images images listlengths 1 1 | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|
hiyouga/geometry3k | [
{
"content": "<image>Find x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "3",
"style": "rule-based"
} | {
"index": 0,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If $\\overline{B E} \\cong \\overline{E D}$ and $m \\widehat{E D}=120,$ find $m \\widehat{B E}$",
"role": "user"
}
] | Geometry | {
"ground_truth": "120",
"style": "rule-based"
} | {
"index": 1,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "2 \\sqrt { 221 }",
"style": "rule-based"
} | {
"index": 2,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$ so that $m || n$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "27",
"style": "rule-based"
} | {
"index": 3,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>GRID IN In the figure, the radius of circle $A$ is twice the radius of circle $B$ and four times the radius of circle $C .$ If the sum of the circumferences of the three circles is $42 \\pi,$ find the measure of $\\overline{A C}$",
"role": "user"
}
] | Geometry | {
"ground_truth": "27",
"style": "rule-based"
} | {
"index": 4,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $m \\angle 2$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "34",
"style": "rule-based"
} | {
"index": 5,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the area of a regular hexagon with a perimeter of 72 feet.",
"role": "user"
}
] | Geometry | {
"ground_truth": "374.1",
"style": "rule-based"
} | {
"index": 6,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.",
"role": "user"
}
] | Geometry | {
"ground_truth": "420",
"style": "rule-based"
} | {
"index": 7,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the area of the shaded region. Round to the nearest tenth if necessary.",
"role": "user"
}
] | Geometry | {
"ground_truth": "108.5",
"style": "rule-based"
} | {
"index": 8,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>The triangle is inscribed into the circle. Find the exact circumference of the circle.",
"role": "user"
}
] | Geometry | {
"ground_truth": "12 \\pi",
"style": "rule-based"
} | {
"index": 9,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x",
"role": "user"
}
] | Geometry | {
"ground_truth": "4",
"style": "rule-based"
} | {
"index": 10,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the area of the shaded sector. Round to the nearest tenth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "311.5",
"style": "rule-based"
} | {
"index": 11,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$ in the figure.",
"role": "user"
}
] | Geometry | {
"ground_truth": "16",
"style": "rule-based"
} | {
"index": 12,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "35",
"style": "rule-based"
} | {
"index": 13,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>In the figure, square $WXYZ$ is inscribed in $\\odot R$. Find the measure of a central angle.",
"role": "user"
}
] | Geometry | {
"ground_truth": "90",
"style": "rule-based"
} | {
"index": 14,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find y.",
"role": "user"
}
] | Geometry | {
"ground_truth": "45",
"style": "rule-based"
} | {
"index": 15,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $\\angle D$ of quadrilateral ABCD",
"role": "user"
}
] | Geometry | {
"ground_truth": "45",
"style": "rule-based"
} | {
"index": 16,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "70",
"style": "rule-based"
} | {
"index": 17,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>The diagonals of rhombus FGHJ intersect at K. \r\nIf $m\\angle FJH = 82$, find $m\\angle KHJ$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "49",
"style": "rule-based"
} | {
"index": 18,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $y$ in the given parallelogram",
"role": "user"
}
] | Geometry | {
"ground_truth": "15",
"style": "rule-based"
} | {
"index": 19,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $HK$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "10",
"style": "rule-based"
} | {
"index": 20,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>$\\triangle RST \\cong \\triangle XYZ$. Find $y$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "15",
"style": "rule-based"
} | {
"index": 21,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x. Round to the nearest tenth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "24.7",
"style": "rule-based"
} | {
"index": 22,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find DX if $E X=24$ and $D E=7$",
"role": "user"
}
] | Geometry | {
"ground_truth": "25",
"style": "rule-based"
} | {
"index": 23,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $TR$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "4",
"style": "rule-based"
} | {
"index": 24,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find z",
"role": "user"
}
] | Geometry | {
"ground_truth": "2 \\sqrt { 6 }",
"style": "rule-based"
} | {
"index": 25,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the measure of $\\angle 4$ if $m∠4= m∠5$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "32",
"style": "rule-based"
} | {
"index": 26,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.",
"role": "user"
}
] | Geometry | {
"ground_truth": "43.5",
"style": "rule-based"
} | {
"index": 27,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If $\\overline{QR} \\| \\overline{XY}, XQ=15, QZ=12$, and $YR=20$, what is the length of $\\overline{RZ}$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "16",
"style": "rule-based"
} | {
"index": 28,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "13.9",
"style": "rule-based"
} | {
"index": 29,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>In $\\odot P$, $PS=4$, find the length of $\\widehat {QR}$. Round to the nearest hundredth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "4.75",
"style": "rule-based"
} | {
"index": 30,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $y$ if $\\triangle JLM \\sim \\triangle QST$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "4",
"style": "rule-based"
} | {
"index": 31,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $MP$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "8",
"style": "rule-based"
} | {
