Datasets:
images images listlengths 1 1 | image_group_id stringlengths 64 64 | qa listlengths 1 5 |
|---|---|---|
8fd825b75a7bf3728f1a704fb896cb37a386856694bea25f7c033f1bc0ceeeb6 | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"25.67",
"5.33",
"3",
"9"
],
"labels": 0,... | |
99f80ba70a313d4062ebd0b2ea089418797302e57655551be653ed485aef2fa6 | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"35.53",
"3",
"5.33",
"7"
],
"l... | |
46f9b81952ba48dd6d7a81885ce3de27cb563d3aa630dd1738b0361f2a522af8 | [
{
"inputs": "Using the side lengths and area labeled in the figure, compute the inradius r of triangle ABC (r = Area / semi-perimeter). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"2.54",
"9",
"5",
"35.53"
],
"labels": 0,
... | |
8a7745e64949060d81529009a6aecf49d116836534643ffc0c060737daceffcc | [
{
"inputs": "Using the side lengths and area labeled in the figure, compute the inradius r of triangle ABC (r = Area / semi-perimeter). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"9",
"5.33",
"3.08",
"31.72"
],
"labels": 2,
... | |
d838d44b1503f3f7369d0281be23cd9f26df4320627b150e6b702bf646f7fb01 | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"22.50",
"8",
"35.53",
"3"
],
"labels": 0... | |
1eaaa574f99908b23c4acd863b8977d00ef3b1dff7c846e194fb013497d276a7 | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"6.25",
"3",
"31.72",
"35.53"
],
... | |
f5eb833756f7a7ad7357c54ed5ca073dc663906f7f2deeada48635144334ad58 | [
{
"inputs": "G is the centroid of triangle ABC (intersection of the three medians). Using the vertex coordinates shown in the figure, compute the x-coordinate of G. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"35.53",
"22.50",
"2.67",
... | |
dbf08469f23bc8322d4a4ec5e034be66babfd2d5843d2b9f1189e09102554623 | [
{
"inputs": "Using the three side lengths and the area labeled in the figure, compute the circumradius R = (a·b·c) / (4·Area). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"8",
"6.53",
"31.72",
"5.33"
],
"labels": 1,
"metad... | |
de1085c84b7fdeeead5366be4006766799102b3600c5de9112ec8c6fb49b1cee | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"2.77",
"22.50",
"3",
"19.33"
],
"labels"... | |
bdef3a920eafe30ae30d2e6b73a9ed54c5a8b09adb679efbc92aabfc097a989a | [
{
"inputs": "M is the midpoint of AB. Read the vertex coordinates from the figure and compute the length of the median CM. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"31.72",
"6",
"5.33",
"8.38"
],
"labels": 3,
"metadata"... | |
339308c5ec153f1c526542a69b4e03f497bcc5dd91965efc71004a16c58ddfbe | [
{
"inputs": "G is the centroid of triangle ABC (intersection of the three medians). Using the vertex coordinates shown in the figure, compute the y-coordinate of G. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"31.72",
"6",
"2",
"37.70... | |
a3950b67c073ddf70104a8828e8bc7926f62c5e6f06fd6dc684afffd362b770d | [
{
"inputs": "Using the three side lengths and the area labeled in the figure, compute the circumradius R = (a·b·c) / (4·Area). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"9.78",
"35.53",
"31.72",
"6"
],
"labels": 0,
"meta... | |
38fcb5c3195ea1943b997d9db65c1a7e481435215e8738841b4851661fbe8706 | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"6",
"22.50",
"8",
"31.72"
],
"labels": 1... | |
ccd6858ceff8c2b6e1da457a7b93d22ddef4de598e0e19cae00fea883e4d6089 | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"9",
"5.33",
"6",
"10"
],
"labe... | |
295744e1c18a0fda7bee082ca3d167e28a508ee8be97cc76473227a69f6ef25c | [
{
"inputs": "CD is the angle bisector of ∠C. Using the side lengths labeled in the figure, compute |AD - DB|. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"6",
"2.68",
"22.50",
"5.33"
],
"labels": 1,
"metadata": "{\"bucket\... | |
c38118f489b22f16b92fb39912397c82acb0ffe3083ab1a07f56d9401c7cdde2 | [
{
