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Nahodny test, priklady s rostouci obtiznosti...

seed: uXVZsg4fsyD1yMU5LXQ7_0, bodu=12, $$\frac{(-9 - 6)^2}{5 - 11}=\textcolor{white}{-37{,}5}$$return { ["body"] = 12, ["id"] = "f2PoNV_1215_0105", ["obtiznost"] = 0.0904, ["reseni"] = { ["float"] = -37.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -75, ["jmenovatel"] = 2 }, ["render"] = "\\frac{225}{-6}", ["typ"] = "cislo" }, ["tex"] = "-37\\frac{1}{2}", ["tex_float"] = "-37{,}5", ["x"] = -37, ["y"] = 1, ["z"] = 2 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-9 - 6", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-9 - 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "5 - 11", ["typ"] = "minus" }, ["render"] = "\\frac{(-9 - 6)^2}{5 - 11}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.01, bodu=5, $$-8 - 9 + 9 \cdot 6=\textcolor{white}{37}$$return { ["body"] = 5, ["id"] = "ltHe5H_1215_0105", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 1 }, ["render"] = "\\frac{37}{1}", ["typ"] = "cislo" }, ["tex"] = "37", ["tex_float"] = "37", ["x"] = 37 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.01", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-8 - 9", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 6", ["typ"] = "krat" }, ["render"] = "-8 - 9 + 9 \\cdot 6", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.02, bodu=10, $$\frac{8}{-7 + 6} \cdot 6=\textcolor{white}{-48}$$return { ["body"] = 10, ["id"] = "aEFcA2_1215_0105", ["obtiznost"] = 0.02, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -48, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-48}{1}", ["typ"] = "cislo" }, ["tex"] = "-48", ["tex_float"] = "-48", ["x"] = -48 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-7 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{8}{-7 + 6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{-7 + 6} \\cdot 6", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.03, bodu=5, $$4 \cdot (8 + 7) + (-8)=\textcolor{white}{52}$$return { ["body"] = 5, ["id"] = "R4RWDa_1215_0105", ["obtiznost"] = 0.03, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 52, ["jmenovatel"] = 1 }, ["render"] = "\\frac{52}{1}", ["typ"] = "cislo" }, ["tex"] = "52", ["x"] = 52 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.03", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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" }, ["render"] = "(8 + 7)", ["typ"] = "zavorka" }, ["render"] = "4 \\cdot (8 + 7)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4 \\cdot (8 + 7) + (-8)", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.04, bodu=5, $$(9 - (11 + (-7)))^2 - (-7)=\textcolor{white}{32}$$return { ["body"] = 5, ["id"] = "1pAQUx_1215_0105", ["obtiznost"] = 0.0504, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 1 }, ["render"] = "\\frac{32}{1}", ["typ"] = "cislo" }, ["tex"] = "32", ["x"] = 32 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.04", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "11 + (-7)", ["typ"] = "plus" }, ["render"] = "(11 + (-7))", ["typ"] = "zavorka" }, ["render"] = "9 - (11 + (-7))", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(9 - (11 + (-7)))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(9 - (11 + (-7)))^2 - (-7)", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.05, bodu=11, $$2 + (-11 + \frac{5}{8})=\textcolor{white}{-8{,}375}$$return { ["body"] = 11, ["id"] = "NSsAWa_1215_0105", ["obtiznost"] = 0.05, ["reseni"] = { ["float"] = -8.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -67, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-67}{8}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{3}{8}", ["tex_float"] = "-8{,}375", ["x"] = -8, ["y"] = 3, ["z"] = 8 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{8}", ["typ"] = "lomeno" }, ["render"] = "-11 + \\frac{5}{8}", ["typ"] = "plus" }, ["render"] = "2 + (-11 + \\frac{5}{8})", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.06, bodu=5, $$3 + 7 - 7 \cdot 10=\textcolor{white}{-60}$$return { ["body"] = 5, ["id"] = "2PpK10_1215_0105", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -60, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-60}{1}", ["typ"] = "cislo" }, ["tex"] = "-60", ["tex_float"] = "-60", ["x"] = -60 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "3 + 7", ["typ"] = "plus" }, ["c2"] = { ["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" }, ["render"] = "3 + 7 - 7 \\cdot 10", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.07, bodu=5, $$-8 \cdot 11 \cdot 2=\textcolor{white}{-176}$$return { ["body"] = 5, ["id"] = "XyTcuQ_1215_0105", ["obtiznost"] = 0.07, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -176, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-176}{1}", ["typ"] = "cislo" }, ["tex"] = "-176", ["tex_float"] = "-176", ["x"] = -176 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.07", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 11 \\cdot 2", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.08, bodu=13, $$(\frac{8 - 6}{8})^3 - 4=\textcolor{white}{-3\frac{63}{64}}$$return { ["body"] = 13, ["id"] = "hGxnaO_1215_0105", ["obtiznost"] = 0.106, ["reseni"] = { ["float"] = -3.984375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -255, ["jmenovatel"] = 64 }, ["render"] = "\\frac{-255}{64}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{63}{64}", ["x"] = -3, ["y"] = 63, ["z"] = 64 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.08", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "8 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{8 - 6}{8}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{8 - 6}{8})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(\\frac{8 - 6}{8})^3 - 4", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.09, bodu=6, $$(-5 - 3) \cdot 8 + 7=\textcolor{white}{-57}$$return { ["body"] = 6, ["id"] = "lKa5gi_1215_0105", ["obtiznost"] = 0.09, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -57, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-57}{1}", ["typ"] = "cislo" }, ["tex"] = "-57", ["tex_float"] = "-57", ["x"] = -57 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.09", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "-5 - 3", ["typ"] = "minus" }, ["render"] = "(-5 - 3)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(-5 - 3) \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(-5 - 3) \\cdot 8 + 7", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.1, bodu=24, $$4 + 5 + 7 + 7 - 4\frac{5}{6}=\textcolor{white}{18\frac{1}{6}}$$return { ["body"] = 24, ["id"] = "ZK8wtZ_1215_0105", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = 18.166666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 109, ["jmenovatel"] = 6 }, ["render"] = "\\frac{109}{6}", ["typ"] = "cislo" }, ["tex"] = "18\\frac{1}{6}", ["x"] = 18, ["y"] = 1, ["z"] = 6 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.1", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["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" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "5 + 7 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "5 + 7 + 7 - 4\\frac{5}{6}", ["typ"] = "minus" }, ["render"] = "4 + 5 + 7 + 7 - 4\\frac{5}{6}", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.11, bodu=6, $$7 + 9 + 8 - 7 + 6=\textcolor{white}{23}$$return { ["body"] = 6, ["id"] = "t7Ybn5_1215_0105", ["obtiznost"] = 0.11, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "\\frac{23}{1}", ["typ"] = "cislo" }, ["tex"] = "23", ["tex_float"] = "23", ["x"] = 23 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "9 + 8", ["typ"] = "plus" }, ["render"] = "7 + 9 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 + 9 + 8 - 7", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 + 9 + 8 - 7 + 6", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.12, bodu=15, $$(7 + (\frac{-8}{5})^2) \cdot -7=\textcolor{white}{-66{,}92}$$return { ["body"] = 15, ["id"] = "yGzckQ_1215_0105", ["obtiznost"] = 0.1556, ["reseni"] = { ["float"] = -66.92, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1673, ["jmenovatel"] = 25 }, ["render"] = "\\frac{-1673}{25}", ["typ"] = "cislo" }, ["tex"] = "-66\\frac{23}{25}", ["tex_float"] = "-66{,}92", ["x"] = -66, ["y"] = 23, ["z"] = 25 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.12", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-8}{5})^2", ["typ"] = "mocnina" }, ["render"] = "7 + (\\frac{-8}{5})^2", ["typ"] = "plus" }, ["render"] = "(7 + (\\frac{-8}{5})^2)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(7 + (\\frac{-8}{5})^2) \\cdot -7", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.13, bodu=56, $$((3\frac{1}{3} - (-6)) \cdot (6 - 7))^2=\textcolor{white}{87\frac{1}{9}}$$return { ["body"] = 56, ["id"] = "QV6B7b_1215_0105", ["obtiznost"] = 0.6472, ["reseni"] = { ["float"] = 87.111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 784, ["jmenovatel"] = 9 }, ["render"] = "\\frac{784}{9}", ["typ"] = "cislo" }, ["tex"] = "87\\frac{1}{9}", ["x"] = 87, ["y"] = 1, ["z"] = 9 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.13", ["zadani"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{3} - (-6)", ["typ"] = "minus" }, ["render"] = "(3\\frac{1}{3} - (-6))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 - 7", ["typ"] = "minus" }, ["render"] = "(6 - 7)", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{1}{3} - (-6)) \\cdot (6 - 7)", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "((3\\frac{1}{3} - (-6)) \\cdot (6 - 7))^2", ["typ"] = "mocnina" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.14, bodu=27, $$2\frac{1}{6} \cdot \frac{9}{5}=\textcolor{white}{3{,}9}$$return { ["body"] = 27, ["id"] = "sj6UrR_1215_0105", ["obtiznost"] = 0.34, ["reseni"] = { ["float"] = 3.9, ["objekt"] = { ["hodnota"] = { ["citatel"] = 39, ["jmenovatel"] = 10 }, ["render"] = "\\frac{117}{30}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{9}{10}", ["tex_float"] = "3{,}9", ["x"] = 3, ["y"] = 9, ["z"] = 10 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{5}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{1}{6} \\cdot \\frac{9}{5}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.15, bodu=46, $$\frac{-8 - 8 \cdot 2\frac{2}{5}}{3\frac{2}{4}}=\textcolor{white}{-7\frac{27}{35}}$$return { ["body"] = 46, ["id"] = "599r9I_1215_0105", ["obtiznost"] = 0.55, ["reseni"] = { ["float"] = -7.7714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = -272, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-272}{35}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{27}{35}", ["x"] = -7, ["y"] = 