id stringlengths 9 9 | media images listlengths 1 1 | messages stringlengths 89 312 | answer stringlengths 1 34 | question_type stringclasses 2
values |
|---|---|---|---|---|
tra_01200 | [{"role": "user", "question": "<image>Find $m \\angle 6$.", "hint": "", "options": {}, "choices": []}] | 49 | numeric | |
tra_01201 | [{"role": "user", "question": "<image>Quadrilateral MNOP is a rhombus. If PR = 12, find RN.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01202 | [{"role": "user", "question": "<image>Solve for $x$.", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_01203 | [{"role": "user", "question": "<image>Find $m \\angle X$", "hint": "", "options": {}, "choices": []}] | 117 | numeric | |
tra_01204 | [{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}] | 1.5 | numeric | |
tra_01205 | [{"role": "user", "question": "<image>Circle $W$ has a radius of 4 units, $\\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $I C$", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_01206 | [{"role": "user", "question": "<image>$\\triangle RSV \\cong \\triangle TVS$. Find $y$.", "hint": "", "options": {}, "choices": []}] | 12.5 | numeric | |
tra_01207 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_01208 | [{"role": "user", "question": "<image>Find $m∠1$.", "hint": "", "options": {}, "choices": []}] | 67 | numeric | |
tra_01209 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_01210 | [{"role": "user", "question": "<image>Find the length of $XY$", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_01211 | [{"role": "user", "question": "<image>If $\\overline{PQ} \\cong \\overline{UQ}$, $\\overline{PR} \\cong \\overline{RT}$ and $ m ∠ PQU = 40 $, find $ m ∠R $.", "hint": "", "options": {}, "choices": []}] | 40 | numeric | |
tra_01212 | [{"role": "user", "question": "<image>Find the variable of $c$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 22.8 | numeric | |
tra_01213 | [{"role": "user", "question": "<image>Find $m\\angle F$", "hint": "", "options": {}, "choices": []}] | 116 | numeric | |
tra_01214 | [{"role": "user", "question": "<image>If $A B=60$ and $D E=48,$ find $C F$", "hint": "", "options": {}, "choices": []}] | 18 | numeric | |
tra_01215 | [{"role": "user", "question": "<image>Find z.", "hint": "", "options": {}, "choices": []}] | 6 \sqrt { 3 } | open | |
tra_01216 | [{"role": "user", "question": "<image>Find $QR$ if $\\triangle QRS$ is an equilateral triangle.", "hint": "", "options": {}, "choices": []}] | 2 | numeric | |
tra_01217 | [{"role": "user", "question": "<image>Find the value of the variable $x$ in the figure.", "hint": "", "options": {}, "choices": []}] | 63 | numeric | |
tra_01218 | [{"role": "user", "question": "<image>Find the area of $▱ ABCD$.", "hint": "", "options": {}, "choices": []}] | 50 | numeric | |
tra_01219 | [{"role": "user", "question": "<image>Polygon ABCD ~ polygon AEFG, $m\\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.\r\nFind scale factor of trapezoid ABCD to trapezoid AEFG", "hint": "", "options": {}, "choices": []}] | 1.6 | numeric | |
tra_01220 | [{"role": "user", "question": "<image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m\\angle ABD = 24$. Find $m\\angle ACB$", "hint": "", "options": {}, "choices": []}] | 66 | numeric | |
tra_01221 | [{"role": "user", "question": "<image>Find $B C$ if $B E=24, C D=32,$ and $A B=33$", "hint": "", "options": {}, "choices": []}] | 11 | numeric | |
tra_01222 | [{"role": "user", "question": "<image>Find $y$ in $\\triangle P Q R$", "hint": "", "options": {}, "choices": []}] | 2 \sqrt { 3 } | open | |
tra_01223 | [{"role": "user", "question": "<image>A square with 5-centimeter sides is inscribed in a circle. What is the circumference of the circle? Round your answer to the nearest\r\ntenth of a centimeter.", "hint": "", "options": {}, "choices": []}] | 22.2 | numeric | |