"inputs": "CD is the angle bisector of ∠C. Using the side lengths and total area labeled in the figure, compute the area of sub-triangle ACD. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"22.50",
"14.77",
"35.53",
"5"
],
"lab... | |
16241ff8bb6d7154571d62137f71ebc7c90a37bb1accbbf85beb51eddd130167 | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"35.53",
"3.01",
"5",
"2.77"
],
... | |
ad88ec50cc9476412ad78f4d238f3bd81d81f0ac0a625548c6b88c4e2bd77dc1 | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"31.72",
"3.01",
"37.70",
"2.77"
],
"labe... | |
6feae50ffb1502b0afbf566a06ebfdaca9bb8b25478b2a012f7bb5a46b92b58d | [
{
"inputs": "G is the centroid of triangle ABC (intersection of the three medians). Using the vertex coordinates shown in the figure, compute the y-coordinate of G. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"9",
"22.50",
"2.33",
"8"... | |
274bcf5d7ede150eef6c7b58beb9bae216f3d2a1aa90719110ded0649cce1e9f | [
{
"inputs": "Using the three side lengths and the area labeled in the figure, compute the circumradius R = (a·b·c) / (4·Area). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"31.72",
"3.01",
"8.42",
"6"
],
"labels": 2,
"metad... | |
7c2e6a13037e1fa98bae4598b50b7a0e826fcd1e5ba89841dcf6fab6018b4b44 | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"3",
"22.50",
"3.01",
"41.19"
],
"labels"... | |
25230e4e6500e857c0bb0bd6b3b151589f48f7fa2d48afedb7a52f837aa7b6da | [
{
"inputs": "M is the midpoint of AB. Read the vertex coordinates from the figure and compute the length of the median CM. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"22.50",
"37.70",
"3",
"10.59"
],
"labels": 3,
"metadat... | |
631c480a8ce3ff4217181de8064b3c53815c5281ec0eedc641e689adf84fa60b | [
{
"inputs": "G is the centroid of triangle ABC (intersection of the three medians). Using the vertex coordinates shown in the figure, compute the y-coordinate of G. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"37.70",
"4.33",
"31.72",
... | |
e05ddfb018479b4ef1d2d0e3d5f3a3bedff88be9d2ee316770f40130fb8a8f36 | [
{
"inputs": "Using the three side lengths and the area labeled in the figure, compute the circumradius R = (a·b·c) / (4·Area). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"5.33",
"37.70",
"8.06",
"9"
],
"labels": 2,
"metad... | |
e0100605190ce2478cc07db5d5cb1899a377c2fc7fec72532f92984717ef8a0d | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"3.01",
"9",
"31.72",
"6"
],
"labels": 2,... | |
8ed0ec854fd64e28164203d53344acee0c564886cc64c29476c87ba73eff612b | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"3",
"2.77",
"6.25",
"3.01"
],
... | |
662394741c1310ba02327667329c64b560f7019702a7083ff0e0fedf2b5bfdb1 | [
{
"inputs": "CD is the angle bisector of ∠C. Using the side lengths labeled in the figure, compute |AD - DB|. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"35.53",
"9",
"3.01",
"0.69"
],
"labels": 3,
"metadata": "{\"bucket\... | |
bd03674d88d3726fb2754bb0d9bb587571dcb662074dedf86e4417ceaea9fbad | [
{
"inputs": "Using the three side lengths and the area labeled in the figure, compute the circumradius R = (a·b·c) / (4·Area). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"5.33",
"14",
"9",
"8"
],
"labels": 1,
"metadata": ... | |
4e05498da85dd0e3513c282417b3b978c7eee1297fbee4e2743512dcd3e8b37b | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"2.77",
"5",
"6",
"3"
],
"label... | |
cfbf508f5418f28f8fb7455814cf187f8b6a3dbca3d24197b0e1828f33fbf57d | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"14",
"8",
"35.53",
"3"
],
"lab... | |
c2f92a24896e17332070ac0b1c5e098d8fc7e8cda55cc6982843718a78e2bb4f | [
{
"inputs": "CD is the angle bisector of ∠C. Using the side lengths labeled in the figure, compute |AD - DB|. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"0.58",
"5",
"37.70",
"3"
],
"labels": 0,
"metadata": "{\"bucket\": ... | |
1d2d994dc9607e9c1a4e4d9be3dd2eb58e2c831ee32c622cee5943d9f65a867e | [
{
