env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define ♡, the rules are as follows:
when y is odd, x ♡ y = y - y + x + y + x;
otherwise, x ♡ y = y * y + y - y * x.
and ⊗, the rules are as follows:
when x is odd, x ⊗ y = 4 - 5 - y ♡ x + 2;
otherwise, x ⊗ y = y ♡ x - x + x * x.
The precedence of operations: ** > * = / = % = ⊗ > + = - = ♡。
Parentheses have the ... | {
"game_data": {
"answer": "263",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 7 ♡ 3",
"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。
和 ☆，规则如下：
实数域上，x ☆ y = y - abs(y) + x。
和 ▽，规则如下：
实数域上，x ▽ y = (y) / y - x。
运算优先级：** > * = / = % = ⊗ = ▽ > + = - = ☆。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ⊗ 6 ▽ 4 ☆ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊗ 6 ▽ 4 ☆ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ⊗, the rules are as follows:
when y is even, x ⊗ y = y * x / x + 4;
otherwise, x ⊗ y = y - x * y.
and □, the rules are as follows:
when x and y are both even, x □ y = x ⊗ y + y;
otherwise, x □ y = y + y + y - x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = x * y * 5 + y.
The prece... | {
"game_data": {
"answer": "-527",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊗ 6 ◇ 1 □ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = y + (x - y)。
运算优先级：○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = 3 + y ** x.
and △, the rules are as follows:
on the real number field, x △ y = y / x + abs(y).
and ○, the rules are as follows:
when y is a multiple of 3, x ○ y = y * x * x;
otherwise, x ○ y = y + x.
The precedence of operations: ⊗ = △ = ○ > ... | {
"game_data": {
"answer": "6.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 6 ○ 6 ⊗ 5 △ 10 △ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = y + x * x.
The precedence of operations: ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2
Please fill your final answer... | {
"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 | Define ☆, the rules are as follows:
when x is greater than y, x ☆ y = x + y * x;
otherwise, x ☆ y = abs(y * x).
and ♢, the rules are as follows:
when y is a multiple of 3, x ♢ y = y + x - x;
otherwise, x ♢ y = y - y - x.
The precedence of operations: ** = ☆ > * = / = % > + = - = ♢。
Parentheses have the highest ... | {
"game_data": {
"answer": "30",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 5 ♢ 5 * 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = abs(x - y + y * y).
and ◎, the rules are as follows:
when x is even, x ◎ y = y * x * x + 3;
otherwise, x ◎ y = x / y * y / y.
The precedence of operations: ♡ > ** = ◎ > * = / = % > + = -。
Parentheses have the highest priority, and the expressio... | {
"game_data": {
"answer": "579",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 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 = y - y - x + y ** x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = y - y * y - 4 ⊙ x.
The precedence of operations: ** > * = / = % = ♡ > + = - = ⊙。
Parentheses have the highest priority, and the expression inside the parenthes... | {
"game_data": {
"answer": "4.000772",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ◇，规则如下：
当x是奇数时，x ◇ y = x / 2 - 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 / 3 ◇ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.235294",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 / 3 ◇ 10",
"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 = abs(y / x) - y * 2 + x。
运算优先级：** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ◎, the rules are as follows:
when y is odd, x ◎ y = abs(y) - 4 - y * y ** x;
otherwise, x ◎ y = x * y + y - y / y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = 4 + y * y ◎ x + x.
The precedence of operations: ◎ > ** > * = / = % = ☆ > + = -。
Parentheses have the highest priority, and t... | {
"game_data": {
"answer": "3213",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◎ 6 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = x * y。
和 ◎，规则如下：
当x是奇数时，x ◎ y = y + (x ♢ x)；
其他情况下，x ◎ y = y - x ♢ y。
和 ▽，规则如下：
实数域上，x ▽ y = 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: 10 ♢ 2 ◎ 10 ▽ 1 + 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-185",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♢ 2 ◎ 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 x is less than y, x ♢ y = (x - y - x);
otherwise, x ♢ y = x + (y + x).
and ☆, the rules are as follows:
when y is even, x ☆ y = x - y * x;
otherwise, x ☆ y = (2 + y) + x.
and ▽, the rules are as follows:
when y is even, x ▽ y = y ♢ x + x;
otherwise, x ▽ y = x + x - y... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 8 ▽ 4",
"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 = 2 * 5 * x - y。
和 △，规则如下：
实数域上，x △ y = y - 1 * 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: 3 △ 8 % 3 + 9 □ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "81",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 8 % 3 + 9 □ 10",
"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 * 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 ▽ 9 / 7 % 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2.346939",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 9 / 7 % 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x - (y + y + y).
