env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = y * x + y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = y + y + x.
and △, the rules are as follows:
on the real number field, x △ y = x - x - x ⊙ y.
The precedence of operations: △ > ** = ◎ > * = / = % > + = - = ⊙。
Parenth... | {
"game_data": {
"answer": "-160",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊙ 7 △ 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：
实数域上，x △ y = abs(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: 9 - 6 % 7 △ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 - 6 % 7 △ 2",
"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等于y时，x ♢ y = x * y + x * 5；
其他情况下，x ♢ y = y * x + y。
和 ⊗，规则如下：
实数域上，x ⊗ y = x - x ♢ y。
和 ⊕，规则如下：
实数域上，x ⊕ y = x * y - 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 / 4 ⊕ 1 ♢ 5 ⊗ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-63",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 / 4 ⊕ 1 ♢ 5 ⊗ 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和y都是奇数时，x □ y = x - y + y；
其他情况下，x □ y = y + y + y * x。
和 ○，规则如下：
当x是奇数时，x ○ y = (x - 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: 5 ○ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"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:
when the sum of x and y is odd, x ○ y = y ** x * 5 * y;
otherwise, x ○ y = (y) + x * y - y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x - x - y - x.
The precedence of operations: ** > * = / = % = ○ = ☆ > + = -。
Parentheses have the highest priority, and... | {
"game_data": {
"answer": "0.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ☆ 9 ○ 7 / 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ○, the rules are as follows:
when x is greater than y, x ○ y = y + x + y + x + y;
otherwise, x ○ y = y - y + x - x * x.
and ⊙, the rules are as follows:
when x is even, x ⊙ y = x / 5 + y + y / y;
otherwise, x ⊙ y = y - 3 + y * x - x.
and ▽, the rules are as follows:
when y is a multiple of 5, x ▽ y = x... | {
"game_data": {
"answer": "-88.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 10 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ○, the rules are as follows:
when y is a multiple of 3, x ○ y = abs(y * 4) + x;
otherwise, x ○ y = 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 e... | {
"game_data": {
"answer": "49.714286",
"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_... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = x - (x - y + x) * x。
和 ▽，规则如下：
当y是奇数时，x ▽ y = y ☆ y / x；
其他情况下，x ▽ y = 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: 5 ☆ 5 ▽ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4.000476",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 5 ▽ 4",
"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的和是偶数时，x ○ y = y - x - x；
其他情况下，x ○ y = x - abs(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: 5 ○ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define △, the rules are as follows:
when x is greater than y, x △ y = 1 / (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 expressio... | {
"game_data": {
"answer": "6.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 4",
"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大于y时，x ◇ y = y + y / x；
其他情况下，x ◇ y = x - x - y + y - y。
运算优先级：◇ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4
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:
on the real number field, x □ y = x * abs(x) - y - y / x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = x - y + 2 □ y.
The precedence of operations: ** = ⊗ > * = / = % = □ > + = -。
Parentheses have the highest priority, and the expression inside the parenthes... | {
"game_data": {
"answer": "143.119565",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 1 □ 1 ⊗ 6",
"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 + y / y - x.
and □, the rules are as follows:
on the real number field, x □ y = 5 / x ⊙ y * x * 4.
and ☆, the rules are as follows:
when the sum of x and y is even, x ☆ y = y - y - x;
otherwise, x ☆ y = y + abs(y) / x.
The precedence of... | {
"game_data": {
"answer": "-7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 1 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ◇，规则如下：
当x和y的和是偶数时，x ◇ y = (x * y) + 4；
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: 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y是偶数时，x ◎ y = y + x - x + y * 2；
其他情况下，x ◎ y = y * y * x ** x * x。
和 ♡，规则如下：
当x和y的和是奇数时，x ♡ y = x + x * y + x ◎ x；
其他情况下，x ♡ y = 4 / y ◎ (x + x + 5)。
运算优先级：** = ◎ > * = / = % = ♡ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ◎ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "81",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 1",
"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(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: 2 % 9 △ 1 * 5
Please fill ... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 % 9 △ 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 is equal to y, x ☆ y = y ** 4 / (3 + 1) ** x;
otherwise, x ☆ y = y * y * x - y * x.
and ⊕, the rules are as follows:
when x is even, x ⊕ y = 3 * x / y + 1 ☆ 5;
otherwise, x ⊕ y = y - x * (3) ☆ y.
