| # | source-id | image | prompt | answer | answer_variants |
|---|
1
|
deepvision-math-77k-0-0
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00y\\x00\\x00\\x00u\\x08\\x02\\x00\\x00\\x00\\xe5Z\\xd9e\\x00\\x00\\x19\\x88IDATx\\x9c\\xed\\x9dw\\\\S\\xf7\\xf7\\xff\\xdf7a\\xef)\\n\\x8a\\x02B\\x15E\\x1c\\x05D\\xa0\\x96\\x19\\xf8\\xb1\\t\\x82\\xb5\\x1f\\xa0\\xa0b[\\xd4\\xd6\\xd9\\x81\\xb5v\\xfd\\xea*j\\x8d\\n8\\xa0\\xd6\\x81\\x16\\x14\\\\\\x88\\xca\\x90)\\xa3\\xec\\x15B$\\x05\\x02a\\x85)$\\x84$\\xdf?\\xaeM\\xd3\\xdcK\\x9bK\\xa8\\x02\\xf2\\xfc\\xc3\\xc7\\xcd\\x8bwn\\x0e\\xe7\\x1eN\\xce{\\n\\xf1\\xf9|0\\xcb+\\x01\\xf7\\xba\\rx\\x83\\x90\\x1a\\xef\\x07\\xa3\\xfd\\xf4\\xceA -\\xab\\xae\\xa1-?\\xf6\\x82#\\xaf(\\xf3*\\xcd\\x9a\\x91\\xa0\\xc55\\x9f\\xd3O\\xce\\xbb\\xfc\\x95\\x9d\\xbd\\xbd\\xfb\\xc6\\x90\\xd3\\xb7\\xcb\\xef]\\xba\\xd6\\xf0\\xca\\r\\x9b\\x81 }\\xcd\\xed,?\\xf3%q\\x7f\\xbd\\xed\\xfdg\\xcf2\\xce\\x7f\\xa6X\\x1c\\xfa\\xc3\\xc8\\x8a%\\xaf\\xc1\\xb4\\x19\\x87H\\x0e\\xe1\\x8f\\xb6U\\xa4]\\x8e\\xe3G&|\\xe7\\xbfT\\x1e\\x074Wxn\\xdc3\\xd6\\xbeh\\xdcT3\\x8b\\xf8@\\x7f\\xafC\\x86h\\xf7/\\xee\\xfbr\\xe8\\xd3\\xd2H\\x1b\\xfc\\x9f\\x1a\\x9f\\xcb\\x85\\xf0x\\x94\\xf7\\xce\\x82\\x8d\\xbf\\xe7\\x90\\xb1\\xe1\\xbe>z\\x89\\xc52\\x03a\\xd7\\xce:z\\x92\\x10\\xc9\\xd7x\\xbc4Nj\\x90\\xd1\\xcb\\xf9S\\xe0\\r\\xf7\\xbd\\xe0r8\\x1c\\x1a\\x8d\\xd6\\xdc\\xdc\\xfc\\xaa\\xad\\x9bY\\xfc\\xdd\\xd7R\\x1a\\xf3W\\x98yU\\x9d\\xf9\\xf1t&\\x99L&\\xd7\\x17\\xe7>MI.\\x1a\\x18\\x18\\x188v\\xec\\xe8\\xa7\\x9f~\\xda\\xd2\\xd2\\xf2\\x9a\\xec\\x9c\\t\\x88\\xc45\\xa4\\xbe\\xc4o\\xdf\\xb9\\xcd\\xec3\\xe1^^^^~;\\xbf\\xcdT\\xf7|G\\x8d\\xcf\\xe3\\xca\\xcb\\xc9\\xb3\\xd9\\xec#G\\x8e\\xcc\\xba{\\xc2@h}t>\\x87\\xc5\\xe2\\xf0\\xf8\\x00@8i99i\\x88\\xc1`\\xfc\\xfc\\xf3\\xcfzzz\\xfa\\xfa\\xfa\\x0f\\x1e<\\xd8\\xb7o\\x9f\\xa1\\xa1\\xe1k0v\\x9a\\x83\\xdaG\\x87\\xa4\\xe5\\xe4\\x15\\x14\\x14\\x14\\x14\\xe4\\xe5\\xa4!X\\xe2r\\xb9222\\x9e\\x9e\\x9e\\x0e\\x0e\\x0e\\x91\\x91\\x914\\x1a\\xed\\x15\\x1a9C\\xc00\\x1e\\xc2\\xe5r\\x01\\x00\\xfe\\xfe\\xfe\\x01\\x01\\x01G\\x8e\\x1c\\x99u7V0\\x8f=A\\x10\\xe4\\xeb\\xebK \\x10\\x8e\\x1e=:\\xebnL`\\xf6\\xf5\\xe0\\xe0`]]\\x9d\\x97\\x97\\x97\\x8b\\x8b\\xcb\\xac\\xbb1\\x81\\xd9\\xd7\\xb5\\xb5\\xb5\\x07\\x0e\\x1c\\xc0\\xe1p>>>\\xae\\xae\\xae$\\x12\\xe9\\xf9\\xf3\\xe7\\xff\\x85e3\\x0f\\xcc\\xbe\\xb6\\xb2\\xb2JLL\\x84\\xaf\\xed\\xec\\xecTUU\\xa3\\xa2\\xa2\\x9a\\x9a\\x9a&\\xdb\\xb0\\x19\\xc8D\\xe6\\n \\xe8eqR[[[UU\\xe5\\xee\\xee~\\xec\\xd8\\xb1\\xd9\\xe8\\xfeW0\\x0f\\xe0\\xf5\\xf7\\xf7755\\xad\\\\\\xb9\\x12\\x00`ccccc\\xc3\\xe7\\xf3\\xd9l\\xf6\\xd1\\xa3Gw\\xef\\xdembb2\\xf96\\xce\\x140\\xc7u}}\\xfd\\x0f?\\xfc \\xac@\\x10\\xe4\\xe3\\xe3coo\\x7f\\xe8\\xd0\\xa1\\xd9\\xe8\\xfe\\x07&\\x92\\xaf\\x7f\\xfb\\xed7\\xf8\\xba\\xa7\\xa7\\xa7\\xb4\\xb4\\x14\\xbe\\x0e\\x0c\\x0c\\xdc\\xb0a\\xc3\\xf1\\xe3\\xc7\\xa9T\\xead\\x1a8\\x83\\x90hn\\xb7\\xb6\\xb6\\xf6\\xf8\\xf1\\xe3\\x82\\x97\\xbe\\xbe\\xbe\\xce\\xce\\xceQQQ\\xb3\\xeeF\\x05\\xb3\\xaf{{{\\x8b\\x8a\\x8a\\xe0k;;\\xbbk\\xd7\\xae\\xc1\\xd7]]]%%%\\xbe\\xbe\\xbeNNN\\xb3\\xeeF\\x05\\xb3\\xaf)\\x14JTT\\x14R\\xaf\\xaa\\xaa:u\\xea\\x14\\x00\\xc0\\xd7\\xd7\\xd7\\xd5\\xd55&&\\x86B\\xa1L\\x82\\x813\\x08\\xcc\\xbe\\xb6\\xb4\\xb4LHH\\x80\\xaf\\xbb\\xba\\xba\\n\\n\\n\\xe0k\\x07\\x07\\x87_\\x7f\\xfd\\x15\\xbe\\xb6\\xb0\\xb0\\xc0\\xe1p$\\x12\\xa9\\xb1\\xb1q\\xb2\\x0c\\x9d\\x01H\\x94\\xaf\\xc9d\\xf2\\xd9\\xb3g\\x91zuuuww\\xb7\\x9b\\x9b\\xdb\\x89\\x13\\'f\\xdd\\xfd\\x17|1hoo\\xdf\\xbf\\x7f\\xff\\xb9s\\xe7\\xf8|~wwwvv6j\\x9b\\xdc\\xdc\\\\\\x111))i\\xdb\\xb6m\\xd5\\xd5\\xd5\\xe2|\\xca\\x8c\\x07s\\\\?\\x7f\\xfe<::\\x1a\\xa9\\xd7\\xd5\\xd5]\\xb8pAD\\xf4\\xf3\\xf3[\\xbf~\\xfd\\xe1\\xc3\\x87gs7\\x00\\xd8\\xe3Z\\x18\\x06\\x83\\x91\\x95\\x95\\x85l\\xdf\\xd2\\xd2\\x92\\x93\\x93#xy\\xeb\\xd6\\xad\\x88\\x88\\x082\\x99,IP\\xcc\\x00$\\xca\\xd7\\x8d\\x8d\\x8dqqqH\\xbd\\xb6\\xb6\\xf6\\xf2\\xe5\\xcb\\x82\\x97\\xbe\\xbe\\xbe\\x0e\\x0e\\x0e\\xa7N\\x9d\"\\x93\\xc9\\x92|\\xdc\\xb4G\\x9c\\x07\"\\x1c\\xd7\\x1d\\x1d\\x1dO\\x9e<A\\xb6\\xa1\\xd3\\xe9\\x19\\x19\\x19H\\x9dF\\xa3=}\\xfa\\x94\\xcf\\xe7\\'&&FDD\\xd4\\xd7\\xd7K\\x16
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>In the figure, triangle ABC is a right triangle. The area of the shaded part \u2460 is 28 square centimeters smaller than the area of the shaded part \u2461. Given that AB = 20 centimeters, what is the length of BC?"
