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Nahodny test, priklady s rostouci obtiznosti...

seed: oge3V8Um2wdYPufKSw6Y_0, bodu=5, $$3 \cdot 4 \cdot 8=\textcolor{white}{96}$$return { ["body"] = 5, ["id"] = "EXaPMh_0209_1312", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 96, ["jmenovatel"] = 1 }, ["render"] = "\\frac{96}{1}", ["typ"] = "cislo" }, ["tex"] = "96", ["x"] = 96 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 4 \\cdot 8", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.01, bodu=5, $$(10 - 6) \cdot 9 \cdot 7=\textcolor{white}{252}$$return { ["body"] = 5, ["id"] = "RgIaJs_0209_1312", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 252, ["jmenovatel"] = 1 }, ["render"] = "\\frac{252}{1}", ["typ"] = "cislo" }, ["tex"] = "252", ["x"] = 252 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.01", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "10 - 6", ["typ"] = "minus" }, ["render"] = "(10 - 6)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(10 - 6) \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(10 - 6) \\cdot 9 \\cdot 7", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.02, bodu=5, $$(10 + 4 + (-6) + 8) \cdot 7=\textcolor{white}{112}$$return { ["body"] = 5, ["id"] = "Jm1AhQ_0209_1312", ["obtiznost"] = 0.02, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 112, ["jmenovatel"] = 1 }, ["render"] = "\\frac{112}{1}", ["typ"] = "cislo" }, ["tex"] = "112", ["tex_float"] = "112", ["x"] = 112 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.02", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "10 + 4", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "10 + 4 + (-6)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "10 + 4 + (-6) + 8", ["typ"] = "plus" }, ["render"] = "(10 + 4 + (-6) + 8)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(10 + 4 + (-6) + 8) \\cdot 7", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.03, bodu=6, $$((9 - 11)^3 + 9 - 7)^3=\textcolor{white}{-216}$$return { ["body"] = 6, ["id"] = "wp6XmC_0209_1312", ["obtiznost"] = 0.1204, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -216, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-216}{1}", ["typ"] = "cislo" }, ["tex"] = "-216", ["x"] = -216 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.03", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(9 - 11)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(9 - 11)^3 + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(9 - 11)^3 + 9 - 7", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "((9 - 11)^3 + 9 - 7)^3", ["typ"] = "mocnina" } }

seed: oge3V8Um2wdYPufKSw6Y_0.04, bodu=11, $$(\frac{\frac{3}{2}}{6})^3=\textcolor{white}{\frac{1}{64}}$$return { ["body"] = 11, ["id"] = "UxkP25_0209_1312", ["obtiznost"] = 0.066, ["reseni"] = { ["float"] = 0.015625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 64 }, ["render"] = "\\frac{1}{64}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{64}", ["y"] = 1, ["z"] = 64 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.04", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{3}{2}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3}{2}}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{\\frac{3}{2}}{6})^3", ["typ"] = "mocnina" } }

seed: oge3V8Um2wdYPufKSw6Y_0.05, bodu=5, $$-6 \cdot 9 \cdot 6=\textcolor{white}{-324}$$return { ["body"] = 5, ["id"] = "BdL8J7_0209_1312", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -324, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-324}{1}", ["typ"] = "cislo" }, ["tex"] = "-324", ["x"] = -324 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["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"] = "-6 \\cdot 9 \\cdot 6", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.06, bodu=11, $$\frac{\frac{7 - 5}{9}}{8}=\textcolor{white}{\frac{1}{36}}$$return { ["body"] = 11, ["id"] = "U1FWum_0209_1312", ["obtiznost"] = 0.06, ["reseni"] = { ["float"] = 0.027777777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 36 }, ["render"] = "\\frac{2}{72}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{36}", ["y"] = 1, ["z"] = 36 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.06", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "7 - 5", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{7 - 5}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{7 - 5}{9}}{8}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.07, bodu=5, $$4 - 7 \cdot 8 - (-9)=\textcolor{white}{-43}$$return { ["body"] = 5, ["id"] = "Kutp3I_0209_1312", ["obtiznost"] = 0.07, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -43, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-43}{1}", ["typ"] = "cislo" }, ["tex"] = "-43", ["x"] = -43 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.07", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 8", ["typ"] = "krat" }, ["render"] = "4 - 7 \\cdot 8", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "4 - 7 \\cdot 8 - (-9)", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.08, bodu=12, $$\frac{10}{5 - (2 - (-8))}=\textcolor{white}{-2}$$return { ["body"] = 12, ["id"] = "DujYRC_0209_1312", ["obtiznost"] = 0.08, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "\\frac{10}{-5}", ["typ"] = "cislo" }, ["tex"] = "-2", ["tex_float"] = "-2", ["x"] = -2 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "2 - (-8)", ["typ"] = "minus" }, ["render"] = "(2 - (-8))", ["typ"] = "zavorka" }, ["render"] = "5 - (2 - (-8))", ["typ"] = "minus" }, ["render"] = "\\frac{10}{5 - (2 - (-8))}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.09, bodu=12, $$\frac{-7}{4 - 7 \cdot 9}=\textcolor{white}{\frac{7}{59}}$$return { ["body"] = 12, ["id"] = "OQ7dXa_0209_1312", ["obtiznost"] = 0.09, ["reseni"] = { ["float"] = 0.11864406779661, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 59 }, ["render"] = "\\frac{-7}{-59}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{59}", ["y"] = 7, ["z"] = 59 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.09", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 9", ["typ"] = "krat" }, ["render"] = "4 - 7 \\cdot 9", ["typ"] = "minus" }, ["render"] = "\\frac{-7}{4 - 7 \\cdot 9}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.1, bodu=12, $$\frac{-7}{4} \cdot 10=\textcolor{white}{-17{,}5}$$return { ["body"] = 12, ["id"] = "q2Fk4L_0209_1312", ["obtiznost"] = 0.1, ["reseni"] = { ["float"] = -17.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = -35, ["jmenovatel"] = 2 }, ["render"] = "\\frac{-70}{4}", ["typ"] = "cislo" }, ["tex"] = "-17\\frac{1}{2}", ["tex_float"] = "-17{,}5", ["x"] = -17, ["y"] = 1, ["z"] = 2 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{4}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-7}{4} \\cdot 10", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.11, bodu=7, $$(7 + (-6 + (-6)))^3 - 10 - 9=\textcolor{white}{-144}$$return { ["body"] = 7, ["id"] = "QbaAcu_0209_1312", ["obtiznost"] = 0.1604, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -144, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-144}{1}", ["typ"] = "cislo" }, ["tex"] = "-144", ["tex_float"] = "-144", ["x"] = -144 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.11", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-6 + (-6)", ["typ"] = "plus" }, ["render"] = "7 + (-6 + (-6))", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(7 + (-6 + (-6)))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(7 + (-6 + (-6)))^3 - 10", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(7 + (-6 + (-6)))^3 - 10 - 9", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.12, bodu=33, $$\frac{8}{(8 + (-6 + 7))^3}=\textcolor{white}{\frac{8}{729}}$$return { ["body"] = 33, ["id"] = "TOCC3B_0209_1312", ["obtiznost"] = 0.412, ["reseni"] = { ["float"] = 0.010973936899863, ["objekt"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 729 }, ["render"] = "\\frac{8}{729}", ["typ"] = "cislo" }, ["tex"] = "\\frac{8}{729}", ["y"] = 8, ["z"] = 729 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.12", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["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"] = "8 + (-6 + 7)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(8 + (-6 + 7))^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{8}{(8 + (-6 + 7))^3}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.13, bodu=7, $$7 - (-9 - 7) \cdot 6=\textcolor{white}{103}$$return { ["body"] = 7, ["id"] = "c6mHGD_0209_1312", ["obtiznost"] = 0.13, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 103, ["jmenovatel"] = 1 }, ["render"] = "\\frac{103}{1}", ["typ"] = "cislo" }, ["tex"] = "103", ["x"] = 103 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-9 - 7", ["typ"] = "minus" }, ["render"] = "(-9 - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(-9 - 7) \\cdot 6", ["typ"] = "krat" }, ["render"] = "7 - (-9 - 7) \\cdot 6", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.14, bodu=14, $$7 \cdot \frac{5}{5}=\textcolor{white}{7}$$return { ["body"] = 14, ["id"] = "eJuKme_0209_1312", ["obtiznost"] = 0.14, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "\\frac{7}{1}", ["typ"] = "cislo" }, ["tex"] = "7", ["tex_float"] = "7", ["x"] = 7 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{5}", ["typ"] = "lomeno" }, ["render"] = "7 \\cdot \\frac{5}{5}", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.15, bodu=23, $$\frac{5}{-7} + (11 + 7)^2=\textcolor{white}{323\frac{2}{7}}$$return { ["body"] = 23, ["id"] = "LxKYiJ_0209_1312", ["obtiznost"] = 0.28, ["reseni"] = { ["float"] = 323.28571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2263, ["jmenovatel"] = 7 }, ["render"] = "\\frac{2263}{7}", ["typ"] = "cislo" }, ["tex"] = "323\\frac{2}{7}", ["x"] = 323, ["y"] = 2, ["z"] = 7 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(11 + 7)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{5}{-7} + (11 + 7)^2", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.16, bodu=7, $$11 + 5 + 11 + 6 - 5=\textcolor{white}{28}$$return { ["body"] = 7, ["id"] = "MNbeY9_0209_1312", ["obtiznost"] = 0.16, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 1 }, ["render"] = "\\frac{28}{1}", ["typ"] = "cislo" }, ["tex"] = "28", ["tex_float"] = "28", ["x"] = 28 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.16", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "5 + 11", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "6 - 5", ["typ"] = "minus" }, ["render"] = "5 + 11 + 6 - 5", ["typ"] = "plus" }, ["render"] = "11 + 5 + 11 + 6 - 5", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.17, bodu=16, $$8 - 10 - \frac{9}{5}=\textcolor{white}{-3{,}8}$$return { ["body"] = 16, ["id"] = "PnLjaV_0209_1312", ["obtiznost"] = 0.17, ["reseni"] = { ["float"] = -3.