"inputs": "CD is the angle bisector of ∠C. Using the side lengths and total area labeled in the figure, compute the area of sub-triangle ACD. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"40.10",
"3",
"35.53",
"5.33"
],
"labe... | |
443e6112d622de3bae8740204f969c306f1d28d836d207189c85682eb0f4f8a3 | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"5",
"8",
"22.50",
"6"
],
"labe... | |
2d11c0659899b72d2d25a169f12f6ed64976511868d17e8b197ac23101971a28 | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"12.50",
"9",
"2.77",
"8"
],
"l... | |
2a19b6bae58603fc7d367956763c82022fd24597e02d51dc575ad2cc1214fa31 | [
{
"inputs": "Using the side lengths and area labeled in the figure, compute the inradius r of triangle ABC (r = Area / semi-perimeter). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"3.52",
"5.33",
"5",
"35.53"
],
"labels": 0,
... | |
ab6da285362ca4095a746f83d3249f2ca93fa6263d3d41df2d4d386ffecb2991 | [
{
"inputs": "CD is the angle bisector of ∠C. Using the side lengths and total area labeled in the figure, compute the area of sub-triangle ACD. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"22.50",
"25.42",
"31.72",
"8"
],
"lab... | |
840d24d7a3362c6feee178b1875ff9e453f1de6c27effe4834f0ad339791146c | [
{
"inputs": "CM is the median from C to the midpoint M of AB. Use the total area shown in the figure to find the area of one of the two sub-triangles. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"8",
"9",
"6",
"14"
],
"labels"... | |
f0c8435fbaf6400423e7f58c7076c7a68181242c5e1f387fc513e71750996afd | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"5.33",
"35.53",
"3",
"22.50"
],
"labels"... | |
80943c9c37a9973ad6e7505ee6ef6b8b87e144e3059b9a9dfcb3ebde0d6356cc | [
{
"inputs": "G is the centroid of triangle ABC (intersection of the three medians). Using the vertex coordinates shown in the figure, compute the y-coordinate of G. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"35.53",
"2.33",
"31.72",
... | |
fec4dff0acdf010bab5f3075b7618f1992b98f56dbbb985c9996a368c562d7ca | [
{
"inputs": "Using the three side lengths and the area labeled in the figure, compute the circumradius R = (a·b·c) / (4·Area). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"12.84",
"9",
"37.70",
"8"
],
"labels": 0,
"metadat... | |
04b39bb305f56ca1a75f5d51babd97429c2b146c3f56461bc59150a187218c2d | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"5.33",
"3",
"16",
"5"
],
"labels": 2,
... | |
7abda45df5300a5a760dccc3815a9aacb1e881162b8282da067e98a2e2ce0493 | [
{
"inputs": "M is the midpoint of AB. Read the vertex coordinates from the figure and compute the length of the median CM. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"5.83",
"35.53",
"9",
"8"
],
"labels": 0,
"metadata": "... | |
59c0afb6c9cf2c1146f8379fd5f8669f6241605635a8c6fc5076a071a1b811d2 | [
{
"inputs": "Using the side lengths and area labeled in the figure, compute the inradius r of triangle ABC (r = Area / semi-perimeter). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"9",
"2.10",
"5.33",
"22.50"
],
"labels": 1,
... | |
679294c2b5a15540cc16b4bac9a190b1c8771365212613ac5a55393a34ca08cc | [
{
"inputs": "Using the three side lengths and the area labeled in the figure, compute the circumradius R = (a·b·c) / (4·Area). Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"2.77",
"11.44",
"5",
"37.70"
],
"labels": 1,
"meta... | |
e248fc1933ac383507faa1eaf013f1e79512b669ca022db070aec3d22b08b566 | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"3",
"8",
"31.72",
"22.50"
],
"labels": 2... | |
a0a73e577af54d870586c5c5d0e436a31c654d6437573c905e7fb31e2ef344a4 | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"35.53",
"31.72",
"18.43",
"5.33"
],
"lab... | |
17accac3f22051addc8c32f71e4ee4e6ccab87bc81ead53e861551455d1a4260 | [
{
"inputs": "CD is the angle bisector of ∠C. Using the side lengths labeled in the figure, compute |AD - DB|. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"3",
