id stringlengths 9 9 | media images listlengths 1 1 | messages stringlengths 89 312 | answer stringlengths 1 34 | question_type stringclasses 2
values |
|---|---|---|---|---|
tra_00400 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 48 | numeric | |
tra_00401 | [{"role": "user", "question": "<image>$\\triangle K L N$ and $\\triangle L M N$ are isosceles and $m \\angle J K N=130$. Find the measure of $\\angle LNM$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00402 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 7 | numeric | |
tra_00403 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 14 \sqrt { 3 } | open | |
tra_00404 | [{"role": "user", "question": "<image>$P Q R S$ is a rhombus inscribed in a circle. Find $m \\angle Q R P$ ", "hint": "", "options": {}, "choices": []}] | 45 | numeric | |
tra_00405 | [{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}] | \frac { 15 } { 2 } | open | |
tra_00406 | [{"role": "user", "question": "<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\\angle ABD = 55$ . Find $m\\angle ACB$", "hint": "", "options": {}, "choices": []}] | 35 | numeric | |
tra_00407 | [{"role": "user", "question": "<image>Find y. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 12.6 | numeric | |
tra_00408 | [{"role": "user", "question": "<image>Use parallelogram JKLM to find b if $J K=2 b+3$ and $J M=3 a$.", "hint": "", "options": {}, "choices": []}] | 21 | numeric | |
tra_00409 | [{"role": "user", "question": "<image>According to the Perpendicular Bisector Theorem, what is the length of segment AB below?", "hint": "", "options": {}, "choices": []}] | 2.5 | numeric | |
tra_00410 | [{"role": "user", "question": "<image>Find x. Round side measures to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 8.1 | numeric | |
tra_00411 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_00412 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 93 | numeric | |
tra_00413 | [{"role": "user", "question": "<image>Find $m\\angle C$", "hint": "", "options": {}, "choices": []}] | 120 | numeric | |
tra_00414 | [{"role": "user", "question": "<image>Find $x$ so that $p ∥ q$.", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_00415 | [{"role": "user", "question": "<image>Find $m \\angle 1$.", "hint": "", "options": {}, "choices": []}] | 62 | numeric | |
tra_00416 | [{"role": "user", "question": "<image>$A B C D$ is a rectangle. If $A C=30-x$ and $B D=4 x-60$\r\nfind $x$", "hint": "", "options": {}, "choices": []}] | 18 | numeric | |
tra_00417 | [{"role": "user", "question": "<image>Find x in the figure.", "hint": "", "options": {}, "choices": []}] | 31 | numeric | |
tra_00418 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 2 \sqrt { 10 } | open | |
tra_00419 | [{"role": "user", "question": "<image>Express the ratio of $\\sin A$ as a decimal to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 0.38 | numeric | |
tra_00420 | [{"role": "user", "question": "<image>Find $x$ so that $p \\parallel q$.", "hint": "", "options": {}, "choices": []}] | 44 | numeric | |
tra_00421 | [{"role": "user", "question": "<image>Express the ratio of $\\tan Q$ as a decimal to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 0.53 | numeric | |
tra_00422 | [{"role": "user", "question": "<image>If $J L=27, B L=9,$ and $J K=18,$ find $J A$.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_00423 | [{"role": "user", "question": "<image>Find $m\\angle Z X V$", "hint": "", "options": {}, "choices": []}] | 115 | numeric | |
tra_00424 | [{"role": "user", "question": "<image>Find $m\\angle G$", "hint": "", "options": {}, "choices": []}] | 107 | numeric | |
tra_00425 | [{"role": "user", "question": "<image>If $x=7 \\sqrt{3},$ find $a$", "hint": "", "options": {}, "choices": []}] | 14 \sqrt { 3 } | open | |
tra_00426 | [{"role": "user", "question": "<image>Find the area of the kite.", "hint": "", "options": {}, "choices": []}] | 178.5 | numeric | |
tra_00427 | [{"role": "user", "question": "<image>Find $MN$.", "hint": "", "options": {}, "choices": []}] | 29 | numeric | |
tra_00428 | [{"role": "user", "question": "<image>In the figure, $m∠3 = 43$. Find the measure of $\\angle 7$.", "hint": "", "options": {}, "choices": []}] | 43 | numeric | |
tra_00429 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 32.2 | numeric | |
tra_00430 | [{"role": "user", "question": "<image>Find the area of the triangle. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 0.92 | numeric | |
tra_00431 | [{"role": "user", "question": "<image>For the pair of similar figures, use the given areas to find $x$.", "hint": "", "options": {}, "choices": []}] | 20.0 | numeric | |
tra_00432 | [{"role": "user", "question": "<image>In the figure, $m ∠9 = 75$. Find the measure of $\\angle 3$.", "hint": "", "options": {}, "choices": []}] | 75 | numeric | |