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-19}{5}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{4}{5}", ["tex_float"] = "-3{,}8", ["x"] = -3, ["y"] = 4, ["z"] = 5 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.17", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 - 10", ["typ"] = "minus" }, ["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"] = "8 - 10 - \\frac{9}{5}", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.18, bodu=8, $$10 \cdot -11 \cdot 8=\textcolor{white}{-880}$$return { ["body"] = 8, ["id"] = "JVnl4X_0209_1312", ["obtiznost"] = 0.18, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -880, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-880}{1}", ["typ"] = "cislo" }, ["tex"] = "-880", ["tex_float"] = "-880", ["x"] = -880 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.18", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "10 \\cdot -11 \\cdot 8", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.19, bodu=17, $$\frac{\frac{9}{-7}}{-6}=\textcolor{white}{\frac{3}{14}}$$return { ["body"] = 17, ["id"] = "J2Th3M_0209_1312", ["obtiznost"] = 0.19, ["reseni"] = { ["float"] = 0.21428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-9}{-42}", ["typ"] = "cislo" }, ["tex"] = "\\frac{3}{14}", ["y"] = 3, ["z"] = 14 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.19", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{9}{-7}}{-6}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.2, bodu=9, $$3 - (10 - 7 \cdot 7)=\textcolor{white}{42}$$return { ["body"] = 9, ["id"] = "pZQ2Fh_0209_1312", ["obtiznost"] = 0.2, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 1 }, ["render"] = "\\frac{42}{1}", ["typ"] = "cislo" }, ["tex"] = "42", ["x"] = 42 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.2", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 7", ["typ"] = "krat" }, ["render"] = "10 - 7 \\cdot 7", ["typ"] = "minus" }, ["render"] = "(10 - 7 \\cdot 7)", ["typ"] = "zavorka" }, ["render"] = "3 - (10 - 7 \\cdot 7)", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.21, bodu=9, $$5 \cdot (-8 - (-14)) + 13 + 6=\textcolor{white}{49}$$return { ["body"] = 9, ["id"] = "pUL3GG_0209_1312", ["obtiznost"] = 0.21, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 1 }, ["render"] = "\\frac{49}{1}", ["typ"] = "cislo" }, ["tex"] = "49", ["tex_float"] = "49", ["x"] = 49 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["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"] = "minus" }, ["render"] = "(-8 - (-14))", ["typ"] = "zavorka" }, ["render"] = "5 \\cdot (-8 - (-14))", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "13 + 6", ["typ"] = "plus" }, ["render"] = "5 \\cdot (-8 - (-14)) + 13 + 6", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.22, bodu=34, $$-3 + \frac{4}{-12 + 10 + 4\frac{5}{7}}=\textcolor{white}{-1\frac{10}{19}}$$return { ["body"] = 34, ["id"] = "xDHhoM_0209_1312", ["obtiznost"] = 0.42, ["reseni"] = { ["float"] = -1.5263157894737, ["objekt"] = { ["hodnota"] = { ["citatel"] = -29, ["jmenovatel"] = 19 }, ["render"] = "\\frac{-29}{19}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{10}{19}", ["x"] = -1, ["y"] = 10, ["z"] = 19 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.22", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-12 + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "-12 + 10 + 4\\frac{5}{7}", ["typ"] = "plus" }, ["render"] = "\\frac{4}{-12 + 10 + 4\\frac{5}{7}}", ["typ"] = "lomeno" }, ["render"] = "-3 + \\frac{4}{-12 + 10 + 4\\frac{5}{7}}", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.23, bodu=35, $$\frac{7}{\frac{-11}{4\frac{4}{7}} - (-8)}=\textcolor{white}{1\frac{45}{179}}$$return { ["body"] = 35, ["id"] = "F9VUsP_0209_1312", ["obtiznost"] = 0.43, ["reseni"] = { ["float"] = 1.2513966480447, ["objekt"] = { ["hodnota"] = { ["citatel"] = 224, ["jmenovatel"] = 179 }, ["render"] = "\\frac{224}{179}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{45}{179}", ["x"] = 1, ["y"] = 45, ["z"] = 179 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.23", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{4\\frac{4}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{4\\frac{4}{7}} - (-8)", ["typ"] = "minus" }, ["render"] = "\\frac{7}{\\frac{-11}{4\\frac{4}{7}} - (-8)}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.24, bodu=10, $$11 \cdot (6 \cdot 6 + 12)=\textcolor{white}{528}$$return { ["body"] = 10, ["id"] = "BuqlHK_0209_1312", ["obtiznost"] = 0.24, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 528, ["jmenovatel"] = 1 }, ["render"] = "\\frac{528}{1}", ["typ"] = "cislo" }, ["tex"] = "528", ["x"] = 528 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.24", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 6 + 12", ["typ"] = "plus" }, ["render"] = "(6 \\cdot 6 + 12)", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot (6 \\cdot 6 + 12)", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.25, bodu=10, $$8 \cdot 11 - (-8 - 8)=\textcolor{white}{104}$$return { ["body"] = 10, ["id"] = "Wfqrxb_0209_1312", ["obtiznost"] = 0.25, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 104, ["jmenovatel"] = 1 }, ["render"] = "\\frac{104}{1}", ["typ"] = "cislo" }, ["tex"] = "104", ["x"] = 104 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.25", ["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"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-8 - 8", ["typ"] = "minus" }, ["render"] = "(-8 - 8)", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot 11 - (-8 - 8)", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.26, bodu=21, $$\frac{14}{7 + (-10 - (-8) + (-6))}=\textcolor{white}{-14}$$return { ["body"] = 21, ["id"] = "nEjaC3_0209_1312", ["obtiznost"] = 0.26, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "\\frac{14}{-1}", ["typ"] = "cislo" }, ["tex"] = "-14", ["tex_float"] = "-14", ["x"] = -14 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["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"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-10 - (-8) + (-6)", ["typ"] = "plus" }, ["render"] = "7 + (-10 - (-8) + (-6))", ["typ"] = "plus" }, ["render"] = "\\frac{14}{7 + (-10 - (-8) + (-6))}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.27, bodu=38, $$(2\frac{4}{7} - 4) \cdot 12 \cdot 10=\textcolor{white}{-171\frac{3}{7}}$$return { ["body"] = 38, ["id"] = "SLLS7o_0209_1312", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = -171.42857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1200, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-1200}{7}", ["typ"] = "cislo" }, ["tex"] = "-171\\frac{3}{7}", ["x"] = -171, ["y"] = 3, ["z"] = 7 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.27", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{7} - 4", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{7} - 4)", ["typ"] = "zavorka" }, ["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"] = "(2\\frac{4}{7} - 4) \\cdot 12 \\cdot 10", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.28, bodu=11, $$5 - (9 - (-10)) \cdot 11=\textcolor{white}{-204}$$return { ["body"] = 11, ["id"] = "KfnQaJ_0209_1312", ["obtiznost"] = 0.28, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -204, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-204}{1}", ["typ"] = "cislo" }, ["tex"] = "-204", ["tex_float"] = "-204", ["x"] = -204 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.28", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "9 - (-10)", ["typ"] = "minus" }, ["render"] = "(9 - (-10))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "(9 - (-10)) \\cdot 11", ["typ"] = "krat" }, ["render"] = "5 - (9 - (-10)) \\cdot 11", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.29, bodu=12, $$6 + 13 \cdot 9 \cdot 12=\textcolor{white}{1410}$$return { ["body"] = 12, ["id"] = "mx5KHH_0209_1312", ["obtiznost"] = 0.29, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1410, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1410}{1}", ["typ"] = "cislo" }, ["tex"] = "1410", ["x"] = 1410 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.29", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 12", ["typ"] = "krat" }, ["render"] = "13 \\cdot 9 \\cdot 12", ["typ"] = "krat" }, ["render"] = "6 + 13 \\cdot 9 \\cdot 12", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.3, bodu=62, $$(2\frac{4}{6} - (-11)) \cdot \frac{2\frac{5}{10}}{12}=\textcolor{white}{2\frac{61}{72}}$$return { ["body"] = 62, ["id"] = "uvFxbA_0209_1312", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = 2.8472222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 205, ["jmenovatel"] = 72 }, ["render"] = "\\frac{205}{72}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{61}{72}", ["x"] = 2, ["y"] = 61, ["z"] = 72 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.3", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} - (-11)", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{6} - (-11))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{10}}{12}", ["typ"] = "lomeno" }, ["render"] = "(2\\frac{4}{6} - (-11)) \\cdot \\frac{2\\frac{5}{10}}{12}", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.31, bodu=25, $$\frac{5 + 9 + 7}{12} - 6=\textcolor{white}{-4{,}25}$$return { ["body"] = 25, ["id"] = "ck03U0_0209_1312", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = -4.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-17}{4}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{1}{4}", ["tex_float"] = "-4{,}25", ["x"] = -4, ["y"] = 1, ["z"] = 4 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "5 + 9 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{5 + 9 + 7}{12}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{5 + 9 + 7}{12} - 6", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.32, bodu=26, $$\frac{7 + 9 - (-5)}{-12 \cdot 9}=\textcolor{white}{-\frac{7}{36}}$$return { ["body"] = 26, ["id"] = "QiGSsk_0209_1312", ["obtiznost"] = 0.32, ["reseni"] = { ["float"] = -0.19444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 36 }, ["render"] = "\\frac{21}{-108}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{7}{36}", ["y"] = -7, ["z"] = 36 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.32", ["zadani"] = { ["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"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "9 - (-5)", ["typ"] = "minus" }, ["render"] = "7 + 9 - (-5)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 9", ["typ"] = "krat" }, ["render"] = "\\frac{7 + 9 - (-5)}{-12 \\cdot 9}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.33, bodu=27, $$\frac{(10 + 9) \cdot (6 + 14)}{8}=\textcolor{white}{47{,}5}$$return { ["body"] = 27, ["id"] = "gsDbSV_0209_1312", ["obtiznost"] = 0.33, ["reseni"] = { ["float"] = 47.