env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define ♢, the rules are as follows:
when the sum of x and y is even, x ♢ y = x + (y + x);
otherwise, x ♢ y = (x) + 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 = y + x - y.
The precedence of operations: ♢ > ... | {
"game_data": {
"answer": "100",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♢ 9 ⊙ 4 ♡ 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 = 2 * (2 + 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: 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = abs(y + x) - x。
和 ◇，规则如下：
当x等于y时，x ◇ y = x * y + x - y；
其他情况下，x ◇ y = y + x / x ♢ y。
和 □，规则如下：
实数域上，x □ y = x - y ♢ x * y。
运算优先级：** = ♢ = ◇ > * = / = % = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 □ 2 ◇ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 2 ◇ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = y + y * x - x。
和 ♢，规则如下：
当x是奇数时，x ♢ y = y * 3 ⊗ x / x - y；
其他情况下，x ♢ y = x + y + y - y - x。
和 ♡，规则如下：
实数域上，x ♡ y = x + x + 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: 2 % 4 ♡ 3 ♢ 5 ⊗ 8 ♢ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 % 4 ♡ 3 ♢ 5 ⊗ 8 ♢ 6",
"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 = y * y * y / x.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 8 △ 6
Please fill your fina... | {
"game_data": {
"answer": "27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = x + y。
和 ⊙，规则如下：
实数域上，x ⊙ y = x * y / x。
和 ◇，规则如下：
实数域上，x ◇ y = x * (x ** y)。
运算优先级：⊗ = ◇ > ** > * = / = % > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ◇ 1 ⊗ 4 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 1 ⊗ 4 ⊙ 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 * 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "33",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◇ 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：
当y是5的倍数时，x ♢ y = y * abs(x)；
其他情况下，x ♢ y = abs(x + y * 3)。
和 △，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。
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 ♢ 10 △ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "545",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 5 ♢ 10 △ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = y * y + x ** y + x.
The precedence of operations: ○ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4 / 5 ** 9 ○ 2
Please ... | {
"game_data": {
"answer": "0.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 / 5 ** 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:
when x is a multiple of 5, x ◎ y = (x) + y + y;
otherwise, x ◎ y = x - x * (y).
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = (x * y).
The precedence of operations: ⊙ > ◎ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression in... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 1 ** 8 ⊙ 9 % 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ☆，规则如下：
当x是偶数时，x ☆ y = y * y + x；
其他情况下，x ☆ y = 5 / 5 / y * x。
和 ▽，规则如下：
当x和y的和是奇数时，x ▽ y = abs(x + y + x)；
其他情况下，x ▽ y = y - x ☆ x * y。
运算优先级：** = ▽ > * = / = % = ☆ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ☆ 2 ▽ 4 + 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7.55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ☆ 2 ▽ 4 + 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 □，规则如下：
当x等于y时，x □ y = y + x + x；
其他情况下，x □ y = y / x * 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 * 1 ⊕ 5 □ 4 * 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 * 1 ⊕ 5 □ 4 * 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ♡, the rules are as follows:
when the sum of x and y is odd, x ♡ y = 2 * y + y + x;
otherwise, x ♡ y = y + x - abs(y).
and ♢, the rules are as follows:
when x is less than y, x ♢ y = y + x;
otherwise, x ♢ y = 1 - 1 + x ** y.
The precedence of operations: ♡ = ♢ > ** > * = / = % > + = -。
Parentheses have t... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♢ 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和y都是奇数时，x ♢ y = x - 4 + y；
其他情况下，x ♢ y = y + x。
和 △，规则如下：
实数域上，x △ y = (x) ♢ x / y。
和 ⊕，规则如下：
当y是偶数时，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: 8 ⊕ 2 ♢ 7 △ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "23.7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 2 ♢ 7 △ 10",
"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 = 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: 6 ▽ 7 ** 3 % 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 7 ** 3 % 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = x * x * y + x.
and ◎, the rules are as follows:
when x is even, x ◎ y = (x ** y) - x + 5;
otherwise, x ◎ y = y ⊗ x + y - x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = x / (y / x ⊗ y).
