- - - MATIX - škola hrou - - -

Nahodny test, priklady s rostouci obtiznosti...

seed: ANA0DQX1VSDJdk3wTwjN_0, bodu=5, $$9 \cdot 9 + 5 - (-6)=\textcolor{white}{92}$$return { ["body"] = 5, ["id"] = "7Ru4sf_0329_0802", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 92, ["jmenovatel"] = 1 }, ["render"] = "\\frac{92}{1}", ["typ"] = "cislo" }, ["tex"] = "92", ["x"] = 92 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "5 - (-6)", ["typ"] = "minus" }, ["render"] = "9 \\cdot 9 + 5 - (-6)", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.01, bodu=5, $$5 \cdot -8 - 9 + 6=\textcolor{white}{-43}$$return { ["body"] = 5, ["id"] = "BxcksU_0329_0802", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -43, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-43}{1}", ["typ"] = "cislo" }, ["tex"] = "-43", ["tex_float"] = "-43", ["x"] = -43 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.01", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -8 - 9", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -8 - 9 + 6", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.02, bodu=10, $$\frac{-3 + 4 - (-6)}{6}=\textcolor{white}{1\frac{1}{6}}$$return { ["body"] = 10, ["id"] = "hrQmZ2_0329_0802", ["obtiznost"] = 0.02, ["reseni"] = { ["float"] = 1.1666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "\\frac{7}{6}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1}{6}", ["x"] = 1, ["y"] = 1, ["z"] = 6 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-3 + 4", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-3 + 4 - (-6)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-3 + 4 - (-6)}{6}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.03, bodu=19, $$\frac{\frac{2\frac{5}{8}}{6}}{-6}=\textcolor{white}{-\frac{7}{96}}$$return { ["body"] = 19, ["id"] = "ZeRDMr_0329_0802", ["obtiznost"] = 0.23, ["reseni"] = { ["float"] = -0.072916666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 96 }, ["render"] = "\\frac{7}{-96}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7}{96}", ["y"] = -7, ["z"] = 96 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.03", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{8}}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{5}{8}}{6}}{-6}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.04, bodu=5, $$-5 + 4 - 10 \cdot 2=\textcolor{white}{-21}$$return { ["body"] = 5, ["id"] = "xCWcwg_0329_0802", ["obtiznost"] = 0.04, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-21}{1}", ["typ"] = "cislo" }, ["tex"] = "-21", ["x"] = -21 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.04", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 2", ["typ"] = "krat" }, ["render"] = "4 - 10 \\cdot 2", ["typ"] = "minus" }, ["render"] = "-5 + 4 - 10 \\cdot 2", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.05, bodu=5, $$8 \cdot (-9 - 8) + 4=\textcolor{white}{-132}$$return { ["body"] = 5, ["id"] = "7miFCB_0329_0802", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -132, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-132}{1}", ["typ"] = "cislo" }, ["tex"] = "-132", ["x"] = -132 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.05", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-9 - 8", ["typ"] = "minus" }, ["render"] = "(-9 - 8)", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (-9 - 8)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "8 \\cdot (-9 - 8) + 4", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.06, bodu=5, $$6 - (-9 - 6 + 11)=\textcolor{white}{10}$$return { ["body"] = 5, ["id"] = "77ayo8_0329_0802", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "\\frac{10}{1}", ["typ"] = "cislo" }, ["tex"] = "10", ["x"] = 10 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.06", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-9 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-9 - 6 + 11", ["typ"] = "plus" }, ["render"] = "(-9 - 6 + 11)", ["typ"] = "zavorka" }, ["render"] = "6 - (-9 - 6 + 11)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.07, bodu=12, $$(\frac{6}{9} \cdot (-2 + 4))^2=\textcolor{white}{1\frac{7}{9}}$$return { ["body"] = 12, ["id"] = "dtO9ew_0329_0802", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = 1.7777777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 9 }, ["render"] = "\\frac{16}{9}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{7}{9}", ["x"] = 1, ["y"] = 7, ["z"] = 9 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.07", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-2 + 4", ["typ"] = "plus" }, ["render"] = "(-2 + 4)", ["typ"] = "zavorka" }, ["render"] = "\\frac{6}{9} \\cdot (-2 + 4)", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(\\frac{6}{9} \\cdot (-2 + 4))^2", ["typ"] = "mocnina" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.08, bodu=23, $$1\frac{1}{6} \cdot 3 \cdot (-5 + 5)=\textcolor{white}{0}$$return { ["body"] = 23, ["id"] = "Q5xLvA_0329_0802", ["obtiznost"] = 0.28, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{2}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.08", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{6} \\cdot 3", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-5 + 5", ["typ"] = "plus" }, ["render"] = "(-5 + 5)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{6} \\cdot 3 \\cdot (-5 + 5)", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.09, bodu=12, $$\frac{7}{-8 \cdot 8}=\textcolor{white}{-\frac{7}{64}}$$return { ["body"] = 12, ["id"] = "cMxarj_0329_0802", ["obtiznost"] = 0.09, ["reseni"] = { ["float"] = -0.109375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 64 }, ["render"] = "\\frac{7}{-64}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7}{64}", ["y"] = -7, ["z"] = 64 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.09", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 8", ["typ"] = "krat" }, ["render"] = "\\frac{7}{-8 \\cdot 8}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.1, bodu=12, $$\frac{7}{\frac{9}{7}}=\textcolor{white}{5\frac{4}{9}}$$return { ["body"] = 12, ["id"] = "D6xYoI_0329_0802", ["obtiznost"] = 0.1, ["reseni"] = { ["float"] = 5.4444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 9 }, ["render"] = "\\frac{49}{9}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{4}{9}", ["x"] = 5, ["y"] = 4, ["z"] = 9 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7}{\\frac{9}{7}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.11, bodu=6, $$(4 + 4 + 10) \cdot 9=\textcolor{white}{162}$$return { ["body"] = 6, ["id"] = "2h1InT_0329_0802", ["obtiznost"] = 0.11, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 162, ["jmenovatel"] = 1 }, ["render"] = "\\frac{162}{1}", ["typ"] = "cislo" }, ["tex"] = "162", ["x"] = 162 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.11", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "4 + 4", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4 + 4 + 10", ["typ"] = "plus" }, ["render"] = "(4 + 4 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(4 + 4 + 10) \\cdot 9", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.12, bodu=6, $$(5 + 10) \cdot -6 \cdot 11=\textcolor{white}{-990}$$return { ["body"] = 6, ["id"] = "aj2Q7x_0329_0802", ["obtiznost"] = 0.12, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -990, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-990}{1}", ["typ"] = "cislo" }, ["tex"] = "-990", ["x"] = -990 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.12", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "5 + 10", ["typ"] = "plus" }, ["render"] = "(5 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 11", ["typ"] = "krat" }, ["render"] = "(5 + 10) \\cdot -6 \\cdot 11", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.13, bodu=27, $$\frac{\frac{9}{3\frac{1}{3}}}{7}=\textcolor{white}{\frac{27}{70}}$$return { ["body"] = 27, ["id"] = "Dx4gWU_0329_0802", ["obtiznost"] = 0.33, ["reseni"] = { ["float"] = 0.38571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 70 }, ["render"] = "\\frac{27}{70}", ["typ"] = "cislo" }, ["tex"] = "\\frac{27}{70}", ["y"] = 27, ["z"] = 70 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.13", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{3\\frac{1}{3}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{9}{3\\frac{1}{3}}}{7}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.14, bodu=57, $$(1\frac{5}{8} - 5)^2 + \frac{12}{9}=\textcolor{white}{12\frac{139}{192}}$$return { ["body"] = 57, ["id"] = "3qH7Tj_0329_0802", ["obtiznost"] = 0.6572, ["reseni"] = { ["float"] = 12.723958333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2443, ["jmenovatel"] = 192 }, ["render"] = "\\frac{2443}{192}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{139}{192}", ["x"] = 12, ["y"] = 139, ["z"] = 192 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.14", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} - 5", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{5}{8} - 5)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{9}", ["typ"] = "lomeno" }, ["render"] = "(1\\frac{5}{8} - 5)^2 + \\frac{12}{9}", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.15, bodu=15, $$\frac{10}{10 + 6 + (-9)}=\textcolor{white}{1\frac{3}{7}}$$return { ["body"] = 15, ["id"] = "AfMWtR_0329_0802", ["obtiznost"] = 0.15, ["reseni"] = { ["float"] = 1.4285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "\\frac{10}{7}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{3}{7}", ["x"] = 1, ["y"] = 3, ["z"] = 7 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.15", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "6 + (-9)", ["typ"] = "plus" }, ["render"] = "10 + 6 + (-9)", ["typ"] = "plus" }, ["render"] = "\\frac{10}{10 + 6 + (-9)}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.16, bodu=7, $$9 + 5 \cdot (-6 - (-10))=\textcolor{white}{29}$$return { ["body"] = 7, ["id"] = "zGC9Zo_0329_0802", ["obtiznost"] = 0.16, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 1 }, ["render"] = "\\frac{29}{1}", ["typ"] = "cislo" }, ["tex"] = "29", ["tex_float"] = "29", ["x"] = 29 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-6 - (-10)", ["typ"] = "minus" }, ["render"] = "(-6 - (-10))", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot (-6 - (-10))", ["typ"] = "krat" }, ["render"] = "9 + 5 \\cdot (-6 - (-10))", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.17, bodu=16, $$\frac{5 + 6}{7 + 3 - 6}=\textcolor{white}{2{,}75}$$return { ["body"] = 16, ["id"] = "wEJYWP_0329_0802", ["obtiznost"] = 0.17, ["reseni"] = { ["float"] = 2.