27, ["z"] = 35 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.15", ["zadani"] = { ["c1"] = { ["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"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 2\\frac{2}{5}", ["typ"] = "krat" }, ["render"] = "-8 - 8 \\cdot 2\\frac{2}{5}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{-8 - 8 \\cdot 2\\frac{2}{5}}{3\\frac{2}{4}}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.16, bodu=15, $$\frac{-6}{6 + 7} - 7=\textcolor{white}{-7\frac{6}{13}}$$return { ["body"] = 15, ["id"] = "CZjAO1_1215_0105", ["obtiznost"] = 0.16, ["reseni"] = { ["float"] = -7.4615384615385, ["objekt"] = { ["hodnota"] = { ["citatel"] = -97, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-97}{13}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{6}{13}", ["x"] = -7, ["y"] = 6, ["z"] = 13 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "6 + 7", ["typ"] = "plus" }, ["render"] = "\\frac{-6}{6 + 7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{6 + 7} - 7", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.17, bodu=27, $$\frac{4 \cdot (-13 - 7)^2}{7}=\textcolor{white}{228\frac{4}{7}}$$return { ["body"] = 27, ["id"] = "CMxFSH_1215_0105", ["obtiznost"] = 0.3304, ["reseni"] = { ["float"] = 228.57142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1600, ["jmenovatel"] = 7 }, ["render"] = "\\frac{1600}{7}", ["typ"] = "cislo" }, ["tex"] = "228\\frac{4}{7}", ["x"] = 228, ["y"] = 4, ["z"] = 7 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.17", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-13 - 7", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-13 - 7)^2", ["typ"] = "mocnina" }, ["render"] = "4 \\cdot (-13 - 7)^2", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{4 \\cdot (-13 - 7)^2}{7}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.18, bodu=16, $$(8 - 6)^2 + \frac{5}{-6}=\textcolor{white}{3\frac{1}{6}}$$return { ["body"] = 16, ["id"] = "0LsMTh_1215_0105", ["obtiznost"] = 0.182, ["reseni"] = { ["float"] = 3.1666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "\\frac{19}{6}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{1}{6}", ["x"] = 3, ["y"] = 1, ["z"] = 6 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.18", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "8 - 6", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(8 - 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{-6}", ["typ"] = "lomeno" }, ["render"] = "(8 - 6)^2 + \\frac{5}{-6}", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.19, bodu=21, $$(\frac{12}{5})^2 \cdot (9 + 13)=\textcolor{white}{126{,}72}$$return { ["body"] = 21, ["id"] = "ISzLFP_1215_0105", ["obtiznost"] = 0.2576, ["reseni"] = { ["float"] = 126.72, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3168, ["jmenovatel"] = 25 }, ["render"] = "\\frac{3168}{25}", ["typ"] = "cislo" }, ["tex"] = "126\\frac{18}{25}", ["tex_float"] = "126{,}72", ["x"] = 126, ["y"] = 18, ["z"] = 25 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.19", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{5}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{12}{5})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "9 + 13", ["typ"] = "plus" }, ["render"] = "(9 + 13)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{12}{5})^2 \\cdot (9 + 13)", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.2, bodu=18, $$\frac{8 \cdot 6 \cdot 11}{14}=\textcolor{white}{37\frac{5}{7}}$$return { ["body"] = 18, ["id"] = "AK3YBU_1215_0105", ["obtiznost"] = 0.2, ["reseni"] = { ["float"] = 37.714285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 264, ["jmenovatel"] = 7 }, ["render"] = "\\frac{528}{14}", ["typ"] = "cislo" }, ["tex"] = "37\\frac{5}{7}", ["x"] = 37, ["y"] = 5, ["z"] = 7 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.2", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 11", ["typ"] = "krat" }, ["render"] = "8 \\cdot 6 \\cdot 11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{8 \\cdot 6 \\cdot 11}{14}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.21, bodu=38, $$(\frac{8}{9})^2 - 2\frac{2}{4} \cdot -9=\textcolor{white}{23\frac{47}{162}}$$return { ["body"] = 38, ["id"] = "YpWZnb_1215_0105", ["obtiznost"] = 0.468, ["reseni"] = { ["float"] = 23.29012345679, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3773, ["jmenovatel"] = 162 }, ["render"] = "\\frac{3773}{162}", ["typ"] = "cislo" }, ["tex"] = "23\\frac{47}{162}", ["x"] = 23, ["y"] = 47, ["z"] = 162 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.21", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{8}{9})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{4} \\cdot -9", ["typ"] = "krat" }, ["render"] = "(\\frac{8}{9})^2 - 2\\frac{2}{4} \\cdot -9", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.22, bodu=19, $$\frac{12 + 9}{4 - \frac{-3}{6}}=\textcolor{white}{4\frac{2}{3}}$$return { ["body"] = 19, ["id"] = "QIaCDY_1215_0105", ["obtiznost"] = 0.22, ["reseni"] = { ["float"] = 4.6666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "\\frac{42}{9}", ["typ"] = "cislo" }, ["tex"] = "4\\frac{2}{3}", ["x"] = 4, ["y"] = 2, ["z"] = 3 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "12 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-3}{6}", ["typ"] = "lomeno" }, ["render"] = "4 - \\frac{-3}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{12 + 9}{4 - \\frac{-3}{6}}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.23, bodu=14, $$(10 \cdot 8 - 4) \cdot (11 + 6)^2=\textcolor{white}{21964}$$return { ["body"] = 14, ["id"] = "ubd7MO_1215_0105", ["obtiznost"] = 0.346, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 21964, ["jmenovatel"] = 1 }, ["render"] = "\\frac{21964}{1}", ["typ"] = "cislo" }, ["tex"] = "21964", ["tex_float"] = "21964", ["x"] = 21964 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.23", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 8 - 4", ["typ"] = "minus" }, ["render"] = "(10 \\cdot 8 - 4)", ["typ"] = "zavorka" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "11 + 6", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(11 + 6)^2", ["typ"] = "mocnina" }, ["render"] = "(10 \\cdot 8 - 4) \\cdot (11 + 6)^2", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.24, bodu=56, $$\frac{4\frac{2}{6}}{5 \cdot (-4 - 2\frac{1}{5})}=\textcolor{white}{-\frac{13}{93}}$$return { ["body"] = 56, ["id"] = "nqUmEK_1215_0105", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = -0.13978494623656, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 93 }, ["render"] = "\\frac{13}{-93}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13}{93}", ["y"] = -13, ["z"] = 93 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.24", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "-4 - 2\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "(-4 - 2\\frac{1}{5})", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot (-4 - 2\\frac{1}{5})", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{2}{6}}{5 \\cdot (-4 - 2\\frac{1}{5})}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.25, bodu=21, $$\frac{13}{(5 - (-7)) \cdot -7}=\textcolor{white}{-\frac{13}{84}}$$return { ["body"] = 21, ["id"] = "eG0LjQ_1215_0105", ["obtiznost"] = 0.25, ["reseni"] = { ["float"] = -0.1547619047619, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 84 }, ["render"] = "\\frac{13}{-84}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13}{84}", ["y"] = -13, ["z"] = 84 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.25", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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"] = "minus" }, ["render"] = "(5 - (-7))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "(5 - (-7)) \\cdot -7", ["typ"] = "krat" }, ["render"] = "\\frac{13}{(5 - (-7)) \\cdot -7}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.26, bodu=21, $$\frac{-9 \cdot \frac{-7}{-13}}{-7}=\textcolor{white}{\frac{9}{13}}$$return { ["body"] = 21, ["id"] = "Vs6koH_1215_0105", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = 0.69230769230769, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-63}{-91}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{13}", ["y"] = 9, ["z"] = 13 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.26", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{-13}", ["typ"] = "lomeno" }, ["render"] = "-9 \\cdot \\frac{-7}{-13}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 \\cdot \\frac{-7}{-13}}{-7}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.27, bodu=38, $$\frac{8}{9 \cdot 4\frac{1}{4} - 12}=\textcolor{white}{\frac{32}{105}}$$return { ["body"] = 38, ["id"] = "jYLwRS_1215_0105", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = 0.3047619047619, ["objekt"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 105 }, ["render"] = "\\frac{32}{105}", ["typ"] = "cislo" }, ["tex"] = "\\frac{32}{105}", ["y"] = 32, ["z"] = 105 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.27", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 4\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 4\\frac{1}{4} - 12", ["typ"] = "minus" }, ["render"] = "\\frac{8}{9 \\cdot 4\\frac{1}{4} - 12}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.28, bodu=14, $$10 + (-13 + (-14)) + 9 + (-4 - (-10))^3=\textcolor{white}{208}$$return { ["body"] = 14, ["id"] = "Sxwa9J_1215_0105", ["obtiznost"] = 0.3668, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 208, ["jmenovatel"] = 1 }, ["render"] = "\\frac{208}{1}", ["typ"] = "cislo" }, ["tex"] = "208", ["tex_float"] = "208", ["x"] = 208 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.28", ["zadani"] = { ["c1"] = { ["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"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-13 + (-14)", ["typ"] = "plus" }, ["render"] = "10 + (-13 + (-14))", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 + (-13 + (-14)) + 9", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-4 - (-10)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-4 - (-10))^3", ["typ"] = "mocnina" }, ["render"] = "10 + (-13 + (-14)) + 9 + (-4 - (-10))^3", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.29, bodu=24, $$\frac{11 \cdot -8}{10 - 7}=\textcolor{white}{-29\frac{1}{3}}$$return { ["body"] = 24, ["id"] = "u1B2oE_1215_0105", ["obtiznost"] = 0.29, ["reseni"] = { ["float"] = -29.