}
]
|
18.5
|
[
"37/2"
]
|
2
|
deepvision-math-77k-0-1
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00\\x9c\\x00\\x00\\x00\\x93\\x08\\x02\\x00\\x00\\x00\\xf4\\x8c\\xe7\\xcf\\x00\\x00<\\x92IDATx\\x9c\\xed]g@SY\\xd3\\x9eT \\t\\x04\\x08\\xa1\\xf7\\xdeAE\\x90\\xa2\\xa2\\x88\\xa2b\\xaf\\xab\\xacb\\xefm]\\xfbZv\\xed\\xe5U\\xd7\\x86\\xa2X\\xd0\\xb5\\x17@Q\\x10\\x15\\x04\\xa4\\xf7\\xdeC\\x0b\\x9dP\\x02\\t\\xa9\\xf7\\xfb\\x11e\\x11\\x81\\x15M\\xc0}\\xbf\\xf7\\xf9\\x95\\xdc\\x9c;g\\xee}r\\xda\\xcc\\x9c9\\xa8W\\xaf^yxx\\xc0\\xff\\xf0_\\x04\\xf4`+\\xf0?\\x88\\x1f(\\x04A\\x06[\\x07\\x04\\x00\\xf5\\xf1#\\x9fY^]-\\xade\\xac\\xdc{i>\\xa7\\xb1\\rM\\x91\\xc7\\xf5\\xfc+\\xb3\\xb1\\xaa\\x89\\xc9\\x15~~\\x11G\\x90\\xa6(\\xabJ\\xff}A\\xc8\\xa8e\\x92T\\xc8\\xf8\\xde\\xea\\x10\\xf0\\x84h\\x1c\\x1a\\xf5\\xc5e\\x040].\\xb2\\x18u\\xadR\\xca\\xaaD\\x00\\x00\\x01\\x93\\x87\\x91\\xedE\\xa7\\x01\\x07v\\xb0\\x15\\x00\\xe0\\xe7\\xbc\\x0c\\xce\\x07\\xfd\\x91\\x93\\xac\\xa8\\xac\\x9c\\xd0S7\\x93\\x17\\xfeqT\\x99\\x04\\x00\\xd0AOjU\\xb3S\\xfe\\xac7\\xa98\\xbbk?y\\xd5\\xf5\\x15&\\xa2\\xaf\\x9c\\xfc\\xf8\\x1a\\x1d\\x07\\x9d\\x8f\\x84\\xd5\\xbe\\xd8\\xb6\\xedjY\\x0bF\\x06\\xd3\\xf5\\x16NMa\\xfd\\xdcko7;\\xc8\\x8a\\xbe7\\xbf<\\xb7\\xe3)\\x7f\\xfd\\xb5_m\\xba\\x94\\xc9\\x8c-Q\\xb27S\\xc3\\x00\\x00\\xd4\\'=\\xbe\\x1a\\xdc0i\\xd7\\x06[\\xa9\\xaa\\xf0\\xb0\\xd4v\\x9e\\xe8\\x7f\\xdf\\x98\\x92\\x87\\x9b\\xb4p\\x8e\\x9d\\x9a\\x88<~\\xd2\\xa3+\\xefx\\xc3\\xd6\\xaf\\x9f\\xa4\\x04yW\\xd6$L\\xbf\\xb3H\\x8d]\\xc7\\x96Q&\\x88\\xfb\\r\\xf5\\x17?\\x00\\xa9X\\x0b\\x1b\\xb9\\xd0\\xab\\x85\\xfa\\x93\\xac0\\xa5\\xf55\\xd2B\\xedl\\xff\\x0b\\tB\\xb4\\x8c\\x0c\\x96\\xd5V\\xa9>\\xd6d\\xb6\\x95,@[\\xf2\\xf3\\x80\\xd8r&\\x87_\\x90\\xdfh\\xe2\\x16{\\xf3\\xc6{V\\x1bG \\x14v4TKM\\xd2\\xdb\\xe8(j\\xda,\\xa6\\xcb&\\xdf\\xcb\\xc3T\\xba\\xd5\\x10\\xb6\\xf5\\x18\\xce\\xa8\\xb3\\x89\\xd5\\xbc*\\xe4[XS\\x8a\\x1f>\\xc8\\x15~\\xea\\xa5P\\xad\\xe9)\\xf5v\\xc4\\xcd\\xb3\\xac\\x89\\x00@u\\x986\\xba)\\xbe-\\xa3\\x92\\xab\\x99\\x19\\xf2*\\xa8\\x89\\x85\\x00\\x00\\x90,\\x17\\xcd\\x9a1\\xe4#\\xa3\\xdc\\xcc\\xd0\\x97\\xac\\x11\\xab\\xb6\\xaa\\xd4G\\xde=\\x93\\xd5T\\x97\\xca\\x13\\xf2\\xf6\\xae\\xcfeSf\\xef\\xfe}\\x9c\\xa2\\xc4\\xdfY\\xdf\\x18lRY\\xb9\\xe9\\r\\xaa6c~9\\x00\\x90\\x97\\x18\\xcd\\xc5\\xebO\\x9aE*IKC\\x04\\xd5\\x81\\xe7\\xae\\x99\\x9f\\xacXm\\xc8\\x01\\x00\\x00>\\xab\\xb5\\xa5\\xb6&\\xe5\\xc3[\\xee\\xd2\\xcd\\xc6\\x81W|\\xf2\\x15\\x1c\\xa6YQ\\xb0:n\\xbfn\\xb2\\xc5\\xb7}\\x92&CH\\xb9\\xbd?\\xfa/2\\x19\\x8f\\xc6K\\x13\\tx4\\xb7\\xa3\\x9d\\xdd\\x81Q3\\x1c9O\\x81$*\\xc2H\\xcd\\xc4\\xe9\"q\\xdbv\\xed\\xabau\\xd1\\xc3\\xc5\\'\\xe5\\xf2,M\"\\x004\\xd6\\xe45bL\\x9d=\\xc6\\xd4\\x14\\x95\\xf25&\\x1e?;\\xb1K\\xb1\\xd6\\xf0\\x84b\\xe7a\\x06x\\x8c\\xa0\\x83\\xd9\\xc6bg$\\x10\\xf5T\\xa9\\n\\xb4\\x84\\xe0\\x12\\x95\\xb1\\x8e\\xcc\\x0e\\xbc\\x9c\\x8a\\x92\\x82\\xa4_\\xd9?c\\xb0I\\x95\"7E\\x9e\\xb8\\xa9\\xe3=K\\xa1\"8\\xb3ZOW\\x9d\\x15\\xf14\\xa7\\x03\\x8f\\x06\\x85Y\\xfb\\xaf\\xdbZ\\n\\xf12\\xa2>S~\\xe4\\xc2u#\\xcb\\xfc\\xaf:N\\xf3\\x9a\\x84(Jc\\xe9\\xe6+V\\x18~\\x12B\\xfa\\xf4A($)\\xebh\\xa9k)\\xa3\\x9a\\xc2\\xfd~{\\x98\\x86(;,\\xdc\\xe4\\xed9i\\x8e\\xbb\\xaa\\xa8\\xa16\\x15\\'\\xd2yCF/\\x19\\xf6\\xc8\\xd9\\xbb\\xb6M\\xd4\\xaf3\\xdb\\xdaP<\\xd2\\x10\\xaa6H\\x03\\x00\\xc8\\xb0\\xcbn?\\x8d\\x181\\xce\\xdd\\x8eT~i\\xe3\\x99\\xcc\\x96V4Z\\xc8\\xe7\\x0b\\x01\\x00E\\xd6\\xb111\\x94\\xd2\\xd3u\\xa2\\xca\\x0c\\x9f\\xed%\\x1f\\xff2\\xb7V\\xda\\xcd\\xdd\\xdb\\x90\\x8f\\x189/\\x99@b$\\xbf{+\\x85\\x02\\xa8\\xa9lRRV\\xc0\\xf6:dK\\x1a\\x83M*F\\xddu\\xc6\\xcaj\\x9eR]^\\xd5\\x10A\\xfc\\x8e\\xdf>Td\\x15\\x8bZ\\xd0\\x14\\xebto\\xf5.\\x93\\x1b\\xfa\\xab\\xf5\\xa7\\x8b\\'\\xef\\x90C\\xdas\\xdb\\x9a\\x98\\\\\\x06W(\\xe4\\xbe\\xbf\\xb2\\xaf\\xdcj\\xdbb\\x17\\xb5\\x8fe\\xea\\xaa5\\x1cG\\xa9\\x16\\xbe\\x8b\\xc8+\\x93v\\xfbm\\xdf\\x04\\xd2\\xa4e\\xde\\x14|\\xbb\\xca\\xc7\\xd7[\\x9f\\x98\\x9c\\\\\\xcdA\\xd2OlJ)CK\\xe3>\\x0e\\xbc\\x9c\\x0e\\x8e\\xbc\\xf3BW\\xf2G\\x19\\x04\\xbd\\t\\xeb\\xbd\\xca\\x18\\xd5\\x1dh9\\xed)\\xde\\x0bu\\xb3^\\x04<\\xc3-\\xda5A\\x1e\\x
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>According to the PM2.5 source statistics chart from Lishui, which of the following statements is correct?\nA. Car exhaust is about 3 times that of construction dust.\nB. Construction dust accounts for 7%.\nC. The central angle representing coal combustion is about 126\u00b0.\nD. Coal combustion has the greatest impact."
}
]
|
C
|
[]
|
3
|
deepvision-math-77k-0-2
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00y\\x00\\x00\\x00\\x86\\x08\\x02\\x00\\x00\\x00v\\\\\\xb2\\xd2\\x00\\x00\\x08\\xfeIDATx\\x9c\\xed\\x9dMo\\x12A\\x18\\xc7\\xa7\\xa0+\\x05\\xb6P\\xa1H\\xe9\\xd4%A\\xa4\\xd1&$\\xd8\\xb0\\xa1M\\r\\x1a\\xe2\\xa1\\x07\\xa21\\x86\\x90\\xd4J\\x83\\xad\\x86\\xa4$\\xc6p0~\\x04o\\xfa\\x05\\x8c7\\x0f^<s\\xf0\\xda\\x8b\\xd1\\x83\\xa7\\xa6\\x07\\xb5\\x07\\xdf\\x8d!\\xf5\\xa5\\x11\\xf50v]\\x0bl\\xf7e\\xde\\xd8\\xe5w \\x9b\\xb2\\x9d\\xf93<<\\xfb\\xcc\\xcc33\\x00\\x0c\\x18`\\x0e\\x97\\xcb\\xa5\\\\\\x9f={\\x96\\xa1\\x12\\x9b#\\xcbr,\\x16c\\xad\\xc2\\x19\\xf8\\xfd~t1\\xb0h\\xe2\\x08\\x82\\xc0Z\\x823(\\x16\\x8bn\\xb7\\x9b\\xb5\\n\\xc7p\\xf2\\xe4I\\xd6\\x12\\x1c\\x80\\xe2\\xa9\\x07\\xcd=`\\xc0\\x00\\x8b\\xa4R)\\xaf\\xd7\\xeb\\xf5zY\\x0b\\xd9\\x8bk\\xff[\\xfa\\x8aJ\\xa5\\xf2\\xfe\\xfd\\xfb\\xe9\\xe9\\xe9\\xc9\\xc9II\\x92X\\xcb\\xf9\\x8f!\\xd6\\x02\\xf0322255\\xf5\\xe5\\xcb\\x97w\\xef\\xde}\\xfe\\xfc\\x99\\xb5\\x1c\\xfb\\x02!\\x9c\\x98\\x98@>dvv6\\x1a\\x8d.,,\\xb0\\x16eGz\\x05|\\x10B\\xcaJlK\\xa5R\\x81\\x10^\\xbcxQ\\xe3\\x9eL&\\x83\\xee\\xa4\\xa4\\xc9\\x96\\xc8\\xb2\\xac\\xbf\\xff\\x92J\\xa5\\xd2\\xe94Q=\\xb6\\xc5\\x9cs\\x18\\xb8\\x14c\\x182\\xe7N\\x8a\\xc5\"\\x84\\xb0P(`\\x94dC\\xf4xg\\xfdD\\xa3Q,\\xe5\\xd8\\x10\\x8b\\xe6\\xdc\\x95\\\\.\\x07!,\\x97\\xcbx\\x8b\\xedoH\\xfb\\xd9T*E\\xb4\\xfc\\xbe\\x81\\xce`\\xa9$I(:t\"x\\xbd\\xb3\\x1eJ\\xa5\\x12\\x84p~~\\x9eZ\\x8d\\\\ \\xcb2\\xc3\\xda\\x1d\\xf4\\xd8\\xe4!