messages listlengths 1 1 | ground_truth stringlengths 2 9 | dataset stringclasses 1 value |
|---|---|---|
[
{
"content": "How many distinct words of length 8 can be formed from {\"x\": 7,\"y\": 7,\"z\": 6}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6542 | MATH |
[
{
"content": "How many distinct words of length 12 can be formed from {\"p\": 12,\"q\": 11,\"r\": 11}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 531439 | MATH |
[
{
"content": "How many distinct words of length 9 can be formed from {\"m\": 8,\"n\": 9,\"o\": 7}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 19663 | MATH |
[
{
"content": "How many distinct words of length 12 can be formed from {\"d\": 11,\"e\": 10,\"f\": 11}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 531414 | MATH |
[
{
"content": "How many distinct words of length 10 can be formed from {\"c\": 9,\"a\": 9,\"b\": 8}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 59026 | MATH |
[
{
"content": "How many distinct words of length 6 can be formed from {\"f\": 5,\"g\": 6,\"h\": 4}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 715 | MATH |
[
{
"content": "How many distinct words of length 11 can be formed from {\"l\": 10,\"m\": 11,\"n\": 9}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 177123 | MATH |
[
{
"content": "How many distinct words of length 7 can be formed from {\"o\": 6,\"p\": 7,\"q\": 5}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2171 | MATH |
[
{
"content": "How many distinct words of length 5 can be formed from {\"r\": 4,\"s\": 5,\"t\": 3}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 231 | MATH |
[
{
"content": "How many distinct words of length 4 can be formed from {\"u\": 3,\"v\": 4,\"w\": 2}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 71 | MATH |
[
{
"content": "How many distinct words of length 8 can be formed from {\"i\": 7,\"j\": 6,\"k\": 8}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 6543 | MATH |
[
{
"content": "How many distinct words of length 9 can be formed from {\"x\": 8,\"y\": 7,\"z\": 9}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 19663 | MATH |
[
{
"content": "How many distinct words of length 10 can be formed from {\"a\": 9,\"b\": 8,\"c\": 7,\"d\": 6}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1044432 | MATH |
[
{
"content": "How many distinct words of length 12 can be formed from {\"e\": 11,\"f\": 10,\"g\": 9,\"h\": 8}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16769976 | MATH |
[
{
"content": "How many distinct words of length 8 can be formed from {\"i\": 7,\"j\": 6,\"k\": 5,\"l\": 4}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 63444 | MATH |
[
{
"content": "How many distinct words of length 11 can be formed from {\"m\": 10,\"n\": 9,\"o\": 8,\"p\": 7}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4188756 | MATH |
[
{
"content": "How many distinct words of length 9 can be formed from {\"q\": 8,\"r\": 7,\"s\": 6,\"t\": 5}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 259143 | MATH |
[
{
"content": "How many distinct words of length 7 can be formed from {\"u\": 6,\"v\": 5,\"w\": 4,\"x\": 3}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14994 | MATH |
[
{
"content": "How many distinct words of length 6 can be formed from {\"y\": 5,\"z\": 4,\"a\": 3,\"b\": 2}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3228 | MATH |
[
{
"content": "How many distinct words of length 5 can be formed from {\"c\": 4,\"d\": 3,\"e\": 2,\"f\": 1}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 535 | MATH |
[
{
"content": "How many distinct words of length 10 can be formed from {\"g\": 9,\"h\": 8,\"i\": 7,\"j\": 6}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1044432 | MATH |
[
{
"content": "How many distinct words of length 12 can be formed from {\"k\": 11,\"l\": 10,\"m\": 9,\"n\": 8}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 16769976 | MATH |
[
{
"content": "How many distinct words of length 8 can be formed from {\"o\": 7,\"p\": 6,\"q\": 5,\"r\": 4}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 63444 | MATH |
[
{
"content": "How many distinct words of length 9 can be formed from {\"s\": 8,\"t\": 7,\"u\": 6,\"v\": 5}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 259143 | MATH |
[
{
"content": "How many distinct words of length 12 can be formed from {\"a\": 11,\"b\": 10,\"c\": 9,\"d\": 8,\"e\": 7}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 243982380 | MATH |
[
{
"content": "How many distinct words of length 10 can be formed from {\"f\": 9,\"g\": 8,\"h\": 7,\"i\": 6,\"j\": 5}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 9694180 | MATH |
[
{
"content": "How many distinct words of length 11 can be formed from {\"k\": 10,\"l\": 9,\"m\": 8,\"n\": 7,\"o\": 6}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 48719704 | MATH |
[
{
"content": "How many distinct words of length 8 can be formed from {\"p\": 7,\"q\": 6,\"r\": 5,\"s\": 4,\"t\": 3}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 364060 | MATH |
[
{
"content": "How many distinct words of length 9 can be formed from {\"u\": 8,\"v\": 7,\"w\": 6,\"x\": 5,\"y\": 4}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1908240 | MATH |
[
{
"content": "How many distinct words of length 7 can be formed from {\"z\": 6,\"a\": 5,\"b\": 4,\"c\": 3,\"d\": 2}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 63595 | MATH |
[
{
"content": "How many distinct words of length 6 can be formed from {\"e\": 5,\"f\": 4,\"g\": 3,\"h\": 2,\"i\": 1}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 8634 | MATH |
[
{
"content": "How many distinct words of length 5 can be formed from {\"j\": 4,\"k\": 3,\"l\": 2,\"m\": 1,\"n\": 1}? (value indicates the number of letters)\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1410 | MATH |
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