id stringlengths 9 9 | media images listlengths 1 1 | messages stringlengths 89 312 | answer stringlengths 1 34 | question_type stringclasses 2
values |
|---|---|---|---|---|
tra_00200 | [{"role": "user", "question": "<image>Find $y$ and so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | \frac { 4 } { 3 } | open | |
tra_00201 | [{"role": "user", "question": "<image>In $\\triangle A B C, \\overline{B D}$ is a median. If $A D=3 x+5$ and $C D=5 x-1$, find AC .", "hint": "", "options": {}, "choices": []}] | 28 | numeric | |
tra_00202 | [{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}] | 32.6 | numeric | |
tra_00203 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 261 | numeric | |
tra_00204 | [{"role": "user", "question": "<image>Find $m \\angle B$.", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_00205 | [{"role": "user", "question": "<image>Find $m \\angle 2$.", "hint": "", "options": {}, "choices": []}] | 52 | numeric | |
tra_00206 | [{"role": "user", "question": "<image>The triangle is inscribed into the circle. Find the exact circumference of the circle.", "hint": "", "options": {}, "choices": []}] | 17 \pi | open | |
tra_00207 | [{"role": "user", "question": "<image>Find the area of the triangle. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 137.5 | numeric | |
tra_00208 | [{"role": "user", "question": "<image>Use parallelogram MNPR to find $m \\angle MQN$", "hint": "", "options": {}, "choices": []}] | 97 | numeric | |
tra_00209 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 20 \sqrt { 2 } | open | |
tra_00210 | [{"role": "user", "question": "<image>If $a=4,$ find $b$", "hint": "", "options": {}, "choices": []}] | 4 \sqrt { 3 } | open | |
tra_00211 | [{"role": "user", "question": "<image>In the figure, $m ∠1 = 53$. Find the measure of $∠6$.", "hint": "", "options": {}, "choices": []}] | 53 | numeric | |
tra_00212 | [{"role": "user", "question": "<image>Find the area of the quadrilateral.", "hint": "", "options": {}, "choices": []}] | 240 | numeric | |
tra_00213 | [{"role": "user", "question": "<image>Find $JK$.", "hint": "", "options": {}, "choices": []}] | 14 | numeric | |
tra_00214 | [{"role": "user", "question": "<image>Find $AB$.", "hint": "", "options": {}, "choices": []}] | 29 | numeric | |
tra_00215 | [{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 145 | numeric | |
tra_00216 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 2 | numeric | |
tra_00217 | [{"role": "user", "question": "<image>Find $z$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00218 | [{"role": "user", "question": "<image>$\\overline{PM}$ is a diameter of $\\odot R$. Find $m \\widehat {MQ}$.", "hint": "", "options": {}, "choices": []}] | 65 | numeric | |
tra_00219 | [{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_00220 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 1448.0 | numeric | |
tra_00221 | [{"role": "user", "question": "<image>Assume that the segment is tangent, find the value of $x$.", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_00222 | [{"role": "user", "question": "<image>Express the ratio of $ \\cos C $ as a decimal to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 0.80 | numeric | |
tra_00223 | [{"role": "user", "question": "<image>Find the area of the triangle. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 6.79 | numeric | |
tra_00224 | [{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 38.4 | numeric | |
tra_00225 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00226 | [{"role": "user", "question": "<image>If PR || WX, WX = 10, XY = 6, WY = 8, RY = 5, and PS = 3, find PQ", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00227 | [{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}] | \frac { 19 \sqrt { 2 } } { 2 } | open | |
tra_00228 | [{"role": "user", "question": "<image>Find $x$ so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_00229 | [{"role": "user", "question": "<image>Find the area of the shaded region. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 7.9 | numeric | |
tra_00230 | [{"role": "user", "question": "<image>If $ABCDE \\sim PQRST,$ find the perimeter of $PQRST$.", "hint": "", "options": {}, "choices": []}] | 22.5 | numeric | |
tra_00231 | [{"role": "user", "question": "<image>Find the value of the variable $x$ in the figure.", "hint": "", "options": {}, "choices": []}] | 70 | numeric | |
tra_00232 | [{"role": "user", "question": "<image>Each triangle in the figure is a $45^{\\circ}-45^{\\circ}-90^{\\circ}$ triangle. Find $x$.", "hint": "", "options": {}, "choices": []}] | \frac { 3 } { 2 } | open | |
tra_00233 | [{"role": "user", "question": "<image>Find $m\\angle L$", "hint": "", "options": {}, "choices": []}] | 52 | numeric | |
