id stringlengths 9 9 | media images listlengths 1 1 | messages stringlengths 89 312 | answer stringlengths 1 34 | question_type stringclasses 2
values |
|---|---|---|---|---|
tra_01500 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth, if necessary.", "hint": "", "options": {}, "choices": []}] | 11 | numeric | |
tra_01501 | [{"role": "user", "question": "<image>Find $x$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 1 | numeric | |
tra_01502 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 2 \sqrt { 6 } | open | |
tra_01503 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 7 | numeric | |
tra_01504 | [{"role": "user", "question": "<image>Find the value of the variable $x$ in the figure.", "hint": "", "options": {}, "choices": []}] | 114 | numeric | |
tra_01505 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 9.2 | numeric | |
tra_01506 | [{"role": "user", "question": "<image>Find the value of $x$.", "hint": "", "options": {}, "choices": []}] | 35 | numeric | |
tra_01507 | [{"role": "user", "question": "<image>Find $y$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01508 | [{"role": "user", "question": "<image>Find $z$ in the figure.", "hint": "", "options": {}, "choices": []}] | 13.5 | numeric | |
tra_01509 | [{"role": "user", "question": "<image>In the figure, $m \\angle 1=4 p+15$, $m \\angle 3=3 p-10$ and $m \\angle 4=6 r+5 $. Find the value of $r$.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_01510 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 855 | numeric | |
tra_01511 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 52 | numeric | |
tra_01512 | [{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}] | 15.6 | numeric | |
tra_01513 | [{"role": "user", "question": "<image>Find x. Assume that any segment that appears to be tangent is tangent.", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_01514 | [{"role": "user", "question": "<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\\angle 5$.", "hint": "", "options": {}, "choices": []}] | 123 | numeric | |
tra_01515 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 87.5 | numeric | |
tra_01516 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 6 \sqrt 2 | open | |
tra_01517 | [{"role": "user", "question": "<image>In the figure at the right, which cannot be true if $ m \\parallel l $ and $ m ∠1 = 73 $?", "hint": "", "options": {}, "choices": []}] | \angle 1 \cong \angle 4 | open | |
tra_01518 | [{"role": "user", "question": "<image>Find the perimeter of each polygon for the given information.\r\n$C F=6(3-x), D B=12 y-4$", "hint": "", "options": {}, "choices": []}] | 36 | numeric | |
tra_01519 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 75 | numeric | |
tra_01520 | [{"role": "user", "question": "<image>Find $y$ so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 7 | numeric | |
tra_01521 | [{"role": "user", "question": "<image>Solve for x in the figure below.", "hint": "", "options": {}, "choices": []}] | 4.75 | numeric | |
tra_01522 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 7.2 | numeric | |
tra_01523 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_01524 | [{"role": "user", "question": "<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 154.2 | numeric | |
tra_01525 | [{"role": "user", "question": "<image>Find $a$ if $c=8, b=10,$ and $m \\angle A=60$", "hint": "", "options": {}, "choices": []}] | 9.2 | numeric | |
tra_01526 | [{"role": "user", "question": "<image>In $\\odot C$, $m \\angle HCG=2x$ and $m \\angle HCD=6x+28$, find $m \\widehat {EF}$.", "hint": "", "options": {}, "choices": []}] | 52 | numeric | |
tra_01527 | [{"role": "user", "question": "<image>In $\\odot F, \\overline{F H} \\cong \\overline{F L}$ and $\\mathrm{FK}=17$.\r\nFind KM", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_01528 | [{"role": "user", "question": "<image>In $\\odot F, m \\angle D F A=50$ and $\\overline{C F} \\perp \\overline{F B}$. Find $m \\widehat{C B E}$", "hint": "", "options": {}, "choices": []}] | 140 | numeric | |
tra_01529 | [{"role": "user", "question": "<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠10$.", "hint": "", "options": {}, "choices": []}] | 55 | numeric | |
tra_01530 | [{"role": "user", "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 $m \\angle HWP$.", "hint": "", "options": {}, "choices": []}] | 17 | numeric | |
tra_01531 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 91 | numeric | |
tra_01532 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth.\r\n", "hint": "", "options": {}, "choices": []}] | 9.9 | numeric | |
tra_01533 | [{"role": "user", "question": "<image>$\\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the diameter of the circle.", "hint": "", "options": {}, "choices": []}] | 17 | numeric | |
tra_01534 | [{"role": "user", "question": "<image>Find $XY$.", "hint": "", "options": {}, "choices": []}] | 21 | numeric | |
