messages listlengths 2 2 | image imagewidth (px) 139 1.6k |
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[
{
"role": "user",
"content": "<image>Find $m \\angle 3$.\n\nChoices:\n15\n16\n18\n20\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purp... | |
[
{
"role": "user",
"content": "<image>Find $AB$.\n\nChoices:\n11\n15\n26\n29\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : Thi... | |
[
{
"role": "user",
"content": "<image>For trapezoid $T R S V, M$ and $N$ are midpoints of the legs. If $V S=21$ and $T R=44,$ find $M N$\n\nChoices:\n21\n32.5\n44\n65\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer... | |
[
{
"role": "user",
"content": "<image>$\\overline{AD}$ and $\\overline{CG}$ are diameters of $\\odot B$. Find $m \\widehat {GCF}$.\n\nChoices:\n35\n295\n305\n325\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in t... | |
[
{
"role": "user",
"content": "<image>$\\triangle RST \\cong \\triangle ABC$. Find $y$.\n\nChoices:\n13\n21\n31\n40\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "as... | |
[
{
"role": "user",
"content": "<image>Find the area of the figure. Round to the nearest tenth if necessary.\n\nChoices:\n190\n1554\n3108\n6216\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer... | |
[
{
"role": "user",
"content": "<image>In the figure, $ \\triangle ABC$ is isosceles, $ \\triangle DCE$ is equilateral, and $ \\triangle FCG$ is isosceles. Find the measures of the $\\angle 3$ at vertex $C$.\n\nChoices:\n22\n26\n27\n28\n\nFirst, the purpose of the problem. Then, provide a description. Next, t... | |
[
{
"role": "user",
"content": "<image>In $\\odot G, m \\angle A G B=30$ and $\\overline{C G} \\perp \\overline{G D}$.\r\nFind $m \\widehat{F D}$\n\nChoices:\n30\n45\n90\n135\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your... | |
[
{
"role": "user",
"content": "<image>Quadrilateral EFGH is a rectangle. If $m\\angle FEG = 57$, find $m\\angle GEH$.\n\nChoices:\n13\n20\n33\n57\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> ans... | |
[
{
"role": "user",
"content": "<image>Find x.\n\nChoices:\n7\n7 \\sqrt { 2 }\n14\n7 \\sqrt { 6 }\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"cont... | |
[
{
"role": "user",
"content": "<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 Atlanta to Des Moines if the total trip was 3482 miles.\n\nChoices:\n73.8\n110\n150\n738\n\nFirst, the purpose of the problem. Then, provid... | |
[
{
"role": "user",
"content": "<image>Find $z$.\n\nChoices:\n12\n13\n14\n15\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : This... | |
[
{
"role": "user",
"content": "<image>If $QV=8$, what it the diameter of $\\odot Q$.\n\nChoices:\n7\n8\n11\n16\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assista... | |
[
{
"role": "user",
"content": "<image>What is the area of the sector?\n\nChoices:\n\\frac { \\pi } { 6 }\n\\frac { \\pi } { 4 }\n\\frac { 3 \\pi } { 5 }\n\\frac { 9 \\pi } { 10 }\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write... | |
[
{
"role": "user",
"content": "<image>If $x=7 \\sqrt{3},$ find $b$\n\nChoices:\n7\n7 \\sqrt { 3 }\n14 \\sqrt { 3 }\n42\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": ... | |
[
{
"role": "user",
"content": "<image>Find $x$.\n\nChoices:\n5\n6\n7\n8\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : This pro... | |
[
{
"role": "user",
"content": "<image>Find x.\n\nChoices:\n42\n44\n46\n48\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : This p... | |
[
{
"role": "user",
"content": "<image>Find the measure of $\\angle 3$.\n\nChoices:\n49\n50\n60\n70\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"co... | |
[
{
"role": "user",
"content": "<image>The area $A$ of the shaded region is given. Find $x$. $A = 128$ ft$^2$ .\n\nChoices:\n4.9\n6.4\n9.8\n19.6\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answe... | |
[
{
"role": "user",
