env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = x * x + 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 - 10 % 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "52",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 4 - 10 % 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = (x * 1 + y)。
和 ▽，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。
运算优先级：○ > ⊗ > ** > * = / = % > + = - = ▽。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ○ 2 ⊗ 8 ○ 5 ▽ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "216",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 2 ⊗ 8 ○ 5 ▽ 8",
"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 = abs(y * x) + y - y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = 3 / abs(y * x) * y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = abs(y + x + x).
The precedence of operations: ♢ = ◇ > ** > * = / = % >... | {
"game_data": {
"answer": "20.075",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 5 ♢ 8 ◇ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | Define △, the rules are as follows:
when y is a multiple of 5, x △ y = y + x + y - y;
otherwise, x △ y = x - 5 + y.
The precedence of operations: ** > * = / = % > + = - = △。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expres... | {
"game_data": {
"answer": "12",
"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:
when the sum of x and y is odd, x ⊙ y = x - y ** y;
otherwise, x ⊙ y = 3 - x - y.
and ♢, the rules are as follows:
when y is even, x ♢ y = y * y ⊙ x;
otherwise, x ♢ y = x - (y ⊙ x).
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = (x) - y * 4.
The preceden... | {
"game_data": {
"answer": "-18714",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♢ 10 ⊗ 2 ⊙ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 ♢，规则如下：
当x和y的和是偶数时，x ♢ y = 4 / x ** x - x * y；
其他情况下，x ♢ y = x + y * y - y。
和 ⊕，规则如下：
当x和y的和是奇数时，x ⊕ y = y - abs(x - y)；
其他情况下，x ⊕ y = y * x * y + y。
和 ○，规则如下：
实数域上，x ○ y = abs(x * y) * x。
运算优先级：♢ = ○ > ** = ⊕ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ○ 6 ⊕ 10 ** 7 ♢ 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": "3 ○ 6 ⊕ 10 ** 7 ♢ 1 ⊕ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ☆，规则如下：
当x是3的倍数时，x ☆ y = 4 ** 2 * abs(x) - y；
其他情况下，x ☆ y = y + (x * y)。
和 ⊕，规则如下：
当x是偶数时，x ⊕ y = y * 2 - x ☆ 2；
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: 2 ⊕ 9 ☆ 10 * 1 ⊕ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "66850",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊕ 9 ☆ 10 * 1 ⊕ 3",
"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 * 4.
and ♢, the rules are as follows:
on the real number field, x ♢ y = 1 + x ⊙ y + 5.
The precedence of operations: ♢ > ** = ⊙ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is cal... | {
"game_data": {
"answer": "-31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 - 3 ♢ 6 ⊙ 4",
"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 = abs(y) ** x * y。
和 ♢，规则如下：
实数域上，x ♢ y = y * 3 - x。
和 ▽，规则如下：
实数域上，x ▽ y = x + y。
运算优先级：⊙ = ♢ > ** > * = / = % > + = - = ▽。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 / 7 ♢ 9 ▽ 2 ⊙ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "729.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 / 7 ♢ 9 ▽ 2 ⊙ 9",
"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3的倍数时，x ⊙ y = y - y + x + x；
其他情况下，x ⊙ y = x * y - y - y。
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 = x ⊙ x / x + y + x。
运算优先级：** > * = / = % = ⊙ = ⊕ > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ◎ 4 ⊕ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◎ 4 ⊕ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ⊕，规则如下：
当y是3的倍数时，x ⊕ y = x + y * y；
其他情况下，x ⊕ y = y + x - y + y。
和 □，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 = abs(5 * x / y) - y。
和 ☆，规则如下：
当x是3的倍数时，x ☆ y = x * y / x / 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 ⊕ 7 □ 9 ☆ 10
请将最终答案填入\boxed... | {
"game_data": {
"answer": "21.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊕ 7 □ 9 ☆ 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 = abs(y + y) - 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 ⊗ 6 □ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2394",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊗ 6 □ 5",
"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 = y * x；
其他情况下，x ○ y = y * x * y。
运算优先级：○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ○ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "324",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ○ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth"... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = x - 5 * 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: 9 % 9 △ 7 / 6
Please fill y... | {
"game_data": {
"answer": "-49.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 % 9 △ 7 / 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) - y / x - y；
其他情况下，x ◎ y = y / x - y * y。
和 ⊗，规则如下：
当y是偶数时，x ⊗ y = x * y ** x / y ** x；
其他情况下，x ⊗ y = x * 4 + 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: 7 ⊗ 4 ◎ 3 ⊗ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-8.571429",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊗ 4 ◎ 3 ⊗ 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 / y * x。
和 ☆，规则如下：
当x和y的和是奇数时，x ☆ 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: 4 □ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 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 = y * x * x - x.