tra_01535 | [{"role": "user", "question": "<image>Use parallelogram MNPR to find $w$", "hint": "", "options": {}, "choices": []}] | 3.5 | numeric | |
tra_01536 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_01537 | [{"role": "user", "question": "<image>Find $m \\widehat{B C A}$", "hint": "", "options": {}, "choices": []}] | 180 | numeric | |
tra_01538 | [{"role": "user", "question": "<image>What is the area of the triangle? Round your answer to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 161.3 | numeric | |
tra_01539 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 408 | numeric | |
tra_01540 | [{"role": "user", "question": "<image>Find y in the figure.", "hint": "", "options": {}, "choices": []}] | 45 | numeric | |
tra_01541 | [{"role": "user", "question": "<image>If $AC=14,BC=8$, and $AD=21$, find $ED$.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01542 | [{"role": "user", "question": "<image>What is the measure of $\\angle GHI$?", "hint": "", "options": {}, "choices": []}] | 110 | numeric | |
tra_01543 | [{"role": "user", "question": "<image>If $\\overline{E C}$ is an altitude of $\\triangle A E D, m \\angle 1=2 x+7,$ and $m \\angle 2=3 x+13,$ find $m \\angle 1$.", "hint": "", "options": {}, "choices": []}] | 35 | numeric | |
tra_01544 | [{"role": "user", "question": "<image>If $b=18,$ find $a$ ", "hint": "", "options": {}, "choices": []}] | 6 \sqrt { 3 } | open | |
tra_01545 | [{"role": "user", "question": "<image>Use parallelogram MNPR to find $m \\angle NRP$", "hint": "", "options": {}, "choices": []}] | 33 | numeric | |
tra_01546 | [{"role": "user", "question": "<image>Find x. ", "hint": "", "options": {}, "choices": []}] | 3 \sqrt { 5 } | open | |
tra_01547 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 0 | numeric | |
tra_01548 | [{"role": "user", "question": "<image>$ACDF \\sim VWYZ$. Find $y$.", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_01549 | [{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}] | 73.5 | numeric | |
tra_01550 | [{"role": "user", "question": "<image>Find $D C$ if $\\overline{D G}$ and $\\overline{J M}$ are altitudes and $\\triangle K J L \\sim \\triangle E D C$", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01551 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 315.2 | numeric | |
tra_01552 | [{"role": "user", "question": "<image>In $\\odot X, A B=30, C D=30,$ and $m \\widehat{C Z}=40$\r\nFind CN", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_01553 | [{"role": "user", "question": "<image>Circles $G, J,$ and $K$ all intersect at $L$ If $G H=10,$ find GL.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_01554 | [{"role": "user", "question": "<image>$\\triangle RST \\cong \\triangle ABC$. Find $y$.", "hint": "", "options": {}, "choices": []}] | 21 | numeric | |
tra_01555 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 164.3 | numeric | |
tra_01556 | [{"role": "user", "question": "<image>Find $\\angle 4$", "hint": "", "options": {}, "choices": []}] | 60 | numeric | |
tra_01557 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 8 \sqrt { 2 } | open | |
tra_01558 | [{"role": "user", "question": "<image>Triangle $JKL$ is circumscribed about $\\odot R$. Find $x$.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01559 | [{"role": "user", "question": "<image>Find QS", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_01560 | [{"role": "user", "question": "<image>Find the measure of $\\angle 1$.", "hint": "", "options": {}, "choices": []}] | 85 | numeric | |
tra_01561 | [{"role": "user", "question": "<image>If $\\overline{QR} \\| \\overline{XY}, \\overline{XQ} \\cong \\overline{QZ}$, and $QR=9.5$ units, what is the length of $\\overline{XY}$.", "hint": "", "options": {}, "choices": []}] | 19 | numeric | |
tra_01562 | [{"role": "user", "question": "<image>In quadrilateral $A B C D, A C=188, B D=214$, $m \\angle B P C=70,$ and $P$ is the midpoint of $A C$ and BD. Find the perimeter of quadrilateral $A B C D .$", "hint": "", "options": {}, "choices": []}] | 561.2 | numeric | |
tra_01563 | [{"role": "user", "question": "<image>Quadrilateral EFGH is a rectangle. Find $m\\angle HEF + m\\angle EFG$.", "hint": "", "options": {}, "choices": []}] | 180 | numeric | |
tra_01564 | [{"role": "user", "question": "<image>Find the area of the quadrilateral.", "hint": "", "options": {}, "choices": []}] | 2829.0 | numeric | |
tra_01565 | [{"role": "user", "question": "<image>In the figure, $m∠1 = 94$. Find the measure of $\\angle 5$.", "hint": "", "options": {}, "choices": []}] | 94 | numeric | |
tra_01566 | [{"role": "user", "question": "<image>What is the ratio of the measure of $\\angle A C B$ to the measure of $\\angle A O B ?$", "hint": "", "options": {}, "choices": []}] | 0.5 | numeric | |
tra_01567 | [{"role": "user", "question": "<image>Find the area of the kite.", "hint": "", "options": {}, "choices": []}] | 110 | numeric | |