"index": 32,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "24 \\sqrt { 2 }",
"style": "rule-based"
} | {
"index": 33,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>For the pair of similar figures, use the given areas to find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "10.4",
"style": "rule-based"
} | {
"index": 34,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the length of $\\widehat {ZY}$. Round to the nearest hundredth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "5.24",
"style": "rule-based"
} | {
"index": 35,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the value of x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "130",
"style": "rule-based"
} | {
"index": 36,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $m \\angle A B C$ if $m \\widehat{A B}=102$",
"role": "user"
}
] | Geometry | {
"ground_truth": "129",
"style": "rule-based"
} | {
"index": 37,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If $R T=15, Q P=21,$ and $P T=8,$ find $T S$",
"role": "user"
}
] | Geometry | {
"ground_truth": "20",
"style": "rule-based"
} | {
"index": 38,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>$\\triangle K L N$ and $\\triangle L M N$ are isosceles and $m \\angle J K N=130$. Find the measure of $\\angle LKN$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "81",
"style": "rule-based"
} | {
"index": 39,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x. Round the side measure to the nearest tenth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "34.8",
"style": "rule-based"
} | {
"index": 40,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find sinA",
"role": "user"
}
] | Geometry | {
"ground_truth": "\\sqrt { 26 } / 26",
"style": "rule-based"
} | {
"index": 41,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If XM = 4, XN = 6, and NZ = 9, find XY.",
"role": "user"
}
] | Geometry | {
"ground_truth": "10",
"style": "rule-based"
} | {
"index": 42,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear\r\nto be tangent are tangent.",
"role": "user"
}
] | Geometry | {
"ground_truth": "8",
"style": "rule-based"
} | {
"index": 43,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "\\frac { 26 } { 3 }",
"style": "rule-based"
} | {
"index": 44,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>In the figure, $m∠1 = 50$ and $m∠3 = 60$. Find the measure of $\\angle 2$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "110",
"style": "rule-based"
} | {
"index": 45,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the measure of $∠A$ to the nearest tenth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "16.7",
"style": "rule-based"
} | {
"index": 46,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "2 \\sqrt { 13 }",
"style": "rule-based"
} | {
"index": 47,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $ m ∠RSU $ so that $ m \\parallel n $.",
"role": "user"
}
] | Geometry | {
"ground_truth": "124",
"style": "rule-based"
} | {
"index": 48,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find tanB",
"role": "user"
}
] | Geometry | {
"ground_truth": "5",
"style": "rule-based"
} | {
"index": 49,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>$RP=3.5$ and $JP=9$. Find $PL$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "7",
"style": "rule-based"
} | {
"index": 50,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find SY",
"role": "user"
}
] | Geometry | {
"ground_truth": "4",
"style": "rule-based"
} | {
"index": 51,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "2 \\sqrt { 5 }",
"style": "rule-based"
} | {
"index": 52,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>The sum of the circumference of circles $H,J,K$ is $56 \\pi$ units. Find $KJ$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "24",
"style": "rule-based"
} | {
"index": 53,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Solve for x in the figure below.",
"role": "user"
}
] | Geometry | {
"ground_truth": "7",
"style": "rule-based"
} | {
"index": 54,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the measure of $\\angle 2$ if $m \\angle D G F=53$ and $m \\angle A G C=40$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "50",
"style": "rule-based"
} | {
"index": 55,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "4",
"style": "rule-based"
} | {
"index": 56,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $m \\angle D G E$",
"role": "user"
}
] | Geometry | {
"ground_truth": "30",
"style": "rule-based"
} | {
"index": 57,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Refer to the figure at the right. Find the value of $x$ if $ p \\parallel q $.",
"role": "user"
}
] | Geometry | {
"ground_truth": "45",
"style": "rule-based"
} | {
"index": 58,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the length of $WY$",
"role": "user"
}
] | Geometry | {
"ground_truth": "9",
"style": "rule-based"
} | {
"index": 59,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $m\\angle U$",
"role": "user"
}
] | Geometry | {
"ground_truth": "134",
"style": "rule-based"
} | {
"index": 60,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>$\\Delta DFG$ and $\\Delta F G H$ are isosceles, $m \\angle FDH=28$ and$\\overline{DG} \\cong \\overline{FG} \\cong \\overline{FH}$. Find the measure of $\\angle GFH$. ",
"role": "user"
}
] | Geometry | {
"ground_truth": "68",
"style": "rule-based"
} | {
"index": 61,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find y.",
"role": "user"
}
] | Geometry | {
"ground_truth": "1.5",
"style": "rule-based"
} | {
"index": 62,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If $\\overline{PR} \\| \\overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $MN$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "12",
"style": "rule-based"
} | {
"index": 63,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $NP$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "14",
"style": "rule-based"
} | {
"index": 64,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>In the figure, $ \\overline{JM} \\cong \\overline{PM}$ and $ \\overline{ML} \\cong \\overline{PL}$. If $m \\angle PLJ=34$, find $m \\angle JPM$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "36.5",
"style": "rule-based"
} | {
"index": 65,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "12",
