ > + = - = □。
Parentheses have the highest priority, and the expres... | {
"game_data": {
"answer": "-9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 4",
"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 / 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: 4
Please fill your final ... | {
"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:
when x and y are both even, x ☆ y = y * x + y;
otherwise, x ☆ y = x + y - abs(y).
and ⊕, the rules are as follows:
when x is equal to y, x ⊕ y = abs(x + y);
otherwise, x ⊕ y = 1 - x / y.
The precedence of operations: ☆ > ** > * = / = % = ⊕ > + = -。
Parentheses have the highes... | {
"game_data": {
"answer": "30",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 + 10 ☆ 7 ⊕ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ○，规则如下：
当x等于y时，x ○ y = x * y + y；
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: 7 * 2 ○ 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": "7 * 2 ○ 6 * 1",
"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 = y * 3 ** abs(x) * x - 3.
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: 9
Please fill you... | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9",
"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y是5的倍数时，x ♢ y = x + y；
其他情况下，x ♢ y = abs(x) + y。
和 ⊗，规则如下：
当x是3的倍数时，x ⊗ y = y / x ♢ x；
其他情况下，x ⊗ y = 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: 4 ⊗ 4 ♢ 8 ▽ 6 ♢ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "221",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 4 ♢ 8 ▽ 6 ♢ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ☆, the rules are as follows:
when x is greater than y, x ☆ y = x + x * x - x + y;
otherwise, x ☆ y = y + abs(y * x) + 5 + x.
and ⊗, the rules are as follows:
when the sum of x and y is odd, x ⊗ y = y + x - 3;
otherwise, x ⊗ y = y + x - y ☆ 2.
The precedence of operations: ⊗ > ** > * = / = % > + = - = ☆。
... | {
"game_data": {
"answer": "52",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 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：
当x是3的倍数时，x ♢ y = x - y * x；
其他情况下，x ♢ y = y / x + y。
和 ♡，规则如下：
当x和y都是奇数时，x ♡ y = x * y * (4 * 2 ** y)；
其他情况下，x ♡ y = y + x ♢ x * x。
和 ▽，规则如下：
当y是奇数时，x ▽ y = y + 3 ♡ (y + x + x)；
其他情况下，x ▽ y = 5 * x * 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: 2 ♢ 8 ♡ 8 ▽ 10 ▽... | {
"game_data": {
"answer": "144.000988",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 8 ♡ 8 ▽ 10 ▽ 10",
"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 less than y, x ▽ y = x - y * y;
otherwise, x ▽ 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: 8
... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"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：
当x是偶数时，x ▽ y = (y + x) ⊕ x + y；
其他情况下，x ▽ y = x ** (x - x) + y。
和 ◎，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 ▽ 4 ⊕ 8 ◎ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6.722222",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ▽ 4 ⊕ 8 ◎ 9",
"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 - 2 - 2。
和 ☆，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 = 2 + 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: 1 ♢ 10 ☆ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♢ 10 ☆ 8",
"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 y is even, x □ y = x ** y;
otherwise, x □ y = y - (y / x).
and ♢, the rules are as follows:
when y is a multiple of 3, x ♢ y = x ** y;
otherwise, x ♢ y = x * y + y.
The precedence of operations: □ > ** > * = / = % = ♢ > + = -。
Parentheses have the highest priority, and t... | {
"game_data": {
"answer": "5.833333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♢ 5 / 3 □ 9",
"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 / y + y.
and □, the rules are as follows:
when x and y are both even, x □ y = y - 3 + x ♡ y;
otherwise, x □ y = x * y * x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = (x ♡ y - 4) - x.
The precedence of operations:... | {
"game_data": {
"answer": "394.571777",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 8 □ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 △，规则如下：
当y是3的倍数时，x △ y = x / y * 2；
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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7",
"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 3, x ☆ y = x + y + x;
otherwise, x ☆ y = x / y - 1.
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 t... | {
"game_data": {
"answer": "238",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 8 * 4 ☆ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ◇，规则如下：
当x是3的倍数时，x ◇ y = y * x * y；
其他情况下，x ◇ y = y + 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: 3 - 6 ◇ 7 ◇ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2643",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 - 6 ◇ 7 ◇ 3",
"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 = abs(3 - x + y ** y + y).
and ♡, the rules are as follows:
when x is a multiple of 3, x ♡ y = y / y □ x - 1 + 1;
otherwise, x ♡ y = x * y.