The precedence of operations: ⊕ > ** > * = / = % = ☆ > + = -。
Parentheses... | {
"game_data": {
"answer": "-44856",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊕ 7 ☆ 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x小于y时，x △ y = y - x + y；
其他情况下，x △ y = y ** y + x。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 △ 2 % 4 + 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 2 % 4 + 8",
"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 - x - (y + x) * y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y - x + y * y ♢ y.
and △, the rules are as follows:
on the real number field, x △ y = abs(2 / x - x) / x - y.
The precedence of operations: △ > ** > * = / =... | {
"game_data": {
"answer": "190.125",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♢ 9 ⊕ 6 % 3 ⊕ 2 △ 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 * y)。
和 ☆，规则如下：
当y是偶数时，x ☆ y = abs(x - x) - y；
其他情况下，x ☆ y = y - y / 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。
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 ○ 7 ☆ 5 ♢ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "24.553571",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ○ 7 ☆ 5 ♢ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | 定义 ◇，规则如下：
当y是奇数时，x ◇ y = abs(y / x)；
其他情况下，x ◇ y = 3 * 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 ** y - x - x.
and ◇, the rules are as follows:
when x is odd, x ◇ y = y / x / y ♢ x;
otherwise, x ◇ y = (x) / y - 2.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x + y ♢ y - x.
The precedence of operations: ◇ > ** = ♢ ... | {
"game_data": {
"answer": "46655.515152",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 8 ♢ 6",
"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 + x * y。
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 ♡ 6 ♢ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "270",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♡ 6 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | Define ⊕, the rules are as follows:
when y is a multiple of 5, x ⊕ y = y + y - y * 5 + x;
otherwise, x ⊕ y = abs(y * 4) - x.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y * y - x + x * x.
The precedence of operations: ⊙ > ** > * = / = % > + = - = ⊕。
Parentheses have the highest priority, an... | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊙ 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:
on the real number field, x ▽ y = x / abs(y) + y.
and ◇, the rules are as follows:
when x is a multiple of 5, x ◇ y = y / y - y + x + x;
otherwise, x ◇ y = y / y + y * x + x.
The precedence of operations: ** > * = / = % = ▽ > + = - = ◇。
Parentheses have the highest priority, an... | {
"game_data": {
"answer": "41",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 3 ◇ 7",
"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和y的和是奇数时，x ⊕ y = y - x + x；
其他情况下，x ⊕ y = y + y + x。
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 - 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 ⊕ 4 ○ 4 ⊙ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 3 ⊕ 4 ○ 4 ⊙ 1",
"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 * 2 - y.
and △, the rules are as follows:
on the real number field, x △ y = 2 + 2 + y * x - x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y + x + 2.
The precedence of operations: △ = ◇ > ** > * = / = % > + = - ... | {
"game_data": {
"answer": "-158",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 1 △ 9 □ 2",
"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 = y + y * x.
and ⊙, the rules are as follows:
when the sum of x and y is even, x ⊙ y = y / 5 ** x;
otherwise, x ⊙ y = abs(x) + y - x.
and ○, the rules are as follows:
when x is even, x ○ y = (5 ◎ x ** y);
otherwise, x ○ y = y * y + x.
The pre... | {
"game_data": {
"answer": "88",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 3 ◎ 1 ⊙ 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x大于y时，x ♢ y = y + x - y + x；
其他情况下，x ♢ y = y + x + y - 2。
和 ⊗，规则如下：
实数域上，x ⊗ y = 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: 5 ♢ 6 ⊕ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♢ 6 ⊕ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ○, the rules are as follows:
when y is a multiple of 5, x ○ y = y + x + y;
otherwise, x ○ y = x - 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 expres... | {
"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：
当x等于y时，x ◇ y = 1 - 1 - 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
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 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y - x + x + y - y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x ⊕ y + x * x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = y * x / x + 5 / 2.
The precedence of operations: ⊕ > ** = ⊗ > * = / = % > + ... | {
"game_data": {
"answer": "64.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊗ 5 ◎ 1 ⊕ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define □, the rules are as follows:
when y is odd, x □ y = x - abs(x - y * 4 - y);
otherwise, x □ y = y - x * x * y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x * y ** x - y + x.