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y - y * 5 / x.
The precedence of operations: ⊙ > ** = ◎ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is c... | {
"game_data": {
"answer": "-26.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 2 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ○，规则如下：
当x和y的和是偶数时，x ○ y = x * x + y；
其他情况下，x ○ y = (y - 5) * x。
运算优先级：** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ○ 8 * 1 % 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "44",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 8 * 1 % 9",
"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 + x + y - x。
和 △，规则如下：
当x和y的和是偶数时，x △ y = 1 / y ♢ x；
其他情况下，x △ y = (5 - x) + 1 / y。
和 ○，规则如下：
当x是3的倍数时，x ○ y = 5 / x + y + x；
其他情况下，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: 4 ○ 5 ♢ 2 / 2 + 3 △ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2.166667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ○ 5 ♢ 2 / 2 + 3 △ 3",
"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 + 5 / 5 - 4 + 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: 7 - 2 ☆ 8 - 8 ⊕ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 - 2 ☆ 8 - 8 ⊕ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 ♡，规则如下：
当x和y都是奇数时，x ♡ y = y - x + x * 4；
其他情况下，x ♡ y = y - x + x / 4。
和 ⊗，规则如下：
当x和y都是奇数时，x ⊗ y = x ♡ y + x；
其他情况下，x ⊗ y = y / y - x * y。
运算优先级：♡ > ** > * = / = % > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ♡ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♡ 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 even, x ▽ y = y * x + x - x;
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 the expression: 3 ▽ ... | {
"game_data": {
"answer": "52488",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ▽ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 △，规则如下：
当y是奇数时，x △ y = y * 5 - x；
其他情况下，x △ y = 2 * x + x - y。
运算优先级：** > * = / = % > + = - = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7
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都是偶数时，x ⊕ y = x * y * x ** x；
其他情况下，x ⊕ y = y + (y / y + x)。
和 ♢，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: 3 ⊕ 3 ♢ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 3 ♢ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = (x / y ** 2) - y.
and ○, the rules are as follows:
on the real number field, x ○ y = y + x ⊙ x * x.
and ◎, the rules are as follows:
when x is equal to y, x ◎ y = 4 / y * x + y;
otherwise, x ◎ y = x - x - y.
The precedence of operations: ○ > ... | {
"game_data": {
"answer": "1295.333433",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 4 ⊙ 6 ○ 6 ○ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = 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: 2 % 9 % 7 △ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 % 9 % 7 △ 4",
"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 = y / x;
otherwise, x ▽ y = y - x / y.