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "\\frac{11}{4}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{3}{4}", ["tex_float"] = "2{,}75", ["x"] = 2, ["y"] = 3, ["z"] = 4 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.17", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 + 6", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "7 + 3", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 + 3 - 6", ["typ"] = "minus" }, ["render"] = "\\frac{5 + 6}{7 + 3 - 6}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.18, bodu=8, $$-9 + (13 - 8)^2 - 9=\textcolor{white}{7}$$return { ["body"] = 8, ["id"] = "9PueHZ_0329_0802", ["obtiznost"] = 0.1904, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "\\frac{7}{1}", ["typ"] = "cislo" }, ["tex"] = "7", ["tex_float"] = "7", ["x"] = 7 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "13 - 8", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(13 - 8)^2", ["typ"] = "mocnina" }, ["render"] = "-9 + (13 - 8)^2", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-9 + (13 - 8)^2 - 9", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.19, bodu=26, $$7 \cdot (-6 - (\frac{-8}{6})^4)=\textcolor{white}{-64\frac{10}{81}}$$return { ["body"] = 26, ["id"] = "pQzmww_0329_0802", ["obtiznost"] = 0.3248, ["reseni"] = { ["float"] = -64.123456790123, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5194, ["jmenovatel"] = 81 }, ["render"] = "\\frac{-5194}{81}", ["typ"] = "cislo" }, ["tex"] = "-64\\frac{10}{81}", ["x"] = -64, ["y"] = 10, ["z"] = 81 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-8}{6})^4", ["typ"] = "mocnina" }, ["render"] = "-6 - (\\frac{-8}{6})^4", ["typ"] = "minus" }, ["render"] = "(-6 - (\\frac{-8}{6})^4)", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (-6 - (\\frac{-8}{6})^4)", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.2, bodu=18, $$\frac{-13}{9} + \frac{8}{11}=\textcolor{white}{-\frac{71}{99}}$$return { ["body"] = 18, ["id"] = "WKgYnx_0329_0802", ["obtiznost"] = 0.2, ["reseni"] = { ["float"] = -0.71717171717172, ["objekt"] = { ["hodnota"] = { ["citatel"] = -71, ["jmenovatel"] = 99 }, ["render"] = "\\frac{-71}{99}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{71}{99}", ["y"] = -71, ["z"] = 99 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.2", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-13}{9} + \\frac{8}{11}", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.21, bodu=9, $$6 + (8 + 10) \cdot 7 - 3=\textcolor{white}{129}$$return { ["body"] = 9, ["id"] = "AGuHJR_0329_0802", ["obtiznost"] = 0.21, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 129, ["jmenovatel"] = 1 }, ["render"] = "\\frac{129}{1}", ["typ"] = "cislo" }, ["tex"] = "129", ["x"] = 129 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.21", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 + 10", ["typ"] = "plus" }, ["render"] = "(8 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(8 + 10) \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "(8 + 10) \\cdot 7 - 3", ["typ"] = "minus" }, ["render"] = "6 + (8 + 10) \\cdot 7 - 3", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.22, bodu=34, $$\frac{9}{(6 - 8) \cdot 2\frac{1}{3}}=\textcolor{white}{-1\frac{13}{14}}$$return { ["body"] = 34, ["id"] = "Ss20b9_0329_0802", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = -1.9285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -27, ["jmenovatel"] = 14 }, ["render"] = "\\frac{27}{-14}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{13}{14}", ["x"] = -1, ["y"] = 13, ["z"] = 14 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.22", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "6 - 8", ["typ"] = "minus" }, ["render"] = "(6 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "(6 - 8) \\cdot 2\\frac{1}{3}", ["typ"] = "krat" }, ["render"] = "\\frac{9}{(6 - 8) \\cdot 2\\frac{1}{3}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.23, bodu=35, $$8 \cdot (1\frac{2}{7} + \frac{5}{11})=\textcolor{white}{13\frac{71}{77}}$$return { ["body"] = 35, ["id"] = "E1vGj2_0329_0802", ["obtiznost"] = 0.43, ["reseni"] = { ["float"] = 13.922077922078, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1072, ["jmenovatel"] = 77 }, ["render"] = "\\frac{1072}{77}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{71}{77}", ["x"] = 13, ["y"] = 71, ["z"] = 77 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.23", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{11}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{7} + \\frac{5}{11}", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{7} + \\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (1\\frac{2}{7} + \\frac{5}{11})", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.24, bodu=82, $$(7 + (\frac{2\frac{4}{5}}{2\frac{2}{5}})^3 + 8) \cdot 10=\textcolor{white}{165\frac{95}{108}}$$return { ["body"] = 82, ["id"] = "k4VqAT_0329_0802", ["obtiznost"] = 0.8636, ["reseni"] = { ["float"] = 165.87962962963, ["objekt"] = { ["hodnota"] = { ["citatel"] = 17915, ["jmenovatel"] = 108 }, ["render"] = "\\frac{35830}{216}", ["typ"] = "cislo" }, ["tex"] = "165\\frac{95}{108}", ["x"] = 165, ["y"] = 95, ["z"] = 108 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.24", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{5}}{2\\frac{2}{5}}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{2\\frac{4}{5}}{2\\frac{2}{5}})^3", ["typ"] = "mocnina" }, ["render"] = "7 + (\\frac{2\\frac{4}{5}}{2\\frac{2}{5}})^3", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 + (\\frac{2\\frac{4}{5}}{2\\frac{2}{5}})^3 + 8", ["typ"] = "plus" }, ["render"] = "(7 + (\\frac{2\\frac{4}{5}}{2\\frac{2}{5}})^3 + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(7 + (\\frac{2\\frac{4}{5}}{2\\frac{2}{5}})^3 + 8) \\cdot 10", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.25, bodu=21, $$5 - (\frac{8}{-12} + 7 - 12)=\textcolor{white}{10\frac{2}{3}}$$return { ["body"] = 21, ["id"] = "hyeQlz_0329_0802", ["obtiznost"] = 0.25, ["reseni"] = { ["float"] = 10.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 3 }, ["render"] = "\\frac{32}{3}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{2}{3}", ["x"] = 10, ["y"] = 2, ["z"] = 3 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.25", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-12} + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-12} + 7 - 12", ["typ"] = "minus" }, ["render"] = "(\\frac{8}{-12} + 7 - 12)", ["typ"] = "zavorka" }, ["render"] = "5 - (\\frac{8}{-12} + 7 - 12)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.26, bodu=21, $$\frac{14}{\frac{4 \cdot 10}{6}}=\textcolor{white}{2{,}1}$$return { ["body"] = 21, ["id"] = "IP8xCa_0329_0802", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = 2.1, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "\\frac{42}{20}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{1}{10}", ["tex_float"] = "2{,}1", ["x"] = 2, ["y"] = 1, ["z"] = 10 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{4 \\cdot 10}{6}", ["typ"] = "lomeno" }, ["render"] = "\\frac{14}{\\frac{4 \\cdot 10}{6}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.27, bodu=22, $$\frac{-12}{4} \cdot \frac{-11}{8}=\textcolor{white}{4{,}125}$$return { ["body"] = 22, ["id"] = "AuQCPR_0329_0802", ["obtiznost"] = 0.27, ["reseni"] = { ["float"] = 4.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "\\frac{33}{8}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{1}{8}", ["tex_float"] = "4{,}125", ["x"] = 4, ["y"] = 1, ["z"] = 8 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.27", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{4}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{8}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-12}{4} \\cdot \\frac{-11}{8}", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.28, bodu=39, $$\frac{7 + 9}{4 + 12 \cdot 4\frac{4}{8}}=\textcolor{white}{\frac{8}{29}}$$return { ["body"] = 39, ["id"] = "YfUIUq_0329_0802", ["obtiznost"] = 0.48, ["reseni"] = { ["float"] = 0.27586206896552, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 29 }, ["render"] = "\\frac{16}{58}", ["typ"] = "cislo" }, ["tex"] = "\\frac{8}{29}", ["y"] = 8, ["z"] = 29 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 4\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "4 + 12 \\cdot 4\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "\\frac{7 + 9}{4 + 12 \\cdot 4\\frac{4}{8}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.29, bodu=24, $$13 - \frac{-6 + 8}{-10} + (-10)=\textcolor{white}{3{,}2}$$return { ["body"] = 24, ["id"] = "u05DDB_0329_0802", ["obtiznost"] = 0.29, ["reseni"] = { ["float"] = 3.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "\\frac{16}{5}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{1}{5}", ["tex_float"] = "3{,}2", ["x"] = 3, ["y"] = 1, ["z"] = 5 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.29", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-6 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-6 + 8}{-10}", ["typ"] = "lomeno" }, ["render"] = "13 - \\frac{-6 + 8}{-10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "13 - \\frac{-6 + 8}{-10} + (-10)", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.3, bodu=62, $$2\frac{1}{3} \cdot (8 + 7 - (11 + 1\frac{4}{9}))=\textcolor{white}{5\frac{26}{27}}$$return { ["body"] = 62, ["id"] = "Yt8HWx_0329_0802", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = 5.962962962963, ["objekt"] = { ["hodnota"] = { ["citatel"] = 161, ["jmenovatel"] = 27 }, ["render"] = "\\frac{161}{27}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{26}{27}", ["x"] = 5, ["y"] = 26, ["z"] = 27 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.3", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "11 + 1\\frac{4}{9}", ["typ"] = "plus" }, ["render"] = "(11 + 1\\frac{4}{9})", ["typ"] = "zavorka" }, ["render"] = "7 - (11 + 1\\frac{4}{9})", ["typ"] = "minus" }, ["render"] = "8 + 7 - (11 + 1\\frac{4}{9})", ["typ"] = "plus" }, ["render"] = "(8 + 7 - (11 + 1\\frac{4}{9}))", ["typ"] = "zavorka" }, ["render"] = "2\\frac{1}{3} \\cdot (8 + 7 - (11 + 1\\frac{4}{9}))", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.31, bodu=25, $$\frac{(-7 + (-11 - (-10 - 11)))^2}{-7}=\textcolor{white}{-1\frac{2}{7}}$$return { ["body"] = 25, ["id"] = "Y5aCUW_0329_0802", ["obtiznost"] = 0.314, ["reseni"] = { ["float"] = -1.2857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 7 }, ["render"] = "\\frac{9}{-7}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{2}{7}", ["x"] = -1, ["y"] = 2, ["z"] = 7 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.31", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-10 - 11", ["typ"] = "minus" }, ["render"] = "(-10 - 11)", ["typ"] = "zavorka" }, ["render"] = "-11 - (-10 - 11)", ["typ"] = "minus" }, ["render"] = "-7 + (-11 - (-10 - 11))", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-7 + (-11 - (-10 - 11)))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{(-7 + (-11 - (-10 - 11)))^2}{-7}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.32, bodu=62, $$\frac{2\frac{1}{5}}{(-12 - 9)^2} \cdot -11=\textcolor{white}{-\frac{121}{2205}}$$return { ["body"] = 62, ["id"] = "bU2nqV_0329_0802", ["obtiznost"] = 0.6968, ["reseni"] = { ["float"] = -0.054875283446712, ["objekt"] = { ["hodnota"] = { ["citatel"] = -121, ["jmenovatel"] = 2205 }, ["render"] = "\\frac{-121}{2205}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{121}{2205}", ["y"] = -121, ["z"] = 2205 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-12 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-12 - 9)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{2\\frac{1}{5}}{(-12 - 9)^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{5}}{(-12 - 9)^2} \\cdot -11", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.33, bodu=13, $$(12 - (-6) - 10 \cdot 2)^4=\textcolor{white}{16}$$return { ["body"] = 13, ["id"] = "VAKJFO_0329_0802", ["obtiznost"] = 0.3368, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "\\frac{16}{1}", ["typ"] = "cislo" }, ["tex"] = "16", ["tex_float"] = "16", ["x"] = 16 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.33", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "12 - (-6)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 2", ["typ"] = "krat" }, ["render"] = "12 - (-6) - 10 \\cdot 2", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(12 - (-6) - 10 \\cdot 2)^4", ["typ"] = "mocnina" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.34, bodu=56, $$1\frac{1}{5} - 11 - (5 - (5 + 11)^2)=\textcolor{white}{241{,}2}$$return { ["body"] = 56, ["id"] = "yWIkpf_0329_0802", ["obtiznost"] = 0.6428, ["reseni"] = { ["float"] = 241.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1206, ["jmenovatel"] = 5 }, ["render"] = "\\frac{1206}{5}", ["typ"] = "cislo" }, ["tex"] = "241\\frac{1}{5}", ["tex_float"] = "241{,}2", ["x"] = 241, ["y"] = 1, ["z"] = 5 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} - 11", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "5 + 11", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(5 + 11)^2", ["typ"] = "mocnina" }, ["render"] = "5 - (5 + 11)^2", ["typ"] = "minus" }, ["render"] = "(5 - (5 + 11)^2)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{5} - 11 - (5 - (5 + 11)^2)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.35, bodu=46, $$6 - (-12 \cdot 9 \cdot 4\frac{2}{4})=\textcolor{white}{492}$$return { ["body"] = 46, ["id"] = "J333qt_0329_0802", ["obtiznost"] = 0.55, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 492, ["jmenovatel"] = 1 }, ["render"] = "\\frac{492}{1}", ["typ"] = "cislo" }, ["tex"] = "492", ["x"] = 492 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 9 \\cdot 4\\frac{2}{4}", ["typ"] = "krat" }, ["render"] = "6 - (-12 \\cdot 9 \\cdot 4\\frac{2}{4})", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.36, bodu=19, $$8 + (9 - (-7))^2 + 8 - (-8)=\textcolor{white}{280}$$return { ["body"] = 19, ["id"] = "kKFuzE_0329_0802", ["obtiznost"] = 0.4628, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 280, ["jmenovatel"] = 1 }, ["render"] = "\\frac{280}{1}", ["typ"] = "cislo" }, ["tex"] = "280", ["x"] = 280 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.36", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "9 - (-7)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(9 - (-7))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "8 - (-8)", ["typ"] = "minus" }, ["render"] = "(9 - (-7))^2 + 8 - (-8)", ["typ"] = "plus" }, ["render"] = "8 + (9 - (-7))^2 + 8 - (-8)", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.37, bodu=120, $$(6 + 4\frac{5}{9}) \cdot (\frac{-6}{1\frac{2}{5}})^2=\textcolor{white}{193\frac{43}{49}}$$return { ["body"] = 120, ["id"] = "snnLkW_0329_0802", ["obtiznost"] = 1.1496, ["reseni"] = { ["float"] = 193.87755102041, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9500, ["jmenovatel"] = 49 }, ["render"] = "\\frac{85500}{441}", ["typ"] = "cislo" }, ["tex"] = "193\\frac{43}{49}", ["x"] = 193, ["y"] = 43, ["z"] = 49 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.37", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "6 + 4\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "(6 + 4\\frac{5}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{1\\frac{2}{5}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-6}{1\\frac{2}{5}})^2", ["typ"] = "mocnina" }, ["render"] = "(6 + 4\\frac{5}{9}) \\cdot (\\frac{-6}{1\\frac{2}{5}})^2", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.38, bodu=49, $$\frac{3\frac{1}{2} \cdot 3}{10 + 10}=\textcolor{white}{0{,}525}$$return { ["body"] = 49, ["id"] = "N3gUgf_0329_0802", ["obtiznost"] = 0.58, ["reseni"] = { ["float"] = 0.525, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 40 }, ["render"] = "\\frac{21}{40}", ["typ"] = "cislo" }, ["tex"] = "\\frac{21}{40}", ["tex_float"] = "0{,}525", ["y"] = 21, ["z"] = 40 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{1}{2}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{2} \\cdot 3", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "10 + 10", ["typ"] = "plus" }, ["render"] = "\\frac{3\\frac{1}{2} \\cdot 3}{10 + 10}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.39, bodu=77, $$-4 - ((-6 + 4)^4 \cdot (4\frac{1}{4} - 4\frac{1}{2}))^3=\textcolor{white}{60}$$return { ["body"] = 77, ["id"] = "bMzjr1_0329_0802", ["obtiznost"] = 0.8228, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 60, ["jmenovatel"] = 1 }, ["render"] = "\\frac{60}{1}", ["typ"] = "cislo" }, ["tex"] = "60", ["x"] = 60 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.39", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-6 + 4", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-6 + 4)^4", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{4} - 4\\frac{1}{2}", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{4} - 4\\frac{1}{2})", ["typ"] = "zavorka" }, ["render"] = "(-6 + 4)^4 \\cdot (4\\frac{1}{4} - 4\\frac{1}{2})", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "((-6 + 4)^4 \\cdot (4\\frac{1}{4} - 4\\frac{1}{2}))^3", ["typ"] = "mocnina" }, ["render"] = "-4 - ((-6 + 4)^4 \\cdot (4\\frac{1}{4} - 4\\frac{1}{2}))^3", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.4, bodu=100, $$\frac{\frac{-4 + (-8 + 1\frac{5}{11})}{1\frac{5}{11}}}{1\frac{1}{6}}=\textcolor{white}{-6\frac{3}{14}}$$return { ["body"] = 100, ["id"] = "7TpQTp_0329_0802", ["obtiznost"] = 1, ["reseni"] = { ["float"] = -6.2142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -87, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-174}{28}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{3}{14}", ["x"] = -6, ["y"] = 3, ["z"] = 14 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-8 + 1\\frac{5}{11}", ["typ"] = "plus" }, ["render"] = "-4 + (-8 + 1\\frac{5}{11})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-4 + (-8 + 1\\frac{5}{11})}{1\\frac{5}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-4 + (-8 + 1\\frac{5}{11})}{1\\frac{5}{11}}}{1\\frac{1}{6}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.41, bodu=75, $$\frac{1\frac{2}{8} \cdot (10 + 2\frac{4}{8})}{-14 \cdot -11}=\textcolor{white}{\frac{125}{1232}}$$return { ["body"] = 75, ["id"] = "1bm0Xf_0329_0802", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = 0.10146103896104, ["objekt"] = { ["hodnota"] = { ["citatel"] = 125, ["jmenovatel"] = 1232 }, ["render"] = "\\frac{125}{1232}", ["typ"] = "cislo" }, ["tex"] = "\\frac{125}{1232}", ["y"] = 125, ["z"] = 1232 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "10 + 2\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "(10 + 2\\frac{4}{8})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{8} \\cdot (10 + 2\\frac{4}{8})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -11", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{2}{8} \\cdot (10 + 2\\frac{4}{8})}{-14 \\cdot -11}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.42, bodu=53, $$\frac{1\frac{4}{11} - 7 - 11 + 7}{-6}=\textcolor{white}{1\frac{20}{33}}$$return { ["body"] = 53, ["id"] = "SCdkQb_0329_0802", ["obtiznost"] = 0.62, ["reseni"] = { ["float"] = 1.6060606060606, ["objekt"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 33 }, ["render"] = "\\frac{-106}{-66}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{20}{33}", ["x"] = 1, ["y"] = 20, ["z"] = 33 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{11} - 7", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{11} - 7 - 11", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{11} - 7 - 11 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{11} - 7 - 11 + 7}{-6}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.43, bodu=38, $$(7 + 1\frac{1}{1})^2 \cdot 10 \cdot (-6 + 5)^2=\textcolor{white}{810}$$return { ["body"] = 38, ["id"] = "oydAkw_0329_0802", ["obtiznost"] = 0.4636, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 810, ["jmenovatel"] = 1 }, ["render"] = "\\frac{810}{1}", ["typ"] = "cislo" }, ["tex"] = "810", ["tex_float"] = "810", ["x"] = 810 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.43", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "1\\frac{1}{1}", ["typ"] = "cislo" }, ["render"] = "7 + 1\\frac{1}{1}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(7 + 1\\frac{1}{1})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-6 + 5", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-6 + 5)^2", ["typ"] = "mocnina" }, ["render"] = "10 \\cdot (-6 + 5)^2", ["typ"] = "krat" }, ["render"] = "(7 + 1\\frac{1}{1})^2 \\cdot 10 \\cdot (-6 + 5)^2", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.44, bodu=134, $$\frac{9 + 5 + 4\frac{1}{6} + 3\frac{3}{7} \cdot 3\frac{5}{8}}{4\frac{4}{10}}=\textcolor{white}{6\frac{881}{924}}$$return { ["body"] = 134, ["id"] = "P6vHhr_0329_0802", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = 6.9534632034632, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6425, ["jmenovatel"] = 924 }, ["render"] = "\\frac{6425}{924}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{881}{924}", ["x"] = 6, ["y"] = 881, ["z"] = 924 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "9 + 5", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "9 + 5 + 4\\frac{1}{6}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{7} \\cdot 3\\frac{5}{8}", ["typ"] = "krat" }, ["render"] = "9 + 5 + 4\\frac{1}{6} + 3\\frac{3}{7} \\cdot 3\\frac{5}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{9 + 5 + 4\\frac{1}{6} + 3\\frac{3}{7} \\cdot 3\\frac{5}{8}}{4\\frac{4}{10}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.45, bodu=57, $$3\frac{2}{9} \cdot 9 - (-13 \cdot 10) + 10=\textcolor{white}{169}$$return { ["body"] = 57, ["id"] = "qGdQCC_0329_0802", ["obtiznost"] = 0.65, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 169, ["jmenovatel"] = 1 }, ["render"] = "\\frac{169}{1}", ["typ"] = "cislo" }, ["tex"] = "169", ["tex_float"] = "169", ["x"] = 169 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{9} \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 10", ["typ"] = "krat" }, ["render"] = "3\\frac{2}{9} \\cdot 9 - (-13 \\cdot 10)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{9} \\cdot 9 - (-13 \\cdot 10) + 10", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.46, bodu=58, $$12 - \frac{13 + 6}{4\frac{1}{6} \cdot -11}=\textcolor{white}{12\frac{114}{275}}$$return { ["body"] = 58, ["id"] = "ujan3s_0329_0802", ["obtiznost"] = 0.66, ["reseni"] = { ["float"] = 12.414545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3414, ["jmenovatel"] = 275 }, ["render"] = "\\frac{3414}{275}", ["typ"] = "cislo" }, ["tex"] = "12\\frac{114}{275}", ["x"] = 12, ["y"] = 114, ["z"] = 275 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.46", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "13 + 6", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{6} \\cdot -11", ["typ"] = "krat" }, ["render"] = "\\frac{13 + 6}{4\\frac{1}{6} \\cdot -11}", ["typ"] = "lomeno" }, ["render"] = "12 - \\frac{13 + 6}{4\\frac{1}{6} \\cdot -11}", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.47, bodu=83, $$3\frac{4}{6} + (-9) + 15 - (7 + 1\frac{3}{7}) \cdot -6=\textcolor{white}{60\frac{5}{21}}$$return { ["body"] = 83, ["id"] = "cnXs6p_0329_0802", ["obtiznost"] = 0.87, ["reseni"] = { ["float"] = 60.238095238095, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1265, ["jmenovatel"] = 21 }, ["render"] = "\\frac{1265}{21}", ["typ"] = "cislo" }, ["tex"] = "60\\frac{5}{21}", ["x"] = 60, ["y"] = 5, ["z"] = 21 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.47", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{6} + (-9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{6} + (-9) + 15", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "7 + 1\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "(7 + 1\\frac{3}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "(7 + 1\\frac{3}{7}) \\cdot -6", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{6} + (-9) + 15 - (7 + 1\\frac{3}{7}) \\cdot -6", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.48, bodu=43, $$\frac{11 + (14 + (-7))^2}{(\frac{15}{-10})^3}=\textcolor{white}{-17\frac{7}{9}}$$return { ["body"] = 43, ["id"] = "ih8ExY_0329_0802", ["obtiznost"] = 0.514, ["reseni"] = { ["float"] = -17.777777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = -160, ["jmenovatel"] = 9 }, ["render"] = "\\frac{480}{-27}", ["typ"] = "cislo" }, ["tex"] = "-17\\frac{7}{9}", ["x"] = -17, ["y"] = 7, ["z"] = 9 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "14 + (-7)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(14 + (-7))^2", ["typ"] = "mocnina" }, ["render"] = "11 + (14 + (-7))^2", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-10}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{15}{-10})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{11 + (14 + (-7))^2}{(\\frac{15}{-10})^3}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.49, bodu=147, $$4\frac{5}{7} + 1\frac{4}{7} - (1\frac{2}{8} + (\frac{6}{9})^4) + 1\frac{2}{9}=\textcolor{white}{6\frac{137}{2268}}$$return { ["body"] = 147, ["id"] = "Q8fT1L_0329_0802", ["obtiznost"] = 1.3288, ["reseni"] = { ["float"] = 6.060405643739, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13745, ["jmenovatel"] = 2268 }, ["render"] = "\\frac{123705}{20412}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{137}{2268}", ["x"] = 6, ["y"] = 137, ["z"] = 2268 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{9}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{6}{9})^4", ["typ"] = "mocnina" }, ["render"] = "1\\frac{2}{8} + (\\frac{6}{9})^4", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{8} + (\\frac{6}{9})^4)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{4}{7} - (1\\frac{2}{8} + (\\frac{6}{9})^4)", ["typ"] = "minus" }, ["render"] = "4\\frac{5}{7} + 1\\frac{4}{7} - (1\\frac{2}{8} + (\\frac{6}{9})^4)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{7} + 1\\frac{4}{7} - (1\\frac{2}{8} + (\\frac{6}{9})^4) + 1\\frac{2}{9}", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.5, bodu=113, $$\frac{4\frac{3}{5} + \frac{\frac{1\frac{4}{9}}{8}}{-14}}{4\frac{2}{6}}=\textcolor{white}{1\frac{1279}{21840}}$$return { ["body"] = 113, ["id"] = "IhCueH_0329_0802", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = 1.0585622710623, ["objekt"] = { ["hodnota"] = { ["citatel"] = 23119, ["jmenovatel"] = 21840 }, ["render"] = "\\frac{69357}{65520}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1279}{21840}", ["x"] = 1, ["y"] = 1279, ["z"] = 21840 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{9}}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{4}{9}}{8}}{-14}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{3}{5} + \\frac{\\frac{1\\frac{4}{9}}{8}}{-14}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{5} + \\frac{\\frac{1\\frac{4}{9}}{8}}{-14}}{4\\frac{2}{6}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.51, bodu=75, $$\frac{(\frac{16}{4})^4 \cdot (2\frac{5}{6} - 5)}{16}=\textcolor{white}{-34\frac{2}{3}}$$return { ["body"] = 75, ["id"] = "SU40xo_0329_0802", ["obtiznost"] = 0.8128, ["reseni"] = { ["float"] = -34.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -104, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-1664}{48}", ["typ"] = "cislo" }, ["tex"] = "-34\\frac{2}{3}", ["x"] = -34, ["y"] = 2, ["z"] = 3 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{4}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{16}{4})^4", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{6} - 5", ["typ"] = "minus" }, ["render"] = "(2\\frac{5}{6} - 5)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{16}{4})^4 \\cdot (2\\frac{5}{6} - 5)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{16}{4})^4 \\cdot (2\\frac{5}{6} - 5)}{16}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.52, bodu=89, $$-8 - (1\frac{4}{7} + (-9) + \frac{3\frac{3}{7}}{13}) - 6=\textcolor{white}{-6\frac{76}{91}}$$return { ["body"] = 89, ["id"] = "r42y6K_0329_0802", ["obtiznost"] = 0.92, ["reseni"] = { ["float"] = -6.8351648351648, ["objekt"] = { ["hodnota"] = { ["citatel"] = -622, ["jmenovatel"] = 91 }, ["render"] = "\\frac{-622}{91}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{76}{91}", ["x"] = -6, ["y"] = 76, ["z"] = 91 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} + (-9)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{7}}{13}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{4}{7} + (-9) + \\frac{3\\frac{3}{7}}{13}", ["typ"] = "plus" }, ["render"] = "(1\\frac{4}{7} + (-9) + \\frac{3\\frac{3}{7}}{13})", ["typ"] = "zavorka" }, ["render"] = "-8 - (1\\frac{4}{7} + (-9) + \\frac{3\\frac{3}{7}}{13})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-8 - (1\\frac{4}{7} + (-9) + \\frac{3\\frac{3}{7}}{13}) - 6", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.53, bodu=102, $$(13 \cdot \frac{4\frac{2}{7}}{15})^2 \cdot -12=\textcolor{white}{-165\frac{27}{49}}$$return { ["body"] = 102, ["id"] = "VVP7Cy_0329_0802", ["obtiznost"] = 1.02, ["reseni"] = { ["float"] = -165.55102040816, ["objekt"] = { ["hodnota"] = { ["citatel"] = -8112, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-8112}{49}", ["typ"] = "cislo" }, ["tex"] = "-165\\frac{27}{49}", ["x"] = -165, ["y"] = 27, ["z"] = 49 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.53", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{7}}{15}", ["typ"] = "lomeno" }, ["render"] = "13 \\cdot \\frac{4\\frac{2}{7}}{15}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(13 \\cdot \\frac{4\\frac{2}{7}}{15})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(13 \\cdot \\frac{4\\frac{2}{7}}{15})^2 \\cdot -12", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.54, bodu=119, $$-13 - \frac{-12 + 4\frac{3}{7}}{2\frac{1}{4}} \cdot 2\frac{1}{8}=\textcolor{white}{-5\frac{107}{126}}$$return { ["body"] = 119, ["id"] = "Ddzd3M_0329_0802", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = -5.8492063492063, ["objekt"] = { ["hodnota"] = { ["citatel"] = -737, ["jmenovatel"] = 126 }, ["render"] = "\\frac{-737}{126}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{107}{126}", ["x"] = -5, ["y"] = 107, ["z"] = 126 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.54", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "-12 + 4\\frac{3}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 + 4\\frac{3}{7}}{2\\frac{1}{4}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 + 4\\frac{3}{7}}{2\\frac{1}{4}} \\cdot 2\\frac{1}{8}", ["typ"] = "krat" }, ["render"] = "-13 - \\frac{-12 + 4\\frac{3}{7}}{2\\frac{1}{4}} \\cdot 2\\frac{1}{8}", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.55, bodu=93, $$-4 - 10 - (4\frac{4}{5} - \frac{3\frac{1}{7}}{-7})=\textcolor{white}{-19\frac{61}{245}}$$return { ["body"] = 93, ["id"] = "gnhahn_0329_0802", ["obtiznost"] = 0.95, ["reseni"] = { ["float"] = -19.248979591837, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4716, ["jmenovatel"] = 245 }, ["render"] = "\\frac{-4716}{245}", ["typ"] = "cislo" }, ["tex"] = "-19\\frac{61}{245}", ["x"] = -19, ["y"] = 61, ["z"] = 245 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-4 - 10", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{7}}{-7}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{4}{5} - \\frac{3\\frac{1}{7}}{-7}", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{5} - \\frac{3\\frac{1}{7}}{-7})", ["typ"] = "zavorka" }, ["render"] = "-4 - 10 - (4\\frac{4}{5} - \\frac{3\\frac{1}{7}}{-7})", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.56, bodu=24, $$6 - (-9 - (14 - (10 - 6)^2)^4)=\textcolor{white}{31}$$return { ["body"] = 24, ["id"] = "1YILRL_0329_0802", ["obtiznost"] = 0.5736, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 1 }, ["render"] = "\\frac{31}{1}", ["typ"] = "cislo" }, ["tex"] = "31", ["x"] = 31 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.56", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "10 - 6", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(10 - 6)^2", ["typ"] = "mocnina" }, ["render"] = "14 - (10 - 6)^2", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(14 - (10 - 6)^2)^4", ["typ"] = "mocnina" }, ["render"] = "-9 - (14 - (10 - 6)^2)^4", ["typ"] = "minus" }, ["render"] = "(-9 - (14 - (10 - 6)^2)^4)", ["typ"] = "zavorka" }, ["render"] = "6 - (-9 - (14 - (10 - 6)^2)^4)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.57, bodu=73, $$(\frac{-14}{8 + 12} \cdot -10)^2 \cdot 1\frac{1}{5}=\textcolor{white}{58{,}8}$$return { ["body"] = 73, ["id"] = "e9C9bt_0329_0802", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = 58.