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Nahodny test, priklady s rostouci obtiznosti...

seed: SC3RzuaY99dKCEWNFJH4_0, bodu=10, $$\frac{\frac{4}{7}}{-8}=\textcolor{white}{-\frac{1}{14}}$$return { ["body"] = 10, ["id"] = "vFXVpU_0509_1456", ["obtiznost"] = 0, ["reseni"] = { ["float"] = -0.071428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 14 }, ["render"] = "\\frac{4}{-56}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{14}", ["y"] = -1, ["z"] = 14 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4}{7}}{-8}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.01, bodu=10, $$\frac{9}{-11 \cdot 6}=\textcolor{white}{-\frac{3}{22}}$$return { ["body"] = 10, ["id"] = "Achrzt_0509_1456", ["obtiznost"] = 0.01, ["reseni"] = { ["float"] = -0.13636363636364, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 22 }, ["render"] = "\\frac{9}{-66}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3}{22}", ["y"] = -3, ["z"] = 22 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.01", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{9}{-11 \\cdot 6}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.02, bodu=11, $$(\frac{7 + 4 + 4 - (-6)}{7})^4=\textcolor{white}{81}$$return { ["body"] = 11, ["id"] = "wDyWff_0509_1456", ["obtiznost"] = 0.0528, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 1 }, ["render"] = "\\frac{81}{1}", ["typ"] = "cislo" }, ["tex"] = "81", ["tex_float"] = "81", ["x"] = 81 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.02", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "7 + 4", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "4 - (-6)", ["typ"] = "minus" }, ["render"] = "7 + 4 + 4 - (-6)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{7 + 4 + 4 - (-6)}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{7 + 4 + 4 - (-6)}{7})^4", ["typ"] = "mocnina" } }

seed: SC3RzuaY99dKCEWNFJH4_0.03, bodu=19, $$3\frac{1}{4} \cdot 6 - (8 - 8)^3=\textcolor{white}{19{,}5}$$return { ["body"] = 19, ["id"] = "nlyl9Z_0509_1456", ["obtiznost"] = 0.2304, ["reseni"] = { ["float"] = 19.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 39, ["jmenovatel"] = 2 }, ["render"] = "\\frac{39}{2}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{1}{2}", ["tex_float"] = "19{,}5", ["x"] = 19, ["y"] = 1, ["z"] = 2 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.03", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{4} \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(8 - 8)^3", ["typ"] = "mocnina" }, ["render"] = "3\\frac{1}{4} \\cdot 6 - (8 - 8)^3", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.04, bodu=20, $$\frac{3 - 5}{3\frac{5}{7} - (-6)}=\textcolor{white}{-\frac{7}{34}}$$return { ["body"] = 20, ["id"] = "tiJGdm_0509_1456", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = -0.20588235294118, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 34 }, ["render"] = "\\frac{-14}{68}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7}{34}", ["y"] = -7, ["z"] = 34 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.04", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "3 - 5", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{7} - (-6)", ["typ"] = "minus" }, ["render"] = "\\frac{3 - 5}{3\\frac{5}{7} - (-6)}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.05, bodu=5, $$7 \cdot 7 \cdot -7=\textcolor{white}{-343}$$return { ["body"] = 5, ["id"] = "S6eY1P_0509_1456", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -343, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-343}{1}", ["typ"] = "cislo" }, ["tex"] = "-343", ["x"] = -343 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.05", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 7 \\cdot -7", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.06, bodu=5, $$(9 + 6 - (-6)) \cdot 7=\textcolor{white}{147}$$return { ["body"] = 5, ["id"] = "SsT7G6_0509_1456", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 147, ["jmenovatel"] = 1 }, ["render"] = "\\frac{147}{1}", ["typ"] = "cislo" }, ["tex"] = "147", ["tex_float"] = "147", ["x"] = 147 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.06", ["zadani"] = { ["c1"] = { ["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"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "9 + 6 - (-6)", ["typ"] = "minus" }, ["render"] = "(9 + 6 - (-6))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(9 + 6 - (-6)) \\cdot 7", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.07, bodu=11, $$\frac{9 \cdot 8 + 8}{4}=\textcolor{white}{20}$$return { ["body"] = 11, ["id"] = "gfIPuZ_0509_1456", ["obtiznost"] = 0.07, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "\\frac{80}{4}", ["typ"] = "cislo" }, ["tex"] = "20", ["x"] = 20 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.07", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 8 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{9 \\cdot 8 + 8}{4}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.08, bodu=23, $$-9 - (1\frac{2}{5} - 10 + 10 + 6)=\textcolor{white}{-16{,}4}$$return { ["body"] = 23, ["id"] = "Qrz8F6_0509_1456", ["obtiznost"] = 0.28, ["reseni"] = { ["float"] = -16.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = -82, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-82}{5}", ["typ"] = "cislo" }, ["tex"] = "-16\\frac{2}{5}", ["tex_float"] = "-16{,}4", ["x"] = -16, ["y"] = 2, ["z"] = 5 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} - 10", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} - 10 + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} - 10 + 10 + 6", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{5} - 10 + 10 + 6)", ["typ"] = "zavorka" }, ["render"] = "-9 - (1\\frac{2}{5} - 10 + 10 + 6)", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.09, bodu=12, $$10 \cdot \frac{8}{(-8 + 7)^4}=\textcolor{white}{80}$$return { ["body"] = 12, ["id"] = "hheL3H_0509_1456", ["obtiznost"] = 0.0908, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 80, ["jmenovatel"] = 1 }, ["render"] = "\\frac{80}{1}", ["typ"] = "cislo" }, ["tex"] = "80", ["x"] = 80 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.09", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-8 + 7", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-8 + 7)^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{8}{(-8 + 7)^4}", ["typ"] = "lomeno" }, ["render"] = "10 \\cdot \\frac{8}{(-8 + 7)^4}", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.1, bodu=30, $$10 - (-5 - \frac{10}{-7})^2=\textcolor{white}{-2\frac{37}{49}}$$return { ["body"] = 30, ["id"] = "LvP69x_0509_1456", ["obtiznost"] = 0.3696, ["reseni"] = { ["float"] = -2.7551020408163, ["objekt"] = { ["hodnota"] = { ["citatel"] = -135, ["jmenovatel"] = 49 }, ["render"] = "\\frac{-135}{49}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{37}{49}", ["x"] = -2, ["y"] = 37, ["z"] = 49 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-7}", ["typ"] = "lomeno" }, ["render"] = "-5 - \\frac{10}{-7}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-5 - \\frac{10}{-7})^2", ["typ"] = "mocnina" }, ["render"] = "10 - (-5 - \\frac{10}{-7})^2", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.11, bodu=6, $$(6 - 6)^3 - (6 + 8)=\textcolor{white}{-14}$$return { ["body"] = 6, ["id"] = "0NbzNf_0509_1456", ["obtiznost"] = 0.1104, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-14}{1}", ["typ"] = "cislo" }, ["tex"] = "-14", ["x"] = -14 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.11", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 - 6", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(6 - 6)^3", ["typ"] = "mocnina" }, ["c2"] = { ["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"] = "plus" }, ["render"] = "(6 + 8)", ["typ"] = "zavorka" }, ["render"] = "(6 - 6)^3 - (6 + 8)", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.12, bodu=26, $$3\frac{2}{4} \cdot 9 + 4 + 7=\textcolor{white}{42{,}5}$$return { ["body"] = 26, ["id"] = "pOMB0g_0509_1456", ["obtiznost"] = 0.32, ["reseni"] = { ["float"] = 42.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 85, ["jmenovatel"] = 2 }, ["render"] = "\\frac{85}{2}", ["typ"] = "cislo" }, ["tex"] = "42\\frac{1}{2}", ["tex_float"] = "42{,}5", ["x"] = 42, ["y"] = 1, ["z"] = 2 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.12", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{4} \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4 + 7", ["typ"] = "plus" }, ["render"] = "3\\frac{2}{4} \\cdot 9 + 4 + 7", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.13, bodu=14, $$\frac{8}{6} - (5 + (-7))=\textcolor{white}{3\frac{1}{3}}$$return { ["body"] = 14, ["id"] = "Vg7fCy_0509_1456", ["obtiznost"] = 0.13, ["reseni"] = { ["float"] = 3.3333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "\\frac{10}{3}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{1}{3}", ["x"] = 3, ["y"] = 1, ["z"] = 3 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.13", ["zadani"] = { ["c1"] = { ["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" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "5 + (-7)", ["typ"] = "plus" }, ["render"] = "(5 + (-7))", ["typ"] = "zavorka" }, ["render"] = "\\frac{8}{6} - (5 + (-7))", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.14, bodu=14, $$\frac{-9}{8} \cdot 8=\textcolor{white}{-9}$$return { ["body"] = 14, ["id"] = "1NI86T_0509_1456", ["obtiznost"] = 0.14, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-72}{8}", ["typ"] = "cislo" }, ["tex"] = "-9", ["tex_float"] = "-9", ["x"] = -9 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.14", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{8} \\cdot 8", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.15, bodu=7, $$8 \cdot ((10 - 10)^3 - (-11))=\textcolor{white}{88}$$return { ["body"] = 7, ["id"] = "dxkjNc_0509_1456", ["obtiznost"] = 0.1504, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 88, ["jmenovatel"] = 1 }, ["render"] = "\\frac{88}{1}", ["typ"] = "cislo" }, ["tex"] = "88", ["tex_float"] = "88", ["x"] = 88 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.15", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "10 - 10", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(10 - 10)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "(10 - 10)^3 - (-11)", ["typ"] = "minus" }, ["render"] = "((10 - 10)^3 - (-11))", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot ((10 - 10)^3 - (-11))", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.16, bodu=7, $$-3 \cdot 6 \cdot 4=\textcolor{white}{-72}$$return { ["body"] = 7, ["id"] = "dwHDG3_0509_1456", ["obtiznost"] = 0.16, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -72, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-72}{1}", ["typ"] = "cislo" }, ["tex"] = "-72", ["tex_float"] = "-72", ["x"] = -72 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4", ["typ"] = "krat" }, ["render"] = "-3 \\cdot 6 \\cdot 4", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.17, bodu=8, $$7 \cdot 10 \cdot 8=\textcolor{white}{560}$$return { ["body"] = 8, ["id"] = "sky87f_0509_1456", ["obtiznost"] = 0.17, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 560, ["jmenovatel"] = 1 }, ["render"] = "\\frac{560}{1}", ["typ"] = "cislo" }, ["tex"] = "560", ["tex_float"] = "560", ["x"] = 560 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.17", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 10 \\cdot 8", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.18, bodu=19, $$\frac{7}{2} + (5 - 10)^3=\textcolor{white}{-121{,}5}$$return { ["body"] = 19, ["id"] = "U8WN2P_0509_1456", ["obtiznost"] = 0.2304, ["reseni"] = { ["float"] = -121.