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 ** 2 / 5 + y + 5。
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: 2 ⊙ 5 ♡ 4 * 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "133.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 5 ♡ 4 * 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 / x。
和 ◇，规则如下：
当x小于y时，x ◇ y = x - y + x；
其他情况下，x ◇ y = (x) ⊗ y。
和 ☆，规则如下：
实数域上，x ☆ y = (y ◇ x / y)。
运算优先级：☆ > ** = ⊗ = ◇ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ⊗ 10 ◇ 4 ☆ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.0375",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊗ 10 ◇ 4 ☆ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y + x * 3 * x。
运算优先级：** = ◇ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ◇ 1 ** 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2197",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 1 ** 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = y / 5 ** x。
和 □，规则如下：
实数域上，x □ y = y * x - 1 * 2。
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 * 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "98",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 10 □ 1",
"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3的倍数时，x ♡ y = y / x + 2 + 1 + x；
其他情况下，x ♡ y = abs(3 ** x + x) - y + 2。
和 ♢，规则如下：
当x大于y时，x ♢ y = x - x ♡ y * x / y；
其他情况下，x ♢ y = 4 * y - x ♡ 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: 4 ♡ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "80",
"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 | 定义 △，规则如下：
当x等于y时，x △ y = abs(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: 5 △ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x + 1 * y.
and ◇, the rules are as follows:
when the sum of x and y is odd, x ◇ y = y + x + 5;
otherwise, x ◇ y = (x ⊙ 3) + y.
and ☆, the rules are as follows:
when x is less than y, x ☆ y = abs(y + x) - 1;
otherwise, x ☆ y = x - y - x.
The... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊙ 2 ◇ 9 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ⊕, the rules are as follows:
when x is a multiple of 5, x ⊕ y = x * y * x + x + y;
otherwise, x ⊕ y = x * y + abs(x + 4).
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 = x - x - y.
The precedence of operation... | {
"game_data": {
"answer": "-10.1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 10 ♡ 10 ▽ 8 ⊕ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ☆，规则如下：
当x小于y时，x ☆ y = y + x - y；
其他情况下，x ☆ y = 4 - 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: 5 / 10 / 7 ○ 7 ☆ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.015306",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 / 10 / 7 ○ 7 ☆ 1",
"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 - x * (y * y).
and ▽, the rules are as follows:
on the real number field, x ▽ y = x * x / y * x.
The precedence of operations: ♡ > ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is c... | {
"game_data": {
"answer": "-0.190476",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "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 = x + abs(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 ☆ 9 ♡ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ☆ 9 ♡ 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 odd, x ⊙ y = y - x + 5 * y;
otherwise, x ⊙ y = abs(3 * x + y).
and ◇, the rules are as follows:
on the real number field, x ◇ y = x * y * 5.
and ☆, the rules are as follows:
when x is equal to y, x ☆ y = y ** x ** x;
otherwise, x ☆ y = y + x - x + y.
The precedenc... | {
"game_data": {
"answer": "85",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 3 ☆ 7 ◇ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ⊕, the rules are as follows:
when y is even, x ⊕ y = 3 - x + y - x * y;
otherwise, x ⊕ y = y - y - x.
and ⊙, the rules are as follows:
when x is a multiple of 3, x ⊙ y = y + x + 5 + y;
otherwise, x ⊙ y = x * x - x / y + x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = (y) * x - x *... | {
"game_data": {
"answer": "-14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 6 + 8 ⊕ 8 ⊙ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = x * y + x - y。
和 ⊗，规则如下：
实数域上，x ⊗ y = 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: 1 ◎ 8 ⊗ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◎ 8 ⊗ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ♢, the rules are as follows:
when x and y are both even, x ♢ y = x - y - y;
otherwise, x ♢ y = y * x - x ** y.
and ◎, the rules are as follows:
when x is even, x ◎ y = x * y - y * y;
otherwise, x ◎ y = (5 * x - 5 + y).
and □, the rules are as follows:
on the real number field, x □ y = x + x + y.
The pr... | {
"game_data": {
"answer": "-3021",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♢ 4 ◎ 9",
"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 = x ** y * 4 * x / x;
otherwise, x ◎ y = y / x + y * 3.
and ◇, the rules are as follows:
when x and y are both even, x ◇ y = x / y ◎ x;
otherwise, x ◇ y = x * x - x + y * x.