"22.50",
"2.77",
"1.12"
],
"labels": 3,
"metadata": "{\"bucket\... | |
fd914de5c7314c8f0101fc9d08b50ba8a5b5d7694a89948ce182120bb588f95d | [
{
"inputs": "CD is the angle bisector of ∠C. Using the side lengths and total area labeled in the figure, compute the area of sub-triangle ACD. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"3.01",
"6",
"35.53",
"17.36"
],
"labe... | |
0dfe92838e43f9340d9f8552baee279f05ab2384334f7dc27adcb2b051153e94 | [
{
"inputs": "CD is the bisector of ∠C shown on the figure. Using the value of ∠C labeled in the figure, find the measure of ∠ACD in degrees. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"35.53",
"6",
"19.33",
"9"
],
"labels": 2... | |
bad9425d3caedeb96e3b38723e7ff32987fdd431ea2874b7feb8d039c6c2b573 | [
{
"inputs": "M is the midpoint of AB. Read the vertex coordinates from the figure and compute the length of the median CM. Choose the closest offered value; measurements in the figure are rounded.",
"choices_list": [
"4.25",
"9",
"8",
"5"
],
"labels": 0,
"metadata": "{\"b... | |
6663b4b5f5e80f538b8053c37c8339d57c6636655d3c03285d5e81a8f838f3bd | [
{
"inputs": "4x4 water-fill puzzle.\n\n### Game Rules:\n- Each cell is W (water) or A (air).\n- Within a region, water fills from the bottom (no floating water).\n- Row/column water counts match the given clues.\n\n### Coordinate System:\n- Cells (row, col), 0-indexed.\n\n### Current Puzzle State:\nRegion map:\... | |
47d11b5abec4fa8de2eb152a616129e03f28413a341735526d30ba76abd370ff | [
{
"inputs": "4x4 water-fill puzzle.\n\n### Game Rules:\n- Each cell is W (water) or A (air).\n- Within a region, water fills from the bottom (no floating water).\n- Row/column water counts match the given clues.\n\n### Coordinate System:\n- Cells (row, col), 0-indexed.\n\n### Current Puzzle State:\nRegion map:\... | |
b1ec00960cbb8e1f46f60294046a0084f758e6605405a200b44b4c67eb1b0f96 | [
{
"inputs": "Your task is to solve the 4x4 water-fill puzzle described below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within each region, water settles to the bottom: if a cell is W, then every cell directly below it in the same region must als... | |
f82e4aa33dfabd1931796bfb0a9829a63c48a57969640548a36b6c23b0714b9b | [
{
"inputs": "Look at the 4x4 water-fill puzzle.\n\n### Game Rules:\n1. Each cell is W (water) or A (air).\n2. Within a region, water settles at the bottom (no floating).\n3. Row/column water counts match the clues.\n\n### Coordinate System:\n- (x = column, y = row), 0-indexed.\n\n### Current Puzzle State:\nRegi... | |
f48622b2ee833390e77c50e9d08df06648cd9508562dc71f8443f654d0d8c260 | [
{
"inputs": "Look at the 4x4 water-fill puzzle below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within any region, water settles to the bottom: if a cell is W, every cell directly below it in the same region must also be W.\n3. The number of W ce... | |
c9f40ee10765ac5c9f2ff12dad21c2c9d767eade653323fcba57ee3966b5498d | [
{
"inputs": "Water-fill puzzle (4x4). Within each region water occupies a bottom-up filled level; row/column water counts match the clues.\n\n### Coordinate System:\n- Cells (row, col), 0-indexed.\n\n### Current Puzzle State:\nRegion map:\n1 1 1 0\n1 1 0 0\n1 0 0 0\n1 0 0 0\nRow clues: [3, 4, 4, 4]; Column clue... | |
2177403e1651730073af1707e27dd87f6aa5ffd26388d1870784e83ae13719e8 | [
{
"inputs": "Your task is to solve the 4x4 water-fill puzzle described below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within each region, water settles to the bottom: if a cell is W, then every cell directly below it in the same region must als... | |
ac86172fb6a726e494de43b92473902e9176415d7080184d2a1e73b5a0fb3c74 | [
{
"inputs": "Look at the 4x4 water-fill puzzle.\n\n### Game Rules:\n1. Each cell is W (water) or A (air).\n2. Within a region, water settles at the bottom (no floating).\n3. Row/column water counts match the clues.\n\n### Coordinate System:\n- (x = column, y = row), 0-indexed.\n\n### Current Puzzle State:\nRegi... | |