The precedence of operations: ** =... | {
"game_data": {
"answer": "898.802632",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 4 ⊗ 3 ◇ 4 / 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = 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
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:
when the sum of x and y is odd, x ♢ y = y * 1 - x ** x + x;
otherwise, x ♢ y = 3 + y + y - x.
and ◎, the rules are as follows:
when x is a multiple of 3, x ◎ y = y + 4 + x + x;
otherwise, x ◎ y = x + y ♢ y + y.
and ◇, the rules are as follows:
on the real number field, x ◇ y ... | {
"game_data": {
"answer": "-10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◇ 1 ◎ 10 ♢ 6 ♢ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | 定义 ☆，规则如下：
当x小于y时，x ☆ y = y * x + y；
其他情况下，x ☆ y = 3 / x * x * y。
和 □，规则如下：
当x和y的和是偶数时，x □ y = x ☆ y * x - y；
其他情况下，x □ y = y - x / 1 / 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: 1 ☆ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ○，规则如下：
当x大于y时，x ○ y = y * abs(x + x) - y；
其他情况下，x ○ y = x + y - (2 - x)。
运算优先级：** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 - 9 ○ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 - 9 ○ 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 * abs(y - 5 + y) + y.
and □, the rules are as follows:
when x is a multiple of 5, x □ y = x / y - y - y * y;
otherwise, x □ y = y * (x) ♢ y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x / y + 4 ♢ 3 + 4.
The precedenc... | {
"game_data": {
"answer": "149.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 8 □ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = x * x * y。
运算优先级：◇ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 % 5 ◇ 5 ◇ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 % 5 ◇ 5 ◇ 3",
"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 - y + y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x - y - x ♢ y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y / (y * 1 * x * 3).
The precedence of operations: ☆ = ▽ > ** > * = / = % > ... | {
"game_data": {
"answer": "4.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 4 ▽ 4 ♢ 4",
"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5的倍数时，x ◎ y = x - x * y；
其他情况下，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: 7 ◎ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 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x等于y时，x ♢ y = x + y * 2；
其他情况下，x ♢ y = y + 5 / 2 * x。
和 □，规则如下：
当y是3的倍数时，x □ y = y + x * x + y + x；
其他情况下，x □ y = x + y + y + 4。
和 ♡，规则如下：
当x是奇数时，x ♡ y = y ** 3 + y - x；
其他情况下，x ♡ y = y / x - x。
运算优先级：♢ > □ = ♡ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ♢ 1 □ 3
请将最终答案填入\boxed{}中... | {
"game_data": {
"answer": "28.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♢ 1 □ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 △，规则如下：
当x是5的倍数时，x △ y = x - y + y；
其他情况下，x △ y = 3 - (x / y) - y。
和 ○，规则如下：
实数域上，x ○ y = x * y。
和 ☆，规则如下：
实数域上，x ☆ y = 3 + 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 ○ 9 * 3 ☆ 9 % 7 △ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18227",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 9 * 3 ☆ 9 % 7 △ 2",
"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 = y + x + x + x;
otherwise, x ⊕ y = 5 + y / x + 2.
and ⊗, the rules are as follows:
when x is less than y, x ⊗ y = x * y + y;
otherwise, x ⊗ y = y * x ⊕ y.
and ♢, the rules are as follows:
when x is less than y, x ♢ y = x ⊗ y;
otherwise, x ♢ y = ... | {
"game_data": {
"answer": "12.326705",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 5 ♢ 4 ⊕ 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 / 1) + x.
and ☆, the rules are as follows:
when x is equal to y, x ☆ y = x - (y) ⊙ x;
otherwise, x ☆ y = (y ⊙ x) - y.
and ♡, the rules are as follows:
when x is less than y, x ♡ y = (x) ⊙ y;
otherwise, x ♡ y = y + x * y.
The precedence o... | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊙ 3 ♡ 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 = y + x - x。
和 ♢，规则如下：
当y是偶数时，x ♢ y = x ⊗ y * x；
其他情况下，x ♢ y = x ⊗ x + y。
和 ⊙，规则如下：
实数域上，x ⊙ y = 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 % 8 ⊙ 4 ⊗ 4 ♢ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 5 % 8 ⊙ 4 ⊗ 4 ♢ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x - y / y.