tra_00433 | [{"role": "user", "question": "<image>$P$ is the incenter of $\\triangle AEC$. Find $m \\angle DAC$.", "hint": "", "options": {}, "choices": []}] | 33 | numeric | |
tra_00434 | [{"role": "user", "question": "<image>If KLMN is a parallelogram, find the value of the indicated variable. \r\nFind x", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_00435 | [{"role": "user", "question": "<image>Find $m \\angle P$.", "hint": "", "options": {}, "choices": []}] | 70 | numeric | |
tra_00436 | [{"role": "user", "question": "<image>If $QV=8$, what it the diameter of $\\odot Q$.", "hint": "", "options": {}, "choices": []}] | 16 | numeric | |
tra_00437 | [{"role": "user", "question": "<image>Find the area of the figure.", "hint": "", "options": {}, "choices": []}] | 77 | numeric | |
tra_00438 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_00439 | [{"role": "user", "question": "<image>Points $S$, $T$, and $U$ are the midpoints of $\\overline{DE}$, $\\overline{EF}$, and $\\overline{DF}$, respectively. Find $y$.", "hint": "", "options": {}, "choices": []}] | 5.8 | numeric | |
tra_00440 | [{"role": "user", "question": "<image>Find the area of the kite.", "hint": "", "options": {}, "choices": []}] | 137.5 | numeric | |
tra_00441 | [{"role": "user", "question": "<image>Find x to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 8.39 | numeric | |
tra_00442 | [{"role": "user", "question": "<image>Find $b$.", "hint": "", "options": {}, "choices": []}] | 18 | numeric | |
tra_00443 | [{"role": "user", "question": "<image>Find the area of the regular polygon. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 584.2 | numeric | |
tra_00444 | [{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}] | 5 \sqrt { 33 } | open | |
tra_00445 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_00446 | [{"role": "user", "question": "<image>$\\ln \\odot K$, $ M N=16$ and $m \\widehat{M N}=98$. Find the measure of $LN$. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 8.94 | numeric | |
tra_00447 | [{"role": "user", "question": "<image>Find the radius of $\\odot K$. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 19.00 | numeric | |
tra_00448 | [{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}] | 10 \sqrt { 3 } | open | |
tra_00449 | [{"role": "user", "question": "<image>Find the length of $CB$ in the isosceles triangle ABC. ", "hint": "", "options": {}, "choices": []}] | 7 | numeric | |
tra_00450 | [{"role": "user", "question": "<image>Find the area of the triangle. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 6.02 | numeric | |
tra_00451 | [{"role": "user", "question": "<image>Use parallelogram MNPR to find $z$", "hint": "", "options": {}, "choices": []}] | 6.1 | numeric | |
tra_00452 | [{"role": "user", "question": "<image>Find the length of $XW$", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_00453 | [{"role": "user", "question": "<image>Use parallelogram ABCD to find $y$", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00454 | [{"role": "user", "question": "<image>In $\\odot R$, If $SU=16.2$, what is $RT$?", "hint": "", "options": {}, "choices": []}] | 8.1 | numeric | |
tra_00455 | [{"role": "user", "question": "<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure. ", "hint": "", "options": {}, "choices": []}] | \frac { 3 } { 2 } | open | |
tra_00456 | [{"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 $m\\widehat{C B F}$", "hint": "", "options": {}, "choices": []}] | 225 | numeric | |
tra_00457 | [{"role": "user", "question": "<image>In the figure, $ \\overline{GK} \\cong \\overline{GH}$ and $ \\overline{HK} \\cong \\overline{KJ}$. If $m \\angle HGK=42$, find $m \\angle HJK$.", "hint": "", "options": {}, "choices": []}] | 34.5 | numeric | |
tra_00458 | [{"role": "user", "question": "<image>WXYZ is a kite. If $m\\angle WXY = 13x + 24$, $m\\angle WZY = 35$, and $m\\angle ZWX = 13x + 14$, find $m\\angle ZYX$.", "hint": "", "options": {}, "choices": []}] | 105 | numeric | |
tra_00459 | [{"role": "user", "question": "<image>Find $y$ in the given parallelogram", "hint": "", "options": {}, "choices": []}] | 2 | numeric | |
tra_00460 | [{"role": "user", "question": "<image>Find z", "hint": "", "options": {}, "choices": []}] | 4 \sqrt { 3 } | open | |
tra_00461 | [{"role": "user", "question": "<image>Line $l$ is parallel to line $m$. What is the value of $x$?", "hint": "", "options": {}, "choices": []}] | 50 | numeric | |
tra_00462 | [{"role": "user", "question": "<image>If $AD=27,AB=8$, and $AE=12$, find $BC$.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_00463 | [{"role": "user", "question": "<image>Find y. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 25.9 | numeric | |
tra_00464 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 45 | numeric | |
tra_00465 | [{"role": "user", "question": "<image>Find $m \\angle 2$.", "hint": "", "options": {}, "choices": []}] | 39 | numeric | |
