env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define ♢, the rules are as follows:
when x and y are both even, x ♢ y = y - x - y;
otherwise, x ♢ y = (x - y - y).
and ◎, the rules are as follows:
on the real number field, x ◎ y = y * y ♢ x.
and △, the rules are as follows:
on the real number field, x △ y = (y + x).
The precedence of operations: ◎ = △ > ** > ... | {
"game_data": {
"answer": "-2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 8 ◎ 8 △ 8",
"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 odd, x ☆ y = y * y + y / x - 3;
otherwise, x ☆ y = x - y ** x.
and ♢, the rules are as follows:
when y is odd, x ♢ y = y + y + 3 + y / x;
otherwise, x ♢ y = y * x - x + x + y.
The precedence of operations: ☆ > ** > * = / = % = ♢ > + = -。
Parentheses have the highest... | {
"game_data": {
"answer": "399",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 7 ♢ 8 - 10 / 2",
"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是奇数时，x ☆ y = (x - y * y)；
其他情况下，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: 3 ▽ 4 ☆ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-51",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ▽ 4 ☆ 3",
"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。
和 ♡，规则如下：
实数域上，x ♡ y = y * y ⊗ x + 4。
和 ◇，规则如下：
当x是5的倍数时，x ◇ y = x - y - y - x；
其他情况下，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: 6 ♡ 3 ◇ 4 ⊗ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-29698",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 3 ◇ 4 ⊗ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = y * 2 - 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 ◇ 5
Please fill your fina... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 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y是5的倍数时，x ○ y = y + y + x * y；
其他情况下，x ○ y = 2 / x + 4 / y。
和 ⊙，规则如下：
当x大于y时，x ⊙ y = y / x + x * y；
其他情况下，x ⊙ y = y + x ** y。
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: 7 ♢ 3 ○ 9 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.290244",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♢ 3 ○ 9 ⊙ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ♡, the rules are as follows:
when x and y are both even, x ♡ y = y + x + y;
otherwise, x ♡ y = y + y * y + x.
and ♢, the rules are as follows:
when x is equal to y, x ♢ y = 4 * x + y ♡ x;
otherwise, x ♢ y = y ♡ y * x * x.
The precedence of operations: ♢ > ** > * = / = % > + = - = ♡。
Parentheses have the ... | {
"game_data": {
"answer": "1341",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth... |
logic-v2 | Define ○, the rules are as follows:
when the sum of x and y is even, 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 ex... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ○ 5 % 10",
"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 = y - 5 / x - y + y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = 2 + x + y + x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = 4 * abs(y + 2 + x).
The precedence of operations: ☆ > ** > * = / = % = ◎ > +... | {
"game_data": {
"answer": "60",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◎ 5 ◇ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x - 5 + y - y.
and ○, the rules are as follows:
when the sum of x and y is odd, x ○ y = (3 * y - 4 - y) - x;
otherwise, x ○ y = x ◎ 2 - y * y ** x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = (y ◎ x).
The precedence of ... | {
"game_data": {
"answer": "16385",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 8 ⊕ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = y + x + 4 / 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: 9 ◇ 7
Please fill your fina... | {
"game_data": {
"answer": "16.571429",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define ⊗, the rules are as follows:
when y is a multiple of 5, x ⊗ y = y ** y - x;
otherwise, x ⊗ y = y + x.
and ☆, the rules are as follows:
when x and y are both even, x ☆ y = x + x + y;
otherwise, x ☆ y = y / y * (x).