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -88, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-88}{3}", ["typ"] = "cislo" }, ["tex"] = "-29\\frac{1}{3}", ["x"] = -29, ["y"] = 1, ["z"] = 3 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.29", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "10 - 7", ["typ"] = "minus" }, ["render"] = "\\frac{11 \\cdot -8}{10 - 7}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.3, bodu=24, $$\frac{7}{-10 \cdot 12} - (-9)=\textcolor{white}{8\frac{113}{120}}$$return { ["body"] = 24, ["id"] = "2VypZn_1215_0105", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = 8.9416666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1073, ["jmenovatel"] = 120 }, ["render"] = "\\frac{1073}{120}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{113}{120}", ["x"] = 8, ["y"] = 113, ["z"] = 120 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.3", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "\\frac{7}{-10 \\cdot 12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{-10 \\cdot 12} - (-9)", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.31, bodu=42, $$9 \cdot (-8 + 14) \cdot 1\frac{4}{10}=\textcolor{white}{75{,}6}$$return { ["body"] = 42, ["id"] = "f2bFOK_1215_0105", ["obtiznost"] = 0.51, ["reseni"] = { ["float"] = 75.6, ["objekt"] = { ["hodnota"] = { ["citatel"] = 378, ["jmenovatel"] = 5 }, ["render"] = "\\frac{378}{5}", ["typ"] = "cislo" }, ["tex"] = "75\\frac{3}{5}", ["tex_float"] = "75{,}6", ["x"] = 75, ["y"] = 3, ["z"] = 5 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.31", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-8 + 14", ["typ"] = "plus" }, ["render"] = "(-8 + 14)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "(-8 + 14) \\cdot 1\\frac{4}{10}", ["typ"] = "krat" }, ["render"] = "9 \\cdot (-8 + 14) \\cdot 1\\frac{4}{10}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.32, bodu=43, $$\frac{12 \cdot 3\frac{1}{2}}{5 + 3}=\textcolor{white}{5{,}25}$$return { ["body"] = 43, ["id"] = "lqJeWn_1215_0105", ["obtiznost"] = 0.52, ["reseni"] = { ["float"] = 5.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 4 }, ["render"] = "\\frac{42}{8}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{4}", ["tex_float"] = "5{,}25", ["x"] = 5, ["y"] = 1, ["z"] = 4 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 3\\frac{1}{2}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "5 + 3", ["typ"] = "plus" }, ["render"] = "\\frac{12 \\cdot 3\\frac{1}{2}}{5 + 3}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.33, bodu=13, $$5 + (-5) - (-7 \cdot -11 + 8)=\textcolor{white}{-85}$$return { ["body"] = 13, ["id"] = "tTmJ7F_1215_0105", ["obtiznost"] = 0.33, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -85, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-85}{1}", ["typ"] = "cislo" }, ["tex"] = "-85", ["tex_float"] = "-85", ["x"] = -85 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "5 + (-5)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot -11 + 8", ["typ"] = "plus" }, ["render"] = "(-7 \\cdot -11 + 8)", ["typ"] = "zavorka" }, ["render"] = "5 + (-5) - (-7 \\cdot -11 + 8)", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.34, bodu=67, $$(\frac{13}{3\frac{3}{10}} + 9) \cdot (2\frac{3}{4} - 11)=\textcolor{white}{-106{,}75}$$return { ["body"] = 67, ["id"] = "z2SrN9_1215_0105", ["obtiznost"] = 0.74, ["reseni"] = { ["float"] = -106.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -427, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-14091}{132}", ["typ"] = "cislo" }, ["tex"] = "-106\\frac{3}{4}", ["tex_float"] = "-106{,}75", ["x"] = -106, ["y"] = 3, ["z"] = 4 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.34", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{3\\frac{3}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{3\\frac{3}{10}} + 9", ["typ"] = "plus" }, ["render"] = "(\\frac{13}{3\\frac{3}{10}} + 9)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{4} - 11", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{4} - 11)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{13}{3\\frac{3}{10}} + 9) \\cdot (2\\frac{3}{4} - 11)", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.35, bodu=28, $$\frac{13 - (-14)}{5 - (-13)}=\textcolor{white}{1{,}5}$$return { ["body"] = 28, ["id"] = "KbZQ9S_1215_0105", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = 1.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "\\frac{27}{18}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1}{2}", ["tex_float"] = "1{,}5", ["x"] = 1, ["y"] = 1, ["z"] = 2 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.35", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "13 - (-14)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "5 - (-13)", ["typ"] = "minus" }, ["render"] = "\\frac{13 - (-14)}{5 - (-13)}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.36, bodu=14, $$13 \cdot (6 - (-14)) \cdot 12=\textcolor{white}{3120}$$return { ["body"] = 14, ["id"] = "v3yjla_1215_0105", ["obtiznost"] = 0.36, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 3120, ["jmenovatel"] = 1 }, ["render"] = "\\frac{3120}{1}", ["typ"] = "cislo" }, ["tex"] = "3120", ["tex_float"] = "3120", ["x"] = 3120 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.36", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "6 - (-14)", ["typ"] = "minus" }, ["render"] = "(6 - (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(6 - (-14)) \\cdot 12", ["typ"] = "krat" }, ["render"] = "13 \\cdot (6 - (-14)) \\cdot 12", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.37, bodu=29, $$((-11 - (-9))^2 + 5)^3 - 9 \cdot 9=\textcolor{white}{648}$$return { ["body"] = 29, ["id"] = "J6gXJt_1215_0105", ["obtiznost"] = 0.664, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 648, ["jmenovatel"] = 1 }, ["render"] = "\\frac{648}{1}", ["typ"] = "cislo" }, ["tex"] = "648", ["tex_float"] = "648", ["x"] = 648 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.37", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-11 - (-9)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-11 - (-9))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(-11 - (-9))^2 + 5", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "((-11 - (-9))^2 + 5)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 9", ["typ"] = "krat" }, ["render"] = "((-11 - (-9))^2 + 5)^3 - 9 \\cdot 9", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.38, bodu=31, $$\frac{-13}{8} \cdot (-9 - 11)=\textcolor{white}{32{,}5}$$return { ["body"] = 31, ["id"] = "FlC4uc_1215_0105", ["obtiznost"] = 0.38, ["reseni"] = { ["float"] = 32.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 65, ["jmenovatel"] = 2 }, ["render"] = "\\frac{260}{8}", ["typ"] = "cislo" }, ["tex"] = "32\\frac{1}{2}", ["tex_float"] = "32{,}5", ["x"] = 32, ["y"] = 1, ["z"] = 2 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "-9 - 11", ["typ"] = "minus" }, ["render"] = "(-9 - 11)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-13}{8} \\cdot (-9 - 11)", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.39, bodu=31, $$9 - \frac{\frac{9}{12}}{11}=\textcolor{white}{8\frac{41}{44}}$$return { ["body"] = 31, ["id"] = "xaku4P_1215_0105", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = 8.9318181818182, ["objekt"] = { ["hodnota"] = { ["citatel"] = 393, ["jmenovatel"] = 44 }, ["render"] = "\\frac{393}{44}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{41}{44}", ["x"] = 8, ["y"] = 41, ["z"] = 44 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.39", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{9}{12}}{11}", ["typ"] = "lomeno" }, ["render"] = "9 - \\frac{\\frac{9}{12}}{11}", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.4, bodu=34, $$\frac{\frac{4}{(\frac{3}{7})^2}}{12}=\textcolor{white}{1\frac{22}{27}}$$return { ["body"] = 34, ["id"] = "QGMBlF_1215_0105", ["obtiznost"] = 0.4232, ["reseni"] = { ["float"] = 1.8148148148148, ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 27 }, ["render"] = "\\frac{196}{108}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{22}{27}", ["x"] = 1, ["y"] = 22, ["z"] = 27 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{3}{7})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{4}{(\\frac{3}{7})^2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4}{(\\frac{3}{7})^2}}{12}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.41, bodu=16, $$12 - (9 - 16) + 10 - 15 - (-4)=\textcolor{white}{18}$$return { ["body"] = 16, ["id"] = "Q1Dqny_1215_0105", ["obtiznost"] = 0.41, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "\\frac{18}{1}", ["typ"] = "cislo" }, ["tex"] = "18", ["tex_float"] = "18", ["x"] = 18 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "9 - 16", ["typ"] = "minus" }, ["render"] = "(9 - 16)", ["typ"] = "zavorka" }, ["render"] = "12 - (9 - 16)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "12 - (9 - 16) + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "12 - (9 - 16) + 10 - 15", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "12 - (9 - 16) + 10 - 15 - (-4)", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.42, bodu=17, $$9 + 7 - (7 + (-6 \cdot 13)) - (-8)=\textcolor{white}{95}$$return { ["body"] = 17, ["id"] = "Jd3K38_1215_0105", ["obtiznost"] = 0.42, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 95, ["jmenovatel"] = 1 }, ["render"] = "\\frac{95}{1}", ["typ"] = "cislo" }, ["tex"] = "95", ["x"] = 95 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "9 + 7", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 13", ["typ"] = "krat" }, ["render"] = "7 + (-6 \\cdot 13)", ["typ"] = "plus" }, ["render"] = "(7 + (-6 \\cdot 13))", ["typ"] = "zavorka" }, ["render"] = "9 + 7 - (7 + (-6 \\cdot 13))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "9 + 7 - (7 + (-6 \\cdot 13)) - (-8)", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.43, bodu=43, $$9 - (-16) - (-9) - (\frac{-5}{14})^2=\textcolor{white}{33\frac{171}{196}}$$return { ["body"] = 43, ["id"] = "2nUCFW_1215_0105", ["obtiznost"] = 0.5184, ["reseni"] = { ["float"] = 33.872448979592, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6639, ["jmenovatel"] = 196 }, ["render"] = "\\frac{6639}{196}", ["typ"] = "cislo" }, ["tex"] = "33\\frac{171}{196}", ["x"] = 33, ["y"] = 171, ["z"] = 196 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.43", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "9 - (-16)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "9 - (-16) - (-9)", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{14}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-5}{14})^2", ["typ"] = "mocnina" }, ["render"] = "9 - (-16) - (-9) - (\\frac{-5}{14})^2", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.44, bodu=67, $$9 \cdot \frac{(\frac{13}{3\frac{2}{8}})^4}{11}=\textcolor{white}{209\frac{5}{11}}$$return { ["body"] = 67, ["id"] = "AT8js2_1215_0105", ["obtiznost"] = 0.7428, ["reseni"] = { ["float"] = 