\\n\\x9e\\x9f\\x9f\\x87\\x10\\x96J%\\xd6B\\x88A\"\\xd8\\xb0B&\\x93\\xe1mx\\x16\\x03\\xf4\\xbd\\xb3~l\\x15\\xa5\\xf0f\\xce]\\x81\\x10\\xe6r9\\xd6*\\xac\\xc1\\x83w\\xd6\\x0f\\x17\\x8f\\xcdb\\xb1\\x88.\\\\.\\xd7\\xa5K\\x97t\\xfe\\x17\\xff\\xe6\\xdcI\\xa1P\\x80\\x102\\x9b\\x88H&\\x93\\x00\\x00u\\x13\\xd7j5\\x8d\\xfby\\xf6\\xce\\xfaQ\\xff\"O\\x9f>M\\xa3J\\xa3\\xb1p_xg\\x9d\\xa4\\xd3i\\xaf\\xd7;11\\x01!$\\x1e\\xb1\\xd4\\xebuA\\x10\\xf4\\xe7\\xe3\\xf6\\x97w\\xd6\\x83 \\x08\\xd9l6\\x9b\\xcd\\x1e<x\\x90Fe\\xca5\\xca\\xf8R\\xa7\\x9d+\\xd8\\xc9\\x9c\\xd5\\x84\\xc3\\xe1x<\\x1e\\x8f\\xc7\\xc3\\xe10\\xe8\\xf8\\x95wm\\n\\x93 \\xbbVg=\\xabK\\x1f\\x1e\\x1e\\x0e\\x06\\x83\\x81@`||\\xbc\\xdf\\xbd\\xb36\\xa1PH\\xb9FO/\\xc4\\xd4\\xd4\\x14\\xcejdYVRr\\xd5\\xd7\\xa7N\\x9d\\x92$)\\x9b\\xcd\\x1e9r\\xe4\\xcc\\x9938\\xab\\xe4\\x0f\\xb59\\xfb\\xfd~\\x82)\\xf7\\xeaoR\\xed(\\x8e\\x1e=\\x9a\\xcdf\\xc7\\xc7\\xc7IU\\xcc\\r\\x9d\\x01\\x02\\xed\\x94\\xf0`0(\\x08\\x02\\x17\\xf1?a\\x14\\x0bc\\x99x\\xef\\xf1x\\xd8TL\\x17\\xf5\\x98Ig\\x08@)w2\\x18\\x0c\\xd2\\xa9\\x88\\x13\\xfc~\\xff\\x8b\\x17/\\xd0\\xf5\\xec\\xec,\\xd5\\xba\\x9d\\xe0@\\xc0~\\xfd\\x06\\xbb\\xe5\\x04\\xb3\\xe5\\xe7\\xcf\\x9f\\xac%\\x00\\x00\\x00X]]e-\\x818\\\\\\xfc|m5\\xd0\\xde\\x9b\\xd1\\xd1Q\\xd6\\x12\\x00\\x00\\xce\\xc8\\x11\\x1d\\x1e\\x1ef-a7%\\xd7\\xf6p\\xd1\\xd6\\x00\\x00{\\x8f\\x84 \\xb8\\xf0!l3=\\xa8\\xc1\\xc5\\xb3\\x11\\x00p\\xee\\xdc9\\xd6\\x12\\x88\\xc3E[;$\\xd3\\x99\\x974\\x12\\'4\\xb7vhK\\xaf\\xdf\\xf8\\xe3\\xc7\\x0fju\\xf1\\t\\xbd\\xb6\\xde\\xd9\\xd9\\xa1V\\x17+\\x0e\\x1c8\\xc0Z\\x823\\x02>\\x8ep\\xc2b7\\xed\\xd0\\x96\\x9e\\x0f\\xf9\\xfe\\xfd;\\xb5\\xbaX\\xe1r\\xb9\\x94\\xcc\\xaf.\\xef\\xd2\\x94b{|>\\xdf\\xe3\\xc7\\x8fY\\xab\\x00 \\x91H\\xb0\\x96@\\x03.B[.\\xfaT\\x84\\xe1\\xa2\\xa1\\x813\\xda\\x1ap2\\xf2\\x83\\x92\\xaf\\xec\\r/\\xa1-/c\\xbb\\x84\\xe1\\xc2\\xae\\x9d\\xd0\\xd6\\xbc\\xcc=\\x89\\xa2\\xc8Z\\x02\\r\\xb8\\x98Yu\\xc2\\xb3\\x91\\x17\\xbbvB[\\x03\\xcd\\x8f9\\xe87\\xd2\\x83^[\\x07\\x02\\x01ju\\xf1\\xc9\\xc0\\xae1\\xb3\\xbd\\xbd\\xdd\\xeb\\xadA[cF#\\xa5\\x8f^[;--\\xb8\\x13\\xaav\\xcdK\\x17\\x96$>\\x9f\\x8f\\xb5\\x04N:\\xaf\\xe4\\xe1%\\xb4\\x1d\\xa4\\xe3P\\x82\\x97\\xb1]\\xc2H\\x92\\xa4\\xbd\\n\\x9f\\x12]\\x9b\\xfb\\xd8\\xb1c\\xf4\\x95\\x90\\x83\\x8b\\xf1\\x90^\\x93\\x9e\\xf6;U\\xea\\xca\\x95+\\xac%\\xf4x<\\xda\\xac\\xad\\x05A`?z\\xdc\\x19\\xf0\\xa1\\xa6\\xb7\\xd3V\\x00\\x1e\\x8fgfffzz\\xba\\xeb$\\x14\\xb6\\xf8\\xba^\\xaf+\\xaf]y\\xf4\\xe8\\x91\\xbaY\\xe7\\xe6\\xe6\\xd6\\xd7\\xd7m\\x16\\x08\\x0e\\r\\r\\xb9\\\\.\\xb7\\xdb\\x8d9yq
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>In the figure, \\(BC=2\\), point \\(A\\) is on the circle \\(\u2299B\\) with a radius of \\(1\\). Connect \\(AC\\) and construct a regular hexagon \\(ACDEFG\\) above \\(AC\\). Connect \\(BD\\). What is the maximum value of \\(BD\\)?"
}
]
|
2\sqrt{3}+1
|
[
"\\sqrt{13 + 4\\sqrt{3}}"
]
|
4
|
deepvision-math-77k-0-3
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00|\\x00\\x00\\x00U\\x08\\x02\\x00\\x00\\x00\\x04\\xdf\\x17\\x17\\x00\\x00\\rwIDATx\\x9c\\xed]]L\\x1cU\\x1b~\\xdf3\\xb3\\xbb\\x14i+\\xad\\xb1\\xc4\\x96\\xa8\\x18bD\\xed\\xaf\\xa9m\\xfd*E!\\xa5\\xc6\"m*\\x8a]\\x11H\\x1b\\xeb\\xcf\\x8d\\x17z\\xa7\\x97\\xc6\\x1bc\\xa2&&Fb\\xad\\xa4 \\xa1\\x82@\\xffS\\xd1\\x1a\\xa06X\\xa9\\x9f\\xdb\\x05\\xac6[\\xd2j\\x15\\n]\\xbe\\xdd\\x85\\x9d\\x99\\xf3~\\x17gw\\x18\\xfewf\\x97\\xeeR\\xf7\\xb9\\x9a=3\\xe7\\x99w\\x9fs\\xe6}\\xcf\\x9e\\xf3\\x9eY$\"H\\xe2\\xe6\\x82\\xc5\\xdb\\x80\\x7f#\\x92\\xa2\\xc7\\x01I\\xd1\\xe3\\x80\\xa4\\xe8q\\xc0\\xec\\xa2s\\xce\\xe3\\x1el)\\x8c\\xf8\\x9a\\x11+\\xc4\\xb8\\xa7\\xcf\\xa94\\x888G\\xcc7\\x19I\\xf7\\x12\\x07\\xc81\\xe4\\xd2\\xfb8\\xe7<\\x86\\xb4\\x13p\\x0b\\xf4\\xf7hE\\xd7\\x85\\x16Zp\\xce\\xbd^o\\x7f\\x7f?\\x11\\xc9\\xb2l\\xcd\\xd5 \\xa2^\\x91\\x85\\x01\\x00\\xa9\\xa9\\xa9\\xe9\\xe9\\xe9\\xffv\\xd1\\x854D$d\\xe2\\x9c_\\xbbv\\xad\\xa9\\xa9\\xa9\\xbe\\xbe~xx\\xd8n\\xb7G.\\xba \\x11\\xc7\\xba\\xe8\\x88\\x88\\x88\\x9a\\xa6I\\x92t\\xf7\\xddw\\x97\\x94\\x94\\x14\\x16\\x16\\x8a\\x06\\x98\\xd7\\xb0.\\xba\\xae\\xb8\\xf8\\xa8iZooo]]\\xdd\\xd9\\xb3g\\x97/_\\x9e\\x91\\x91!\\xcb&\\xc8\\x8d\\xa2\\x8b\\x8f\\x8c1\\x87\\xc3\\xe1\\xf1x\\xbe\\xfe\\xfa\\xeb\\xa1\\xa1!Y\\x96\\xef\\xba\\xeb\\xae[@q\\xb0,\\xfa\\x04\\xaf\\xa2iZggg}}\\xbd\\xcb\\xe5Z\\xbf~\\xfd\\x9e={233\\xa31K\\x7fn\\x9a\\x9b\\x9b\\xaf]\\xbbv\\xf2\\xe4\\xc95k\\xd6\\xac[\\xb7.\\x1a\\xce\\xc4A\\x0c\\x02\\xa9\\xcf\\xe7;{\\xf6lMM\\xcd\\x95+W\\x9e~\\xfa\\xe9\\xdd\\xbbw\\xdf~\\xfb\\xed\\xa6\\x18tg\\xa2\\x1f\\x8b\\xe7\\xa6\\xba\\xba\\xba\\xa7\\xa7\\xe7\\xa1\\x87\\x1er\\xbb\\xdd\\x8a\\xa2Doj\\x82\\xc0\\xb4\\xe8\\xba@\\xe2 \\x10\\x08\\x1c;v\\xac\\xa6\\xa6F\\x92\\xa4\\xb2\\xb2\\xb2\\x82\\x82\\x02k\\x8a\\xeb\\x81\\x01\\x00FFF\\xba\\xba\\xba>\\xfd\\xf4\\xd3\\xbf\\xfe\\xfa\\xcb\\xe9t\\xae^\\xbd\\xba\\xbd\\xbd}dd\\xc4\\xac\\xa9\\t\\x0b\\xeb\\xee\\x85s>88XWWw\\xe4\\xc8\\x91;\\xef\\xbc\\xf3\\xd9g\\x9f}\\xfc\\xf1\\xc7SSS\\'x\\xe7\\x08\\xd9 \\xfc\\xc3\\xca\\xe7\\xf3\\x1d?~\\xbc\\xae\\xae\\x8es\\xeet:\\xb7o\\xdf\\xeep8l6\\x9b\\xa6i\\xd6LM@X\\x14\\x9ds\\xfe\\xdbo\\xbf544\\x9c>}:++\\xeb\\xc5\\x17_\\xdc\\xb0a\\x03\\x18|}\\x840\\xc6\\x06\"\\xfa\\xf3\\xcf?[ZZN\\x9c8\\xe1p8\\x9cNgaa!