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -243, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-243}{2}", ["typ"] = "cislo" }, ["tex"] = "-121\\frac{1}{2}", ["tex_float"] = "-121{,}5", ["x"] = -121, ["y"] = 1, ["z"] = 2 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{2}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "5 - 10", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(5 - 10)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{7}{2} + (5 - 10)^3", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.19, bodu=8, $$12 + 9 - 10 \cdot -9=\textcolor{white}{111}$$return { ["body"] = 8, ["id"] = "kPQGbi_0509_1456", ["obtiznost"] = 0.19, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 111, ["jmenovatel"] = 1 }, ["render"] = "\\frac{111}{1}", ["typ"] = "cislo" }, ["tex"] = "111", ["tex_float"] = "111", ["x"] = 111 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.19", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "10 \\cdot -9", ["typ"] = "krat" }, ["render"] = "9 - 10 \\cdot -9", ["typ"] = "minus" }, ["render"] = "12 + 9 - 10 \\cdot -9", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.2, bodu=9, $$7 \cdot (10 \cdot 6 + 6)=\textcolor{white}{462}$$return { ["body"] = 9, ["id"] = "pgPSjI_0509_1456", ["obtiznost"] = 0.2, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 462, ["jmenovatel"] = 1 }, ["render"] = "\\frac{462}{1}", ["typ"] = "cislo" }, ["tex"] = "462", ["tex_float"] = "462", ["x"] = 462 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.2", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 6 + 6", ["typ"] = "plus" }, ["render"] = "(10 \\cdot 6 + 6)", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (10 \\cdot 6 + 6)", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.21, bodu=18, $$\frac{8}{6 \cdot \frac{-8}{14}}=\textcolor{white}{-2\frac{1}{3}}$$return { ["body"] = 18, ["id"] = "6rHXWr_0509_1456", ["obtiznost"] = 0.21, ["reseni"] = { ["float"] = -2.3333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 3 }, ["render"] = "\\frac{56}{-24}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{1}{3}", ["x"] = -2, ["y"] = 1, ["z"] = 3 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.21", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{14}", ["typ"] = "lomeno" }, ["render"] = "6 \\cdot \\frac{-8}{14}", ["typ"] = "krat" }, ["render"] = "\\frac{8}{6 \\cdot \\frac{-8}{14}}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.22, bodu=19, $$\frac{\frac{-8}{-5} \cdot 7}{4}=\textcolor{white}{2{,}8}$$return { ["body"] = 19, ["id"] = "qO1MoE_0509_1456", ["obtiznost"] = 0.22, ["reseni"] = { ["float"] = 2.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 5 }, ["render"] = "\\frac{56}{20}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{4}{5}", ["tex_float"] = "2{,}8", ["x"] = 2, ["y"] = 4, ["z"] = 5 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-5}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{-5} \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-8}{-5} \\cdot 7}{4}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.23, bodu=78, $$1\frac{4}{7} \cdot 4\frac{4}{7} - 2\frac{5}{7} \cdot -10=\textcolor{white}{34\frac{16}{49}}$$return { ["body"] = 78, ["id"] = "EfJXxg_0509_1456", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = 34.326530612245, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1682, ["jmenovatel"] = 49 }, ["render"] = "\\frac{11774}{343}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{16}{49}", ["x"] = 34, ["y"] = 16, ["z"] = 49 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.23", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} \\cdot 4\\frac{4}{7}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{7} \\cdot -10", ["typ"] = "krat" }, ["render"] = "1\\frac{4}{7} \\cdot 4\\frac{4}{7} - 2\\frac{5}{7} \\cdot -10", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.24, bodu=36, $$(7 - 8) \cdot (4\frac{4}{8} - 6)=\textcolor{white}{1{,}5}$$return { ["body"] = 36, ["id"] = "CSm3co_0509_1456", ["obtiznost"] = 0.44, ["reseni"] = { ["float"] = 1.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "\\frac{3}{2}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1}{2}", ["tex_float"] = "1{,}5", ["x"] = 1, ["y"] = 1, ["z"] = 2 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.24", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 - 8", ["typ"] = "minus" }, ["render"] = "(7 - 8)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} - 6", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{8} - 6)", ["typ"] = "zavorka" }, ["render"] = "(7 - 8) \\cdot (4\\frac{4}{8} - 6)", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.25, bodu=37, $$\frac{-12}{2\frac{4}{9} + (-12 - 9) + 9}=\textcolor{white}{1\frac{11}{43}}$$return { ["body"] = 37, ["id"] = "hXTHzT_0509_1456", ["obtiznost"] = 0.45, ["reseni"] = { ["float"] = 1.2558139534884, ["objekt"] = { ["hodnota"] = { ["citatel"] = 54, ["jmenovatel"] = 43 }, ["render"] = "\\frac{-108}{-86}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{11}{43}", ["x"] = 1, ["y"] = 11, ["z"] = 43 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.25", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "2\\frac{4}{9} + (-12 - 9)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} + (-12 - 9) + 9", ["typ"] = "plus" }, ["render"] = "\\frac{-12}{2\\frac{4}{9} + (-12 - 9) + 9}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.26, bodu=38, $$\frac{14}{-11 \cdot (9 + 3\frac{3}{6})}=\textcolor{white}{-\frac{28}{275}}$$return { ["body"] = 38, ["id"] = "gV2XYG_0509_1456", ["obtiznost"] = 0.46, ["reseni"] = { ["float"] = -0.10181818181818, ["objekt"] = { ["hodnota"] = { ["citatel"] = -28, ["jmenovatel"] = 275 }, ["render"] = "\\frac{28}{-275}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{28}{275}", ["y"] = -28, ["z"] = 275 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "9 + 3\\frac{3}{6}", ["typ"] = "plus" }, ["render"] = "(9 + 3\\frac{3}{6})", ["typ"] = "zavorka" }, ["render"] = "-11 \\cdot (9 + 3\\frac{3}{6})", ["typ"] = "krat" }, ["render"] = "\\frac{14}{-11 \\cdot (9 + 3\\frac{3}{6})}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.27, bodu=38, $$3\frac{2}{6} \cdot 12 \cdot 9 + 6=\textcolor{white}{366}$$return { ["body"] = 38, ["id"] = "bbWWtr_0509_1456", ["obtiznost"] = 0.47, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 366, ["jmenovatel"] = 1 }, ["render"] = "\\frac{366}{1}", ["typ"] = "cislo" }, ["tex"] = "366", ["tex_float"] = "366", ["x"] = 366 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.27", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "3\\frac{2}{6} \\cdot 12 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{6} \\cdot 12 \\cdot 9 + 6", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.28, bodu=39, $$\frac{-4 \cdot 13}{3\frac{4}{7} \cdot 9}=\textcolor{white}{-1\frac{139}{225}}$$return { ["body"] = 39, ["id"] = "9K1hjo_0509_1456", ["obtiznost"] = 0.48, ["reseni"] = { ["float"] = -1.6177777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = -364, ["jmenovatel"] = 225 }, ["render"] = "\\frac{-364}{225}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{139}{225}", ["x"] = -1, ["y"] = 139, ["z"] = 225 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{7} \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{-4 \\cdot 13}{3\\frac{4}{7} \\cdot 9}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.29, bodu=66, $$\frac{-9}{3\frac{5}{10} \cdot (2\frac{2}{4} \cdot -4)^2}=\textcolor{white}{-\frac{9}{350}}$$return { ["body"] = 66, ["id"] = "TwbMnv_0509_1456", ["obtiznost"] = 0.7304, ["reseni"] = { ["float"] = -0.025714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 350 }, ["render"] = "\\frac{-9}{350}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{9}{350}", ["y"] = -9, ["z"] = 350 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.29", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{4} \\cdot -4", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(2\\frac{2}{4} \\cdot -4)^2", ["typ"] = "mocnina" }, ["render"] = "3\\frac{5}{10} \\cdot (2\\frac{2}{4} \\cdot -4)^2", ["typ"] = "krat" }, ["render"] = "\\frac{-9}{3\\frac{5}{10} \\cdot (2\\frac{2}{4} \\cdot -4)^2}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.3, bodu=41, $$\frac{-11}{\frac{-8}{6 + 1\frac{2}{8} + 10}}=\textcolor{white}{23\frac{23}{32}}$$return { ["body"] = 41, ["id"] = "DB3YG6_0509_1456", ["obtiznost"] = 0.5, ["reseni"] = { ["float"] = 23.71875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 759, ["jmenovatel"] = 32 }, ["render"] = "\\frac{-759}{-32}", ["typ"] = "cislo" }, ["tex"] = "23\\frac{23}{32}", ["x"] = 23, ["y"] = 23, ["z"] = 32 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.3", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{8} + 10", ["typ"] = "plus" }, ["render"] = "6 + 1\\frac{2}{8} + 10", ["typ"] = "plus" }, ["render"] = "\\frac{-8}{6 + 1\\frac{2}{8} + 10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-11}{\\frac{-8}{6 + 1\\frac{2}{8} + 10}}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.31, bodu=25, $$\frac{-12 - (-7) - 6}{14}=\textcolor{white}{-\frac{11}{14}}$$return { ["body"] = 25, ["id"] = "BgXPj7_0509_1456", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = -0.78571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-11}{14}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{11}{14}", ["y"] = -11, ["z"] = 14 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-12 - (-7)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-12 - (-7) - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 - (-7) - 6}{14}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.32, bodu=43, $$\frac{8 + 4\frac{2}{4}}{\frac{5}{12} - (-8)}=\textcolor{white}{1\frac{49}{101}}$$return { ["body"] = 43, ["id"] = "gWlKhp_0509_1456", ["obtiznost"] = 0.52, ["reseni"] = { ["float"] = 1.4851485148515, ["objekt"] = { ["hodnota"] = { ["citatel"] = 150, ["jmenovatel"] = 101 }, ["render"] = "\\frac{300}{202}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{49}{101}", ["x"] = 