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 9 ◇ 3
Please fill your fina... | {
"game_data": {
"answer": "234",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = y ** x。
运算优先级：** > * = / = % > + = - = ▽。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 * 10 * 8 ▽ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 * 10 * 8 ▽ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ○，规则如下：
当x小于y时，x ○ y = x + x * y；
其他情况下，x ○ y = x + (y * y) * x。
和 ◎，规则如下：
当x是5的倍数时，x ◎ y = (y ** x * y) + x；
其他情况下，x ◎ y = (y ○ y) + x - x。
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: 10 ○ 9 ◎ 10 - 1 ♢ 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 ○ 9 ◎ 10 - 1 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ⊗, the rules are as follows:
when x and y are both even, x ⊗ y = y + y - 5 - abs(x);
otherwise, x ⊗ y = y + x + 5.
and ♢, the rules are as follows:
on the real number field, x ♢ y = x ⊗ y.
and □, the rules are as follows:
when the sum of x and y is even, x □ y = 2 / x + y * y;
otherwise, x □ y = x - y ... | {
"game_data": {
"answer": "784.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 4 ⊗ 7 ♢ 7",
"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 = y - x - 5 * y。
和 ♢，规则如下：
实数域上，x ♢ y = y * y - y ◎ y + x。
和 △，规则如下：
实数域上，x △ y = y - y * x * y + x。
运算优先级：◎ > ** = △ > * = / = % = ♢ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 △ 1 ◎ 3 ♢ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1679",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 1 ◎ 3 ♢ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = y + x。
和 ◎，规则如下：
当x和y的和是奇数时，x ◎ y = x + x * y + x；
其他情况下，x ◎ y = x ** x + x * y。
运算优先级：** > * = / = % = ⊕ = ◎ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ◎ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "90",
"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 | 定义 ♢，规则如下：
当x是5的倍数时，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。
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: 7 ○ 5 ♢ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "193",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 5 ♢ 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 odd, x ◎ y = x - 3 - x + y + x;
otherwise, x ◎ y = y + abs(x - y).
and ◇, the rules are as follows:
on the real number field, x ◇ y = x / 1 ◎ x - y + x.
The precedence of operations: ** > * = / = % = ◎ = ◇ > + = -。
Parentheses have the highest priority, and the expres... | {
"game_data": {
"answer": "31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◎ 10 ◇ 7 ◎ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ⊕, the rules are as follows:
when x is less than y, x ⊕ y = x + x + x / y + x;
otherwise, x ⊕ y = (y - y - x * x).
and ☆, the rules are as follows:
when y is a multiple of 3, x ☆ y = y + y ** (y) - y * x;
otherwise, x ☆ y = (x + y + x - 4) ⊕ 4.
and ◎, the rules are as follows:
when y is a multiple of 5, ... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 1 ◎ 9 ⊕ 8 % 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ⊙，规则如下：
当x小于y时，x ⊙ y = y + x；
其他情况下，x ⊙ y = y + x + x。
和 ♡，规则如下：
实数域上，x ♡ y = x - 3 + y。
运算优先级：♡ > ** = ⊙ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ♡ 9 ⊙ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 9 ⊙ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = y - x - 4 + x。
和 ♢，规则如下：
当x小于y时，x ♢ y = x ⊙ (3 - 2 + y)；
其他情况下，x ♢ y = 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 ** 10 ♢ 1 ⊙ 10 ○ 1 * 5
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 ** 10 ♢ 1 ⊙ 10 ○ 1 * 5",
"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 = (x / y) + y;
otherwise, x ⊕ y = 5 + y + x.
and ⊙, the rules are as follows:
when x is a multiple of 3, x ⊙ y = x + y;
otherwise, x ⊙ y = x * abs(y * 4).
and ♢, the rules are as follows:
on the real number field, x ♢ y = x ⊕ y * y.