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": "15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 10 ◎ 4 ** 7 * 4",
"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 greater than y, x ◇ y = y + y * x + y;
otherwise, x ◇ y = 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 exp... | {
"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x是奇数时，x ☆ y = y ** 3 - x / x；
其他情况下，x ☆ y = x - x + 4 + y。
和 ⊗，规则如下：
当y是5的倍数时，x ⊗ y = x ☆ x + y - 2；
其他情况下，x ⊗ y = x - x * y * y。
运算优先级：** = ☆ > * = / = % > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 - 8 ⊗ 4 ☆ 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": "8 - 8 ⊗ 4 ☆ 5 + 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ♡, the rules are as follows:
when y is a multiple of 5, x ♡ y = abs(y + x) - 4 * y;
otherwise, x ♡ y = x + y ** y + x.
and ○, the rules are as follows:
on the real number field, x ○ y = x ** 2 / y.
The precedence of operations: ** = ♡ > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the ... | {
"game_data": {
"answer": "8.2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 + 1 - 2 ○ 10 ♡ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | Define ☆, the rules are as follows:
when the sum of x and y is even, x ☆ y = y + 2 / x + x;
otherwise, x ☆ y = x - y - y.
and ⊙, the rules are as follows:
when x is equal to y, x ⊙ y = (y) ☆ 4 * x + x;
otherwise, x ⊙ y = x / (y).
The precedence of operations: ☆ > ** = ⊙ > * = / = % > + = -。
Parentheses have the... | {
"game_data": {
"answer": "0.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊙ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y - x / 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: 8 △ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 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 a multiple of 5, x ♡ y = x - y - y * y * x;
otherwise, x ♡ y = (y - 2) + y + x.
and △, the rules are as follows:
on the real number field, x △ y = (x + y) - y - 5.
The precedence of operations: ♡ = △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and... | {
"game_data": {
"answer": "17",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ⊗，规则如下：
当x和y都是偶数时，x ⊗ y = x - y - y；
其他情况下，x ⊗ y = 3 / 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 = 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 ☆ 3 ◎ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 3 ◎ 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:
when x is equal to y, x ♢ y = 4 - x * y - y;
otherwise, x ♢ y = y * 2 - (x).
and ♡, the rules are as follows:
when x is odd, x ♡ y = abs(x + y * 4) * x;
otherwise, x ♡ y = x - x - (y + x).
and ○, the rules are as follows:
when the sum of x and y is even, x ○ y = 5 ♢ y * x;
... | {
"game_data": {
"answer": "1105",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 3 ○ 7 ♢ 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 = x + x - x - y - y.
The precedence of operations: ** > * = / = % > + = - = ▽。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 8 ▽ 6
Please fill your ... | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ▽ 6",
"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 = x + abs(x - y * y - x);
otherwise, x □ y = x + 5 / y + 2 * y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = y - 5 / y + x + x.
The precedence of operations: ** = ◎ > * = / = % > + = - = □。
Parentheses have the highest priority, and t... | {
"game_data": {
"answer": "19.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 4 □ 5 % 10",
"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 - (2) + y - 5 + x。
和 ♢，规则如下：
实数域上，x ♢ y = y ⊙ x - y + x。
运算优先级：⊙ > ** > * = / = % > + = - = ♢。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊙ 4",
"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等于y时，x ⊙ y = x - x + y；
其他情况下，x ⊙ y = y * 4 + (y * x)。
和 ◇，规则如下：
实数域上，x ◇ y = y + y - x * y。
和 ☆，规则如下：
当y是偶数时，x ☆ y = x ◇ y * y * 5；
其他情况下，x ☆ y = x + (3 * 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: 9 ◇ 5 ☆ 5 ⊙ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "34020",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 5 ☆ 5 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y - 4 + y - x。
运算优先级：** = ◇ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 + 7 ◇ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 + 7 ◇ 5",
"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 the sum of x and y is even, x ♢ y = y + y + x * y;
otherwise, x ♢ y = (x + y ** x / y).
and ⊙, the rules are as follows:
when y is a multiple of 5, x ⊙ y = y ♢ y * x;
otherwise, x ⊙ y = x * y ** x + y.
and ☆, the rules are as follows:
when x is a multiple of 3, x ☆ y = ... | {
"game_data": {
"answer": "-9225",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 4 ♢ 1 * 8 ⊙ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = y - x * y.