and ♢, the rules are as follows:
when y is odd, x ♢ y = abs(x + y);
otherwise, x ♢ y = ... | {
"game_data": {
"answer": "0.625",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 / 8 ☆ 1 ⊗ 10 ♢ 1 / 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = (x + x) - x + y。
和 ♢，规则如下：
当x是5的倍数时，x ♢ y = x * y；
其他情况下，x ♢ y = y - (y + y) * x。
和 ◎，规则如下：
当y是偶数时，x ◎ y = y * x + y；
其他情况下，x ◎ y = x - y ** x + x。
运算优先级：♢ > ** = ◎ > * = / = % > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 * 4 ⊙ 9 ♢ 1 ◎ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 * 4 ⊙ 9 ♢ 1 ◎ 7",
"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 = 3 - x * y - x。
和 □，规则如下：
实数域上，x □ y = y + x ⊗ x ** x。
和 ▽，规则如下：
实数域上，x ▽ y = y □ x - y - 5。
运算优先级：** = ⊗ = □ = ▽ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ▽ 10 ⊗ 4 □ 9 ⊗ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ▽ 10 ⊗ 4 □ 9 ⊗ 1",
"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 = x + 5 * (y * x * x).
and ◇, the rules are as follows:
when x is equal to y, x ◇ y = 4 + x + x ** x * y;
otherwise, x ◇ y = (y) / x.
and □, the rules are as follows:
when x is less than y, x □ y = x ** y - x;
otherwise, x □ y = x * 5 * y.
Th... | {
"game_data": {
"answer": "0.002439",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 2 □ 4 ◇ 8 % 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ▽, the rules are as follows:
when x is a multiple of 3, x ▽ y = abs(y ** y * 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 ... | {
"game_data": {
"answer": "-6.71",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 / 10 - 10 ▽ 3",
"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 = y - x / x * x - x。
和 ⊙，规则如下：
当x等于y时，x ⊙ y = x + y / y ◎ x * x；
其他情况下，x ⊙ y = y * y * y * abs(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 ◎ 9 - 5 ⊙ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊙ 4 ◎ 9 - 5 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = (x * x + y).
The precedence of operations: ⊗ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4 + 1 ⊗ 6
Please fill your fi... | {
"game_data": {
"answer": "11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 + 1 ⊗ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y + (x) / x。
运算优先级：** > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ◇ 8 ◇ 7 ◇ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 8 ◇ 7 ◇ 3",
"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都是奇数时，x ♢ y = y - 5 + x；
其他情况下，x ♢ y = y + x + x。
和 ○，规则如下：
实数域上，x ○ y = abs(x + x) * y。
和 ⊗，规则如下：
实数域上，x ⊗ y = x ♢ y + y。
运算优先级：♢ > ○ = ⊗ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ⊗ 9 ○ 4 ♢ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1368",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 9 ○ 4 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ⊕, the rules are as follows:
when x and y are both odd, x ⊕ y = x ** x ** y;
otherwise, x ⊕ y = y * x.
and ⊙, the rules are as follows:
when y is a multiple of 5, x ⊙ y = x - x / y;
otherwise, x ⊙ y = y + y + x.
and ○, the rules are as follows:
on the real number field, x ○ y = y - x + x.
The precedenc... | {
"game_data": {
"answer": "80",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊙ 7 ○ 8 ⊕ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y * x - 5。
和 ♡，规则如下：
实数域上，x ♡ y = x + x - y。
运算优先级：** = ♡ > * = / = % = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ◇ 6 ◇ 4 + 5 ♡ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "146",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◇ 6 ◇ 4 + 5 ♡ 7",
"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 = x * x - x - y。
和 ◎，规则如下：
实数域上，x ◎ y = y - x ⊗ x ** x。
和 ◇，规则如下：
实数域上，x ◇ y = y ⊗ x - y * y。
运算优先级：◎ = ◇ > ** > * = / = % > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 ◎ 10 ◇ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3103",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 10 ◇ 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5的倍数时，x △ y = y + x；
其他情况下，x △ y = 2 / 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 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都是偶数时，x ◎ y = x - y * y + (y)；
其他情况下，x ◎ y = x + y + y - y + x。
和 ♢，规则如下：
实数域上，x ♢ y = x + 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: 8 % 7 ◎ 2 ♢ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 % 7 ◎ 2 ♢ 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 + (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 ▽ 8 * 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "56",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 8 * 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ☆，规则如下：
当y是5的倍数时，x ☆ y = y + 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: 5 ☆ 10 % 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 10 % 6",
"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的和是奇数时，x ⊙ y = y - abs(x) * 5 - y；
其他情况下，x ⊙ y = x / y - x - x。
和 ♢，规则如下：
实数域上，x ♢ y = y + x。
和 ♡，规则如下：
当x等于y时，x ♡ y = y + x ♢ x；
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: 7 * 1 ⊙ 10 ♢ 2 ♡ 9
请将最终答案填入\boxed{}中。 | {
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"expression": "7 * 1 ⊙ 10 ♢ 2 ♡ 9",
"fill_length": null,
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"n... |
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 ⊙ (x).