The prec... | {
"game_data": {
"answer": "32",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 3 ♢ 2",
"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 x is even, x □ y = 3 * y / y / x;
otherwise, x □ y = abs(x * y).
and ⊙, the rules are as follows:
when y is a multiple of 3, x ⊙ y = y + y - x;
otherwise, x ⊙ y = y * y □ y * x.
The precedence of operations: ** > * = / = % = □ > + = - = ⊙。
Parentheses have the highest pr... | {
"game_data": {
"answer": "58",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 % 6 ⊙ 5 □ 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 + y + x + x。
和 △，规则如下：
实数域上，x △ y = y - x * y * y。
和 ♡，规则如下：
当x和y的和是奇数时，x ♡ y = x + y / y + y；
其他情况下，x ♡ 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: 2 □ 8 △ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1272",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 8 △ 8",
"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 3, x □ y = (x + x ** x) + y;
otherwise, x □ y = x ** y + y - y.
and ♡, the rules are as follows:
when y is a multiple of 5, x ♡ y = x □ x * y + x;
otherwise, x ♡ y = x - y + x * (5).
The precedence of operations: ** = ♡ > * = / = % = □ > + = -。
Parenth... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 □ 1 ♡ 1 □ 7 ** 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = y * x * y.
and ♢, the rules are as follows:
when x and y are both odd, x ♢ y = 1 - y * x;
otherwise, x ♢ y = x * x - y.
The precedence of operations: ♢ > ** > * = / = % = ◎ > + = -。
Parentheses have the highest priority, and the expression insi... | {
"game_data": {
"answer": "-56.888889",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 8 / 1 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ▽，规则如下：
当x和y都是奇数时，x ▽ y = abs(x + y) * x / y；
其他情况下，x ▽ y = x / (x) + y / 2。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ▽ 10 + 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ▽ 10 + 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:
on the real number field, x ◇ y = y - x * x - y.
The precedence of operations: ** = ◇ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2 ◇ 1 * 8 + 1
Please fill y... | {
"game_data": {
"answer": "-31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 1 * 8 + 1",
"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 = 5 - abs(x - y) * y - 1。
和 ♢，规则如下：
实数域上，x ♢ y = y - 5 + 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: 10 ◎ 5 ♢ 8 - 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◎ 5 ♢ 8 - 1",
"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 is a multiple of 3, x ◇ y = x - abs(x * y);
otherwise, x ◇ y = y + x.
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expressio... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = y - y + x.
and △, the rules are as follows:
on the real number field, x △ y = abs(x * y * x).
The precedence of operations: ** > * = / = % > + = - = ☆ = △。
Parentheses have the highest priority, and the expression inside the parentheses is calcul... | {
"game_data": {
"answer": "64",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 4 ☆ 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：
实数域上，x ◎ y = x - x - y - y。
和 ▽，规则如下：
当x和y都是偶数时，x ▽ y = x ◎ x + y - y；
其他情况下，x ▽ y = x - y + abs(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 ◎ 1 ▽ 4 * 8 + 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◎ 1 ▽ 4 * 8 + 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = x * y ** x * x - 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 = x ** 2 + 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 - 6 ⊕ 2 □ 7 ♢ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-12530",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 - 6 ⊕ 2 □ 7 ♢ 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 * x。
和 △，规则如下：
实数域上，x △ y = 1 / y - y + x。
和 ☆，规则如下：
实数域上，x ☆ y = y △ 4 - x + x。
运算优先级：** = ☆ > * = / = % = △ > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ☆ 6 △ 4 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 6 △ 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 * abs(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 = x ♢ (y) ** y。
运算优先级：♢ > ** = ○ = ◎ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ◎ 1 ♢ 5 ○ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◎ 1 ♢ 5 ○ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊕，规则如下：
当y是奇数时，x ⊕ y = (x + y) + y * y；
其他情况下，x ⊕ y = y + 4 + x。
和 ◎，规则如下：
实数域上，x ◎ y = y + y - x * x。
和 ⊙，规则如下：
当y是5的倍数时，x ⊙ y = y ⊕ y * x / 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: 6 ◎ 3 ⊙ 3 ⊕ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◎ 3 ⊙ 3 ⊕ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = (2) - y + y + x * 5。
和 ⊕，规则如下：
实数域上，x ⊕ y = y - x - x - y / y。
和 ⊙，规则如下：
实数域上，x ⊙ y = x ◇ x ** 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 ◇ 9 ⊕ 5 ⊙ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "42",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 9 ⊕ 5 ⊙ 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 = y - x * y * (x + x).