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = 294, ["jmenovatel"] = 5 }, ["render"] = "\\frac{294}{5}", ["typ"] = "cislo" }, ["tex"] = "58\\frac{4}{5}", ["tex_float"] = "58{,}8", ["x"] = 58, ["y"] = 4, ["z"] = 5 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.57", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "8 + 12", ["typ"] = "plus" }, ["render"] = "\\frac{-14}{8 + 12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{8 + 12} \\cdot -10", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-14}{8 + 12} \\cdot -10)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "(\\frac{-14}{8 + 12} \\cdot -10)^2 \\cdot 1\\frac{1}{5}", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.58, bodu=49, $$\frac{\frac{11 + (-10) + (-9)}{-16}}{-8 - 12}=\textcolor{white}{-0{,}025}$$return { ["body"] = 49, ["id"] = "ELQyCF_0329_0802", ["obtiznost"] = 0.58, ["reseni"] = { ["float"] = -0.025, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 40 }, ["render"] = "\\frac{1}{-40}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{40}", ["tex_float"] = "-0{,}025", ["y"] = -1, ["z"] = 40 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "11 + (-10)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "11 + (-10) + (-9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{11 + (-10) + (-9)}{-16}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-8 - 12", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{11 + (-10) + (-9)}{-16}}{-8 - 12}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.59, bodu=98, $$6 - \frac{-10}{4\frac{3}{11}} - (-18 + 8 + 1\frac{5}{13})=\textcolor{white}{16\frac{584}{611}}$$return { ["body"] = 98, ["id"] = "uYquYX_0329_0802", ["obtiznost"] = 0.99, ["reseni"] = { ["float"] = 16.9558101473, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10360, ["jmenovatel"] = 611 }, ["render"] = "\\frac{10360}{611}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{584}{611}", ["x"] = 16, ["y"] = 584, ["z"] = 611 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{4\\frac{3}{11}}", ["typ"] = "lomeno" }, ["render"] = "6 - \\frac{-10}{4\\frac{3}{11}}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "8 + 1\\frac{5}{13}", ["typ"] = "plus" }, ["render"] = "-18 + 8 + 1\\frac{5}{13}", ["typ"] = "plus" }, ["render"] = "(-18 + 8 + 1\\frac{5}{13})", ["typ"] = "zavorka" }, ["render"] = "6 - \\frac{-10}{4\\frac{3}{11}} - (-18 + 8 + 1\\frac{5}{13})", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.6, bodu=128, $$(3\frac{1}{6} + (-15) - (-6) + 3\frac{5}{9} - 1\frac{3}{7}) \cdot 9=\textcolor{white}{-33\frac{5}{14}}$$return { ["body"] = 128, ["id"] = "Xn8daF_0329_0802", ["obtiznost"] = 1.2, ["reseni"] = { ["float"] = -33.357142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -467, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-4203}{126}", ["typ"] = "cislo" }, ["tex"] = "-33\\frac{5}{14}", ["x"] = -33, ["y"] = 5, ["z"] = 14 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.6", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} + (-15)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} + (-15) - (-6)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{9} - 1\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "3\\frac{1}{6} + (-15) - (-6) + 3\\frac{5}{9} - 1\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{6} + (-15) - (-6) + 3\\frac{5}{9} - 1\\frac{3}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(3\\frac{1}{6} + (-15) - (-6) + 3\\frac{5}{9} - 1\\frac{3}{7}) \\cdot 9", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.61, bodu=101, $$2\frac{5}{9} \cdot 15 \cdot 4\frac{3}{7} - 11 \cdot 11=\textcolor{white}{48\frac{16}{21}}$$return { ["body"] = 101, ["id"] = "EAbNWh_0329_0802", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = 48.761904761905, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1024, ["jmenovatel"] = 21 }, ["render"] = "\\frac{1024}{21}", ["typ"] = "cislo" }, ["tex"] = "48\\frac{16}{21}", ["x"] = 48, ["y"] = 16, ["z"] = 21 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 4\\frac{3}{7}", ["typ"] = "krat" }, ["render"] = "2\\frac{5}{9} \\cdot 15 \\cdot 4\\frac{3}{7}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 11", ["typ"] = "krat" }, ["render"] = "2\\frac{5}{9} \\cdot 15 \\cdot 4\\frac{3}{7} - 11 \\cdot 11", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.62, bodu=53, $$18 - (-17) - (-11 + \frac{11 + 8}{-17})=\textcolor{white}{47\frac{2}{17}}$$return { ["body"] = 53, ["id"] = "6uOCYe_0329_0802", ["obtiznost"] = 0.62, ["reseni"] = { ["float"] = 47.117647058824, ["objekt"] = { ["hodnota"] = { ["citatel"] = 801, ["jmenovatel"] = 17 }, ["render"] = "\\frac{801}{17}", ["typ"] = "cislo" }, ["tex"] = "47\\frac{2}{17}", ["x"] = 47, ["y"] = 2, ["z"] = 17 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "18 - (-17)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "11 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{11 + 8}{-17}", ["typ"] = "lomeno" }, ["render"] = "-11 + \\frac{11 + 8}{-17}", ["typ"] = "plus" }, ["render"] = "(-11 + \\frac{11 + 8}{-17})", ["typ"] = "zavorka" }, ["render"] = "18 - (-17) - (-11 + \\frac{11 + 8}{-17})", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.63, bodu=104, $$\frac{14 + \frac{4\frac{2}{5} \cdot 12}{2\frac{5}{9}} + 6}{-11}=\textcolor{white}{-3\frac{881}{1265}}$$return { ["body"] = 104, ["id"] = "bBIOSI_0329_0802", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = -3.696442687747, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4676, ["jmenovatel"] = 1265 }, ["render"] = "\\frac{4676}{-1265}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{881}{1265}", ["x"] = -3, ["y"] = 881, ["z"] = 1265 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{5} \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{5} \\cdot 12}{2\\frac{5}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{5} \\cdot 12}{2\\frac{5}{9}} + 6", ["typ"] = "plus" }, ["render"] = "14 + \\frac{4\\frac{2}{5} \\cdot 12}{2\\frac{5}{9}} + 6", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{14 + \\frac{4\\frac{2}{5} \\cdot 12}{2\\frac{5}{9}} + 6}{-11}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.64, bodu=92, $$(\frac{-12}{-7})^2 - (1\frac{2}{7} - (10 - (7 + 11))^2)=\textcolor{white}{65\frac{32}{49}}$$return { ["body"] = 92, ["id"] = "xhUyps_0329_0802", ["obtiznost"] = 0.9432, ["reseni"] = { ["float"] = 65.65306122449, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3217, ["jmenovatel"] = 49 }, ["render"] = "\\frac{22519}{343}", ["typ"] = "cislo" }, ["tex"] = "65\\frac{32}{49}", ["x"] = 65, ["y"] = 32, ["z"] = 49 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.64", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{-7}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-12}{-7})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "7 + 11", ["typ"] = "plus" }, ["render"] = "(7 + 11)", ["typ"] = "zavorka" }, ["render"] = "10 - (7 + 11)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(10 - (7 + 11))^2", ["typ"] = "mocnina" }, ["render"] = "1\\frac{2}{7} - (10 - (7 + 11))^2", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{7} - (10 - (7 + 11))^2)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{-12}{-7})^2 - (1\\frac{2}{7} - (10 - (7 + 11))^2)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.65, bodu=135, $$\frac{\frac{1\frac{5}{10} \cdot 1\frac{3}{7}}{4\frac{5}{12}}}{8} - (-16)=\textcolor{white}{16\frac{45}{742}}$$return { ["body"] = 135, ["id"] = "2lgUSK_0329_0802", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = 16.06064690027, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11917, ["jmenovatel"] = 742 }, ["render"] = "\\frac{11917}{742}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{45}{742}", ["x"] = 16, ["y"] = 45, ["z"] = 742 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} \\cdot 1\\frac{3}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{10} \\cdot 1\\frac{3}{7}}{4\\frac{5}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{5}{10} \\cdot 1\\frac{3}{7}}{4\\frac{5}{12}}}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{5}{10} \\cdot 1\\frac{3}{7}}{4\\frac{5}{12}}}{8} - (-16)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.66, bodu=183, $$\frac{(2\frac{5}{8} \cdot 2\frac{2}{7})^3}{1\frac{5}{7} \cdot 18 - 1\frac{2}{6}}=\textcolor{white}{7\frac{49}{155}}$$return { ["body"] = 183, ["id"] = "QabAav_0329_0802", ["obtiznost"] = 1.5468, ["reseni"] = { ["float"] = 7.3161290322581, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1134, ["jmenovatel"] = 155 }, ["render"] = "\\frac{4536}{620}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{49}{155}", ["x"] = 7, ["y"] = 49, ["z"] = 155 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.66", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{8} \\cdot 2\\frac{2}{7}", ["typ"] = "krat" }, ["mocnitel"] = 3, ["render"] = "(2\\frac{5}{8} \\cdot 2\\frac{2}{7})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{7} \\cdot 18", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{7} \\cdot 18 - 1\\frac{2}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{(2\\frac{5}{8} \\cdot 2\\frac{2}{7})^3}{1\\frac{5}{7} \\cdot 18 - 1\\frac{2}{6}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.67, bodu=138, $$(2\frac{4}{10} - 13) \cdot \frac{1\frac{2}{8}}{3\frac{3}{10}} + (-10) + 7=\textcolor{white}{-7\frac{1}{66}}$$return { ["body"] = 138, ["id"] = "1ENAy9_0329_0802", ["obtiznost"] = 1.27, ["reseni"] = { ["float"] = -7.0151515151515, ["objekt"] = { ["hodnota"] = { ["citatel"] = -463, ["jmenovatel"] = 66 }, ["render"] = "\\frac{-463}{66}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{1}{66}", ["x"] = -7, ["y"] = 1, ["z"] = 66 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{10} - 13", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{10} - 13)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{2}{8}}{3\\frac{3}{10}}", ["typ"] = "lomeno" }, ["render"] = "(2\\frac{4}{10} - 13) \\cdot \\frac{1\\frac{2}{8}}{3\\frac{3}{10}}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(2\\frac{4}{10} - 13) \\cdot \\frac{1\\frac{2}{8}}{3\\frac{3}{10}} + (-10)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(2\\frac{4}{10} - 13) \\cdot \\frac{1\\frac{2}{8}}{3\\frac{3}{10}} + (-10) + 7", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.68, bodu=111, $$10 \cdot 3\frac{2}{4} \cdot 3 \cdot (1\frac{5}{11} - (-9))=\textcolor{white}{1097\frac{8}{11}}$$return { ["body"] = 111, ["id"] = "5X7T60_0329_0802", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = 1097.7272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12075, ["jmenovatel"] = 11 }, ["render"] = "\\frac{12075}{11}", ["typ"] = "cislo" }, ["tex"] = "1097\\frac{8}{11}", ["x"] = 1097, ["y"] = 8, ["z"] = 11 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 3\\frac{2}{4}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{11} - (-9)", ["typ"] = "minus" }, ["render"] = "(1\\frac{5}{11} - (-9))", ["typ"] = "zavorka" }, ["render"] = "3 \\cdot (1\\frac{5}{11} - (-9))", ["typ"] = "krat" }, ["render"] = "10 \\cdot 3\\frac{2}{4} \\cdot 3 \\cdot (1\\frac{5}{11} - (-9))", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.69, bodu=85, $$\frac{-11 \cdot (2\frac{1}{5} + 6)}{8 \cdot 12}=\textcolor{white}{-\frac{451}{480}}$$return { ["body"] = 85, ["id"] = "vwqAIl_0329_0802", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = -0.93958333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -451, ["jmenovatel"] = 480 }, ["render"] = "\\frac{-451}{480}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{451}{480}", ["y"] = -451, ["z"] = 480 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{5} + 6", ["typ"] = "plus" }, ["render"] = "(2\\frac{1}{5} + 6)", ["typ"] = "zavorka" }, ["render"] = "-11 \\cdot (2\\frac{1}{5} + 6)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 12", ["typ"] = "krat" }, ["render"] = "\\frac{-11 \\cdot (2\\frac{1}{5} + 6)}{8 \\cdot 12}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.7, bodu=86, $$4\frac{4}{8} \cdot 20 \cdot 12 \cdot \frac{9}{11}=\textcolor{white}{883\frac{7}{11}}$$return { ["body"] = 86, ["id"] = "dWs6Ip_0329_0802", ["obtiznost"] = 0.9, ["reseni"] = { ["float"] = 883.63636363636, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9720, ["jmenovatel"] = 11 }, ["render"] = "\\frac{9720}{11}", ["typ"] = "cislo" }, ["tex"] = "883\\frac{7}{11}", ["x"] = 883, ["y"] = 7, ["z"] = 11 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "20 \\cdot 12", ["typ"] = "krat" }, ["render"] = "4\\frac{4}{8} \\cdot 20 \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{11}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{4}{8} \\cdot 20 \\cdot 12 \\cdot \\frac{9}{11}", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.71, bodu=115, $$\frac{1\frac{2}{7} + 8}{\frac{-15 + 11 + 9}{2\frac{3}{9}}}=\textcolor{white}{4\frac{1}{3}}$$return { ["body"] = 115, ["id"] = "hcCXlx_0329_0802", ["obtiznost"] = 1.11, ["reseni"] = { ["float"] = 4.3333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "\\frac{455}{105}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{1}{3}", ["x"] = 4, ["y"] = 1, ["z"] = 3 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{7} + 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "11 + 9", ["typ"] = "plus" }, ["render"] = "-15 + 11 + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15 + 11 + 9}{2\\frac{3}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{2}{7} + 8}{\\frac{-15 + 11 + 9}{2\\frac{3}{9}}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.72, bodu=146, $$(4\frac{1}{6} \cdot -13 - 4\frac{1}{5} \cdot -13) \cdot 3\frac{4}{9}=\textcolor{white}{1\frac{133}{270}}$$return { ["body"] = 146, ["id"] = "vrzGTV_0329_0802", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = 1.4925925925926, ["objekt"] = { ["hodnota"] = { ["citatel"] = 403, ["jmenovatel"] = 270 }, ["render"] = "\\frac{403}{270}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{133}{270}", ["x"] = 1, ["y"] = 133, ["z"] = 270 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.72", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{6} \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{5} \\cdot -13", ["typ"] = "krat" }, ["render"] = "4\\frac{1}{6} \\cdot -13 - 4\\frac{1}{5} \\cdot -13", ["typ"] = "minus" }, ["render"] = "(4\\frac{1}{6} \\cdot -13 - 4\\frac{1}{5} \\cdot -13)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{1}{6} \\cdot -13 - 4\\frac{1}{5} \\cdot -13) \\cdot 3\\frac{4}{9}", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.73, bodu=180, $$11 \cdot 3\frac{2}{10} - (4\frac{3}{7} + 4\frac{3}{8} + (-7)) + (-10 + 2\frac{2}{6})=\textcolor{white}{25\frac{613}{840}}$$return { ["body"] = 180, ["id"] = "bN9l80_0329_0802", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = 25.729761904762, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21613, ["jmenovatel"] = 840 }, ["render"] = "\\frac{21613}{840}", ["typ"] = "cislo" }, ["tex"] = "25\\frac{613}{840}", ["x"] = 25, ["y"] = 613, ["z"] = 840 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 3\\frac{2}{10}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{8} + (-7)", ["typ"] = "plus" }, ["render"] = "4\\frac{3}{7} + 4\\frac{3}{8} + (-7)", ["typ"] = "plus" }, ["render"] = "(4\\frac{3}{7} + 4\\frac{3}{8} + (-7))", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot 3\\frac{2}{10} - (4\\frac{3}{7} + 4\\frac{3}{8} + (-7))", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-10 + 2\\frac{2}{6}", ["typ"] = "plus" }, ["render"] = "11 \\cdot 3\\frac{2}{10} - (4\\frac{3}{7} + 4\\frac{3}{8} + (-7)) + (-10 + 2\\frac{2}{6})", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.74, bodu=149, $$\frac{3\frac{4}{10} + (-8 + \frac{\frac{21}{3\frac{5}{8}}}{-14})}{3\frac{5}{13}}=\textcolor{white}{-1\frac{3071}{6380}}$$return { ["body"] = 149, ["id"] = "pdyyHs_0329_0802", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = -1.4813479623824, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9451, ["jmenovatel"] = 6380 }, ["render"] = "\\frac{-9451}{6380}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{3071}{6380}", ["x"] = -1, ["y"] = 3071, ["z"] = 6380 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{21}{3\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{21}{3\\frac{5}{8}}}{-14}", ["typ"] = "lomeno" }, ["render"] = "-8 + \\frac{\\frac{21}{3\\frac{5}{8}}}{-14}", ["typ"] = "plus" }, ["render"] = "3\\frac{4}{10} + (-8 + \\frac{\\frac{21}{3\\frac{5}{8}}}{-14})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{10} + (-8 + \\frac{\\frac{21}{3\\frac{5}{8}}}{-14})}{3\\frac{5}{13}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.75, bodu=93, $$9 - (7 + (-15)) \cdot 14 + 3\frac{3}{8} \cdot 9=\textcolor{white}{151{,}375}$$return { ["body"] = 93, ["id"] = "DLXanZ_0329_0802", ["obtiznost"] = 0.95, ["reseni"] = { ["float"] = 151.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1211, ["jmenovatel"] = 8 }, ["render"] = "\\frac{1211}{8}", ["typ"] = "cislo" }, ["tex"] = "151\\frac{3}{8}", ["tex_float"] = "151{,}375", ["x"] = 151, ["y"] = 3, ["z"] = 8 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "7 + (-15)", ["typ"] = "plus" }, ["render"] = "(7 + (-15))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(7 + (-15)) \\cdot 14", ["typ"] = "krat" }, ["render"] = "9 - (7 + (-15)) \\cdot 14", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} \\cdot 9", ["typ"] = "krat" }, ["render"] = "9 - (7 + (-15)) \\cdot 14 + 3\\frac{3}{8} \\cdot 9", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.76, bodu=94, $$-11 \cdot 4\frac{1}{4} + \frac{-13}{\frac{-6}{17}}=\textcolor{white}{-9\frac{11}{12}}$$return { ["body"] = 94, ["id"] = "880M8M_0329_0802", ["obtiznost"] = 0.96, ["reseni"] = { ["float"] = -9.9166666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -119, ["jmenovatel"] = 12 }, ["render"] = "\\frac{-238}{24}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{11}{12}", ["x"] = -9, ["y"] = 11, ["z"] = 12 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 4\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{17}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-13}{\\frac{-6}{17}}", ["typ"] = "lomeno" }, ["render"] = "-11 \\cdot 4\\frac{1}{4} + \\frac{-13}{\\frac{-6}{17}}", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.77, bodu=123, $$\frac{-11}{\frac{\frac{6 \cdot 2\frac{4}{9}}{1\frac{4}{10}}}{13}}=\textcolor{white}{-13{,}65}$$return { ["body"] = 123, ["id"] = "JnEF4e_0329_0802", ["obtiznost"] = 1.17, ["reseni"] = { ["float"] = -13.65, ["objekt"] = { ["hodnota"] = { ["citatel"] = -273, ["jmenovatel"] = 20 }, ["render"] = "\\frac{-3003}{220}", ["typ"] = "cislo" }, ["tex"] = "-13\\frac{13}{20}", ["tex_float"] = "-13{,}65", ["x"] = -13, ["y"] = 13, ["z"] = 20 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.77", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 2\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{6 \\cdot 2\\frac{4}{9}}{1\\frac{4}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{6 \\cdot 2\\frac{4}{9}}{1\\frac{4}{10}}}{13}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11}{\\frac{\\frac{6 \\cdot 2\\frac{4}{9}}{1\\frac{4}{10}}}{13}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.78, bodu=125, $$\frac{-14}{\frac{8}{3\frac{4}{11}}} \cdot 3\frac{5}{10} - (-11)=\textcolor{white}{-9\frac{53}{88}}$$return { ["body"] = 125, ["id"] = "59sAFM_0329_0802", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = -9.6022727272727, ["objekt"] = { ["hodnota"] = { ["citatel"] = -845, ["jmenovatel"] = 88 }, ["render"] = "\\frac{-845}{88}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{53}{88}", ["x"] = -9, ["y"] = 53, ["z"] = 88 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{3\\frac{4}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-14}{\\frac{8}{3\\frac{4}{11}}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{\\frac{8}{3\\frac{4}{11}}} \\cdot 3\\frac{5}{10}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{\\frac{8}{3\\frac{4}{11}}} \\cdot 3\\frac{5}{10} - (-11)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.79, bodu=126, $$(3\frac{4}{9} + 18 - (-11) + 5 + 4\frac{1}{8}) \cdot (-17 + (-13))=\textcolor{white}{-1247\frac{1}{12}}$$return { ["body"] = 126, ["id"] = "VRTzsF_0329_0802", ["obtiznost"] = 1.19, ["reseni"] = { ["float"] = -1247.0833333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -14965, ["jmenovatel"] = 12 }, ["render"] = "\\frac{-89790}{72}", ["typ"] = "cislo" }, ["tex"] = "-1247\\frac{1}{12}", ["x"] = -1247, ["y"] = 1, ["z"] = 12 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.79", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "18 - (-11)", ["typ"] = "minus" }, ["render"] = "3\\frac{4}{9} + 18 - (-11)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "5 + 4\\frac{1}{8}", ["typ"] = "plus" }, ["render"] = "3\\frac{4}{9} + 18 - (-11) + 5 + 4\\frac{1}{8}", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{9} + 18 - (-11) + 5 + 4\\frac{1}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-17 + (-13)", ["typ"] = "plus" }, ["render"] = "(-17 + (-13))", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{4}{9} + 18 - (-11) + 5 + 4\\frac{1}{8}) \\cdot (-17 + (-13))", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.8, bodu=83, $$((\frac{-11}{-8})^2 + 5) \cdot -15 \cdot -12 - (-11)=\textcolor{white}{1251\frac{5}{16}}$$return { ["body"] = 83, ["id"] = "zEZAvi_0329_0802", ["obtiznost"] = 0.874, ["reseni"] = { ["float"] = 1251.3125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 20021, ["jmenovatel"] = 16 }, ["render"] = "\\frac{20021}{16}", ["typ"] = "cislo" }, ["tex"] = "1251\\frac{5}{16}", ["x"] = 1251, ["y"] = 5, ["z"] = 16 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{-8}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-11}{-8})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(\\frac{-11}{-8})^2 + 5", ["typ"] = "plus" }, ["render"] = "((\\frac{-11}{-8})^2 + 5)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot -12", ["typ"] = "krat" }, ["render"] = "((\\frac{-11}{-8})^2 + 5) \\cdot -15 \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "((\\frac{-11}{-8})^2 + 5) \\cdot -15 \\cdot -12 - (-11)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.81, bodu=160, $$(\frac{2\frac{3}{12}}{1\frac{1}{6}} - (4\frac{2}{5} + 13 - 18)) \cdot -12=\textcolor{white}{-30\frac{12}{35}}$$return { ["body"] = 160, ["id"] = "j5MAFn_0329_0802", ["obtiznost"] = 1.41, ["reseni"] = { ["float"] = -30.342857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1062, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-2124}{70}", ["typ"] = "cislo" }, ["tex"] = "-30\\frac{12}{35}", ["x"] = -30, ["y"] = 12, ["z"] = 35 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.81", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{12}}{1\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "13 - 18", ["typ"] = "minus" }, ["render"] = "4\\frac{2}{5} + 13 - 18", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{5} + 13 - 18)", ["typ"] = "zavorka" }, ["render"] = "\\frac{2\\frac{3}{12}}{1\\frac{1}{6}} - (4\\frac{2}{5} + 13 - 18)", ["typ"] = "minus" }, ["render"] = "(\\frac{2\\frac{3}{12}}{1\\frac{1}{6}} - (4\\frac{2}{5} + 13 - 18))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(\\frac{2\\frac{3}{12}}{1\\frac{1}{6}} - (4\\frac{2}{5} + 13 - 18)) \\cdot -12", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.82, bodu=162, $$\frac{\frac{4\frac{4}{8}}{4\frac{2}{8}}}{1\frac{3}{12}} \cdot 21 \cdot -12=\textcolor{white}{-213\frac{39}{85}}$$return { ["body"] = 162, ["id"] = "wSRMxe_0329_0802", ["obtiznost"] = 1.42, ["reseni"] = { ["float"] = -213.45882352941, ["objekt"] = { ["hodnota"] = { ["citatel"] = -18144, ["jmenovatel"] = 85 }, ["render"] = "\\frac{-18144}{85}", ["typ"] = "cislo" }, ["tex"] = "-213\\frac{39}{85}", ["x"] = -213, ["y"] = 39, ["z"] = 85 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8}}{4\\frac{2}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{4}{8}}{4\\frac{2}{8}}}{1\\frac{3}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "21 \\cdot -12", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{4\\frac{4}{8}}{4\\frac{2}{8}}}{1\\frac{3}{12}} \\cdot 21 \\cdot -12", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.83, bodu=132, $$\frac{12 + 13}{\frac{5}{3\frac{1}{7}} \cdot (3\frac{3}{8} + 13 + (-15))}=\textcolor{white}{11\frac{3}{7}}$$return { ["body"] = 132, ["id"] = "RmDwJZ_0329_0802", ["obtiznost"] = 1.23, ["reseni"] = { ["float"] = 11.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 80, ["jmenovatel"] = 7 }, ["render"] = "\\frac{400}{35}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{3}{7}", ["x"] = 11, ["y"] = 3, ["z"] = 7 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "12 + 13", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{3\\frac{1}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} + 13 + (-15)", ["typ"] = "plus" }, ["render"] = "(3\\frac{3}{8} + 13 + (-15))", ["typ"] = "zavorka" }, ["render"] = "\\frac{5}{3\\frac{1}{7}} \\cdot (3\\frac{3}{8} + 13 + (-15))", ["typ"] = "krat" }, ["render"] = "\\frac{12 + 13}{\\frac{5}{3\\frac{1}{7}} \\cdot (3\\frac{3}{8} + 13 + (-15))}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.84, bodu=234, $$\frac{3\frac{2}{8}}{3\frac{3}{7}} - 12 \cdot 4\frac{4}{8} - (4\frac{2}{9} + 4\frac{5}{9} + 10)=\textcolor{white}{-71\frac{239}{288}}$$return { ["body"] = 234, ["id"] = "uWYskL_0329_0802", ["obtiznost"] = 1.84, ["reseni"] = { ["float"] = -71.829861111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -20687, ["jmenovatel"] = 288 }, ["render"] = "\\frac{-62061}{864}", ["typ"] = "cislo" }, ["tex"] = "-71\\frac{239}{288}", ["x"] = -71, ["y"] = 239, ["z"] = 288 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{8}}{3\\frac{3}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 4\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{2}{8}}{3\\frac{3}{7}} - 12 \\cdot 4\\frac{4}{8}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{9} + 4\\frac{5}{9}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{9} + 4\\frac{5}{9} + 10", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{9} + 4\\frac{5}{9} + 10)", ["typ"] = "zavorka" }, ["render"] = "\\frac{3\\frac{2}{8}}{3\\frac{3}{7}} - 12 \\cdot 4\\frac{4}{8} - (4\\frac{2}{9} + 4\\frac{5}{9} + 10)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.85, bodu=218, $$10 \cdot (-22 + 6)^2 + \frac{3\frac{2}{6}}{2\frac{3}{8}} - (2\frac{3}{8} - 2\frac{4}{9})=\textcolor{white}{2561\frac{647}{1368}}$$return { ["body"] = 218, ["id"] = "Q4VJw4_0329_0802", ["obtiznost"] = 1.7528, ["reseni"] = { ["float"] = 2561.4729532164, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3504095, ["jmenovatel"] = 1368 }, ["render"] = "\\frac{10512285}{4104}", ["typ"] = "cislo" }, ["tex"] = "2561\\frac{647}{1368}", ["x"] = 2561, ["y"] = 647, ["z"] = 1368 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-22 + 6", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-22 + 6)^2", ["typ"] = "mocnina" }, ["render"] = "10 \\cdot (-22 + 6)^2", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{6}}{2\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "10 \\cdot (-22 + 6)^2 + \\frac{3\\frac{2}{6}}{2\\frac{3}{8}}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} - 2\\frac{4}{9}", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{8} - 2\\frac{4}{9})", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (-22 + 6)^2 + \\frac{3\\frac{2}{6}}{2\\frac{3}{8}} - (2\\frac{3}{8} - 2\\frac{4}{9})", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.86, bodu=108, $$\frac{11}{\frac{-20}{\frac{1\frac{5}{10}}{-11}} + (-13 \cdot -21)}=\textcolor{white}{\frac{33}{1259}}$$return { ["body"] = 108, ["id"] = "o2SKzO_0329_0802", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = 0.026211278792693, ["objekt"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 1259 }, ["render"] = "\\frac{33}{1259}", ["typ"] = "cislo" }, ["tex"] = "\\frac{33}{1259}", ["y"] = 33, ["z"] = 1259 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.86", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{10}}{-11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-20}{\\frac{1\\frac{5}{10}}{-11}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot -21", ["typ"] = "krat" }, ["render"] = "\\frac{-20}{\\frac{1\\frac{5}{10}}{-11}} + (-13 \\cdot -21)", ["typ"] = "plus" }, ["render"] = "\\frac{11}{\\frac{-20}{\\frac{1\\frac{5}{10}}{-11}} + (-13 \\cdot -21)}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.87, bodu=268, $$1\frac{5}{7} \cdot 21 - (\frac{2\frac{5}{10}}{-10} + 1\frac{4}{8})^4 - 1\frac{2}{7}=\textcolor{white}{32\frac{489}{1792}}$$return { ["body"] = 268, ["id"] = "tpmaoD_0329_0802", ["obtiznost"] = 2.0224, ["reseni"] = { ["float"] = 32.272879464286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 57833, ["jmenovatel"] = 1792 }, ["render"] = "\\frac{57833}{1792}", ["typ"] = "cislo" }, ["tex"] = "32\\frac{489}{1792}", ["x"] = 32, ["y"] = 489, ["z"] = 1792 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{7} \\cdot 21", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{10}}{-10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{10}}{-10} + 1\\frac{4}{8}", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(\\frac{2\\frac{5}{10}}{-10} + 1\\frac{4}{8})^4", ["typ"] = "mocnina" }, ["render"] = "1\\frac{5}{7} \\cdot 21 - (\\frac{2\\frac{5}{10}}{-10} + 1\\frac{4}{8})^4", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{7} \\cdot 21 - (\\frac{2\\frac{5}{10}}{-10} + 1\\frac{4}{8})^4 - 1\\frac{2}{7}", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.88, bodu=205, $$12 + 4\frac{2}{11} - 1\frac{1}{4} \cdot (3\frac{1}{5} \cdot 2\frac{2}{9} - 16 + 13)=\textcolor{white}{11\frac{17}{396}}$$return { ["body"] = 205, ["id"] = "3LXEZj_0329_0802", ["obtiznost"] = 1.68, ["reseni"] = { ["float"] = 11.042929292929, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4373, ["jmenovatel"] = 396 }, ["render"] = "\\frac{4373}{396}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{17}{396}", ["x"] = 11, ["y"] = 17, ["z"] = 396 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "12 + 4\\frac{2}{11}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot 2\\frac{2}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot 2\\frac{2}{9} - 16", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{5} \\cdot 2\\frac{2}{9} - 16 + 13", ["typ"] = "plus" }, ["render"] = "(3\\frac{1}{5} \\cdot 2\\frac{2}{9} - 16 + 13)", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{4} \\cdot (3\\frac{1}{5} \\cdot 2\\frac{2}{9} - 16 + 13)", ["typ"] = "krat" }, ["render"] = "12 + 4\\frac{2}{11} - 1\\frac{1}{4} \\cdot (3\\frac{1}{5} \\cdot 2\\frac{2}{9} - 16 + 13)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.89, bodu=141, $$\frac{-12 - (-14)}{6 \cdot \frac{12}{4\frac{4}{14} \cdot 2\frac{5}{10}}}=\textcolor{white}{\frac{25}{84}}$$return { ["body"] = 141, ["id"] = "SHx812_0329_0802", ["obtiznost"] = 1.29, ["reseni"] = { ["float"] = 0.29761904761905, ["objekt"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 84 }, ["render"] = "\\frac{50}{168}", ["typ"] = "cislo" }, ["tex"] = "\\frac{25}{84}", ["y"] = 25, ["z"] = 84 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-12 - (-14)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{14} \\cdot 2\\frac{5}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{12}{4\\frac{4}{14} \\cdot 2\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot \\frac{12}{4\\frac{4}{14} \\cdot 2\\frac{5}{10}}", ["typ"] = "krat" }, ["render"] = "\\frac{-12 - (-14)}{6 \\cdot \\frac{12}{4\\frac{4}{14} \\cdot 2\\frac{5}{10}}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.9, bodu=113, $$(-17 + 5) \cdot 20 \cdot 3\frac{1}{8} - 18 \cdot -3=\textcolor{white}{-696}$$return { ["body"] = 113, ["id"] = "uoakiC_0329_0802", ["obtiznost"] = 1.1, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -696, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-696}{1}", ["typ"] = "cislo" }, ["tex"] = "-696", ["tex_float"] = "-696", ["x"] = -696 