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with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
without-guidance
[ { "content": "In the diagram, $ABCD$ and $EFGD$ are squares each with side lengths of 5 and 3 respectively, and $H$ is the midpoint of both $BC$ and $EF$. Calculate the total area of the polygon $ABHFGD$.", "role": "user" } ]
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "without-guidance" }
easy-without-guidance
easy-93-without-guidance
without-guidance
[ { "content": "How many of the twelve pentominoes pictured below have at least one line of reflectional symmetry? [asy] unitsize(5mm); defaultpen(linewidth(1pt)); draw(shift(2,0)*unitsquare); draw(shift(2,1)*unitsquare); draw(shift(2,2)*unitsquare); draw(shift(1,2)*unitsquare); draw(shift(0,2)*unitsquare); draw(...
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 488, "split": "without-guidance" }
easier
easier-744-without-guidance
with-guidance
[ { "content": "You are given a problem and a partial solution.\n\nFirst, carefully read the partial response and restate in your own words the key steps, ideas, and progress that have already been made. \nExplicitly analyze what the partial solution has done, what intermediate quantities or insights it has esta...
math
{ "ground_truth": "25.5", "style": "rule" }
{ "index": 146, "split": "with-guidance" }
easy-with-guidance
easy-93-with-guidance
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