1, ["y"] = 49, ["z"] = 101 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "8 + 4\\frac{2}{4}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{12} - (-8)", ["typ"] = "minus" }, ["render"] = "\\frac{8 + 4\\frac{2}{4}}{\\frac{5}{12} - (-8)}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.33, bodu=27, $$\frac{7}{4 \cdot -8} + 9=\textcolor{white}{8\frac{25}{32}}$$return { ["body"] = 27, ["id"] = "zmlUx6_0509_1456", ["obtiznost"] = 0.33, ["reseni"] = { ["float"] = 8.78125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 281, ["jmenovatel"] = 32 }, ["render"] = "\\frac{281}{32}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{25}{32}", ["x"] = 8, ["y"] = 25, ["z"] = 32 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4 \\cdot -8", ["typ"] = "krat" }, ["render"] = "\\frac{7}{4 \\cdot -8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{4 \\cdot -8} + 9", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.34, bodu=45, $$-11 - (9 + \frac{2\frac{1}{8}}{6} - 8)=\textcolor{white}{-12\frac{17}{48}}$$return { ["body"] = 45, ["id"] = "ZyCRSl_0509_1456", ["obtiznost"] = 0.54, ["reseni"] = { ["float"] = -12.354166666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -593, ["jmenovatel"] = 48 }, ["render"] = "\\frac{-593}{48}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{17}{48}", ["x"] = -12, ["y"] = 17, ["z"] = 48 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.34", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{8}}{6}", ["typ"] = "lomeno" }, ["render"] = "9 + \\frac{2\\frac{1}{8}}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + \\frac{2\\frac{1}{8}}{6} - 8", ["typ"] = "minus" }, ["render"] = "(9 + \\frac{2\\frac{1}{8}}{6} - 8)", ["typ"] = "zavorka" }, ["render"] = "-11 - (9 + \\frac{2\\frac{1}{8}}{6} - 8)", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.35, bodu=15, $$(12 + 5 - 7)^2 + (-5 \cdot 15)=\textcolor{white}{25}$$return { ["body"] = 15, ["id"] = "UMxKYA_0509_1456", ["obtiznost"] = 0.3904, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 1 }, ["render"] = "\\frac{25}{1}", ["typ"] = "cislo" }, ["tex"] = "25", ["x"] = 25 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.35", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "5 - 7", ["typ"] = "minus" }, ["render"] = "12 + 5 - 7", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(12 + 5 - 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 15", ["typ"] = "krat" }, ["render"] = "(12 + 5 - 7)^2 + (-5 \\cdot 15)", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.36, bodu=29, $$\frac{-7 - 9}{5 \cdot 8}=\textcolor{white}{-0{,}4}$$return { ["body"] = 29, ["id"] = "nvCNWY_0509_1456", ["obtiznost"] = 0.36, ["reseni"] = { ["float"] = -0.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-16}{40}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2}{5}", ["tex_float"] = "-0{,}4", ["y"] = -2, ["z"] = 5 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.36", ["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"] = "minus" }, ["c2"] = { ["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" }, ["render"] = "\\frac{-7 - 9}{5 \\cdot 8}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.37, bodu=48, $$\frac{1\frac{1}{4} - 13}{-12} \cdot -4=\textcolor{white}{-3\frac{11}{12}}$$return { ["body"] = 48, ["id"] = "YipLP4_0509_1456", ["obtiznost"] = 0.57, ["reseni"] = { ["float"] = -3.9166666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -47, ["jmenovatel"] = 12 }, ["render"] = "\\frac{-188}{48}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{11}{12}", ["x"] = -3, ["y"] = 11, ["z"] = 12 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.37", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} - 13", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{4} - 13}{-12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{4} - 13}{-12} \\cdot -4", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.38, bodu=97, $$3\frac{5}{7} \cdot 4\frac{2}{8} \cdot 3\frac{2}{4} \cdot -8=\textcolor{white}{-442}$$return { ["body"] = 97, ["id"] = "OZkbw8_0509_1456", ["obtiznost"] = 0.98, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -442, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-3094}{7}", ["typ"] = "cislo" }, ["tex"] = "-442", ["x"] = -442 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.38", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} \\cdot 3\\frac{2}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} \\cdot 3\\frac{2}{4} \\cdot -8", ["typ"] = "krat" }, ["render"] = "3\\frac{5}{7} \\cdot 4\\frac{2}{8} \\cdot 3\\frac{2}{4} \\cdot -8", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.39, bodu=50, $$-15 - (4\frac{5}{10} + 14 - 5) - (-5)=\textcolor{white}{-23{,}5}$$return { ["body"] = 50, ["id"] = "Pio98E_0509_1456", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = -23.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -47, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-47}{2}", ["typ"] = "cislo" }, ["tex"] = "-23\\frac{1}{2}", ["tex_float"] = "-23{,}5", ["x"] = -23, ["y"] = 1, ["z"] = 2 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{10} + 14", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{10} + 14 - 5", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{10} + 14 - 5)", ["typ"] = "zavorka" }, ["render"] = "-15 - (4\\frac{5}{10} + 14 - 5)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-15 - (4\\frac{5}{10} + 14 - 5) - (-5)", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.4, bodu=32, $$10 \cdot 12 - (\frac{9}{15} + (-7))=\textcolor{white}{126{,}4}$$return { ["body"] = 32, ["id"] = "IRqUZW_0509_1456", ["obtiznost"] = 0.4, ["reseni"] = { ["float"] = 126.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 632, ["jmenovatel"] = 5 }, ["render"] = "\\frac{632}{5}", ["typ"] = "cislo" }, ["tex"] = "126\\frac{2}{5}", ["tex_float"] = "126{,}4", ["x"] = 126, ["y"] = 2, ["z"] = 5 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{15} + (-7)", ["typ"] = "plus" }, ["render"] = "(\\frac{9}{15} + (-7))", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot 12 - (\\frac{9}{15} + (-7))", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.41, bodu=33, $$\frac{\frac{-6}{-5}}{-6 - 9 \cdot -13}=\textcolor{white}{\frac{2}{185}}$$return { ["body"] = 33, ["id"] = "N8smmP_0509_1456", ["obtiznost"] = 0.41, ["reseni"] = { ["float"] = 0.010810810810811, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 185 }, ["render"] = "\\frac{6}{555}", ["typ"] = "cislo" }, ["tex"] = "\\frac{2}{185}", ["y"] = 2, ["z"] = 185 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{-5}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "9 \\cdot -13", ["typ"] = "krat" }, ["render"] = "-6 - 9 \\cdot -13", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{-6}{-5}}{-6 - 9 \\cdot -13}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.42, bodu=63, $$3\frac{4}{10} \cdot ((8 + 7)^2 - \frac{5}{-14 + (-8)})=\textcolor{white}{765\frac{17}{22}}$$return { ["body"] = 63, ["id"] = "knoIlf_0509_1456", ["obtiznost"] = 0.7104, ["reseni"] = { ["float"] = 765.77272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = 16847, ["jmenovatel"] = 22 }, ["render"] = "\\frac{84235}{110}", ["typ"] = "cislo" }, ["tex"] = "765\\frac{17}{22}", ["x"] = 765, ["y"] = 17, ["z"] = 22 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "8 + 7", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(8 + 7)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-14 + (-8)", ["typ"] = "plus" }, ["render"] = "\\frac{5}{-14 + (-8)}", ["typ"] = "lomeno" }, ["render"] = "(8 + 7)^2 - \\frac{5}{-14 + (-8)}", ["typ"] = "minus" }, ["render"] = "((8 + 7)^2 - \\frac{5}{-14 + (-8)})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{10} \\cdot ((8 + 7)^2 - \\frac{5}{-14 + (-8)})", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.43, bodu=78, $$(2\frac{4}{8} + 12) \cdot \frac{-4}{\frac{3\frac{5}{7}}{9}}=\textcolor{white}{-140\frac{7}{13}}$$return { ["body"] = 78, ["id"] = "RAsk4b_0509_1456", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = -140.53846153846, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1827, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-3654}{26}", ["typ"] = "cislo" }, ["tex"] = "-140\\frac{7}{13}", ["x"] = -140, ["y"] = 7, ["z"] = 13 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.43", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{8} + 12", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{8} + 12)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{7}}{9}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-4}{\\frac{3\\frac{5}{7}}{9}}", ["typ"] = "lomeno" }, ["render"] = "(2\\frac{4}{8} + 12) \\cdot \\frac{-4}{\\frac{3\\frac{5}{7}}{9}}", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.44, bodu=96, $$(1\frac{4}{6} + (-3))^4 \cdot (12 \cdot 2\frac{4}{9} - 10)=\textcolor{white}{61\frac{25}{243}}$$return { ["body"] = 96, ["id"] = "9mZjsD_0509_1456", ["obtiznost"] = 0.9748, ["reseni"] = { ["float"] = 61.102880658436, ["objekt"] = { ["hodnota"] = { ["citatel"] = 14848, ["jmenovatel"] = 243 }, ["render"] = "\\frac{14848}{243}", ["typ"] = "cislo" }, ["tex"] = "61\\frac{25}{243}", ["x"] = 61, ["y"] = 25, ["z"] = 243 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.44", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{6} + (-3)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(1\\frac{4}{6} + (-3))^4", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 2\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 2\\frac{4}{9} - 10", ["typ"] = "minus" }, ["render"] = "(12 \\cdot 2\\frac{4}{9} - 10)", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{4}{6} + (-3))^4 \\cdot (12 \\cdot 2\\frac{4}{9} - 10)", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.45, bodu=114, $$(4\frac{5}{10} - (3 + 4\frac{3}{7})) \cdot (\frac{-10}{16})^3=\textcolor{white}{\frac{5125}{7168}}$$return { ["body"] = 114, ["id"] = "Jyz6Ck_0509_1456", ["obtiznost"] = 1.1048, ["reseni"] = { ["float"] = 0.71498325892857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5125, ["jmenovatel"] = 7168 }, ["render"] = "\\frac{5125}{7168}", ["typ"] = "cislo" }, ["tex"] = "\\frac{5125}{7168}", ["y"] = 5125, ["z"] = 7168 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.45", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "3 + 4\\frac{3}{7}", ["typ"] = "plus" }, ["render"] = "(3 + 4\\frac{3}{7})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{5}{10} - (3 + 4\\frac{3}{7})", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{10} - (3 + 4\\frac{3}{7}))", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{16}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-10}{16})^3", ["typ"] = "mocnina" }, ["render"] = "(4\\frac{5}{10} - (3 + 4\\frac{3}{7})) \\cdot (\\frac{-10}{16})^3", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.46, bodu=93, $$11 \cdot \frac{4\frac{1}{8}}{(12 + 15)^2 - 8}=\textcolor{white}{\frac{363}{5768}}$$return { ["body"] = 93, ["id"] = "ojY9Gr_0509_1456", ["obtiznost"] = 0.952, ["reseni"] = { ["float"] = 0.062933425797503, ["objekt"] = { ["hodnota"] = { ["citatel"] = 363, ["jmenovatel"] = 5768 }, ["render"] = "\\frac{363}{5768}", ["typ"] = "cislo" }, ["tex"] = "\\frac{363}{5768}", ["y"] = 363, ["z"] = 5768 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.46", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "12 + 15", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(12 + 15)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(12 + 15)^2 - 8", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{1}{8}}{(12 + 15)^2 - 8}", ["typ"] = "lomeno" }, ["render"] = "11 \\cdot \\frac{4\\frac{1}{8}}{(12 + 15)^2 - 8}", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.47, bodu=47, $$(\frac{\frac{12}{12}}{15 \cdot (-15 + 14)})^2=\textcolor{white}{\frac{1}{225}}$$return { ["body"] = 47, ["id"] = "hEI0CN_0509_1456", ["obtiznost"] = 0.5604, ["reseni"] = { ["float"] = 0.0044444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 225 }, ["render"] = "\\frac{1}{225}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{225}", ["y"] = 1, ["z"] = 225 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.47", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{12}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-15 + 14", ["typ"] = "plus" }, ["render"] = "(-15 + 14)", ["typ"] = "zavorka" }, ["render"] = "15 \\cdot (-15 + 14)", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{12}{12}}{15 \\cdot (-15 + 14)}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{\\frac{12}{12}}{15 \\cdot (-15 + 14)})^2", ["typ"] = "mocnina" } }

seed: SC3RzuaY99dKCEWNFJH4_0.48, bodu=19, $$-7 \cdot (11 + 14 - 5) - (-13)=\textcolor{white}{-127}$$return { ["body"] = 19, ["id"] = "ClXTH0_0509_1456", ["obtiznost"] = 0.48, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -127, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-127}{1}", ["typ"] = "cislo" }, ["tex"] = "-127", ["tex_float"] = "-127", ["x"] = -127 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "14 - 5", ["typ"] = "minus" }, ["render"] = "11 + 14 - 5", ["typ"] = "plus" }, ["render"] = "(11 + 14 - 5)", ["typ"] = "zavorka" }, ["render"] = "-7 \\cdot (11 + 14 - 5)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot (11 + 14 - 5) - (-13)", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.49, bodu=52, $$\frac{(13 + 4)^2}{(12 + 10) \cdot 10}=\textcolor{white}{1\frac{69}{220}}$$return { ["body"] = 52, ["id"] = "aHo3gg_0509_1456", ["obtiznost"] = 0.606, ["reseni"] = { ["float"] = 1.3136363636364, ["objekt"] = { ["hodnota"] = { ["citatel"] = 289, ["jmenovatel"] = 220 }, ["render"] = "\\frac{289}{220}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{69}{220}", ["x"] = 1, ["y"] = 69, ["z"] = 220 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.49", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "13 + 4", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(13 + 4)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "12 + 10", ["typ"] = "plus" }, ["render"] = "(12 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(12 + 10) \\cdot 10", ["typ"] = "krat" }, ["render"] = "\\frac{(13 + 4)^2}{(12 + 10) \\cdot 10}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.5, bodu=73, $$\frac{\frac{-13}{1\frac{3}{8}}}{(\frac{11}{-10})^2}=\textcolor{white}{-7\frac{1083}{1331}}$$return { ["body"] = 73, ["id"] = "MvGIxf_0509_1456", ["obtiznost"] = 0.7884, ["reseni"] = { ["float"] = -7.8136739293764, ["objekt"] = { ["hodnota"] = { ["citatel"] = -10400, ["jmenovatel"] = 1331 }, ["render"] = "\\frac{-10400}{1331}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{1083}{1331}", ["x"] = -7, ["y"] = 1083, ["z"] = 1331 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{1\\frac{3}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{-10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{11}{-10})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{-13}{1\\frac{3}{8}}}{(\\frac{11}{-10})^2}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.51, bodu=88, $$\frac{12}{4\frac{5}{7}} \cdot 12 \cdot (6 - 2\frac{5}{7})=\textcolor{white}{100\frac{4}{11}}$$return { ["body"] = 88, ["id"] = "YoD0fZ_0509_1456", ["obtiznost"] = 0.91, ["reseni"] = { ["float"] = 100.36363636364, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1104, ["jmenovatel"] = 11 }, ["render"] = "\\frac{7728}{77}", ["typ"] = "cislo" }, ["tex"] = "100\\frac{4}{11}", ["x"] = 100, ["y"] = 4, ["z"] = 11 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{4\\frac{5}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "6 - 2\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(6 - 2\\frac{5}{7})", ["typ"] = "zavorka" }, ["render"] = "12 \\cdot (6 - 2\\frac{5}{7})", ["typ"] = "krat" }, ["render"] = "\\frac{12}{4\\frac{5}{7}} \\cdot 12 \\cdot (6 - 2\\frac{5}{7})", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.52, bodu=64, $$\frac{12}{-13 \cdot -9} \cdot 4\frac{4}{8}=\textcolor{white}{\frac{6}{13}}$$return { ["body"] = 64, ["id"] = "KfIzmp_0509_1456", ["obtiznost"] = 0.72, ["reseni"] = { ["float"] = 0.46153846153846, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 13 }, ["render"] = "\\frac{36}{78}", ["typ"] = "cislo" }, ["tex"] = "\\frac{6}{13}", ["y"] = 6, ["z"] = 13 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot -9", ["typ"] = "krat" }, ["render"] = "\\frac{12}{-13 \\cdot -9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{-13 \\cdot -9} \\cdot 4\\frac{4}{8}", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.53, bodu=66, $$\frac{-13 \cdot \frac{-7}{-5 - 4\frac{4}{9}}}{7}=\textcolor{white}{-1\frac{32}{85}}$$return { ["body"] = 66, ["id"] = "3ydowD_0509_1456", ["obtiznost"] = 0.73, ["reseni"] = { ["float"] = -1.3764705882353, ["objekt"] = { ["hodnota"] = { ["citatel"] = -117, ["jmenovatel"] = 85 }, ["render"] = "\\frac{-819}{595}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{32}{85}", ["x"] = -1, ["y"] = 32, ["z"] = 85 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.53", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "-5 - 4\\frac{4}{9}", ["typ"] = "minus" }, ["render"] = "\\frac{-7}{-5 - 4\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "-13 \\cdot \\frac{-7}{-5 - 4\\frac{4}{9}}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-13 \\cdot \\frac{-7}{-5 - 4\\frac{4}{9}}}{7}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.54, bodu=92, $$(13 + 2\frac{3}{8} \cdot 6 + 10) \cdot (7 - 3\frac{1}{4})=\textcolor{white}{139\frac{11}{16}}$$return { ["body"] = 92, ["id"] = "TPkdaQ_0509_1456", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = 139.6875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2235, ["jmenovatel"] = 16 }, ["render"] = "\\frac{2235}{16}", ["typ"] = "cislo" }, ["tex"] = "139\\frac{11}{16}", ["x"] = 139, ["y"] = 11, ["z"] = 16 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.54", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} \\cdot 6", ["typ"] = "krat" }, ["render"] = "13 + 2\\frac{3}{8} \\cdot 6", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "13 + 2\\frac{3}{8} \\cdot 6 + 10", ["typ"] = "plus" }, ["render"] = "(13 + 2\\frac{3}{8} \\cdot 6 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "7 - 3\\frac{1}{4}", ["typ"] = "minus" }, ["render"] = "(7 - 3\\frac{1}{4})", ["typ"] = "zavorka" }, ["render"] = "(13 + 2\\frac{3}{8} \\cdot 6 + 10) \\cdot (7 - 3\\frac{1}{4})", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.55, bodu=69, $$-10 \cdot 16 \cdot 4\frac{4}{7} + (10 + (-14))^2=\textcolor{white}{-715\frac{3}{7}}$$return { ["body"] = 69, ["id"] = "JXMOEU_0509_1456", ["obtiznost"] = 0.7568, ["reseni"] = { ["float"] = -715.42857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5008, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-5008}{7}", ["typ"] = "cislo" }, ["tex"] = "-715\\frac{3}{7}", ["x"] = -715, ["y"] = 3, ["z"] = 7 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.55", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "16 \\cdot 4\\frac{4}{7}", ["typ"] = "krat" }, ["render"] = "-10 \\cdot 16 \\cdot 4\\frac{4}{7}", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "10 + (-14)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(10 + (-14))^2", ["typ"] = "mocnina" }, ["render"] = "-10 \\cdot 16 \\cdot 4\\frac{4}{7} + (10 + (-14))^2", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.56, bodu=69, $$\frac{15}{(-13 + 12)^2 + \frac{3\frac{2}{6}}{5} + 11}=\textcolor{white}{1\frac{7}{38}}$$return { ["body"] = 69, ["id"] = "zb5Qrj_0509_1456", ["obtiznost"] = 0.7608, ["reseni"] = { ["float"] = 1.1842105263158, ["objekt"] = { ["hodnota"] = { ["citatel"] = 45, ["jmenovatel"] = 38 }, ["render"] = "\\frac{45}{38}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{7}{38}", ["x"] = 1, ["y"] = 7, ["z"] = 38 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.56", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-13 + 12", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-13 + 12)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{6}}{5}", ["typ"] = "lomeno" }, ["render"] = "(-13 + 12)^2 + \\frac{3\\frac{2}{6}}{5}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(-13 + 12)^2 + \\frac{3\\frac{2}{6}}{5} + 11", ["typ"] = "plus" }, ["render"] = "\\frac{15}{(-13 + 12)^2 + \\frac{3\\frac{2}{6}}{5} + 11}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.57, bodu=70, $$\frac{-13 - 2\frac{3}{9}}{-7} \cdot (13 + 10)=\textcolor{white}{50\frac{8}{21}}$$return { ["body"] = 70, ["id"] = "PX1YUX_0509_1456", ["obtiznost"] = 0.77, ["reseni"] = { ["float"] = 50.380952380952, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1058, ["jmenovatel"] = 21 }, ["render"] = "\\frac{1058}{21}", ["typ"] = "cislo" }, ["tex"] = "50\\frac{8}{21}", ["x"] = 50, ["y"] = 8, ["z"] = 21 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "-13 - 2\\frac{3}{9}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-13 - 2\\frac{3}{9}}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "13 + 10", ["typ"] = "plus" }, ["render"] = "(13 + 10)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-13 - 2\\frac{3}{9}}{-7} \\cdot (13 + 10)", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.58, bodu=71, $$\frac{15}{3\frac{3}{8} - (-12)} + \frac{11}{8}=\textcolor{white}{2\frac{115}{328}}$$return { ["body"] = 71, ["id"] = "gLmGGq_0509_1456", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = 2.3506097560976, ["objekt"] = { ["hodnota"] = { ["citatel"] = 771, ["jmenovatel"] = 328 }, ["render"] = "\\frac{771}{328}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{115}{328}", ["x"] = 2, ["y"] = 115, ["z"] = 328 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{8} - (-12)", ["typ"] = "minus" }, ["render"] = "\\frac{15}{3\\frac{3}{8} - (-12)}", ["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{15}{3\\frac{3}{8} - (-12)} + \\frac{11}{8}", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.59, bodu=74, $$15 \cdot (-8 - 2\frac{4}{8} - (-10 - (-12))^4)=\textcolor{white}{-397{,}5}$$return { ["body"] = 74, ["id"] = "q53sCH_0509_1456", ["obtiznost"] = 0.7968, ["reseni"] = { ["float"] = -397.