data_source stringclasses 104
values | prompt listlengths 1 1 | reward_model dict | question stringlengths 82 6.87k | solution stringlengths 1 5.65k | answer stringlengths 1 5.65k |
|---|---|---|---|---|---|
game_of_life_halting | [
{
"content": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 ... | {
"ground_truth": "False",
"style": "rule-lighteval/MATH_v2"
} | This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.
Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.
Initial board:
[[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 ... | False | False |
game_of_life_halting | [
{
"content": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 ... | {
"ground_truth": "False",
"style": "rule-lighteval/MATH_v2"
} | This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.
Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.
Initial board:
[[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 ... | False | False |
game_of_life_halting | [
{
"content": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 ... | {
"ground_truth": "False",
"style": "rule-lighteval/MATH_v2"
} | This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.
Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.
Initial board:
[[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 ... | False | False |
game_of_life_halting | [
{
"content": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 ... | {
"ground_truth": "False",
"style": "rule-lighteval/MATH_v2"
} | This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.
Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.
Initial board:
[[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 ... | False | False |
game_of_life_halting | [
{
"content": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 ... | {
"ground_truth": "False",
"style": "rule-lighteval/MATH_v2"
} | This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.
Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.
Initial board:
[[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 ... | False | False |
game_of_life_halting | [
{
"content": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 ... | {
"ground_truth": "False",
"style": "rule-lighteval/MATH_v2"
} | This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.
Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.
Initial board:
[[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 1 1 0 0]
[0 0 ... | False | False |
game_of_life_halting | [
{
"content": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 ... | {
"ground_truth": "True",
"style": "rule-lighteval/MATH_v2"
} | This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.
Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.
Initial board:
[[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 ... | True | True |
game_of_life_halting | [
{
"content": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 ... | {
"ground_truth": "True",
"style": "rule-lighteval/MATH_v2"
} | This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.
Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.
Initial board:
[[0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 1 0 0 0 0 0 0 0 0]
[0 0 ... | True | True |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 26, 760. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "2",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 26, 760. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 2 | 2 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 688, 716. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "4",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 688, 716. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 4 | 4 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 297, 30. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "3",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 297, 30. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 3 | 3 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 428, 500. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "4",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 428, 500. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 4 | 4 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 410, 41. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "41",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 410, 41. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 41 | 41 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 525, 396. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "3",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 525, 396. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 3 | 3 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 732, 781. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "1",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 732, 781. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 1 | 1 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 697, 46. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "1",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 697, 46. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 1 | 1 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 710, 485. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "5",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 710, 485. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 5 | 5 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 853, 566. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "1",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 853, 566. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 1 | 1 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 56, 902. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "2",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 56, 902. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 2 | 2 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 960, 736. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "32",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 960, 736. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 32 | 32 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 450, 570. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "30",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 450, 570. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 30 | 30 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 758, 310. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "2",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 758, 310. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 2 | 2 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 486, 669. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "3",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 486, 669. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 3 | 3 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 489, 298. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "1",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 489, 298. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 1 | 1 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 416, 362. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "2",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 416, 362. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 2 | 2 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 24, 140. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "4",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 24, 140. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 4 | 4 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 272, 236. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "4",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 272, 236. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 4 | 4 |
gcd | [
{
"content": "Find the Greatest Common Divisor (GCD) of these numbers: 301, 329. Give only the GCD as your final answer.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "7",
"style": "rule-lighteval/MATH_v2"
} | Find the Greatest Common Divisor (GCD) of these numbers: 301, 329. Give only the GCD as your final answer.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 7 | 7 |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 1), (0, 7), (0, 9), (1, 4), (2, 4), (3, 5), (3, 6), (6, 8), (7, 9)]\nPossible colors: [1, 2, 3]\n... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 1), (0, 7), (0, 9), (1, 4), (2, 4), (3, 5), (3, 6), (6, 8), (7, 9)]
Possible colors: [1, 2, 3]
Return your solution as a ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 6), (1, 8), (3, 6), (3, 9), (4, 7), (5, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your solution a... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 6), (1, 8), (3, 6), (3, 9), (4, 7), (5, 9)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(3, 7), (4, 8)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON map of vertices to colo... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(3, 7), (4, 8)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. (For example: {"0": 1, "... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 4), (1, 4), (2, 6), (2, 7), (3, 7)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 4), (1, 4), (2, 6), (2, 7), (3, 7)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 8), (0, 9), (2, 3), (2, 8), (4, 7), (8, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your solution a... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 8), (0, 9), (2, 3), (2, 8), (4, 7), (8, 9)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 1), (1, 2), (1, 6), (4, 6), (5, 6)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 1), (1, 2), (1, 6), (4, 6), (5, 6)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(1, 9), (2, 3)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON map of vertices to colo... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(1, 9), (2, 3)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. (For example: {"0": 1, "... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(1, 2), (1, 8), (2, 3), (3, 4), (8, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(1, 2), (1, 8), (2, 3), (3, 4), (8, 9)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(1, 4), (1, 7), (2, 5), (2, 7), (3, 6)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(1, 4), (1, 7), (2, 5), (2, 7), (3, 6)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(1, 9), (2, 5), (3, 9), (4, 7), (4, 8)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(1, 9), (2, 5), (3, 9), (4, 7), (4, 8)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 1), (1, 5), (1, 7), (1, 8), (4, 8), (6, 7), (6, 8)]\nPossible colors: [1, 2, 3]\n\nReturn your so... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 1), (1, 5), (1, 7), (1, 8), (4, 8), (6, 7), (6, 8)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vert... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 8), (2, 9), (3, 5), (6, 7), (7, 8)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 8), (2, 9), (3, 5), (6, 7), (7, 8)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(1, 7), (2, 5), (3, 4), (3, 7), (4, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(1, 7), (2, 5), (3, 4), (3, 7), (4, 9)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 5), (0, 7), (2, 3), (2, 7), (3, 5), (4, 7)]\nPossible colors: [1, 2, 3]\n\nReturn your solution a... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 5), (0, 7), (2, 3), (2, 7), (3, 5), (4, 7)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 8), (1, 9), (3, 6), (4, 8), (5, 7), (5, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your solution a... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 8), (1, 9), (3, 6), (4, 8), (5, 7), (5, 9)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to ... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(5, 7), (5, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON map of vertices to colo... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(5, 7), (5, 9)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. (For example: {"0": 1, "... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 4), (1, 8), (2, 8)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON map of vertices... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 4), (1, 8), (2, 8)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vertices to colors. (For example: {"... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 1), (0, 6), (2, 6), (2, 8), (3, 4), (3, 6), (5, 6), (5, 7)]\nPossible colors: [1, 2, 3]\n\nReturn... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 1), (0, 6), (2, 6), (2, 8), (3, 4), (3, 6), (5, 6), (5, 7)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 7), (0, 9), (1, 4), (2, 8), (4, 5), (7, 8), (8, 9)]\nPossible colors: [1, 2, 3]\n\nReturn your so... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 7), (0, 9), (1, 4), (2, 8), (4, 5), (7, 8), (8, 9)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vert... | None | None |
