messages list | ground_truth string | dataset string |
|---|---|---|
[
{
"content": "Divide the letters from {'s': 4, 'k': 1, 'y': 2, 'i': 1} into 4 distinctively labeled boxes with sizes [1, 3, 2, 2]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96 | MATH |
[
{
"content": "You have {'m': 1, 's': 2, 'z': 3, 'p': 4} and need to distribute them into 4 different boxes with capacities [1, 3, 5, 1]. In how many ways can this be done?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
[
{
"content": "Divide the letters from {'f': 1, 'a': 4, 'w': 2, 'i': 1} into 4 distinctively labeled boxes with sizes [2, 3, 2, 1]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96 | MATH |
[
{
"content": "Given the letters {'u': 3, 'g': 3, 'n': 2, 'd': 2}, place them into 4 indistinguishable boxes with sizes [2, 1, 5, 2]. In how many ways can you do this?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 150 | MATH |
[
{
"content": "Given the letters {'d': 4, 'a': 4, 'c': 1, 'v': 1}, place them into 4 labeled boxes with sizes [1, 2, 4, 3]. How many distinct arrangements are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 174 | MATH |
[
{
"content": "Given the letters {'v': 2, 'h': 2, 'w': 3, 'f': 1}, place them into 4 indistinguishable boxes with sizes [3, 2, 1, 2]. In how many ways can you do this?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 81 | MATH |
[
{
"content": "Given the letters {'p': 1, 's': 3, 'i': 1, 'n': 4}, place them into 4 labeled boxes with sizes [2, 3, 1, 3]. How many distinct arrangements are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 145 | MATH |
[
{
"content": "Divide the letters from {'w': 3, 'd': 4, 'x': 2, 't': 1} into 4 distinctively labeled boxes with sizes [2, 4, 1, 3]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 261 | MATH |
[
{
"content": "Divide the letters from {'f': 4, 'v': 2, 'b': 1, 'a': 3} into 4 undistinguishable boxes with sizes [2, 2, 3, 3]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 107 | MATH |
[
{
"content": "Distribute the letters {'c': 2, 'x': 2, 's': 3, 'l': 2} among 4 identical containers that can hold [2, 2, 2, 3] letters respectively. How many different arrangements exist?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 78 | MATH |
[
{
"content": "Distribute the letters {'r': 3, 'b': 3, 'l': 2, 'e': 2} among 4 distinguishable boxes with capacities [4, 2, 2, 2]. How many different distributions exist?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 517 | MATH |
[
{
"content": "Given the letters {'f': 1, 'e': 2, 'w': 5, 'd': 1}, place them into 4 labeled boxes with sizes [1, 2, 3, 3]. How many distinct arrangements are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 105 | MATH |
[
{
"content": "You have {'w': 2, 'j': 3, 'b': 2, 'l': 3} and need to distribute them into 4 different boxes with capacities [1, 3, 3, 3]. In how many ways can this be done?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 474 | MATH |
[
{
"content": "Given the letters {'f': 2, 'x': 5, 'i': 2, 'c': 1}, place them into 4 indistinguishable boxes with sizes [3, 2, 2, 3]. In how many ways can you do this?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 79 | MATH |
[
{
"content": "Given the letters {'b': 1, 'v': 2, 'h': 1, 'u': 5}, place them into 4 labeled boxes with sizes [3, 1, 3, 2]. How many distinct arrangements are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 105 | MATH |
[
{
"content": "You have {'l': 2, 'e': 3, 'b': 2, 'u': 3} and need to distribute them into 4 identical boxes with capacities [4, 3, 1, 2]. How many distinct distributions are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 392 | MATH |
[
{
"content": "Distribute the letters {'t': 3, 'a': 2, 'e': 2, 'w': 1} among 4 distinguishable boxes with capacities [4, 2, 1, 1]. How many different distributions exist?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96 | MATH |
[
{
"content": "Arrange the letters {'q': 4, 'k': 2, 'r': 1, 'z': 2} into 4 undistinguishable boxes with capacities [3, 2, 3, 1]. Find the total number of possible distributions.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 97 | MATH |
[
{
"content": "Distribute the letters {'u': 2, 'k': 2, 'i': 1, 'y': 4} among 4 distinguishable boxes with capacities [2, 1, 3, 3]. How many different distributions exist?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 188 | MATH |
[
{
"content": "Arrange the letters {'d': 4, 'v': 1, 'k': 3, 'c': 2} into 4 uniquely identified boxes that can hold [2, 2, 3, 3] letters respectively. Find the number of possible arrangements.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 392 | MATH |
[
{
"content": "You have {'t': 1, 'j': 3, 'b': 4, 'n': 1} and need to distribute them into 4 different boxes with capacities [2, 2, 3, 2]. In how many ways can this be done?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 181 | MATH |
[
{
"content": "Given the letters {'a': 2, 'g': 4, 'e': 2, 'y': 2}, place them into 4 indistinguishable boxes with sizes [2, 2, 3, 3]. In how many ways can you do this?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 145 | MATH |
[
{
"content": "Given the letters {'u': 3, 'q': 1, 'b': 2, 'z': 2}, place them into 4 indistinguishable boxes with sizes [1, 3, 3, 1]. In how many ways can you do this?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 35 | MATH |
[
{
"content": "Distribute the letters {'m': 2, 'r': 2, 'q': 3, 't': 2} among 4 distinguishable boxes with capacities [4, 2, 1, 2]. How many different distributions exist?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 243 | MATH |
[
{
"content": "Divide the letters from {'y': 3, 'x': 1, 'o': 3, 't': 2} into 4 distinctively labeled boxes with sizes [1, 4, 1, 3]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 145 | MATH |
[
{