and ▽, the rules are as follows:
on the real number field, x ▽ y = y ☆ y * 2 + x - y.
The precedence of operations: ☆ = ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parenthe... | {
"game_data": {
"answer": "-142",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ☆ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth... |
logic-v2 | Define ○, the rules are as follows:
when x is even, x ○ y = x - 4 * y * 4;
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
Pleas... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ♡，规则如下：
实数域上，x ♡ y = y ** y + x * x * x。
和 ◎，规则如下：
实数域上，x ◎ y = 2 - x * 2 - 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 ♡ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = x / y * 5。
和 ⊕，规则如下：
当x和y的和是偶数时，x ⊕ y = x + x + y；
其他情况下，x ⊕ y = y / 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 ☆ 2 ⊕ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 2 ⊕ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | Define ♢, the rules are as follows:
when the sum of x and y is odd, x ♢ y = y * x ** y ** 3;
otherwise, 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 t... | {
"game_data": {
"answer": "256",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = 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: 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：
实数域上，x ♡ y = x * y - 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: 7 ⊕ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "48",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 10",
"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 3, x ◎ y = x + y * x + abs(5);
otherwise, x ◎ y = x + y * x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = y ◎ x - 3.
The precedence of operations: ◎ > ** > * = / = % = ☆ > + = -。
Parentheses have the highest priority, and the expres... | {
"game_data": {
"answer": "101",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 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:
on the real number field, x ◇ y = x * y + x.
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 10
Please fill your final answe... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": nu... |
logic-v2 | 定义 ⊙，规则如下：
当x等于y时，x ⊙ y = x + abs(x) - y；
其他情况下，x ⊙ y = y * x + y + y / y。
和 ♡，规则如下：
实数域上，x ♡ y = y + y + y ⊙ y / x。
和 △，规则如下：
当x是偶数时，x △ y = x ⊙ y；
其他情况下，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: 1 ♡ 1 ⊙ 7 △ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "43219",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 1 ⊙ 7 △ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ○, the rules are as follows:
when the sum of x and y is even, x ○ y = x * y - x - y;
otherwise, x ○ y = x * y + x + y.
The precedence of operations: ** > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of ... | {
"game_data": {
"answer": "17",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 + 6 ○ 1 ** 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = x * 2 + y.
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 * abs(y + x).
The precedence of operations: ⊗ > ** > * = / = % = ☆ > + = - = ◇。
Parent... | {
"game_data": {
"answer": "-34",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 % 2 ☆ 8 ◇ 9 ⊗ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = x + y + (5).
and □, the rules are as follows:
on the real number field, x □ y = y - x * y - 4.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x / x / x * y.