graph_color | [
{
"content": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 6), (0, 8), (1, 4), (1, 6), (1, 8), (5, 6), (5, 8)]\nPossible colors: [1, 2, 3]\n\nReturn your so... | {
"ground_truth": null,
"style": "rule-lighteval/MATH_v2"
} | Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:
Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
Edges: [(0, 6), (0, 8), (1, 4), (1, 6), (1, 8), (5, 6), (5, 8)]
Possible colors: [1, 2, 3]
Return your solution as a JSON map of vert... | None | None |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"adits\", \"ditas\", \"staid\"], [\"cytomere\", \"merocyte\"], [\"palinodist\", \"plastinoid\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["adits", "ditas", "staid"], ["cytomere", "merocyte"], ["palinodist", "plastinoid"]] | [["adits", "ditas", "staid"], ["cytomere", "merocyte"], ["palinodist", "plastinoid"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"decors\", \"escrod\", \"scored\"], [\"muriates\", \"semitaur\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["decors", "escrod", "scored"], ["muriates", "semitaur"]] | [["decors", "escrod", "scored"], ["muriates", "semitaur"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"arrester\", \"rearrest\"], [\"bf\", \"fb\"], [\"canun\", \"cunan\"], [\"diplomats\", \"tadpolism\"], [\"granitite\", \"iterating\"], [\"helium\", \"humlie\"], [\"nazim\", \"nizam\"], [\"slipstring\", \"striplings\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["arrester", "rearrest"], ["bf", "fb"], ["canun", "cunan"], ["diplomats", "tadpolism"], ["granitite", "iterating"], ["helium", "humlie"], ["nazim", "nizam"], ["slipstring", "striplings"]] | [["arrester", "rearrest"], ["bf", "fb"], ["canun", "cunan"], ["diplomats", "tadpolism"], ["granitite", "iterating"], ["helium", "humlie"], ["nazim", "nizam"], ["slipstring", "striplings"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"anglican\", \"canaling\"], [\"cheero\", \"cohere\"], [\"converters\", \"reconverts\"], [\"dawny\", \"wandy\"], [\"eldern\", \"lender\"], [\"fp\", \"pf\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["anglican", "canaling"], ["cheero", "cohere"], ["converters", "reconverts"], ["dawny", "wandy"], ["eldern", "lender"], ["fp", "pf"]] | [["anglican", "canaling"], ["cheero", "cohere"], ["converters", "reconverts"], ["dawny", "wandy"], ["eldern", "lender"], ["fp", "pf"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"ahmet\", \"mathe\"], [\"drapers\", \"sparred\"], [\"interplead\", \"peridental\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["ahmet", "mathe"], ["drapers", "sparred"], ["interplead", "peridental"]] | [["ahmet", "mathe"], ["drapers", "sparred"], ["interplead", "peridental"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"alumin\", \"alumni\", \"lumina\", \"unmail\"], [\"cheeped\", \"depeche\"], [\"deduces\", \"seduced\"], [\"endothecia\", \"theodicean\"], [\"esteems\", \"mestees\"], [\"holdership\", \"shipholder\"], [\"imperatives\", \"semiprivate\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["alumin", "alumni", "lumina", "unmail"], ["cheeped", "depeche"], ["deduces", "seduced"], ["endothecia", "theodicean"], ["esteems", "mestees"], ["holdership", "shipholder"], ["imperatives", "semiprivate"]] | [["alumin", "alumni", "lumina", "unmail"], ["cheeped", "depeche"], ["deduces", "seduced"], ["endothecia", "theodicean"], ["esteems", "mestees"], ["holdership", "shipholder"], ["imperatives", "semiprivate"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"atlantis\", \"natalist\"], [\"bonsela\", \"eslabon\", \"sonable\"], [\"contoid\", \"odontic\"], [\"cp\", \"pc\"], [\"gerundive\", \"ungrieved\"], [\"harateen\", \"theraean\"], [\"horseless\", \"shoreless\"], [\"nonenergic\", \"nongeneric\"], [\"noseless\", \"soleness\"], [\"premating\", \"tampe... | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["atlantis", "natalist"], ["bonsela", "eslabon", "sonable"], ["contoid", "odontic"], ["cp", "pc"], ["gerundive", "ungrieved"], ["harateen", "theraean"], ["horseless", "shoreless"], ["nonenergic", "nongeneric"], ["noseless", "soleness"], ["premating", "tampering"]] | [["atlantis", "natalist"], ["bonsela", "eslabon", "sonable"], ["contoid", "odontic"], ["cp", "pc"], ["gerundive", "ungrieved"], ["harateen", "theraean"], ["horseless", "shoreless"], ["nonenergic", "nongeneric"], ["noseless", "soleness"], ["premating", "tampering"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"argentine\", \"tangerine\"], [\"dees\", \"seed\"], [\"eductions\", \"seduction\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["argentine", "tangerine"], ["dees", "seed"], ["eductions", "seduction"]] | [["argentine", "tangerine"], ["dees", "seed"], ["eductions", "seduction"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"celative\", \"velicate\"], [\"chorions\", \"isochron\"], [\"desex\", \"dexes\", \"sexed\"], [\"fester\", \"freest\"], [\"lilts\", \"still\", \"tills\"], [\"mortuarian\", \"muratorian\"], [\"petary\", \"pratey\", \"tapery\", \"tepary\"], [\"shouted\", \"southed\"], [\"thein\", \"thine\"]]",