tra_00234 | [{"role": "user", "question": "<image>The segment is tangent to the circle. Find $x$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00235 | [{"role": "user", "question": "<image>Find the area of the triangle. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00236 | [{"role": "user", "question": "<image>Find the area of the parallelogram.", "hint": "", "options": {}, "choices": []}] | 396 | numeric | |
tra_00237 | [{"role": "user", "question": "<image>Find $x$ in parallelogram $ABCD$.", "hint": "", "options": {}, "choices": []}] | 7.2 | numeric | |
tra_00238 | [{"role": "user", "question": "<image>If QRST is a parallelogram, Find $z$", "hint": "", "options": {}, "choices": []}] | 11 | numeric | |
tra_00239 | [{"role": "user", "question": "<image>Refer to the figure at the right. Find the value of $m ∠ ABD $ if $ p \\parallel q $.", "hint": "", "options": {}, "choices": []}] | 75 | numeric | |
tra_00240 | [{"role": "user", "question": "<image>Find $KL$.", "hint": "", "options": {}, "choices": []}] | 24 | numeric | |
tra_00241 | [{"role": "user", "question": "<image>In $\\odot D, \\overline{D E} \\cong \\overline{E C}, m \\widehat{C F}=60,$ and\r\n$\\overline{D E} \\perp \\overline{E C} .$ Find $m \\angle 5$", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_00242 | [{"role": "user", "question": "<image>For trapezoid $D E G H, X$ and $Y$ are midpoints of the legs. Find $D E$", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_00243 | [{"role": "user", "question": "<image>Point $S$ is the incenter of $\\triangle JPL$. Find $m \\angle MPQ$.", "hint": "", "options": {}, "choices": []}] | 56 | numeric | |
tra_00244 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 40 | numeric | |
tra_00245 | [{"role": "user", "question": "<image>Find $m \\angle 8$.", "hint": "", "options": {}, "choices": []}] | 28.5 | numeric | |
tra_00246 | [{"role": "user", "question": "<image>Find the height of the parallelogram given its area with 100 square units.", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_00247 | [{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}] | 16 | numeric | |
tra_00248 | [{"role": "user", "question": "<image>The height of a triangle is 5 centimeters more than its base. The area of the triangle is 52 square centimeters. Find the height.", "hint": "", "options": {}, "choices": []}] | 13 | numeric | |
tra_00249 | [{"role": "user", "question": "<image>Find the diameter of circle M.", "hint": "", "options": {}, "choices": []}] | 38.0 | numeric | |
tra_00250 | [{"role": "user", "question": "<image>Find $RT$.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_00251 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00252 | [{"role": "user", "question": "<image>$\\overline{E C}$ and $\\overline{A B}$ are diameters of $\\odot O$. Find its measure of $\\widehat{A C B}$. ", "hint": "", "options": {}, "choices": []}] | 180 | numeric | |
tra_00253 | [{"role": "user", "question": "<image>Use parallelogram $JKLM$ to find $m \\angle JML$.", "hint": "", "options": {}, "choices": []}] | 80 | numeric | |
tra_00254 | [{"role": "user", "question": "<image>Find $m\\angle C$", "hint": "", "options": {}, "choices": []}] | 127 | numeric | |
tra_00255 | [{"role": "user", "question": "<image>If QRST is a kite, find $m\\angle RST$.", "hint": "", "options": {}, "choices": []}] | 78 | numeric | |
tra_00256 | [{"role": "user", "question": "<image>In $\\odot P, m \\widehat{E N}=66$ and $m \\angle G P M=89$ . \r\nFind $m \\angle G M E$", "hint": "", "options": {}, "choices": []}] | 57 | numeric | |
tra_00257 | [{"role": "user", "question": "<image>Find $x$ if $AC=x-3$, $BE=20, AB=16,$ and $CD=x+5$", "hint": "", "options": {}, "choices": []}] | 35 | numeric | |
tra_00258 | [{"role": "user", "question": "<image>Find $ED$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_00259 | [{"role": "user", "question": "<image>Use a Pythagorean Triple to find x.", "hint": "", "options": {}, "choices": []}] | 34 | numeric | |
tra_00260 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_00261 | [{"role": "user", "question": "<image>Find EC", "hint": "", "options": {}, "choices": []}] | 4.8 | numeric | |
tra_00262 | [{"role": "user", "question": "<image>Find $m \\angle R$.", "hint": "", "options": {}, "choices": []}] | 32 | numeric | |
tra_00263 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 4 \sqrt { 2 } | open | |
tra_00264 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_00265 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 340 | numeric | |
tra_00266 | [{"role": "user", "question": "<image>Find the perimeter of the triangle.", "hint": "", "options": {}, "choices": []}] | 71.7 | numeric | |