209.45454545455, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2304, ["jmenovatel"] = 11 }, ["render"] = "\\frac{2304}{11}", ["typ"] = "cislo" }, ["tex"] = "209\\frac{5}{11}", ["x"] = 209, ["y"] = 5, ["z"] = 11 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.44", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{3\\frac{2}{8}}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{13}{3\\frac{2}{8}})^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{(\\frac{13}{3\\frac{2}{8}})^4}{11}", ["typ"] = "lomeno" }, ["render"] = "9 \\cdot \\frac{(\\frac{13}{3\\frac{2}{8}})^4}{11}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.45, bodu=80, $$11 \cdot \frac{(4\frac{3}{4} - 1\frac{5}{8}) \cdot 9}{7}=\textcolor{white}{44\frac{11}{56}}$$return { ["body"] = 80, ["id"] = "2AHrNI_1215_0105", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = 44.196428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2475, ["jmenovatel"] = 56 }, ["render"] = "\\frac{2475}{56}", ["typ"] = "cislo" }, ["tex"] = "44\\frac{11}{56}", ["x"] = 44, ["y"] = 11, ["z"] = 56 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.45", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{4} - 1\\frac{5}{8}", ["typ"] = "minus" }, ["render"] = "(4\\frac{3}{4} - 1\\frac{5}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(4\\frac{3}{4} - 1\\frac{5}{8}) \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{(4\\frac{3}{4} - 1\\frac{5}{8}) \\cdot 9}{7}", ["typ"] = "lomeno" }, ["render"] = "11 \\cdot \\frac{(4\\frac{3}{4} - 1\\frac{5}{8}) \\cdot 9}{7}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.46, bodu=81, $$\frac{1\frac{3}{7}}{2\frac{3}{7}} - \frac{-11 + 14}{8}=\textcolor{white}{\frac{29}{136}}$$return { ["body"] = 81, ["id"] = "Hh5Lav_1215_0105", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = 0.21323529411765, ["objekt"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 136 }, ["render"] = "\\frac{29}{136}", ["typ"] = "cislo" }, ["tex"] = "\\frac{29}{136}", ["y"] = 29, ["z"] = 136 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{3}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-11 + 14", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 + 14}{8}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{3}{7}} - \\frac{-11 + 14}{8}", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.47, bodu=19, $$-11 - (-10 - 13) \cdot 15 \cdot 9=\textcolor{white}{3094}$$return { ["body"] = 19, ["id"] = "nJR2tV_1215_0105", ["obtiznost"] = 0.47, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 3094, ["jmenovatel"] = 1 }, ["render"] = "\\frac{3094}{1}", ["typ"] = "cislo" }, ["tex"] = "3094", ["x"] = 3094 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-10 - 13", ["typ"] = "minus" }, ["render"] = "(-10 - 13)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 9", ["typ"] = "krat" }, ["render"] = "(-10 - 13) \\cdot 15 \\cdot 9", ["typ"] = "krat" }, ["render"] = "-11 - (-10 - 13) \\cdot 15 \\cdot 9", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.48, bodu=60, $$\frac{4\frac{3}{11}}{\frac{9 + 6}{9} + 11}=\textcolor{white}{\frac{141}{418}}$$return { ["body"] = 60, ["id"] = "VIEbkY_1215_0105", ["obtiznost"] = 0.68, ["reseni"] = { ["float"] = 0.33732057416268, ["objekt"] = { ["hodnota"] = { ["citatel"] = 141, ["jmenovatel"] = 418 }, ["render"] = "\\frac{141}{418}", ["typ"] = "cislo" }, ["tex"] = "\\frac{141}{418}", ["y"] = 141, ["z"] = 418 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.48", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["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"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{9 + 6}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{9 + 6}{9} + 11", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{3}{11}}{\\frac{9 + 6}{9} + 11}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.49, bodu=85, $$-3 - (15 + 3\frac{5}{11} + \frac{-8}{2\frac{5}{10}}) - 7=\textcolor{white}{-25\frac{14}{55}}$$return { ["body"] = 85, ["id"] = "XCjWkN_1215_0105", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = -25.254545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1389, ["jmenovatel"] = 55 }, ["render"] = "\\frac{-1389}{55}", ["typ"] = "cislo" }, ["tex"] = "-25\\frac{14}{55}", ["x"] = -25, ["y"] = 14, ["z"] = 55 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "15 + 3\\frac{5}{11}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{2\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "15 + 3\\frac{5}{11} + \\frac{-8}{2\\frac{5}{10}}", ["typ"] = "plus" }, ["render"] = "(15 + 3\\frac{5}{11} + \\frac{-8}{2\\frac{5}{10}})", ["typ"] = "zavorka" }, ["render"] = "-3 - (15 + 3\\frac{5}{11} + \\frac{-8}{2\\frac{5}{10}})", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-3 - (15 + 3\\frac{5}{11} + \\frac{-8}{2\\frac{5}{10}}) - 7", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.5, bodu=63, $$(4 + 14) \cdot ((-8 + 6)^4 + (-5 + 2\frac{2}{5}))=\textcolor{white}{241{,}2}$$return { ["body"] = 63, ["id"] = "gVaupE_1215_0105", ["obtiznost"] = 0.7068, ["reseni"] = { ["float"] = 241.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1206, ["jmenovatel"] = 5 }, ["render"] = "\\frac{1206}{5}", ["typ"] = "cislo" }, ["tex"] = "241\\frac{1}{5}", ["tex_float"] = "241{,}2", ["x"] = 241, ["y"] = 1, ["z"] = 5 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.5", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4 + 14", ["typ"] = "plus" }, ["render"] = "(4 + 14)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-8 + 6", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-8 + 6)^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "-5 + 2\\frac{2}{5}", ["typ"] = "plus" }, ["render"] = "(-8 + 6)^4 + (-5 + 2\\frac{2}{5})", ["typ"] = "plus" }, ["render"] = "((-8 + 6)^4 + (-5 + 2\\frac{2}{5}))", ["typ"] = "zavorka" }, ["render"] = "(4 + 14) \\cdot ((-8 + 6)^4 + (-5 + 2\\frac{2}{5}))", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.51, bodu=63, $$-4 + 3\frac{1}{8} + (-9) - (6 + (-12) - (-9))=\textcolor{white}{-12{,}875}$$return { ["body"] = 63, ["id"] = "X8Ht10_1215_0105", ["obtiznost"] = 0.71, ["reseni"] = { ["float"] = -12.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -103, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-103}{8}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{7}{8}", ["tex_float"] = "-12{,}875", ["x"] = -12, ["y"] = 7, ["z"] = 8 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.51", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{8} + (-9)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "6 + (-12)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "6 + (-12) - (-9)", ["typ"] = "minus" }, ["render"] = "(6 + (-12) - (-9))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{1}{8} + (-9) - (6 + (-12) - (-9))", ["typ"] = "minus" }, ["render"] = "-4 + 3\\frac{1}{8} + (-9) - (6 + (-12) - (-9))", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.52, bodu=116, $$\frac{-9 + 3\frac{4}{8} - (-6) + (3\frac{2}{6} + 4)^2}{-13}=\textcolor{white}{-4\frac{41}{234}}$$return { ["body"] = 116, ["id"] = "mi5BeD_1215_0105", ["obtiznost"] = 1.1172, ["reseni"] = { ["float"] = -4.1752136752137, ["objekt"] = { ["hodnota"] = { ["citatel"] = -977, ["jmenovatel"] = 234 }, ["render"] = "\\frac{977}{-234}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{41}{234}", ["x"] = -4, ["y"] = 41, ["z"] = 234 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{8} - (-6)", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{6} + 4", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{2}{6} + 4)^2", ["typ"] = "mocnina" }, ["render"] = "3\\frac{4}{8} - (-6) + (3\\frac{2}{6} + 4)^2", ["typ"] = "plus" }, ["render"] = "-9 + 3\\frac{4}{8} - (-6) + (3\\frac{2}{6} + 4)^2", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 + 3\\frac{4}{8} - (-6) + (3\\frac{2}{6} + 4)^2}{-13}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.53, bodu=90, $$\frac{10}{1\frac{4}{6}} \cdot (14 - 1\frac{1}{7} + 7)=\textcolor{white}{119\frac{1}{7}}$$return { ["body"] = 90, ["id"] = "7xnpf3_1215_0105", ["obtiznost"] = 0.93, ["reseni"] = { ["float"] = 119.14285714286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 834, ["jmenovatel"] = 7 }, ["render"] = "\\frac{834}{7}", ["typ"] = "cislo" }, ["tex"] = "119\\frac{1}{7}", ["x"] = 119, ["y"] = 1, ["z"] = 7 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.53", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{1\\frac{4}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "14 - 1\\frac{1}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "14 - 1\\frac{1}{7} + 7", ["typ"] = "plus" }, ["render"] = "(14 - 1\\frac{1}{7} + 7)", ["typ"] = "zavorka" }, ["render"] = "\\frac{10}{1\\frac{4}{6}} \\cdot (14 - 1\\frac{1}{7} + 7)", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.54, bodu=92, $$-6 - \frac{3\frac{4}{7} - (-8)}{-5 \cdot 4\frac{4}{10}}=\textcolor{white}{-5\frac{73}{154}}$$return { ["body"] = 92, ["id"] = "P9QUVk_1215_0105", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = -5.474025974026, ["objekt"] = { ["hodnota"] = { ["citatel"] = -843, ["jmenovatel"] = 154 }, ["render"] = "\\frac{-843}{154}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{73}{154}", ["x"] = -5, ["y"] = 73, ["z"] = 154 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.54", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{7} - (-8)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 4\\frac{4}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{4}{7} - (-8)}{-5 \\cdot 4\\frac{4}{10}}", ["typ"] = "lomeno" }, ["render"] = "-6 - \\frac{3\\frac{4}{7} - (-8)}{-5 \\cdot 4\\frac{4}{10}}", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.55, bodu=121, $$(13 + 7) \cdot (3\frac{4}{9} - 2\frac{4}{9})^3 \cdot 1\frac{1}{3}=\textcolor{white}{26\frac{2}{3}}$$return { ["body"] = 121, ["id"] = "IA6i6G_1215_0105", ["obtiznost"] = 1.1508, ["reseni"] = { ["float"] = 26.