The precedence of operations: ** = ⊕ > * = / = % = □ > + = -。
Parentheses have the highest priority, and the e... | {
"game_data": {
"answer": "-43",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 % 8 ⊕ 1 □ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊗，规则如下：
当y是奇数时，x ⊗ y = y + x；
其他情况下，x ⊗ y = y * x / y + y。
和 ☆，规则如下：
实数域上，x ☆ y = x + x / y ⊗ x。
和 ▽，规则如下：
实数域上，x ▽ y = x - abs(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: 6 ** 1 ▽ 4 ☆ 1 ⊗ 10 * 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-116",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ** 1 ▽ 4 ☆ 1 ⊗ 10 * 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ◎, the rules are as follows:
when y is odd, x ◎ y = x + (1) - y + x;
otherwise, x ◎ y = y * x * (y) * x.
and ♡, the rules are as follows:
when x is greater than y, x ♡ y = y ◎ x - y + x;
otherwise, x ♡ y = abs(x ** 1) * x - y.
The precedence of operations: ** = ♡ > * = / = % > + = - = ◎。
Parentheses have... | {
"game_data": {
"answer": "4590.480719",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 4 / 9 ◎ 9 ♡ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ○，规则如下：
当x和y都是奇数时，x ○ y = y - (x - x)；
其他情况下，x ○ y = 2 * 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: 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：
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: 6 △ 1 - 2 * 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 1 - 2 * 4",
"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 - 3。
和 ◇，规则如下：
实数域上，x ◇ y = x / y △ y。
和 ♢，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 = 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 - 10 ♢ 10 △ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-183",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 1 - 10 ♢ 10 △ 2",
"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 / y。
和 □，规则如下：
实数域上，x □ y = x + y + x。
和 ◇，规则如下：
当y是偶数时，x ◇ y = x * 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: 1 □ 9 ◇ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "42.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 □ 9 ◇ 2",
"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5的倍数时，x ◇ y = x * abs(x) + y + y * 2；
其他情况下，x ◇ y = x + x + y / 5 - 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: 9 % 5 ◇ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 % 5 ◇ 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:
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 first.
Please calculate the value of the expression: 2
Please fill your final answe... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = y + x。
和 ♢，规则如下：
当y是3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 = 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 △ 5 ♢ 4 ◎ 10 + 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10016",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 5 ♢ 4 ◎ 10 + 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ♡，规则如下：
当x小于y时，x ♡ y = y / x * 3；
其他情况下，x ♡ y = x + x + (y - y)。
和 ◎，规则如下：
当y是偶数时，x ◎ y = y ♡ (x)；
其他情况下，x ◎ y = x + y / y ♡ y。
运算优先级：♡ > ◎ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ♡ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "13.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 9",
"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3的倍数时，x ♢ y = x + x - y * y * x；
其他情况下，x ♢ y = y + x。
和 ♡，规则如下：
实数域上，x ♡ y = y - x * y + x * y。
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 - x * 4 - 5 - 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: 7 ⊕ 2 ♢ 8 / 4 ⊕ 4 ♡ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.625",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 2 ♢ 8 / 4 ⊕ 4 ♡ 8",
"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 equal to y, x ⊙ y = (x - y - y);
otherwise, x ⊙ 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:
on the real number field, x ♡ y = x + (y + y).
The precedence of operations: ♡ > ⊙ > ** > * =... | {
"game_data": {
"answer": "0.421053",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 6 ⊙ 8",
"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 = y + x - x。
和 ⊙，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 = x ⊙ y - y；
其他情况下，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: 4 ♢ 5 ♡ 5 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 5 ♡ 5 ⊙ 4",
"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 = y / 5 - x。
和 ○，规则如下：
实数域上，x ○ y = x - y - x。
和 △，规则如下：
实数域上，x △ y = x / 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: 7 △ 4 ○ 10 △ 6 ⊙ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "15.12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 4 ○ 10 △ 6 ⊙ 3",
"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 = abs(x / y - x) - y + y；
其他情况下，x ⊗ y = y + y + x。
和 ◎，规则如下：
实数域上，x ◎ y = (x ⊗ y) + x。
和 ◇，规则如下：
实数域上，x ◇ y = 1 - 1 ◎ y - 3 + x。
运算优先级：** > * = / = % = ⊗ = ◇ > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ⊗ 4 ◇ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊗ 4 ◇ 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 * y).
and ⊙, the rules are as follows:
when x and y are both even, x ⊙ y = y - x * y * y;
otherwise, x ⊙ y = y - x - 5 - x.