The precedence of operations: ◎ > ** > * = / = % > + = - = ◇。
Parenth... | {
"game_data": {
"answer": "0.315789",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◇ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 △，规则如下：
当x大于y时，x △ y = x - abs(y * 3)；
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: 7 △ 3 / 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 3 / 3",
"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3的倍数时，x ▽ y = y + x + x；
其他情况下，x ▽ y = y - 1 - 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 ▽ 8 ▽ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 8 ▽ 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x和y都是奇数时，x △ y = y * x * y * y；
其他情况下，x △ y = y * x * y + y。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 △ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "36",
"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 - y + x。
和 ▽，规则如下：
当x是5的倍数时，x ▽ y = x - (y * x)；
其他情况下，x ▽ y = 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 * 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 ⊕ 2 ○ 3 ○ 1 ▽ 8
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 ○ 3 ○ 1 ▽ 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 = y ** 4 - x - 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 t... | {
"game_data": {
"answer": "13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 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:
when x and y are both odd, x ▽ y = x - y + y * x;
otherwise, x ▽ y = y + x / y - x * (y).
The precedence of operations: ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of ... | {
"game_data": {
"answer": "-82",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 % 10 ▽ 10 * 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ♢, the rules are as follows:
when x is even, x ♢ y = y * x - x;
otherwise, x ♢ y = x + (y) + 4.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x + x + y.
and ▽, the rules are as follows:
when y is a multiple of 5, x ▽ y = x - x - y;
otherwise, x ▽ y = x - y / x.
The precedence of op... | {
"game_data": {
"answer": "-6.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 2 ▽ 10 ♢ 3 ♡ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ⊗, the rules are as follows:
when y is odd, x ⊗ y = y * x * y + 2;
otherwise, x ⊗ y = x - x / y - x.
and ☆, the rules are as follows:
when y is odd, x ☆ y = y + x + y * y;
otherwise, x ☆ y = x - x * y ⊗ (x).
and ▽, the rules are as follows:
on the real number field, x ▽ y = x + y + x ☆ y.
The precedenc... | {
"game_data": {
"answer": "33.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 8 ▽ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = (y) + x。
运算优先级：** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ○ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 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:
when the sum of x and y is odd, x ⊗ y = x + y + y * 4 - 4;
otherwise, x ⊗ y = x + x - y ** y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x + y - 4 / x.
and ▽, the rules are as follows:
when x and y are both even, x ▽ y = y / y + y * x * x;
otherwise, x... | {
"game_data": {
"answer": "631.870968",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊗ 6 ☆ 10 ▽ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = x - x + y - 4。
和 ☆，规则如下：
当y是3的倍数时，x ☆ y = 1 / y + y + x；
其他情况下，x ☆ y = y - x - abs(y + x)。
和 ♡，规则如下：
当x和y都是偶数时，x ♡ y = x * y ☆ 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: 4 ☆ 5 ⊕ 9 ♡ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ☆ 5 ⊕ 9 ♡ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = x + (y)。
运算优先级：◎ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 * 3 ◎ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 * 3 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ◎，规则如下：
当x是3的倍数时，x ◎ y = x ** x * y；
其他情况下，x ◎ y = x + y + (5)。
和 □，规则如下：
实数域上，x □ y = x * y - 4。
运算优先级：□ > ** > * = / = % > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ◎ 4 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 4 □ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x * y ** x.
and ○, the rules are as follows:
when the sum of x and y is even, x ○ y = 2 ◎ x + y + x;
otherwise, x ○ y = 4 + x * y.
The precedence of operations: ** = ◎ > * = / = % > + = - = ○。
Parentheses have the highest priority, and the expr... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◎ 6 % 8 ○ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ⊙, the rules are as follows:
when y is a multiple of 5, x ⊙ y = y + x - 4;
otherwise, x ⊙ y = (y + x) / x.
and □, the rules are as follows:
when x is a multiple of 3, x □ y = y + x ⊙ y;
otherwise, x □ y = y - x ⊙ x.
and ☆, the rules are as follows:
when x is even, x ☆ y = y ⊙ x * y;
otherwise, x ☆ y = ... | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊙ 10 □ 5",
"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.