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 95, ["jmenovatel"] = 2 }, ["render"] = "\\frac{380}{8}", ["typ"] = "cislo" }, ["tex"] = "47\\frac{1}{2}", ["tex_float"] = "47{,}5", ["x"] = 47, ["y"] = 1, ["z"] = 2 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 + 9", ["typ"] = "plus" }, ["render"] = "(10 + 9)", ["typ"] = "zavorka" }, ["c2"] = { ["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"] = "plus" }, ["render"] = "(6 + 14)", ["typ"] = "zavorka" }, ["render"] = "(10 + 9) \\cdot (6 + 14)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{(10 + 9) \\cdot (6 + 14)}{8}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.34, bodu=27, $$\frac{\frac{-9}{7}}{11 + (-13)}=\textcolor{white}{\frac{9}{14}}$$return { ["body"] = 27, ["id"] = "APia4S_0209_1312", ["obtiznost"] = 0.34, ["reseni"] = { ["float"] = 0.64285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 14 }, ["render"] = "\\frac{-9}{-14}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{14}", ["y"] = 9, ["z"] = 14 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "11 + (-13)", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{-9}{7}}{11 + (-13)}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.35, bodu=46, $$4\frac{1}{4} \cdot -8 - 4 \cdot -9=\textcolor{white}{2}$$return { ["body"] = 46, ["id"] = "5prlTq_0209_1312", ["obtiznost"] = 0.55, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "\\frac{2}{1}", ["typ"] = "cislo" }, ["tex"] = "2", ["tex_float"] = "2", ["x"] = 2 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.35", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{4} \\cdot -8", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "4 \\cdot -9", ["typ"] = "krat" }, ["render"] = "4\\frac{1}{4} \\cdot -8 - 4 \\cdot -9", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.36, bodu=47, $$6 \cdot 12 + (-9 + (-7) - 3\frac{5}{10})=\textcolor{white}{52{,}5}$$return { ["body"] = 47, ["id"] = "oco6HR_0209_1312", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = 52.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 105, ["jmenovatel"] = 2 }, ["render"] = "\\frac{105}{2}", ["typ"] = "cislo" }, ["tex"] = "52\\frac{1}{2}", ["tex_float"] = "52{,}5", ["x"] = 52, ["y"] = 1, ["z"] = 2 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["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"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-9 + (-7) - 3\\frac{5}{10}", ["typ"] = "minus" }, ["render"] = "6 \\cdot 12 + (-9 + (-7) - 3\\frac{5}{10})", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.37, bodu=15, $$((7 + (-9))^4 - 13) \cdot (-10 + 15)=\textcolor{white}{15}$$return { ["body"] = 15, ["id"] = "KRVH7l_0209_1312", ["obtiznost"] = 0.3768, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "\\frac{15}{1}", ["typ"] = "cislo" }, ["tex"] = "15", ["x"] = 15 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.37", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 4, ["render"] = "(7 + (-9))^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "(7 + (-9))^4 - 13", ["typ"] = "minus" }, ["render"] = "((7 + (-9))^4 - 13)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-10 + 15", ["typ"] = "plus" }, ["render"] = "(-10 + 15)", ["typ"] = "zavorka" }, ["render"] = "((7 + (-9))^4 - 13) \\cdot (-10 + 15)", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.38, bodu=31, $$\frac{-11 + 12 - 6 \cdot 12}{-8}=\textcolor{white}{8{,}875}$$return { ["body"] = 31, ["id"] = "NYkEIf_0209_1312", ["obtiznost"] = 0.38, ["reseni"] = { ["float"] = 8.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 71, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-71}{-8}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{7}{8}", ["tex_float"] = "8{,}875", ["x"] = 8, ["y"] = 7, ["z"] = 8 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-11 + 12", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 12", ["typ"] = "krat" }, ["render"] = "-11 + 12 - 6 \\cdot 12", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 + 12 - 6 \\cdot 12}{-8}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.39, bodu=50, $$-10 + \frac{8}{2\frac{5}{7}} - (-14) + 8=\textcolor{white}{14\frac{18}{19}}$$return { ["body"] = 50, ["id"] = "ekkeGA_0209_1312", ["obtiznost"] = 0.59, ["reseni"] = { ["float"] = 14.947368421053, ["objekt"] = { ["hodnota"] = { ["citatel"] = 284, ["jmenovatel"] = 19 }, ["render"] = "\\frac{284}{19}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{18}{19}", ["x"] = 14, ["y"] = 18, ["z"] = 19 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{2\\frac{5}{7}}", ["typ"] = "lomeno" }, ["render"] = "-10 + \\frac{8}{2\\frac{5}{7}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-10 + \\frac{8}{2\\frac{5}{7}} - (-14)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-10 + \\frac{8}{2\\frac{5}{7}} - (-14) + 8", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.4, bodu=51, $$-2 + \frac{-2 + (-16)}{15} \cdot 4\frac{2}{5}=\textcolor{white}{-7{,}28}$$return { ["body"] = 51, ["id"] = "7hROyl_0209_1312", ["obtiznost"] = 0.6, ["reseni"] = { ["float"] = -7.28, ["objekt"] = { ["hodnota"] = { ["citatel"] = -182, ["jmenovatel"] = 25 }, ["render"] = "\\frac{-182}{25}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{7}{25}", ["tex_float"] = "-7{,}28", ["x"] = -7, ["y"] = 7, ["z"] = 25 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.4", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -2, ["jmenovatel"] = 1 }, ["render"] = "-2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-2 + (-16)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{-2 + (-16)}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-2 + (-16)}{15} \\cdot 4\\frac{2}{5}", ["typ"] = "krat" }, ["render"] = "-2 + \\frac{-2 + (-16)}{15} \\cdot 4\\frac{2}{5}", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.41, bodu=52, $$-13 \cdot (\frac{-12}{-12})^2 \cdot (1\frac{1}{3} + (-7))=\textcolor{white}{73\frac{2}{3}}$$return { ["body"] = 52, ["id"] = "wWxbNa_0209_1312", ["obtiznost"] = 0.6108, ["reseni"] = { ["float"] = 73.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 221, ["jmenovatel"] = 3 }, ["render"] = "\\frac{221}{3}", ["typ"] = "cislo" }, ["tex"] = "73\\frac{2}{3}", ["x"] = 73, ["y"] = 2, ["z"] = 3 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.41", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{-12}{-12}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-12}{-12})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{3} + (-7)", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{3} + (-7))", ["typ"] = "zavorka" }, ["render"] = "(\\frac{-12}{-12})^2 \\cdot (1\\frac{1}{3} + (-7))", ["typ"] = "krat" }, ["render"] = "-13 \\cdot (\\frac{-12}{-12})^2 \\cdot (1\\frac{1}{3} + (-7))", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.42, bodu=76, $$\frac{4}{(4\frac{5}{9} - (-8)) \cdot 4\frac{4}{9} \cdot -9}=\textcolor{white}{-\frac{9}{1130}}$$return { ["body"] = 76, ["id"] = "P5C7Gx_0209_1312", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = -0.0079646017699115, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1130 }, ["render"] = "\\frac{36}{-4520}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{9}{1130}", ["y"] = -9, ["z"] = 1130 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.42", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{9} - (-8)", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{9} - (-8))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{5}{9} - (-8)) \\cdot 4\\frac{4}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "(4\\frac{5}{9} - (-8)) \\cdot 4\\frac{4}{9} \\cdot -9", ["typ"] = "krat" }, ["render"] = "\\frac{4}{(4\\frac{5}{9} - (-8)) \\cdot 4\\frac{4}{9} \\cdot -9}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.43, bodu=35, $$(\frac{(8 - 8)^3}{8 - 9 - 6})^4=\textcolor{white}{0}$$return { ["body"] = 35, ["id"] = "EU3r9e_0209_1312", ["obtiznost"] = 0.4308, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.43", ["zadani"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "8 - 8", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(8 - 8)^3", ["typ"] = "mocnina" }, ["c2"] = { ["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"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "8 - 9 - 6", ["typ"] = "minus" }, ["render"] = "\\frac{(8 - 8)^3}{8 - 9 - 6}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{(8 - 8)^3}{8 - 9 - 6})^4", ["typ"] = "mocnina" } }

seed: oge3V8Um2wdYPufKSw6Y_0.44, bodu=62, $$-3 + 1\frac{2}{3} + (-8 + \frac{-14}{(8 - (-4))^2})=\textcolor{white}{-9\frac{31}{72}}$$return { ["body"] = 62, ["id"] = "gq9nFI_0209_1312", ["obtiznost"] = 0.698, ["reseni"] = { ["float"] = -9.4305555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -679, ["jmenovatel"] = 72 }, ["render"] = "\\frac{-679}{72}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{31}{72}", ["x"] = -9, ["y"] = 31, ["z"] = 72 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.44", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "8 - (-4)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(8 - (-4))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-14}{(8 - (-4))^2}", ["typ"] = "lomeno" }, ["render"] = "-8 + \\frac{-14}{(8 - (-4))^2}", ["typ"] = "plus" }, ["render"] = "1\\frac{2}{3} + (-8 + \\frac{-14}{(8 - (-4))^2})", ["typ"] = "plus" }, ["render"] = "-3 + 1\\frac{2}{3} + (-8 + \\frac{-14}{(8 - (-4))^2})", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.45, bodu=18, $$6 - (8 - 15) - (7 - 13)=\textcolor{white}{19}$$return { ["body"] = 18, ["id"] = "sAh63e_0209_1312", ["obtiznost"] = 0.45, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "\\frac{19}{1}", ["typ"] = "cislo" }, ["tex"] = "19", ["tex_float"] = "19", ["x"] = 19 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "8 - 15", ["typ"] = "minus" }, ["render"] = "(8 - 15)", ["typ"] = "zavorka" }, ["render"] = "6 - (8 - 15)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "7 - 13", ["typ"] = "minus" }, ["render"] = "(7 - 13)", ["typ"] = "zavorka" }, ["render"] = "6 - (8 - 15) - (7 - 