"s... | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["celative", "velicate"], ["chorions", "isochron"], ["desex", "dexes", "sexed"], ["fester", "freest"], ["lilts", "still", "tills"], ["mortuarian", "muratorian"], ["petary", "pratey", "tapery", "tepary"], ["shouted", "southed"], ["thein", "thine"]] | [["celative", "velicate"], ["chorions", "isochron"], ["desex", "dexes", "sexed"], ["fester", "freest"], ["lilts", "still", "tills"], ["mortuarian", "muratorian"], ["petary", "pratey", "tapery", "tepary"], ["shouted", "southed"], ["thein", "thine"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"beagle\", \"glebae\"], [\"ceps\", \"psec\", \"spec\"], [\"genesis\", \"seeings\"], [\"histrionics\", \"trichinosis\"], [\"rubasses\", \"surbases\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["beagle", "glebae"], ["ceps", "psec", "spec"], ["genesis", "seeings"], ["histrionics", "trichinosis"], ["rubasses", "surbases"]] | [["beagle", "glebae"], ["ceps", "psec", "spec"], ["genesis", "seeings"], ["histrionics", "trichinosis"], ["rubasses", "surbases"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"alypin\", \"pialyn\", \"plainy\"], [\"fondu\", \"found\"], [\"glistened\", \"legendist\"], [\"orycteropus\", \"prosecutory\"], [\"shyster\", \"thyrses\"], [\"subtruncated\", \"unsubtracted\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["alypin", "pialyn", "plainy"], ["fondu", "found"], ["glistened", "legendist"], ["orycteropus", "prosecutory"], ["shyster", "thyrses"], ["subtruncated", "unsubtracted"]] | [["alypin", "pialyn", "plainy"], ["fondu", "found"], ["glistened", "legendist"], ["orycteropus", "prosecutory"], ["shyster", "thyrses"], ["subtruncated", "unsubtracted"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"ethine\", \"theine\"], [\"fluorated\", \"outflared\"], [\"generated\", \"greatened\"], [\"noneffusiveness\", \"unoffensiveness\"], [\"oarman\", \"ramona\", \"romana\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["ethine", "theine"], ["fluorated", "outflared"], ["generated", "greatened"], ["noneffusiveness", "unoffensiveness"], ["oarman", "ramona", "romana"]] | [["ethine", "theine"], ["fluorated", "outflared"], ["generated", "greatened"], ["noneffusiveness", "unoffensiveness"], ["oarman", "ramona", "romana"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"conformer\", \"reconform\"], [\"entireties\", \"eternities\"], [\"fm\", \"mf\"], [\"hopis\", \"ophis\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["conformer", "reconform"], ["entireties", "eternities"], ["fm", "mf"], ["hopis", "ophis"]] | [["conformer", "reconform"], ["entireties", "eternities"], ["fm", "mf"], ["hopis", "ophis"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"balanites\", \"basaltine\", \"stainable\"], [\"bouffon\", \"buffoon\"], [\"pactional\", \"pactolian\", \"placation\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["balanites", "basaltine", "stainable"], ["bouffon", "buffoon"], ["pactional", "pactolian", "placation"]] | [["balanites", "basaltine", "stainable"], ["bouffon", "buffoon"], ["pactional", "pactolian", "placation"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"care\", \"crea\"], [\"carminette\", \"remittance\"], [\"constrainers\", \"contrariness\"], [\"elogy\", \"goyle\"], [\"feudalism\", \"sulfamide\"], [\"grips\", \"sprig\"], [\"hematolin\", \"maholtine\"], [\"lurries\", \"surlier\"], [\"nexus\", \"unsex\"], [\"petrolist\", \"portliest\"]]",
"sty... | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["care", "crea"], ["carminette", "remittance"], ["constrainers", "contrariness"], ["elogy", "goyle"], ["feudalism", "sulfamide"], ["grips", "sprig"], ["hematolin", "maholtine"], ["lurries", "surlier"], ["nexus", "unsex"], ["petrolist", "portliest"]] | [["care", "crea"], ["carminette", "remittance"], ["constrainers", "contrariness"], ["elogy", "goyle"], ["feudalism", "sulfamide"], ["grips", "sprig"], ["hematolin", "maholtine"], ["lurries", "surlier"], ["nexus", "unsex"], ["petrolist", "portliest"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"detruss\", \"dusters\"], [\"intertwin\", \"inwritten\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["detruss", "dusters"], ["intertwin", "inwritten"]] | [["detruss", "dusters"], ["intertwin", "inwritten"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"aik\", \"kai\"], [\"bridelace\", \"calibered\"], [\"bughouse\", \"housebug\"], [\"listwork\", \"slitwork\"], [\"owners\", \"resown\", \"rowens\", \"worsen\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["aik", "kai"], ["bridelace", "calibered"], ["bughouse", "housebug"], ["listwork", "slitwork"], ["owners", "resown", "rowens", "worsen"]] | [["aik", "kai"], ["bridelace", "calibered"], ["bughouse", "housebug"], ["listwork", "slitwork"], ["owners", "resown", "rowens", "worsen"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"adeline\", \"aliened\", \"delaine\"], [\"anisopod\", \"isopodan\"], [\"aubretias\", \"aubrietas\"], [\"everglade\", \"leveraged\"], [\"loxotic\", \"toxicol\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["adeline", "aliened", "delaine"], ["anisopod", "isopodan"], ["aubretias", "aubrietas"], ["everglade", "leveraged"], ["loxotic", "toxicol"]] | [["adeline", "aliened", "delaine"], ["anisopod", "isopodan"], ["aubretias", "aubrietas"], ["everglade", "leveraged"], ["loxotic", "toxicol"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"barad\", \"draba\"], [\"carers\", \"racers\", \"screar\"], [\"chordal\", \"dorlach\"], [\"clupeoids\", \"discouple\"], [\"infarction\", \"infraction\"], [\"radiators\", \"sartoriad\"]]",
"style": "rule-lighteval/MATH_v2"
} | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["barad", "draba"], ["carers", "racers", "screar"], ["chordal", "dorlach"], ["clupeoids", "discouple"], ["infarction", "infraction"], ["radiators", "sartoriad"]] | [["barad", "draba"], ["carers", "racers", "screar"], ["chordal", "dorlach"], ["clupeoids", "discouple"], ["infarction", "infraction"], ["radiators", "sartoriad"]] |
group_anagrams | [
{
"content": "An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.\n\nYour job is to group the anagrams together. You can return the answer in any order.\n\nThe output is a list of lists of strings, where each outer list contains a group of ana... | {
"ground_truth": "[[\"brontides\", \"stonebird\"], [\"calkers\", \"lackers\", \"slacker\"], [\"comfits\", \"scomfit\"], [\"criey\", \"ricey\"], [\"crimpage\", \"pergamic\"], [\"horotelic\", \"ochrolite\"], [\"purin\", \"unrip\"], [\"rarely\", \"rearly\"], [\"unhearsed\", \"unsheared\"]]",
"style": "rule-lighteval/... | An anagram is a word formed by rearranging the letters of a different word, using all the original letters exactly once.