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 answer... | {
"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 / 2 + y.
and ⊙, the rules are as follows:
when y is a multiple of 5, x ⊙ y = x + y ⊕ 1 * y;
otherwise, x ⊙ y = x + y + x + y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y * y * x ⊕ x.
The precedence of operations: **... | {
"game_data": {
"answer": "27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 4 ⊙ 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：
当y是偶数时，x ⊕ y = x / y / x；
其他情况下，x ⊕ y = y + x / y - y。
和 ◎，规则如下：
实数域上，x ◎ y = y * x ⊕ x - y。
和 ♡，规则如下：
实数域上，x ♡ y = x - 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 ◎ 4 ♡ 7 - 6 ⊕ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1.2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 4 ♡ 7 - 6 ⊕ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ○，规则如下：
当x是奇数时，x ○ y = x / x * y * 3；
其他情况下，x ○ y = (y) - y / x。
运算优先级：** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ○ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ○ 4",
"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 * x - y + y + x。
和 △，规则如下：
当x和y都是偶数时，x △ y = (x * y - y ♡ y * 3)；
其他情况下，x △ y = y ♡ x * y * 5 + y。
运算优先级：** > * = / = % > + = - = ♡ = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ♡ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "110",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = abs(5 * y - x).
and ⊙, the rules are as follows:
when x is a multiple of 3, x ⊙ y = 4 * (y / x);
otherwise, x ⊙ y = y + x.
The precedence of operations: □ > ** = ⊙ > * = / = % > + = -。
Parentheses have the highest priority, and the expression i... | {
"game_data": {
"answer": "42",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊙ 9 + 9 □ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = 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: 6 △ 1
Please fill your final an... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 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:
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: 1 ○ 8
Please fill your fina... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 8",
"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 the sum of x and y is odd, x ♡ y = y ** x * x * y - y;
otherwise, x ♡ y = x ** y + x / x + y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y * x ♡ x - 5.
The precedence of operations: ▽ > ♡ > ** > * = / = % > + = -。
Parentheses have the highest priori... | {
"game_data": {
"answer": "-431",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 3 - 4 ▽ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define □, the rules are as follows:
when x is less than y, x □ y = y + x * x + 3 * y;
otherwise, x □ y = x + x - x / y / x.
and ▽, the rules are as follows:
when x and y are both odd, x ▽ y = x - x + y * y;
otherwise, x ▽ y = x - x - x + y - y.
The precedence of operations: ** = ▽ > * = / = % = □ > + = -。
Paren... | {
"game_data": {
"answer": "23.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 3 □ 10 / 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ⊕，规则如下：
当x和y的和是偶数时，x ⊕ y = x * y * x + x；
其他情况下，x ⊕ y = 1 - y / y ** x。
和 ⊙，规则如下：
当x和y的和是偶数时，x ⊙ y = y ⊕ x * x + y；
其他情况下，x ⊙ y = y + x * x * 4。
和 ☆，规则如下：
当y是偶数时，x ☆ y = x + y ** x + y；
其他情况下，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: 3 ⊕ 5 ⊙ 3
请将最终答案... | {
"game_data": {
"answer": "2190",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 5 ⊙ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ⊙，规则如下：
当x等于y时，x ⊙ y = y + x + y；
其他情况下，x ⊙ y = x * 4 * y。
和 ♢，规则如下：
当x是5的倍数时，x ♢ y = x - x * y；
其他情况下，x ♢ y = y ⊙ (x)。
和 □，规则如下：
当x小于y时，x □ y = y + x - y；
其他情况下，x □ y = x * 4 + (y)。
运算优先级：⊙ = ♢ > ** = □ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 □ 2 ♢ 7 ⊙ 3 * 8 * 9
请将最终答案填入\boxed{}中。 | {
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... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = y * y - x - y。
和 ▽，规则如下：
实数域上，x ▽ y = y * x + y。
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: 6 ⊕ 6 ▽ 8 ⊙ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-170",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊕ 6 ▽ 8 ⊙ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = x * x * x - y.
and △, the rules are as follows:
on the real number field, x △ y = x + 5 * y + x ♢ y.
and ○, the rules are as follows:
on the real number field, x ○ y = x + y + x + x - x.