and ◎, the rules are as follows:
when the sum of x and y is odd, x ◎ y = abs(x / y - x);
otherwise, x ◎ y = (y - x * x).
The precedence of operations... | {
"game_data": {
"answer": "-45.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 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：
当x大于y时，x ◇ y = y / x + x；
其他情况下，x ◇ y = y + x。
运算优先级：** = ◇ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 % 5 % 3 ◇ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 % 5 % 3 ◇ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = y + (y + y + x) - y.
and △, the rules are as follows:
when the sum of x and y is odd, x △ y = x / x + y ☆ x * x;
otherwise, x △ y = x * x - 1 + y.
The precedence of operations: ☆ > △ > ** > * = / = % > + = -。
Parentheses have the highest priori... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 △ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": ... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = y - 2 - y * x - 3.
and ⊕, the rules are as follows:
when x is a multiple of 3, x ⊕ y = x + 5 + x - x + y;
otherwise, x ⊕ y = y ** y ⊙ x - y * x.
and ○, the rules are as follows:
on the real number field, x ○ y = x + y - y + x + x.
The precede... | {
"game_data": {
"answer": "-23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ○ 3 ⊕ 5 ⊙ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ♡，规则如下：
当x和y都是奇数时，x ♡ y = abs(x) * y；
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: 10 + 6 ♡ 5 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "40",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 + 6 ♡ 5 □ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 □，规则如下：
当x等于y时，x □ y = x + x - y / x；
其他情况下，x □ y = x * y * abs(1 - y)。
和 ⊗，规则如下：
实数域上，x ⊗ y = x □ 2 + y。
运算优先级：□ > ** = ⊗ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ⊗ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊗ 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:
on the real number field, x ♢ y = 3 - x - 5 - x * y.
and ⊙, the rules are as follows:
when x is odd, x ⊙ y = y - x - x ♢ x + x;
otherwise, x ⊙ y = abs(x * y * y - y - y).
and ◎, the rules are as follows:
on the real number field, x ◎ y = (1 / y + x + y ♢ x).
The precedence of... | {
"game_data": {
"answer": "227.96875",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 1 ◎ 6 ♢ 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5的倍数时，x ◇ y = y + x；
其他情况下，x ◇ y = x * x / y - y。
运算优先级：** > * = / = % = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ◇ 8 % 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◇ 8 % 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:
on the real number field, x ♡ y = x - y * 3 + y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x + 3 * y - x.
The precedence of operations: ** = ◎ > * = / = % > + = - = ♡。
Parentheses have the highest priority, and the expression inside the parentheses is cal... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 3 ◎ 10 ◎ 1 % 1",
"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 ** x * y + y；
其他情况下，x □ y = x - x + y + y。
和 ♡，规则如下：
当y是3的倍数时，x ♡ y = 4 * y - 1 □ x；
其他情况下，x ♡ y = x □ 3 * y - x。
运算优先级：** = □ > * = / = % > + = - = ♡。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 - 3 □ 10 ♡ 4 + 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "34",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 - 3 □ 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：
当x小于y时，x ▽ y = abs(y) + x；
其他情况下，x ▽ y = (y + x + 3)。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ▽ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth"... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y + x - y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x * x - y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x ** abs(y) - 4.