The precedence of operations: ** > * = / = % = ▽ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 1
... | {
"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：
当x和y都是偶数时，x ◎ y = 3 + x * y - 1 + x；
其他情况下，x ◎ y = x * y + y。
和 ⊗，规则如下：
实数域上，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: 7 ⊗ 4 / 10 ◎ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "17.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊗ 4 / 10 ◎ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ⊙，规则如下：
当x是奇数时，x ⊙ y = y - y * x；
其他情况下，x ⊙ y = x - x * y。
和 ◎，规则如下：
当y是5的倍数时，x ◎ y = y / 4 - abs(x)；
其他情况下，x ◎ y = y * abs(x - y)。
和 ⊗，规则如下：
当x和y都是偶数时，x ⊗ y = (y - y) + 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: 10 ⊗ 2 ◎ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 2 ◎ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊗，规则如下：
当x和y都是偶数时，x ⊗ y = x + (y - y + 3 / y)；
其他情况下，x ⊗ y = y * x + y - 3。
和 □，规则如下：
当x和y的和是偶数时，x □ y = y * y * 3 ⊗ y / x；
其他情况下，x □ y = y * 2 * y + x。
和 ⊙，规则如下：
当x是偶数时，x ⊙ y = y ⊗ x / x * x；
其他情况下，x ⊙ y = y + x + x。
运算优先级：□ > ** = ⊗ > * = / = % > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 □ 9 ⊙ 6 ⊗ 1... | {
"game_data": {
"answer": "1788.3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 9 ⊙ 6 ⊗ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = 4 - x * 5 + abs(x) * y。
和 ○，规则如下：
当x等于y时，x ○ y = x + x ⊗ y * y + x；
其他情况下，x ○ y = x / 3 ** (x) ⊗ y * x。
和 ◎，规则如下：
实数域上，x ◎ y = x ○ x * x - 5 - y。
运算优先级：◎ > ○ > ** = ⊗ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ⊗ 6 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "422",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 6 ◎ 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 * y * x + x * x。
和 △，规则如下：
实数域上，x △ y = 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: 10 △ 2 % 5 □ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2.003636",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 2 % 5 □ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ⊙, the rules are as follows:
when y is a multiple of 5, x ⊙ y = abs(4) + y / x + x;
otherwise, x ⊙ y = y + x - y + 5.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y + y ⊙ x - y.
and ○, the rules are as follows:
on the real number field, x ○ y = x + 5 * y - 4.
The precedence of opera... | {
"game_data": {
"answer": "47",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊙ 9 / 3 ** 10 ○ 2 ◇ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ◎，规则如下：
当y是偶数时，x ◎ y = y * x - x；
其他情况下，x ◎ y = y * x。
和 ▽，规则如下：
实数域上，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: 3 ▽ 9 + 5 ◎ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "140",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ▽ 9 + 5 ◎ 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 = x * y * y。
运算优先级：** > * = / = % = ▽ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 / 9 ▽ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14.222222",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 / 9 ▽ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define □, the rules are as follows:
when x is greater than y, x □ y = x + y * y - y;
otherwise, x □ y = x + y / y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = y + x ** y * y.
The precedence of operations: ** = □ > * = / = % > + = - = ☆。
Parentheses have the highest priority, and the express... | {
"game_data": {
"answer": "3003",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 2 □ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y / x。
运算优先级：** = △ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 △ 1 - 5 - 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-14.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 1 - 5 - 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ▽, the rules are as follows:
when x is a multiple of 5, x ▽ y = y - x + x;
otherwise, x ▽ y = y - y / x * 2.
The precedence of operations: ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expres... | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = x - 2 / y + x - 2.
and ⊕, the rules are as follows:
when the sum of x and y is even, x ⊕ y = y + x + x ⊗ x * y;
otherwise, x ⊕ y = x - 1 * x * y ** 2.
and ◎, the rules are as follows:
on the real number field, x ◎ y = 4 / y - x ⊗ 4.