The precedence of operations: △ > ** > * = / = % = ♢ = ○ ... | {
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"answer": "488",
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"gpt_response": "",
"metadata": {
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"expression": "4 ○ 7 △ 2 + 5 ♢ 3",
"fill_length": null,
"full_sequence": null,
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"n_types": null,
"ne... |
logic-v2 | 定义 ⊕，规则如下：
当y是3的倍数时，x ⊕ y = (y ** y + x)；
其他情况下，x ⊕ y = x + y - x / y - 5。
和 ♡，规则如下：
实数域上，x ♡ y = x * y - 3 / 4 - 4。
和 ◇，规则如下：
当x和y都是奇数时，x ◇ y = y - x * (y + x) - x；
其他情况下，x ◇ y = 3 ** y ♡ x。
运算优先级：⊕ > ** = ♡ > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ⊕ 1 ◇ 2
请将最终答案填入\boxed{}中。 | {
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"answer": "-40.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊕ 1 ◇ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = (y - 4 + x).
and ▽, the rules are as follows:
when x is equal to y, x ▽ y = x * y;
otherwise, x ▽ y = abs(y * x).
and ◎, the rules are as follows:
on the real number field, x ◎ y = y * y - x.
The precedence of operations: ◎ > ** > * = / = % =... | {
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"answer": "20",
"difficulty": 1,
"gpt_response": "",
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"expression": "6 ◎ 5 ♢ 5",
"fill_length": null,
"full_sequence": null,
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"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = y - y - x * x + 5。
和 ♢，规则如下：
实数域上，x ♢ y = x * x * y + x + x。
运算优先级：⊙ > ** > * = / = % = ♢ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 / 10 ⊙ 5 ♢ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.098393",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 / 10 ⊙ 5 ♢ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x - y * y.
and ▽, the rules are as follows:
when y is even, x ▽ y = y * y ⊕ (x);
otherwise, x ▽ y = x - y ⊕ y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y * x ⊕ y.
The precedence of operations: ▽ > ** > * = / = % = ⊕ ... | {
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"answer": "-1225",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 1 ⊙ 1 ▽ 6",
"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是奇数时，x ♢ y = y * x；
其他情况下，x ♢ y = x - y * (x)。
和 ○，规则如下：
当x是偶数时，x ○ y = y ♢ (y * x)；
其他情况下，x ○ y = x ♢ 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: 5 ○ 1 ⊗ 4 ♢ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-74",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 1 ⊗ 4 ♢ 9",
"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 = (y + 2) * x;
otherwise, x ◇ y = x - 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 ex... | {
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"answer": "-7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 * 3 ◇ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ▽, the rules are as follows:
when the sum of x and y is odd, x ▽ y = x - y * y;
otherwise, x ▽ y = x + y * x.
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 / y.
The precedence of operations: □ > ** ... | {
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"answer": "35",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 1 ▽ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x / 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 expression: 6 ▽ 9 + 9
Please fill y... | {
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"answer": "70",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 9 + 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x * y * 1.
and ○, the rules are as follows:
when x and y are both even, x ○ y = x + y;
otherwise, x ○ y = abs(y + x).
and ☆, the rules are as follows:
on the real number field, x ☆ y = x ○ 4 * y.
The precedence of operations: ☆ > ** > * = / =... | {
"game_data": {
"answer": "130",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊕ 3 ☆ 3 ○ 4",
"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是奇数时，x ▽ y = x - 5 - x / y / 3；
其他情况下，x ▽ y = 1 * x / x + y * y。
运算优先级：** = ▽ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ▽ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2.2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ▽ 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:
when x is less than y, x △ y = y + x ** x;
otherwise, x △ y = x * y.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 1 △ 5... | {
"game_data": {
"answer": "30",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 △ 5 * 5",
"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 / 3 / 2 * 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 * 10 △ 6 / 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-144",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 * 10 △ 6 / 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 = y / x - y - x + y.
and ◎, the rules are as follows:
when y is a multiple of 3, x ◎ y = y - (x) ⊙ x;
otherwise, x ◎ y = x + y / 4 + y / x.
and ☆, the rules are as follows:
when y is a multiple of 5, x ☆ y = 4 * y / 3 * x * x;
otherwise, x ☆ y ... | {
"game_data": {
"answer": "-5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 6 ☆ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ◇, the rules are as follows:
when y is odd, x ◇ y = 4 - y - x;
otherwise, x ◇ y = y * x - 1.
