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