The precedence of operations: ♡ > ** > * = / = % = □ > + = -。
Parentheses have the highest priority, and t... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 6 % 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：
实数域上，x ⊕ y = x + x + y * x - y。
和 ☆，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: 3 ☆ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-14.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 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 = x / y + y.
and ⊙, the rules are as follows:
when x is a multiple of 5, x ⊙ y = x - abs(5 - y) + y;
otherwise, x ⊙ y = 1 + 4 * x / y.
The precedence of operations: ♡ > ** = ⊙ > * = / = % > + = -。
Parentheses have the highest priority, and the ex... | {
"game_data": {
"answer": "20.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 * 5 ♡ 5 ⊙ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 △，规则如下：
当x小于y时，x △ y = x * x / y；
其他情况下，x △ y = y / (y + x) - y。
和 ○，规则如下：
实数域上，x ○ y = (y / y * x) △ y。
和 ◇，规则如下：
当y是奇数时，x ◇ y = x + y - 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: 3 ◇ 5 ○ 10 △ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-48.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 5 ○ 10 △ 9",
"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 = x ** 4 * x + y；
其他情况下，x ○ y = x + 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: 7 ○ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "135",
"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 | 定义 ☆，规则如下：
实数域上，x ☆ y = 1 + x + y * 5。
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 ▽ 4 / 9 % 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "45.083333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ☆ 7 ▽ 4 / 9 % 8",
"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 = 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: 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 | Define △, the rules are as follows:
when x is less than y, x △ y = y - x * y + 5 - y;
otherwise, x △ y = y + abs(x - y - x) + y.
and ⊕, the rules are as follows:
when x is a multiple of 3, x ⊕ y = x + y △ 5 - x;
otherwise, x ⊕ y = y * x * x * y * x.
The precedence of operations: ⊕ > ** > * = / = % > + = - = △。
... | {
"game_data": {
"answer": "12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 9 △ 5 △ 4",
"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 odd, x ○ y = y / x + y;
otherwise, x ○ y = x + y / x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x * 4 ○ x + y.
and □, the rules are as follows:
on the real number field, x □ y = abs(x - y) * y.
The precedence of operations: ... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 1 ○ 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大于y时，x ♡ y = y - x - y；
其他情况下，x ♡ y = x / 3 + 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: 9 ⊙ 4 ♡ 7 ♡ 8 * 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "12.888889",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊙ 4 ♡ 7 ♡ 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 = x - 3 + y * y - x.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x / y - x * y ♢ y.
and △, the rules are as follows:
when y is a multiple of 5, x △ y = x ⊙ x + y;
otherwise, x △ y = x - x - y + y - x.
The precedence of op... | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 9 ⊙ 4 ♢ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ○，规则如下：
当x和y的和是奇数时，x ○ y = x / x + abs(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: 6 ○ 2 ** 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 2 ** 2",
"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 y is even, x ♡ y = abs(y * x) / y;
otherwise, x ♡ y = x + y.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = abs(x + y) + 2 + y.
The precedence of operations: ** = ♡ = ⊗ > * = / = % > + = -。
Parentheses have the highest priority, and the expression insid... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 1 ⊗ 3 - 8 ♡ 4",
"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 = 4 / (4 - y - x) * 4。
和 ⊙，规则如下：
当y是3的倍数时，x ⊙ y = x - y - x * y + y；
其他情况下，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: 1 ◎ 5 ⊙ 10 ⊙ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "88.511628",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◎ 5 ⊙ 10 ⊙ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 △，规则如下：
当x是3的倍数时，x △ y = (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: 10 △ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "250",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 5",
"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 = 1 / x / y.
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 = y - x - y;
otherwise, x ⊙ y = y ⊗ 4 * x.