Your job is to group the anagrams together. You can return the answer in any order.
The output is a list of lists of strings, where each outer list contains a group of anagrams, e.g. [["eat", "tea"... | [["brontides", "stonebird"], ["calkers", "lackers", "slacker"], ["comfits", "scomfit"], ["criey", "ricey"], ["crimpage", "pergamic"], ["horotelic", "ochrolite"], ["purin", "unrip"], ["rarely", "rearly"], ["unhearsed", "unsheared"]] | [["brontides", "stonebird"], ["calkers", "lackers", "slacker"], ["comfits", "scomfit"], ["criey", "ricey"], ["crimpage", "pergamic"], ["horotelic", "ochrolite"], ["purin", "unrip"], ["rarely", "rearly"], ["unhearsed", "unsheared"]] |
gsm_symbolic | [
{
"content": "There are 12 students playing basketball and twice that number playing volleyball. There are 17 boys and 17 girls playing table tennis. If each student only participates in one group, how many students are there in total? Give the result as your final answer. Do not include units.\nWrite your fina... | {
"ground_truth": "70",
"style": "rule-lighteval/MATH_v2"
} | There are 12 students playing basketball and twice that number playing volleyball. There are 17 boys and 17 girls playing table tennis. If each student only participates in one group, how many students are there in total? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL A... | 70 | 70 |
gsm_symbolic | [
{
"content": "In Ms. Johnson's class of 100 students, 80% of the class are volleyball players. Out of the remaining class, 65% of the students are choir members or part of robotics club members. These 3 groups of students will need to leave early today to travel to an away performance. How many students are lea... | {
"ground_truth": "93",
"style": "rule-lighteval/MATH_v2"
} | In Ms. Johnson's class of 100 students, 80% of the class are volleyball players. Out of the remaining class, 65% of the students are choir members or part of robotics club members. These 3 groups of students will need to leave early today to travel to an away performance. How many students are leaving early? Give the r... | 93 | 93 |
gsm_symbolic | [
{
"content": "Olivia is trying to decide whether to do her business accounting herself or hire an accountant. If she does it herself, she'll be able to do 7 fewer hours of consulting work, losing €57/hour in missed income. The accountant charges €57. How much more money will she have if she hires the accountant... | {
"ground_truth": "342",
"style": "rule-lighteval/MATH_v2"
} | Olivia is trying to decide whether to do her business accounting herself or hire an accountant. If she does it herself, she'll be able to do 7 fewer hours of consulting work, losing €57/hour in missed income. The accountant charges €57. How much more money will she have if she hires the accountant? Give the result as y... | 342 | 342 |
gsm_symbolic | [
{
"content": "Thomas scored 258 points in one game of basketball. Linda scored 24 more than 50% as many as Thomas. How many points did Thomas and Linda have in total? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": ... | {
"ground_truth": "411",
"style": "rule-lighteval/MATH_v2"
} | Thomas scored 258 points in one game of basketball. Linda scored 24 more than 50% as many as Thomas. How many points did Thomas and Linda have in total? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 411 | 411 |
gsm_symbolic | [
{
"content": "A virus infects 17 people. Every day, each infected person infects 2 others. How many people are infected after 3 days? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "459",
"style": "rule-lighteval/MATH_v2"
} | A virus infects 17 people. Every day, each infected person infects 2 others. How many people are infected after 3 days? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 459 | 459 |
gsm_symbolic | [
{
"content": "Isabella walks 27 miles every day on her favorite walking trail, which includes 13 miles of walking on the beach and 14 miles of walking on the sidewalk. On the sidewalk, Isabella walks at twice the rate of speed that she does on the beach. If 65 minutes of her walk is spent on the beach, how long... | {
"ground_truth": "100",
"style": "rule-lighteval/MATH_v2"
} | Isabella walks 27 miles every day on her favorite walking trail, which includes 13 miles of walking on the beach and 14 miles of walking on the sidewalk. On the sidewalk, Isabella walks at twice the rate of speed that she does on the beach. If 65 minutes of her walk is spent on the beach, how long does it take for her ... | 100 | 100 |
gsm_symbolic | [
{
"content": "The area of David's rectangular office is 14640 square feet. If the length of his room is 40 yards, what is the perimeter of the room in feet? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}... | {