13)", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.46, bodu=38, $$\frac{\frac{(-7 + 5)^4}{10}}{\frac{-6}{14}}=\textcolor{white}{-3\frac{11}{15}}$$return { ["body"] = 38, ["id"] = "aA1HEK_0209_1312", ["obtiznost"] = 0.4668, ["reseni"] = { ["float"] = -3.7333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -56, ["jmenovatel"] = 15 }, ["render"] = "\\frac{56}{-15}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{11}{15}", ["x"] = -3, ["y"] = 11, ["z"] = 15 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-7 + 5", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-7 + 5)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{(-7 + 5)^4}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{14}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{(-7 + 5)^4}{10}}{\\frac{-6}{14}}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.47, bodu=59, $$\frac{14}{8 + (-11 + 2\frac{4}{11}) \cdot 9}=\textcolor{white}{-\frac{154}{767}}$$return { ["body"] = 59, ["id"] = "eb5h7M_0209_1312", ["obtiznost"] = 0.67, ["reseni"] = { ["float"] = -0.20078226857888, ["objekt"] = { ["hodnota"] = { ["citatel"] = -154, ["jmenovatel"] = 767 }, ["render"] = "\\frac{154}{-767}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{154}{767}", ["y"] = -154, ["z"] = 767 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "-11 + 2\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "(-11 + 2\\frac{4}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(-11 + 2\\frac{4}{11}) \\cdot 9", ["typ"] = "krat" }, ["render"] = "8 + (-11 + 2\\frac{4}{11}) \\cdot 9", ["typ"] = "plus" }, ["render"] = "\\frac{14}{8 + (-11 + 2\\frac{4}{11}) \\cdot 9}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.48, bodu=41, $$(\frac{-8}{10})^2 \cdot -13 \cdot 10=\textcolor{white}{-83{,}2}$$return { ["body"] = 41, ["id"] = "EWxlbK_0209_1312", ["obtiznost"] = 0.4964, ["reseni"] = { ["float"] = -83.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -416, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-2080}{25}", ["typ"] = "cislo" }, ["tex"] = "-83\\frac{1}{5}", ["tex_float"] = "-83{,}2", ["x"] = -83, ["y"] = 1, ["z"] = 5 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.48", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-8}{10})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot 10", ["typ"] = "krat" }, ["render"] = "(\\frac{-8}{10})^2 \\cdot -13 \\cdot 10", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.49, bodu=40, $$(\frac{-9}{9})^2 \cdot (14 + 8 - (-10) + 13)=\textcolor{white}{45}$$return { ["body"] = 40, ["id"] = "2XS38u_0209_1312", ["obtiznost"] = 0.4908, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 45, ["jmenovatel"] = 1 }, ["render"] = "\\frac{45}{1}", ["typ"] = "cislo" }, ["tex"] = "45", ["x"] = 45 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.49", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-9}{9})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "8 - (-10)", ["typ"] = "minus" }, ["render"] = "14 + 8 - (-10)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "14 + 8 - (-10) + 13", ["typ"] = "plus" }, ["render"] = "(14 + 8 - (-10) + 13)", ["typ"] = "zavorka" }, ["render"] = "(\\frac{-9}{9})^2 \\cdot (14 + 8 - (-10) + 13)", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.5, bodu=62, $$12 \cdot \frac{\frac{13}{1\frac{1}{8}}}{10}=\textcolor{white}{13\frac{13}{15}}$$return { ["body"] = 62, ["id"] = "OWH1ab_0209_1312", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = 13.866666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 208, ["jmenovatel"] = 15 }, ["render"] = "\\frac{624}{45}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{13}{15}", ["x"] = 13, ["y"] = 13, ["z"] = 15 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.5", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{1\\frac{1}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{13}{1\\frac{1}{8}}}{10}", ["typ"] = "lomeno" }, ["render"] = "12 \\cdot \\frac{\\frac{13}{1\\frac{1}{8}}}{10}", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.51, bodu=65, $$\frac{8 \cdot -7 \cdot -15}{(-11 - 12)^2}=\textcolor{white}{1\frac{311}{529}}$$return { ["body"] = 65, ["id"] = "940mfQ_0209_1312", ["obtiznost"] = 0.722, ["reseni"] = { ["float"] = 1.5879017013233, ["objekt"] = { ["hodnota"] = { ["citatel"] = 840, ["jmenovatel"] = 529 }, ["render"] = "\\frac{840}{529}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{311}{529}", ["x"] = 1, ["y"] = 311, ["z"] = 529 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.51", ["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"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "-7 \\cdot -15", ["typ"] = "krat" }, ["render"] = "8 \\cdot -7 \\cdot -15", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "-11 - 12", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-11 - 12)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{8 \\cdot -7 \\cdot -15}{(-11 - 12)^2}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.52, bodu=66, $$11 - (2\frac{3}{10} + (-12)) - \frac{-14}{(-14 + 8)^2}=\textcolor{white}{21\frac{4}{45}}$$return { ["body"] = 66, ["id"] = "1uIeJb_0209_1312", ["obtiznost"] = 0.7348, ["reseni"] = { ["float"] = 21.088888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = 949, ["jmenovatel"] = 45 }, ["render"] = "\\frac{3796}{180}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{4}{45}", ["x"] = 21, ["y"] = 4, ["z"] = 45 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{10} + (-12)", ["typ"] = "plus" }, ["render"] = "(2\\frac{3}{10} + (-12))", ["typ"] = "zavorka" }, ["render"] = "11 - (2\\frac{3}{10} + (-12))", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-14 + 8", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-14 + 8)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-14}{(-14 + 8)^2}", ["typ"] = "lomeno" }, ["render"] = "11 - (2\\frac{3}{10} + (-12)) - \\frac{-14}{(-14 + 8)^2}", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.53, bodu=102, $$(12 - 3)^3 + \frac{10}{-7} - 1\frac{5}{11}=\textcolor{white}{726\frac{9}{77}}$$return { ["body"] = 102, ["id"] = "mEUM7n_0209_1312", ["obtiznost"] = 1.022, ["reseni"] = { ["float"] = 726.11688311688, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55911, ["jmenovatel"] = 77 }, ["render"] = "\\frac{55911}{77}", ["typ"] = "cislo" }, ["tex"] = "726\\frac{9}{77}", ["x"] = 726, ["y"] = 9, ["z"] = 77 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.53", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "12 - 3", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(12 - 3)^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-7} - 1\\frac{5}{11}", ["typ"] = "minus" }, ["render"] = "(12 - 3)^3 + \\frac{10}{-7} - 1\\frac{5}{11}", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.54, bodu=92, $$10 - (17 - (-8 \cdot (1\frac{2}{8} + 3\frac{1}{3})))=\textcolor{white}{-43\frac{2}{3}}$$return { ["body"] = 92, ["id"] = "Prk2Gl_0209_1312", ["obtiznost"] = 0.94, ["reseni"] = { ["float"] = -43.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -131, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-131}{3}", ["typ"] = "cislo" }, ["tex"] = "-43\\frac{2}{3}", ["x"] = -43, ["y"] = 2, ["z"] = 3 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.54", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{8} + 3\\frac{1}{3}", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{8} + 3\\frac{1}{3})", ["typ"] = "zavorka" }, ["render"] = "-8 \\cdot (1\\frac{2}{8} + 3\\frac{1}{3})", ["typ"] = "krat" }, ["render"] = "17 - (-8 \\cdot (1\\frac{2}{8} + 3\\frac{1}{3}))", ["typ"] = "minus" }, ["render"] = "(17 - (-8 \\cdot (1\\frac{2}{8} + 3\\frac{1}{3})))", ["typ"] = "zavorka" }, ["render"] = "10 - (17 - (-8 \\cdot (1\\frac{2}{8} + 3\\frac{1}{3})))", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.55, bodu=112, $$((\frac{-18}{10})^3 + 16) \cdot (-8 + (-11 + 2\frac{2}{8}))=\textcolor{white}{-170{,}314}$$return { ["body"] = 112, ["id"] = "AxTCgw_0209_1312", ["obtiznost"] = 1.0916, ["reseni"] = { ["float"] = -170.314, ["objekt"] = { ["hodnota"] = { ["citatel"] = -85157, ["jmenovatel"] = 500 }, ["render"] = "\\frac{-85157}{500}", ["typ"] = "cislo" }, ["tex"] = "-170\\frac{157}{500}", ["tex_float"] = "-170{,}314", ["x"] = -170, ["y"] = 157, ["z"] = 500 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.55", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{-18}{10}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-18}{10})^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "(\\frac{-18}{10})^3 + 16", ["typ"] = "plus" }, ["render"] = "((\\frac{-18}{10})^3 + 16)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "-11 + 2\\frac{2}{8}", ["typ"] = "plus" }, ["render"] = "-8 + (-11 + 2\\frac{2}{8})", ["typ"] = "plus" }, ["render"] = "(-8 + (-11 + 2\\frac{2}{8}))", ["typ"] = "zavorka" }, ["render"] = "((\\frac{-18}{10})^3 + 16) \\cdot (-8 + (-11 + 2\\frac{2}{8}))", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.56, bodu=40, $$(-7 + (-8) - (-6))^3 + 16 - (9 + (-11))=\textcolor{white}{-711}$$return { ["body"] = 40, ["id"] = "2j6oVo_0209_1312", ["obtiznost"] = 0.852, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -711, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-711}{1}", ["typ"] = "cislo" }, ["tex"] = "-711", ["tex_float"] = "-711", ["x"] = -711 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-7 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-7 + (-8) - (-6)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-7 + (-8) - (-6))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "(-7 + (-8) - (-6))^3 + 16", ["typ"] = "plus" }, ["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"] = "plus" }, ["render"] = "(9 + (-11))", ["typ"] = "zavorka" }, ["render"] = "(-7 + (-8) - (-6))^3 + 16 - (9 + (-11))", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.57, bodu=70, $$(4\frac{5}{9} - (10 - (-8 \cdot 6))) \cdot -5=\textcolor{white}{267\frac{2}{9}}$$return { ["body"] = 70, ["id"] = "4BGAFh_0209_1312", ["obtiznost"] = 0.77, ["reseni"] = { ["float"] = 267.22222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2405, ["jmenovatel"] = 9 }, ["render"] = "\\frac{2405}{9}", ["typ"] = "cislo" }, ["tex"] = "267\\frac{2}{9}", ["x"] = 267, ["y"] = 2, ["z"] = 9 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.57", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 6", ["typ"] = "krat" }, ["render"] = "10 - (-8 \\cdot 6)", ["typ"] = "minus" }, ["render"] = "(10 - (-8 \\cdot 6))", ["typ"] = "zavorka" }, ["render"] = "4\\frac{5}{9} - (10 - (-8 \\cdot 