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 80, ["jmenovatel"] = 3 }, ["render"] = "\\frac{80}{3}", ["typ"] = "cislo" }, ["tex"] = "26\\frac{2}{3}", ["x"] = 26, ["y"] = 2, ["z"] = 3 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.55", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "13 + 7", ["typ"] = "plus" }, ["render"] = "(13 + 7)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} - 2\\frac{4}{9}", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(3\\frac{4}{9} - 2\\frac{4}{9})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{4}{9} - 2\\frac{4}{9})^3 \\cdot 1\\frac{1}{3}", ["typ"] = "krat" }, ["render"] = "(13 + 7) \\cdot (3\\frac{4}{9} - 2\\frac{4}{9})^3 \\cdot 1\\frac{1}{3}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.56, bodu=122, $$\frac{-3 - 3\frac{5}{10} + 1\frac{1}{4}}{3\frac{5}{11} \cdot 11}=\textcolor{white}{-\frac{21}{152}}$$return { ["body"] = 122, ["id"] = "zVERfs_1215_0105", ["obtiznost"] = 1.16, ["reseni"] = { ["float"] = -0.13815789473684, ["objekt"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 152 }, ["render"] = "\\frac{-21}{152}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{21}{152}", ["y"] = -21, ["z"] = 152 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-3 - 3\\frac{5}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "-3 - 3\\frac{5}{10} + 1\\frac{1}{4}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{11} \\cdot 11", ["typ"] = "krat" }, ["render"] = "\\frac{-3 - 3\\frac{5}{10} + 1\\frac{1}{4}}{3\\frac{5}{11} \\cdot 11}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.57, bodu=95, $$\frac{\frac{-11 + 2\frac{3}{5}}{3\frac{3}{10} \cdot 13}}{5}=\textcolor{white}{-\frac{28}{715}}$$return { ["body"] = 95, ["id"] = "65uaZV_1215_0105", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = -0.039160839160839, ["objekt"] = { ["hodnota"] = { ["citatel"] = -28, ["jmenovatel"] = 715 }, ["render"] = "\\frac{-28}{715}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{28}{715}", ["y"] = -28, ["z"] = 715 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "-11 + 2\\frac{3}{5}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 10 }, ["render"] = "3\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{10} \\cdot 13", ["typ"] = "krat" }, ["render"] = "\\frac{-11 + 2\\frac{3}{5}}{3\\frac{3}{10} \\cdot 13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-11 + 2\\frac{3}{5}}{3\\frac{3}{10} \\cdot 13}}{5}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.58, bodu=158, $$15 - (-9) - (4\frac{4}{8} - 15 - (4\frac{2}{6} + 3\frac{4}{12})^2)=\textcolor{white}{93\frac{5}{18}}$$return { ["body"] = 158, ["id"] = "7UOLNg_1215_0105", ["obtiznost"] = 1.3952, ["reseni"] = { ["float"] = 93.277777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1679, ["jmenovatel"] = 18 }, ["render"] = "\\frac{1679}{18}", ["typ"] = "cislo" }, ["tex"] = "93\\frac{5}{18}", ["x"] = 93, ["y"] = 5, ["z"] = 18 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "15 - (-9)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} - 15", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{6} + 3\\frac{4}{12}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{2}{6} + 3\\frac{4}{12})^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{8} - 15 - (4\\frac{2}{6} + 3\\frac{4}{12})^2", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{8} - 15 - (4\\frac{2}{6} + 3\\frac{4}{12})^2)", ["typ"] = "zavorka" }, ["render"] = "15 - (-9) - (4\\frac{4}{8} - 15 - (4\\frac{2}{6} + 3\\frac{4}{12})^2)", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.59, bodu=98, $$2\frac{4}{6} - (-5 + 3\frac{3}{12}) \cdot -19 \cdot 10=\textcolor{white}{-329\frac{5}{6}}$$return { ["body"] = 98, ["id"] = "BXjbAR_1215_0105", ["obtiznost"] = 0.99, ["reseni"] = { ["float"] = -329.83333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1979, ["jmenovatel"] = 6 }, ["render"] = "\\frac{-1979}{6}", ["typ"] = "cislo" }, ["tex"] = "-329\\frac{5}{6}", ["x"] = -329, ["y"] = 5, ["z"] = 6 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.59", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "-5 + 3\\frac{3}{12}", ["typ"] = "plus" }, ["render"] = "(-5 + 3\\frac{3}{12})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-19 \\cdot 10", ["typ"] = "krat" }, ["render"] = "(-5 + 3\\frac{3}{12}) \\cdot -19 \\cdot 10", ["typ"] = "krat" }, ["render"] = "2\\frac{4}{6} - (-5 + 3\\frac{3}{12}) \\cdot -19 \\cdot 10", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.6, bodu=128, $$(\frac{17}{17})^3 - (9 + 2\frac{2}{8} - 1\frac{4}{8} \cdot 1\frac{5}{11})=\textcolor{white}{-8\frac{3}{44}}$$return { ["body"] = 128, ["id"] = "1ybgpY_1215_0105", ["obtiznost"] = 1.2008, ["reseni"] = { ["float"] = -8.0681818181818, ["objekt"] = { ["hodnota"] = { ["citatel"] = -355, ["jmenovatel"] = 44 }, ["render"] = "\\frac{-355}{44}", ["typ"] = "cislo" }, ["tex"] = "-8\\frac{3}{44}", ["x"] = -8, ["y"] = 3, ["z"] = 44 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.6", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{17}{17}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{17}{17})^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "9 + 2\\frac{2}{8}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{8} \\cdot 1\\frac{5}{11}", ["typ"] = "krat" }, ["render"] = "9 + 2\\frac{2}{8} - 1\\frac{4}{8} \\cdot 1\\frac{5}{11}", ["typ"] = "minus" }, ["render"] = "(9 + 2\\frac{2}{8} - 1\\frac{4}{8} \\cdot 1\\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "(\\frac{17}{17})^3 - (9 + 2\\frac{2}{8} - 1\\frac{4}{8} \\cdot 1\\frac{5}{11})", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.61, bodu=101, $$14 - 2\frac{3}{7} + (-8 - 13 - (14 - 4\frac{4}{8}))=\textcolor{white}{-18\frac{13}{14}}$$return { ["body"] = 101, ["id"] = "GRUEtP_1215_0105", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = -18.928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -265, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-265}{14}", ["typ"] = "cislo" }, ["tex"] = "-18\\frac{13}{14}", ["x"] = -18, ["y"] = 13, ["z"] = 14 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "14 - 2\\frac{3}{7}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-8 - 13", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "14 - 4\\frac{4}{8}", ["typ"] = "minus" }, ["render"] = "(14 - 4\\frac{4}{8})", ["typ"] = "zavorka" }, ["render"] = "-8 - 13 - (14 - 4\\frac{4}{8})", ["typ"] = "minus" }, ["render"] = "14 - 2\\frac{3}{7} + (-8 - 13 - (14 - 4\\frac{4}{8}))", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.62, bodu=89, $$\frac{\frac{18}{(-13 + 17)^4}}{\frac{-14 + 2\frac{2}{11}}{12}}=\textcolor{white}{-\frac{297}{4160}}$$return { ["body"] = 89, ["id"] = "bITAXD_1215_0105", ["obtiznost"] = 0.9228, ["reseni"] = { ["float"] = -0.071394230769231, ["objekt"] = { ["hodnota"] = { ["citatel"] = -297, ["jmenovatel"] = 4160 }, ["render"] = "\\frac{594}{-8320}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{297}{4160}", ["y"] = -297, ["z"] = 4160 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "-13 + 17", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-13 + 17)^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{18}{(-13 + 17)^4}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "-14 + 2\\frac{2}{11}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-14 + 2\\frac{2}{11}}{12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{18}{(-13 + 17)^4}}{\\frac{-14 + 2\\frac{2}{11}}{12}}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.63, bodu=163, $$\frac{\frac{2\frac{1}{5}}{-7}}{\frac{1\frac{4}{9}}{4\frac{2}{4} + 2\frac{1}{7}}}=\textcolor{white}{-1\frac{2837}{6370}}$$return { ["body"] = 163, ["id"] = "yIde6i_1215_0105", ["obtiznost"] = 1.43, ["reseni"] = { ["float"] = -1.4453689167975, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9207, ["jmenovatel"] = 6370 }, ["render"] = "\\frac{-9207}{6370}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{2837}{6370}", ["x"] = -1, ["y"] = 2837, ["z"] = 6370 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{5}}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{4} + 2\\frac{1}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{4}{9}}{4\\frac{2}{4} + 2\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{2\\frac{1}{5}}{-7}}{\\frac{1\\frac{4}{9}}{4\\frac{2}{4} + 2\\frac{1}{7}}}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.64, bodu=79, $$18 \cdot (\frac{\frac{2\frac{1}{6}}{-15}}{18} + (-11))=\textcolor{white}{-198\frac{13}{90}}$$return { ["body"] = 79, ["id"] = "TP6UBS_1215_0105", ["obtiznost"] = 0.84, ["reseni"] = { ["float"] = -198.14444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17833, ["jmenovatel"] = 90 }, ["render"] = "\\frac{-320994}{1620}", ["typ"] = "cislo" }, ["tex"] = "-198\\frac{13}{90}", ["x"] = -198, ["y"] = 13, ["z"] = 90 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.64", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{6}}{-15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{1}{6}}{-15}}{18}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{1}{6}}{-15}}{18} + (-11)", ["typ"] = "plus" }, ["render"] = "(\\frac{\\frac{2\\frac{1}{6}}{-15}}{18} + (-11))", ["typ"] = "zavorka" }, ["render"] = "18 \\cdot (\\frac{\\frac{2\\frac{1}{6}}{-15}}{18} + (-11))", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.65, bodu=80, $$10 + 8 - \frac{11}{2\frac{1}{7} + \frac{8}{6}}=\textcolor{white}{14\frac{61}{73}}$$return { ["body"] = 80, ["id"] = "m2vgCD_1215_0105", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = 14.835616438356, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1083, ["jmenovatel"] = 73 }, ["render"] = "\\frac{1083}{73}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{61}{73}", ["x"] = 14, ["y"] = 61, ["z"] = 73 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 + 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "2\\frac{1}{7} + \\frac{8}{6}", ["typ"] = "plus" }, ["render"] = "\\frac{11}{2\\frac{1}{7} + \\frac{8}{6}}", ["typ"] = "lomeno" }, ["render"] = "10 + 8 - \\frac{11}{2\\frac{1}{7} + \\frac{8}{6}}", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.66, bodu=137, $$-6 - \frac{1\frac{4}{10}}{17} - 1\frac{1}{10} - (-12) - 2\frac{3}{6}=\textcolor{white}{2\frac{27}{85}}$$return { ["body"] = 137, ["id"] = "7qBtCi_1215_0105", ["obtiznost"] = 1.26, ["reseni"] = { ["float"] = 2.3176470588235, ["objekt"] = { ["hodnota"] = { ["citatel"] = 197, ["jmenovatel"] = 85 }, ["render"] = "\\frac{788}{340}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{27}{85}", ["x"] = 2, ["y"] = 27, ["z"] = 85 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{10}}{17}", ["typ"] = "lomeno" }, ["render"] = "-6 - \\frac{1\\frac{4}{10}}{17}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "-6 - \\frac{1\\frac{4}{10}}{17} - 1\\frac{1}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-6 - \\frac{1\\frac{4}{10}}{17} - 1\\frac{1}{10} - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-6 - \\frac{1\\frac{4}{10}}{17} - 1\\frac{1}{10} - (-12) - 2\\frac{3}{6}", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.67, bodu=109, $$(-9 + 17 - (16 \cdot 10 + 1\frac{5}{9})) \cdot 1\frac{1}{6}=\textcolor{white}{-179\frac{4}{27}}$$return { ["body"] = 109, ["id"] = "FrgvUP_1215_0105", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = -179.14814814815, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4837, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-9674}{54}", ["typ"] = "cislo" }, ["tex"] = "-179\\frac{4}{27}", ["x"] = -179, ["y"] = 