"ground_truth": "484",
"style": "rule-lighteval/MATH_v2"
} | The area of David's rectangular office is 14640 square feet. If the length of his room is 40 yards, what is the perimeter of the room in feet? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 484 | 484 |
gsm_symbolic | [
{
"content": "Mary is an avid gardener. Yesterday, she received 31 new potted plants from her favorite plant nursery. She already has 10 potted plants on each of the 53 window ledges of her large country home. Feeling generous, she has decided that she will give 5 potted plant from each ledge to friends and fam... | {
"ground_truth": "296",
"style": "rule-lighteval/MATH_v2"
} | Mary is an avid gardener. Yesterday, she received 31 new potted plants from her favorite plant nursery. She already has 10 potted plants on each of the 53 window ledges of her large country home. Feeling generous, she has decided that she will give 5 potted plant from each ledge to friends and family tomorrow. How many... | 296 | 296 |
gsm_symbolic | [
{
"content": "Susan is knitting winter wear for her 4 grandchildren. They're quadruplets, so they're all the same size. She wants to make a vest, tunic, shawl, leg warmers, and socks for each of them. It takes 5 skeins of wool to make a vest, 13 for a tunic, 10 for a shawl, 5 for a pair of leg warmers, and 7 fo... | {
"ground_truth": "160",
"style": "rule-lighteval/MATH_v2"
} | Susan is knitting winter wear for her 4 grandchildren. They're quadruplets, so they're all the same size. She wants to make a vest, tunic, shawl, leg warmers, and socks for each of them. It takes 5 skeins of wool to make a vest, 13 for a tunic, 10 for a shawl, 5 for a pair of leg warmers, and 7 for a pair of socks. How... | 160 | 160 |
gsm_symbolic | [
{
"content": "In Mr. Smith's class of 100 students, 80% of the class are basketball players. Out of the remaining class, 75% of the students are choir members or part of dancers. These 3 groups of students will need to leave early today to travel to an away performance. How many students are leaving early? Give... | {
"ground_truth": "95",
"style": "rule-lighteval/MATH_v2"
} | In Mr. Smith's class of 100 students, 80% of the class are basketball players. Out of the remaining class, 75% of the students are choir members or part of dancers. These 3 groups of students will need to leave early today to travel to an away performance. How many students are leaving early? Give the result as your fi... | 95 | 95 |
gsm_symbolic | [
{
"content": "Thomas scored 200 points in one game of tennis. John scored 31 more than 50% as many as Thomas. How many points did Thomas and John have in total? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"... | {
"ground_truth": "331",
"style": "rule-lighteval/MATH_v2"
} | Thomas scored 200 points in one game of tennis. John scored 31 more than 50% as many as Thomas. How many points did Thomas and John have in total? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 331 | 331 |
gsm_symbolic | [
{
"content": "Ava was preparing for a birthday party at her house, where she intended to serve vegetable lasagna. She noticed that she was out of plastic plates, so she bought a new package of plates. Later, her husband also bought a package of 20 new plates and gave them to Ava. While Ava was making the vegeta... | {
"ground_truth": "26",
"style": "rule-lighteval/MATH_v2"
} | Ava was preparing for a birthday party at her house, where she intended to serve vegetable lasagna. She noticed that she was out of plastic plates, so she bought a new package of plates. Later, her husband also bought a package of 20 new plates and gave them to Ava. While Ava was making the vegetable lasagna, she used ... | 26 | 26 |
gsm_symbolic | [
{
"content": "In Mr. Smith's class of 100 students, 40% of the class are swimmers. Out of the remaining class, 77% of the students are debate team members or part of choir members. These 3 groups of students will need to leave early today to travel to an away meet. How many students are leaving early? Give the ... | {
"ground_truth": "86",
"style": "rule-lighteval/MATH_v2"
} | In Mr. Smith's class of 100 students, 40% of the class are swimmers. Out of the remaining class, 77% of the students are debate team members or part of choir members. These 3 groups of students will need to leave early today to travel to an away meet. How many students are leaving early? Give the result as your final a... | 86 | 86 |
gsm_symbolic | [
{
"content": "Charlie has 2 times as many LinkedIn friends as Dorothy. Emily has 3 times as many friends on LinkedIn as Dorothy. If Charlie has 26 friends on LinkedIn, how many LinkedIn friends does Emily have? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANS... | {