tra_00267 | [{"role": "user", "question": "<image>Find the value of $x$ in the diagram.", "hint": "", "options": {}, "choices": []}] | 13 | numeric | |
tra_00268 | [{"role": "user", "question": "<image>$\\overline{AD}$ and $\\overline{CG}$ are diameters of $\\odot B$. Find $m \\widehat {CGD}$.", "hint": "", "options": {}, "choices": []}] | 305 | numeric | |
tra_00269 | [{"role": "user", "question": "<image>Lines $l$, $m$, and $n$ are perpendicular bisectors of $\\triangle PQR$ and meet at $T$. If $TQ = 2x$, $PT = 3y - 1$, and $TR = 8$, find $y$.", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_00270 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 44.9 | numeric | |
tra_00271 | [{"role": "user", "question": "<image>Find the measure of $\\angle 7$ if $\\overline{A B} \\perp \\overline{B C}$.", "hint": "", "options": {}, "choices": []}] | 140 | numeric | |
tra_00272 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 53.4 | numeric | |
tra_00273 | [{"role": "user", "question": "<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\\angle 6$.", "hint": "", "options": {}, "choices": []}] | 38 | numeric | |
tra_00274 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 315 | numeric | |
tra_00275 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear\r\nto be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00276 | [{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_00277 | [{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 46 | numeric | |
tra_00278 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_00279 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 50 | numeric | |
tra_00280 | [{"role": "user", "question": "<image>If $R T=16, Q P=24,$ and $S T=9,$ find $P S$", "hint": "", "options": {}, "choices": []}] | 13.5 | numeric | |
tra_00281 | [{"role": "user", "question": "<image>Find $CP$.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_00282 | [{"role": "user", "question": "<image>Circle $O$ has a radius of $10, A B=10$ and $m \\overrightarrow{A B}=60 .$ Find $m\\widehat{A Y}$", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_00283 | [{"role": "user", "question": "<image>Let $\\overline{J K}$ be the median of $A B T Q .$ Find $J K$", "hint": "", "options": {}, "choices": []}] | 78 | numeric | |
tra_00284 | [{"role": "user", "question": "<image>Find the perimeter of each polygon for the given information.\r\n$B Y=C Z=A X=2.5$\r\ndiameter of $\\odot G=5$", "hint": "", "options": {}, "choices": []}] | 15 \sqrt { 3 } | open | |
tra_00285 | [{"role": "user", "question": "<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\\angle 1$.", "hint": "", "options": {}, "choices": []}] | 123 | numeric | |
tra_00286 | [{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_00287 | [{"role": "user", "question": "<image>Find $m \\angle T$.", "hint": "", "options": {}, "choices": []}] | 55 | numeric | |
tra_00288 | [{"role": "user", "question": "<image>Find $m\\angle B$", "hint": "", "options": {}, "choices": []}] | 120 | numeric | |
tra_00289 | [{"role": "user", "question": "<image>Find $m \\angle 3$.", "hint": "", "options": {}, "choices": []}] | 51 | numeric | |
tra_00290 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 7 \sqrt { 2 } | open | |
tra_00291 | [{"role": "user", "question": "<image>Each pair of polygons is similar. Find y", "hint": "", "options": {}, "choices": []}] | 48.45 | numeric | |
tra_00292 | [{"role": "user", "question": "<image>Find $CD$ if $AB=6, AF=8, BC=x, CD=y$, $DE=2y-3,$ and $FE=x+\\frac{10}{3}$", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_00293 | [{"role": "user", "question": "<image>Find the measure of $ \\angle 1$ in the figure.", "hint": "", "options": {}, "choices": []}] | 80 | numeric | |
tra_00294 | [{"role": "user", "question": "<image>Find $x$ so that the quadrilateral is a parallelogram", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_00295 | [{"role": "user", "question": "<image>What is the area of the shaded region if $r=4$.", "hint": "", "options": {}, "choices": []}] | 64 - 16 \pi | open | |
tra_00296 | [{"role": "user", "question": "<image>Rhombus $RSTU$ has an area of 675 square meters. Find $SU$.", "hint": "", "options": {}, "choices": []}] | 45 | numeric | |
tra_00297 | [{"role": "user", "question": "<image>Use parallelogram $JKLM$ to find JK", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00298 | [{"role": "user", "question": "<image>Find x in the figure.", "hint": "", "options": {}, "choices": []}] | 16 | numeric | |
tra_00299 | [{"role": "user", "question": "<image>$\\overline{QS}$ is a diameter of $\\odot V$. Find $m \\widehat {STP}$.", "hint": "", "options": {}, "choices": []}] | 147 | numeric |
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