92a6b2d4b205963c9f957d3d69b5100cfe3e83f08cc0492bfd910c94b26d6049 | [
{
"inputs": "4x4 water-fill puzzle.\n\n### Game Rules:\n- Each cell is W (water) or A (air).\n- Within a region, water fills from the bottom (no floating water).\n- Row/column water counts match the given clues.\n\n### Coordinate System:\n- Cells (row, col), 0-indexed.\n\n### Current Puzzle State:\nRegion map:\... | |
1bfa4b2e5ae458fcd9ad26818a1d21f3e5d3de696d10fe7aaa55d2f1f55ecc2b | [
{
"inputs": "Look at the 4x4 water-fill puzzle below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within any region, water settles to the bottom: if a cell is W, every cell directly below it in the same region must also be W.\n3. The number of W ce... | |
158b8f491203c4e7043b06ad6f1cb09df3f7721288c11312ab78aab17e111c09 | [
{
"inputs": "Solve the water-fill puzzle below.\n\n### Game Rules:\n- Each cell is Water (W) or Air (A).\n- Within any region, water occupies a bottom-up filled level.\n- Row and column water counts must match the given clues.\n\n### Coordinate System:\n- 4x4; coordinates as `(x=column, y=row)`, 0-indexed.\n\n#... | |
78d5e522481ffd85c244cfb3e9d0d76a96b4c122c92ecf9007dc9d822750456a | [
{
"inputs": "Look at the 4x4 water-fill puzzle.\n\n### Game Rules:\n1. Each cell is W (water) or A (air).\n2. Within a region, water settles at the bottom (no floating).\n3. Row/column water counts match the clues.\n\n### Coordinate System:\n- (x = column, y = row), 0-indexed.\n\n### Current Puzzle State:\nRegi... | |
9cb47b2e06cf04e1ed56071b694c22c0ed64f11b8ce96002df9a410458c8cc50 | [
{
"inputs": "Look at the 4x4 water-fill puzzle below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within any region, water settles to the bottom: if a cell is W, every cell directly below it in the same region must also be W.\n3. The number of W ce... | |
974ecc769a02abd7550efd34f6159a25209191673e869a01f40af1f0399a8f5b | [
{
"inputs": "Look at the 4x4 water-fill puzzle below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within any region, water settles to the bottom: if a cell is W, every cell directly below it in the same region must also be W.\n3. The number of W ce... | |
a412a16e89fdcf4b6804bf6d99f949b19fc2657cce238faadfd10b7a0b410bae | [
{
"inputs": "Solve the water-fill puzzle below.\n\n### Game Rules:\n- Each cell is Water (W) or Air (A).\n- Within any region, water occupies a bottom-up filled level.\n- Row and column water counts must match the given clues.\n\n### Coordinate System:\n- 4x4; coordinates as `(x=column, y=row)`, 0-indexed.\n\n#... | |
157bfa1c67c5687f3117df9884e70ef8d88cabf3158cb9d1ab84cacad028f9f8 | [
{
"inputs": "Look at the 4x4 water-fill puzzle.\n\n### Game Rules:\n1. Each cell is W (water) or A (air).\n2. Within a region, water settles at the bottom (no floating).\n3. Row/column water counts match the clues.\n\n### Coordinate System:\n- (x = column, y = row), 0-indexed.\n\n### Current Puzzle State:\nRegi... | |
83037624c9d397656d5c41fd4052726c5be9305cecb37497b5bbc10aeed1278b | [
{
"inputs": "Look at the 4x4 water-fill puzzle below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within any region, water settles to the bottom: if a cell is W, every cell directly below it in the same region must also be W.\n3. The number of W ce... | |
9c263e67c7c40870a323a7da2167599a10247e7b284cfeb1ce9013a8b438f7c8 | [
{
"inputs": "4x4 water-fill puzzle.\n\n### Game Rules:\n- Each cell is W (water) or A (air).\n- Within a region, water fills from the bottom (no floating water).\n- Row/column water counts match the given clues.\n\n### Coordinate System:\n- Cells (row, col), 0-indexed.\n\n### Current Puzzle State:\nRegion map:\... | |
2d92916baacb78f871c51103cded441689738cb92b4d2c5ffd807a082f5982f5 | [
{