"ground_truth": "39",
"style": "rule-lighteval/MATH_v2"
} | Charlie has 2 times as many LinkedIn friends as Dorothy. Emily has 3 times as many friends on LinkedIn as Dorothy. If Charlie has 26 friends on LinkedIn, how many LinkedIn friends does Emily have? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxe... | 39 | 39 |
gsm_symbolic | [
{
"content": "A cup of tea is 14 ccs of tea. Robert drinks 5 cups of tea. If tea has 5 calories per cc how many calories did he consume? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "350",
"style": "rule-lighteval/MATH_v2"
} | A cup of tea is 14 ccs of tea. Robert drinks 5 cups of tea. If tea has 5 calories per cc how many calories did he consume? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 350 | 350 |
gsm_symbolic | [
{
"content": "The vending machines sell gum for 65 cents and pretzels for 120 cents. George spent $1000 and got 1 bags of gum and had 10% of his money left. How many pretzels did he buy? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxe... | {
"ground_truth": "749",
"style": "rule-lighteval/MATH_v2"
} | The vending machines sell gum for 65 cents and pretzels for 120 cents. George spent $1000 and got 1 bags of gum and had 10% of his money left. How many pretzels did he buy? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 749 | 749 |
gsm_symbolic | [
{
"content": "Sarah scored 430 points in one game of darts. Richard scored 17 more than 50% as many as Sarah. How many points did Sarah and Richard have in total? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "use... | {
"ground_truth": "662",
"style": "rule-lighteval/MATH_v2"
} | Sarah scored 430 points in one game of darts. Richard scored 17 more than 50% as many as Sarah. How many points did Sarah and Richard have in total? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 662 | 662 |
gsm_symbolic | [
{
"content": "Michael is rolling a 20-sided die. How much more likely is it (expressed as a percentage) that he rolls a number greater than 1 than that he rolls two even numbers in a row? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\box... | {
"ground_truth": "70",
"style": "rule-lighteval/MATH_v2"
} | Michael is rolling a 20-sided die. How much more likely is it (expressed as a percentage) that he rolls a number greater than 1 than that he rolls two even numbers in a row? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 70 | 70 |
gsm_symbolic | [
{
"content": "William has 10 tubes of purple paint and 9 tubes of red paint. John has half as many tubes of purple paint as William, and three times as many tubes of red paint as William. How many tubes of paint does John have? Give the result as your final answer. Do not include units.\nWrite your final answer... | {
"ground_truth": "32",
"style": "rule-lighteval/MATH_v2"
} | William has 10 tubes of purple paint and 9 tubes of red paint. John has half as many tubes of purple paint as William, and three times as many tubes of red paint as William. How many tubes of paint does John have? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: '... | 32 | 32 |
gsm_symbolic | [
{
"content": "Mia can peel 12 onions a minute and saute 25 onions in 15 minutes. How long will it take her to peel and saute 900 onions? Give the result as your final answer. Do not include units.\nWrite your final answer after 'FINAL ANSWER: ' tag inside \\boxed{.}.",
"role": "user"
}
] | {
"ground_truth": "615",
"style": "rule-lighteval/MATH_v2"
} | Mia can peel 12 onions a minute and saute 25 onions in 15 minutes. How long will it take her to peel and saute 900 onions? Give the result as your final answer. Do not include units.
Write your final answer after 'FINAL ANSWER: ' tag inside \boxed{.}. | 615 | 615 |
intermediate_integration | [
{
"content": "Find the indefinite integral: ∫ (16*x + 4)*exp(4*x**2 + 2*x + 10) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the... | {
"ground_truth": "2*exp(4*x**2 + 2*x + 10) + C",
"style": "rule-lighteval/MATH_v2"
} | Find the indefinite integral: ∫ (16*x + 4)*exp(4*x**2 + 2*x + 10) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multipli... | 2*exp(4*x**2 + 2*x + 10) + C | 2*exp(4*x**2 + 2*x + 10) + C |
intermediate_integration | [
{
"content": "Evaluate the indefinite integral: ∫ -3*(8*x + 6)**3 dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for ... | {
"ground_truth": "-384*x**4 - 1152*x**3 - 1296*x**2 - 648*x + C",
"style": "rule-lighteval/MATH_v2"
} | Evaluate the indefinite integral: ∫ -3*(8*x + 6)**3 dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operati... | -384*x**4 - 1152*x**3 - 1296*x**2 - 648*x + C | -384*x**4 - 1152*x**3 - 1296*x**2 - 648*x + C |