6))", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{9} - (10 - (-8 \\cdot 6)))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "(4\\frac{5}{9} - (10 - (-8 \\cdot 6))) \\cdot -5", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.58, bodu=125, $$(\frac{-13}{18})^2 \cdot ((-7 + 15)^3 - 1\frac{5}{12})=\textcolor{white}{266\frac{1255}{3888}}$$return { ["body"] = 125, ["id"] = "Pxj3sD_0209_1312", ["obtiznost"] = 1.1824, ["reseni"] = { ["float"] = 266.32278806584, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1035463, ["jmenovatel"] = 3888 }, ["render"] = "\\frac{1035463}{3888}", ["typ"] = "cislo" }, ["tex"] = "266\\frac{1255}{3888}", ["x"] = 266, ["y"] = 1255, ["z"] = 3888 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.58", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{18}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-13}{18})^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-7 + 15", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-7 + 15)^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "(-7 + 15)^3 - 1\\frac{5}{12}", ["typ"] = "minus" }, ["render"] = "((-7 + 15)^3 - 1\\frac{5}{12})", ["typ"] = "zavorka" }, ["render"] = "(\\frac{-13}{18})^2 \\cdot ((-7 + 15)^3 - 1\\frac{5}{12})", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.59, bodu=124, $$\frac{-4 - (17 - 1\frac{2}{4})^2}{19 \cdot -11}=\textcolor{white}{1\frac{141}{836}}$$return { ["body"] = 124, ["id"] = "LDbmek_0209_1312", ["obtiznost"] = 1.176, ["reseni"] = { ["float"] = 1.1686602870813, ["objekt"] = { ["hodnota"] = { ["citatel"] = 977, ["jmenovatel"] = 836 }, ["render"] = "\\frac{-977}{-836}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{141}{836}", ["x"] = 1, ["y"] = 141, ["z"] = 836 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "17 - 1\\frac{2}{4}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(17 - 1\\frac{2}{4})^2", ["typ"] = "mocnina" }, ["render"] = "-4 - (17 - 1\\frac{2}{4})^2", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "19 \\cdot -11", ["typ"] = "krat" }, ["render"] = "\\frac{-4 - (17 - 1\\frac{2}{4})^2}{19 \\cdot -11}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.6, bodu=100, $$\frac{15}{\frac{-10}{-11}} + 4\frac{3}{10} \cdot 4\frac{2}{7}=\textcolor{white}{34\frac{13}{14}}$$return { ["body"] = 100, ["id"] = "CTr5Qj_0209_1312", ["obtiznost"] = 1, ["reseni"] = { ["float"] = 34.928571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 489, ["jmenovatel"] = 14 }, ["render"] = "\\frac{489}{14}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{13}{14}", ["x"] = 34, ["y"] = 13, ["z"] = 14 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{-11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{15}{\\frac{-10}{-11}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{10} \\cdot 4\\frac{2}{7}", ["typ"] = "krat" }, ["render"] = "\\frac{15}{\\frac{-10}{-11}} + 4\\frac{3}{10} \\cdot 4\\frac{2}{7}", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.61, bodu=101, $$-10 + \frac{1\frac{1}{5}}{11} + 3\frac{5}{8} + \frac{12}{11}=\textcolor{white}{-5{,}175}$$return { ["body"] = 101, ["id"] = "K1S5YD_0209_1312", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = -5.175, ["objekt"] = { ["hodnota"] = { ["citatel"] = -207, ["jmenovatel"] = 40 }, ["render"] = "\\frac{-25047}{4840}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{7}{40}", ["tex_float"] = "-5{,}175", ["x"] = -5, ["y"] = 7, ["z"] = 40 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{5}}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{5}}{11} + 3\\frac{5}{8}", ["typ"] = "plus" }, ["render"] = "-10 + \\frac{1\\frac{1}{5}}{11} + 3\\frac{5}{8}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{11}", ["typ"] = "lomeno" }, ["render"] = "-10 + \\frac{1\\frac{1}{5}}{11} + 3\\frac{5}{8} + \\frac{12}{11}", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.62, bodu=68, $$\frac{(6 - (-12))^2}{\frac{-13}{-11}} \cdot -12=\textcolor{white}{-3289\frac{11}{13}}$$return { ["body"] = 68, ["id"] = "68daFT_0209_1312", ["obtiznost"] = 0.75, ["reseni"] = { ["float"] = -3289.8461538462, ["objekt"] = { ["hodnota"] = { ["citatel"] = -42768, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-42768}{13}", ["typ"] = "cislo" }, ["tex"] = "-3289\\frac{11}{13}", ["x"] = -3289, ["y"] = 11, ["z"] = 13 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "6 - (-12)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(6 - (-12))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-13}{-11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(6 - (-12))^2}{\\frac{-13}{-11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{(6 - (-12))^2}{\\frac{-13}{-11}} \\cdot -12", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.63, bodu=78, $$13 \cdot (-10 - \frac{13}{4\frac{2}{8}} - (-18 - 17))=\textcolor{white}{285\frac{4}{17}}$$return { ["body"] = 78, ["id"] = "nKljq0_0209_1312", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = 285.23529411765, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4849, ["jmenovatel"] = 17 }, ["render"] = "\\frac{4849}{17}", ["typ"] = "cislo" }, ["tex"] = "285\\frac{4}{17}", ["x"] = 285, ["y"] = 4, ["z"] = 17 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.63", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["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"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{4\\frac{2}{8}}", ["typ"] = "lomeno" }, ["render"] = "-10 - \\frac{13}{4\\frac{2}{8}}", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "-18 - 17", ["typ"] = "minus" }, ["render"] = "(-18 - 17)", ["typ"] = "zavorka" }, ["render"] = "-10 - \\frac{13}{4\\frac{2}{8}} - (-18 - 17)", ["typ"] = "minus" }, ["render"] = "(-10 - \\frac{13}{4\\frac{2}{8}} - (-18 - 17))", ["typ"] = "zavorka" }, ["render"] = "13 \\cdot (-10 - \\frac{13}{4\\frac{2}{8}} - (-18 - 17))", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.64, bodu=56, $$-8 - (-12 \cdot (-5 - \frac{16}{-7}))=\textcolor{white}{-40\frac{4}{7}}$$return { ["body"] = 56, ["id"] = "960Efz_0209_1312", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = -40.571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -284, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-284}{7}", ["typ"] = "cislo" }, ["tex"] = "-40\\frac{4}{7}", ["x"] = -40, ["y"] = 4, ["z"] = 7 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.64", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{-7}", ["typ"] = "lomeno" }, ["render"] = "-5 - \\frac{16}{-7}", ["typ"] = "minus" }, ["render"] = "(-5 - \\frac{16}{-7})", ["typ"] = "zavorka" }, ["render"] = "-12 \\cdot (-5 - \\frac{16}{-7})", ["typ"] = "krat" }, ["render"] = "-8 - (-12 \\cdot (-5 - \\frac{16}{-7}))", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.65, bodu=135, $$4\frac{3}{6} + 7 + 3\frac{5}{6} \cdot 3 \cdot 2\frac{1}{2} - 12=\textcolor{white}{28{,}25}$$return { ["body"] = 135, ["id"] = "6hoPJu_0209_1312", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = 28.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 113, ["jmenovatel"] = 4 }, ["render"] = "\\frac{226}{8}", ["typ"] = "cislo" }, ["tex"] = "28\\frac{1}{4}", ["tex_float"] = "28{,}25", ["x"] = 28, ["y"] = 1, ["z"] = 4 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} + 7", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 2\\frac{1}{2}", ["typ"] = "krat" }, ["render"] = "3\\frac{5}{6} \\cdot 3 \\cdot 2\\frac{1}{2}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{6} \\cdot 3 \\cdot 2\\frac{1}{2} - 12", ["typ"] = "minus" }, ["render"] = "4\\frac{3}{6} + 7 + 3\\frac{5}{6} \\cdot 3 \\cdot 2\\frac{1}{2} - 12", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.66, bodu=82, $$\frac{3\frac{5}{11}}{-19} \cdot (\frac{-18 - (-4)}{7})^4=\textcolor{white}{-2\frac{10}{11}}$$return { ["body"] = 82, ["id"] = "KA3BiE_0209_1312", ["obtiznost"] = 0.8668, ["reseni"] = { ["float"] = -2.9090909090909, ["objekt"] = { ["hodnota"] = { ["citatel"] = -32, ["jmenovatel"] = 11 }, ["render"] = "\\frac{-32}{11}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{10}{11}", ["x"] = -2, ["y"] = 10, ["z"] = 11 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{11}}{-19}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "-18 - (-4)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-18 - (-4)}{7}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-18 - (-4)}{7})^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{3\\frac{5}{11}}{-19} \\cdot (\\frac{-18 - (-4)}{7})^4", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.67, bodu=59, $$\frac{16}{-6 \cdot (20 - \frac{-15}{15})}=\textcolor{white}{-\frac{8}{63}}$$return { ["body"] = 59, ["id"] = "OgWa0g_0209_1312", ["obtiznost"] = 0.67, ["reseni"] = { ["float"] = -0.12698412698413, ["objekt"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 63 }, ["render"] = "\\frac{16}{-126}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{8}{63}", ["y"] = -8, ["z"] = 63 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.67", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{15}", ["typ"] = "lomeno" }, ["render"] = "20 - \\frac{-15}{15}", ["typ"] = "minus" }, ["render"] = "(20 - \\frac{-15}{15})", ["typ"] = "zavorka" }, ["render"] = "-6 \\cdot (20 - \\frac{-15}{15})", ["typ"] = "krat" }, ["render"] = "\\frac{16}{-6 \\cdot (20 - \\frac{-15}{15})}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.68, bodu=60, $$\frac{(-5 - (-8))^2}{-14 \cdot -13 - (-17)}=\textcolor{white}{\frac{9}{199}}$$return { ["body"] = 60, ["id"] = "nnaeek_0209_1312", ["obtiznost"] = 0.684, ["reseni"] = { ["float"] = 0.045226130653266, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 199 }, ["render"] = "\\frac{9}{199}", ["typ"] = "cislo" }, ["tex"] = "\\frac{9}{199}", ["y"] = 9, ["z"] = 199 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.68", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-5 - (-8)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-5 - (-8))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -13 - (-17)", ["typ"] = "minus" }, ["render"] = "\\frac{(-5 - (-8))^2}{-14 \\cdot -13 - (-17)}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.69, bodu=112, $$\frac{3\frac{3}{7} - (1\frac{2}{6} - (-18))}{-5 \cdot -10}=\textcolor{white}{-\frac{167}{525}}$$return { ["body"] = 112, ["id"] = "Md0sTC_0209_1312", ["obtiznost"] = 1.09, ["reseni"] = { ["float"] = -0.31809523809524, ["objekt"] = { ["hodnota"] = { ["citatel"] = -167, ["jmenovatel"] = 525 }, ["render"] = "\\frac{-334}{1050}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{167}{525}", ["y"] = -167, ["z"] = 