"content": "<image>Find $m \\angle 5$.\n\nChoices:\n53\n75\n85\n88\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purp... | |
[
{
"role": "user",
"content": "<image>Find $UZ$.\n\nChoices:\n12\n18\n24\n32\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : The... | |
[
{
"role": "user",
"content": "<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 $y$.\n\nChoices:\n3\n4\n5\n6\n\nFirst, the purpose of the problem. Then, provide a description. Next, th... | |
[
{
"role": "user",
"content": "<image>$ABCD$ is a rhombus. If $PB = 12$, $AB = 15$, and $m\\angle ABD = 24$. Find $AP$\n\nChoices:\n9\n14\n56\n97\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> an... | |
[
{
"role": "user",
"content": "<image>Find z\n\nChoices:\n2 \\sqrt { 6 }\n\\sqrt { 33 }\n2 \\sqrt { 11 }\n24\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant... | |
[
{
"role": "user",
"content": "<image>Find x.\n\nChoices:\n80\n85\n90\n95\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : The pu... | |
[
{
"role": "user",
"content": "<image>Find x.\n\nChoices:\n4.6\n5.6\n6.6\n7.6\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : Th... | |
[
{
"role": "user",
"content": "<image>Find x\n\nChoices:\n39.8\n42.5\n67.8\n68.9\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose :... | |
[
{
"role": "user",
"content": "<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.\n\nChoices:\n21\n24\n36\n54\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer... | |
[
{
"role": "user",
"content": "<image>Find the area of the figure. Round to the nearest tenth if necessary.\n\nChoices:\n5.9\n57.3\n63.2\n69.1\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer... | |
[
{
"role": "user",
"content": "<image>$\\overline{E C}$ and $\\overline{A B}$ are diameters of $\\odot O$. Find its measure of $\\widehat{A C B}$. \n\nChoices:\n45\n90\n180\n270\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write... | |
[
{
"role": "user",
"content": "<image>Find the area of the sector. Round to the nearest tenth.\n\nChoices:\n16.9\n67.6\n133.5\n201.1\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
... | |
[
{
"role": "user",
"content": "<image>$UJ=9, VJ=3$, and $ZT=18$. Find $YJ$.\n\nChoices:\n3\n4.5\n6\n9\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
... | |
[
{
"role": "user",
"content": "<image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\\angle 6$.\n\nChoices:\n43\n47\n86\n90\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answe... | |
[
{
"role": "user",
"content": "<image> $m \\widehat{G H}=78$ Find $m\\angle 2$\n\nChoices:\n39\n51\n78\n114\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant"... | |
[
{
"role": "user",
"content": "<image>If $\\overline{QR} \\| \\overline{XY}, \\overline{XQ} \\cong \\overline{QZ}$, and $QR=9.5$ units, what is the length of $\\overline{XY}$.\n\nChoices:\n4.75\n9.5\n19\n28.5\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasonin... | |
[
{
"role": "user",
"content": "<image>Find the measure of the altitude drawn to the hypotenuse\n\nChoices:\n6\n12\n16\n24\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role... | |
[
{
"role": "user",
"content": "<image>Find the value of $s$ in the parallelogram.\n\nChoices:\n6\n8\n13\n14\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant"... | |
[
{
"role": "user",
"content": "<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure.\n\nChoices:\n\\frac { 4 } { 25 }\n\\frac { 2 } { 5 }\n\\frac { 5 } { 2 }\n\\frac { 25 } { 4 }\n\nFirst, the purpose of the problem. Then, provide a description.... | |
[
{
"role": "user",
"content": "<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear\r\nto be tangent are tangent.\n\nChoices:\n2\n4\n5\n10\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write you... | |
[
{
"role": "user",
"content": "<image>$MC=7,RM=4$, and $AT=16$. Find $RB$.\n\nChoices:\n6\n8\n12\n15\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"... | |