The prece... | {
"game_data": {
"answer": "16.173661",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊗ 7 ◎ 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y是偶数时，x ♢ y = 4 - x - y；
其他情况下，x ♢ y = x * y / x + y。
和 ◎，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 = 5 / 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: 7 ♢ 10 ○ 3 * 9 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "97",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♢ 10 ○ 3 * 9 ◎ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 ⊕，规则如下：
当x和y都是奇数时，x ⊕ y = y - x * y * y；
其他情况下，x ⊕ y = y + y / 2 - x - x。
和 ○，规则如下：
当x大于y时，x ○ y = y * y ⊕ x + x * x；
其他情况下，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: 7 ○ 2 ⊕ 1 / 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-20.3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 2 ⊕ 1 / 5",
"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 odd, x △ y = y * x / x;
otherwise, x △ y = 2 * 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 △ 5
Plea... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": ... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = x * y - 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 ▽ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "186",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 7 ▽ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ⊙，规则如下：
当x和y的和是偶数时，x ⊙ y = 3 / y / x；
其他情况下，x ⊙ y = x * y - x。
和 □，规则如下：
当y是5的倍数时，x □ y = x - y + y；
其他情况下，x □ y = y ⊙ y * x。
和 ▽，规则如下：
当x大于y时，x ▽ y = x □ x - y；
其他情况下，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: 7 ▽ 1 ⊙ 3 □ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.963719",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ▽ 1 ⊙ 3 □ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = (y - x - y) - y。
和 ⊕，规则如下：
当x和y都是奇数时，x ⊕ y = y - (y) * x ◎ x + x；
其他情况下，x ⊕ y = y * 2 / 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: 2 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = 4 / 2 - x * y。
和 ⊗，规则如下：
实数域上，x ⊗ y = 5 ◎ y - y + x。
运算优先级：◎ > ** > * = / = % > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ◎ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 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和y都是奇数时，x △ y = x + x * abs(y + 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: 10 △ 7 △ 1 - 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "349",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 7 △ 1 - 8",
"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 = 5 / abs(y - 4 * x ** x)。
和 ○，规则如下：
实数域上，x ○ y = 4 * y + 5 - x - y。
和 □，规则如下：
实数域上，x □ y = x ○ y + y * y - y。
运算优先级：♢ > □ > ** = ○ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ** 8 ○ 3 ♢ 8 □ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "315.85",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ** 8 ○ 3 ♢ 8 □ 9",
"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 - abs(y).
and ♡, the rules are as follows:
when x is equal to y, x ♡ y = y - x □ x;
otherwise, x ♡ y = x + y.
The precedence of operations: □ > ♡ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression insi... | {
"game_data": {
"answer": "6.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 2 □ 6",
"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 even, x ▽ y = (y + x + 4) * x;
otherwise, x ▽ y = 1 * 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 expressio... | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 / 5 ▽ 4 * 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = x - y - x - x.
and ◎, the rules are as follows:
when y is even, x ◎ y = y + y * x ♡ x;
otherwise, x ◎ y = y - abs(y / y) + x.
The precedence of operations: ♡ > ** > * = / = % = ◎ > + = -。
Parentheses have the highest priority, and the expressio... | {
"game_data": {
"answer": "-80",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◎ 5 ♡ 8 * 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 the sum of x and y is odd, x ◇ y = (x * 4) + y + y;
otherwise, x ◇ y = x * 2 + y + 2.
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": "24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ◎, the rules are as follows:
when x is even, x ◎ y = (4 / 3) - x - y;
otherwise, x ◎ y = x * y + y * y + y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y + x / y ◎ 5 - x.
The precedence of operations: ◎ > ** = ⊕ > * = / = % > + = -。
Parentheses have the highest priority, and the expr... | {
"game_data": {
"answer": "11.631111",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 2 ⊕ 9 * 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 even, x ⊙ y = x - x + y;
otherwise, x ⊙ y = x + y - x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x * abs(y) * 4.
The precedence of operations: ☆ > ** > * = / = % = ⊙ > + = -。
Parentheses have the highest priority, and the expression inside the... | {
"game_data": {
"answer": "72",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 6 ⊙ 9 * 8",
"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 = 3 - 5 - y - 1 - x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y + y + x / y + y.
The precedence of operations: ** > * = / = % = ⊕ > + = - = ☆。
Parentheses have the highest priority, and the expression inside the parenthese... | {
"game_data": {
"answer": "-22.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 4 - 6 ⊕ 4",
"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和y的和是偶数时，x ♡ y = x / x + y；
其他情况下，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: 8 ♡ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♡ 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 = y + x.