"inputs": "Your task is to solve the 4x4 water-fill puzzle described below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within each region, water settles to the bottom: if a cell is W, then every cell directly below it in the same region must als... | |
aa381f500b912be829c59fed96c283eb04325c9b1f617e59cc4b42eca4918acf | [
{
"inputs": "Look at the 4x4 water-fill puzzle.\n\n### Game Rules:\n1. Each cell is W (water) or A (air).\n2. Within a region, water settles at the bottom (no floating).\n3. Row/column water counts match the clues.\n\n### Coordinate System:\n- (x = column, y = row), 0-indexed.\n\n### Current Puzzle State:\nRegi... | |
6e56bd3577a0739e4b553cec3b2e0113b217656303ec660d199854e727d000f7 | [
{
"inputs": "4x4 water-fill puzzle.\n\n### Game Rules:\n- Each cell is W (water) or A (air).\n- Within a region, water fills from the bottom (no floating water).\n- Row/column water counts match the given clues.\n\n### Coordinate System:\n- Cells (row, col), 0-indexed.\n\n### Current Puzzle State:\nRegion map:\... | |
2cf084a047ab789416955ea63af4896c701493bebf93e1724e20b88f8b1216b1 | [
{
"inputs": "Water-fill puzzle (4x4). Within each region water occupies a bottom-up filled level; row/column water counts match the clues.\n\n### Coordinate System:\n- Cells (row, col), 0-indexed.\n\n### Current Puzzle State:\nRegion map:\n1 1 1 1\n1 1 1 0\n1 0 0 0\n0 0 0 0\nRow clues: [0, 0, 1, 0]; Column clue... | |
2707047d1322a5b1e285c4a17bcde026c4e7cd57c0ebf33b664d4498d880c5ba | [
{
"inputs": "Your task is to solve the 4x4 water-fill puzzle described below.\n\n### Game Rules:\nEach region acts like a tank: water sits at the bottom.\n\n### Coordinate System:\n- (x = column, y = row), 0-indexed.\n\n### Current Puzzle State:\n1 1 1 1\n0 0 1 1\n0 0 0 0\n0 0 0 0\nRow clues: [0, 0, 0, 4]; Colu... | |
fb2e8eebced4fdaaf04840513518c4e8189c673464c7559b47de226f2b795c54 | [
{
"inputs": "Look at the 4x4 water-fill puzzle.\n\n### Game Rules:\n1. Each cell is W (water) or A (air).\n2. Within a region, water settles at the bottom (no floating).\n3. Row/column water counts match the clues.\n\n### Coordinate System:\n- (x = column, y = row), 0-indexed.\n\n### Current Puzzle State:\nRegi... | |
529679e771f0d3f144ad58bb63cd7683e46a26595d992cce67c55c2f09ffbf3a | [
{
"inputs": "Look at the 4x4 water-fill puzzle below.\n\n### Game Rules:\n1. The grid is divided into regions (\"tanks\"). Each cell is W (water) or A (air).\n2. Within any region, water settles to the bottom: if a cell is W, every cell directly below it in the same region must also be W.\n3. The number of W ce... | |
17665e5b4a425f1fb6be7b9ed27c3aeb637fe5b6841deb5d4dd7d20f5442cd25 | [
{
"inputs": "4x4 water-fill puzzle.\n\n### Game Rules:\n- Each cell is W (water) or A (air).\n- Within a region, water fills from the bottom (no floating water).\n- Row/column water counts match the given clues.\n\n### Coordinate System:\n- Cells (row, col), 0-indexed.\n\n### Current Puzzle State:\nRegion map:\... |
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tron-mcq
TRON MC keeps native images, options and labels, clarifying rounded measurements.
Source: https://github.com/YangTianze009/TRON (research-use terms). Some geometry figures display rounded measurements while their source gold retains additional precision. Replace the exact two-decimal output request with a closest-offered-value MC instruction. Original questions remain in metadata. This repairs the pinned 100,000-QA mirror without regenerating any images or changing supervision.
Original data: original distribution. Repackaged as parquet for tasksource by scripts/repackage_dataset/procedural/tron.py.
Conversion provenance: source revisions, hashes, configuration and exclusions.
Generation checkpoints record each chunk’s seeds and exclusions. Reproduce with the resumable scale script.
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