[
{
"role": "user",
"content": "<image>WXYZ is a parallelogram. Find $m \\angle X W Z$ \n\nChoices:\n33\n65\n82\n115\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "as... | |
[
{
"role": "user",
"content": "<image>Find y\n\nChoices:\n3 \\sqrt { 42 }\n6 \\sqrt { 42 }\n48\n60\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"co... | |
[
{
"role": "user",
"content": "<image>Find x. Round side measures to the nearest tenth.\n\nChoices:\n2.0\n4.1\n7.9\n8.1\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role":... | |
[
{
"role": "user",
"content": "<image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary.\n\nChoices:\n9.2\n12.8\n12.8\n17.3\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format... | |
[
{
"role": "user",
"content": "<image>If $\\overline{GH} \\cong \\overline{HK}$, $\\overline{HJ} \\cong \\overline{YK}$, and $m \\angle GJK=100$, what is the measure of $\\angle HGK$ ?\n\nChoices:\n10\n15\n20\n25\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reas... | |
[
{
"role": "user",
"content": "<image>In the figure, $m ∠1 = 53$. Find the measure of $∠3$.\n\nChoices:\n53\n57\n63\n67\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role":... | |
[
{
"role": "user",
"content": "<image>In $\\odot R, S U=20, Y W=20,$ and $m \\widehat{Y X}=45$.\r\nFind $m\\widehat{S U}$\n\nChoices:\n20\n30\n45\n90\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format ->... | |
[
{
"role": "user",
"content": "<image>$A E$ is a tangent. If $A D=12$ and $F E=18$, how long is $A E$ to the nearest tenth unit?\n\nChoices:\n27.5\n55\n60\n90\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the ... | |
[
{
"role": "user",
"content": "<image>Find z.\n\nChoices:\n6 \\sqrt { 3 }\n12 \\sqrt { 3 }\n18 \\sqrt { 2 }\n36\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assist... | |
[
{
"role": "user",
"content": "<image>$\\triangle K L N$ and $\\triangle L M N$ are isosceles and $m \\angle J K N=130$. Find the measure of $\\angle LNM$.\n\nChoices:\n18\n20\n21\n25\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, ... | |
[
{
"role": "user",
"content": "<image>Find $x$.\n\nChoices:\n6\n9\n12\n15\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : This p... | |
[
{
"role": "user",
"content": "<image>Find y\n\nChoices:\n21.4\n24.1\n32.6\n43.1\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose :... | |
[
{
"role": "user",
"content": "<image>In H, the diameter is $18$, $LM = 12$, and $m \\widehat {LM} = 84$. Find $m \\widehat {LK}$.\n\nChoices:\n21\n42\n63\n84\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the ... | |
[
{
"role": "user",
"content": "<image>Each pair of polygons is similar. Find y\n\nChoices:\n12\n14\n20\n88\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",... | |
[
{
"role": "user",
"content": "<image>Find x.\n\nChoices:\n8\n9\n10\n11\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : The purp... | |
[
{
"role": "user",
"content": "<image>Find $y$ so that each quadrilateral is a parallelogram.\n\nChoices:\n21\n30\n42\n84\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role... | |
[
{
"role": "user",
"content": "<image>Find $x$.\n\nChoices:\n60\n80\n125\n155\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : Th... | |
[
{
"role": "user",
"content": "<image>Find $ED$ if $AE=3, AB=2$, $BC=6,$ and $ED=2x-3$\n\nChoices:\n5\n6\n8\n9\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assista... | |
[
{
"role": "user",
"content": "<image>Use parallelogram JKLM to find $a$ if $J K=2 b+3$ and $J M=3 a$.\n\nChoices:\n7\n14\n21\n45\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
... | |
[
{
"role": "user",
"content": "<image>Quadrilateral ABCD is shown. AC is 40 and BD is $\\frac{3}{5}$ AC . BD bisects AC. For what value of $x$ is ABCD a parallelogram.\n\nChoices:\n0.6\n2.4\n4\n40\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by st... | |
[
{