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 inside the parentheses is calculated fi... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 % 6 ▽ 5 - 2 ☆ 1",
"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 / x + x / x。
和 ⊕，规则如下：
当y是3的倍数时，x ⊕ y = y - 2 - x ** 4；
其他情况下，x ⊕ y = x + x □ y / x * y。
运算优先级：** = □ > * = / = % > + = - = ⊕。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 □ 4 □ 2 ⊕ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 4 □ 2 ⊕ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = x - 5 + 4 + y.
and ⊗, the rules are as follows:
when the sum of x and y is odd, x ⊗ y = x + y;
otherwise, x ⊗ y = 5 / (4 * x △ y).
and □, the rules are as follows:
when x is equal to y, x □ y = x / x + y;
otherwise, x □ y = y + y + x + y.
T... | {
"game_data": {
"answer": "29",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 □ 3 ⊗ 10 △ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ♢，规则如下：
当y是3的倍数时，x ♢ y = x / x - y；
其他情况下，x ♢ y = x + (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: 4 * 2 ** 1 ♢ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.015625",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 * 2 ** 1 ♢ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = y / y - x + (y * 2)。
运算优先级：** > * = / = % = ○ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ○ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ♡, the rules are as follows:
when the sum of x and y is even, x ♡ y = x * x - y;
otherwise, x ♡ y = x + y + 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 = y ♡ 2 * x.
The precedence of operations: ** = ⊗ > * =... | {
"game_data": {
"answer": "70",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 5 ◇ 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 = x + x / y；
其他情况下，x ○ y = 4 * x / y。
运算优先级：** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ○ 10 / 7 % 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ○ 10 / 7 % 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 - y) + 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 / x - y.
The precedence of operations: ** = ☆ > * = / = % = ⊗ > + = - = ♢。
P... | {
"game_data": {
"answer": "6.785714",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊗ 2 ☆ 7 ♢ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = (4 - y * x - y).
and △, the rules are as follows:
on the real number field, x △ y = x + x + y + x.
The precedence of operations: ♡ > △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is c... | {
"game_data": {
"answer": "-51",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 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 = 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: 3 % 5 / 3 △ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.083333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 % 5 / 3 △ 4",
"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都是奇数时，x ⊗ y = y - x - y；
其他情况下，x ⊗ y = x - x + y。
和 ◎，规则如下：
实数域上，x ◎ y = y + y ⊗ x。
和 □，规则如下：
当x和y的和是奇数时，x □ y = (x + y) - x；
其他情况下，x □ y = 4 - x - abs(y)。
运算优先级：** > * = / = % > + = - = ⊗ = ◎ = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 ◎ 8 ⊗ 7 □ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 8 ⊗ 7 □ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ◇，规则如下：
当x是3的倍数时，x ◇ y = y - x * x ** x * 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: 6 % 8 ◇ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-37",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 % 8 ◇ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x - y * x.
The precedence of operations: ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2 ▽ 6
Please fill your final an... | {
"game_data": {
"answer": "-10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 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 a multiple of 5, x ⊙ y = x * y - x * x * 5;
otherwise, x ⊙ y = x / 3 * y + y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = 1 / 5 ⊙ x - x * y.
and ○, the rules are as follows:
on the real number field, x ○ y = 1 * x - y + y.
The precedence of op... | {
"game_data": {
"answer": "-7.02029",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 3 ⊙ 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 = y * abs(1 * 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 ** 2 - 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "314",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 3 ** 2 - 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = 4 * y - x - x / y.
and △, the rules are as follows:
on the real number field, x △ y = y - x * 2.
The precedence of operations: △ > ** = ☆ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is cal... | {
"game_data": {
"answer": "36.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 8 ☆ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ♢，规则如下：
当x和y都是奇数时，x ♢ y = y - y + x；
其他情况下，x ♢ y = (x - y) * y。
和 ○，规则如下：
当x小于y时，x ○ y = abs(x * x) * y；
其他情况下，x ○ y = x - 5 ♢ y。
和 □，规则如下：
当y是奇数时，x □ y = y / x - y；
其他情况下，x □ y = x - y / y。
运算优先级：** = □ > * = / = % = ♢ = ○ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ♢ 9 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-32",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 9 □ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = y - x + x。
和 ▽，规则如下：
当x是5的倍数时，x ▽ y = (y ◎ 3) * x；
其他情况下，x ▽ y = y + x + y。
运算优先级：▽ > ** > * = / = % > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 % 1 ◎ 8 ▽ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 % 1 ◎ 8 ▽ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = y - (y - x - y)。
和 △，规则如下：
实数域上，x △ y = y + x * 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: 3 % 1 ◎ 1 △ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 % 1 ◎ 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 = y * 2 + y / x - x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = x ♡ y - y - 4.