tra_01224 | [{"role": "user", "question": "<image>In $\\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \\angle G J N=6 y-3$, $m \\angle N J H=4 y+23$ and $m \\angle H M G=4 z+14$. If $\\overline{HM}$ is an altitude of $∠GHJ$, find the value of $z$.", "hint": "", "options": {}, "choices": []}] | 19 | numeric | |
tra_01225 | [{"role": "user", "question": "<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 7.4 | numeric | |
tra_01226 | [{"role": "user", "question": "<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.", "hint": "", "options": {}, "choices": []}] | 333.9 | numeric | |
tra_01227 | [{"role": "user", "question": "<image>In $\\odot F, \\overline{F H} \\cong \\overline{F L}$ and $\\mathrm{FK}=17$.\r\nFind JH", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_01228 | [{"role": "user", "question": "<image>Find the area of the shaded region. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 77.0 | numeric | |
tra_01229 | [{"role": "user", "question": "<image>Find the area of the circle. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 38707.6 | numeric | |
tra_01230 | [{"role": "user", "question": "<image>Use parallelogram ABCD to find $m\\angle BDC$", "hint": "", "options": {}, "choices": []}] | 87.9 | numeric | |
tra_01231 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 40 | numeric | |
tra_01232 | [{"role": "user", "question": "<image>The lengths of the bases of an isosceles trapezoid are shown below. If the perimeter is 74 meters, what is its area?", "hint": "", "options": {}, "choices": []}] | 162 | numeric | |
tra_01233 | [{"role": "user", "question": "<image>Find $m \\widehat {RQ}$.", "hint": "", "options": {}, "choices": []}] | 28 | numeric | |
tra_01234 | [{"role": "user", "question": "<image>Find $FE$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\\frac{10}{3}$.", "hint": "", "options": {}, "choices": []}] | \frac { 40 } { 3 } | open | |
tra_01235 | [{"role": "user", "question": "<image>Find the perimeter of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 56 | numeric | |
tra_01236 | [{"role": "user", "question": "<image>What is the measure of an interior angle of a regular pentagon?", "hint": "", "options": {}, "choices": []}] | 108 | numeric | |
tra_01237 | [{"role": "user", "question": "<image>Find the measure of $\\angle 4$ if $\\overline{AB} \\perp \\overline{BC}$.", "hint": "", "options": {}, "choices": []}] | 40 | numeric | |
tra_01238 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | \frac { \sqrt { 10 } } { 5 } | open | |
tra_01239 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 28.7 | numeric | |
tra_01240 | [{"role": "user", "question": "<image>Find the area of the shaded region. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 34.6 | numeric | |
tra_01241 | [{"role": "user", "question": "<image>In the figure, $m∠3 = 43$. Find the measure of $\\angle 2$.", "hint": "", "options": {}, "choices": []}] | 137 | numeric | |
tra_01242 | [{"role": "user", "question": "<image>Find x in the figure below. Round your answer to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 93.9 | numeric | |
tra_01243 | [{"role": "user", "question": "<image>Find $m \\angle R$.", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_01244 | [{"role": "user", "question": "<image>Find $x$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 7 | numeric | |
tra_01245 | [{"role": "user", "question": "<image>If $a ∥ b$ in the diagram below, which of the following may not be true?", "hint": "", "options": {}, "choices": []}] | \angle 8 \cong \angle 2 | open | |
tra_01246 | [{"role": "user", "question": "<image>Find x in the parallelogram", "hint": "", "options": {}, "choices": []}] | 7 | numeric | |
tra_01247 | [{"role": "user", "question": "<image>Find the area of the triangle. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 129.9 | numeric | |
tra_01248 | [{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 9.6 | numeric | |
tra_01249 | [{"role": "user", "question": "<image>Express the ratio of $\\sin Q$ as a decimal to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 0.47 | numeric | |