525 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.69", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} - (-18)", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{6} - (-18))", ["typ"] = "zavorka" }, ["render"] = "3\\frac{3}{7} - (1\\frac{2}{6} - (-18))", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot -10", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{3}{7} - (1\\frac{2}{6} - (-18))}{-5 \\cdot -10}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.7, bodu=113, $$\frac{3\frac{3}{9} + 1\frac{1}{6} \cdot 8}{\frac{-14}{15}}=\textcolor{white}{-13\frac{4}{7}}$$return { ["body"] = 113, ["id"] = "7KekyQ_0209_1312", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = -13.571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -95, ["jmenovatel"] = 7 }, ["render"] = "\\frac{570}{-42}", ["typ"] = "cislo" }, ["tex"] = "-13\\frac{4}{7}", ["x"] = -13, ["y"] = 4, ["z"] = 7 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{6} \\cdot 8", ["typ"] = "krat" }, ["render"] = "3\\frac{3}{9} + 1\\frac{1}{6} \\cdot 8", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{15}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{3}{9} + 1\\frac{1}{6} \\cdot 8}{\\frac{-14}{15}}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.71, bodu=88, $$14 \cdot -9 \cdot 4\frac{3}{6} - 4 - 16=\textcolor{white}{-587}$$return { ["body"] = 88, ["id"] = "TvZidq_0209_1312", ["obtiznost"] = 0.91, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -587, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-587}{1}", ["typ"] = "cislo" }, ["tex"] = "-587", ["tex_float"] = "-587", ["x"] = -587 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 4\\frac{3}{6}", ["typ"] = "krat" }, ["render"] = "14 \\cdot -9 \\cdot 4\\frac{3}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "14 \\cdot -9 \\cdot 4\\frac{3}{6} - 4", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "14 \\cdot -9 \\cdot 4\\frac{3}{6} - 4 - 16", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.72, bodu=89, $$11 \cdot -12 \cdot 2\frac{3}{4} - (8 - 18)=\textcolor{white}{-353}$$return { ["body"] = 89, ["id"] = "Avvoj1_0209_1312", ["obtiznost"] = 0.92, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -353, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-353}{1}", ["typ"] = "cislo" }, ["tex"] = "-353", ["x"] = -353 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot 2\\frac{3}{4}", ["typ"] = "krat" }, ["render"] = "11 \\cdot -12 \\cdot 2\\frac{3}{4}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "8 - 18", ["typ"] = "minus" }, ["render"] = "(8 - 18)", ["typ"] = "zavorka" }, ["render"] = "11 \\cdot -12 \\cdot 2\\frac{3}{4} - (8 - 18)", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.73, bodu=90, $$12 + \frac{(-4 + 6)^2}{-8 \cdot 18} - 1\frac{4}{12}=\textcolor{white}{10\frac{23}{36}}$$return { ["body"] = 90, ["id"] = "BpB8LY_0209_1312", ["obtiznost"] = 0.932, ["reseni"] = { ["float"] = 10.638888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = 383, ["jmenovatel"] = 36 }, ["render"] = "\\frac{1149}{108}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{23}{36}", ["x"] = 10, ["y"] = 23, ["z"] = 36 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-4 + 6", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-4 + 6)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 18", ["typ"] = "krat" }, ["render"] = "\\frac{(-4 + 6)^2}{-8 \\cdot 18}", ["typ"] = "lomeno" }, ["render"] = "12 + \\frac{(-4 + 6)^2}{-8 \\cdot 18}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "12 + \\frac{(-4 + 6)^2}{-8 \\cdot 18} - 1\\frac{4}{12}", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.74, bodu=119, $$-3 \cdot -6 \cdot (-19 - 4\frac{5}{7}) \cdot 3\frac{2}{8}=\textcolor{white}{-1387\frac{2}{7}}$$return { ["body"] = 119, ["id"] = "rIPTl4_0209_1312", ["obtiznost"] = 1.14, ["reseni"] = { ["float"] = -1387.2857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9711, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-38844}{28}", ["typ"] = "cislo" }, ["tex"] = "-1387\\frac{2}{7}", ["x"] = -1387, ["y"] = 2, ["z"] = 7 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot -6", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "-19 - 4\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(-19 - 4\\frac{5}{7})", ["typ"] = "zavorka" }, ["render"] = "-3 \\cdot -6 \\cdot (-19 - 4\\frac{5}{7})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot -6 \\cdot (-19 - 4\\frac{5}{7}) \\cdot 3\\frac{2}{8}", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.75, bodu=151, $$2\frac{1}{10} - (-5) - \frac{16}{\frac{2\frac{2}{3} + (-19)}{3\frac{1}{6}}}=\textcolor{white}{10\frac{99}{490}}$$return { ["body"] = 151, ["id"] = "ylWei7_0209_1312", ["obtiznost"] = 1.35, ["reseni"] = { ["float"] = 10.202040816327, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4999, ["jmenovatel"] = 490 }, ["render"] = "\\frac{4999}{490}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{99}{490}", ["x"] = 10, ["y"] = 99, ["z"] = 490 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{1}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{10} - (-5)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{3} + (-19)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{3} + (-19)}{3\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{16}{\\frac{2\\frac{2}{3} + (-19)}{3\\frac{1}{6}}}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{1}{10} - (-5) - \\frac{16}{\\frac{2\\frac{2}{3} + (-19)}{3\\frac{1}{6}}}", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.76, bodu=152, $$\frac{13}{4\frac{4}{9} - 1\frac{1}{6}} \cdot (-8 - 1\frac{5}{7})=\textcolor{white}{-38\frac{218}{413}}$$return { ["body"] = 152, ["id"] = "IMyHny_0209_1312", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = -38.52784503632, ["objekt"] = { ["hodnota"] = { ["citatel"] = -15912, ["jmenovatel"] = 413 }, ["render"] = "\\frac{-15912}{413}", ["typ"] = "cislo" }, ["tex"] = "-38\\frac{218}{413}", ["x"] = -38, ["y"] = 218, ["z"] = 413 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{9} - 1\\frac{1}{6}", ["typ"] = "minus" }, ["render"] = "\\frac{13}{4\\frac{4}{9} - 1\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "-8 - 1\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(-8 - 1\\frac{5}{7})", ["typ"] = "zavorka" }, ["render"] = "\\frac{13}{4\\frac{4}{9} - 1\\frac{1}{6}} \\cdot (-8 - 1\\frac{5}{7})", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.77, bodu=155, $$-15 + (13 - (-10))^2 + 12 - (5 + 2\frac{2}{6})^2 + 15=\textcolor{white}{487\frac{2}{9}}$$return { ["body"] = 155, ["id"] = "EYpq8K_0209_1312", ["obtiznost"] = 1.3792, ["reseni"] = { ["float"] = 487.22222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4385, ["jmenovatel"] = 9 }, ["render"] = "\\frac{4385}{9}", ["typ"] = "cislo" }, ["tex"] = "487\\frac{2}{9}", ["x"] = 487, ["y"] = 2, ["z"] = 9 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "13 - (-10)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(13 - (-10))^2", ["typ"] = "mocnina" }, ["render"] = "-15 + (13 - (-10))^2", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "5 + 2\\frac{2}{6}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(5 + 2\\frac{2}{6})^2", ["typ"] = "mocnina" }, ["render"] = "12 - (5 + 2\\frac{2}{6})^2", ["typ"] = "minus" }, ["render"] = "-15 + (13 - (-10))^2 + 12 - (5 + 2\\frac{2}{6})^2", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "-15 + (13 - (-10))^2 + 12 - (5 + 2\\frac{2}{6})^2 + 15", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.78, bodu=178, $$\frac{-14}{16 \cdot 3\frac{1}{3} + (1\frac{5}{10} \cdot 1\frac{5}{12})^2}=\textcolor{white}{-\frac{2688}{11107}}$$return { ["body"] = 178, ["id"] = "wwvDBl_0209_1312", ["obtiznost"] = 1.5212, ["reseni"] = { ["float"] = -0.24200954353111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2688, ["jmenovatel"] = 11107 }, ["render"] = "\\frac{-2688}{11107}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{2688}{11107}", ["y"] = -2688, ["z"] = 11107 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.78", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "16 \\cdot 3\\frac{1}{3}", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} \\cdot 1\\frac{5}{12}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{5}{10} \\cdot 1\\frac{5}{12})^2", ["typ"] = "mocnina" }, ["render"] = "16 \\cdot 3\\frac{1}{3} + (1\\frac{5}{10} \\cdot 1\\frac{5}{12})^2", ["typ"] = "plus" }, ["render"] = "\\frac{-14}{16 \\cdot 3\\frac{1}{3} + (1\\frac{5}{10} \\cdot 1\\frac{5}{12})^2}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.79, bodu=126, $$\frac{-16}{\frac{-9 \cdot 2\frac{4}{6}}{20 + 2\frac{5}{10}}}=\textcolor{white}{15}$$return { ["body"] = 126, ["id"] = "C2k49R_0209_1312", ["obtiznost"] = 1.19, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-240}{-16}", ["typ"] = "cislo" }, ["tex"] = "15", ["x"] = 15 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.79", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 2\\frac{4}{6}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "20 + 2\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{-9 \\cdot 2\\frac{4}{6}}{20 + 2\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-16}{\\frac{-9 \\cdot 2\\frac{4}{6}}{20 + 2\\frac{5}{10}}}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.8, bodu=192, $$\frac{-15 \cdot 3\frac{4}{7} \cdot 3\frac{5}{11} - (3\frac{4}{10} + (-19 + 3\frac{5}{9}))}{-13}=\textcolor{white}{13\frac{13931}{45045}}$$return { ["body"] = 192, ["id"] = "bsZSZf_0209_1312", ["obtiznost"] = 1.6, ["reseni"] = { ["float"] = 13.309268509269, ["objekt"] = { ["hodnota"] = { ["citatel"] = 599516, ["jmenovatel"] = 45045 }, ["render"] = "\\frac{-599516}{-45045}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{13931}{45045}", ["x"] = 13, ["y"] = 13931, ["z"] = 45045 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 3\\frac{4}{7}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 3\\frac{4}{7} \\cdot 3\\frac{5}{11}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "-19 + 3\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "3\\frac{4}{10} + (-19 + 3\\frac{5}{9})", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{10} + (-19 + 3\\frac{5}{9}))", ["typ"] = "zavorka" }, ["render"] = "-15 \\cdot 3\\frac{4}{7} \\cdot 3\\frac{5}{11} - (3\\frac{4}{10} + (-19 + 3\\frac{5}{9}))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{-15 \\cdot 3\\frac{4}{7} \\cdot 3\\frac{5}{11} - (3\\frac{4}{10} + (-19 + 3\\frac{5}{9}))}{-13}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.81, bodu=164, $$(3 - (-17 - (-13)))^2 + (-13 - (-5))^3 - 1\frac{2}{8} + 2\frac{2}{8}=\textcolor{white}{-462}$$return { ["body"] = 164, ["id"] = "hL9qKu_0209_1312", ["obtiznost"] = 1.4352, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -462, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1848}{4}", ["typ"] = "cislo" }, ["tex"] = "-462", ["x"] = -462 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-17 - (-13)", ["typ"] = "minus" }, ["render"] = "(-17 - (-13))", ["typ"] = "zavorka" }, ["render"] = "3 - (-17 - (-13))", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(3 - (-17 - (-13)))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-13 - (-5)", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(-13 - (-5))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "(-13 - (-5))^3 - 1\\frac{2}{8}", ["typ"] = "minus" }, ["render"] = "(3 - (-17 - (-13)))^2 + (-13 - (-5))^3 - 1\\frac{2}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "(3 - (-17 - (-13)))^2 + (-13 - (-5))^3 - 1\\frac{2}{8} + 2\\frac{2}{8}", ["typ"] = "plus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.82, bodu=195, $$3\frac{2}{8} - \frac{-14 \cdot (2\frac{3}{8} - 4\frac{1}{3})}{-9 \cdot 1\frac{4}{12}}=\textcolor{white}{5\frac{77}{144}}$$return { ["body"] = 195, ["id"] = "ZHwTxw_0209_1312", ["obtiznost"] = 1.62, ["reseni"] = { ["float"] = 5.5347222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 797, ["jmenovatel"] = 144 }, ["render"] = "\\frac{3188}{576}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{77}{144}", ["x"] = 5, ["y"] = 77, ["z"] = 144 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.82", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} - 4\\frac{1}{3}", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{8} - 4\\frac{1}{3})", ["typ"] = "zavorka" }, ["render"] = "-14 \\cdot (2\\frac{3}{8} - 4\\frac{1}{3})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 1\\frac{4}{12}", ["typ"] = "krat" }, ["render"] = "\\frac{-14 \\cdot (2\\frac{3}{8} - 4\\frac{1}{3})}{-9 \\cdot 1\\frac{4}{12}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{2}{8} - \\frac{-14 \\cdot (2\\frac{3}{8} - 4\\frac{1}{3})}{-9 \\cdot 1\\frac{4}{12}}", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.83, bodu=104, $$\frac{\frac{-16}{9} - (-14 \cdot -13 + 2\frac{3}{9} + 10)}{-9}=\textcolor{white}{21\frac{64}{81}}$$return { ["body"] = 104, ["id"] = "f4Mr5X_0209_1312", ["obtiznost"] = 1.03, ["reseni"] = { ["float"] = 21.79012345679, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1765, ["jmenovatel"] = 81 }, ["render"] = "\\frac{-1765}{-81}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{64}{81}", ["x"] = 21, ["y"] = 64, ["z"] = 81 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -13", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{9} + 10", ["typ"] = "plus" }, ["render"] = "-14 \\cdot -13 + 2\\frac{3}{9} + 10", ["typ"] = "plus" }, ["render"] = "(-14 \\cdot -13 + 2\\frac{3}{9} + 10)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-16}{9} - (-14 \\cdot -13 + 2\\frac{3}{9} + 10)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-16}{9} - (-14 \\cdot -13 + 2\\frac{3}{9} + 10)}{-9}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.84, bodu=84, $$(3 + (\frac{4}{-9})^2) \cdot (-10 - (10 - 9))=\textcolor{white}{-35\frac{14}{81}}$$return { ["body"] = 84, ["id"] = "Il58vf_0209_1312", ["obtiznost"] = 0.8788, ["reseni"] = { ["float"] = -35.172839506173, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2849, ["jmenovatel"] = 81 }, ["render"] = "\\frac{-2849}{81}", ["typ"] = "cislo" }, ["tex"] = "-35\\frac{14}{81}", ["x"] = -35, ["y"] = 14, ["z"] = 81 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.84", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{-9}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{4}{-9})^2", ["typ"] = "mocnina" }, ["render"] = "3 + (\\frac{4}{-9})^2", ["typ"] = "plus" }, ["render"] = "(3 + (\\frac{4}{-9})^2)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 - 9", ["typ"] = "minus" }, ["render"] = "(10 - 9)", ["typ"] = "zavorka" }, ["render"] = "-10 - (10 - 9)", ["typ"] = "minus" }, ["render"] = "(-10 - (10 - 9))", ["typ"] = "zavorka" }, ["render"] = "(3 + (\\frac{4}{-9})^2) \\cdot (-10 - (10 - 9))", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.85, bodu=200, $$\frac{4\frac{3}{7} - 2\frac{2}{8} - (-15) - 12}{4\frac{2}{6} + 4\frac{5}{9} - 9}=\textcolor{white}{-46\frac{17}{28}}$$return { ["body"] = 200, ["id"] = "tATcQZ_0209_1312", ["obtiznost"] = 1.65, ["reseni"] = { ["float"] = -46.607142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1305, ["jmenovatel"] = 28 }, ["render"] = "\\frac{1305}{-28}", ["typ"] = "cislo" }, ["tex"] = "-46\\frac{17}{28}", ["x"] = -46, ["y"] = 17, ["z"] = 28 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} - 2\\frac{2}{8}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} - 2\\frac{2}{8} - (-15)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{7} - 2\\frac{2}{8} - (-15) - 12", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{9} - 9", ["typ"] = "minus" }, ["render"] = "4\\frac{2}{6} + 4\\frac{5}{9} - 9", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{3}{7} - 2\\frac{2}{8} - (-15) - 12}{4\\frac{2}{6} + 4\\frac{5}{9} - 9}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.86, bodu=81, $$21 + 16 + \frac{-10}{17} - (13 + 11) - 20=\textcolor{white}{-7\frac{10}{17}}$$return { ["body"] = 81, ["id"] = "Xy4Ca5_0209_1312", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = -7.5882352941176, ["objekt"] = { ["hodnota"] = { ["citatel"] = -129, ["jmenovatel"] = 17 }, ["render"] = "\\frac{-129}{17}", ["typ"] = "cislo" }, ["tex"] = "-7\\frac{10}{17}", ["x"] = -7, ["y"] = 10, ["z"] = 17 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 1 }, ["render"] = "21", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "21 + 16", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{17}", ["typ"] = "lomeno" }, ["render"] = "21 + 16 + \\frac{-10}{17}", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "13 + 11", ["typ"] = "plus" }, ["render"] = "(13 + 11)", ["typ"] = "zavorka" }, ["render"] = "21 + 16 + \\frac{-10}{17} - (13 + 11)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "21 + 16 + \\frac{-10}{17} - (13 + 11) - 20", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.87, bodu=170, $$1\frac{4}{7} + 2\frac{2}{6} - \frac{1\frac{5}{9} - (-20)}{-14 \cdot -11}=\textcolor{white}{3\frac{530}{693}}$$return { ["body"] = 170, ["id"] = "Gyyq8a_0209_1312", ["obtiznost"] = 1.47, ["reseni"] = { ["float"] = 3.7647907647908, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2609, ["jmenovatel"] = 693 }, ["render"] = "\\frac{54789}{14553}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{530}{693}", ["x"] = 3, ["y"] = 530, ["z"] = 693 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.87", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} + 2\\frac{2}{6}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} - (-20)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -11", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{5}{9} - (-20)}{-14 \\cdot -11}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{4}{7} + 2\\frac{2}{6} - \\frac{1\\frac{5}{9} - (-20)}{-14 \\cdot -11}", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.88, bodu=172, $$\frac{\frac{13}{18}}{4\frac{2}{4} \cdot 2\frac{5}{9} \cdot 2\frac{1}{9}}=\textcolor{white}{\frac{13}{437}}$$return { ["body"] = 172, ["id"] = "ORIicM_0209_1312", ["obtiznost"] = 1.48, ["reseni"] = { ["float"] = 0.02974828375286, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 437 }, ["render"] = "\\frac{234}{7866}", ["typ"] = "cislo" }, ["tex"] = "\\frac{13}{437}", ["y"] = 13, ["z"] = 437 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{18}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{4} \\cdot 2\\frac{5}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{4} \\cdot 2\\frac{5}{9} \\cdot 2\\frac{1}{9}", ["typ"] = "krat" }, ["render"] = "\\frac{\\frac{13}{18}}{4\\frac{2}{4} \\cdot 2\\frac{5}{9} \\cdot 2\\frac{1}{9}}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.89, bodu=173, $$\frac{-10 - 6}{1\frac{4}{10}} \cdot \frac{2\frac{4}{10} \cdot 15}{1\frac{3}{8}}=\textcolor{white}{-299\frac{17}{77}}$$return { ["body"] = 173, ["id"] = "3VaqR2_0209_1312", ["obtiznost"] = 1.49, ["reseni"] = { ["float"] = -299.22077922078, ["objekt"] = { ["hodnota"] = { ["citatel"] = -23040, ["jmenovatel"] = 77 }, ["render"] = "\\frac{-23040}{77}", ["typ"] = "cislo" }, ["tex"] = "-299\\frac{17}{77}", ["x"] = -299, ["y"] = 17, ["z"] = 77 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-10 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 - 6}{1\\frac{4}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{10} \\cdot 15", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{10} \\cdot 15}{1\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-10 - 6}{1\\frac{4}{10}} \\cdot \\frac{2\\frac{4}{10} \\cdot 15}{1\\frac{3}{8}}", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.9, bodu=175, $$-14 - (1\frac{1}{11} \cdot 4\frac{2}{6} \cdot 1\frac{3}{7} - (-11 + (-19) + (-12)))=\textcolor{white}{-62\frac{58}{77}}$$return { ["body"] = 175, ["id"] = "eSOMlv_0209_1312", ["obtiznost"] = 1.5, ["reseni"] = { ["float"] = -62.753246753247, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4832, ["jmenovatel"] = 77 }, ["render"] = "\\frac{-4832}{77}", ["typ"] = "cislo" }, ["tex"] = "-62\\frac{58}{77}", ["x"] = -62, ["y"] = 58, ["z"] = 77 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.9", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{11} \\cdot 4\\frac{2}{6}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{11} \\cdot 4\\frac{2}{6} \\cdot 1\\frac{3}{7}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "-11 + (-19)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-11 + (-19) + (-12)", ["typ"] = "plus" }, ["render"] = "(-11 + (-19) + (-12))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{11} \\cdot 4\\frac{2}{6} \\cdot 1\\frac{3}{7} - (-11 + (-19) + (-12))", ["typ"] = "minus" }, ["render"] = "(1\\frac{1}{11} \\cdot 4\\frac{2}{6} \\cdot 1\\frac{3}{7} - (-11 + (-19) + (-12)))", ["typ"] = "zavorka" }, ["render"] = "-14 - (1\\frac{1}{11} \\cdot 4\\frac{2}{6} \\cdot 1\\frac{3}{7} - (-11 + (-19) + (-12)))", ["typ"] = "minus" } }