The precedence of operations: ** = ♡ > * = / = % = ⊗ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊗ 6 ♡ 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 = abs(y - x) - x。
和 ♡，规则如下：
当x小于y时，x ♡ y = x / (x) * y；
其他情况下，x ♡ y = x □ 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 □ 6 ♡ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7744",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 □ 6 ♡ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ◎, the rules are as follows:
when the sum of x and y is odd, x ◎ y = 2 - y * 5 - y * x;
otherwise, x ◎ y = x / y - y / x + x.
and ♡, the rules are as follows:
when y is odd, x ♡ y = x * (x + y) * y;
otherwise, x ♡ y = x * y + x + x * 1.
The precedence of operations: ♡ > ** = ◎ > * = / = % > + = -。
Parent... | {
"game_data": {
"answer": "17.888889",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◎ 1 % 3 ** 1 ♡ 2",
"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.
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 8 ◇ 3 + 3 % 5
Please fill your fina... | {
"game_data": {
"answer": "14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 3 + 3 % 5",
"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 - 2 + 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: 10 % 5 + 2 ◇ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 % 5 + 2 ◇ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = (y) / x / x ** y。
和 △，规则如下：
实数域上，x △ y = y + x + 1 + 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 △ 8 □ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "13.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 8 □ 9",
"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).
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 △ 8
Please fill your final answ... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 △ 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：
当x是3的倍数时，x ⊗ y = y - y / x；
其他情况下，x ⊗ y = x + y + x。
和 ♢，规则如下：
当x小于y时，x ♢ y = 1 ** x * y；
其他情况下，x ♢ 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: 10 % 10 + 6 ♢ 8 ☆ 10 ⊗ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5408",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 % 10 + 6 ♢ 8 ☆ 10 ⊗ 6",
"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 even, x ▽ y = y - x * y;
otherwise, x ▽ y = y - x * 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 = (4 - x) □ x - y.
The precedence of operations: ▽ > ** = ⊕ > * = / ... | {
"game_data": {
"answer": "1930",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 2 ▽ 2 □ 7 □ 5",
"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大于y时，x ◎ y = 1 + y / y + 4 + x；
其他情况下，x ◎ y = x + abs(x) * y + y。
和 ⊗，规则如下：
实数域上，x ⊗ y = y * y - 3 ◎ 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 ⊗ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊗ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ◎，规则如下：
当x等于y时，x ◎ y = x / y * x；
其他情况下，x ◎ y = (y + y / y * x)。
和 □，规则如下：
当x是奇数时，x □ y = x ◎ y / (y)；
其他情况下，x □ y = 5 - 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 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 = (y * x) * y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = (y) - x + y - x / x.
The precedence of operations: ** > * = / = % = □ > + = - = ◇。
Parentheses have the highest priority, and the expression inside the parentheses is... | {
"game_data": {
"answer": "-435",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 9 □ 5 ◇ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ♢，规则如下：
当x大于y时，x ♢ y = y + x；
其他情况下，x ♢ y = y - x * 4。
和 △，规则如下：
实数域上，x △ y = x * x - (y + y)。
和 ⊙，规则如下：
当y是5的倍数时，x ⊙ y = y * x + x △ y；
其他情况下，x ⊙ y = abs(2 + y - x - y)。
运算优先级：△ > ** = ♢ > * = / = % > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 △ 3 ⊙ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3924",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 3 ⊙ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = x - x / x - x + y。
和 ⊙，规则如下：
实数域上，x ⊙ y = 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: 4 ⊙ 9 ☆ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 9 ☆ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ♡，规则如下：
当x和y的和是奇数时，x ♡ y = x ** y；
其他情况下，x ♡ y = y / x。
和 ○，规则如下：
实数域上，x ○ y = y ♡ x * 1。
运算优先级：○ > ** > * = / = % = ♡ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ○ 10 ♡ 2 % 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 10 ♡ 2 % 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 * (y / y) ** x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = (1) * x + y ☆ x.