The precedence of operations: ⊗ = ▽ > ** > * ... | {
"game_data": {
"answer": "-5.982143",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 3 - 1 ⊗ 4 ▽ 6 ▽ 7",
"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 = 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: 8 ◇ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 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：
当x和y的和是偶数时，x ◎ y = x + y + y；
其他情况下，x ◎ y = 2 - 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: 1 ◎ 10 ♢ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◎ 10 ♢ 6",
"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的和是奇数时，x ☆ y = x * 3 + y / y；
其他情况下，x ☆ y = y + x + y + x - x。
和 ⊕，规则如下：
当x和y都是偶数时，x ⊕ y = y * x * y + x ☆ x；
其他情况下，x ⊕ y = y - x * 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: 5 ☆ 4 - 7 ⊕ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-36",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 4 - 7 ⊕ 10",
"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和y都是偶数时，x ♡ y = y + x；
其他情况下，x ♡ y = x * y ** 2。
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: 8 □ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.125",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 8",
"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小于y时，x △ y = x - x + y；
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: 1 △ 7 - 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": "1 △ 7 - 6 - 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 + x / 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 the expression: 2 % 10 △ 7 / 4
Please fill ... | {
"game_data": {
"answer": "0.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 % 10 △ 7 / 4",
"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是偶数时，x ♢ y = y - y / x；
其他情况下，x ♢ y = abs(y * x) / y。
和 ○，规则如下：
实数域上，x ○ y = x / y - y。
和 ⊙，规则如下：
当x是奇数时，x ⊙ y = y / y ** x；
其他情况下，x ⊙ y = 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: 7 ○ 5 ♢ 9 ⊙ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-23.2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 5 ♢ 9 ⊙ 7",
"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。
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 ○ 2 ☆ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "243",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ○ 2 ☆ 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:
on the real number field, x ○ y = x - y * y / 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: 1
Please fill your fina... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"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 = 4 + x * y - y.
and ⊙, 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 = x - (5 + y - x).
The precedence of operations: ☆ > ** > * = / = % = ⊙ > + = - = ◇。
P... | {
"game_data": {
"answer": "25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◇ 10 ⊙ 10",
"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 = y + y - x + abs(x) - 1.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x + 2 ** 5 / y / 1.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y ⊕ 1 - x - 4.
The precedence of operations: ⊙ > ** = ▽ > * = / = ... | {
"game_data": {
"answer": "42.142857",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 10 ⊕ 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都是奇数时，x ◇ y = (x * 5) * y - 4 + x；
其他情况下，x ◇ y = x * 4 * 3 + y - 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: 6 ◇ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "69",
"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：
实数域上，x □ y = y * x。
和 ⊕，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: 5 ⊕ 5 □ 7 / 5 * 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "80",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊕ 5 □ 7 / 5 * 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ◇, the rules are as follows:
when x is even, x ◇ y = x / (x / y * x * x);
otherwise, x ◇ y = 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 the exp... | {
"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 | 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 * x □ y.
The precedence of operations: □ > ** > * = / = % > + = - = ◎。
Parentheses have the highest priority, and the expression inside the parentheses is calculated ... | {
"game_data": {
"answer": "15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 - 2 ◎ 9 + 10 □ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define △, the rules are as follows:
when x is odd, x △ y = y * x;
otherwise, 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 value of the expression: 3 △ 10 △ 1 % 5... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 10 △ 1 % 5",
"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 even, x ⊙ y = y + x + y;
otherwise, x ⊙ y = y + x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = x ⊙ y + y.
and ♡, the rules are as follows:
when x is greater than y, x ♡ y = y + x + y;
otherwise, x ♡ y = x + y ⊙ x.
The precedence ... | {
"game_data": {
"answer": "56",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 4 ♢ 7 ♡ 2",
"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 ** 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: 9 - 6 ○ 3 / 10
Please fill you... | {
"game_data": {
"answer": "3.696845",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 - 6 ○ 3 / 10",
"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 / x ** x * y / 1).
and ⊗, the rules are as follows:
when x and y are both even, x ⊗ y = 4 ⊕ (x * x) + y;
otherwise, x ⊗ y = (3 * 5) * x ⊕ y.