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -795, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-795}{2}", ["typ"] = "cislo" }, ["tex"] = "-397\\frac{1}{2}", ["tex_float"] = "-397{,}5", ["x"] = -397, ["y"] = 1, ["z"] = 2 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.59", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-8 - 2\\frac{4}{8}", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-10 - (-12)", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(-10 - (-12))^4", ["typ"] = "mocnina" }, ["render"] = "-8 - 2\\frac{4}{8} - (-10 - (-12))^4", ["typ"] = "minus" }, ["render"] = "(-8 - 2\\frac{4}{8} - (-10 - (-12))^4)", ["typ"] = "zavorka" }, ["render"] = "15 \\cdot (-8 - 2\\frac{4}{8} - (-10 - (-12))^4)", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.6, bodu=100, $$\frac{(3\frac{2}{6} + 11 - (-17)) \cdot (-7 + 4\frac{2}{6})}{12 + (-7)}=\textcolor{white}{-16\frac{32}{45}}$$return { ["body"] = 100, ["id"] = "ynmMkx_0509_1456", ["obtiznost"] = 1, ["reseni"] = { ["float"] = -16.711111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -752, ["jmenovatel"] = 45 }, ["render"] = "\\frac{-752}{45}", ["typ"] = "cislo" }, ["tex"] = "-16\\frac{32}{45}", ["x"] = -16, ["y"] = 32, ["z"] = 45 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "11 - (-17)", ["typ"] = "minus" }, ["render"] = "3\\frac{2}{6} + 11 - (-17)", ["typ"] = "plus" }, ["render"] = "(3\\frac{2}{6} + 11 - (-17))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-7 + 4\\frac{2}{6}", ["typ"] = "plus" }, ["render"] = "(-7 + 4\\frac{2}{6})", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{2}{6} + 11 - (-17)) \\cdot (-7 + 4\\frac{2}{6})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "12 + (-7)", ["typ"] = "plus" }, ["render"] = "\\frac{(3\\frac{2}{6} + 11 - (-17)) \\cdot (-7 + 4\\frac{2}{6})}{12 + (-7)}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.61, bodu=101, $$\frac{\frac{13 \cdot (4\frac{2}{9} + (-12))}{-11 + 4\frac{2}{7}}}{7}=\textcolor{white}{2\frac{64}{423}}$$return { ["body"] = 101, ["id"] = "FPJHTM_0509_1456", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = 2.1513002364066, ["objekt"] = { ["hodnota"] = { ["citatel"] = 910, ["jmenovatel"] = 423 }, ["render"] = "\\frac{6370}{2961}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{64}{423}", ["x"] = 2, ["y"] = 64, ["z"] = 423 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{9} + (-12)", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{9} + (-12))", ["typ"] = "zavorka" }, ["render"] = "13 \\cdot (4\\frac{2}{9} + (-12))", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "-11 + 4\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{13 \\cdot (4\\frac{2}{9} + (-12))}{-11 + 4\\frac{2}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{13 \\cdot (4\\frac{2}{9} + (-12))}{-11 + 4\\frac{2}{7}}}{7}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.62, bodu=76, $$\frac{7}{\frac{14 \cdot -10}{2\frac{2}{4} \cdot -4}}=\textcolor{white}{0{,}5}$$return { ["body"] = 76, ["id"] = "i2GEyi_0509_1456", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = 0.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 2 }, ["render"] = "\\frac{7}{14}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{2}", ["tex_float"] = "0{,}5", ["y"] = 1, ["z"] = 2 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.62", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "14 \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{4} \\cdot -4", ["typ"] = "krat" }, ["render"] = "\\frac{14 \\cdot -10}{2\\frac{2}{4} \\cdot -4}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7}{\\frac{14 \\cdot -10}{2\\frac{2}{4} \\cdot -4}}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.63, bodu=78, $$14 - (14 - 2\frac{5}{10} \cdot -11 - (8 + 13))=\textcolor{white}{-6{,}5}$$return { ["body"] = 78, ["id"] = "zKjfMB_0509_1456", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = -6.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-13}{2}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{1}{2}", ["tex_float"] = "-6{,}5", ["x"] = -6, ["y"] = 1, ["z"] = 2 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.63", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} \\cdot -11", ["typ"] = "krat" }, ["render"] = "14 - 2\\frac{5}{10} \\cdot -11", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "8 + 13", ["typ"] = "plus" }, ["render"] = "(8 + 13)", ["typ"] = "zavorka" }, ["render"] = "14 - 2\\frac{5}{10} \\cdot -11 - (8 + 13)", ["typ"] = "minus" }, ["render"] = "(14 - 2\\frac{5}{10} \\cdot -11 - (8 + 13))", ["typ"] = "zavorka" }, ["render"] = "14 - (14 - 2\\frac{5}{10} \\cdot -11 - (8 + 13))", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.64, bodu=149, $$4 + \frac{(3\frac{2}{8} - 10)^2}{10} + \frac{4\frac{2}{5}}{-10}=\textcolor{white}{8\frac{93}{800}}$$return { ["body"] = 149, ["id"] = "IyjtGW_0509_1456", ["obtiznost"] = 1.338, ["reseni"] = { ["float"] = 8.11625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6493, ["jmenovatel"] = 800 }, ["render"] = "\\frac{6493}{800}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{93}{800}", ["x"] = 8, ["y"] = 93, ["z"] = 800 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.64", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{8} - 10", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{2}{8} - 10)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{(3\\frac{2}{8} - 10)^2}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{5}}{-10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(3\\frac{2}{8} - 10)^2}{10} + \\frac{4\\frac{2}{5}}{-10}", ["typ"] = "plus" }, ["render"] = "4 + \\frac{(3\\frac{2}{8} - 10)^2}{10} + \\frac{4\\frac{2}{5}}{-10}", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.65, bodu=167, $$14 + 2\frac{1}{9} + 4\frac{4}{8} - 4\frac{5}{8} \cdot 3\frac{5}{8} \cdot -14=\textcolor{white}{255\frac{95}{288}}$$return { ["body"] = 167, ["id"] = "hs23cr_0509_1456", ["obtiznost"] = 1.45, ["reseni"] = { ["float"] = 255.32986111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 73535, ["jmenovatel"] = 288 }, ["render"] = "\\frac{73535}{288}", ["typ"] = "cislo" }, ["tex"] = "255\\frac{95}{288}", ["x"] = 255, ["y"] = 95, ["z"] = 288 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "14 + 2\\frac{1}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{8} \\cdot 3\\frac{5}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{8} \\cdot 3\\frac{5}{8} \\cdot -14", ["typ"] = "krat" }, ["render"] = "4\\frac{4}{8} - 4\\frac{5}{8} \\cdot 3\\frac{5}{8} \\cdot -14", ["typ"] = "minus" }, ["render"] = "14 + 2\\frac{1}{9} + 4\\frac{4}{8} - 4\\frac{5}{8} \\cdot 3\\frac{5}{8} \\cdot -14", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.66, bodu=85, $$(-13 - 4\frac{2}{6} - (-13 - (-9))^3) \cdot \frac{6}{-10}=\textcolor{white}{-28}$$return { ["body"] = 85, ["id"] = "ZKpeTg_0509_1456", ["obtiznost"] = 0.886, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -28, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-420}{15}", ["typ"] = "cislo" }, ["tex"] = "-28", ["x"] = -28 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.66", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "-13 - 4\\frac{2}{6}", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-13 - (-9)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-13 - (-9))^3", ["typ"] = "mocnina" }, ["render"] = "-13 - 4\\frac{2}{6} - (-13 - (-9))^3", ["typ"] = "minus" }, ["render"] = "(-13 - 4\\frac{2}{6} - (-13 - (-9))^3)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{6}{-10}", ["typ"] = "lomeno" }, ["render"] = "(-13 - 4\\frac{2}{6} - (-13 - (-9))^3) \\cdot \\frac{6}{-10}", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.67, bodu=170, $$\frac{16 - 3\frac{3}{6}}{4\frac{5}{8}} \cdot (-15 - 3\frac{2}{3} - 1\frac{1}{3})=\textcolor{white}{-54\frac{2}{37}}$$return { ["body"] = 170, ["id"] = "t47i9w_0509_1456", ["obtiznost"] = 1.47, ["reseni"] = { ["float"] = -54.054054054054, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2000, ["jmenovatel"] = 37 }, ["render"] = "\\frac{-2000}{37}", ["typ"] = "cislo" }, ["tex"] = "-54\\frac{2}{37}", ["x"] = -54, ["y"] = 2, ["z"] = 37 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "16 - 3\\frac{3}{6}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{16 - 3\\frac{3}{6}}{4\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "-15 - 3\\frac{2}{3}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "-15 - 3\\frac{2}{3} - 1\\frac{1}{3}", ["typ"] = "minus" }, ["render"] = "(-15 - 3\\frac{2}{3} - 1\\frac{1}{3})", ["typ"] = "zavorka" }, ["render"] = "\\frac{16 - 3\\frac{3}{6}}{4\\frac{5}{8}} \\cdot (-15 - 3\\frac{2}{3} - 1\\frac{1}{3})", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.68, bodu=140, $$\frac{3\frac{5}{12} - 11}{3\frac{5}{12}} + \frac{4\frac{2}{9}}{6} - 10=\textcolor{white}{-11\frac{571}{1107}}$$return { ["body"] = 140, ["id"] = "omXOpf_0509_1456", ["obtiznost"] = 1.28, ["reseni"] = { ["float"] = -11.515808491418, ["objekt"] = { ["hodnota"] = { ["citatel"] = -12748, ["jmenovatel"] = 1107 }, ["render"] = "\\frac{-12748}{1107}", ["typ"] = "cislo" }, ["tex"] = "-11\\frac{571}{1107}", ["x"] = -11, ["y"] = 571, ["z"] = 1107 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{12} - 11", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{12} - 11}{3\\frac{5}{12}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{9}}{6}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{5}{12} - 11}{3\\frac{5}{12}} + \\frac{4\\frac{2}{9}}{6}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{12} - 11}{3\\frac{5}{12}} + \\frac{4\\frac{2}{9}}{6} - 10", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.69, bodu=61, $$-7 + 13 \cdot (8 + \frac{8}{-12}) - (-10)=\textcolor{white}{98\frac{1}{3}}$$return { ["body"] = 61, ["id"] = "XELNG0_0509_1456", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = 98.