The precedence of operations: ♢ > ** > * = / = % = ♡ > + = - = □。
P... | {
"game_data": {
"answer": "-6.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 8 ♢ 2 ♡ 9",
"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 equal to y, x □ y = x / abs(y / y) - 5;
otherwise, x □ y = 4 * y * x - y.
and ♢, 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 exp... | {
"game_data": {
"answer": "239",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♢ 2 □ 5",
"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是3的倍数时，x ☆ y = 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 = x + x ☆ y + x。
运算优先级：☆ > ** = ⊗ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 + 7 / 2 ⊗ 8 ☆ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.991003",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 + 7 / 2 ⊗ 8 ☆ 6",
"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是奇数时，x ⊗ y = y ** x - 5；
其他情况下，x ⊗ y = y - x - y。
运算优先级：⊗ > ☆ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ⊗ 1 ☆ 4 ☆ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-40",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊗ 1 ☆ 4 ☆ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊕，规则如下：
当x和y都是奇数时，x ⊕ y = y / 3 * x；
其他情况下，x ⊕ y = abs(x / y + y)。
和 ⊙，规则如下：
实数域上，x ⊙ y = 4 * 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: 2 ▽ 9 ⊕ 9 ⊙ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 9 ⊕ 9 ⊙ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = x / y + x + y - y。
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: 5 ☆ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth"... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x * x - y ** x.
and ○, the rules are as follows:
when x is greater than y, x ○ y = x + y;
otherwise, x ○ y = (y - y) * x + y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = x ○ y - x + x.
The precedence of operations: ⊕ = ... | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ○ 1 ◇ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = y + x + y。
和 △，规则如下：
当x和y的和是奇数时，x △ y = 2 + x + y / x；
其他情况下，x △ y = 5 * y * 4 + x。
运算优先级：** = △ > * = / = % = ☆ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 △ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y - 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 △ 5 * 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 5 * 2",
"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 odd, x ⊙ y = y + y / x - y;
otherwise, x ⊙ y = abs(x - x / y + 1).
and ◎, the rules are as follows:
when x is less than y, x ◎ y = x * x * 3 ⊙ y;
otherwise, x ◎ y = y * y ⊙ 4 - x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = ... | {
"game_data": {
"answer": "28.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 5 ◎ 7 ⊙ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = y - y * y * x.
and ◇, the rules are as follows:
when the sum of x and y is odd, x ◇ y = x / x / y ** y;
otherwise, x ◇ y = y ⊗ x - x - x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = y + y * abs(y) * x.
The precedence of... | {
"game_data": {
"answer": "26233",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◇ 4 ◎ 8 ⊗ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ☆, the rules are as follows:
when x is a multiple of 3, x ☆ y = abs(x - x ** y);
otherwise, x ☆ y = y * x + y.
and ♡, the rules are as follows:
when the sum of x and y is even, x ♡ y = x + (5 ** y);
otherwise, x ♡ y = x - y * x.
The precedence of operations: ♡ > ** > * = / = % > + = - = ☆。
Parentheses ha... | {
"game_data": {
"answer": "629",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♡ 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 = x ** y。
和 ○，规则如下：
实数域上，x ○ y = y * x。
运算优先级：○ > ** = ♡ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ○ 5 ♡ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "91125",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ○ 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 = x - x + y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x * y - y.
The precedence of operations: ♡ = ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated ... | {
"game_data": {
"answer": "0.085714",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 6 / 8 ▽ 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 + x;
otherwise, x □ y = x + y + 3.
and ♢, the rules are as follows:
on the real number field, x ♢ y = x * y * 2.
The precedence of operations: ♢ > ** = □ > * = / = % > + = -。
Parentheses have the highest priority, and the expression in... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = x * 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: 3 ♡ 7 % 1
Please fill your ... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♡ 7 % 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define △, the rules are as follows:
when x is odd, x △ y = x + y - x + y;
otherwise, x △ y = x / x - y * 1.
The precedence of operations: ** > * = / = % > + = - = △。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 9 ... | {
"game_data": {
"answer": "12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 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都是奇数时，x △ y = 5 + x / 1 + y；
其他情况下，x △ y = y - x + x。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 % 7 * 10 △ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 % 7 * 10 △ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ♡，规则如下：
当x和y的和是奇数时，x ♡ y = x * y - x / x - x；
其他情况下，x ♡ y = x ** y * x - y。
和 ☆，规则如下：
实数域上，x ☆ y = x - x * y * y / x。
运算优先级：☆ > ** = ♡ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ♡ 1 * 1 ☆ 6 / 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "11.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 1 * 1 ☆ 6 / 3",
"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 - 4.
and ◎, the rules are as follows:
when x is a multiple of 3, x ◎ y = y * y ♢ x;
otherwise, x ◎ y = x ** y - x.
and ◇, the rules are as follows:
when x is equal to y, x ◇ y = x + y - y;
otherwise, x ◇ y = 3 + x ◎ y.