and ▽, 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 firs... | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ☆ 4 ** 10 ▽ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = y * x。
和 ○，规则如下：
实数域上，x ○ y = (x * 2) ♢ y。
和 ▽，规则如下：
当x是奇数时，x ▽ y = x ○ 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: 1 ♢ 1 ▽ 1 ○ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♢ 1 ▽ 1 ○ 7",
"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 * 4 + x。
和 ♡，规则如下：
实数域上，x ♡ y = x ⊕ x * x + y。
和 ▽，规则如下：
实数域上，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: 7 ▽ 7 ⊕ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2780",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ▽ 7 ⊕ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ♢，规则如下：
当y是奇数时，x ♢ y = y / (x) + y * x；
其他情况下，x ♢ y = y * x + x。
和 ♡，规则如下：
当y是3的倍数时，x ♡ y = x - x + (x / y)；
其他情况下，x ♡ y = y ♢ 5 * 1 - x。
和 ○，规则如下：
实数域上，x ○ y = abs(4 - 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 ♢ 3 ○ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.205128",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♢ 3 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ⊕, the rules are as follows:
when x is a multiple of 3, x ⊕ y = y - x + (x * x ** x);
otherwise, x ⊕ y = abs(y) - x * x + 4 + 4.
and □, the rules are as follows:
when x is odd, x □ y = 2 - x * 2 - y;
otherwise, x □ y = (y ⊕ y + x) - x * y.
and ♢, the rules are as follows:
on the real number field, x ♢ y ... | {
"game_data": {
"answer": "-1162",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 9 ♢ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 △，规则如下：
当x和y的和是奇数时，x △ y = y - y - x；
其他情况下，x △ y = 2 - x / x - y。
运算优先级：** > * = / = % = △ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 △ 1 + 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 1 + 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ♡，规则如下：
实数域上，x ♡ y = y / x - 2 - x。
和 ⊕，规则如下：
实数域上，x ⊕ y = y + x + 5 + 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: 6 ♡ 9 ⊕ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-5.166667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 9 ⊕ 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 x is even, x ♡ y = y * y * x + y;
otherwise, x ♡ y = y - x + x + x ** y.
and □, the rules are as follows:
when y is a multiple of 5, x □ y = 1 + 4 / x ♡ y;
otherwise, x □ y = y * y * x.
The precedence of operations: □ > ** = ♡ > * = / = % > + = -。
Parentheses have the hi... | {
"game_data": {
"answer": "340",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 1 ♡ 2 * 10",
"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 * 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
Please fill your final answer... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = (x - y * y) - x。
和 □，规则如下：
当x和y的和是奇数时，x □ y = (y ◎ x - y) / y；
其他情况下，x □ y = x + 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: 10 ◎ 7 ** 2 □ 4 ◎ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-100",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◎ 7 ** 2 □ 4 ◎ 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5的倍数时，x ◇ y = y * y - x / x + y；
其他情况下，x ◇ y = abs(y) * y - x - y。
运算优先级：◇ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": nu... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = x - (x + y)。
和 ○，规则如下：
实数域上，x ○ y = x / y * x。
和 ⊗，规则如下：
实数域上，x ⊗ y = x + abs(1 - y)。
运算优先级：** = ⊗ > * = / = % = ○ > + = - = ☆。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ☆ 3 ⊗ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 3 ⊗ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = x - y ** x + y。
和 ♡，规则如下：
当x等于y时，x ♡ y = (x + y) + 4 - x；
其他情况下，x ♡ y = 5 * x ⊕ y。
和 △，规则如下：
当y是5的倍数时，x △ y = (y ⊕ y) / x；
其他情况下，x △ y = 5 / 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: 6 ♡ 4 △ 8 ⊕ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.641214",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 4 △ 8 ⊕ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = y * x - y.
and ○, the rules are as follows:
when x is a multiple of 5, x ○ y = 1 / y + x * y;
otherwise, x ○ y = y ♢ y - x + x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x * y + x ○ y.
The precedence of operations: ♡ ... | {
"game_data": {
"answer": "20.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 2 ♢ 10 ○ 2",
"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 and y are both even, x ○ y = y ** (x * y / x ** y);
otherwise, x ○ y = abs(1 + y + x / 5).