tra_00466 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth, if necessary.", "hint": "", "options": {}, "choices": []}] | 14.3 | numeric | |
tra_00467 | [{"role": "user", "question": "<image>A plane travels from Des Moines to Phoenix, on to Atlanta, and back to Des Moines, as shown below. Find the distance in miles from Des Moines to Phoenix if the total trip was 3482 miles.", "hint": "", "options": {}, "choices": []}] | 1153 | numeric | |
tra_00468 | [{"role": "user", "question": "<image>Find VW", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_00469 | [{"role": "user", "question": "<image>Find the area of the kite. ", "hint": "", "options": {}, "choices": []}] | 72 | numeric | |
tra_00470 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 18 | numeric | |
tra_00471 | [{"role": "user", "question": "<image>Find $y$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_00472 | [{"role": "user", "question": "<image>Find $m \\angle 1$.", "hint": "", "options": {}, "choices": []}] | 128 | numeric | |
tra_00473 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 28.2 | numeric | |
tra_00474 | [{"role": "user", "question": "<image>Find $m \\angle 3$.", "hint": "", "options": {}, "choices": []}] | 55 | numeric | |
tra_00475 | [{"role": "user", "question": "<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_00476 | [{"role": "user", "question": "<image>Find $y$ so that the quadrilateral is a parallelogram", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_00477 | [{"role": "user", "question": "<image>Find $m \\angle 2$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00478 | [{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}] | 4 \sqrt { 3 } | open | |
tra_00479 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 8 \sqrt { 3 } | open | |
tra_00480 | [{"role": "user", "question": "<image>Polygons $FGHJK$ and $VWXUZ$ are similar regular pentagons. Find the scale factor.", "hint": "", "options": {}, "choices": []}] | 2:3 | open | |
tra_00481 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00482 | [{"role": "user", "question": "<image>In $\\odot Z, \\angle W Z X \\cong \\angle X Z Y, m \\angle V Z U=4 x$, $m \\angle U Z Y=2 x+24,$ and $\\overline{V Y}$ and $\\overline{W U}$ are diameters.\r\nFind $m\\widehat{W X}$", "hint": "", "options": {}, "choices": []}] | 52 | numeric | |
tra_00483 | [{"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 AG", "hint": "", "options": {}, "choices": []}] | 7.5 | numeric | |
tra_00484 | [{"role": "user", "question": "<image>Find the measure of $\\angle 5$ if $m∠4= m∠5$.", "hint": "", "options": {}, "choices": []}] | 32 | numeric | |
tra_00485 | [{"role": "user", "question": "<image>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find JK", "hint": "", "options": {}, "choices": []}] | 2.5 | numeric | |
tra_00486 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | \sqrt { 285 } | open | |
tra_00487 | [{"role": "user", "question": "<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find ML", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00488 | [{"role": "user", "question": "<image>Find $HJ$.", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_00489 | [{"role": "user", "question": "<image>Find the measure of $m \\widehat{GH}$.", "hint": "", "options": {}, "choices": []}] | 56 | numeric | |
tra_00490 | [{"role": "user", "question": "<image>If $\\overline{K H}$ is parallel to $\\overline{JI}$, find the measure of $\\angle 3$", "hint": "", "options": {}, "choices": []}] | 90 | numeric | |
tra_00491 | [{"role": "user", "question": "<image>For trapezoid $R S T V, A$ and $B$ are midpoints of the legs. Find $V T$.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_00492 | [{"role": "user", "question": "<image>Find $m \\angle A$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00493 | [{"role": "user", "question": "<image>Use parallelogram ABCD to find $m \\angle FBC $", "hint": "", "options": {}, "choices": []}] | 34 | numeric | |
tra_00494 | [{"role": "user", "question": "<image>If $\\overline{W P}$ is a median and an angle bisector, $A P=3 y+11$, $P H=7 y-5$, $m \\angle H W P=x+12$, $m \\angle P A W=3 x-2$, and $m \\angle H W A=4 x-16$, find $y$.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_00495 | [{"role": "user", "question": "<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\\angle 2$.", "hint": "", "options": {}, "choices": []}] | 80 | numeric | |
tra_00496 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | \sqrt { 15 } | open | |
tra_00497 | [{"role": "user", "question": "<image>Find the perimeter or circumference of the figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 8.6 | numeric | |
tra_00498 | [{"role": "user", "question": "<image>Find $x$ in the figure.", "hint": "", "options": {}, "choices": []}] | 34 | numeric | |
tra_00499 | [{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 50 | numeric |
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