"content": "Given the letters {'m': 2, 'c': 3, 't': 2, 'v': 1}, place them into 4 labeled boxes with sizes [1, 2, 3, 2]. How many distinct arrangements are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
[
{
"content": "Given the letters {'y': 1, 'j': 1, 'm': 3, 'g': 3}, place them into 4 indistinguishable boxes with sizes [3, 1, 3, 1]. In how many ways can you do this?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 27 | MATH |
[
{
"content": "You have {'i': 2, 'w': 2, 'd': 3, 't': 1} and need to distribute them into 4 different boxes with capacities [3, 2, 1, 2]. In how many ways can this be done?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
[
{
"content": "Arrange the letters {'n': 3, 'y': 4, 'v': 1, 'a': 1} into 4 undistinguishable boxes with capacities [2, 2, 2, 3]. Find the total number of possible distributions.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 36 | MATH |
[
{
"content": "Divide the letters from {'r': 2, 'n': 3, 'x': 2, 'j': 1} into 4 distinctively labeled boxes with sizes [5, 1, 1, 1]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 52 | MATH |
[
{
"content": "Distribute the letters {'x': 1, 'a': 1, 'f': 4, 's': 2} among 4 distinguishable boxes with capacities [2, 1, 2, 3]. How many different distributions exist?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96 | MATH |
[
{
"content": "Arrange the letters {'k': 2, 'i': 2, 'r': 2, 'x': 2} into 4 uniquely identified boxes that can hold [1, 3, 3, 1] letters respectively. Find the number of possible arrangements.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 148 | MATH |
[
{
"content": "Divide the letters from {'o': 3, 'p': 2, 's': 2, 'b': 2} into 4 undistinguishable boxes with sizes [3, 1, 4, 1]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 109 | MATH |
[
{
"content": "Given the letters {'h': 2, 'x': 3, 'j': 2, 'p': 3}, place them into 4 indistinguishable boxes with sizes [3, 2, 3, 2]. In how many ways can you do this?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 169 | MATH |
[
{
"content": "Arrange the letters {'y': 2, 'x': 2, 'd': 2, 'j': 2} into 4 uniquely identified boxes that can hold [1, 3, 3, 1] letters respectively. Find the number of possible arrangements.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 148 | MATH |
[
{
"content": "Divide the letters from {'g': 4, 'h': 1, 'y': 1, 'p': 4} into 4 distinctively labeled boxes with sizes [2, 2, 2, 4]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 214 | MATH |
[
{
"content": "You have {'l': 4, 'y': 2, 'b': 2, 'c': 1} and need to distribute them into 4 identical boxes with capacities [2, 2, 3, 2]. How many distinct distributions are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 49 | MATH |
[
{
"content": "Divide the letters from {'r': 1, 'h': 2, 'n': 1, 'q': 5} into 4 distinctively labeled boxes with sizes [3, 2, 3, 1]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 105 | MATH |
[
{
"content": "Distribute the letters {'j': 3, 'p': 1, 'z': 2, 'l': 2} among 4 distinguishable boxes with capacities [1, 3, 1, 3]. How many different distributions exist?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 116 | MATH |
[
{
"content": "Divide the letters from {'e': 4, 'r': 2, 'v': 1, 's': 1} into 4 distinctively labeled boxes with sizes [1, 3, 2, 2]. How many ways?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96 | MATH |
[
{
"content": "Arrange the letters {'e': 2, 'n': 3, 'y': 1, 'm': 2} into 4 uniquely identified boxes that can hold [2, 2, 2, 2] letters respectively. Find the number of possible arrangements.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 204 | MATH |
[
{
"content": "Arrange the letters {'z': 1, 'n': 2, 'e': 4, 'b': 1} into 4 uniquely identified boxes that can hold [2, 3, 1, 2] letters respectively. Find the number of possible arrangements.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 96 | MATH |
[
{
"content": "You have {'a': 2, 'r': 3, 'v': 3, 'x': 2} and need to distribute them into 4 identical boxes with capacities [3, 2, 2, 3]. How many distinct distributions are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 169 | MATH |
[
{
"content": "You have {'z': 2, 'n': 4, 'q': 2, 'd': 2} and need to distribute them into 4 different boxes with capacities [4, 2, 3, 1]. In how many ways can this be done?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 334 | MATH |
[
{
"content": "You have {'n': 2, 'e': 2, 'o': 2, 'q': 3} and need to distribute them into 4 identical boxes with capacities [2, 2, 4, 1]. How many distinct distributions are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 129 | MATH |
[
{
"content": "Distribute the letters {'y': 4, 'a': 1, 'w': 1, 's': 3} among 4 distinguishable boxes with capacities [3, 2, 2, 2]. How many different distributions exist?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 181 | MATH |
[
{
"content": "You have {'e': 2, 'v': 3, 'l': 3, 's': 1} and need to distribute them into 4 different boxes with capacities [2, 2, 2, 3]. In how many ways can this be done?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 295 | MATH |
[
{
"content": "Given the letters {'d': 1, 'y': 2, 'c': 3, 'b': 3}, place them into 4 labeled boxes with sizes [2, 2, 1, 4]. How many distinct arrangements are possible?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 188 | MATH |
[
{
"content": "Arrange the letters {'i': 1, 'r': 3, 'a': 3, 'w': 1} into 4 undistinguishable boxes with capacities [2, 3, 2, 1]. Find the total number of possible distributions.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 60 | MATH |
[
{
"content": "You have {'s': 2, 'g': 3, 'p': 2, 'i': 1} and need to distribute them into 4 different boxes with capacities [2, 2, 1, 3]. In how many ways can this be done?\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 154 | MATH |
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