The precedence of operations: ** > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the v... | {
"game_data": {
"answer": "1.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 * 7 ○ 6",
"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等于y时，x ◎ y = x / y；
其他情况下，x ◎ y = (x + x - y) + y。
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 = 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 ♢ 1 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 7 ♢ 1 ◎ 4",
"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 = (y * x * 4 + x)；
其他情况下，x ☆ y = x + y * x。
和 ♡，规则如下：
当x是3的倍数时，x ♡ y = x ☆ y - 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: 4 ☆ 9 % 5 + 10 ♡ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "232",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ☆ 9 % 5 + 10 ♡ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = x * y。
和 △，规则如下：
实数域上，x △ y = x + y + x。
和 □，规则如下：
实数域上，x □ y = 2 * y ** x。
运算优先级：⊗ > ** > * = / = % > + = - = △ = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ⊗ 5 △ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "40",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊗ 5 △ 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 x is equal to y, x △ y = x + y;
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: 7 / 4 △... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 / 4 △ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ◇，规则如下：
当x是奇数时，x ◇ y = x - (x + y)；
其他情况下，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 ◇ 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 ◇ 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 / y.
and ◇, the rules are as follows:
when x is odd, x ◇ y = y + x * x;
otherwise, x ◇ y = abs(x) * y + 5.
The precedence of operations: ◇ > ** = □ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the pare... | {
"game_data": {
"answer": "0.081395",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 9 ◇ 5",
"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和y的和是偶数时，x ◇ y = x * y - 3；
其他情况下，x ◇ y = y + y - x。
运算优先级：** > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = 3 + y + 3 + x。
和 ○，规则如下：
实数域上，x ○ y = (x + x * x + y)。
和 ♢，规则如下：
当x大于y时，x ♢ y = y ○ x / 5 * x；
其他情况下，x ♢ y = y - x * y * x。
运算优先级：♢ > ⊙ > ** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ♢ 5 ⊙ 9 ○ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 5 ⊙ 9 ○ 6",
"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是偶数时，x □ y = y / x / x；
其他情况下，x □ y = abs(x - y + y)。
和 ⊕，规则如下：
实数域上，x ⊕ y = x - y - y。
运算优先级：□ > ** > * = / = % > + = - = ⊕。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"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 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = y * (y + x) * y.
and ⊕, the rules are as follows:
when y is a multiple of 5, x ⊕ y = x / y ** y + x;
otherwise, x ⊕ y = y * y + x * y.
and ◎, the rules are as follows:
when the sum of x and y is even, x ◎ y = (x ⊗ y * x);
otherwise, x ◎ y = ... | {
"game_data": {
"answer": "242",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◎ 10 ⊕ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | Define ⊙, the rules are as follows:
when x is less than y, x ⊙ y = 1 / y - x;
otherwise, x ⊙ y = y + x - x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y / 1 + x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = abs(x * y) ** 2.
The precedence of operations: ♢ > ⊙ > ** >... | {
"game_data": {
"answer": "10.428571",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 / 7 ◇ 8 ♢ 9 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = y - y - x - x ** y。
和 ◎，规则如下：
当y是奇数时，x ◎ y = x - abs(x * y) + x；
其他情况下，x ◎ y = x + 1 + y ** 2 + x。
和 ◇，规则如下：
实数域上，x ◇ y = 1 - 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 ⊙ 2 + 7 ◇ 9 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-26.2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 2 + 7 ◇ 9 ◎ 4",
"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 / x.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 3 △ 2 - 9
Please fill your fina... | {
"game_data": {
"answer": "-6.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 2 - 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ▽，规则如下：
当y是5的倍数时，x ▽ y = x * y * 3；
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: 9 / 10 ▽ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 / 10 ▽ 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:
when the sum of x and y is odd, x ⊕ y = x + y ** y;
otherwise, x ⊕ y = y + x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = y * x - 2.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = y / y ☆ (x).
The precedence of operations: ⊕ > ☆ = ⊗ ... | {
"game_data": {
"answer": "1.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊗ 1 ⊕ 10 * 2 ☆ 5",
"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 = y - x - y - x - y.
and △, the rules are as follows:
when y is even, x △ y = x + y - 4 ⊙ 4 * y;
otherwise, x △ y = y - (x) ⊙ y / y + y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x ⊙ x + y + x.