tra_01250 | [{"role": "user", "question": "<image>parallelogram MNPQ with $m \\angle M=10 x$ and $m \\angle N=20 x$, find $\\angle N$", "hint": "", "options": {}, "choices": []}] | 120 | numeric | |
tra_01251 | [{"role": "user", "question": "<image>Find the measure of the altitude drawn to the hypotenuse.", "hint": "", "options": {}, "choices": []}] | 8 \sqrt { 2 } | open | |
tra_01252 | [{"role": "user", "question": "<image>In the figure at the right, $YZ$ is the midsegment of trapezoid $TWRV$. Determine the value of $x$.", "hint": "", "options": {}, "choices": []}] | 1.2 | numeric | |
tra_01253 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 162 | numeric | |
tra_01254 | [{"role": "user", "question": "<image>Find $\\angle 10$", "hint": "", "options": {}, "choices": []}] | 50 | numeric | |
tra_01255 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_01256 | [{"role": "user", "question": "<image>$m∠11 = 4x$, $m∠12 = 2x -6 $. Find the measure of $\\angle 11$.", "hint": "", "options": {}, "choices": []}] | 124 | numeric | |
tra_01257 | [{"role": "user", "question": "<image>Find $m \\angle 3$.", "hint": "", "options": {}, "choices": []}] | 16 | numeric | |
tra_01258 | [{"role": "user", "question": "<image>Find $x$ so that $ m \\parallel n $.", "hint": "", "options": {}, "choices": []}] | 21.6 | numeric | |
tra_01259 | [{"role": "user", "question": "<image>Find $m\\angle E$", "hint": "", "options": {}, "choices": []}] | 126 | numeric | |
tra_01260 | [{"role": "user", "question": "<image>Find the base of the parallelogram given its area with 100 square units.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_01261 | [{"role": "user", "question": "<image>If $\\overline{P Q} \\cong \\overline{Q S}$, $\\overline{Q R} \\cong \\overline{R S}$, and $m \\angle P R S=72$, what is the measure of $\\angle Q P S$ ?", "hint": "", "options": {}, "choices": []}] | 27 | numeric | |
tra_01262 | [{"role": "user", "question": "<image>In $\\odot O, \\overline{E C}$ and $\\overline{A B}$ are diameters, and $\\angle B O D \\cong \\angle D O E \\cong \\angle E O F \\cong \\angle F O A$\r\nFind $m\\widehat{A D C}$", "hint": "", "options": {}, "choices": []}] | 270 | numeric | |
tra_01263 | [{"role": "user", "question": "<image>Quadrilateral ABCD is a rectangle. If $m\\angle ADB = 4x + 8$ and $m\\angle DBA = 6x + 12$, find x.", "hint": "", "options": {}, "choices": []}] | 7 | numeric | |
tra_01264 | [{"role": "user", "question": "<image>Express the ratio of $\\sin B$ as a decimal to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 0.92 | numeric | |
tra_01265 | [{"role": "user", "question": "<image>Find $m∠MRQ$ so that $a || b$.", "hint": "", "options": {}, "choices": []}] | 77 | numeric | |
tra_01266 | [{"role": "user", "question": "<image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\\angle 20$.", "hint": "", "options": {}, "choices": []}] | 40 | numeric | |
tra_01267 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01268 | [{"role": "user", "question": "<image>Find the perimeter of $\\triangle Q R S$ if $\\triangle Q R S \\sim \\triangle Q T P$", "hint": "", "options": {}, "choices": []}] | 14 | numeric | |
tra_01269 | [{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}] | 40 | numeric | |
tra_01270 | [{"role": "user", "question": "<image>Polygon ABCD ~ polygon AEFG, $m\\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.\r\nFind DC", "hint": "", "options": {}, "choices": []}] | 22.4 | numeric | |
tra_01271 | [{"role": "user", "question": "<image>Find z.", "hint": "", "options": {}, "choices": []}] | \frac { 85 } { 6 } \sqrt { 13 } | open | |
tra_01272 | [{"role": "user", "question": "<image>Rhombus $QRST$ has an area of 137.9 square meters. If $RT$ is 12.2 meters, find $QS$.", "hint": "", "options": {}, "choices": []}] | 22.6 | numeric | |
tra_01273 | [{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_01274 | [{"role": "user", "question": "<image>Find the area of a regular pentagon with a perimeter of 40 centimeters.", "hint": "", "options": {}, "choices": []}] | 110 | numeric | |