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 295, ["jmenovatel"] = 3 }, ["render"] = "\\frac{295}{3}", ["typ"] = "cislo" }, ["tex"] = "98\\frac{1}{3}", ["x"] = 98, ["y"] = 1, ["z"] = 3 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "8 + \\frac{8}{-12}", ["typ"] = "plus" }, ["render"] = "(8 + \\frac{8}{-12})", ["typ"] = "zavorka" }, ["render"] = "13 \\cdot (8 + \\frac{8}{-12})", ["typ"] = "krat" }, ["render"] = "-7 + 13 \\cdot (8 + \\frac{8}{-12})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-7 + 13 \\cdot (8 + \\frac{8}{-12}) - (-10)", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.7, bodu=143, $$\frac{4\frac{1}{6} + 14 + (-7)}{\frac{-6}{3\frac{4}{11}}} \cdot 4\frac{3}{7}=\textcolor{white}{-27\frac{2005}{2772}}$$return { ["body"] = 143, ["id"] = "eHTORZ_0509_1456", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = -27.723304473304, ["objekt"] = { ["hodnota"] = { ["citatel"] = -76849, ["jmenovatel"] = 2772 }, ["render"] = "\\frac{-76849}{2772}", ["typ"] = "cislo" }, ["tex"] = "-27\\frac{2005}{2772}", ["x"] = -27, ["y"] = 2005, ["z"] = 2772 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "4\\frac{1}{6} + 14 + (-7)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{3\\frac{4}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4\\frac{1}{6} + 14 + (-7)}{\\frac{-6}{3\\frac{4}{11}}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{6} + 14 + (-7)}{\\frac{-6}{3\\frac{4}{11}}} \\cdot 4\\frac{3}{7}", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.71, bodu=88, $$9 \cdot 18 + 12 \cdot 6 \cdot 4\frac{2}{7}=\textcolor{white}{470\frac{4}{7}}$$return { ["body"] = 88, ["id"] = "3KsZkM_0509_1456", ["obtiznost"] = 0.91, ["reseni"] = { ["float"] = 470.57142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3294, ["jmenovatel"] = 7 }, ["render"] = "\\frac{3294}{7}", ["typ"] = "cislo" }, ["tex"] = "470\\frac{4}{7}", ["x"] = 470, ["y"] = 4, ["z"] = 7 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 18", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 4\\frac{2}{7}", ["typ"] = "krat" }, ["render"] = "12 \\cdot 6 \\cdot 4\\frac{2}{7}", ["typ"] = "krat" }, ["render"] = "9 \\cdot 18 + 12 \\cdot 6 \\cdot 4\\frac{2}{7}", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.72, bodu=116, $$(-13 - \frac{2\frac{3}{7} \cdot 9}{1\frac{3}{7}}) \cdot 11=\textcolor{white}{-311{,}3}$$return { ["body"] = 116, ["id"] = "uKlHHh_0509_1456", ["obtiznost"] = 1.12, ["reseni"] = { ["float"] = -311.3, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3113, ["jmenovatel"] = 10 }, ["render"] = "\\frac{-3113}{10}", ["typ"] = "cislo" }, ["tex"] = "-311\\frac{3}{10}", ["tex_float"] = "-311{,}3", ["x"] = -311, ["y"] = 3, ["z"] = 10 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.72", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{7} \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{7} \\cdot 9}{1\\frac{3}{7}}", ["typ"] = "lomeno" }, ["render"] = "-13 - \\frac{2\\frac{3}{7} \\cdot 9}{1\\frac{3}{7}}", ["typ"] = "minus" }, ["render"] = "(-13 - \\frac{2\\frac{3}{7} \\cdot 9}{1\\frac{3}{7}})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(-13 - \\frac{2\\frac{3}{7} \\cdot 9}{1\\frac{3}{7}}) \\cdot 11", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.73, bodu=180, $$\frac{\frac{4\frac{4}{6}}{4\frac{4}{9}} - (-15)}{3\frac{3}{13} \cdot 1\frac{5}{14}}=\textcolor{white}{3\frac{251}{380}}$$return { ["body"] = 180, ["id"] = "iqvx37_0509_1456", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = 3.6605263157895, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1391, ["jmenovatel"] = 380 }, ["render"] = "\\frac{4173}{1140}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{251}{380}", ["x"] = 3, ["y"] = 251, ["z"] = 380 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{6}}{4\\frac{4}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{6}}{4\\frac{4}{9}} - (-15)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{3}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 14 }, ["render"] = "1\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{13} \\cdot 1\\frac{5}{14}", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{4\\frac{4}{6}}{4\\frac{4}{9}} - (-15)}{3\\frac{3}{13} \\cdot 1\\frac{5}{14}}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.74, bodu=119, $$14 + (12 + 1\frac{3}{11}) \cdot -12 \cdot (2\frac{3}{7} - (-11))=\textcolor{white}{-2124\frac{62}{77}}$$return { ["body"] = 119, ["id"] = "wlNaNW_0509_1456", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = -2124.8051948052, ["objekt"] = { ["hodnota"] = { ["citatel"] = -163610, ["jmenovatel"] = 77 }, ["render"] = "\\frac{-163610}{77}", ["typ"] = "cislo" }, ["tex"] = "-2124\\frac{62}{77}", ["x"] = -2124, ["y"] = 62, ["z"] = 77 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.74", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "12 + 1\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "(12 + 1\\frac{3}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(12 + 1\\frac{3}{11}) \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{7} - (-11)", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{7} - (-11))", ["typ"] = "zavorka" }, ["render"] = "(12 + 1\\frac{3}{11}) \\cdot -12 \\cdot (2\\frac{3}{7} - (-11))", ["typ"] = "krat" }, ["render"] = "14 + (12 + 1\\frac{3}{11}) \\cdot -12 \\cdot (2\\frac{3}{7} - (-11))", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.75, bodu=120, $$1\frac{3}{9} + 18 - (-10) - (11 + 12 \cdot 2\frac{5}{12})=\textcolor{white}{-10\frac{2}{3}}$$return { ["body"] = 120, ["id"] = "33rAUK_0509_1456", ["obtiznost"] = 1.15, ["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"] = "SC3RzuaY99dKCEWNFJH4_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{9} + 18", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{9} + 18 - (-10)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 2\\frac{5}{12}", ["typ"] = "krat" }, ["render"] = "11 + 12 \\cdot 2\\frac{5}{12}", ["typ"] = "plus" }, ["render"] = "(11 + 12 \\cdot 2\\frac{5}{12})", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{9} + 18 - (-10) - (11 + 12 \\cdot 2\\frac{5}{12})", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.76, bodu=122, $$\frac{(-12 + (-21) + (-11 + 3\frac{2}{12})) \cdot -12}{2\frac{4}{10}}=\textcolor{white}{204\frac{1}{6}}$$return { ["body"] = 122, ["id"] = "JwW7cX_0509_1456", ["obtiznost"] = 1.16, ["reseni"] = { ["float"] = 204.16666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1225, ["jmenovatel"] = 6 }, ["render"] = "\\frac{2450}{12}", ["typ"] = "cislo" }, ["tex"] = "204\\frac{1}{6}", ["x"] = 204, ["y"] = 1, ["z"] = 6 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "-12 + (-21)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{2}{12}", ["typ"] = "cislo" }, ["render"] = "-11 + 3\\frac{2}{12}", ["typ"] = "plus" }, ["render"] = "-12 + (-21) + (-11 + 3\\frac{2}{12})", ["typ"] = "plus" }, ["render"] = "(-12 + (-21) + (-11 + 3\\frac{2}{12}))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(-12 + (-21) + (-11 + 3\\frac{2}{12})) \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{(-12 + (-21) + (-11 + 3\\frac{2}{12})) \\cdot -12}{2\\frac{4}{10}}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.77, bodu=194, $$((\frac{17}{-18})^2 - 4\frac{4}{6} - (-13)) \cdot (2\frac{1}{8} + 2\frac{4}{11})=\textcolor{white}{41\frac{11663}{28512}}$$return { ["body"] = 194, ["id"] = "UZf2Sh_0509_1456", ["obtiznost"] = 1.6152, ["reseni"] = { ["float"] = 41.409055836139, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1180655, ["jmenovatel"] = 28512 }, ["render"] = "\\frac{1180655}{28512}", ["typ"] = "cislo" }, ["tex"] = "41\\frac{11663}{28512}", ["x"] = 41, ["y"] = 11663, ["z"] = 28512 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.77", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{-18}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{17}{-18})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "(\\frac{17}{-18})^2 - 4\\frac{4}{6}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "(\\frac{17}{-18})^2 - 4\\frac{4}{6} - (-13)", ["typ"] = "minus" }, ["render"] = "((\\frac{17}{-18})^2 - 4\\frac{4}{6} - (-13))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{8} + 2\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "(2\\frac{1}{8} + 2\\frac{4}{11})", ["typ"] = "zavorka" }, ["render"] = "((\\frac{17}{-18})^2 - 4\\frac{4}{6} - (-13)) \\cdot (2\\frac{1}{8} + 2\\frac{4}{11})", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.78, bodu=81, $$\frac{(-9 - (-21))^2}{(13 - 20)^2 \cdot -11}=\textcolor{white}{-\frac{144}{539}}$$return { ["body"] = 81, ["id"] = "jae8B4_0509_1456", ["obtiznost"] = 0.858, ["reseni"] = { ["float"] = -0.26716141001855, ["objekt"] = { ["hodnota"] = { ["citatel"] = -144, ["jmenovatel"] = 539 }, ["render"] = "\\frac{144}{-539}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{144}{539}", ["y"] = -144, ["z"] = 539 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.78", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "-9 - (-21)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-9 - (-21))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "13 - 20", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(13 - 20)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "(13 - 20)^2 \\cdot -11", ["typ"] = "krat" }, ["render"] = "\\frac{(-9 - (-21))^2}{(13 - 20)^2 \\cdot -11}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.79, bodu=192, $$1\frac{4}{9} + (-6) + (\frac{2\frac{3}{13}}{\frac{2\frac{5}{12}}{1\frac{4}{9}}})^2 - (-12)=\textcolor{white}{9\frac{2}{9}}$$return { ["body"] = 192, ["id"] = "WZa4gZ_0509_1456", ["obtiznost"] = 1.6, ["reseni"] = { ["float"] = 9.2222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 83, ["jmenovatel"] = 9 }, ["render"] = "\\frac{83}{9}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{2}{9}", ["x"] = 9, ["y"] = 2, ["z"] = 9 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} + (-6)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{3}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 12 }, ["render"] = "2\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{12}}{1\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{3}{13}}{\\frac{2\\frac{5}{12}}{1\\frac{4}{9}}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{2\\frac{3}{13}}{\\frac{2\\frac{5}{12}}{1\\frac{4}{9}}})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(\\frac{2\\frac{3}{13}}{\\frac{2\\frac{5}{12}}{1\\frac{4}{9}}})^2 - (-12)", ["typ"] = "minus" }, ["render"] = "1\\frac{4}{9} + (-6) + (\\frac{2\\frac{3}{13}}{\\frac{2\\frac{5}{12}}{1\\frac{4}{9}}})^2 - (-12)", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.8, bodu=161, $$(4\frac{3}{11} + 2\frac{3}{11}) \cdot ((4 - 3\frac{2}{5})^2 + (-12)) \cdot 12 \cdot -16=\textcolor{white}{14628\frac{84}{275}}$$return { ["body"] = 161, ["id"] = "pLxOrG_0509_1456", ["obtiznost"] = 1.4136, ["reseni"] = { ["float"] = 14628.305454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4022784, ["jmenovatel"] = 275 }, ["render"] = "\\frac{4022784}{275}", ["typ"] = "cislo" }, ["tex"] = "14628\\frac{84}{275}", ["x"] = 14628, ["y"] = 84, ["z"] = 275 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{11} + 2\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "(4\\frac{3}{11} + 2\\frac{3}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "4 - 3\\frac{2}{5}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4 - 3\\frac{2}{5})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(4 - 3\\frac{2}{5})^2 + (-12)", ["typ"] = "plus" }, ["render"] = "((4 - 3\\frac{2}{5})^2 + (-12))", ["typ"] = "zavorka" }, ["render"] = "(4\\frac{3}{11} + 2\\frac{3}{11}) \\cdot ((4 - 3\\frac{2}{5})^2 + (-12))", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(4\\frac{3}{11} + 2\\frac{3}{11}) \\cdot ((4 - 3\\frac{2}{5})^2 + (-12)) \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "(4\\frac{3}{11} + 2\\frac{3}{11}) \\cdot ((4 - 3\\frac{2}{5})^2 + (-12)) \\cdot 12 \\cdot -16", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.81, bodu=193, $$2\frac{3}{12} + 3\frac{1}{7} - \frac{-12 + \frac{-18}{2\frac{2}{8} - (-9)}}{1\frac{1}{5}}=\textcolor{white}{16\frac{61}{84}}$$return { ["body"] = 193, ["id"] = "1ZmFGY_0509_1456", ["obtiznost"] = 1.61, ["reseni"] = { ["float"] = 16.72619047619, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1405, ["jmenovatel"] = 84 }, ["render"] = "\\frac{1405}{84}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{61}{84}", ["x"] = 16, ["y"] = 61, ["z"] = 84 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{12} + 3\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{8} - (-9)", ["typ"] = "minus" }, ["render"] = "\\frac{-18}{2\\frac{2}{8} - (-9)}", ["typ"] = "lomeno" }, ["render"] = "-12 + \\frac{-18}{2\\frac{2}{8} - (-9)}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 + \\frac{-18}{2\\frac{2}{8} - (-9)}}{1\\frac{1}{5}}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{3}{12} + 3\\frac{1}{7} - \\frac{-12 + \\frac{-18}{2\\frac{2}{8} - (-9)}}{1\\frac{1}{5}}", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.82, bodu=131, $$-6 - (-8) + 6 \cdot 2\frac{5}{9} \cdot 3\frac{5}{11} \cdot 14=\textcolor{white}{743\frac{19}{33}}$$return { ["body"] = 131, ["id"] = "WeHXpt_0509_1456", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = 743.57575757576, ["objekt"] = { ["hodnota"] = { ["citatel"] = 24538, ["jmenovatel"] = 33 }, ["render"] = "\\frac{24538}{33}", ["typ"] = "cislo" }, ["tex"] = "743\\frac{19}{33}", ["x"] = 743, ["y"] = 19, ["z"] = 33 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.82", ["zadani"] = { ["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"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{9} \\cdot 3\\frac{5}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{9} \\cdot 3\\frac{5}{11} \\cdot 14", ["typ"] = "krat" }, ["render"] = "6 \\cdot 2\\frac{5}{9} \\cdot 3\\frac{5}{11} \\cdot 14", ["typ"] = "krat" }, ["render"] = "-6 - (-8) + 6 \\cdot 2\\frac{5}{9} \\cdot 3\\frac{5}{11} \\cdot 14", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.83, bodu=169, $$(3\frac{4}{8} - 8)^2 \cdot (12 + 3\frac{3}{9}) - (1\frac{3}{8} - (-10 - (-20)))=\textcolor{white}{319{,}125}$$return { ["body"] = 169, ["id"] = "j8Pi8J_0509_1456", ["obtiznost"] = 1.464, ["reseni"] = { ["float"] = 319.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2553, ["jmenovatel"] = 8 }, ["render"] = "\\frac{5106}{16}", ["typ"] = "cislo" }, ["tex"] = "319\\frac{1}{8}", ["tex_float"] = "319{,}125", ["x"] = 319, ["y"] = 1, ["z"] = 8 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{8} - 8", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{4}{8} - 8)^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "12 + 3\\frac{3}{9}", ["typ"] = "plus" }, ["render"] = "(12 + 3\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{4}{8} - 8)^2 \\cdot (12 + 3\\frac{3}{9})", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "-10 - (-20)", ["typ"] = "minus" }, ["render"] = "(-10 - (-20))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{3}{8} - (-10 - (-20))", ["typ"] = "minus" }, ["render"] = "(1\\frac{3}{8} - (-10 - (-20)))", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{4}{8} - 8)^2 \\cdot (12 + 3\\frac{3}{9}) - (1\\frac{3}{8} - (-10 - (-20)))", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.84, bodu=224, $$\frac{2\frac{2}{7} - 3\frac{3}{5}}{\frac{3\frac{3}{12}}{(\frac{13}{14})^2 \cdot 2\frac{5}{9}}}=\textcolor{white}{-\frac{13754}{15435}}$$return { ["body"] = 224, ["id"] = "SOhtVI_0509_1456", ["obtiznost"] = 1.786, ["reseni"] = { ["float"] = -0.89109167476514, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13754, ["jmenovatel"] = 15435 }, ["render"] = "\\frac{-13754}{15435}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13754}{15435}", ["y"] = -13754, ["z"] = 15435 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.84", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} - 3\\frac{3}{5}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{14}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{13}{14})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "(\\frac{13}{14})^2 \\cdot 2\\frac{5}{9}", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{3}{12}}{(\\frac{13}{14})^2 \\cdot 2\\frac{5}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{2}{7} - 3\\frac{3}{5}}{\\frac{3\\frac{3}{12}}{(\\frac{13}{14})^2 \\cdot 2\\frac{5}{9}}}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.85, bodu=167, $$(9 - \frac{2\frac{1}{5}}{2\frac{1}{6} - 2\frac{4}{14}}) \cdot 17 \cdot -22=\textcolor{white}{-10277{,}52}$$return { ["body"] = 167, ["id"] = "ho0aTZ_0509_1456", ["obtiznost"] = 1.45, ["reseni"] = { ["float"] = -10277.52, ["objekt"] = { ["hodnota"] = { ["citatel"] = -256938, ["jmenovatel"] = 25 }, ["render"] = "\\frac{-256938}{25}", ["typ"] = "cislo" }, ["tex"] = "-10277\\frac{13}{25}", ["tex_float"] = "-10277{,}52", ["x"] = -10277, ["y"] = 13, ["z"] = 25 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.85", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{14}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - 2\\frac{4}{14}", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{1}{5}}{2\\frac{1}{6} - 2\\frac{4}{14}}", ["typ"] = "lomeno" }, ["render"] = "9 - \\frac{2\\frac{1}{5}}{2\\frac{1}{6} - 2\\frac{4}{14}}", ["typ"] = "minus" }, ["render"] = "(9 - \\frac{2\\frac{1}{5}}{2\\frac{1}{6} - 2\\frac{4}{14}})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["render"] = "17 \\cdot -22", ["typ"] = "krat" }, ["render"] = "(9 - \\frac{2\\frac{1}{5}}{2\\frac{1}{6} - 2\\frac{4}{14}}) \\cdot 17 \\cdot -22", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.86, bodu=137, $$\frac{-8 + (-18 + (-10)) + 12}{(2\frac{3}{9} + (-14)) \cdot (3\frac{5}{12} - (-17))}=\textcolor{white}{\frac{864}{8575}}$$return { ["body"] = 137, ["id"] = "zcLbke_0509_1456", ["obtiznost"] = 1.26, ["reseni"] = { ["float"] = 0.10075801749271, ["objekt"] = { ["hodnota"] = { ["citatel"] = 864, ["jmenovatel"] = 8575 }, ["render"] = "\\frac{-864}{-8575}", ["typ"] = "cislo" }, ["tex"] = "\\frac{864}{8575}", ["y"] = 864, ["z"] = 8575 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-18 + (-10)", ["typ"] = "plus" }, ["render"] = "-8 + (-18 + (-10))", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-8 + (-18 + (-10)) + 12", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} + (-14)", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{9} + (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{12} - (-17)", ["typ"] = "minus" }, ["render"] = "(3\\frac{5}{12} - (-17))", ["typ"] = "zavorka" }, ["render"] = "(2\\frac{3}{9} + (-14)) \\cdot (3\\frac{5}{12} - (-17))", ["typ"] = "krat" }, ["render"] = "\\frac{-8 + (-18 + (-10)) + 12}{(2\\frac{3}{9} + (-14)) \\cdot (3\\frac{5}{12} - (-17))}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.87, bodu=111, $$\frac{(12 - (15 - 8))^2 + 3\frac{1}{4} - (-9 - 21)}{16}=\textcolor{white}{3\frac{41}{64}}$$return { ["body"] = 111, ["id"] = "l1gATE_0509_1456", ["obtiznost"] = 1.0804, ["reseni"] = { ["float"] = 3.640625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 233, ["jmenovatel"] = 64 }, ["render"] = "\\frac{233}{64}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{41}{64}", ["x"] = 3, ["y"] = 41, ["z"] = 64 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "15 - 8", ["typ"] = "minus" }, ["render"] = "(15 - 8)", ["typ"] = "zavorka" }, ["render"] = "12 - (15 - 8)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(12 - (15 - 8))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["render"] = "-9 - 21", ["typ"] = "minus" }, ["render"] = "(-9 - 21)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{1}{4} - (-9 - 21)", ["typ"] = "minus" }, ["render"] = "(12 - (15 - 8))^2 + 3\\frac{1}{4} - (-9 - 21)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "\\frac{(12 - (15 - 8))^2 + 3\\frac{1}{4} - (-9 - 21)}{16}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.88, bodu=241, $$(1\frac{2}{9} + \frac{4\frac{4}{8} + 16}{-20}) \cdot (4\frac{1}{6} \cdot 1\frac{3}{10} + 3\frac{1}{6})=\textcolor{white}{1\frac{2993}{4320}}$$return { ["body"] = 241, ["id"] = "vA5HdY_0509_1456", ["obtiznost"] = 1.88, ["reseni"] = { ["float"] = 1.6928240740741, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7313, ["jmenovatel"] = 4320 }, ["render"] = "\\frac{7313}{4320}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{2993}{4320}", ["x"] = 1, ["y"] = 2993, ["z"] = 4320 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.88", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} + 16", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{8} + 16}{-20}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{2}{9} + \\frac{4\\frac{4}{8} + 16}{-20}", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{9} + \\frac{4\\frac{4}{8} + 16}{-20})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{6} \\cdot 1\\frac{3}{10}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{6} \\cdot 1\\frac{3}{10} + 3\\frac{1}{6}", ["typ"] = "plus" }, ["render"] = "(4\\frac{1}{6} \\cdot 1\\frac{3}{10} + 3\\frac{1}{6})", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{2}{9} + \\frac{4\\frac{4}{8} + 16}{-20}) \\cdot (4\\frac{1}{6} \\cdot 1\\frac{3}{10} + 3\\frac{1}{6})", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.89, bodu=173, $$(-21 - 3\frac{2}{10} \cdot 4\frac{5}{7}) \cdot \frac{2\frac{5}{8}}{-17} \cdot 9=\textcolor{white}{50\frac{101}{680}}$$return { ["body"] = 173, ["id"] = "LhY7Ob_0509_1456", ["obtiznost"] = 1.49, ["reseni"] = { ["float"] = 50.148529411765, ["objekt"] = { ["hodnota"] = { ["citatel"] = 34101, ["jmenovatel"] = 680 }, ["render"] = "\\frac{34101}{680}", ["typ"] = "cislo" }, ["tex"] = "50\\frac{101}{680}", ["x"] = 50, ["y"] = 101, ["z"] = 680 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{10} \\cdot 4\\frac{5}{7}", ["typ"] = "krat" }, ["render"] = "-21 - 3\\frac{2}{10} \\cdot 4\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(-21 - 3\\frac{2}{10} \\cdot 4\\frac{5}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{8}}{-17}", ["typ"] = "lomeno" }, ["render"] = "(-21 - 3\\frac{2}{10} \\cdot 4\\frac{5}{7}) \\cdot \\frac{2\\frac{5}{8}}{-17}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(-21 - 