\"z\\xbd^EQn\\x81\\x91\\xa2\\x0e+\\xa2\\x07\\x02\\x01\\x97\\xcb\\xd5\\xd4\\xd4\\xd4\\xd1\\xd1\\xb1q\\xe3\\xc6\\xf2\\xf2\\xf2\\xfb\\xee\\xbbO\\x9c\\xb2&\\r\"\\xaa\\xaa\\xea\\xf1x\\x1a\\x1a\\x1aZ[[333\\xf7\\xee\\xdd\\xfb\\xc8#\\x8f@\\xf8\\x91\\xb2\\xc0\\x99\\xc8\\xb0\"zwwwuu\\xf5\\xc5\\x8b\\x17w\\xed\\xda\\xb5c\\xc7\\x8ee\\xcb\\x96Y\\xbe\\xbd\\x1e<\\xff\\xf9\\xe7\\x9f/\\xbe\\xf8\\xa2\\xad\\xadm\\xd3\\xa6M\\xe5\\xe5\\xe5\\xf7\\xde{\\xafe\\xce\\xc4\\x87\\xb9\\xa14\\x00\\x04\\x83A\\xb7\\xdb=::\\xeat:\\xb7n\\xdd\\x9a\\x9a\\x9a\\x1a}\\x88#\\xa2\\xbe\\xbe\\xbe\\xa1\\xa1\\xa1\\xfc\\xfc\\xfc\\xe7\\x9f\\x7f>+++J\\xc2\\x04\\x87\\xb9\\x9e\\x1e\\x08\\x04jjj\\xaa\\xab\\xab\\x07\\x06\\x06$I:\\x7f\\xfe\\xfc\\xe8\\xe8\\xa8x\\xfc-\\xc4\\xcf\\x90\\x05\\xb2\\x1c\\x0c\\x06GGG7o\\xde\\x9c\\x97\\x97\\xb7b\\xc5\\n\\x0b$\\xf3\\x0b\\xe6D\\xf7z\\xbd\\x9f}\\xf6\\x99\\xc7\\xe3y\\xf8\\xe1\\x87{zz\\x8c#\\nk\\xa2\\x8b\\xf8y\\xf5\\xea\\xd5\\xeb\\xd7\\xaf\\x97\\x97\\x97\\xff\\x1b\\x14\\x07\\xb3\\xa2\\x0b\\x95\\x8b\\x8a\\x8a\\xde}\\xf7\\xddXM\\x9d\\x13Qcc\\xe3{\\xef\\xbd\\xe7\\xf3\\xf9\\xa2g\\x9b\\x170\\':\"\\xca\\xb2\\xbcx\\xf1\\xe2%K\\x96\\xc4\\xca\\x02\"\\xca\\xc8\\xc8\\xb0\\xd9l\\xaa\\xaa\\xc6\\x8a3\\xc1az\\xfe\\x08\\x11\\x83\\xc1`l\\x8d\\x08\\x04\\x02\\x96C\\xc2|\\xc4\\xad0i7\\xef\\x90\\x14=\\x0eH\\x8a\\x1e\\x07$E\\x8f\\x03\\x92\\xa2\\xc7\\x01I\\xd1\\xe3\\x80\\xa4\\xe8q@R\\xf48 )z\\x1c\\x90\\x14=\\x0eH\\x8a\\x1e{\\xcc:\\x15\\x98\\xb8\\xa2O0}~\\xcd\\xcc\\xcc,z,\\x13H\\xe7\\x0e\\xa2\\x01FGGcEh\\xcc\\xb1\\x89-\\'\\x00H\\x924s\\x17\\x99\\x07\\xa2/X\\xb0\\xc0n\\xb7\\xff\\xf8\\xe3\\x8f\\x1f|\\xf0\\x01\\x98O\\t6\\xa6\\xa3\\nH\\x92\\x94\\x92\\x92\\x02\\x00~\\xbf\\x9fs>\\x83@\\xfa\\xa9\\xe9\\x9aG\\'\\x97$\\xc9n\\xb7K\\x92\\xb4`\
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>The figure is a geometric body composed of \\(4\\) identical cubes, and its left view is ( ) \nA. $\\boxminus$\nB. <img h=\"70\" src=\"tikuimages/2/2018/400/shoutiniao66/763ece2c89e7feb475221e0b03ec7c45.png\" w=\"100\" />\nC. $\\boxed { \\begin{array} { r l } \\end{array} }$\nD. $\\boxed { + }$"
}
]
|
A
|
[
"the shape represented by \\boxminus"
]
|
5
|
deepvision-math-77k-0-4
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00\\x85\\x00\\x00\\x00x\\x08\\x02\\x00\\x00\\x00S\\xb4\\xa6\\xac\\x00\\x00\\x08;IDATx\\x9c\\xed\\x9d?l\\xdaN\\x1b\\xc7\\x8f\\x9fR\\tuh3V]\\xca\\xd0\\xc1\\xed\\xe4nfi\\x9d\\r\\xa6:\\x1b[\\xc3T\\xd8@\\xaaT\\xa8T\\xb9Ln\\'2\\xd5\\xd9\\xd8\\x9anN\\'\\x8f\\x07\\x93Q\\x17\\xe8\\x04\\x9d\\x92NF\\xea`o\\xf6\\xe6w8\\xbd\\xd41\\xc66\\xfe{\\xe7\\xdcgI \\xc8\\xcf\\xe3|\\xed\\xe7\\xbew~l*\\x8e\\xe3\\x00\\n6\\xfcWt\\x02\\x94[P=\\xf0\\xe2\\x96\\x1e\\x95J\\xc5\\xf3\\x0b\\xfe\\x90\\x98s\\x00\\xf4\\xfc\\xc0\\x0b\\xaa\\x07^\\x84\\xebAb\\x1d 1g\\xc4Q@\\xea\\xe8O\\x18\\x1ab\\x12s\\x8e\\xc8\\x91;u\\xf7~V*\\x15l\\xf7\\x8a\\xc4\\x9c#\\xb2\\xb7^\\x91\\xb8c$\\xe6\\xec\\x81\\x8e\\xe7xA\\xf5\\xc0\\x8bHz\\x90hWH\\xcc\\x19\\x00p\\x84~\\x90\\x98=\\x899\\x87r\\xe46\\x88\\xa4\\xec!\\x899G\\xe4\\x08\\xf8\\xd9\\x12\\xc7q\\xdc\\xfb\\x89\\xa1o!1\\xe7(\\x10o\\xd8K\\x06\\xf5WxA\\xf5\\xc0\\x0b\\xaa\\x07^\\x1c\\x15\\x9d\\x00\\xd6,\\x97K\\x00\\x80m\\xdb\\xd5j\\x95e\\xd9\\x1c\"\\xd2\\xf1<\\x88\\x17/^\\xbc|\\xf9\\xf2\\xe7\\xcf\\x9f\\xaa\\xaa\\x1e\\x1f\\x1f\\xe7\\x10\\x91\\x9e\\x1f{\\xf9\\xfa\\xf5\\xeb\\xdf\\xbf\\x7f\\xef\\xdf\\xbf\\xafiZ~Q\\x9d0TU\\x95$)\\xf4cy\"\\x8ab\\xd6!f\\xb3\\xd9\\xbd{\\xf7\\xbe}\\xfb\\x96u \\x0f\\xe1zL&\\x93\\xb3\\xb3\\xb3\\x1cR\\x89N\\x94\\xc3(\\t\\xa2(>~\\xfc\\xf8\\xc3\\x87\\x0f\\x99F\\xf1\\x85\\xfa\\xab[l6\\x9b\\x93\\x93\\x13\\xd34\\x1f<x\\xf0\\xf1\\xe3\\xc7\\xfc\\x13\\xa0z\\xfcc:\\x9d6\\x9bMQ\\x14\\xff\\xfc\\xf9#IR\\xb5Z\\xcd?\\x87\\xf0\\xf1\\xbc\\xd1hp\\x1c\\x97C*\\xd1\\x11E1\\xf5m\\x0e\\x87\\xc3\\xf9|\\xae\\xaa\\xeaz\\xbd6MS\\x10\\x84\\xd4CD\"\\xff\\x12\\x89\\x1b\\xba\\xaes\\x1c\\xb7\\xf5,,\\xcb.\\x16\\x8b\\xa2\\x92\\xb9\\xebz\\xa8\\xaa\\xca0\\x8c\\xa6i\\xe8\\xe5x<\\xee\\xf5z\\x05\\xe6sw\\xfd\\xaeeY\\x83\\xc1\\xa0\\xd1h\\x18\\x86\\x81\\xde1\\x0c\\x83a\\x18]\\xd7\\x93o<6\\xe1\\xe3\\xf9f\\xb3\\xf9\\xfd\\xfbw\\x0e\\x953:\\xa3\\xd1(\\xe1\\x16nnn\\x9a\\xcd\\xe6\\xc3\\x87\\x0f\\xdd\\x13\\xef\\xd1h\\xf4\\xf6\\xed\\xdbG\\x8f\\x1e%\\xcd/\\x01wq~~uu5\\x1a\\x8ddYv\\xfb\\x94\\xe5r9\\x9f\\xcf%I*01p\\xd7\\xf4\\xb0m{8\\x1c\\xde\\xdc\\xdc@\\x08=\\xebQ\\xa3\\xd1\\xe8\\xfd\\xfb\\xf7\\x85x\\xdc[\\x84V4]\\xd7W\\xabU\\x0e\\xa53:\\xf1\\xc6\\x8f\\xd5j\\xc5\\xf3\\xfcx<\\xde\\xfd\\x93\\xa2(\\x82 $\\xcc*\\x15\\xee\\x8a\\xbf\\xba\\xbc\\xbc\\xe48n\\xeb\\xa3\\xdcX\\x96\\xc5\\xb2,&\\xc7\\\\\\xf9\\xeb\\x95m\\xdb\\xfd~\\xdf4\\xcd}k\\xe6\\x17\\x17\\x17<\\xcf3\\x0c\\x93{j~\\x84*F\\xb4\\xdf]\\xadV\\x1c\\xc7\\xc9\\xb2\\xbc\\xef\\x03\\xba\\xae3\\x0c\\xb3\\xb5\\xbc\\x85S\\xe6\\xf5\\xdd\\xc9d\\x12:\\xd9\\xeet:\\x01j\\xe5O9\\xeb\\x95m\\xdb\\xddn\\x17\\x00\\xa0iZ\\x80eB\\x1eW\\x96\\xe5\\x1cS\\x0b\\xa1\\x84\\xeb\\xbb\\xeb\\xf5\\xba^\\xaf\\xbfz\\xf5j2\\x99\\x04\\xfb\\xd7~\\xbf?\\x1e\\x8fsK,\\x12\\xa1g\\x10Y~W\\x96\\xe5\\x88f\\t\\x1f\\x8f\\xeb\\xa6<\\xfd\\x0c\\xa6iv\\xbb\\xdd\\xe3\\xe3\\xe3\\xf1x\\x1c:\\xad\\xb3m\\xfb\\xd9\\xb3g\\x9a\\xa6\\x15\\xbb:\\xb2KI\\xea\\xd5r\\xb9l6\\x9b\\xaf_\\xbf\\x96e9\\xca\\x1c\\xfb\\xfc\\xfc\\xbc\\xd5j\\xe1&\\x06\\x00\\xa5\\xf0\\xbbh%*zQ\\xd5u\\xbdV\\xabY\\x96\\x95~f\\x89!{}\\xd74\\xcd\\xd3\\xd3\\xd3_\\xbf~A\\x08\\xa3O\\xe8\\xfa\\xfd~Q\\x97cC!\\xb8^\\xcd\\xe7\\xf3\\x93\\x93\\x937o\\xdeD\\xacQ\\x88\\xe5r\\xb9^\\xaf[\\xadV\\xa6\\xb9\\xc5&\\x1d=*\\x95\\x8a\\xe7\\xbec\\xdfwR\\x89\\x858??\\xaf\\xd7\\xeb\\xcb\\xe5\\xf2\\xf4\\xf4t7\\x93\\x80\\xd0\\xedv{2\\x99\\xa4\\x98I\\xca\\x84V\\xb4P\\xbf\\xeb\\xd9\\x88\\xfb%\\xf8\\xff}1\\xbe\\x9f\\x8c\\x87a\\x18O\\x9f>\\x05\\x00l\\x07\\x00\\xdf\\xed\\xfb\\x86\\xc6p\\xad\\xc1C\\xd2\\x7f\\xd0\\xee\\xbf8S=4Mc\\x18FUU\\xdf\\x88\\xc1\\xa1-\\xcb\\xaa\\xd5j\\xc5^\\x8e\\r%\\xd1z\\tz\\x1eB\\xe8#*\\xa2|&\\n\\x9f?\\x7f\\xfe\\xf1\\xe3\\x07\\x84\\xd0\\xedS\\x83\\x9f\\xc9\\xe0\\x0e=\\x1c\\x0e\\x0b\\xbf\\x1c\\x1bN\\xa8b\\x01~\\xd7\\xbd\\x85\\xdd_\\x9c\\x94\\n\\x94\\xe38\\xba\\xae7\\x1a\\x8d\\xc1`\\x80^n\\xfd\\xaeg\\x17\\x02B\\xe3\\xecq\\xdd$Z\\xdf\\xf5\\xdd\\xff\\xd4\\xf5\\x80\\x10\\xb2,\\xeb\\xaeQ\\x9e\\xcdF\\t-\\x08\\x82\\xa2(\\xc9\\x93\\xc9\\x1a\\xdc\\xd7w?}
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>As shown in the figure, a fishing boat is sailing at a constant speed towards the east on the sea surface. At point $A$, the lighthouse $M$ is observed to be in the direction of 60 degrees north of east. After sailing for half an hour, the boat arrives at point $B$, where the lighthouse $M$ is observed to be in the direction of 30 degrees north of east. How many more minutes must the boat continue sailing to reach the closest distance to the lighthouse?"