tra_01568 | [{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}] | 35 | numeric | |
tra_01569 | [{"role": "user", "question": "<image>$\\Delta EFG$ is equilateral, and $\\overline{E H}$ bisects $\\angle E$. Find $x$.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_01570 | [{"role": "user", "question": "<image>Find $y$ if $\\overline{AD}$ is an altitude of $\\triangle ABC$.", "hint": "", "options": {}, "choices": []}] | 48 | numeric | |
tra_01571 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 102 | numeric | |
tra_01572 | [{"role": "user", "question": "<image>parallelogram MNPQ with $m \\angle M=10 x$ and $m \\angle N=20 x$, find $\\angle P$", "hint": "", "options": {}, "choices": []}] | 60 | numeric | |
tra_01573 | [{"role": "user", "question": "<image>Quadrilateral $A B C D$ is inscribed in $\\odot Z$ such that $m \\angle B Z A=104, m \\widehat{C B}=94,$ and $\\overline{A B} \\| \\overline{D C} .$\r\nFind $m \\angle B D A$", "hint": "", "options": {}, "choices": []}] | 52 | numeric | |
tra_01574 | [{"role": "user", "question": "<image>For trapezoid QRTU, V and S are midpoints of the legs. If QR = 2 and VS = 7, find UT.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01575 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_01576 | [{"role": "user", "question": "<image>Find $m \\angle 3$.", "hint": "", "options": {}, "choices": []}] | 95 | numeric | |
tra_01577 | [{"role": "user", "question": "<image>What is the area of the triangle below? Round your answer to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 171.9 | numeric | |
tra_01578 | [{"role": "user", "question": "<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠4$.", "hint": "", "options": {}, "choices": []}] | 107 | numeric | |
tra_01579 | [{"role": "user", "question": "<image>Find $x$ so that $m || n$.", "hint": "", "options": {}, "choices": []}] | 39 | numeric | |
tra_01580 | [{"role": "user", "question": "<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\\angle 10$.", "hint": "", "options": {}, "choices": []}] | 142 | numeric | |
tra_01581 | [{"role": "user", "question": "<image>For trapezoid $J K L M, A$ and $B$ are midpoints of the legs. If $A B=57$ and $K L=21,$ find $J M$", "hint": "", "options": {}, "choices": []}] | 93 | numeric | |
tra_01582 | [{"role": "user", "question": "<image>Rhombus $MNPQ$ has an area of 375 square inches. If $MP$ is 25 inches, find $NQ$.", "hint": "", "options": {}, "choices": []}] | 30 | numeric | |
tra_01583 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01584 | [{"role": "user", "question": "<image>Find the length of $\\widehat {ZY}$. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 11.34 | numeric | |
tra_01585 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 45 | numeric | |
tra_01586 | [{"role": "user", "question": "<image>Find z", "hint": "", "options": {}, "choices": []}] | 25 | numeric | |
tra_01587 | [{"role": "user", "question": "<image> $m \\widehat{G H}=78$ Find $m\\angle 3$", "hint": "", "options": {}, "choices": []}] | 39 | numeric | |
tra_01588 | [{"role": "user", "question": "<image>Find $m \\angle v$.", "hint": "", "options": {}, "choices": []}] | 76 | numeric | |
tra_01589 | [{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 164 | numeric | |
tra_01590 | [{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 174.4 | numeric | |
tra_01591 | [{"role": "user", "question": "<image>Quadrilateral ABCD is a rectangle. Find y", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_01592 | [{"role": "user", "question": "<image>Use parallelogram ABCD to find $m \\angle BCF $", "hint": "", "options": {}, "choices": []}] | 49 | numeric | |
tra_01593 | [{"role": "user", "question": "<image>$\\overline{AB}$ and $\\overline{CB}$ are tangent to $\\odot D$. Find the value of $x$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_01594 | [{"role": "user", "question": "<image>Find the scale factor from $W$ to $W'$.", "hint": "", "options": {}, "choices": []}] | 2 | numeric | |
tra_01595 | [{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}] | 3 \sqrt { 2 } | open | |
tra_01596 | [{"role": "user", "question": "<image>The segment is tangent to the circle. Find $x$.", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_01597 | [{"role": "user", "question": "<image>$\\overline{E C}$ and $\\overline{A B}$ are diameters of $\\odot O$. Find its measure of $\\widehat{EB}$.", "hint": "", "options": {}, "choices": []}] | 90 | numeric | |
tra_01598 | [{"role": "user", "question": "<image>Find the measure of the altitude drawn to the hypotenuse.", "hint": "", "options": {}, "choices": []}] | 2 \sqrt { 3 } | open | |
tra_01599 | [{"role": "user", "question": "<image>Circle $A$ has diameters $\\overline{D F}$ and $\\overline{P G}$\r\nIf $A G=12,$ find $L A$", "hint": "", "options": {}, "choices": []}] | 12 | numeric |
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