The precedence of operations: ♢ > ** > * = / = % = ☆ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses i... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ** 7 ♢ 5 ☆ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ⊕，规则如下：
当x和y都是偶数时，x ⊕ y = 1 - x / y；
其他情况下，x ⊕ y = y ** (x - y)。
和 ♡，规则如下：
当x是3的倍数时，x ♡ y = x ** y + x；
其他情况下，x ♡ y = x / y + x。
和 □，规则如下：
实数域上，x □ y = x - 1 ♡ y。
运算优先级：⊕ = ♡ > ** > * = / = % > + = - = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ⊕ 3 □ 3 ♡ 6 ⊕ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 3 □ 3 ♡ 6 ⊕ 9",
"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 * 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: 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ☆, the rules are as follows:
when x is less than y, x ☆ y = y + y * x ** 1;
otherwise, x ☆ y = y + x + x - y.
and ○, the rules are as follows:
when y is even, x ○ y = y * x ☆ 3 * x;
otherwise, x ○ y = y + x - y + x.
The precedence of operations: ** = ○ > * = / = % = ☆ > + = -。
Parentheses have the highes... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = x + (y).
and ▽, the rules are as follows:
on the real number field, x ▽ y = (x + y) + 5.
The precedence of operations: ▽ > ♡ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated ... | {
"game_data": {
"answer": "0.083333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 / 4 ▽ 10 ♡ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
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 = y + x + 1。
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: 4 ♢ 7 ⊕ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "789",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 7 ⊕ 4",
"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 even, x ◇ y = 5 * y + 5 - x;
otherwise, x ◇ y = y / (x) - y ** x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = y - x * (3 - 1).
and △, the rules are as follows:
on the real number field, x △ y = x + y ** x * y.
The precedence o... | {
"game_data": {
"answer": "21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♢ 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:
on the real number field, x ♡ y = 5 / x * y / x.
and △, the rules are as follows:
on the real number field, x △ y = y ** 3 + x.
The precedence of operations: △ > ** > * = / = % = ♡ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calcul... | {
"game_data": {
"answer": "0.061728",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 % 7 △ 5 * 9 ♡ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ♡，规则如下：
当y是奇数时，x ♡ y = (y + x)；
其他情况下，x ♡ y = (x) / y。
和 ☆，规则如下：
当x大于y时，x ☆ y = 4 ** x * y；
其他情况下，x ☆ y = x * y ** x。
运算优先级：☆ > ** > * = / = % = ♡ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ☆ 6 ♡ 8 % 2 ** 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 6 ♡ 8 % 2 ** 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | 定义 ○，规则如下：
当x是奇数时，x ○ y = y - x + x；
其他情况下，x ○ y = abs(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: 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define △, the rules are as follows:
when y is odd, x △ y = y + 1 + (x);
otherwise, x △ y = y * y + x.
The precedence of operations: ** > * = / = % > + = - = △。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4 △ 1 - ... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 1 - 2 % 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ♡, the rules are as follows:
when x is a multiple of 3, x ♡ y = abs(x) / x * y + x * y;
otherwise, 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 va... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 2 % 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5的倍数时，x ⊗ y = x - (y) / y * 3；
其他情况下，x ⊗ y = (y + x - x)。
和 ○，规则如下：
当x和y都是偶数时，x ○ y = x + x * x + y + y；
其他情况下，x ○ y = x + y / y - y * y。
和 □，规则如下：
当x小于y时，x □ y = 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: 1 ○ 8 ⊗ 1 □ 8
请将最终答案填... | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 8 ⊗ 1 □ 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 x and y are both odd, x ▽ y = abs(x / y - x);
otherwise, x ▽ y = 4 * 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 e... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 4 % 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 equal to y, x ◇ y = x / x * y;
otherwise, x ◇ y = x - y * x.
The precedence of operations: ** = ◇ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2
P... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ☆，规则如下：
当x和y的和是奇数时，x ☆ y = y - y + x * x；
其他情况下，x ☆ y = x - y * x。
和 ⊗，规则如下：
实数域上，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: 4 ⊗ 7 ⊗ 8 ☆ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-49",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 7 ⊗ 8 ☆ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = 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 ▽ 2 ▽ 2
Please fill your ... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ▽ 2 ▽ 2",
"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 * (y / x)。
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 = 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 ⊗ 10 ☆ 5 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊗ 10 ☆ 5 ◎ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 ◇，规则如下：
当x和y都是奇数时，x ◇ y = 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: 8 ◇ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "266",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 △，规则如下：
当x是偶数时，x △ y = y - x * x；
其他情况下，x △ y = (x - y) * y。
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 = x △ y。
和 ♢，规则如下：
当x和y都是奇数时，x ♢ y = x ⊗ y；
其他情况下，x ♢ y = x △ y * y。
运算优先级：♢ > ** > * = / = % = △ = ⊗ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ⊗ 2 ⊗ 4 ♢ 5 △ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-612",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 2 ⊗ 4 ♢ 5 △ 9",
"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5的倍数时，x □ y = y / x；
其他情况下，x □ y = y / x - 5。
和 ♡，规则如下：
当x是偶数时，x ♡ y = 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: 3 ♡ 7 □ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♡ 7 □ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = abs(x + y).
and △, the rules are as follows:
when x is less than y, x △ y = abs(y) / x;
otherwise, x △ y = x + x * y.
