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

This dataset was mixed with hiyouga/geometry3k and hiyouga/math12k using the following script.

import os
from functools import partial

from datasets import DatasetDict, Features, Sequence, Value, concatenate_datasets, load_dataset


def process_sample(example: dict, index: int, split: str):
    if "images" in example:
        image = example["images"][0]
        image_path = os.path.join("images", split, f"{index}.png")
        image.save(image_path)
        images = [image_path]
    else:
        images = []

    return {
        "images": images,
        "problem": example["problem"],
        "answer": example["answer"],
    }


def main():
    geo3k = load_dataset("hiyouga/geometry3k")
    math12k = load_dataset("hiyouga/math12k")
    os.makedirs(os.path.join("images", "train"), exist_ok=True)
    os.makedirs(os.path.join("images", "test"), exist_ok=True)
    map_kwargs = {
        "with_indices": True,
        "num_proc": 64,
        "features": Features(
            {"images": Sequence(Value("string")), "problem": Value("string"), "answer": Value("string")}
        ),
    }
    geo3k_train = geo3k["train"].select(range(1500)).map(partial(process_sample, split="train"), **map_kwargs)
    geo3k_test = geo3k["test"].select(range(300)).map(partial(process_sample, split="test"), **map_kwargs)
    math12k_train = math12k["train"].select(range(1500)).map(partial(process_sample, split="train"), **map_kwargs)
    math12k_test = math12k["test"].select(range(300)).map(partial(process_sample, split="test"), **map_kwargs)
    trainset = concatenate_datasets([geo3k_train, math12k_train])
    testset = concatenate_datasets([geo3k_test, math12k_test])
    dataset = DatasetDict({"train": trainset, "test": testset})
    dataset.push_to_hub("hiyouga/rl-mixed-dataset")


if __name__ == "__main__":
    main()
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