"role": "user",
"content": "<image>If $P T=y-3, P S=y+2, R S=12,$ and $Q S=16$\r\nsolve for $y$\n\nChoices:\n\\frac { 3 } { 14 }\n\\frac { 2 } { 3 }\n\\frac { 3 } { 2 }\n\\frac { 14 } { 3 }\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. ... | |
[
{
"role": "user",
"content": "<image>Find the area of the figure.\n\nChoices:\n24\n28\n56\n112\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"conte... | |
[
{
"role": "user",
"content": "<image>Find $x$.\n\nChoices:\n5\n7\n8\n26\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : This pr... | |
[
{
"role": "user",
"content": "<image>Find the area of the kite. \n\nChoices:\n28\n44\n72\n144\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"conten... | |
[
{
"role": "user",
"content": "<image>Circle $J$ has a radius of $10$ units, $\\odot K$ has a radius of $8$ units, and $BC=5.4$ units. Find $AB$.\n\nChoices:\n12.6\n14.6\n20.6\n30.6\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, wr... | |
[
{
"role": "user",
"content": "<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear\r\nto be tangent are tangent.\n\nChoices:\n5\n10\n15\n20\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write y... | |
[
{
"role": "user",
"content": "<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.\r\nIf $m \\angle L M P=m \\angle P M N,$ find $m \\angle P J L$\n\nChoices:\n30\n45\n60\n90\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Fi... | |
[
{
"role": "user",
"content": "<image>Use parallelogram ABCD to find $y $\n\nChoices:\n11\n34\n49\n54\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
... | |
[
{
"role": "user",
"content": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.\n\nChoices:\n3.2\n6.4\n12.8\n16\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format ... | |
[
{
"role": "user",
"content": "<image>Find $y$.\n\nChoices:\n8\n11.3\n13.9\n16\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : T... | |
[
{
"role": "user",
"content": "<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\\angle 8$.\n\nChoices:\n57\n113\n123\n133\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> ... | |
[
{
"role": "user",
"content": "<image>Find the area of the figure. Round to the nearest tenth if necessary.\n\nChoices:\n2511\n3348\n4185\n5022\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answe... | |
[
{
"role": "user",
"content": "<image>In $\\odot R, S U=20, Y W=20,$ and $m \\widehat{Y X}=45$.\r\nFind WZ\n\nChoices:\n10\n20\n30\n45\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
... | |
[
{
"role": "user",
"content": "<image>Find y.\n\nChoices:\n10 \\sqrt { 2 }\n5 \\sqrt { 17 }\n25\n5 \\sqrt { 33 }\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assis... | |
[
{
"role": "user",
"content": "<image>Find x\n\nChoices:\n44.9\n46.9\n57.1\n58.1\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose :... | |
[
{
"role": "user",
"content": "<image>Find $x$ in the figure.\n\nChoices:\n13.5\n15\n90\n180\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content"... | |
[
{
"role": "user",
"content": "<image>Find the perimeter of $\\triangle Q R S$ if $\\triangle Q R S \\sim \\triangle Q T P$\n\nChoices:\n9\n14\n21\n42\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -... | |
[
{
"role": "user",
"content": "<image>For the pair of similar figures, use the given areas to find $x$.\n\nChoices:\n7.6\n12.6\n35\n58.3\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
}... | |
[
{
"role": "user",
"content": "<image>Find the perimeter of each polygon for the given information.\n\nChoices:\n2\n10\n30\n60\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
... | |
[
{
"role": "user",
"content": "<image>Find $x$.\n\nChoices:\n5\n10\n15\n20\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : This ... | |
[
{
"role": "user",
"content": "<image>Each pair of polygons is similar. Find x\n\nChoices:\n8\n20\n27\n820\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",... | |