seed: oge3V8Um2wdYPufKSw6Y_0.91, bodu=115, $$\frac{-15 \cdot (6 + 3\frac{5}{14})}{-12 + (-18 \cdot -9)}=\textcolor{white}{-\frac{131}{140}}$$return { ["body"] = 115, ["id"] = "Sz8ymL_0209_1312", ["obtiznost"] = 1.11, ["reseni"] = { ["float"] = -0.93571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -131, ["jmenovatel"] = 140 }, ["render"] = "\\frac{-1965}{2100}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{131}{140}", ["y"] = -131, ["z"] = 140 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 47, ["jmenovatel"] = 14 }, ["render"] = "3\\frac{5}{14}", ["typ"] = "cislo" }, ["render"] = "6 + 3\\frac{5}{14}", ["typ"] = "plus" }, ["render"] = "(6 + 3\\frac{5}{14})", ["typ"] = "zavorka" }, ["render"] = "-15 \\cdot (6 + 3\\frac{5}{14})", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "-18 \\cdot -9", ["typ"] = "krat" }, ["render"] = "-12 + (-18 \\cdot -9)", ["typ"] = "plus" }, ["render"] = "\\frac{-15 \\cdot (6 + 3\\frac{5}{14})}{-12 + (-18 \\cdot -9)}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.92, bodu=163, $$\frac{4\frac{5}{10} + (-15) - 22}{(-12 + 18)^2 - (11 - (-16))^2}=\textcolor{white}{\frac{65}{1386}}$$return { ["body"] = 163, ["id"] = "cYnjKO_0209_1312", ["obtiznost"] = 1.4268, ["reseni"] = { ["float"] = 0.046897546897547, ["objekt"] = { ["hodnota"] = { ["citatel"] = 65, ["jmenovatel"] = 1386 }, ["render"] = "\\frac{-65}{-1386}", ["typ"] = "cislo" }, ["tex"] = "\\frac{65}{1386}", ["y"] = 65, ["z"] = 1386 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{10} + (-15)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{10} + (-15) - 22", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "-12 + 18", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-12 + 18)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "11 - (-16)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(11 - (-16))^2", ["typ"] = "mocnina" }, ["render"] = "(-12 + 18)^2 - (11 - (-16))^2", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{5}{10} + (-15) - 22}{(-12 + 18)^2 - (11 - (-16))^2}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.93, bodu=398, $$\frac{2\frac{3}{8} \cdot (6 + 3\frac{4}{12})^2}{(4\frac{2}{3} + 1\frac{2}{8} - 4\frac{2}{6})^2 \cdot 4\frac{1}{10}}=\textcolor{white}{20\frac{100}{779}}$$return { ["body"] = 398, ["id"] = "BO8VQB_0209_1312", ["obtiznost"] = 2.6492, ["reseni"] = { ["float"] = 20.12836970475, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15680, ["jmenovatel"] = 779 }, ["render"] = "\\frac{2681280}{133209}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{100}{779}", ["x"] = 20, ["y"] = 100, ["z"] = 779 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "6 + 3\\frac{4}{12}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(6 + 3\\frac{4}{12})^2", ["typ"] = "mocnina" }, ["render"] = "2\\frac{3}{8} \\cdot (6 + 3\\frac{4}{12})^2", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{3} + 1\\frac{2}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{3} + 1\\frac{2}{8} - 4\\frac{2}{6}", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4\\frac{2}{3} + 1\\frac{2}{8} - 4\\frac{2}{6})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 10 }, ["render"] = "4\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{2}{3} + 1\\frac{2}{8} - 4\\frac{2}{6})^2 \\cdot 4\\frac{1}{10}", ["typ"] = "krat" }, ["render"] = "\\frac{2\\frac{3}{8} \\cdot (6 + 3\\frac{4}{12})^2}{(4\\frac{2}{3} + 1\\frac{2}{8} - 4\\frac{2}{6})^2 \\cdot 4\\frac{1}{10}}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.94, bodu=181, $$\frac{7}{\frac{1\frac{5}{13} \cdot 4\frac{1}{8} - 17}{4\frac{4}{8} \cdot -23}}=\textcolor{white}{64\frac{106}{587}}$$return { ["body"] = 181, ["id"] = "xY7cVM_0209_1312", ["obtiznost"] = 1.54, ["reseni"] = { ["float"] = 64.180579216354, ["objekt"] = { ["hodnota"] = { ["citatel"] = 37674, ["jmenovatel"] = 587 }, ["render"] = "\\frac{37674}{587}", ["typ"] = "cislo" }, ["tex"] = "64\\frac{106}{587}", ["x"] = 64, ["y"] = 106, ["z"] = 587 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.94", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{13} \\cdot 4\\frac{1}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{13} \\cdot 4\\frac{1}{8} - 17", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -23, ["jmenovatel"] = 1 }, ["render"] = "-23", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} \\cdot -23", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{5}{13} \\cdot 4\\frac{1}{8} - 17}{4\\frac{4}{8} \\cdot -23}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7}{\\frac{1\\frac{5}{13} \\cdot 4\\frac{1}{8} - 17}{4\\frac{4}{8} \\cdot -23}}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.95, bodu=218, $$\frac{-19 + 4\frac{2}{3} - 4\frac{4}{10}}{2\frac{2}{5} \cdot (3\frac{4}{10} - (18 + 6))}=\textcolor{white}{\frac{1405}{3708}}$$return { ["body"] = 218, ["id"] = "WkcKan_0209_1312", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = 0.37891046386192, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1405, ["jmenovatel"] = 3708 }, ["render"] = "\\frac{-7025}{-18540}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1405}{3708}", ["y"] = 1405, ["z"] = 3708 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{2}{3}", ["typ"] = "cislo" }, ["render"] = "-19 + 4\\frac{2}{3}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "-19 + 4\\frac{2}{3} - 4\\frac{4}{10}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "18 + 6", ["typ"] = "plus" }, ["render"] = "(18 + 6)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{10} - (18 + 6)", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{10} - (18 + 6))", ["typ"] = "zavorka" }, ["render"] = "2\\frac{2}{5} \\cdot (3\\frac{4}{10} - (18 + 6))", ["typ"] = "krat" }, ["render"] = "\\frac{-19 + 4\\frac{2}{3} - 4\\frac{4}{10}}{2\\frac{2}{5} \\cdot (3\\frac{4}{10} - (18 + 6))}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.96, bodu=220, $$3\frac{5}{11} \cdot (4\frac{4}{8} + 12) \cdot \frac{3\frac{3}{7}}{\frac{3\frac{4}{6}}{-13}}=\textcolor{white}{-692\frac{68}{77}}$$return { ["body"] = 220, ["id"] = "CfYNw1_0209_1312", ["obtiznost"] = 1.76, ["reseni"] = { ["float"] = -692.88311688312, ["objekt"] = { ["hodnota"] = { ["citatel"] = -53352, ["jmenovatel"] = 77 }, ["render"] = "\\frac{-53352}{77}", ["typ"] = "cislo" }, ["tex"] = "-692\\frac{68}{77}", ["x"] = -692, ["y"] = 68, ["z"] = 77 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.96", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} + 12", ["typ"] = "plus" }, ["render"] = "(4\\frac{4}{8} + 12)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{6}}{-13}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{3}{7}}{\\frac{3\\frac{4}{6}}{-13}}", ["typ"] = "lomeno" }, ["render"] = "(4\\frac{4}{8} + 12) \\cdot \\frac{3\\frac{3}{7}}{\\frac{3\\frac{4}{6}}{-13}}", ["typ"] = "krat" }, ["render"] = "3\\frac{5}{11} \\cdot (4\\frac{4}{8} + 12) \\cdot \\frac{3\\frac{3}{7}}{\\frac{3\\frac{4}{6}}{-13}}", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.97, bodu=258, $$(1\frac{3}{11} + 2\frac{3}{4}) \cdot (2\frac{4}{12} - (-13) + 2\frac{4}{11} + 4\frac{5}{8} \cdot -14)=\textcolor{white}{-189\frac{545}{1936}}$$return { ["body"] = 258, ["id"] = "HiPGsI_0209_1312", ["obtiznost"] = 1.97, ["reseni"] = { ["float"] = -189.28150826446, ["objekt"] = { ["hodnota"] = { ["citatel"] = -366449, ["jmenovatel"] = 1936 }, ["render"] = "\\frac{-1099347}{5808}", ["typ"] = "cislo" }, ["tex"] = "-189\\frac{545}{1936}", ["x"] = -189, ["y"] = 545, ["z"] = 1936 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.97", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{11} + 2\\frac{3}{4}", ["typ"] = "plus" }, ["render"] = "(1\\frac{3}{11} + 2\\frac{3}{4})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{12} - (-13)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{8} \\cdot -14", ["typ"] = "krat" }, ["render"] = "2\\frac{4}{11} + 4\\frac{5}{8} \\cdot -14", ["typ"] = "plus" }, ["render"] = "2\\frac{4}{12} - (-13) + 2\\frac{4}{11} + 4\\frac{5}{8} \\cdot -14", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{12} - (-13) + 2\\frac{4}{11} + 4\\frac{5}{8} \\cdot -14)", ["typ"] = "zavorka" }, ["render"] = "(1\\frac{3}{11} + 2\\frac{3}{4}) \\cdot (2\\frac{4}{12} - (-13) + 2\\frac{4}{11} + 4\\frac{5}{8} \\cdot -14)", ["typ"] = "krat" } }

seed: oge3V8Um2wdYPufKSw6Y_0.98, bodu=243, $$\frac{3\frac{1}{7} - \frac{4\frac{3}{9}}{(\frac{-15}{-7})^2}}{2\frac{4}{9} + 2\frac{4}{10}}=\textcolor{white}{\frac{10391}{22890}}$$return { ["body"] = 243, ["id"] = "8S5Xem_0209_1312", ["obtiznost"] = 1.8896, ["reseni"] = { ["float"] = 0.45395369156837, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10391, ["jmenovatel"] = 22890 }, ["render"] = "\\frac{467595}{1030050}", ["typ"] = "cislo" }, ["tex"] = "\\frac{10391}{22890}", ["y"] = 10391, ["z"] = 22890 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{-7}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-15}{-7})^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{4\\frac{3}{9}}{(\\frac{-15}{-7})^2}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{1}{7} - \\frac{4\\frac{3}{9}}{(\\frac{-15}{-7})^2}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{9} + 2\\frac{4}{10}", ["typ"] = "plus" }, ["render"] = "\\frac{3\\frac{1}{7} - \\frac{4\\frac{3}{9}}{(\\frac{-15}{-7})^2}}{2\\frac{4}{9} + 2\\frac{4}{10}}", ["typ"] = "lomeno" } }

seed: oge3V8Um2wdYPufKSw6Y_0.99, bodu=225, $$(17 + 1\frac{4}{9}) \cdot \frac{(10 + 4\frac{3}{4}) \cdot (4\frac{2}{8} - 1\frac{1}{6})}{15}=\textcolor{white}{55\frac{2989}{3240}}$$return { ["body"] = 225, ["id"] = "vGOsxO_0209_1312", ["obtiznost"] = 1.79, ["reseni"] = { ["float"] = 55.922530864198, ["objekt"] = { ["hodnota"] = { ["citatel"] = 181189, ["jmenovatel"] = 3240 }, ["render"] = "\\frac{362378}{6480}", ["typ"] = "cislo" }, ["tex"] = "55\\frac{2989}{3240}", ["x"] = 55, ["y"] = 2989, ["z"] = 3240 }, ["seed"] = "oge3V8Um2wdYPufKSw6Y_0.99", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "17 + 1\\frac{4}{9}", ["typ"] = "plus" }, ["render"] = "(17 + 1\\frac{4}{9})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{4}", ["typ"] = "cislo" }, ["render"] = "10 + 4\\frac{3}{4}", ["typ"] = "plus" }, ["render"] = "(10 + 4\\frac{3}{4})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} - 1\\frac{1}{6}", ["typ"] = "minus" }, ["render"] = "(4\\frac{2}{8} - 1\\frac{1}{6})", ["typ"] = "zavorka" }, ["render"] = "(10 + 4\\frac{3}{4}) \\cdot (4\\frac{2}{8} - 1\\frac{1}{6})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{(10 + 4\\frac{3}{4}) \\cdot (4\\frac{2}{8} - 1\\frac{1}{6})}{15}", ["typ"] = "lomeno" }, ["render"] = "(17 + 1\\frac{4}{9}) \\cdot \\frac{(10 + 4\\frac{3}{4}) \\cdot (4\\frac{2}{8} - 1\\frac{1}{6})}{15}", ["typ"] = "krat" } }

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