The precedence of operations: ** > * = / = % = ◇ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 10 % 9 ◇ 1... | {
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"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 % 9 ◇ 1",
"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 = 3 * (y) ** y - x ** y。
和 △，规则如下：
实数域上，x △ y = (x * y * x + x) / y。
和 ◎，规则如下：
实数域上，x ◎ y = y △ 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 ◎ 3 △ 2 ⊗ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "196.0001",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 3 △ 2 ⊗ 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 = 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 = x * 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 = 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 ◎ 3 ⊕ 4 ♡ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.013889",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 3 ⊕ 4 ♡ 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)。
和 ◎，规则如下：
当x是3的倍数时，x ◎ y = 4 * x + y；
其他情况下，x ◎ y = abs(y - x - y)。
和 ◇，规则如下：
实数域上，x ◇ 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 ◇ 4 ◎ 1 ⊕ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.018462",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 4 ◎ 1 ⊕ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ▽，规则如下：
当x和y都是偶数时，x ▽ y = 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: 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 = abs(x - 5 / y + y) - 1.
The precedence of operations: ** > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 9
Please fill your... | {
"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 | Define ♢, the rules are as follows:
when x and y are both even, x ♢ y = x * x - y;
otherwise, x ♢ y = y + x + x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = y ♢ x * 4.
and ⊕, the rules are as follows:
when y is a multiple of 5, x ⊕ y = y ♢ y * x;
otherwise, x ⊕ y = x + y.
The precedence... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 9 ♢ 10 ♡ 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y是偶数时，x ☆ y = y * x + y + 2；
其他情况下，x ☆ y = 5 - 4 - x / y。
和 ♡，规则如下：
当x和y的和是奇数时，x ♡ y = y * y * x + (x * y)；
其他情况下，x ♡ y = x - y ☆ x * 4 * y。
运算优先级：♡ > ** = ☆ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ♡ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "289",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 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：
实数域上，x ▽ y = 4 + x * y * 2 * 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 ▽ 3 / 9 ▽ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.157787",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ▽ 3 / 9 ▽ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = (2 - x) * y。
和 ♢，规则如下：
当x和y都是奇数时，x ♢ y = x * y ⊗ x - x - y；
其他情况下，x ♢ y = abs(x + x - x / y) * 5。
和 △，规则如下：
当x和y都是奇数时，x △ y = x * y * y * y * 4；
其他情况下，x △ y = 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 △ 2 ⊗ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = x * abs(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 + 7 △ 10
Please fill yo... | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 + 7 △ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ♡，规则如下：
当x是偶数时，x ♡ y = y - x - y；
其他情况下，x ♡ y = y * y - x。
和 ⊕，规则如下：
当x和y的和是偶数时，x ⊕ y = (x ** y ♡ y) * x；
其他情况下，x ⊕ y = y * y - y - x。
运算优先级：** = ♡ > * = / = % > + = - = ⊕。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 * 4 ♡ 1 ⊕ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "74",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 * 4 ♡ 1 ⊕ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ⊗, the rules are as follows:
when y is a multiple of 5, x ⊗ y = y * x ** x;
otherwise, x ⊗ y = x - abs(x / y + y).
and ◇, the rules are as follows:
on the real number field, x ◇ y = abs(x / y).
and ⊙, the rules are as follows:
when y is a multiple of 5, x ⊙ y = y + x * y ◇ 3;
otherwise, x ⊙ y = x ◇ y -... | {
"game_data": {
"answer": "3.158333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 10 ◇ 6 ⊙ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = abs(y * x * y)。
和 ▽，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。
和 ⊕，规则如下：
实数域上，x ⊕ y = 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 ♢ 4 ⊕ 2 ▽ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.044025",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♢ 4 ⊕ 2 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = x + y + y + y + x.
and ◎, the rules are as follows:
when x and y are both odd, x ◎ y = 5 / y - 4 - 3 + x;
otherwise, x ◎ y = x * y ☆ y * x / y.