3\\frac{2}{10} \\cdot 4\\frac{5}{7}) \\cdot \\frac{2\\frac{5}{8}}{-17} \\cdot 9", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.9, bodu=143, $$-20 + (4\frac{2}{9} + 13 + 20) \cdot -7 - 3\frac{4}{5} \cdot -12=\textcolor{white}{-234\frac{43}{45}}$$return { ["body"] = 143, ["id"] = "WYo3AE_0509_1456", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = -234.95555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -10573, ["jmenovatel"] = 45 }, ["render"] = "\\frac{-10573}{45}", ["typ"] = "cislo" }, ["tex"] = "-234\\frac{43}{45}", ["x"] = -234, ["y"] = 43, ["z"] = 45 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.9", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "13 + 20", ["typ"] = "plus" }, ["render"] = "4\\frac{2}{9} + 13 + 20", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{9} + 13 + 20)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(4\\frac{2}{9} + 13 + 20) \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{5} \\cdot -12", ["typ"] = "krat" }, ["render"] = "(4\\frac{2}{9} + 13 + 20) \\cdot -7 - 3\\frac{4}{5} \\cdot -12", ["typ"] = "minus" }, ["render"] = "-20 + (4\\frac{2}{9} + 13 + 20) \\cdot -7 - 3\\frac{4}{5} \\cdot -12", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.91, bodu=115, $$\frac{11}{13} - \frac{2\frac{4}{12}}{-15} - \frac{18}{-15}=\textcolor{white}{2\frac{118}{585}}$$return { ["body"] = 115, ["id"] = "LJOb9p_0509_1456", ["obtiznost"] = 1.11, ["reseni"] = { ["float"] = 2.2017094017094, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1288, ["jmenovatel"] = 585 }, ["render"] = "\\frac{6440}{2925}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{118}{585}", ["x"] = 2, ["y"] = 118, ["z"] = 585 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{12}}{-15}", ["typ"] = "lomeno" }, ["render"] = "\\frac{11}{13} - \\frac{2\\frac{4}{12}}{-15}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{-15}", ["typ"] = "lomeno" }, ["render"] = "\\frac{11}{13} - \\frac{2\\frac{4}{12}}{-15} - \\frac{18}{-15}", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.92, bodu=222, $$((13 - 15)^3 + 13)^4 \cdot \frac{1\frac{1}{7}}{-12 + 1\frac{5}{13} + 3\frac{1}{5}}=\textcolor{white}{-96\frac{548}{1687}}$$return { ["body"] = 222, ["id"] = "uUe1VK_0509_1456", ["obtiznost"] = 1.774, ["reseni"] = { ["float"] = -96.324836988737, ["objekt"] = { ["hodnota"] = { ["citatel"] = -162500, ["jmenovatel"] = 1687 }, ["render"] = "\\frac{-162500}{1687}", ["typ"] = "cislo" }, ["tex"] = "-96\\frac{548}{1687}", ["x"] = -96, ["y"] = 548, ["z"] = 1687 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.92", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "13 - 15", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(13 - 15)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "(13 - 15)^3 + 13", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "((13 - 15)^3 + 13)^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{13} + 3\\frac{1}{5}", ["typ"] = "plus" }, ["render"] = "-12 + 1\\frac{5}{13} + 3\\frac{1}{5}", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{1}{7}}{-12 + 1\\frac{5}{13} + 3\\frac{1}{5}}", ["typ"] = "lomeno" }, ["render"] = "((13 - 15)^3 + 13)^4 \\cdot \\frac{1\\frac{1}{7}}{-12 + 1\\frac{5}{13} + 3\\frac{1}{5}}", ["typ"] = "krat" } }

seed: SC3RzuaY99dKCEWNFJH4_0.93, bodu=185, $$\frac{11}{-11 + \frac{(20 + (-11))^2 - 3\frac{3}{8}}{1\frac{1}{6} \cdot 4\frac{4}{11}}}=\textcolor{white}{2\frac{102}{173}}$$return { ["body"] = 185, ["id"] = "yo9IEq_0509_1456", ["obtiznost"] = 1.5628, ["reseni"] = { ["float"] = 2.5895953757225, ["objekt"] = { ["hodnota"] = { ["citatel"] = 448, ["jmenovatel"] = 173 }, ["render"] = "\\frac{4928}{1903}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{102}{173}", ["x"] = 2, ["y"] = 102, ["z"] = 173 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.93", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "20 + (-11)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(20 + (-11))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "(20 + (-11))^2 - 3\\frac{3}{8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{6} \\cdot 4\\frac{4}{11}", ["typ"] = "krat" }, ["render"] = "\\frac{(20 + (-11))^2 - 3\\frac{3}{8}}{1\\frac{1}{6} \\cdot 4\\frac{4}{11}}", ["typ"] = "lomeno" }, ["render"] = "-11 + \\frac{(20 + (-11))^2 - 3\\frac{3}{8}}{1\\frac{1}{6} \\cdot 4\\frac{4}{11}}", ["typ"] = "plus" }, ["render"] = "\\frac{11}{-11 + \\frac{(20 + (-11))^2 - 3\\frac{3}{8}}{1\\frac{1}{6} \\cdot 4\\frac{4}{11}}}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.94, bodu=149, $$\frac{1\frac{4}{4}}{12 - 3\frac{4}{8} - \frac{\frac{17}{3\frac{4}{11}}}{-21}}=\textcolor{white}{\frac{3108}{13583}}$$return { ["body"] = 149, ["id"] = "kGwajI_0509_1456", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = 0.22881543105352, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3108, ["jmenovatel"] = 13583 }, ["render"] = "\\frac{3108}{13583}", ["typ"] = "cislo" }, ["tex"] = "\\frac{3108}{13583}", ["y"] = 3108, ["z"] = 13583 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.94", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "1\\frac{4}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "12 - 3\\frac{4}{8}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{3\\frac{4}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{17}{3\\frac{4}{11}}}{-21}", ["typ"] = "lomeno" }, ["render"] = "12 - 3\\frac{4}{8} - \\frac{\\frac{17}{3\\frac{4}{11}}}{-21}", ["typ"] = "minus" }, ["render"] = "\\frac{1\\frac{4}{4}}{12 - 3\\frac{4}{8} - \\frac{\\frac{17}{3\\frac{4}{11}}}{-21}}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.95, bodu=185, $$8 \cdot \frac{4\frac{1}{8}}{(14 + 9)^2} - \frac{3\frac{2}{4}}{23}=\textcolor{white}{-\frac{95}{1058}}$$return { ["body"] = 185, ["id"] = "LpjzLy_0509_1456", ["obtiznost"] = 1.562, ["reseni"] = { ["float"] = -0.089792060491493, ["objekt"] = { ["hodnota"] = { ["citatel"] = -95, ["jmenovatel"] = 1058 }, ["render"] = "\\frac{-2185}{24334}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{95}{1058}", ["y"] = -95, ["z"] = 1058 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "14 + 9", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(14 + 9)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{4\\frac{1}{8}}{(14 + 9)^2}", ["typ"] = "lomeno" }, ["render"] = "8 \\cdot \\frac{4\\frac{1}{8}}{(14 + 9)^2}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "23", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{4}}{23}", ["typ"] = "lomeno" }, ["render"] = "8 \\cdot \\frac{4\\frac{1}{8}}{(14 + 9)^2} - \\frac{3\\frac{2}{4}}{23}", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.96, bodu=156, $$10 + (-13 \cdot 3\frac{4}{7}) - ((\frac{16}{-4})^3 - 4\frac{4}{15})=\textcolor{white}{31\frac{88}{105}}$$return { ["body"] = 156, ["id"] = "Gi7c2v_0509_1456", ["obtiznost"] = 1.386, ["reseni"] = { ["float"] = 31.838095238095, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3343, ["jmenovatel"] = 105 }, ["render"] = "\\frac{3343}{105}", ["typ"] = "cislo" }, ["tex"] = "31\\frac{88}{105}", ["x"] = 31, ["y"] = 88, ["z"] = 105 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 3\\frac{4}{7}", ["typ"] = "krat" }, ["render"] = "10 + (-13 \\cdot 3\\frac{4}{7})", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["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"] = 3, ["render"] = "(\\frac{16}{-4})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 64, ["jmenovatel"] = 15 }, ["render"] = "4\\frac{4}{15}", ["typ"] = "cislo" }, ["render"] = "(\\frac{16}{-4})^3 - 4\\frac{4}{15}", ["typ"] = "minus" }, ["render"] = "((\\frac{16}{-4})^3 - 4\\frac{4}{15})", ["typ"] = "zavorka" }, ["render"] = "10 + (-13 \\cdot 3\\frac{4}{7}) - ((\\frac{16}{-4})^3 - 4\\frac{4}{15})", ["typ"] = "minus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.97, bodu=123, $$\frac{-8}{12 + 20 + \frac{\frac{18}{3\frac{2}{9}}}{-15} - (-19)}=\textcolor{white}{-\frac{1160}{7341}}$$return { ["body"] = 123, ["id"] = "xAoMe3_0509_1456", ["obtiznost"] = 1.17, ["reseni"] = { ["float"] = -0.15801661898924, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1160, ["jmenovatel"] = 7341 }, ["render"] = "\\frac{-1160}{7341}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1160}{7341}", ["y"] = -1160, ["z"] = 7341 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.97", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "12 + 20", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{3\\frac{2}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{18}{3\\frac{2}{9}}}{-15}", ["typ"] = "lomeno" }, ["render"] = "12 + 20 + \\frac{\\frac{18}{3\\frac{2}{9}}}{-15}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "12 + 20 + \\frac{\\frac{18}{3\\frac{2}{9}}}{-15} - (-19)", ["typ"] = "minus" }, ["render"] = "\\frac{-8}{12 + 20 + \\frac{\\frac{18}{3\\frac{2}{9}}}{-15} - (-19)}", ["typ"] = "lomeno" } }

seed: SC3RzuaY99dKCEWNFJH4_0.98, bodu=180, $$(-11 + (-11 + 4\frac{2}{8}) - (-13))^2 + (-14 \cdot -18 \cdot 2\frac{4}{8})=\textcolor{white}{652\frac{9}{16}}$$return { ["body"] = 180, ["id"] = "g3I0zw_0509_1456", ["obtiznost"] = 1.5308, ["reseni"] = { ["float"] = 652.5625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10441, ["jmenovatel"] = 16 }, ["render"] = "\\frac{10441}{16}", ["typ"] = "cislo" }, ["tex"] = "652\\frac{9}{16}", ["x"] = 652, ["y"] = 9, ["z"] = 16 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.98", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "-11 + 4\\frac{2}{8}", ["typ"] = "plus" }, ["render"] = "-11 + (-11 + 4\\frac{2}{8})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-11 + (-11 + 4\\frac{2}{8}) - (-13)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-11 + (-11 + 4\\frac{2}{8}) - (-13))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -18", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -18 \\cdot 2\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "(-11 + (-11 + 4\\frac{2}{8}) - (-13))^2 + (-14 \\cdot -18 \\cdot 2\\frac{4}{8})", ["typ"] = "plus" } }

seed: SC3RzuaY99dKCEWNFJH4_0.99, bodu=157, $$-12 \cdot \frac{3\frac{4}{8}}{\frac{1\frac{3}{9}}{-7}} \cdot -16=\textcolor{white}{-3528}$$return { ["body"] = 157, ["id"] = "meFlOP_0509_1456", ["obtiznost"] = 1.39, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -3528, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-3528}{1}", ["typ"] = "cislo" }, ["tex"] = "-3528", ["x"] = -3528 }, ["seed"] = "SC3RzuaY99dKCEWNFJH4_0.99", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{9}}{-7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{4}{8}}{\\frac{1\\frac{3}{9}}{-7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{8}}{\\frac{1\\frac{3}{9}}{-7}} \\cdot -16", ["typ"] = "krat" }, ["render"] = "-12 \\cdot \\frac{3\\frac{4}{8}}{\\frac{1\\frac{3}{9}}{-7}} \\cdot -16", ["typ"] = "krat" } }

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