The precedence ... | {
"game_data": {
"answer": "1904",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◇ 6 ◎ 6 ♢ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ◎，规则如下：
当x是奇数时，x ◎ y = x - y + x + y；
其他情况下，x ◎ y = y * y + x + x。
和 ♢，规则如下：
实数域上，x ♢ y = (y + 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: 9 ◎ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◎ 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 = x * y - 1。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 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 = y - abs(x - y) + y.
and △, 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 = y △ y / x.
The precedence of operations: ♢ = ⊙ > ** > * = / = % = △ >... | {
"game_data": {
"answer": "2.857143",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♢ 6 ⊙ 4",
"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 - x - y.
and □, the rules are as follows:
on the real number field, x □ y = y - x + y.
and ◎, the rules are as follows:
when x is even, x ◎ y = x / y - 1;
otherwise, x ◎ y = x - abs(x) / y.
The precedence of operations: ⊕ = ◎ > ** > * = / =... | {
"game_data": {
"answer": "-15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 4 ⊕ 4 ◎ 2",
"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 5, x ♡ y = y * x - 2 * 5 - y;
otherwise, x ♡ y = y + 5 * (y + x * y).
and ◎, the rules are as follows:
when the sum of x and y is even, x ◎ y = y + x + 1 * y ♡ y;
otherwise, x ◎ y = y - y - 1 * x ♡ x.
The precedence of operations: ♡ > ** > * = / = % = ... | {
"game_data": {
"answer": "-745.453125",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 3 / 8 ◎ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ⊗, the rules are as follows:
when x and y are both odd, x ⊗ y = 2 - x * y;
otherwise, x ⊗ y = x - x * y.
and ♢, the rules are as follows:
on the real number field, x ♢ y = x * y.
and □, the rules are as follows:
on the real number field, x □ y = x + y + y.
The precedence of operations: ⊗ > ** > * = / = %... | {
"game_data": {
"answer": "26",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 2 □ 3 ♢ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ◎, the rules are as follows:
when x and y are both odd, x ◎ y = (y ** x);
otherwise, x ◎ y = y + x - x.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y - x + x.
The precedence of operations: ◎ > ** > * = / = % > + = - = ⊙。
Parentheses have the highest priority, and the expression insid... | {
"game_data": {
"answer": "1296",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 6 ** 4 ◎ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = y / x + y + x。
和 □，规则如下：
当x和y的和是偶数时，x □ y = x * x ☆ x * y；
其他情况下，x □ y = y ☆ x。
运算优先级：☆ > ** > * = / = % = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ☆ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"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：
当y是3的倍数时，x ☆ y = (x + y) ** x * 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: 7 ☆ 1 ☆ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ☆ 1 ☆ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = 1 + x + 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 = x ◇ 2 + y。
运算优先级：◇ > ** = ⊙ > * = / = % = ♡ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ⊙ 2 ◇ 1 ♡ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊙ 2 ◇ 1 ♡ 5",
"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 = 1 + 1 / y + x.
and ☆, 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 ☆ x;
otherwise, x △ y = y * x - y - y ☆ x.
The precedence of operations: ☆ > *... | {
"game_data": {
"answer": "8.005015",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 6 ☆ 1 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ▽, the rules are as follows:
when y is odd, x ▽ y = abs(y / y) * x;
otherwise, x ▽ y = y + (x + x).
The precedence of operations: ** > * = / = % = ▽ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4 *... | {
"game_data": {
"answer": "32896",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ** 7 ▽ 2 ** 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = y + x / x + x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x - y - x - y - x.
and □, the rules are as follows:
on the real number field, x □ y = y * abs(y) + y * x / x.