4, ["z"] = 27 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.67", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "16 \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "16 \\cdot 10 + 1\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "(16 \\cdot 10 + 1\\frac{5}{9})", ["typ"] = "zavorka" }, ["render"] = "17 - (16 \\cdot 10 + 1\\frac{5}{9})", ["typ"] = "minus" }, ["render"] = "-9 + 17 - (16 \\cdot 10 + 1\\frac{5}{9})", ["typ"] = "plus" }, ["render"] = "(-9 + 17 - (16 \\cdot 10 + 1\\frac{5}{9}))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "(-9 + 17 - (16 \\cdot 10 + 1\\frac{5}{9})) \\cdot 1\\frac{1}{6}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.68, bodu=111, $$(-15 + 4\frac{3}{9} + 4\frac{5}{10}) \cdot 18 + \frac{-12}{7}=\textcolor{white}{-112\frac{5}{7}}$$return { ["body"] = 111, ["id"] = "MGvKJP_1215_0105", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = -112.71428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -789, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-789}{7}", ["typ"] = "cislo" }, ["tex"] = "-112\\frac{5}{7}", ["x"] = -112, ["y"] = 5, ["z"] = 7 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "-15 + 4\\frac{3}{9}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-15 + 4\\frac{3}{9} + 4\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "(-15 + 4\\frac{3}{9} + 4\\frac{5}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "(-15 + 4\\frac{3}{9} + 4\\frac{5}{10}) \\cdot 18", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{7}", ["typ"] = "lomeno" }, ["render"] = "(-15 + 4\\frac{3}{9} + 4\\frac{5}{10}) \\cdot 18 + \\frac{-12}{7}", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.69, bodu=85, $$\frac{14}{3\frac{4}{5} \cdot (19 \cdot -14 - 12)}=\textcolor{white}{-\frac{35}{2641}}$$return { ["body"] = 85, ["id"] = "PvwGqh_1215_0105", ["obtiznost"] = 0.89, ["reseni"] = { ["float"] = -0.013252555850057, ["objekt"] = { ["hodnota"] = { ["citatel"] = -35, ["jmenovatel"] = 2641 }, ["render"] = "\\frac{70}{-5282}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{35}{2641}", ["y"] = -35, ["z"] = 2641 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.69", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "19 \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "19 \\cdot -14 - 12", ["typ"] = "minus" }, ["render"] = "(19 \\cdot -14 - 12)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{5} \\cdot (19 \\cdot -14 - 12)", ["typ"] = "krat" }, ["render"] = "\\frac{14}{3\\frac{4}{5} \\cdot (19 \\cdot -14 - 12)}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.7, bodu=143, $$1\frac{4}{10} \cdot 14 \cdot 2\frac{4}{8} \cdot 9 \cdot 3\frac{4}{8}=\textcolor{white}{1543{,}5}$$return { ["body"] = 143, ["id"] = "q6Q0Dg_1215_0105", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = 1543.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3087, ["jmenovatel"] = 2 }, ["render"] = "\\frac{15435}{10}", ["typ"] = "cislo" }, ["tex"] = "1543\\frac{1}{2}", ["tex_float"] = "1543{,}5", ["x"] = 1543, ["y"] = 1, ["z"] = 2 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.7", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{8} \\cdot 9", ["typ"] = "krat" }, ["render"] = "14 \\cdot 2\\frac{4}{8} \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "14 \\cdot 2\\frac{4}{8} \\cdot 9 \\cdot 3\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "1\\frac{4}{10} \\cdot 14 \\cdot 2\\frac{4}{8} \\cdot 9 \\cdot 3\\frac{4}{8}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.71, bodu=90, $$\frac{\frac{16}{3\frac{2}{5}}}{3} \cdot (-14 - (-7))^2=\textcolor{white}{76\frac{44}{51}}$$return { ["body"] = 90, ["id"] = "XHz9ao_1215_0105", ["obtiznost"] = 0.93, ["reseni"] = { ["float"] = 76.862745098039, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3920, ["jmenovatel"] = 51 }, ["render"] = "\\frac{3920}{51}", ["typ"] = "cislo" }, ["tex"] = "76\\frac{44}{51}", ["x"] = 76, ["y"] = 44, ["z"] = 51 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{3\\frac{2}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{16}{3\\frac{2}{5}}}{3}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-14 - (-7)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-14 - (-7))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{16}{3\\frac{2}{5}}}{3} \\cdot (-14 - (-7))^2", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.72, bodu=116, $$13 - (14 + 7 - \frac{2\frac{5}{8}}{4\frac{3}{8}} + (-11))=\textcolor{white}{3{,}6}$$return { ["body"] = 116, ["id"] = "2OVXvR_1215_0105", ["obtiznost"] = 1.12, ["reseni"] = { ["float"] = 3.6, ["objekt"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 5 }, ["render"] = "\\frac{18}{5}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{3}{5}", ["tex_float"] = "3{,}6", ["x"] = 3, ["y"] = 3, ["z"] = 5 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.72", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{8}}{4\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "7 - \\frac{2\\frac{5}{8}}{4\\frac{3}{8}}", ["typ"] = "minus" }, ["render"] = "14 + 7 - \\frac{2\\frac{5}{8}}{4\\frac{3}{8}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "14 + 7 - \\frac{2\\frac{5}{8}}{4\\frac{3}{8}} + (-11)", ["typ"] = "plus" }, ["render"] = "(14 + 7 - \\frac{2\\frac{5}{8}}{4\\frac{3}{8}} + (-11))", ["typ"] = "zavorka" }, ["render"] = "13 - (14 + 7 - \\frac{2\\frac{5}{8}}{4\\frac{3}{8}} + (-11))", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.73, bodu=33, $$(4 + (-11 - 12 \cdot 10)) \cdot -16 - (-9)=\textcolor{white}{2041}$$return { ["body"] = 33, ["id"] = "Xsu0yQ_1215_0105", ["obtiznost"] = 0.73, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2041, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2041}{1}", ["typ"] = "cislo" }, ["tex"] = "2041", ["tex_float"] = "2041", ["x"] = 2041 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "12 \\cdot 10", ["typ"] = "krat" }, ["render"] = "-11 - 12 \\cdot 10", ["typ"] = "minus" }, ["render"] = "4 + (-11 - 12 \\cdot 10)", ["typ"] = "plus" }, ["render"] = "(4 + (-11 - 12 \\cdot 10))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "(4 + (-11 - 12 \\cdot 10)) \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(4 + (-11 - 12 \\cdot 10)) \\cdot -16 - (-9)", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.74, bodu=122, $$-12 + (-19 + (-12)) + (-6 \cdot 3\frac{5}{10} + 15 + 2\frac{2}{4})^2=\textcolor{white}{-30{,}75}$$return { ["body"] = 122, ["id"] = "e47LhC_1215_0105", ["obtiznost"] = 1.1612, ["reseni"] = { ["float"] = -30.75, ["objekt"] = { ["hodnota"] = { ["citatel"] = -123, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-123}{4}", ["typ"] = "cislo" }, ["tex"] = "-30\\frac{3}{4}", ["tex_float"] = "-30{,}75", ["x"] = -30, ["y"] = 3, ["z"] = 4 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-19 + (-12)", ["typ"] = "plus" }, ["render"] = "-12 + (-19 + (-12))", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 3\\frac{5}{10}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 3\\frac{5}{10} + 15", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "-6 \\cdot 3\\frac{5}{10} + 15 + 2\\frac{2}{4}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-6 \\cdot 3\\frac{5}{10} + 15 + 2\\frac{2}{4})^2", ["typ"] = "mocnina" }, ["render"] = "-12 + (-19 + (-12)) + (-6 \\cdot 3\\frac{5}{10} + 15 + 2\\frac{2}{4})^2", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.75, bodu=183, $$(-12 \cdot 4\frac{1}{6} - 3\frac{3}{7} \cdot 3\frac{4}{7}) \cdot 3\frac{4}{8}=\textcolor{white}{-217\frac{6}{7}}$$return { ["body"] = 183, ["id"] = "mGvIlu_1215_0105", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = -217.85714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1525, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-21350}{98}", ["typ"] = "cislo" }, ["tex"] = "-217\\frac{6}{7}", ["x"] = -217, ["y"] = 6, ["z"] = 7 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.75", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 4\\frac{1}{6}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{7} \\cdot 3\\frac{4}{7}", ["typ"] = "krat" }, ["render"] = "-12 \\cdot 4\\frac{1}{6} - 3\\frac{3}{7} \\cdot 3\\frac{4}{7}", ["typ"] = "minus" }, ["render"] = "(-12 \\cdot 4\\frac{1}{6} - 3\\frac{3}{7} \\cdot 3\\frac{4}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "(-12 \\cdot 4\\frac{1}{6} - 3\\frac{3}{7} \\cdot 3\\frac{4}{7}) \\cdot 3\\frac{4}{8}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.76, bodu=122, $$4\frac{3}{7} \cdot (8 + 4\frac{4}{8} - (21 - (-4)) - (-17))=\textcolor{white}{19\frac{13}{14}}$$return { ["body"] = 122, ["id"] = "nJG3kf_1215_0105", ["obtiznost"] = 1.16, ["reseni"] = { ["float"] = 19.928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 279, ["jmenovatel"] = 14 }, ["render"] = "\\frac{279}{14}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{13}{14}", ["x"] = 19, ["y"] = 13, ["z"] = 14 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.76", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "21 - (-4)", ["typ"] = "minus" }, ["render"] = "(21 - (-4))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{4}{8} - (21 - (-4))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} - (21 - (-4)) - (-17)", ["typ"] = "minus" }, ["render"] = "8 + 4\\frac{4}{8} - (21 - (-4)) - (-17)", ["typ"] = "plus" }, ["render"] = "(8 + 4\\frac{4}{8} - (21 - (-4)) - (-17))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{7} \\cdot (8 + 4\\frac{4}{8} - (21 - (-4)) - (-17))", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.77, bodu=123, $$4\frac{1}{7} \cdot 3\frac{1}{4} - \frac{-5 \cdot 4}{13}=\textcolor{white}{15\frac{1}{364}}$$return { ["body"] = 123, ["id"] = "AktWaL_1215_0105", ["obtiznost"] = 1.17, ["reseni"] = { ["float"] = 15.002747252747, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5461, ["jmenovatel"] = 364 }, ["render"] = "\\frac{5461}{364}", ["typ"] = "cislo" }, ["tex"] = "15\\frac{1}{364}", ["x"] = 15, ["y"] = 1, ["z"] = 364 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{7} \\cdot 3\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-5 \\cdot 4}{13}", ["typ"] = "lomeno" }, ["render"] = "4\\frac{1}{7} \\cdot 3\\frac{1}{4} - \\frac{-5 \\cdot 4}{13}", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.78, bodu=97, $$-10 - (-19 \cdot (15 \cdot 1\frac{3}{9} - 16))=\textcolor{white}{66}$$return { ["body"] = 97, ["id"] = "HBFjnV_1215_0105", ["obtiznost"] = 0.98, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 66, ["jmenovatel"] = 1 }, ["render"] = "\\frac{66}{1}", ["typ"] = "cislo" }, ["tex"] = "66", ["tex_float"] = "66", ["x"] = 66 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.78", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 1\\frac{3}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 1\\frac{3}{9} - 16", ["typ"] = "minus" }, ["render"] = "(15 \\cdot 1\\frac{3}{9} - 16)", ["typ"] = "zavorka" }, ["render"] = "-19 \\cdot (15 \\cdot 1\\frac{3}{9} - 16)", ["typ"] = "krat" }, ["render"] = "-10 - (-19 \\cdot (15 \\cdot 1\\frac{3}{9} - 16))", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.79, bodu=190, $$\frac{14 \cdot 3\frac{2}{7}}{\frac{2\frac{2}{9}}{1\frac{2}{6}} - 1\frac{3}{7}}=\textcolor{white}{193{,}2}$$return { ["body"] = 190, ["id"] = "UexFfU_1215_0105", ["obtiznost"] = 1.59, ["reseni"] = { ["float"] = 193.