intermediate_integration | [
{
"content": "Find the indefinite integral: ∫ -4*sin(4*x + 1)**2*cos(4*x + 1) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the *... | {
"ground_truth": "-sin(4*x + 1)**3/3 + C",
"style": "rule-lighteval/MATH_v2"
} | Find the indefinite integral: ∫ -4*sin(4*x + 1)**2*cos(4*x + 1) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplica... | -sin(4*x + 1)**3/3 + C | -sin(4*x + 1)**3/3 + C |
intermediate_integration | [
{
"content": "Find the indefinite integral: ∫ -2*asin(x) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multi... | {
"ground_truth": "-2*x*asin(x) - 2*sqrt(1 - x**2) + C",
"style": "rule-lighteval/MATH_v2"
} | Find the indefinite integral: ∫ -2*asin(x) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in yo... | -2*x*asin(x) - 2*sqrt(1 - x**2) + C | -2*x*asin(x) - 2*sqrt(1 - x**2) + C |
intermediate_integration | [
{
"content": "Evaluate the indefinite integral: ∫ 3*x**3*exp(x) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for al... | {
"ground_truth": "(3*x**3 - 9*x**2 + 18*x - 18)*exp(x) + C",
"style": "rule-lighteval/MATH_v2"
} | Evaluate the indefinite integral: ∫ 3*x**3*exp(x) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operation... | (3*x**3 - 9*x**2 + 18*x - 18)*exp(x) + C | (3*x**3 - 9*x**2 + 18*x - 18)*exp(x) + C |
intermediate_integration | [
{
"content": "Calculate the antiderivative: ∫ -3*atan(2*x) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all mul... | {
"ground_truth": "-3*x*atan(2*x) + 3*log(4*x**2 + 1)/4 + C",
"style": "rule-lighteval/MATH_v2"
} | Calculate the antiderivative: ∫ -3*atan(2*x) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in ... | -3*x*atan(2*x) + 3*log(4*x**2 + 1)/4 + C | -3*x*atan(2*x) + 3*log(4*x**2 + 1)/4 + C |
intermediate_integration | [
{
"content": "Evaluate the indefinite integral: ∫ 2*x**3*cos(3*x) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for ... | {
"ground_truth": "2*Integral(x**3*cos(3*x), x) + C",
"style": "rule-lighteval/MATH_v2"
} | Evaluate the indefinite integral: ∫ 2*x**3*cos(3*x) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operati... | 2*Integral(x**3*cos(3*x), x) + C | 2*Integral(x**3*cos(3*x), x) + C |
intermediate_integration | [
{
"content": "Find the indefinite integral: ∫ -(2*x + 6)**4 dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all mu... | {
"ground_truth": "-16*x**5/5 - 48*x**4 - 288*x**3 - 864*x**2 - 1296*x + C",
"style": "rule-lighteval/MATH_v2"
} | Find the indefinite integral: ∫ -(2*x + 6)**4 dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in... | -16*x**5/5 - 48*x**4 - 288*x**3 - 864*x**2 - 1296*x + C | -16*x**5/5 - 48*x**4 - 288*x**3 - 864*x**2 - 1296*x + C |
intermediate_integration | [
{
"content": "Find the indefinite integral: ∫ -8*sin(8*x - 2)*cos(8*x - 2)**3 dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the *... | {
"ground_truth": "cos(8*x - 2)**4/4 + C",
"style": "rule-lighteval/MATH_v2"
} | Find the indefinite integral: ∫ -8*sin(8*x - 2)*cos(8*x - 2)**3 dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplica... | cos(8*x - 2)**4/4 + C | cos(8*x - 2)**4/4 + C |
intermediate_integration | [
{
"content": "Evaluate the indefinite integral: ∫ -12*sqrt(4*x - 7) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol fo... | {
"ground_truth": "-2*(4*x - 7)**(3/2) + C",
"style": "rule-lighteval/MATH_v2"
} | Evaluate the indefinite integral: ∫ -12*sqrt(4*x - 7) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication opera... | -2*(4*x - 7)**(3/2) + C | -2*(4*x - 7)**(3/2) + C |
intermediate_integration | [
{
"content": "Find the indefinite integral: ∫ 2*x**3*cos(x) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all mu... | {
"ground_truth": "2*x**3*sin(x) + 6*x**2*cos(x) - 12*x*sin(x) - 12*cos(x) + C",
"style": "rule-lighteval/MATH_v2"
} | Find the indefinite integral: ∫ 2*x**3*cos(x) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operations in... | 2*x**3*sin(x) + 6*x**2*cos(x) - 12*x*sin(x) - 12*cos(x) + C | 2*x**3*sin(x) + 6*x**2*cos(x) - 12*x*sin(x) - 12*cos(x) + C |
intermediate_integration | [
{
"content": "Evaluate the indefinite integral: ∫ -2*x**2*cos(3*x) dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for... | {
"ground_truth": "-2*Integral(x**2*cos(3*x), x) + C",
"style": "rule-lighteval/MATH_v2"
} | Evaluate the indefinite integral: ∫ -2*x**2*cos(3*x) dx
When performing calculations, please follow these guidelines:
Use same variable symbols as given in the question
1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.
2. Always include the * symbol for all multiplication operat... | -2*Integral(x**2*cos(3*x), x) + C | -2*Integral(x**2*cos(3*x), x) + C |
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