The precedence of operations: ** > * = / = % = ☆ = ⊙ > + = -。
Parentheses have the highest priority, and the ... | {
"game_data": {
"answer": "-19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊙ 4",
"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 - abs(x * y)。
和 ◎，规则如下：
实数域上，x ◎ y = y ⊕ x。
和 ⊗，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 ⊗ 4 ⊕ 1 ◎ 9 ⊗ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-221",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 4 ⊕ 1 ◎ 9 ⊗ 2",
"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 + y。
和 ♡，规则如下：
当x是奇数时，x ♡ y = abs(y) * x + x；
其他情况下，x ♡ y = y ⊕ x。
和 ◎，规则如下：
当x大于y时，x ◎ y = x * y * y；
其他情况下，x ◎ y = y + 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: 7 ⊕ 4 ♡ 2 ◎ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1627",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 4 ♡ 2 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 ◇，规则如下：
当x等于y时，x ◇ y = x - x + y；
其他情况下，x ◇ y = y + x / x * x。
运算优先级：** > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ◇ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◇ 6",
"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 = abs(x / y * x)。
和 ▽，规则如下：
实数域上，x ▽ y = (3 + 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 □ 2 - 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 2 □ 2 - 3",
"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 ** 4 * 1)。
和 ⊗，规则如下：
当x是5的倍数时，x ⊗ y = y * 1 + y / y ⊙ x；
其他情况下，x ⊗ y = y * x / x - y - (y)。
和 ▽，规则如下：
实数域上，x ▽ y = 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: 3 % 7 ⊙ 7 ⊗ 10 ▽ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 % 7 ⊙ 7 ⊗ 10 ▽ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
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) + x + y。
和 △，规则如下：
实数域上，x △ y = x - y ⊙ y * y。
和 ♢，规则如下：
当y是3的倍数时，x ♢ y = y △ x + 5；
其他情况下，x ♢ y = x + y - 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: 4 ⊙ 6 △ 1 % 9 ♢ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-43208",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 6 △ 1 % 9 ♢ 9",
"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。
和 ◎，规则如下：
当x和y的和是奇数时，x ◎ y = x - 3 + x + y；
其他情况下，x ◎ y = 2 / x * y ♢ y * y。
和 ☆，规则如下：
实数域上，x ☆ y = x + y + 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: 9 ☆ 9 ◎ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "47",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ☆ 9 ◎ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x + y + x。
和 ⊗，规则如下：
当y是奇数时，x ⊗ y = y □ x + y + 3；
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: 10 * 5 □ 7 ⊗ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "350",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 * 5 □ 7 ⊗ 5",
"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大于y时，x ▽ y = y - x * (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: 1 ▽ 1 * 7 + 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 1 * 7 + 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊕，规则如下：
当x是3的倍数时，x ⊕ y = y / x * 2；
其他情况下，x ⊕ y = 4 + x + y。
和 ⊗，规则如下：
当x大于y时，x ⊗ y = x - y / y；
其他情况下，x ⊗ y = x ⊕ y * 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: 10 ⊗ 8 ⊕ 8 / 10 ◇ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "74",
"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,
"n... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y / x / x - 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: 10 △ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.57",
"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_dep... |
logic-v2 | Define △, the rules are as follows:
on the real number field, 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 expression: 6 / 5 * 2 △ 8
Please fi... | {
"game_data": {
"answer": "-66.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 / 5 * 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：
实数域上，x ♢ y = x + y。
和 ○，规则如下：
实数域上，x ○ y = x + (y)。
和 ◎，规则如下：
当x和y的和是偶数时，x ◎ y = 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: 5 ○ 8 ◎ 6 ♢ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 8 ◎ 6 ♢ 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 = y - y + x + 2。
和 ○，规则如下：
当x小于y时，x ○ y = x * y * (y) + y；
其他情况下，x ○ y = 1 * y - y + x。
和 ▽，规则如下：
实数域上，x ▽ y = y ⊕ x。
运算优先级：▽ > ⊕ > ** = ○ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ⊕ 9 * 3 ○ 5 ▽ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1600",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊕ 9 * 3 ○ 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 = y - x + 3 + y.
and ○, the rules are as follows:
on the real number field, x ○ y = y ◎ y ** x + y.