The precedence of operations: ☆ > ** = ◎ > * = / = % > + = -。
Parentheses have the highest priority,... | {
"game_data": {
"answer": "32.714286",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 7 % 6 ☆ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | Define ♡, the rules are as follows:
when x is a multiple of 3, x ♡ y = x * y * x * x;
otherwise, x ♡ y = y * y * 4 - x * 1.
and ◎, the rules are as follows:
when x is equal to y, x ◎ y = (y / x) ♡ x / y + x;
otherwise, x ◎ y = y + 4 * y * x + y.
The precedence of operations: ◎ > ** > * = / = % = ♡ > + = -。
Pare... | {
"game_data": {
"answer": "90",
"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 | 定义 ◇，规则如下：
实数域上，x ◇ y = x + y ** 1 * y。
运算优先级：◇ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ◇ 1 + 7 / 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 1 + 7 / 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = (y - y * x) * x - y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y * y / x ◇ 5 + y.
The precedence of operations: ⊙ > ** > * = / = % = ◇ > + = -。
Parentheses have the highest priority, and the expression inside the parenthe... | {
"game_data": {
"answer": "37832",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 - 4 ⊙ 4 ◇ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ♡，规则如下：
当x是3的倍数时，x ♡ y = x * x / y；
其他情况下，x ♡ y = x * 4 * 2 - y。
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: 3 ◎ 4 % 6 - 10 ♡ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-70",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◎ 4 % 6 - 10 ♡ 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 = (y + x) + x。
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 ⊗ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14.00009",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 7 ⊗ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ◎, the rules are as follows:
when x and y are both even, x ◎ y = y - x * y - y;
otherwise, x ◎ y = x * x * y.
and ♡, the rules are as follows:
when the sum of x and y is odd, x ♡ y = y + x ◎ x ** y;
otherwise, x ♡ y = (y - x + x) ◎ x.
The precedence of operations: ** = ◎ > * = / = % = ♡ > + = -。
Parenthe... | {
"game_data": {
"answer": "-242",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 - 7 ◎ 5 ♡ 1",
"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 * y + (x) / y - y.
and ○, the rules are as follows:
when y is even, x ○ y = y - x * y + x;
otherwise, x ○ y = 4 + x / y ☆ 2 + y.
The precedence of operations: ☆ = ○ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expr... | {
"game_data": {
"answer": "25.012623",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ○ 7 ○ 10 ☆ 1 - 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = y / x。
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 + 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ○ 6 + 5",
"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y是5的倍数时，x ♡ y = (x * y + y) - y；
其他情况下，x ♡ y = y - x * abs(x) + x。
和 ◎，规则如下：
当y是偶数时，x ◎ y = x ** x * y；
其他情况下，x ◎ y = x * y ** 2 / 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 ◎ 7 ** 6 ♡ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◎ 7 ** 6 ♡ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ⊗，规则如下：
当y是奇数时，x ⊗ y = y * x + x / x；
其他情况下，x ⊗ y = x * y * 5。
和 △，规则如下：
实数域上，x △ y = y - y / x - x。
和 ○，规则如下：
实数域上，x ○ y = x △ x - y。
运算优先级：⊗ = ○ > ** = △ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 △ 9 ○ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-17.888889",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 9 ○ 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y是3的倍数时，x ▽ y = y * x + x；
其他情况下，x ▽ y = y + x + x。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ▽ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "40",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 9",
"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 and y are both odd, x ⊕ y = x * y * y;
otherwise, x ⊕ y = (x - y - y).
and ○, the rules are as follows:
when y is a multiple of 5, x ○ y = y ⊕ y * x;
otherwise, x ○ y = y / (x - y).
and ♢, the rules are as follows:
on the real number field, x ♢ y = x + y.
The precede... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 6 ♢ 9",
"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 = 1 * 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 ◇ 3
Please fill your ... | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◇ 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:
on the real number field, x ⊙ y = abs(y - x - x - x).
and □, the rules are as follows:
on the real number field, x □ y = x + y.
and ◎, the rules are as follows:
when x is less than y, x ◎ y = y ⊙ y * x;
otherwise, x ◎ y = (1 - y * y * x).
The precedence of operations: ◎ > □ >... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 1 ◎ 7 □ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
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