The precedence of operations: ⊕ = ⊗ > ** > * = / = % > + = -。
Parentheses have the highest priority,... | {
"game_data": {
"answer": "0.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 4 * 6 ⊗ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ♡，规则如下：
当x小于y时，x ♡ y = y + y ** 4 / x；
其他情况下，x ♡ y = y * x + 1。
和 ⊕，规则如下：
当x大于y时，x ⊕ y = x / x - y - y；
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: 10 ⊕ 3 ♡ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-49",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 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 = y + x / y；
其他情况下，x ☆ y = x - x / y。
和 ⊙，规则如下：
当x等于y时，x ⊙ y = x * 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: 2 ⊙ 5 ☆ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10.9375",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 5 ☆ 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 = 5 + abs(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
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 | 定义 ⊙，规则如下：
当x是3的倍数时，x ⊙ y = y - x / x；
其他情况下，x ⊙ y = x - y + y。
和 ◇，规则如下：
实数域上，x ◇ y = y ⊙ y / 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 △ 2 ◇ 9 ⊙ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 2 ◇ 9 ⊙ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ⊗, the rules are as follows:
when the sum of x and y is odd, x ⊗ y = 4 * 1 * x - y;
otherwise, x ⊗ y = (y * y + x).
and ⊕, the rules are as follows:
when y is a multiple of 3, x ⊕ y = x ⊗ x + y;
otherwise, x ⊕ y = y + x ** 5 ⊗ 4.
and □, the rules are as follows:
when x is equal to y, x □ y = y ⊗ y / x ... | {
"game_data": {
"answer": "102",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 3 ⊗ 3",
"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 odd, x ⊕ y = x - x / (y);
otherwise, x ⊕ y = y + x * y.
and ♡, 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 + 5.
The precedence of operations: ⊕ > ** > * = / = % = ♡ =... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 % 3 ♡ 9 △ 10 ⊕ 1",
"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。
和 ♢，规则如下：
实数域上，x ♢ y = 5 - 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: 9 ○ 5 ♢ 3 ♢ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5.818519",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ○ 5 ♢ 3 ♢ 10",
"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 - (y)。
和 ▽，规则如下：
当y是3的倍数时，x ▽ y = 2 * x - y；
其他情况下，x ▽ y = y / 4 + x ⊗ 1 + y。
和 ◎，规则如下：
实数域上，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: 9 ▽ 6 ⊗ 7 ◎ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19552.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ▽ 6 ⊗ 7 ◎ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | Define ☆, the rules are as follows:
when x is odd, x ☆ y = y + x - y;
otherwise, x ☆ y = x * y + y.
and ◇, the rules are as follows:
when y is even, x ◇ y = x * x + y;
otherwise, x ◇ y = y * x ** x.
The precedence of operations: ☆ > ** = ◇ > * = / = % > + = -。
Parentheses have the highest priority, and the expr... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 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 x is even, x △ y = 5 - y - x;
otherwise, 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: 4 △ 5
P... | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 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 odd, x ♢ y = x + y + x - y;
otherwise, x ♢ y = x + y * x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x - x / y - y.
and ⊙, the rules are as follows:
when x is a multiple of 5, x ⊙ y = x * 5 * y * x;
otherwise, x ⊙ y = abs(2 + y) ** x - x.
T... | {
"game_data": {
"answer": "1.1e-05",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 1 / 9 ⊙ 9 ♡ 2",
"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 even, x ♢ y = x * x - (y) * x - x;
otherwise, x ♢ y = abs(x * 2) + y + y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x ♢ y - 2 - 5.
and ⊕, the rules are as follows:
when y is even, x ⊕ y = 3 * y + y ◎ x;
otherwise, x ⊕ y = (x ** x) - y.
The... | {
"game_data": {
"answer": "70",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 9 ♢ 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:
when x is odd, x △ y = x - x + y / x;
otherwise, x △ 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: 3 △ 3 ... | {
"game_data": {
"answer": "0.555556",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 3 / 5 △ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = y * y * x + y。
和 ⊗，规则如下：
当x是偶数时，x ⊗ y = y □ x - y + x；
其他情况下，x ⊗ y = x + (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: 8 % 10 □ 4 - 6 ⊗ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-284",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 % 10 □ 4 - 6 ⊗ 8",
"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。
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 = y - x - (y + x).
and ♢, the rules are as follows:
when y is a multiple of 3, x ♢ y = y * x;
otherwise, x ♢ y = y * x - abs(x).
and ◇, the rules are as follows:
on the real number field, x ◇ y = y + x - y.
The precedence of operations: ** = ⊕ ... | {
"game_data": {
"answer": "-45",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♢ 4 ⊕ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
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