The precedence of operations: ** > * = / = % = ▽ > + = - = ⊕ = ☆。
Paren... | {
"game_data": {
"answer": "20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊕ 3 ▽ 1 ☆ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 ◎，规则如下：
当x小于y时，x ◎ y = x * y * y；
其他情况下，x ◎ y = (x - y * y)。
和 ⊕，规则如下：
当y是奇数时，x ⊕ y = x * x * y；
其他情况下，x ⊕ y = x + y。
运算优先级：** = ◎ = ⊕ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ⊕ 6 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 6 ◎ 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 = y - x + x + x.
and ◇, the rules are as follows:
when y is a multiple of 5, x ◇ y = y ♢ x ** x - 1;
otherwise, x ◇ y = (y / x) - x * x.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x ** y + y + y.
The precedence of operat... | {
"game_data": {
"answer": "1264.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 - 7 ♢ 6 ◇ 6 ⊙ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y - 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 △ 3 + 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 3 + 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ⊗，规则如下：
当x等于y时，x ⊗ y = x ** 4 - x + (y + 4)；
其他情况下，x ⊗ y = x + y + y - x。
和 □，规则如下：
实数域上，x □ y = y * y - 4 ⊗ x。
和 ♡，规则如下：
当x和y都是奇数时，x ♡ y = y + (x - y) + y - y；
其他情况下，x ♡ y = 5 - 3 - x - y。
运算优先级：□ > ♡ > ** > * = / = % > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 □ 3 ♡ 4 ⊗ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 3 ♡ 4 ⊗ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x + y + 1.
and ♢, the rules are as follows:
on the real number field, x ♢ y = y * y - x + x - y.
The precedence of operations: ♢ > ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is cal... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ▽ 10 ♢ 10 % 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ⊙, the rules are as follows:
when x is a multiple of 3, x ⊙ y = 4 / y - x;
otherwise, x ⊙ y = abs(x / y).
and □, the rules are as follows:
when x is odd, x □ y = x ⊙ y;
otherwise, x □ y = x ⊙ y.
and ○, the rules are as follows:
when x is equal to y, x ○ y = x / y;
otherwise, x ○ y = y * x.
The preced... | {
"game_data": {
"answer": "0.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 4 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
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 equal to y, x ⊕ y = x + y ⊗ 3;
otherwise, x ⊕ y = 2 / y - x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = 1 - x - y.
The precedence of operations: ▽ > ⊕ > ** = ⊗ > * = / ... | {
"game_data": {
"answer": "-2.4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 3 ▽ 8 ⊗ 2",
"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。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 □，规则如下：
当x小于y时，x □ y = y * y * x * x；
其他情况下，x □ y = x + x * abs(y + x)。
和 ☆，规则如下：
实数域上，x ☆ y = y - x - y。
和 △，规则如下：
当y是奇数时，x △ y = x + y + abs(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: 1 △ 9 ☆ 5 ☆ 9 □ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "198",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 △ 9 ☆ 5 ☆ 9 □ 6",
"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的和是偶数时，x ♡ y = x - x - x - y + x；
其他情况下，x ♡ y = y - x * y - x - y。
和 ◇，规则如下：
实数域上，x ◇ y = y + x * x * y + y。
运算优先级：** = ♡ > * = / = % = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 + 4 ♡ 1 ◇ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "270",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 + 4 ♡ 1 ◇ 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 - y - y * 3。
和 ⊙，规则如下：
当x是3的倍数时，x ⊙ y = x ◎ y - y + y；
其他情况下，x ⊙ y = 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 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3的倍数时，x □ y = y - y + (x) * y - y；
其他情况下，x □ y = y - y - x + y + y。
和 ⊗，规则如下：
当x是偶数时，x ⊗ y = (x - y) + x；
其他情况下，x ⊗ y = y + x + 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: 2 ⊗ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊗ 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 * 2 + 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 calcu... | {
"game_data": {
"answer": "171.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ○ 2 ☆ 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 = x + 5 + y。
和 ♢，规则如下：
当x和y的和是偶数时，x ♢ y = x ⊙ y - x；
其他情况下，x ♢ y = y * x ⊙ y。
和 ▽，规则如下：
实数域上，x ▽ y = x + abs(x * y)。
运算优先级：⊙ > ** = ♢ > * = / = % = ▽ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 - 4 ♢ 4 ▽ 4 ⊙ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-134",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 - 4 ♢ 4 ▽ 4 ⊙ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = x * (y).