}
]
|
15
|
[]
|
6
|
deepvision-math-77k-0-5
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00p\\x00\\x00\\x00d\\x08\\x02\\x00\\x00\\x00\\xd1\\xc5#\\x91\\x00\\x00\\n\\xfaIDATx\\x9c\\xed]OLS[\\x1a\\xffN\\x99\\x84\\x8dI]4\\x91(\\x04\\x19e^\\x85I\\x1e\\x0b\\x12X\\x94P\\xf2\\n\\xd6`\"D\\x08,HtQ\\x82\\x14\\x12\\x1b\\xbb\\xb1\\xd1xo\\x15]\\x15\\x1f$\\xc2\\x908\\x13Y`\\xa2\\t\\xf3Z&\\x98\\x01\\x9f\\xa6%\\xc1H\\xa2\\xc6\\x05-83\\xcc\\x08\\xc1\\x85\\x06\\x165\\xb0\\xc0\\x04\\xee7\\x8b\\xd3^.\\xfd{o\\xefi)\\xd0\\xdf\\xe2RNO\\x7f\\xf7\\xeb9\\xbf\\xf3}\\xdf9\\xf7\\xdc[\\x82\\x88\\x90\\x0c<\\xcf\\'\\xad#\\x07>\\x9f\\x0f\\x00\\x8cF\\xe3a\\xa5\\x02\\x80?\\xc8\\xac\\xc7\\xaaM\\x0f7x\\x9e\\xd7\\xa4\\xfb\\x1c\\xd2\\x11\\xc0\\xf3<\\xab\\x8eaBEmchU\\x884)8\\x8e\\x93S\\xed\\xc0A\\x10\\x04\\xb6\\x84\\x1c\\xc7)S(\\xcap\\xb8\\t\\x90m\\n%\\x84\\xa8\\xa7\\x8al\\x139\\r\\xcf\\xf3<\\xdb\\x9ed\\x05\\xe6\\x12Si\\x00\\xc7q\\xb2\\x82\\x12\\xaa\\x13\\xa6\\x08*\\x04&\"\\xcd\\x12*\\xaa\\xf1=\\x90\\xd3\\x0f\\x87\\xd5\\x872\\x87b\\x1f\\xaa\\x12\\xd9\\xe6C\\x99S\\x01\\xe4\\x14\\xca\\x149\\x852\\xa6\\x028\\x92\\nM_npD\\x15\\x1a\\x11\\x9as\\n\\xcd^\\x1cQ\\x85\\xa6\\x8f\\n \\xa7P\\xa6\\xc8)\\x941\\x15@N\\xa1L\\x91S(c*\\x80#\\xa9\\xd0\\\\\\x1e\\xca\\x98*\\x97\\x87\\x1e\\x18\\x1cQ\\x85\\xa6\\x8f\\n \\xa7P\\xa6\\x90\\xabPz\\xe5\\x9a\\xe38\\xd8\\xbb\\xbe\\xad\\xf4h4\\x1aE9\\xa4pDD\\xf15\\xcf\\xf3\\xf4J\\xbaR\\x1e\\xa7\\xd3\\x19\\xf1]TZ\\x15q\\x94\\xd5\\xa0\\xd4\\x8b\\xc7X\\xeeW\\x08jz\\xca\\x1f\\x97\\x1a 6\\xa8R \"\\xa5\\xc2\\xf0u\\x1d\\x95V\\xc58A<\\x88\\xe9\\x05\\xab!\\xcfq\\x1c\\xc7q\\x82 \\xa8O\\\\(\\x15\\x0b\\xa3\\x90\\xe3\\xb8;w\\xee0\\xa1\\xe2y>\\x13>4My\\x1f+Z\\x86\\xe6e(\\xca\\x8bC\\x95mh\\xa6\\xdeP=\\x9cNgF\\xa3\\xbc \\x08L\\x06\\xd7\\xbe_CO\\x1f\\xa4\\xbe1\\xaeB1\\xec\\xb3\\xe3\\xc5\"\\x8cs\\xb1>^9!$\\xa6\\x16\\x94\\xf2PD\\x8b=5\\x9eh*\\xa5<\\x88\\xb8\\xa7\\x89\\xe4\\xf4@\\xf6\\xe4\\xa1Y.\\xf3l\\x9c)!\\x08\\x18\\xa5\\x05\\x01\"\\x87\\x0b[w\\x9cQ\\x1f\\x8a\\x99U\\xa8l\\r\\xee\\xa4\\xd7\\x8e\\x94 wo\\x13+Hg\\x14\\xf1 s\\xfa\\xc0\\xf3w\\x01\\x80\\xe7xP;\\xdb\\x90e\\x95\\x02\\xc8l\\xf84wm\\x12D\\x88VTqj.5\\xb7\\x1eJ!\\x04&\\xfa=\\x01\\x04\\x04B\\x90R\\xa56\\x1b\\xce\\xad\\x87\"\"\\n\\x180\\x01\\xb8\\xfdam\\xee\\xaf5qp\\x90\\x14\\xfak\\xef\\x10\\xa9\\xaf\\xff\\xa9\\x0c\\x00\\x00\\x11\\xef\\xb2\\x9b\\xde\\xb0U\\xe8>\\x04\\xa5\\xc4\\x10\\x005@\\x00B\\x89\\x12\\x1d\\x9c\\xee~+\\xd6\\xd7\\x0bC\\xffB \\x02\\xa0\\x86\\x10\\xba\\xfe\\x961\\xab\\xe4#\\xeb\\x14\\xaa\\x01\\x82t\\xfa\\x11nMX\\xf0\\xbc\\x82\\x06{)y]\\xff\\xa7s\\xe1\\xe6\\xe6\\xf9;<\\x7f\\x17X\\xec\\xac>\\xfc>4\"\\n\\xf7\\xf4\\xf4 \"\\x06\\xdc\\xa6\\x1eWd\\xd5\\x9d\\xec\\xf2\\xa5\\x07\\xc0\\x87z\\x1e\\xf6\\x0c\\r\\r\\x11B\\xc8\\x9f\\x9bcPiTg\\xa1\\x87\\xde\\x87\\x824\\xadY\\xf0\\xfc\\x8e\\xe7\\x11\\x87\\x00\\x84\\xc0\\xc4\\xaf\\xc3Kg\\x94R\\xc5\\x04\\xee]\\xce`\\xebC\\xb3n\\xa6\\x04\\x00\\x00\\x02\\x80\\x06\\x16<\\xc4\\xf6\\x12_\\x0e\\x03\\x00\\x80\\xe6?\\xff\\xfd\\x1f@\\xa8A\\x11\\xd1\\xe9t\\x12\\x04\\xce\\x99\\x94*\\x06\\xa2\\xf3PyV\\xc9\\x83L\\xd7\\x90V\\xd7\\x13\\r\\x97\\xd5D\\xcd\\xa3\\x89\\xa7\\xb5>d\\xad\\xa9\\xc7%\\xf1\\x9aY7\\x9d\\xcf\\xc6\\xb9<\\x85}\\xe8w\\xfb\\x90 \\x00\\xd1\\x00\\x02\\x90\\xa1\\x978\\x14E\\x85\\x88L\\x16\\xed\\x8f\\x84BE\\xc4\\x8c\\xe2Y\\xbb*z\\x00\\xa2|\\xcc(N\\x08\\xe9\\xec\\xec\\xbcq\\xe3F\\xf4[\\xa8\\xfc\\xa6?\\xf5Q^zR\\x05\\x1b\\x1d\\xa4C#\\xb5#!D\\xb4>\\xde\\x91\\x8e\\xe2\\x04u\\xa6\\xa7\\xa7O\\x9e<9;;;<<\\xfc\\xe6\\xcd\\x9b\\x88w\\xe9)\\x92Z\"=\\x0b\\x00p\\x1c\\xa7\\xe6{I\\xd92\\xeaC\\xbd^o\\x84\\x82\\xa2\\x05\\x95@b333O\\x9e<y\\xfe\\xfcyMM\\xcd\\xb9s\\xe7\\xc6\\xc7\\xc7\\x1b\\x1b\\x1b\\xdb\\xdb\\xdb\\xa3k&\\xd5\\xa9\\xb4\\x82\\xd7\\xebMn\\xba|\\xc8t\\rir:\\x18\\xdf!J\\xcb\\xdf\\xbd{g6\\x9b\\x0b\\x0b\\x0bGGG\\xa5\\x15FGG\\xb5Z\\xad\\xdf\\xefO\\x9fy\\x8a\\x90\\x15Q>\\xde\\x9a&-\\xff\\xf4\\xe9\\x93\\xc3\\xe1\\x98\\x9b\\x9b\\xe3y~rr2///\\x82jkk\\xcbd2y\\xbd^\\xbd^\\xcf\\xd0\\xaa\\xd4!\\xb3\\xe1\\x99t`\\x84\\x18\\x13\\x07\\xeb\\xe5\\xe5\\xe5\\xb6\\xb66\\x9dN\\xe7r\\xb9\\xb6\\xb6\\xb6\\x12\\x
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>Triangle ABC is a lattice triangle. The number of lattice triangles that can be constructed in the figure, which are congruent to triangle ABC and share one common side (not including triangle ABC), is ______."