"style": "rule-based"
} | {
"index": 66,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "135",
"style": "rule-based"
} | {
"index": 67,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If $\\overline{RQ} \\cong \\overline{RS}$ and $ m ∠RQS = 75 $, find $ m ∠R $.",
"role": "user"
}
] | Geometry | {
"ground_truth": "30",
"style": "rule-based"
} | {
"index": 68,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $y$ in the figure.",
"role": "user"
}
] | Geometry | {
"ground_truth": "40",
"style": "rule-based"
} | {
"index": 69,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x to the nearest tenth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "150",
"style": "rule-based"
} | {
"index": 70,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $h$ in each triangle.",
"role": "user"
}
] | Geometry | {
"ground_truth": "6 \\sqrt 3",
"style": "rule-based"
} | {
"index": 71,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "10",
"style": "rule-based"
} | {
"index": 72,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "18",
"style": "rule-based"
} | {
"index": 73,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "\\frac { 4 } { 9 } \\sqrt { 3 }",
"style": "rule-based"
} | {
"index": 74,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Trapezoid MNPQ has an area of 360 square feet. Find the length of $\\overline{MN}$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "14",
"style": "rule-based"
} | {
"index": 75,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x. Round side measures to the nearest tenth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "15.1",
"style": "rule-based"
} | {
"index": 76,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Each pair of polygons is similar. Find CD",
"role": "user"
}
] | Geometry | {
"ground_truth": "\\frac { 10 } { 3 }",
"style": "rule-based"
} | {
"index": 77,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the area of the shaded sector. Round to the nearest tenth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "7.4",
"style": "rule-based"
} | {
"index": 78,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If $\\frac{I J}{X J}=\\frac{HJ}{YJ}, m \\angle W X J=130$, and $m \\angle WZG=20,$ find $m \\angle JIH$",
"role": "user"
}
] | Geometry | {
"ground_truth": "50",
"style": "rule-based"
} | {
"index": 79,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If $\\overline{W P}$ is a perpendicular bisector, $m \\angle WHA=8 q+17$, $m \\angle HWP=10+q$, $AP=6 r+4$, and $PH=22+3 r$, find $q$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "7",
"style": "rule-based"
} | {
"index": 80,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x",
"role": "user"
}
] | Geometry | {
"ground_truth": "5 \\sqrt { 3 }",
"style": "rule-based"
} | {
"index": 81,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>$a=14, b=48,$ and $c=50$ find $cosB$",
"role": "user"
}
] | Geometry | {
"ground_truth": "0.28",
"style": "rule-based"
} | {
"index": 82,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "9",
"style": "rule-based"
} | {
"index": 83,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>$\\triangle ABC$ is an isosceles triangle with base $BC$. What is the perimeter of the triangle?",
"role": "user"
}
] | Geometry | {
"ground_truth": "40",
"style": "rule-based"
} | {
"index": 84,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>$\\overline{XY}$ and $\\overline{XZ}$ are midsegments of $\\triangle RST$. Find $m \\angle RYX$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "124",
"style": "rule-based"
} | {
"index": 85,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x. Assume that segments that appear to be tangent are tangent.",
"role": "user"
}
] | Geometry | {
"ground_truth": "4",
"style": "rule-based"
} | {
"index": 86,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the perimeter of trapezoid PQRS..",
"role": "user"
}
] | Geometry | {
"ground_truth": "38 + 6 \\sqrt { 2 } + 6 \\sqrt { 3 }",
"style": "rule-based"
} | {
"index": 87,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $m\\angle 3$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "99",
"style": "rule-based"
} | {
"index": 88,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $m\\angle S$",
"role": "user"
}
] | Geometry | {
"ground_truth": "123",
"style": "rule-based"
} | {
"index": 89,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x.",
"role": "user"
}
] | Geometry | {
"ground_truth": "4 \\sqrt { 3 }",
"style": "rule-based"
} | {
"index": 90,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $y$ so that the quadrilateral is a parallelogram.",
"role": "user"
}
] | Geometry | {
"ground_truth": "9",
"style": "rule-based"
} | {
"index": 91,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $x$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "107",
"style": "rule-based"
} | {
"index": 92,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>$m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\\angle 12$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "56",
"style": "rule-based"
} | {
"index": 93,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $m \\angle TUV$",
"role": "user"
}
] | Geometry | {
"ground_truth": "53",
"style": "rule-based"
} | {
"index": 94,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x",
"role": "user"
}
] | Geometry | {
"ground_truth": "6",
"style": "rule-based"
} | {
"index": 95,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find x",
"role": "user"
}
] | Geometry | {
"ground_truth": "4 \\sqrt { 6 }",
"style": "rule-based"
} | {
"index": 96,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>If $m\\angle BAD = 38$ and $m\\angle BCD = 50$, find $m\\angle ADC$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "146",
"style": "rule-based"
} | {
"index": 97,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find $m \\angle 5$.",
"role": "user"
}
] | Geometry | {
"ground_truth": "110",
"style": "rule-based"
} | {
"index": 98,
"split": "train"
} | |
hiyouga/geometry3k | [
{
"content": "<image>Find the perimeter or circumference of the figure. Round to the nearest tenth.",
"role": "user"
}
] | Geometry | {
"ground_truth": "25.1",
"style": "rule-based"
} | {
"index": 99,
"split": "train"
} |
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