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 6 ◇ 4 + 6 ◇ 8
Please fill your fi... | {
"game_data": {
"answer": "72",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◇ 4 + 6 ◇ 8",
"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 even, x ◇ y = 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: 9
Pleas... | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ⊗，规则如下：
当x是3的倍数时，x ⊗ y = y - x / y + y + y；
其他情况下，x ⊗ y = y / (x) + y / x。
和 △，规则如下：
实数域上，x △ y = y - x - y - x * y。
和 ◇，规则如下：
实数域上，x ◇ y = y * y - x + y - y。
运算优先级：◇ > ** > * = / = % > + = - = ⊗ = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ◇ 6 △ 8 ⊗ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "61",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 6 △ 8 ⊗ 9",
"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 is greater than y, x ♢ y = abs(2 + x + x * y);
otherwise, x ♢ y = x + y - y + x.
and ⊕, the rules are as follows:
when y is a multiple of 3, x ⊕ y = x - 5 + x * y;
otherwise, x ⊕ y = (x - y) * x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = (y +... | {
"game_data": {
"answer": "163",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 4 ♡ 3 + 7 ♢ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | Define ⊕, the rules are as follows:
when x is a multiple of 5, x ⊕ y = x * x + y * y - x;
otherwise, x ⊕ y = y * y * x.
and ☆, the rules are as follows:
when the sum of x and y is even, x ☆ y = y - x + y * x - y;
otherwise, x ☆ y = 3 * (x - 4) + y.
and ⊙, the rules are as follows:
when x is greater than y, x ⊙ ... | {
"game_data": {
"answer": "-82",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 7 ⊙ 8 ⊕ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = y - y + y - x + abs(y).
and ▽, the rules are as follows:
on the real number field, x ▽ y = x + 3 - y / 5 - 3.
The precedence of operations: ☆ > ** > * = / = % > + = - = ▽。
Parentheses have the highest priority, and the expression inside the paren... | {
"game_data": {
"answer": "63",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ** 7 ☆ 5 ▽ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x - abs(x + y).
and △, the rules are as follows:
on the real number field, x △ y = y / x * y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = x * x + y.
The precedence of operations: △ > ** = ◇ > * = / = % > + = - = ⊕。
Parent... | {
"game_data": {
"answer": "-0.672043",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 10 / 3 ◇ 3 △ 5 △ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null... |
logic-v2 | 定义 ⊕，规则如下：
当x是奇数时，x ⊕ y = 4 * y * x；
其他情况下，x ⊕ y = y - x * 5。
和 ☆，规则如下：
实数域上，x ☆ y = y + x ⊕ 2。
和 □，规则如下：
实数域上，x □ y = x ☆ y。
运算优先级：** = □ > * = / = % > + = - = ⊕ = ☆。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 - 4 ⊕ 9 □ 5 ☆ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-4088",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 - 4 ⊕ 9 □ 5 ☆ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | 定义 ○，规则如下：
当x是3的倍数时，x ○ y = x - y / x；
其他情况下，x ○ y = x - y + 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: 6 ○ 5 - 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.166667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 5 - 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y / (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: 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 = abs(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 + (x)。
运算优先级：☆ > ** > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ☆ 3 ◇ 3 - 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 3 ◇ 3 - 6",
"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 even, x ▽ y = x - x * x - x - y;
otherwise, x ▽ y = x + x + x / 4 - y.
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": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 - 10 ** 8 ▽ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ▽, the rules are as follows:
when the sum of x and y is even, x ▽ y = x + y;
otherwise, x ▽ y = 5 - y - x.
The precedence of operations: ** = ▽ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expressi... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6",
"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 = abs(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 * 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "400",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 5 * 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x * y - 2 / 3.