The precedence of operations: ** > * = / = % = ◎ > + = - = ○。
Parentheses have the highest priority, and the expression inside the parentheses is ca... | {
"game_data": {
"answer": "203",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ○ 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:
on the real number field, x ▽ y = 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: 2 ** 6 ▽ 2
Please fill ... | {
"game_data": {
"answer": "162",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ** 6 ▽ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = y * (y * x - 5 - 4)。
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 △ 10 ** 1 ◎ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2511",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 △ 10 ** 1 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = y * 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 expression: 10 ▽ 10
Please fill you... | {
"game_data": {
"answer": "210",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = y / y / x.
and ♡, the rules are as follows:
when y is odd, x ♡ y = y / y + x;
otherwise, x ♡ y = y * abs(x / y).
and ▽, the rules are as follows:
when x is less than y, x ▽ y = (x ⊗ y);
otherwise, x ▽ y = x + x * y.
The precedence of operat... | {
"game_data": {
"answer": "0.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 3 ▽ 5 ♡ 8",
"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 + abs(y - x)。
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: 2 ◇ 6 ☆ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 6 ☆ 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:
when x is even, x ▽ y = x / y * x * y;
otherwise, x ▽ y = y / x + abs(5).
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y * abs(5 + x).
and □, the rules are as follows:
on the real number field, x □ y = x + 1 * x * x ▽ y.
The precedence of operations: ▽ >... | {
"game_data": {
"answer": "520",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 4 □ 4 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = 4 * abs(y + x) + x - y。
和 ⊙，规则如下：
实数域上，x ⊙ y = abs(x - y * x * y ** x)。
和 ○，规则如下：
当x小于y时，x ○ y = y + y - (x + y) - y；
其他情况下，x ○ y = 2 ⊙ 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: 1 ○ 10 ⊙ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 10 ⊙ 7",
"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 = 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 * 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: 5 * 4 ◎ 4 ◎ 2 ○ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "310",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 * 4 ◎ 4 ◎ 2 ○ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = 4 / abs(y * x)。
和 ⊗，规则如下：
实数域上，x ⊗ y = x ⊙ 1 + (y)。
和 ⊕，规则如下：
当x等于y时，x ⊕ y = x ⊗ y；
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: 1 ⊕ 4 ⊗ 1 ⊙ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4.833333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 4 ⊗ 1 ⊙ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | Define ⊙, the rules are as follows:
when y is odd, x ⊙ y = y - x - y;
otherwise, x ⊙ y = x + y.
and ⊗, the rules are as follows:
when x is greater than y, x ⊗ y = x ⊙ y * x;
otherwise, x ⊗ y = y - (x - y).
and ○, the rules are as follows:
on the real number field, x ○ y = x ⊙ x * y.
The precedence of operatio... | {
"game_data": {
"answer": "-315",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 - 5 ⊗ 8 ○ 10 ⊙ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | 定义 ▽，规则如下：
当y是偶数时，x ▽ y = y + (x * 5 * 5 - x)；
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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ☆, the rules are as follows:
when x is a multiple of 5, x ☆ y = x / 5 + y;
otherwise, x ☆ y = x ** x + y.
and □, the rules are as follows:
when x is even, x □ y = x * x ** y;
otherwise, x □ y = y ☆ (x) * y.
The precedence of operations: ☆ > ** > * = / = % > + = - = □。
Parentheses have the highest priorit... | {
"game_data": {
"answer": "0.317765",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 1 □ 4 / 7 / 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = y + x + x。
和 △，规则如下：
实数域上，x △ y = x - y - x - y。
和 ◇，规则如下：
当y是5的倍数时，x ◇ y = x ** (x) + y + x；
其他情况下，x ◇ y = y + x / x * x。
运算优先级：** > * = / = % = ◇ > + = - = ⊗ = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ◇ 9 * 6 △ 6 ⊗ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 9 * 6 △ 6 ⊗ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x + y.
and ♡, the rules are as follows:
when y is a multiple of 3, x ♡ y = y * x * 1;
otherwise, x ♡ y = y * x.
The precedence of operations: ♡ > ** > * = / = % = ◎ > + = -。
Parentheses have the highest priority, and the expression inside the p... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 9",
"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 and y are both odd, x ○ y = 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: 5 ... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 + 5 % 1 ○ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = y + x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = 1 * x ♡ y.
The precedence of operations: ** = ♢ > * = / = % = ♡ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated firs... | {
"game_data": {
"answer": "13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♢ 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:
on the real number field, x □ y = y - x + x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y □ x.
The precedence of operations: ⊕ > ** = □ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated firs... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 10 ⊕ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = y * 4 - x。
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: 8 ▽ 8 ☆ 4 ☆ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ▽ 8 ☆ 4 ☆ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = x / x * y。
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: 5 ☆ 5 ⊕ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 5 ⊕ 6",
"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 = x - y * y * abs(4 * y).
and ⊗, the rules are as follows:
when x is a multiple of 5, x ⊗ y = x + y ♢ x - x * x;
otherwise, x ⊗ y = x - 2 * 1 + y.
and △, the rules are as follows:
on the real number field, x △ y = x ⊗ x * x / y + (5).