[
{
"role": "user",
"content": "<image>Find $x$.\n\nChoices:\n\\frac { 4 } { 3 }\n\\frac { 13 } { 3 }\n6\n\\frac { 26 } { 3 }\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"r... | |
[
{
"role": "user",
"content": "<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 $\\overline{A C}$\n\nChoices:\n16\n18\n27\n42\n\nFirst, the... | |
[
{
"role": "user",
"content": "<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 $m\\widehat{E B}$\n\nChoices:\n45\n90\n180\n360\n\nFirst, the purpose of the problem. Then, provide a descriptio... | |
[
{
"role": "user",
"content": "<image>Find x.\n\nChoices:\n9\n6 \\sqrt { 6 }\n18\n18 \\sqrt { 2 }\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"con... | |
[
{
"role": "user",
"content": "<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure. \n\nChoices:\n\\frac { 16 } { 25 }\n\\frac { 4 } { 5 }\n\\frac { 5 } { 4 }\n\\frac { 25 } { 16 }\n\nFirst, the purpose of the problem. Then, provide a descripti... | |
[
{
"role": "user",
"content": "<image>Find $RS$.\n\nChoices:\n15\n16\n20\n25\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : The... | |
[
{
"role": "user",
"content": "<image>Find $RS$.\n\nChoices:\n12\n22\n31\n33\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : Thi... | |
[
{
"role": "user",
"content": "<image>Find the exact circumference of the circle.\n\nChoices:\n4.5 \\pi\n9 \\pi\n18 \\pi\n81 \\pi\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
... | |
[
{
"role": "user",
"content": "<image>$\\triangle K L N$ and $\\triangle L M N$ are isosceles and $m \\angle J K N=130$. Find the measure of $\\angle LKN$.\n\nChoices:\n75\n78\n79\n81\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, ... | |
[
{
"role": "user",
"content": "<image>Find the area of the figure. Round to the nearest tenth if necessary.\n\nChoices:\n39.4\n49.0\n68.2\n78.7\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answe... | |
[
{
"role": "user",
"content": "<image>The segment is tangent to the circle. Find $x$.\n\nChoices:\n4\n5\n7\n9\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistan... | |
[
{
"role": "user",
"content": "<image>Use parallelogram NQRM to find NQ\n\nChoices:\n13\n14\n15\n16\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"c... | |
[
{
"role": "user",
"content": "<image>Find $m \\widehat{B X}$\n\nChoices:\n21\n45\n63\n117\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": ... | |
[
{
"role": "user",
"content": "<image>If $m \\widehat{F E}=118, m \\widehat{A B}=108$, $m \\angle E G B=52,$ and $m \\angle E F B=30$\r\nFind $m \\widehat{A C}$\n\nChoices:\n30\n52\n108\n118\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Fi... | |
[
{
"role": "user",
"content": "<image>Find x\n\nChoices:\n22\n24\n43\n68\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : This pr... | |
[
{
"role": "user",
"content": "<image>In the figure, $ \\triangle ABC$ is isosceles, $ \\triangle DCE$ is equilateral, and $ \\triangle FCG$ is isosceles. Find the measure of the $\\angle 2$ at vertex $C$.\n\nChoices:\n14\n16\n17\n18\n\nFirst, the purpose of the problem. Then, provide a description. Next, th... | |
[
{
"role": "user",
"content": "<image>$m \\angle 2=2 x, m \\angle 3=x$ Find $m\\angle 1$\n\nChoices:\n30\n39\n78\n114\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "... | |
[
{
"role": "user",
"content": "<image>Find $TR$.\n\nChoices:\n2\n4\n5\n8\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
"role": "assistant",
"content": "purpose : This pr... | |
[
{
"role": "user",
"content": "<image>In the figure, $m∠4 = 101$. Find the measure of $\\angle 5$.\n\nChoices:\n69\n79\n89\n101\n\nFirst, the purpose of the problem. Then, provide a description. Next, think through your reasoning step by step. Finally, write your answer in the format -> answer:"
},
{
... |
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