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 % 6 ▽ 7
Please fill your ... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 % 6 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = abs(y ** y + x) + y + x.
and □, the rules are as follows:
on the real number field, x □ y = y * 1 + y * x.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y + (y * x) □ x.
The precedence of operations: □ > ♢ = ⊙ > ** > * = / ... | {
"game_data": {
"answer": "816",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 □ 10 ⊙ 5 ♢ 3 / 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ◇, the rules are as follows:
when x is a multiple of 3, x ◇ y = y * x * 2 - y;
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 expres... | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◇ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ♢, the rules are as follows:
when x is odd, x ♢ y = (y) ** y ** x;
otherwise, x ♢ y = y * x * y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x + y * x.
and ▽, the rules are as follows:
when x is even, x ▽ y = x - 4 * y;
otherwise, x ▽ y = abs(x / x * y).
The precedence of operati... | {
"game_data": {
"answer": "54",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 7 ▽ 5 - 6 ☆ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = 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 ○ 10 ○ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 10 ○ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ⊙，规则如下：
当y是5的倍数时，x ⊙ y = 3 - y ** abs(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 - 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: 2 ☆ 7 ⊙ 7 * 7 ○ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2401",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 7 ⊙ 7 * 7 ○ 7",
"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 = x + y / y.
and ♢, the rules are as follows:
when the sum of x and y is odd, x ♢ y = y * y + y * x;
otherwise, x ♢ y = x - (y - y).
The precedence of operations: ♢ > ** = □ > * = / = % > + = -。
Parentheses have the highest priority, and the expr... | {
"game_data": {
"answer": "24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ♢ 2 □ 7 □ 8",
"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 = 2 * 1 + y - x - x；
其他情况下，x △ y = x + 2 ** y * x + 3。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 △ 2 % 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 2 % 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ○, the rules are as follows:
when the sum of x and y is even, x ○ y = x / x * y + y;
otherwise, x ○ y = abs(4 * x) * y * x.
The precedence of operations: ○ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the valu... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = y - y + x。
和 ▽，规则如下：
当y是3的倍数时，x ▽ y = x ♢ x - x * y * x；
其他情况下，x ▽ y = y ** abs(x * x) + x。
和 □，规则如下：
实数域上，x □ y = 3 + x - 5 * 4 + y。
运算优先级：▽ > ** = □ > * = / = % > + = - = ♢。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 □ 10 ▽ 1 ♢ 7 ▽ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 10 ▽ 1 ♢ 7 ▽ 3",
"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和y都是偶数时，x ◎ y = 3 + x + y + 4；
其他情况下，x ◎ y = x * abs(x) - y。
和 ⊗，规则如下：
当x是偶数时，x ⊗ y = (y ◎ 2 - 1 + x)；
其他情况下，x ⊗ y = 1 - x - y * 5。
运算优先级：◎ > ** > * = / = % > + = - = ⊗。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ⊗ 4 ◎ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "176",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 4 ◎ 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y是3的倍数时，x ◇ y = y + abs(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: 7 ◇ 3 ◇ 5 * 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2.857143",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◇ 3 ◇ 5 * 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是5的倍数时，x ◎ y = y + 1 * x * y；
其他情况下，x ◎ y = x * y - y。
和 ⊗，规则如下：
当y是奇数时，x ⊗ y = x / 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: 5 ◎ 9 ⊗ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "106",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 9 ⊗ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊗，规则如下：
当x和y都是偶数时，x ⊗ y = 2 + y ** x；
其他情况下，x ⊗ y = y * x / y。
和 ☆，规则如下：
当x是5的倍数时，x ☆ y = y + x + x；
其他情况下，x ☆ y = x + y。
和 ♡，规则如下：
当y是5的倍数时，x ♡ y = y * x ☆ y；
其他情况下，x ♡ y = y ⊗ x * 5。
运算优先级：⊗ > ** = ♡ > * = / = % = ☆ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 ☆ 4 ♡ 7 ⊗ 5 ⊗ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "42",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ☆ 4 ♡ 7 ⊗ 5 ⊗ 8",
"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是偶数时，x ♡ y = x / x * y；
其他情况下，x ♡ y = y + x - y。
和 ⊙，规则如下：
实数域上，x ⊙ y = x * y。
运算优先级：** = ♡ = ⊙ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ♡ 8 ⊙ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "32",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 8 ⊙ 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 + 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