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-17 + 5", ["typ"] = "plus" }, ["render"] = "(-17 + 5)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "20 \\cdot 3\\frac{1}{8}", ["typ"] = "krat" }, ["render"] = "(-17 + 5) \\cdot 20 \\cdot 3\\frac{1}{8}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "18 \\cdot -3", ["typ"] = "krat" }, ["render"] = "(-17 + 5) \\cdot 20 \\cdot 3\\frac{1}{8} - 18 \\cdot -3", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.91, bodu=144, $$14 + (-17 \cdot \frac{4\frac{5}{14} + 2\frac{1}{7}}{-16} + 20 + (-13))=\textcolor{white}{27\frac{29}{32}}$$return { ["body"] = 144, ["id"] = "yvtHDo_0329_0802", ["obtiznost"] = 1.31, ["reseni"] = { ["float"] = 27.90625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 893, ["jmenovatel"] = 32 }, ["render"] = "\\frac{893}{32}", ["typ"] = "cislo" }, ["tex"] = "27\\frac{29}{32}", ["x"] = 27, ["y"] = 29, ["z"] = 32 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.91", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 61, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{5}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{14} + 2\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{14} + 2\\frac{1}{7}}{-16}", ["typ"] = "lomeno" }, ["render"] = "-17 \\cdot \\frac{4\\frac{5}{14} + 2\\frac{1}{7}}{-16}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "20 + (-13)", ["typ"] = "plus" }, ["render"] = "-17 \\cdot \\frac{4\\frac{5}{14} + 2\\frac{1}{7}}{-16} + 20 + (-13)", ["typ"] = "plus" }, ["render"] = "14 + (-17 \\cdot \\frac{4\\frac{5}{14} + 2\\frac{1}{7}}{-16} + 20 + (-13))", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.92, bodu=249, $$\frac{\frac{4\frac{3}{12}}{2\frac{2}{4}}}{\frac{\frac{4\frac{3}{10}}{3\frac{3}{9}}}{2\frac{3}{8}}}=\textcolor{white}{3\frac{67}{516}}$$return { ["body"] = 249, ["id"] = "sNXXe6_0329_0802", ["obtiznost"] = 1.92, ["reseni"] = { ["float"] = 3.1298449612403, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1615, ["jmenovatel"] = 516 }, ["render"] = "\\frac{8075}{2580}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{67}{516}", ["x"] = 3, ["y"] = 67, ["z"] = 516 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{12}}{2\\frac{2}{4}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{10}}{3\\frac{3}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{3}{10}}{3\\frac{3}{9}}}{2\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{4\\frac{3}{12}}{2\\frac{2}{4}}}{\\frac{\\frac{4\\frac{3}{10}}{3\\frac{3}{9}}}{2\\frac{3}{8}}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.93, bodu=180, $$3\frac{1}{6} + 4\frac{2}{11} - (1\frac{3}{6} - \frac{17}{-11}) - (7 + 5)=\textcolor{white}{-7\frac{23}{33}}$$return { ["body"] = 180, ["id"] = "KPdlsz_0329_0802", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = -7.6969696969697, ["objekt"] = { ["hodnota"] = { ["citatel"] = -254, ["jmenovatel"] = 33 }, ["render"] = "\\frac{-254}{33}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{23}{33}", ["x"] = -7, ["y"] = 23, ["z"] = 33 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} + 4\\frac{2}{11}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{-11}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{3}{6} - \\frac{17}{-11}", ["typ"] = "minus" }, ["render"] = "(1\\frac{3}{6} - \\frac{17}{-11})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{1}{6} + 4\\frac{2}{11} - (1\\frac{3}{6} - \\frac{17}{-11})", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "7 + 5", ["typ"] = "plus" }, ["render"] = "(7 + 5)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{1}{6} + 4\\frac{2}{11} - (1\\frac{3}{6} - \\frac{17}{-11}) - (7 + 5)", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.94, bodu=253, $$\frac{(1\frac{4}{10} \cdot 2\frac{5}{11} + 3\frac{2}{9}) \cdot (8 + 4\frac{4}{11})}{1\frac{2}{6}}=\textcolor{white}{61\frac{1349}{1815}}$$return { ["body"] = 253, ["id"] = "sY2pD6_0329_0802", ["obtiznost"] = 1.94, ["reseni"] = { ["float"] = 61.743250688705, ["objekt"] = { ["hodnota"] = { ["citatel"] = 112064, ["jmenovatel"] = 1815 }, ["render"] = "\\frac{1344768}{21780}", ["typ"] = "cislo" }, ["tex"] = "61\\frac{1349}{1815}", ["x"] = 61, ["y"] = 1349, ["z"] = 1815 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} \\cdot 2\\frac{5}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} \\cdot 2\\frac{5}{11} + 3\\frac{2}{9}", ["typ"] = "plus" }, ["render"] = "(1\\frac{4}{10} \\cdot 2\\frac{5}{11} + 3\\frac{2}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "8 + 4\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "(8 + 4\\frac{4}{11})", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{4}{10} \\cdot 2\\frac{5}{11} + 3\\frac{2}{9}) \\cdot (8 + 4\\frac{4}{11})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{(1\\frac{4}{10} \\cdot 2\\frac{5}{11} + 3\\frac{2}{9}) \\cdot (8 + 4\\frac{4}{11})}{1\\frac{2}{6}}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.95, bodu=183, $$\frac{\frac{19}{2\frac{1}{8}}}{-13 - (-15 + 10) \cdot (4\frac{5}{13} + 3\frac{5}{12})}=\textcolor{white}{\frac{23712}{68969}}$$return { ["body"] = 183, ["id"] = "alqA9R_0329_0802", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = 0.34380663776479, ["objekt"] = { ["hodnota"] = { ["citatel"] = 23712, ["jmenovatel"] = 68969 }, ["render"] = "\\frac{23712}{68969}", ["typ"] = "cislo" }, ["tex"] = "\\frac{23712}{68969}", ["y"] = 23712, ["z"] = 68969 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{19}{2\\frac{1}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-15 + 10", ["typ"] = "plus" }, ["render"] = "(-15 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{13} + 3\\frac{5}{12}", ["typ"] = "plus" }, ["render"] = "(4\\frac{5}{13} + 3\\frac{5}{12})", ["typ"] = "zavorka" }, ["render"] = "(-15 + 10) \\cdot (4\\frac{5}{13} + 3\\frac{5}{12})", ["typ"] = "krat" }, ["render"] = "-13 - (-15 + 10) \\cdot (4\\frac{5}{13} + 3\\frac{5}{12})", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{19}{2\\frac{1}{8}}}{-13 - (-15 + 10) \\cdot (4\\frac{5}{13} + 3\\frac{5}{12})}", ["typ"] = "lomeno" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.96, bodu=220, $$(2\frac{3}{7} \cdot \frac{4\frac{1}{6}}{17} - 4\frac{4}{9}) \cdot 1\frac{4}{7} \cdot -13=\textcolor{white}{78\frac{559}{882}}$$return { ["body"] = 220, ["id"] = "EkTIvA_0329_0802", ["obtiznost"] = 1.76, ["reseni"] = { ["float"] = 78.633786848073, ["objekt"] = { ["hodnota"] = { ["citatel"] = 69355, ["jmenovatel"] = 882 }, ["render"] = "\\frac{69355}{882}", ["typ"] = "cislo" }, ["tex"] = "78\\frac{559}{882}", ["x"] = 78, ["y"] = 559, ["z"] = 882 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.96", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{6}}{17}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{3}{7} \\cdot \\frac{4\\frac{1}{6}}{17}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{7} \\cdot \\frac{4\\frac{1}{6}}{17} - 4\\frac{4}{9}", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{7} \\cdot \\frac{4\\frac{1}{6}}{17} - 4\\frac{4}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} \\cdot -13", ["typ"] = "krat" }, ["render"] = "(2\\frac{3}{7} \\cdot \\frac{4\\frac{1}{6}}{17} - 4\\frac{4}{9}) \\cdot 1\\frac{4}{7} \\cdot -13", ["typ"] = "krat" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.97, bodu=297, $$2\frac{2}{7} \cdot -12 \cdot 3\frac{4}{15} - 4\frac{5}{9} - (2\frac{4}{12} + 4\frac{4}{8} + 2\frac{1}{2})=\textcolor{white}{-103\frac{22}{45}}$$return { ["body"] = 297, ["id"] = "CNPiJV_0329_0802", ["obtiznost"] = 2.17, ["reseni"] = { ["float"] = -103.48888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4657, ["jmenovatel"] = 45 }, ["render"] = "\\frac{-13971}{135}", ["typ"] = "cislo" }, ["tex"] = "-103\\frac{22}{45}", ["x"] = -103, ["y"] = 22, ["z"] = 45 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 15 }, ["render"] = "3\\frac{4}{15}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} \\cdot -12 \\cdot 3\\frac{4}{15}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} \\cdot -12 \\cdot 3\\frac{4}{15} - 4\\frac{5}{9}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} + 2\\frac{1}{2}", ["typ"] = "plus" }, ["render"] = "2\\frac{4}{12} + 4\\frac{4}{8} + 2\\frac{1}{2}", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{12} + 4\\frac{4}{8} + 2\\frac{1}{2})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{2}{7} \\cdot -12 \\cdot 3\\frac{4}{15} - 4\\frac{5}{9} - (2\\frac{4}{12} + 4\\frac{4}{8} + 2\\frac{1}{2})", ["typ"] = "minus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.98, bodu=260, $$\frac{1\frac{3}{13}}{1\frac{4}{7} \cdot 2\frac{3}{9}} \cdot (1\frac{5}{13} + 6) + 2\frac{2}{5}=\textcolor{white}{4\frac{8168}{9295}}$$return { ["body"] = 260, ["id"] = "cr2IRV_0329_0802", ["obtiznost"] = 1.98, ["reseni"] = { ["float"] = 4.8787520172136, ["objekt"] = { ["hodnota"] = { ["citatel"] = 45348, ["jmenovatel"] = 9295 }, ["render"] = "\\frac{45348}{9295}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{8168}{9295}", ["x"] = 4, ["y"] = 8168, ["z"] = 9295 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{3}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} \\cdot 2\\frac{3}{9}", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{3}{13}}{1\\frac{4}{7} \\cdot 2\\frac{3}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{13} + 6", ["typ"] = "plus" }, ["render"] = "(1\\frac{5}{13} + 6)", ["typ"] = "zavorka" }, ["render"] = "\\frac{1\\frac{3}{13}}{1\\frac{4}{7} \\cdot 2\\frac{3}{9}} \\cdot (1\\frac{5}{13} + 6)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{13}}{1\\frac{4}{7} \\cdot 2\\frac{3}{9}} \\cdot (1\\frac{5}{13} + 6) + 2\\frac{2}{5}", ["typ"] = "plus" } }

seed: ANA0DQX1VSDJdk3wTwjN_0.99, bodu=225, $$(2\frac{4}{14} - (-14)) \cdot 2\frac{4}{9} - \frac{4\frac{3}{10}}{\frac{-9}{1\frac{3}{12}}}=\textcolor{white}{40\frac{205}{504}}$$return { ["body"] = 225, ["id"] = "Xhia42_0329_0802", ["obtiznost"] = 1.79, ["reseni"] = { ["float"] = 40.406746031746, ["objekt"] = { ["hodnota"] = { ["citatel"] = 20365, ["jmenovatel"] = 504 }, ["render"] = "\\frac{61095}{1512}", ["typ"] = "cislo" }, ["tex"] = "40\\frac{205}{504}", ["x"] = 40, ["y"] = 205, ["z"] = 504 }, ["seed"] = "ANA0DQX1VSDJdk3wTwjN_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{14} - (-14)", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{14} - (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "(2\\frac{4}{14} - (-14)) \\cdot 2\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{1\\frac{3}{12}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{3}{10}}{\\frac{-9}{1\\frac{3}{12}}}", ["typ"] = "lomeno" }, ["render"] = "(2\\frac{4}{14} - (-14)) \\cdot 2\\frac{4}{9} - \\frac{4\\frac{3}{10}}{\\frac{-9}{1\\frac{3}{12}}}", ["typ"] = "minus" } }

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