The precedence of operati... | {
"game_data": {
"answer": "302.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 △ 5 ▽ 10 * 10 ⊙ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = 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: 8
Please fill your final answer... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ⊕, the rules are as follows:
when x is less than y, x ⊕ y = 1 * x / y / y;
otherwise, x ⊕ y = y - y - x * x.
and △, the rules are as follows:
when y is a multiple of 5, x △ y = x - y + y ⊕ x;
otherwise, x △ y = x * y ⊕ x + y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = y - 4 - y ... | {
"game_data": {
"answer": "-17.777778",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 4 ⊕ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ⊗，规则如下：
当y是奇数时，x ⊗ y = x + y - x + 3；
其他情况下，x ⊗ y = y * x / (y / x)。
和 □，规则如下：
当y是偶数时，x □ y = y ⊗ y + x + y；
其他情况下，x □ y = 1 / 2 - y * x。
和 ▽，规则如下：
当x和y都是奇数时，x ▽ y = x + x * y；
其他情况下，x ▽ y = y + x + y。
运算优先级：⊗ = □ = ▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ⊗ 8 ▽ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "61",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊗ 8 ▽ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ⊙, the rules are as follows:
when y is a multiple of 5, x ⊙ y = y - x - x;
otherwise, x ⊙ y = (y) / y - x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y - y + y * x.
and ○, the rules are as follows:
on the real number field, x ○ y = x / 1 ⊕ y * x.
The precedence of operations: ○ > ... | {
"game_data": {
"answer": "-36",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 1 ⊕ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = y + y - y + x.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 2
Please fill your final an... | {
"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 | Define ⊙, the rules are as follows:
when x and y are both odd, x ⊙ y = 2 + x + y * x;
otherwise, x ⊙ y = y * y * 1 / x.
and ⊕, the rules are as follows:
when x is less than y, x ⊕ y = y * (y * y - x);
otherwise, x ⊕ y = 3 - (y * x).
and □, the rules are as follows:
when x is greater than y, x □ y = abs(y + x ... | {
"game_data": {
"answer": "-837",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 10 ⊕ 9 □ 6",
"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 + x.
and ⊙, the rules are as follows:
when y is odd, x ⊙ y = y ☆ x / y;
otherwise, x ⊙ y = y * x ☆ x.
The precedence of operations: ⊙ > ** > * = / = % = ☆ > + = -。
Parentheses have the highest priority, and the expression inside the paren... | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 4 ** 4 ⊙ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x * y + y.
and ▽, the rules are as follows:
when x is a multiple of 5, x ▽ y = x + x ⊕ y * x;
otherwise, x ▽ y = y + y - y + x.
and △, the rules are as follows:
when y is a multiple of 3, x △ y = y - (y ▽ x * y);
otherwise, x △ y = x + y - ... | {
"game_data": {
"answer": "-525",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 2 ⊕ 4 ▽ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ☆，规则如下：
实数域上，x ☆ y = 3 / x - y。
和 ⊕，规则如下：
实数域上，x ⊕ y = 5 / 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 ☆ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-7.542373",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 6 ☆ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ♢，规则如下：
当y是奇数时，x ♢ y = 2 * y * x；
其他情况下，x ♢ y = y + y - x * y。
和 □，规则如下：
实数域上，x □ y = y - 4 - y * x。
和 ⊗，规则如下：
当x是3的倍数时，x ⊗ y = 5 / y □ x；
其他情况下，x ⊗ y = x + x - (x) + y。
运算优先级：□ > ⊗ > ** > * = / = % = ♢ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ⊗ 8 □ 8 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "216",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊗ 8 □ 8 ♢ 4",
"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 - 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: 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 - 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 / 9 ◇ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 / 9 ◇ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = 4 - 5 * x - y。
和 ⊙，规则如下：
实数域上，x ⊙ y = (x - y - x)。
和 ⊕，规则如下：
当y是5的倍数时，x ⊕ y = y ⊙ x + x - x；
其他情况下，x ⊕ y = y * x - y ** x。
运算优先级：⊙ > ▽ > ** > * = / = % = ⊕ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ▽ 7 ⊙ 2 ⊕ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 7 ⊙ 2 ⊕ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
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