The prece... | {
"game_data": {
"answer": "-19.222222",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 2 ⊗ 5 △ 9",
"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) - 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 △ 7
Please fill your final ... | {
"game_data": {
"answer": "-10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 ♡，规则如下：
当x大于y时，x ♡ y = x / x - x - y；
其他情况下，x ♡ y = 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: 1 ♡ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 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 y is a multiple of 3, x ♢ y = y / y + x;
otherwise, x ♢ y = x - y - x * x.
and ⊕, 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 express... | {
"game_data": {
"answer": "-6.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 / 3 ** 10 ⊕ 2 ♢ 6",
"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 odd, x ♡ y = y * x / 4;
otherwise, x ♡ y = 3 + y * x - 4.
and △, the rules are as follows:
when x is a multiple of 5, x △ y = 2 - x ♡ y - x - y;
otherwise, x △ y = y - y * y + y + x.
The precedence of operations: △ > ** > * = / = % > + = - = ♡。
Parentheses have the ... | {
"game_data": {
"answer": "-1.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 3 ** 8 △ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ◇, the rules are as follows:
when x is less than y, x ◇ y = y + x - 4 ** 2;
otherwise, x ◇ y = 5 * y + 1 + x.
and □, the rules are as follows:
when the sum of x and y is odd, x □ y = (x) + y ◇ y;
otherwise, x □ y = 2 + y / x * 2.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x + x ... | {
"game_data": {
"answer": "113",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 10 ◇ 10 ☆ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ○, the rules are as follows:
when y is odd, x ○ y = y / y + y * y * x;
otherwise, x ○ y = (x - 3 * 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: ... | {
"game_data": {
"answer": "78",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 - 6 * 6 ○ 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 = y ** x / x - y。
和 ⊕，规则如下：
当x和y都是偶数时，x ⊕ y = x - 5 ♢ 4 * y + y；
其他情况下，x ⊕ y = x * (x) + y / x。
和 △，规则如下：
实数域上，x △ y = y / 2 - 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 △ 7 ⊕ 2 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18.321111",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 7 ⊕ 2 ♢ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | 定义 ♡，规则如下：
当x大于y时，x ♡ y = (x * x) - y；
其他情况下，x ♡ y = y + x * y + x。
和 □，规则如下：
当y是奇数时，x □ y = (y * x) + 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: 5 □ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
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 % 3 ▽ 6 / 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 % 3 ▽ 6 / 2",
"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 = 3 - x - y - y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x + (1) - y * y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x + y ⊙ x - y.
The precedence of operations: ** = ☆ > * = / = % > + = - = ⊙ = ... | {
"game_data": {
"answer": "59",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 7 ☆ 6",
"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 + x。
和 ⊙，规则如下：
实数域上，x ⊙ y = x * x ♢ y。
和 ⊗，规则如下：
当x和y都是奇数时，x ⊗ y = (y) - x * 4；
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 / 10 ♢ 8 ⊗ 7 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.00119",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 / 10 ♢ 8 ⊗ 7 ⊙ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ⊗, the rules are as follows:
when y is a multiple of 5, x ⊗ y = abs(y * y * x) - x;
otherwise, x ⊗ y = x / y * y * x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = abs(x * y * y) + x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = y ⊕ x - 4.
The precedence of oper... | {
"game_data": {
"answer": "625",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊕ 2 ⊗ 4 ◎ 5",
"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 = (x * y).
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 expression inside the parentheses is calculate... | {
"game_data": {
"answer": "1.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 10 ◎ 1 ◎ 8",
"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 = y + 5 / y - 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 inside the parentheses is cal... | {
"game_data": {
"answer": "216.428571",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 7 ♡ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
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 = x + x - 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: 2 ♡ 4 ◇ 9 ♡ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 4 ◇ 9 ♡ 3",
"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 + 5 + y。
和 □，规则如下：
当x和y都是偶数时，x □ y = x * y - x；
其他情况下，x □ y = x + y + y * y。
和 ♡，规则如下：
当y是偶数时，x ♡ y = x ⊕ x + (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: 3 ⊕ 3 ♡ 5 □ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "17872",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 3 ♡ 5 □ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
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