The precedence of operations: ** > * = / = % = ▽ > +... | {
"game_data": {
"answer": "-149",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 6 ▽ 3 ⊗ 6",
"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.
and △, the rules are as follows:
on the real number field, x △ y = y + abs(y) * x.
The precedence of operations: ** = △ > * = / = % = ◎ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated... | {
"game_data": {
"answer": "111",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 3 * 5 ◎ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ♡，规则如下：
当y是偶数时，x ♡ y = y ** x - y；
其他情况下，x ♡ y = y + x + y。
和 ♢，规则如下：
实数域上，x ♢ y = y ** x。
运算优先级：** > * = / = % > + = - = ♡ = ♢。
括号具有最高优先级，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": "4096",
"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和y都是偶数时，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: 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = y + y * 2 * x。
和 ◎，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 = y * x * x。
和 ○，规则如下：
当y是奇数时，x ○ y = x ⊙ 3 - y；
其他情况下，x ○ y = y + y * x / 5。
运算优先级：○ > ** = ⊙ > * = / = % > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ◎ 8 ○ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1684.8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◎ 8 ○ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ⊕，规则如下：
当y是5的倍数时，x ⊕ y = y - y - x - x；
其他情况下，x ⊕ y = y * x + y + x。
和 ♢，规则如下：
当x等于y时，x ♢ y = abs(y) - y - x；
其他情况下，x ♢ y = y * y ⊕ x。
和 □，规则如下：
当x大于y时，x □ y = x * x + y * y；
其他情况下，x □ y = x * x / x / y。
运算优先级：♢ > ** > * = / = % = ⊕ = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 □ 1 ⊕ 8 ♢ 6 / 8
请将最终答案填入\... | {
"game_data": {
"answer": "2747.125",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 1 ⊕ 8 ♢ 6 / 8",
"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 = 3 * y + x - y - y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x + y * y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y ** y + x - x ◎ x.
The precedence of operations: ⊙ > ** = ▽ > * = / = % > + = -... | {
"game_data": {
"answer": "2509",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊙ 2 ◎ 7 ▽ 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 = y / y + x * x - y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = (y + x) - y - y + x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y + y / x.
The precedence of operations: ▽ = ◇ > ** > * = / = % = ⊗ > ... | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 7 ⊗ 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是奇数时，x ▽ y = y ** x * x + x / x；
其他情况下，x ▽ y = x + y - y * y - 4。
和 ⊗，规则如下：
当x和y的和是偶数时，x ⊗ y = x ▽ x * x * x * y；
其他情况下，x ⊗ y = y + x * y。
和 ⊕，规则如下：
实数域上，x ⊕ y = y * x。
运算优先级：** > * = / = % = ▽ = ⊕ > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ▽ 5 ⊕ 4 ⊗ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "250",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 5 ⊕ 4 ⊗ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = y / y + x。
和 ⊗，规则如下：
当x是5的倍数时，x ⊗ y = abs(y / y - x)；
其他情况下，x ⊗ y = y - y + 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: 9 ☆ 6 ⊗ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ☆ 6 ⊗ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 △，规则如下：
当y是3的倍数时，x △ y = y * x * 3 / 3；
其他情况下，x △ y = 4 / x + y - x / y。
运算优先级：** > * = / = % = △ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 △ 5 * 8 / 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3.337143",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 5 * 8 / 10",
"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 = x - x - y；
其他情况下，x □ y = abs(y) ** x * x。
和 ⊕，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 = (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 □ 2 ⊕ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 □ 2 ⊕ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | Define ♡, the rules are as follows:
when y is even, x ♡ y = x / 5 + y;
otherwise, x ♡ y = y + x - y - 5.
and ⊗, the rules are as follows:
when y is odd, x ⊗ y = y ♡ y + x - y;
otherwise, x ⊗ y = x ♡ (y + x) * y.
The precedence of operations: ** = ⊗ > * = / = % = ♡ > + = -。
Parentheses have the highest priority,... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊗ 7 - 6 ♡ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
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