}
]
|
4
|
[]
|
7
|
deepvision-math-77k-0-6
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x01\\x1b\\x00\\x00\\x00R\\x08\\x02\\x00\\x00\\x00\\xebo\\xe7f\\x00\\x00\\x1c.IDATx\\x9c\\xed]o\\x8c\\x1c\\xc5\\x95\\x7fU\\xdd==3;\\xb3\\xb3\\x7ff\\x8d\\x81(&,\\xb2Lt\\x12H\\'\\x08\\xb9#\\x89\\x92\\xa0\\xe4\\x83Y\\x0b\\x82OQP\\x82\\x14\\xc7\\x80?D\\x06\\xec\\x0c\\x04\\xc5\\x89\\x13\\x83\\x10\\xc1\\xb9(A\\xc1\\xac\\x9d\\x13\\x1f\"\\x04\\x1f\\x12\\xcc\\x81\\x0e\\x13\\xb1N\"E\\xf9\\x14YQr\\'\\xce\\x8e\\xbc\\x06\\x8e?\\x1bvgw\\xfe\\xf5LO\\xff\\xabz\\xf7\\xe1\\xed\\x94{gv\\xc7\\xd8\\xde\\x99\\x1eL\\xff\\xb4Z\\xf5\\xf4\\xd4tUW\\xd5\\xab\\xf7\\xea\\xfd+\\x86\\x88\\xae\\xeb\\x9a\\xa6\\x19\\x04\\x01\"\\x1a\\x86\\x01\\x00B\\x08M\\xd3`\\x90\\xa0\\x9a$\\x84\\xb0,kdd\\x04\\x00l\\xdbN\\xa7\\xd3\\x11\\xb7,F\\x8c\\x10X\\xb1X\\xcc\\xe7\\xf3DT\\x00`YV6\\x9b\\x95RF\\xdd\\xb0vp\\xce\\x01@JI\\x17\\xf5z\\xdd4M]\\xd7\\x19cQ7-F\\x8c\\xb3`RJ\\xc6\\xd8\\xf5\\xd7_?77W,\\x16\\x01`bb\\xa2X,\\x0e\\xdaLED\\x00\\xd0u=\\x08\\x02\\x00\\xd04mrr\\xf2\\xe4\\xc9\\x93D`1b\\x0c\\x08\\x18\"V\\xab\\xd5\\xd1\\xd1\\xd1r\\xb9\\x9c\\xcb\\xe5\\x00\\xc0\\xf3\\xbcD\"\\xe1\\xfb~\\xd4m[\\x01\\xc30\\x1c\\xc7I&\\x93\\x00@,t\\xe3\\xc6\\x8do\\xbe\\xf9\\xe6\\xd0\\xd0P\\xd4M\\x8b\\x11\\xe3,\\x98\\xe38\\xa6i2\\xc6\\x88\\t\\x00\\x80\\x942\\x08\\x82D\"\\x11m\\xcb\\xda\\xe0\\xba\\xae\\x942\\x95JAk\\xfb\\x14ns\\x8c\\x18\\x03\\x02n\\x9a\\xa6\\xe38\\x00@Li~~\\x1e\\x11\\x07\\x8d\\x9c\\x00\\xc04\\xcdT*\\xe5\\xfb~\\xb5ZM\\xa7\\xd3\\xf5z=\\xd6I\\xc4\\x18@p)e2\\x99\\xcc\\xe5rDW\\x97]v\\x99\\xa6i\\x96eE\\xdd\\xb0vP\\xf3\\xa4\\x94\\xc3\\xc3\\xc3tG\\x08Q\\xadV#mT\\x8c\\x18\\xed`\\x88\\xe88N&\\x93\\t\\x82@J\\x89\\x88\\xbe\\xef\\xd3ve\\x00A:I\\xfa\\x1fK}1\\x06\\x10L\\x08\\xc19\\xa7\\xd9I\\xbai\\xa5\\xa1\\x1e(\\x906\\x82s\\xee\\xfb\\xbea\\x18RJM\\xd3b\\x8a\\x8a1h\\x188\\xca\\x89\\x11\\xe3C\\x8d\\x98\\xa2b\\xc4XO\\xc4\\x14\\x15#\\xc6z\"\\xa6\\xa8\\x181\\xd6\\x131E\\xc5\\x88\\xb1\\x9e\\x88)*F\\x8c\\xf5DLQ1b\\xac\\'b\\x8a\\x8a\\x11c=\\x11ST\\x8c\\x18\\xeb\\x89\\x98\\xa2b\\xc4XO\\xc4\\x14\\x15#\\xc6z\"\\xa6\\xa8\\x181\\xd6\\x131E\\xc5\\x88\\xb1\\x9e\\x88)*F\\x8c\\xf5DLQ1b\\xac\\'8\\xe7\\xbcT*Q`,\\x85E\\xd9\\xb6M\\xdf\\xa9\\x0b!\\x04]4\\x9bM\\xd9\\x01h%*\\xf2}_\\x95\\x14BP\\x98=}\\xd5\\xf9\\xabz\\xbd\\x1e~8\\xdd\\x1c\\xb4t1\\xdd\\xa1r\\xb0\\xf9\\xbeO}\\xd5\\x9f\\x98\\xe2r\\xb9\\xac\\xea\\xf5<\\x0f\\x00Tg\\xc6\\xe85\\xa4\\x94\\xae\\xeb\\xd2\\xb5\\xba\\x08g\\xe3\\xe3\\xbe\\xef\\x8f\\x8d\\x8d\\xd5j5M\\xd3\\x18c\\x0f>\\xf8 e\\x17\\xda\\xb3g\\xcf\\xe4\\xe4$clhh\\xe8\\x89\\'\\x9e\\xf0}\\x7fqq\\xf1\\xe7?\\xffy.\\x97\\xd34-\\x9b\\xcd\\x1e8p\\x80s\\xce9\\xff\\xc9O~B1\\x8b\\xf9|~\\xdf\\xbe}\\xf4\\xdc}\\xfb\\xf6\\xe5\\xf3y\\xc6\\x98*\\xc09?p\\xe0@6\\x9b\\xd54-\\x97\\xcb=\\xfd\\xf4\\xd3\\xc5b\\xb1\\\\.+\\x9aT\\xf97?,P\\xab\\x86a\\x18\\xe9t\\xdaq\\x9c\\xed\\xdb\\xb7\\xb3\\xdecbb\"\\x99L\\xd2\\xd0\\\\w\\xdduB\\x88L&\\x13ug|T\\xc09\\xa7(r\\x000M\\xd3\\xf7}\\xdf\\xf7\\xc3\\x11\\xba\\x8c\\xb25|\\xfc\\xe3\\x1f\\xafV\\xab\\xf4\\x85\\xef\\xfb\\x94YR\\xa5q\\xb5m\\xdb4MM\\xd3\\x88@M\\xd3T\\xf9(\\x15_2MS\\x85\\xd9B(\\xe4\\x96\\xea\\xd64\\xcd0\\x0c\\xf5\\x95\\xeb\\xba\\x8f<\\xf2\\xc8c\\x8f=\\xa6\\xda\\xe1\\xba.\\xe7\\xbc\\x0bE\\r`\\x0c\\xaf\\xea\\x9fz\\xbd\\x9e\\xc9d|\\xdfW\\x9d\\xd0\\x9fz\\x85\\x10\\x94b-\\x9dN\\x0f`\\xd8\\xf5%\\x89\\x85\\x85\\x85\\r\\x1b6\\xa8\\x8c\\xb1\\xbe\\xef\\xbb\\xae\\x1b^\\xd1\\x96\\x83\\xe15Ms\\x1c\\xc7q\\x9c\\\\.G\\x02\\x98\\xae\\xeb\\xcdfS\\x11\\x0f\\xcd\\xe3\\xf0\\xa3\\x85\\x10RJ\\xc30\\x10\\x911\\xd6Y@\\xfdJ\\x15\\xe0\\x9c\\xab\\xe4\\xcf\\x8c\\xb1\\xa5\\xa5\\xa5D\"a\\x9a\\xa6\\xfa\\xa1\\xca\\xc8\\xd7\\x89\\x01\\xa4(hMn\\x12\\xba2\\x99L2\\x99T\\xa2r\\x8f@i\\x0b<\\xcfc\\x8c\\xe9\\xba\\xae\\xebz\\xe4\\x9d\\xf0\\x91\\xc2=\\xf7\\xdc3==M\\xac\\x82\\x16P!Dx\\xe63\\xca\\xce\\xb7i\\xd3\\xa6w\\xdf}\\x97sNY\\x9a\\x85\\x10\\x88\\xa8\\xeb\\xba\\x94\\x92\\xf2\"QrLz\\x8a\\x10\\x82f\\x92Z)\\x83 \\x0eH\\x17TR\\xd7u\\xc30\\xe8B\\x95T?\\x1c\\x1a\\x1aj4\\x1aT\\xd2\\xf7\\xfds\\xca-\\x83IQ\\xc4\\x9d\\xa0\\xd53}H&\\x13^\\x1d\\r\\xc3H&\\x93\\x8e
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>In the figure, after cutting out a square piece of paper with a side length of m from a square piece of paper with a side length of (m+3), the remaining part can be cut and assembled into a rectangle (without overlapping and without gaps). If one side of the assembled rectangle is 3, then the perimeter of this rectangle is ______."
}
]
|
4m+12
|
[]
|
8
|
deepvision-math-77k-0-7
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00\\xc9\\x00\\x00\\x00\\x86\\x08\\x02\\x00\\x00\\x00\\xf8\\xaa9\\xeb\\x00\\x00\\x0f\\xf3IDATx\\x9c\\xed\\x9dqP\\x13\\xd7\\xbe\\xc7O\\xf4NU\\xda]\\xbc}H\\x87\\x11y\\rt\\xafO\\x94\\x0e\\xd1B\\x99\\xe9(\\xf1\"\\x16\\xb4J\\x038\"54(\\xe5\\x19\\x10FM\\x1e\\x84\\xe9\\xe8(\\x9dyj\\x9b\\xdb[\\xaa\\xc8M\\xb0&Z\\x98B\\r`\\xda\\xa2\\x82\\t\\x8a\\x9d\\xa9\\x85Q\\x10j,\\x08\\xea%\\x81\\xce\\xc8\\x14\\n)0\\xc9\\x1ba\\xdf\\x1f+\\x88\\x92\\x90\\x04\\xb39\\x9b\\xe4|\\xfe\\n\\xbb\\'g\\xbf3\\xf9\\xf2\\xfb\\x9e\\xb3\\xbbg\\x97E\\x92$@\\xc0\\xc1\\x90\\x88\\xaf\\xd2\\x00\\xb2\\xa6\\xa6\\x86\\xc7;\\xa93\\xd6,\\x83-\\xc8\\xb9\\xcc\\x83-\\xc0[1hq|e\\xf6\\x9da\\xa3\\xd1x\\xe5\\x14oCv\\xbc\\x87\\x19\\x0b\\x00\\xf0\\x17\\xd8\\x02\\xbc\\x94\\x82\\xfd<\\xe9\\x85;1A\\x00\\x00\\x10L\\xc4\\x02v\\x08lE\\xce\\x07\\xd5-\\x08\\xe8\\x1b\\xe4\\x9d\\x844\\xf3\\xefA\\xd4\\x9f\\x0f\\xba\\xae\\xc4\\xc6\\xc5\\xc0\\x95D\\x07\\xc8[\\x10\\xb8\\\\\\x7f9.6\\x8e\\xfa\\xac-\\x95\\x9c\\x02\\xc2\\x98 \\xb8\\x8ah\\x01\\x9e\\xb7\\x0cZ\\x1c\\xc7q\\x1c\\x97\\xc8\\xb5\\xd04\\xc0F[*\\xe1\\x89Ne\\xbf\\xbb\\x11\\xb6\\x10Z\\x80\\xe3-}\\x83\\x1c_U\\xac3\\x1a\\x8d\\xba\\x9a{\\x0f\\x1eB\\xd1\\x00\\x91M\\x1b\\xe3\\xc4\\xef\\xbf\\x89\\xe3\\xf8\\x15\\xf2]i\\xd6\\x86b1\\xcf#\\xff\\xc1X0\\xceA\\x18x\\xf8\\xca\\xbdw\\x8c\\x1e\\x19\\x04\\x88) \\xd4-}\\xc3%V\\xb6\\x14\\x19\\xcb\\xe3\\x81\\xe0\\xad\\xae\\xfb\\x0f\\xfe\\xe6\\x89Sn\\xc4s\\xc0\\x19oM\\x8e\\xb1\\x0c<\\x9cg\\x80\\xa2\\x80\\xa9LLL\\xd4\\xd5\\xd5\\xc1V\\xe1\\x1c\\xe0\\x8c\\xb7\\x12\\xf1\\x95\\x1a\\x00\\x00X\\x7f\\xd7\\xa8\\x0e\\x9c\\xb6\\xc3l6/X\\xb0\\xc0\\xe5z\\x18A}}\\xfd\\xf9\\xf3\\xe7U*\\xd5\\xfa\\xf5\\xeb\\xab\\xab\\xaba\\xcbq\\x02P\\xbce\\x99\\xf6\\xf6v\\x81@\\xd0\\xd2\\xd2\\x02[\\x88K\\xe9\\xec\\xec<}\\xfatUU\\x95\\x9f\\x9f_FF\\xc6\\xf6\\xed\\xdb}}}a\\x8br\\x0e\\x0c\\xf2\\x16\\x00 ++\\xcb\\xcf\\xcf\\xaf\\xb0\\xb0\\x10\\xb6\\x10\\xday\\xf4\\xe8\\xd1\\xb7\\xdf~\\xabP(FFF\\x92\\x92\\x92\\x84BaP\\x90\\xc7\\xcdnH&a2\\x99\\x08\\x82\\xb8}\\xfb6l!ta2\\x99\\xca\\xcb\\xcb\\xa3\\xa3\\xa3\\x03\\x02\\x02\\x84Bacc#lE4\\xc2,o\\x91$\\xa9\\xd1h8\\x1c\\x0el\\x15\\xce\\xa7\\xb6\\xb66==\\x1d\\xc3\\xb0\\x1d;v\\xa8\\xd5j\\xd8r\\\\\\x01\\xb32\\x91\\xc2\\x93\\x92\\xb1\\xbd\\xbd]\\xa9T\\x9e?