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = 966, ["jmenovatel"] = 5 }, ["render"] = "\\frac{966}{5}", ["typ"] = "cislo" }, ["tex"] = "193\\frac{1}{5}", ["tex_float"] = "193{,}2", ["x"] = 193, ["y"] = 1, ["z"] = 5 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "14 \\cdot 3\\frac{2}{7}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{9}}{1\\frac{2}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{9}}{1\\frac{2}{6}} - 1\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "\\frac{14 \\cdot 3\\frac{2}{7}}{\\frac{2\\frac{2}{9}}{1\\frac{2}{6}} - 1\\frac{3}{7}}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.8, bodu=128, $$1\frac{1}{4} \cdot -14 + \frac{7 + 9}{8 \cdot 3\frac{2}{8}}=\textcolor{white}{-16\frac{23}{26}}$$return { ["body"] = 128, ["id"] = "SKtLXN_1215_0105", ["obtiznost"] = 1.2, ["reseni"] = { ["float"] = -16.884615384615, ["objekt"] = { ["hodnota"] = { ["citatel"] = -439, ["jmenovatel"] = 26 }, ["render"] = "\\frac{-439}{26}", ["typ"] = "cislo" }, ["tex"] = "-16\\frac{23}{26}", ["x"] = -16, ["y"] = 23, ["z"] = 26 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 + 9", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 3\\frac{2}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{7 + 9}{8 \\cdot 3\\frac{2}{8}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{4} \\cdot -14 + \\frac{7 + 9}{8 \\cdot 3\\frac{2}{8}}", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.81, bodu=101, $$\frac{-5}{\frac{-11 \cdot 3\frac{3}{12} \cdot 19}{-7}}=\textcolor{white}{-\frac{140}{2717}}$$return { ["body"] = 101, ["id"] = "T54Pvw_1215_0105", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = -0.051527419948473, ["objekt"] = { ["hodnota"] = { ["citatel"] = -140, ["jmenovatel"] = 2717 }, ["render"] = "\\frac{-140}{2717}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{140}{2717}", ["y"] = -140, ["z"] = 2717 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.81", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 3\\frac{3}{12}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 3\\frac{3}{12} \\cdot 19", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 \\cdot 3\\frac{3}{12} \\cdot 19}{-7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-5}{\\frac{-11 \\cdot 3\\frac{3}{12} \\cdot 19}{-7}}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.82, bodu=131, $$\frac{1\frac{1}{9} \cdot -8 \cdot 5 \cdot -13}{-21 + 4\frac{2}{7}}=\textcolor{white}{-34\frac{46}{81}}$$return { ["body"] = 131, ["id"] = "MBZQcd_1215_0105", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = -34.567901234568, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2800, ["jmenovatel"] = 81 }, ["render"] = "\\frac{36400}{-1053}", ["typ"] = "cislo" }, ["tex"] = "-34\\frac{46}{81}", ["x"] = -34, ["y"] = 46, ["z"] = 81 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "5 \\cdot -13", ["typ"] = "krat" }, ["render"] = "1\\frac{1}{9} \\cdot -8 \\cdot 5 \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "-21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "-21 + 4\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{1}{9} \\cdot -8 \\cdot 5 \\cdot -13}{-21 + 4\\frac{2}{7}}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.83, bodu=132, $$(20 + \frac{13 \cdot (3\frac{4}{12} + 14)}{3}) \cdot 3\frac{2}{9}=\textcolor{white}{306\frac{38}{81}}$$return { ["body"] = 132, ["id"] = "Q9U1Fs_1215_0105", ["obtiznost"] = 1.23, ["reseni"] = { ["float"] = 306.46913580247, ["objekt"] = { ["hodnota"] = { ["citatel"] = 24824, ["jmenovatel"] = 81 }, ["render"] = "\\frac{24824}{81}", ["typ"] = "cislo" }, ["tex"] = "306\\frac{38}{81}", ["x"] = 306, ["y"] = 38, ["z"] = 81 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.83", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{12} + 14", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{12} + 14)", ["typ"] = "zavorka" }, ["render"] = "13 \\cdot (3\\frac{4}{12} + 14)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{13 \\cdot (3\\frac{4}{12} + 14)}{3}", ["typ"] = "lomeno" }, ["render"] = "20 + \\frac{13 \\cdot (3\\frac{4}{12} + 14)}{3}", ["typ"] = "plus" }, ["render"] = "(20 + \\frac{13 \\cdot (3\\frac{4}{12} + 14)}{3})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "(20 + \\frac{13 \\cdot (3\\frac{4}{12} + 14)}{3}) \\cdot 3\\frac{2}{9}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.84, bodu=231, $$(\frac{3\frac{2}{3} \cdot 1\frac{1}{7}}{22})^2 \cdot 3\frac{1}{6} \cdot 1\frac{5}{12}=\textcolor{white}{\frac{646}{3969}}$$return { ["body"] = 231, ["id"] = "Mv5xgV_1215_0105", ["obtiznost"] = 1.8228, ["reseni"] = { ["float"] = 0.16276140085664, ["objekt"] = { ["hodnota"] = { ["citatel"] = 646, ["jmenovatel"] = 3969 }, ["render"] = "\\frac{5168}{31752}", ["typ"] = "cislo" }, ["tex"] = "\\frac{646}{3969}", ["y"] = 646, ["z"] = 3969 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.84", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{3} \\cdot 1\\frac{1}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{3} \\cdot 1\\frac{1}{7}}{22}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{3\\frac{2}{3} \\cdot 1\\frac{1}{7}}{22})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} \\cdot 1\\frac{5}{12}", ["typ"] = "krat" }, ["render"] = "(\\frac{3\\frac{2}{3} \\cdot 1\\frac{1}{7}}{22})^2 \\cdot 3\\frac{1}{6} \\cdot 1\\frac{5}{12}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.85, bodu=80, $$12 \cdot \frac{4 \cdot 14}{\frac{-13}{12}}=\textcolor{white}{-620\frac{4}{13}}$$return { ["body"] = 80, ["id"] = "MnXs3f_1215_0105", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = -620.30769230769, ["objekt"] = { ["hodnota"] = { ["citatel"] = -8064, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-8064}{13}", ["typ"] = "cislo" }, ["tex"] = "-620\\frac{4}{13}", ["x"] = -620, ["y"] = 4, ["z"] = 13 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.85", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{12}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4 \\cdot 14}{\\frac{-13}{12}}", ["typ"] = "lomeno" }, ["render"] = "12 \\cdot \\frac{4 \\cdot 14}{\\frac{-13}{12}}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.86, bodu=202, $$(1\frac{1}{9} + 1\frac{3}{6} - (-14 \cdot 9 \cdot 1\frac{3}{8})) \cdot 4\frac{1}{4}=\textcolor{white}{747\frac{59}{144}}$$return { ["body"] = 202, ["id"] = "dppNpm_1215_0105", ["obtiznost"] = 1.66, ["reseni"] = { ["float"] = 747.40972222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 107627, ["jmenovatel"] = 144 }, ["render"] = "\\frac{107627}{144}", ["typ"] = "cislo" }, ["tex"] = "747\\frac{59}{144}", ["x"] = 747, ["y"] = 59, ["z"] = 144 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.86", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} + 1\\frac{3}{6}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot 9 \\cdot 1\\frac{3}{8}", ["typ"] = "krat" }, ["render"] = "1\\frac{1}{9} + 1\\frac{3}{6} - (-14 \\cdot 9 \\cdot 1\\frac{3}{8})", ["typ"] = "minus" }, ["render"] = "(1\\frac{1}{9} + 1\\frac{3}{6} - (-14 \\cdot 9 \\cdot 1\\frac{3}{8}))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "(1\\frac{1}{9} + 1\\frac{3}{6} - (-14 \\cdot 9 \\cdot 1\\frac{3}{8})) \\cdot 4\\frac{1}{4}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.87, bodu=109, $$-19 \cdot (\frac{1\frac{3}{11} - (-10)}{-14} - (17 - (-7)))=\textcolor{white}{471\frac{23}{77}}$$return { ["body"] = 109, ["id"] = "VJkzMw_1215_0105", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = 471.2987012987, ["objekt"] = { ["hodnota"] = { ["citatel"] = 36290, ["jmenovatel"] = 77 }, ["render"] = "\\frac{36290}{77}", ["typ"] = "cislo" }, ["tex"] = "471\\frac{23}{77}", ["x"] = 471, ["y"] = 23, ["z"] = 77 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.87", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{11} - (-10)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{11} - (-10)}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "17 - (-7)", ["typ"] = "minus" }, ["render"] = "(17 - (-7))", ["typ"] = "zavorka" }, ["render"] = "\\frac{1\\frac{3}{11} - (-10)}{-14} - (17 - (-7))", ["typ"] = "minus" }, ["render"] = "(\\frac{1\\frac{3}{11} - (-10)}{-14} - (17 - (-7)))", ["typ"] = "zavorka" }, ["render"] = "-19 \\cdot (\\frac{1\\frac{3}{11} - (-10)}{-14} - (17 - (-7)))", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.88, bodu=172, $$\frac{1\frac{3}{8} - 19}{-12 \cdot 4\frac{1}{5}} \cdot (-17 - 4\frac{2}{11})=\textcolor{white}{-7\frac{3011}{7392}}$$return { ["body"] = 172, ["id"] = "hCfC1H_1215_0105", ["obtiznost"] = 1.48, ["reseni"] = { ["float"] = -7.4073322510823, ["objekt"] = { ["hodnota"] = { ["citatel"] = -54755, ["jmenovatel"] = 7392 }, ["render"] = "\\frac{-54755}{7392}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{3011}{7392}", ["x"] = -7, ["y"] = 3011, ["z"] = 7392 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{8} - 19", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 4\\frac{1}{5}", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{3}{8} - 19}{-12 \\cdot 4\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "-17 - 4\\frac{2}{11}", ["typ"] = "minus" }, ["render"] = "(-17 - 4\\frac{2}{11})", ["typ"] = "zavorka" }, ["render"] = "\\frac{1\\frac{3}{8} - 19}{-12 \\cdot 4\\frac{1}{5}} \\cdot (-17 - 4\\frac{2}{11})", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.89, bodu=141, $$\frac{5 + (-14)}{3\frac{4}{13} - (-20)} + \frac{-11 + 2\frac{1}{3}}{-16}=\textcolor{white}{\frac{377}{2424}}$$return { ["body"] = 141, ["id"] = "Bnj064_1215_0105", ["obtiznost"] = 1.29, ["reseni"] = { ["float"] = 0.15552805280528, ["objekt"] = { ["hodnota"] = { ["citatel"] = 377, ["jmenovatel"] = 2424 }, ["render"] = "\\frac{377}{2424}", ["typ"] = "cislo" }, ["tex"] = "\\frac{377}{2424}", ["y"] = 377, ["z"] = 2424 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "5 + (-14)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{13} - (-20)", ["typ"] = "minus" }, ["render"] = "\\frac{5 + (-14)}{3\\frac{4}{13} - (-20)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "-11 + 2\\frac{1}{3}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 + 2\\frac{1}{3}}{-16}", ["typ"] = "lomeno" }, ["render"] = "\\frac{5 + (-14)}{3\\frac{4}{13} - (-20)} + \\frac{-11 + 2\\frac{1}{3}}{-16}", ["typ"] = "plus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.9, bodu=209, $$\frac{1\frac{1}{11}}{\frac{-9 - 4\frac{3}{11}}{2\frac{2}{7}}} - (4\frac{2}{8} + 6)=\textcolor{white}{-10\frac{895}{2044}}$$return { ["body"] = 209, ["id"] = "wTTolj_1215_0105", ["obtiznost"] = 1.7, ["reseni"] = { ["float"] = -10.437866927593, ["objekt"] = { ["hodnota"] = { ["citatel"] = -21335, ["jmenovatel"] = 2044 }, ["render"] = "\\frac{-21335}{2044}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{895}{2044}", ["x"] = -10, ["y"] = 895, ["z"] = 2044 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "-9 - 4\\frac{3}{11}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9 - 4\\frac{3}{11}}{2\\frac{2}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{1}{11}}{\\frac{-9 - 4\\frac{3}{11}}{2\\frac{2}{7}}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} + 6", ["typ"] = "plus" }, ["render"] = "(4\\frac{2}{8} + 6)", ["typ"] = "zavorka" }, ["render"] = "\\frac{1\\frac{1}{11}}{\\frac{-9 - 4\\frac{3}{11}}{2\\frac{2}{7}}} - (4\\frac{2}{8} + 6)", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.91, bodu=106, $$\frac{\frac{9}{-15}}{(\frac{-19 + (-17)}{-13 - 17})^3}=\textcolor{white}{-\frac{25}{72}}$$return { ["body"] = 106, ["id"] = "Jsoe68_1215_0105", ["obtiznost"] = 1.0464, ["reseni"] = { ["float"] = -0.34722222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = -25, ["jmenovatel"] = 72 }, ["render"] = "\\frac{-375}{1080}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{25}{72}", ["y"] = -25, ["z"] = 72 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.91", ["zadani"] = { ["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"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-19 + (-17)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "-13 - 17", ["typ"] = "minus" }, ["render"] = "\\frac{-19 + (-17)}{-13 - 17}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-19 + (-17)}{-13 - 17})^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{\\frac{9}{-15}}{(\\frac{-19 + (-17)}{-13 - 17})^3}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.92, bodu=178, $$\frac{\frac{\frac{-14}{4\frac{5}{14}}}{3\frac{5}{8}}}{5 + (-23 + 2\frac{2}{9})}=\textcolor{white}{\frac{7056}{125599}}$$return { ["body"] = 178, ["id"] = "oeYjIt_1215_0105", ["obtiznost"] = 1.52, ["reseni"] = { ["float"] = 0.056178791232414, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7056, ["jmenovatel"] = 125599 }, ["render"] = "\\frac{-14112}{-251198}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7056}{125599}", ["y"] = 7056, ["z"] = 125599 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 61, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{4\\frac{5}{14}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-14}{4\\frac{5}{14}}}{3\\frac{5}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -23, ["jmenovatel"] = 1 }, ["render"] = "-23", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "-23 + 2\\frac{2}{9}", ["typ"] = "plus" }, ["render"] = "5 + (-23 + 2\\frac{2}{9})", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{\\frac{-14}{4\\frac{5}{14}}}{3\\frac{5}{8}}}{5 + (-23 + 2\\frac{2}{9})}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.93, bodu=214, $$(14 - 1\frac{3}{7}) \cdot 3\frac{2}{9} - (-15) - \frac{2\frac{3}{8}}{2\frac{4}{9}}=\textcolor{white}{54\frac{5947}{11088}}$$return { ["body"] = 214, ["id"] = "88Zi5B_1215_0105", ["obtiznost"] = 1.73, ["reseni"] = { ["float"] = 54.536345598846, ["objekt"] = { ["hodnota"] = { ["citatel"] = 604699, ["jmenovatel"] = 11088 }, ["render"] = "\\frac{604699}{11088}", ["typ"] = "cislo" }, ["tex"] = "54\\frac{5947}{11088}", ["x"] = 54, ["y"] = 5947, ["z"] = 11088 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "14 - 1\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "(14 - 1\\frac{3}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "(14 - 1\\frac{3}{7}) \\cdot 3\\frac{2}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "(14 - 1\\frac{3}{7}) \\cdot 3\\frac{2}{9} - (-15)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{3}{8}}{2\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "(14 - 1\\frac{3}{7}) \\cdot 3\\frac{2}{9} - (-15) - \\frac{2\\frac{3}{8}}{2\\frac{4}{9}}", ["typ"] = "minus" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.94, bodu=253, $$4\frac{2}{9} \cdot \frac{\frac{3\frac{2}{7}}{2\frac{3}{9} + 3\frac{5}{10}}}{2\frac{3}{13}} \cdot -6=\textcolor{white}{-6\frac{2818}{7105}}$$return { ["body"] = 253, ["id"] = "K8RuzK_1215_0105", ["obtiznost"] = 1.94, ["reseni"] = { ["float"] = -6.3966220971147, ["objekt"] = { ["hodnota"] = { ["citatel"] = -45448, ["jmenovatel"] = 7105 }, ["render"] = "\\frac{-409032}{63945}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{2818}{7105}", ["x"] = -6, ["y"] = 2818, ["z"] = 7105 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.94", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{2}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} + 3\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{3\\frac{2}{7}}{2\\frac{3}{9} + 3\\frac{5}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{2}{7}}{2\\frac{3}{9} + 3\\frac{5}{10}}}{2\\frac{3}{13}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{2}{7}}{2\\frac{3}{9} + 3\\frac{5}{10}}}{2\\frac{3}{13}} \\cdot -6", ["typ"] = "krat" }, ["render"] = "4\\frac{2}{9} \\cdot \\frac{\\frac{3\\frac{2}{7}}{2\\frac{3}{9} + 3\\frac{5}{10}}}{2\\frac{3}{13}} \\cdot -6", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.95, bodu=151, $$\frac{\frac{2}{4\frac{1}{9}} - (2\frac{3}{9} + 18)}{23 + (-16 \cdot 22)}=\textcolor{white}{\frac{2203}{36519}}$$return { ["body"] = 151, ["id"] = "oEMJsv_1215_0105", ["obtiznost"] = 1.35, ["reseni"] = { ["float"] = 0.060324762452422, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2203, ["jmenovatel"] = 36519 }, ["render"] = "\\frac{-2203}{-36519}", ["typ"] = "cislo" }, ["tex"] = "\\frac{2203}{36519}", ["y"] = 2203, ["z"] = 36519 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2}{4\\frac{1}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} + 18", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{9} + 18)", ["typ"] = "zavorka" }, ["render"] = "\\frac{2}{4\\frac{1}{9}} - (2\\frac{3}{9} + 18)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "23", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot 22", ["typ"] = "krat" }, ["render"] = "23 + (-16 \\cdot 22)", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{2}{4\\frac{1}{9}} - (2\\frac{3}{9} + 18)}{23 + (-16 \\cdot 22)}", ["typ"] = "lomeno" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.96, bodu=185, $$3\frac{2}{12} \cdot 3\frac{4}{9} \cdot -16 \cdot \frac{1\frac{4}{15}}{11}=\textcolor{white}{-20\frac{428}{4455}}$$return { ["body"] = 185, ["id"] = "60058a_1215_0105", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = -20.096071829405, ["objekt"] = { ["hodnota"] = { ["citatel"] = -89528, ["jmenovatel"] = 4455 }, ["render"] = "\\frac{-179056}{8910}", ["typ"] = "cislo" }, ["tex"] = "-20\\frac{428}{4455}", ["x"] = -20, ["y"] = 428, ["z"] = 4455 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.96", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{2}{12}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 15 }, ["render"] = "1\\frac{4}{15}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{15}}{11}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{4}{9} \\cdot -16 \\cdot \\frac{1\\frac{4}{15}}{11}", ["typ"] = "krat" }, ["render"] = "3\\frac{2}{12} \\cdot 3\\frac{4}{9} \\cdot -16 \\cdot \\frac{1\\frac{4}{15}}{11}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.97, bodu=154, $$\frac{2\frac{1}{10}}{11} \cdot \frac{\frac{10}{15}}{3\frac{5}{12}}=\textcolor{white}{\frac{84}{2255}}$$return { ["body"] = 154, ["id"] = "gIQsGP_1215_0105", ["obtiznost"] = 1.37, ["reseni"] = { ["float"] = 0.037250554323725, ["objekt"] = { ["hodnota"] = { ["citatel"] = 84, ["jmenovatel"] = 2255 }, ["render"] = "\\frac{168}{4510}", ["typ"] = "cislo" }, ["tex"] = "\\frac{84}{2255}", ["y"] = 84, ["z"] = 2255 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{1}{10}}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{10}{15}}{3\\frac{5}{12}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{1}{10}}{11} \\cdot \\frac{\\frac{10}{15}}{3\\frac{5}{12}}", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.98, bodu=125, $$-5 \cdot (-3 - (-14) + \frac{12}{\frac{1\frac{1}{8}}{-16}})=\textcolor{white}{798\frac{1}{3}}$$return { ["body"] = 125, ["id"] = "Edxffk_1215_0105", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = 798.33333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2395, ["jmenovatel"] = 3 }, ["render"] = "\\frac{2395}{3}", ["typ"] = "cislo" }, ["tex"] = "798\\frac{1}{3}", ["x"] = 798, ["y"] = 1, ["z"] = 3 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.98", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-3 - (-14)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{8}}{-16}", ["typ"] = "lomeno" }, ["render"] = "\\frac{12}{\\frac{1\\frac{1}{8}}{-16}}", ["typ"] = "lomeno" }, ["render"] = "-3 - (-14) + \\frac{12}{\\frac{1\\frac{1}{8}}{-16}}", ["typ"] = "plus" }, ["render"] = "(-3 - (-14) + \\frac{12}{\\frac{1\\frac{1}{8}}{-16}})", ["typ"] = "zavorka" }, ["render"] = "-5 \\cdot (-3 - (-14) + \\frac{12}{\\frac{1\\frac{1}{8}}{-16}})", ["typ"] = "krat" } }

seed: uXVZsg4fsyD1yMU5LXQ7_0.99, bodu=157, $$\frac{\frac{2\frac{4}{10}}{-13}}{-10 \cdot 1\frac{5}{6}} - (-12 - 15)=\textcolor{white}{27\frac{36}{3575}}$$return { ["body"] = 157, ["id"] = "X1GraB_1215_0105", ["obtiznost"] = 1.39, ["reseni"] = { ["float"] = 27.01006993007, ["objekt"] = { ["hodnota"] = { ["citatel"] = 96561, ["jmenovatel"] = 3575 }, ["render"] = "\\frac{96561}{3575}", ["typ"] = "cislo" }, ["tex"] = "27\\frac{36}{3575}", ["x"] = 27, ["y"] = 36, ["z"] = 3575 }, ["seed"] = "uXVZsg4fsyD1yMU5LXQ7_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{10}}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{5}{6}", ["typ"] = "cislo" }, ["render"] = "-10 \\cdot 1\\frac{5}{6}", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{2\\frac{4}{10}}{-13}}{-10 \\cdot 1\\frac{5}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-12 - 15", ["typ"] = "minus" }, ["render"] = "(-12 - 15)", ["typ"] = "zavorka" }, ["render"] = "\\frac{\\frac{2\\frac{4}{10}}{-13}}{-10 \\cdot 1\\frac{5}{6}} - (-12 - 15)", ["typ"] = "minus" } }

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