The precedence of operations: ** > * = / = % = △ > + = - = □。
Parentheses have the highest priority, and the expression inside... | {
"game_data": {
"answer": "96",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 8 □ 8 △ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ○, the rules are as follows:
when x and y are both even, x ○ y = y + 4 * x;
otherwise, x ○ y = x * 1 - 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 expre... | {
"game_data": {
"answer": "-5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 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：
当x和y的和是偶数时，x ⊙ y = x / x + y；
其他情况下，x ⊙ y = y - x - x - y。
和 □，规则如下：
当x等于y时，x □ y = y - 2 - 4 / x；
其他情况下，x □ y = (y ⊙ x) + 5 + 1。
和 ◇，规则如下：
当y是偶数时，x ◇ y = y + 1 - 3 / x；
其他情况下，x ◇ y = x * y □ x。
运算优先级：** = ⊙ > * = / = % = ◇ > + = - = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ⊙ 4 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 4 □ 4",
"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 and y are both odd, x ◇ y = y + x - y;
otherwise, x ◇ y = x / y - x.
The precedence of operations: ** = ◇ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 + 6 ◇ 3 ◇ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = 4 + abs(y) / x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = y * y - x.
The precedence of operations: ♢ > ** = ☆ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calcul... | {
"game_data": {
"answer": "4.0875",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♢ 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:
when y is even, x △ y = x - y * x;
otherwise, x △ y = abs(y + x + x).
The precedence of operations: ** = △ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4 △ ... | {
"game_data": {
"answer": "-36",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 10",
"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y是奇数时，x □ y = y * (x) - 5；
其他情况下，x □ y = y + abs(y + y) + x。
和 ☆，规则如下：
当x和y的和是偶数时，x ☆ y = y * x - abs(x) * x；
其他情况下，x ☆ y = x □ 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: 10 □ 7 ☆ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4215",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 □ 7 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = y + y - y - x + x。
和 ⊗，规则如下：
当x是偶数时，x ⊗ y = y ** x + 5 ** y ** y；
其他情况下，x ⊗ y = y □ x。
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: 4 △ 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": "4 △ 5 □ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ⊕，规则如下：
当x和y的和是奇数时，x ⊕ y = 2 - y * x - y / 2；
其他情况下，x ⊕ y = y - x - y + y - x。
和 ◎，规则如下：
当x小于y时，x ◎ y = (x + y + y) + 2；
其他情况下，x ◎ y = y ⊕ x / y + x。
和 □，规则如下：
当x和y都是偶数时，x □ y = y / y / 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: 9 ⊕ 5 □ 8 ◎ 5... | {
"game_data": {
"answer": "-100.8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 5 □ 8 ◎ 5 ⊕ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = y + x * y * abs(y)。
和 ♢，规则如下：
实数域上，x ♢ y = x + x + y - abs(y)。
和 ○，规则如下：
实数域上，x ○ y = y + 3 ♢ 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 ♢ 10 ⊗ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♢ 10 ⊗ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = x - y + x。
和 ♡，规则如下：
当x是偶数时，x ♡ y = abs(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: 4 ☆ 10 ♡ 1 * 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ☆ 10 ♡ 1 * 9",
"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 * 2 - y * y + 1。
和 ▽，规则如下：
当y是奇数时，x ▽ y = y * x；
其他情况下，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: 6 / 1 ** 3 □ 2 ▽ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "20.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 / 1 ** 3 □ 2 ▽ 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 + abs(y * x) - y。
和 ⊗，规则如下：
当y是3的倍数时，x ⊗ y = y + abs(x)；
其他情况下，x ⊗ y = (x ** x) ♢ y * x。
和 ☆，规则如下：
实数域上，x ☆ y = y / x ⊗ 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: 9 ⊗ 3 ⊗ 9 ♢ 9 ☆ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊗ 3 ⊗ 9 ♢ 9 ☆ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.