\\x7f>00P(\\x14&\\'\\'\\xfb\\xf8\\xf8\\xc0\\x16\\xe5\"\\x98\\xe8-\\xb3\\xd9\\x1c\\x16\\x16\\xa6R\\xa9\\xde|\\xf3M\\xd8Z\\xe6H\\x7f\\x7f\\xbfR\\xa9\\xfc\\xfa\\xeb\\xaf\\xc7\\xc7\\xc7SRRv\\xef\\xde\\xbdt\\xe9R\\xd8\\xa2\\\\\\x0e\\xec\\xc2i\\x19\\x8dF\\x13\\x1e\\x1e\\x0e[\\x85\\xc3\\x98\\xcd\\xe6\\xf2\\xf2r.\\x97\\x1b\\x10\\x10\\x90\\x93\\x93\\xd3\\xd4\\xd4\\x04[\\x11L\\x98X\\xb7(\\xdc+\\x19/^\\xbc\\xa8R\\xa9T*\\xd5{\\xef\\xbd\\x97\\x92\\x92\\xb2u\\xebV\\xd8\\x8a\\x18\\x00ls[\\xc5l6\\x13\\x04\\xa1\\xd3\\xe9`\\x0b\\x99\\x8d\\xa6\\xa6\\xa6\\xdc\\xdc\\xdc\\x80\\x80\\x80\\xb7\\xdf~\\xfb\\xec\\xd9\\xb3\\xa3\\xa3\\xa3\\xb0\\x151\\x08\\xe6\\xde\\xd3\\xfc\\xd2K/\\x9d<yR \\x10477\\xc3\\xd6\\xf2<}}}_}\\xf5UEE\\xc5\\xfc\\xf9\\xf3\\xf9|\\xfe\\xed\\xdb\\xb7\\xfd\\xfd\\xfda\\x8bb\\x1c\\xcc\\xcdD\\x8a]\\xbbv\\xbd\\xfe\\xfa\\xeb\\x87\\x0e\\x1d\\x82-\\x04\\x00\\x00\\xc6\\xc6\\xc6T*UIIIoo\\xef\\xb6m\\xdb\\x04\\x02\\x81\\xfb\\xce6\\\\\\x01\\xec\\xc2i\\x03\\xeal*\\xf4dT\\xab\\xd5;v\\xec\\xc00,==\\xbd\\xb6\\xb6\\x16\\xae\\x18w\\x81\\xe9\\xde\"I\\xb2\\xae\\xae.\"\"\\x02\\xca\\xa1\\x9b\\x9a\\x9arrr\\x02\\x02\\x02\\xb8\\\\nyy\\xb9\\xc9d\\x82\"\\xc3Maz&R\\xb88\\x19\\x9f\\x1bN\\t\\x04\\x024\\x9c\\x9a\\x03\\xee\\xe1-\\xeal\\xea\\x85\\x0b\\x17BCC\\xe9;\\xca\\xf0\\xf0pee\\xa5B\\xa1@\\xc3)\\xe7\\x00\\xbbp\\xda\\x0b\\xad\\xc9XUU\\xc5\\xe3\\xf1\\x16/^\\x9c\\x91\\x91QWWG\\xd3Q\\xbc\\rfxK\\xaf\\xc10L\\xd3c\\xa3\\x15\\x9f\\xcf\\xff\\xf8\\xe3\\x8f\\x9dx\\xd8\\xc6\\xc6F\\xa1P\\xe8\\xe7\\xe7\\xb7i\\xd3\\xa6\\x8a\\x8a\\x8a\\xf1\\xf1q\\'v\\x8e\\x80\\xef\\xad\\x1e\\xad\\x0c\\xc30{\\xbcUUU\\x85\\xe3\\xf8\\x8d\\x1b7^\\xf4\\x88==\\x12\\x89\\x84 \\x08\\x0e\\x87STT400\\xf0\\x82\\x1d\",\\x02\\xdf[$I\\x92\\xa4\\x9eg\\xcb[UUU+V\\xac8q\\xe2DTT\\
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>In the figure, given that lines a and b are intersected by line c, what is the corresponding angle to \u22201?"
}
]
|
∠2
|
[
"angle 2",
"the angle labeled 2"
]
|
9
|
deepvision-math-77k-0-8
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00\\xf9\\x00\\x00\\x00\\xb4\\x08\\x02\\x00\\x00\\x00\\xd9\\xeb\\x1du\\x00\\x00\\x19;IDATx\\x9c\\xed\\x9d\\x7fL\\x1b\\xe7\\xfd\\xc7?\\x8fIF\\xfa-\\x13\\xdd\\x82\\xd6V\\xa2#\\xc4\\xceJ\\x97D\\x10\\x8d\\xa9\\xf4\\xdbte\\x8d\\xed\\x90\\x11\\x1b\\xda&\\n\\x11h#j\\x03\\xf9\\xae\\xa9\\xd64\\xd8&\\n\\x1bTc\\x0b$i\\x93\\xa9t\\xd8\\x86}!Z\\xa6\\xd25i\\x12~$\\xe0\\x834QA%Z:\\xa8B[R\\x9fI\\xd3\\x115\\xd1\\x97)CC*L\\xf5}\\xbe\\x7f\\x9c}\\x1c\\xfe\\x018\\xd8>\\x9f\\xefy\\xfd\\x01\\xe7\\xe7\\xce\\xcf\\xf3\\xb1\\xfd\\xbe\\xcf}\\x9e\\xcf\\xf3\\xdcs\\x801\\x08\\x87\\xc8\\x05\\xdf\\x85\\xe8\\xb0W8\\xd8{\\xae\\xdbi25rl\\x0f\\xf0\\x10\\xb09\\x9c\\xc2^\\x93\\xc9t\\x8f\\xf5Rb\\x1e\\x15\\xc4\\x00\\xbc)\\xb3\\xaf\\t\\x00\\tr(\\x81F\\xb3\\x81A\\x9dN\\x1dB\\xe5\\xe2\\x97}\\xf6\\xbe\\xb2\\xc3eD\\xad\\xe7\\xd8\\x1e\\x00\\x03\\xcbqe:\\x8dw\\'W\\xa6[m\\xebe\\x01\\x00\\xfd\\xea\\xa1\\xc8\\x1d\\x89\\xb5\\xce\\x0b\\x91\\x10BH0u\\x03\\x02\\'lY\\xcd\\x85*\\xfd\\xb1\\xc3e\\xfa\\x05\\xaa\\x15m\\x8bk\\xe6\\xc0\\xe9\\x82U\\x1aP\\x01\\x80kl\\xcch\\xde\\xaa\\x06\":Z\\xa5\\xd6\\xe9\\xd9\\x1e\\x86\\xb7,\\xd4\\xcfB\\x89q$\\xd6z@\\x89\\x9b\\x0b\\x08!\\xc4\\xd2\\xc4\\x00\\x00\\x02kT%\\xf4\\xba\\x00\\x00\\x98\\xe6\\x8a\\x0b\\xe4g\\xe5Z\\r\\xdb\\xfbGBH\\x81\\xc5\\x8e\\xc0\\x16\\x12R`\\xb1\\x03\\x80\\xd5b$\\xa4\\x90\\xe5O\\x0c\\x97\\x83\\xcc\\xc1\\xe8B\\x0e\\x00\\x9a,M\\x9b\\xcat|+\\xbdL\\xf7\\xcft\\xcf\\x00\\xcc^C\\x10\\x91\\x007\\xfa\\xf9\\r@ A\\xaf,\\x14\\xd9\"a\\xfc\\x84\\x88_\\x7f\\xfd\\xb5O\\t\\x1f\\xa83\\xb6\\n\\xa3\\xd9\\x86\\x88\\x1c\\xc71M&\\x07\\x8b\\x1c:\\x8d\\x00\\xde0\\xdd}\\x9di4\\xd9\\x18\\x93\\xc1\\xe0`l`49\\xec\\x15V\\xc6i2\\x82\\x83E>8\\xb9\\x8enD\\xe4\\xd8\\x1e0zBp\\x8e\\xed1\\xd9z\\xf8:9t\\x1a\\xc8V\\x96s#\\xba\\xe7\\xb6\\xee2\\x90\\xad\\xce\\xb9\\x85\\x94\\xf8@b\\xbf~\\xe0\\xc0\\x01\\x9f\\x12\\xde\\x9d\\xaeZ\\x9d\\xde>\\xca\\x02\\x00!d\\x8c\\xd3h\\xd5\\xd0\\xdbdk7\\x9a\\xbca\\xba\\xea\"s\\x1eX\\x87\\xf6\\x8dsd\\xcci\\xc0Q\\x06ue\\xe9\\xec\\x91v\\x00\\x00\\xd7\\xd8\\x17F\\xb3\\xe1\\x07\\xa0\\x02\\x04\\xbb\\xad\\xc1\\x98\\xe1\\t\\xc7\\xed\\xf6\\x8beeZ\\xbeN\\x17\\xd3KL\\x065Q\\xf1W\\xb6\\xd9x\\xc5\\xc5v \\xa1N=.\\x91R\\xeb7n\\xdc8~\\xfc\\xf8\\xdd\\xbbw\\xfdw\\xa9\\xd3=\\x02E\\xb6\\x97[\\xfd\\x0c\\x01`:\\x8f\\x9a\\xf2\\xb5\\x9eB`/\\x1c\\xee@\\xf5&\\xbd\\x868\\xba\\x8ev\\x90\\x8c\\xc3ez\\xd7\\xd8\\x17`4\\xe9\\xd4\\x9cFW\\xf6\\xe8h\\x19!\\x84\\xa8\\xc8y\\xb2\\xf5\\\\}\\x19\\x00\\x87.\\x87K\\xfd\\x8c\\x06T\\xbc\\xaco|\\xe1\\xca\\xd0\\xa4{jC$^\\xb1\\xbb\\xc6\\xc6\\xc0\\x98\\xa1\\x06\\x04\\xbfN-E\\xeeH\\xa9\\xf5\\xd6\\xd6V\\x00\\xe8\\xe9\\xf1\\xa4\\xff|\\xb5\\xd5\\xfe9\\x0b\\x9c\\xc5\\xee\\xd8\\xa3\\xd5\\x00\\x00!\\xa0\\xdb\\xe4\\xe9\\x92\\xba\\x98\\xdev\\xa3\\xe9H\\xf9f\\x04\\xf6z;8\\xde8\\x8c\\xc01L\\x97)_\\xcb\\x7f\\xa2\\xf4G\\xb7:XD\\x0e\\xcf\\xd5\\x97\\x01\\x00\\x80\\xcan\\xef\\xf58u\\x00\\x00`:_\\xd7>\\xa3\\xe3\\xdb#\\x84\\xd8\\x9a\\xed\\x00\\x1c\\x00\\xf4\\xf5]\\x10*\\x99\\xa7\\xbbL\\x91#Rj\\xfd\\xaf\\x7f\\xfd+\\x00\\xf4\\xf0y\\x0f\\xaf\\xb6D\\x8a\\xe7\\xfa\\x9a*u\\xe5\\x87\\x01\\x00a\\xec\\xb3\\xf6\\xad\\xe9jOB\\xe6\\xc6\\x17.\\xde\\xc7\\xbb\\x98^0\\xdbtj@pu\\x1f\\xe9\\xe4O\\x06t9~y\\xa4\\x13\\x00\\xd0\\x1b\\x9b\\xa0\\xcb1\\xa6\\xd6\\xf2\\xe9\\x17Dd\\x19\\xeb\\x11\\xb2_\\xab\\xf6\\xea\\xbe\\xc94\\x86\\xab\\x00T\\x1c\\xba\\xce\\xd7\\xb7\\x0bg\\x14%\\xde\\x90\\xaa\\xa3\\xf0\\xe1\\x87\\x1f\\xf2\\x06|\\xff\\xfb\\xdf\\x17\\x15\\xbb\\x11\\xd1\\x8d\\x1c\\xdf\\x13\\xe5\\xbb\\x92<\\x15F\\x83\\xd0e\\xac0x:\\xa9\\x8df\\x83\\x95qr\\x1c\\xe7\\x1d\\x1b28\\xd1\\xedt4Z\\x1d=F\\xde\\x85\\x1bM8w\\x84\\xa8\\xd1l\\xf0\\xff\\x12\\xac\\x8c\\x13\\x11\\x1d\\xf6\\nq\\x8b\\xc1\\x86\\xb3(2E2\\xad\\x97\\x97\\x97\\x83\\xd7\\x97\\x7f\\xf6\\xd9\\'>{9t:\\x98\\xcf\\xc5%\\x8c\\xcd\\xca\\xce+?~\\x9f\\xc3\\xeeI\\xe0\\xf08\\x1d\\x8dFK\\xe3\\xdc\\x03\\xdd\\x88\\xc8q\\x9c_\\x06\\xc6\\xb9\\xd5H\\x07M\\xe3\\x19ib\\x98\\xe9\\xe9\\xe9s\\xe7\\xce\\x00\\xc0\\x7f%\\xdd\\x0f\\x00\\x17.xCv`\\x0b\\x8cftu\\xab\\xc8\\xab\\xe9Z
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>The concentration of CO in a mine increases linearly from 4 mg/L at x=0 to 46 mg/L at x=7, then decreases inversely proportional to time. Miners can return when the concentration drops to 4 mg/L or below. How many hours after the explosion (at x=7) can they go underground at the earliest?"