Please fill your final an... | {
"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：
当x是5的倍数时，x △ y = y - y - 1 - x；
其他情况下，x △ y = x + abs(y / 3) + x + y。
运算优先级：** > * = / = % = △ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = 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 / 4 - 8 △ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "56.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 / 4 - 8 △ 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x大于y时，x △ y = y + x；
其他情况下，x △ y = y * y - y + y + x。
运算优先级：** > * = / = % > + = - = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 △ 2
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",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | 定义 ⊗，规则如下：
当y是偶数时，x ⊗ y = x * 3 - y；
其他情况下，x ⊗ y = y - x - 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) ⊕ 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 ⊗ 1 ⊕ 3 - 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2655",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 7 ⊗ 1 ⊕ 3 - 3",
"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 = 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: 7 ... | {
"game_data": {
"answer": "0.388889",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 / 2 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = y * x - y + x * x。
和 △，规则如下：
实数域上，x △ y = (4 ** x + y + x)。
和 ⊙，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 = 4 + 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 ⊙ 3 △ 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 ⊙ 3 △ 8",
"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 = abs(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 ♢ 7
Please fill your fi... | {
"game_data": {
"answer": "1152",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ♢ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = y + x * y * 1 - x.
and △, the rules are as follows:
on the real number field, x △ y = x ◎ y - x + x.
The precedence of operations: ◎ > ** = △ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is... | {
"game_data": {
"answer": "-136",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 + 7 - 8 △ 3 ◎ 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.
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 * 10 △ 8 % 3
Please fill your... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 * 10 △ 8 % 3",
"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 = 2 + x - y - y ** 3;
otherwise, x ⊗ y = x - x * y + x + x.
and ◎, the rules are as follows:
when y is a multiple of 3, x ◎ y = x ** y * x - x + 5;
otherwise, x ◎ y = y + 3 ⊗ x + x.
and ♢, the rules are as follows:
on the real number field, x ♢ y = abs... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 4 ⊗ 10 ♢ 3 % 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = (y) + x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = (y - y) + x + 3.
and □, the rules are as follows:
when x is equal to y, x □ y = y ♢ y / x;
otherwise, x □ y = (y ♢ y) - x.
The precedence of operations: ** = ♢ > * = ... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ▽ 7 ♢ 7 □ 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 * 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = x * y ** x + 1.
and ◇, the rules are as follows:
on the real number field, x ◇ y = 1 - x * y.
and △, the rules are as follows:
when the sum of x and y is even, x △ y = 4 / y - x * 3;
otherwise, x △ y = y + y + x + 2.
The precedence of operati... | {
"game_data": {
"answer": "234.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 6 ◇ 10",
"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 = y * x - x。
和 ◇，规则如下：
当y是偶数时，x ◇ y = y * abs(y + x)；
其他情况下，x ◇ y = x + y - x。
和 △，规则如下：
当x大于y时，x △ y = y + x；
其他情况下，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 △ 3 ◇ 6 ⊙ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "60",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 △ 3 ◇ 6 ⊙ 3",
"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 odd, x ⊙ y = y / (x) * x;
otherwise, x ⊙ y = x * (y).
and □, the rules are as follows:
on the real number field, x □ y = (x) ⊙ y + x.
and △, the rules are as follows:
when y is a multiple of 3, x △ y = y * x * y;
otherwise, x △ y = x ⊙ x * y.
The precedence of ope... | {
"game_data": {
"answer": "195",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 1 □ 6 △ 4 - 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | 定义 ♡，规则如下：
当y是5的倍数时，x ♡ y = (x / 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 - x * x + y - x。
运算优先级：♡ > ** = △ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 △ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-77",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth"... |
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