tra_01275 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 2 \sqrt { 66 } | open | |
tra_01276 | [{"role": "user", "question": "<image>Square $F G H J$ is inscribed in $\\odot K$. Find the measure of a central angle.", "hint": "", "options": {}, "choices": []}] | 90 | numeric | |
tra_01277 | [{"role": "user", "question": "<image>Find the exact circumference of each circle.", "hint": "", "options": {}, "choices": []}] | 8 \pi | open | |
tra_01278 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 140 | numeric | |
tra_01279 | [{"role": "user", "question": "<image>Find the measure of $\\angle 3$ if $m \\angle D G F=53$ and $m \\angle A G C=40$.", "hint": "", "options": {}, "choices": []}] | 50 | numeric | |
tra_01280 | [{"role": "user", "question": "<image>Polygon $BCDE$ $\\cong$ polygon $RSTU$. Find $x$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_01281 | [{"role": "user", "question": "<image>$\\triangle NDG \\cong \\triangle LGD$. Find $x$.", "hint": "", "options": {}, "choices": []}] | 54 | numeric | |
tra_01282 | [{"role": "user", "question": "<image>WXYZ is a kite. If $m\\angle WXY = 120$, $m\\angle WZY = 4x$, and $m\\angle ZWX = 10x$, find $m\\angle ZYX$.", "hint": "", "options": {}, "choices": []}] | 100 | numeric | |
tra_01283 | [{"role": "user", "question": "<image>$P$ is the centroid of triangle $QUS$. If $QP=14$ centimeters, what is the length of $\\overline{QT}$?", "hint": "", "options": {}, "choices": []}] | 21 | numeric | |
tra_01284 | [{"role": "user", "question": "<image>Express the ratio of $\\cos Q$ as a decimal to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 0.88 | numeric | |
tra_01285 | [{"role": "user", "question": "<image>$\\overline{JH}$ is a midsegment of $\\triangle KLM$. Find $x$.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_01286 | [{"role": "user", "question": "<image>For isosceles trapezoid $A B C D$, $X$ and $Y$ are midpoints of the legs. Find $m \\angle X B C$ if $m \\angle A D Y=78$", "hint": "", "options": {}, "choices": []}] | 102 | numeric | |
tra_01287 | [{"role": "user", "question": "<image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and \r\n$KH = 2x + 3$, find $y$ so that the quadrilateral is a parallelogram. ", "hint": "", "options": {}, "choices": []}] | 2.5 | numeric | |
tra_01288 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01289 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 9 \sqrt { 2 } | open | |
tra_01290 | [{"role": "user", "question": "<image>Find $m \\angle 1$ in the figure.", "hint": "", "options": {}, "choices": []}] | 107 | numeric | |
tra_01291 | [{"role": "user", "question": "<image>Find $a$.", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_01292 | [{"role": "user", "question": "<image>Find the measure of $\\angle 8$ if $\\overline{A B} \\perp \\overline{B C}$.", "hint": "", "options": {}, "choices": []}] | 14 | numeric | |
tra_01293 | [{"role": "user", "question": "<image>Find the area of the shaded region. Assume the inscribed polygon is regular.", "hint": "", "options": {}, "choices": []}] | 25.8 | numeric | |
tra_01294 | [{"role": "user", "question": "<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 54.4 | numeric | |
tra_01295 | [{"role": "user", "question": "<image>If $c=8,$ find $a$", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01296 | [{"role": "user", "question": "<image>If $MNPQ \\sim XYZW,$ find the perimeter of $MNPQ$.", "hint": "", "options": {}, "choices": []}] | 34 | numeric | |
tra_01297 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_01298 | [{"role": "user", "question": "<image>In $\\odot P, m \\widehat{E N}=66$ and $m \\angle G P M=89$ . \r\nFind $m \\angle E G N$", "hint": "", "options": {}, "choices": []}] | 33 | numeric | |
tra_01299 | [{"role": "user", "question": "<image>In the figure, $m∠1 = 123$. Find the measure of $\\angle 5$.", "hint": "", "options": {}, "choices": []}] | 123 | numeric |
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