}
]
|
73.5
|
[
"147/2"
]
|
10
|
deepvision-math-77k-0-9
|
[
{
"bytes": "b'\\x89PNG\\r\\n\\x1a\\n\\x00\\x00\\x00\\rIHDR\\x00\\x00\\x00\\xbd\\x00\\x00\\x00y\\x08\\x02\\x00\\x00\\x00\\xe3\\xcc\\xb7\\xc5\\x00\\x00\"\\x89IDATx\\x9c\\xed]\\xd9r\\xdbV\\xb6\\xdd\\x00\\x01\\x12\\x04\\x07q\\x94\\x1c\\x0fI\\x9cTu\\xecJ\\xba\\xba_\\xfb\\x03:\\x95\\xb7\\xfb\\r\\xf7V\\xf2\\x03\\xce\\xcb\\xfd\\x89\\x9b\\x1fP\\xea\\xfe\\xc3}K\\xd9\\x1f\\x90\\xa7\\xae\\xea\\xaa\\x96\\xab\\xbb\\xba\\xdd\\x8e\\x07\\r\\x148\\x80\\x98g\\xec\\xfb\\xb0\\xc4#J\\xa2f\\x0e\\xb2\\xac\\xf5\\xe0\\xa2L\\x1088\\xd88g\\x0fk\\xef-13\\xdd\\xe1\\x0e\\x97\\x84\\xbc\\xea\\x01,\\x03a\\x18\\xaez\\x08\\x97\\x06\\xc6\\x1c\\xc7\\xf1\\xaa\\x072\\x1b\\xb7_n\\xc20\\xd44\\xcd\\xb2\\xacU\\x0f\\xe4r\\xd04-\\xcb\\xb2<\\xcfW=\\x90\\xd9\\x90n\\xfd>\\x05\\xb9Y\\xf5(.\\x8d4M\\x15EY\\xf5(N\\xc5\\xed_oN\\n\\xcd\\xcb\\x9f\\xa5\\xa3\\xf8\\xf9\\xe5JFv&n\\xb2\\xd0\\xd0\\xdc\\xe5\\xc6\\xb2\\xac8\\x8e\\x99\\x19\\x1bs\\x9e\\xe7b\\x83\\xd8\\xdf\\xdf\\'\\xa24M\\x83 \\xc0WI\\x92\\x10Q\\x92$\\xcc\\x9c\\xa6)~8\\x18\\x0c\\xd24M\\xd3t0\\x18\\xe0<i\\x9a2\\xb38\\x18Kw\\x10\\x04i\\x9a\\x8a\\xd3\\xe2+\"\\xda\\xd9\\xd9\\x99\\xfes\\xe6j\\xfa\\xf5\\xf7l<\\x7fF\\xcf\\x9e\\x1b\\xcc\\xcc\\xc6\\xf3g?|\\xf3\\xe3\\x8b\\xfe|\\'\\xe2\\xb6c\\xcer\\xb3\\xb6\\xb6V,\\x16\\xc30L\\xd34\\x8a\"Y\\x96\\xd7\\xd6\\xd6\\xe28\\xb6m{cc#MS\\xcf\\xf3\\xf2<O\\xd3T\\x96eHC\\xa1P\\xc0\\x9a\\x1c\\x04\\x81$I\\x9dN\\x07r\\xd3\\xe9t$I\\n\\x82@Q\\x944M\\x0b\\x85\\x02$L\\x96\\xe54M\\xf3<\\xf7</M\\xd3\\x8d\\x8d\\r\\xdb\\xb6\\x99YUU\\xdf\\xf7\\x1f<x\\x90$\\x89i\\x9aD\\x14\\x86\\xe1)ze\\xff\\xaf\\xbf\\xfc\\xb4\\xf9_\\x7f\\xee\\x12\\x11u\\xef?\\x9d\\xef\\x1c|\\x1c\\xe0y#\\x8a\\xa2 \\x08\\x989\\xcf\\xf3~\\xbf\\x1f\\xc7\\xb1a\\x18q\\x1c\\xe3)\\xe2\\x18\\xdf\\xf7\\xf1y8\\x1c2\\xf3\\xf6\\xf6v\\x9e\\xe7\\xcc<\\x1a\\x8d,\\xcbJ\\x92$I\\x12\\xcb\\xb2F\\xa3\\x11\\xce\\xb3\\xbd\\xbd-\\x0e\\x8e\\xe3\\xd8\\xf7}\\x9cG\\x9c\\x16G2\\xf3x<\\xc6\\xa9,\\xcbbf\\xcf\\xf3f\\x0c\\xd1x\\xfe\\x8c6\\xb7\\xf0yk\\x93H\\xfcq\\x87\\x8bb\\xfer\\x13\\x86a\\x10\\x04y\\x9eO?`f\\x1e\\x8f\\xc7x\\x8ao\\xdf\\xbee\\xe6\\xd1h4\\x1e\\x8fy\"\\r\\x10\\x14\\x08\\\\\\x14EQ\\x141s\\x10\\x04\\x10#q\\xd8x<\\x86\\x88\\xe0$\\x9e\\xe7\\xe1$\\xb8\\xae\\xe38\\xcc\\xfc\\xfe\\xfd{\\xfcd\\xfa\\xeaG\\xb0\\xb5y\\xf8\\xde\\xdc\\x89\\xcc\\x950g\\xb9\\xc1\\xf3f\\xe6^\\xaf\\x87\\xcf\\xa6i\\xfa\\xbe/\\xde{<\\xcb\\xe9e\\xc0u]f\\xd6u]\\xd34Y>\\xb2o\\xca\\xb2\\xaci\\x9a\\xae\\xeb\\xe20\\x00?\\x17b\\xe1y\\x1e\\x16\\xce\\xf1x\\x8c\\x8b\\xfe\\xfb\\xdf\\xff\\xc6WB\\xaa\\xa6\\xb1\\xb59\\xd1m\\xeeV\\x9b\\xabb\\xcer\\x13\\x86!\\xde\\xf5,\\xcb\\xf0\\xa7a\\x18\\xcc,t[<\\xf2b\\xb1HD\\x92$\\x11Q\\xadV#\"h\\xc1\\x10\\x85\\xe1p\\x88\\xd5\\x05\\x7f\\x0e\\x06\\x03q\\x18~R,\\x16\\x99\\xd9\\xf3<\\xa1S3\\xb3,\\xcbX\\xe4p\\xaa\\xdd\\xdd]lX\\'0%6\\xd8\\xb2\\xee\\x04\\xe7\\xf2\\x98\\xb3^\\\\*\\x95\\x88\\xa8\\xdf\\xefC{M\\x92\\xa4\\xdb\\xed\\x0e\\x06\\x03<TUU\\xab\\xd5\\xaa$IX\\x15\\xf0\\\\\\xdf\\xbf\\x7f\\xcf\\xcc\\x85B\\x81\\x88\\xc20\\xdc\\xde\\xden\\xb5Z\\xadVk{{\\x1b>\\xd3B\\xa1 \\x0e\\xc3O\\xa2(\\x92$\\xa9Z\\xad\\xaa\\xaa\\x9a\\xe79V\\xa9\\xf1x,\\xcbr\\xb3\\xd9l\\xb7\\xdbq\\x1c\\xeb\\xba\\x0e!;\\x8e\\x97\\xbf\\xfe\\xf0\\xec\\xbb?v\\x0f\\xfe2\\xde\\xfe4\\xdf\\x19\\xf8X0_1\\xc4\\xbe\\xd0\\xeb\\xf5\\x98\\x19\\xa6\\xf2p8\\x84\\xac\\x14\\x8b\\xc5,\\xcb\\xb0\\x84\\xe0\\x80\\xf1x\\xec\\xban\\x96ea\\x18fY\\x86\\xdf\\xe6y>\\x1e\\x8f\\x85z;\\x1e\\x8f\\xc5\\x01\\xae\\xebN\\x9f\\xdf\\xf7\\xfd,\\xcb\\x8a\\xc5\\xa2$I\\xb2,\\x8buN\\xdc\\x14L\\xfa\\xa3\\x03\\x9c2\\xc0\\'z\\xce\\xe1\\xe2s\\x87\\x0b\\xe3\\x8ar\\x03\\r\\x94\\x99a\\xe9\\x08\\xfb\\x08Z\\x08\\xd4[f\\x86\\xf3j\\x0e\\xc3\\xbc\\x00\\xc4k\\x80U*\\x0c\\xc3\\xe3GL\\xab\\xc3\\x13\\xdcmQW\\xc3\\xd5\\xe3\\x0c\\xbd^\\xaf\\xd9lbc\\xb2m\\xbb^\\xaf\\xf7\\xfb\\xfdn\\xb7\\x1b\\x04A\\xb9\\\\V\\x14%\\xcb2\\x08S\\xa1P\\xc06\\xb48\\x0c\\x06\\x83N\\xa7C\\x13\\x05\\x88\\x99\\xdb\\xed6,\\xaf\\x85^\\xf7\\xa3\\xc5\\x15\\xf5\\x9b<\\xcf\\xef\\xdd\\xbb\\x87U\\xc7\\xf7\\xfdJ\\xa5BD\\x8dF#MS]\\xd7u]\\xb7m\\xdb4M\\xdb\\xb6\\xb1=\\xcdu\\xcc3\\x00\\xa1\\x81F\\x9c$\\x89$I
|
[
{
"role": "system",
"content": "You are a multimodal reasoning assistant. You receive images and texts, perform step-by-step reasoning (including re-checking the image) before producing the final answer. Please provide a clear, concise answer inside \\boxed{} tag. For multiple choice questions, put only the letter like \\boxed{A} without any additional text. For fill-in-the-blank and problem-solving questions, put only the final answer."
},
{
"role": "user",
"content": "<image>In the figure, AB is the diameter of circle O, BC is tangent to circle O, OD is parallel to AC, and OD and AC intersect circle O at points F and E, respectively. Given that OF = AE and OA = 1, find the length of EC."
}
]
|
3
|
[]
|