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Nahodny test, priklady s rostouci obtiznosti...

seed: tk2DJlBthP0agvEhhDsa_0, bodu=26, $$(-3 - (-7))^4 + (\frac{7}{6})^3=\textcolor{white}{257\frac{127}{216}}$$return { ["body"] = 26, ["id"] = "5Tqk7G_0227_2217", ["obtiznost"] = 0.3264, ["reseni"] = { ["float"] = 257.58796296296, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55639, ["jmenovatel"] = 216 }, ["render"] = "\\frac{55639}{216}", ["typ"] = "cislo" }, ["tex"] = "257\\frac{127}{216}", ["x"] = 257, ["y"] = 127, ["z"] = 216 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-3 - (-7)", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(-3 - (-7))^4", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{6}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{7}{6})^3", ["typ"] = "mocnina" }, ["render"] = "(-3 - (-7))^4 + (\\frac{7}{6})^3", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.01, bodu=10, $$(\frac{6 - 6 + 6}{-7})^2=\textcolor{white}{\frac{36}{49}}$$return { ["body"] = 10, ["id"] = "Vd0xQg_0227_2217", ["obtiznost"] = 0.044, ["reseni"] = { ["float"] = 0.73469387755102, ["objekt"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 49 }, ["render"] = "\\frac{36}{49}", ["typ"] = "cislo" }, ["tex"] = "\\frac{36}{49}", ["y"] = 36, ["z"] = 49 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.01", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 - 6 + 6", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{6 - 6 + 6}{-7}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{6 - 6 + 6}{-7})^2", ["typ"] = "mocnina" } }

seed: tk2DJlBthP0agvEhhDsa_0.02, bodu=10, $$\frac{\frac{7}{9}}{7 + 5}=\textcolor{white}{\frac{7}{108}}$$return { ["body"] = 10, ["id"] = "AAH45v_0227_2217", ["obtiznost"] = 0.02, ["reseni"] = { ["float"] = 0.064814814814815, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 108 }, ["render"] = "\\frac{7}{108}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{108}", ["y"] = 7, ["z"] = 108 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "7 + 5", ["typ"] = "plus" }, ["render"] = "\\frac{\\frac{7}{9}}{7 + 5}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.03, bodu=5, $$7 - ((7 + (-4))^3 - (8 + 5))=\textcolor{white}{-7}$$return { ["body"] = 5, ["id"] = "7hKU0L_0227_2217", ["obtiznost"] = 0.0412, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-7}{1}", ["typ"] = "cislo" }, ["tex"] = "-7", ["tex_float"] = "-7", ["x"] = -7 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.03", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "7 + (-4)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(7 + (-4))^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "8 + 5", ["typ"] = "plus" }, ["render"] = "(8 + 5)", ["typ"] = "zavorka" }, ["render"] = "(7 + (-4))^3 - (8 + 5)", ["typ"] = "minus" }, ["render"] = "((7 + (-4))^3 - (8 + 5))", ["typ"] = "zavorka" }, ["render"] = "7 - ((7 + (-4))^3 - (8 + 5))", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.04, bodu=20, $$\frac{\frac{5}{3} + 8}{4\frac{1}{4}}=\textcolor{white}{2\frac{14}{51}}$$return { ["body"] = 20, ["id"] = "wkNJPu_0227_2217", ["obtiznost"] = 0.24, ["reseni"] = { ["float"] = 2.2745098039216, ["objekt"] = { ["hodnota"] = { ["citatel"] = 116, ["jmenovatel"] = 51 }, ["render"] = "\\frac{116}{51}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{14}{51}", ["x"] = 2, ["y"] = 14, ["z"] = 51 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.04", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{3}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{3} + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{5}{3} + 8}{4\\frac{1}{4}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.05, bodu=5, $$6 \cdot -4 \cdot -8=\textcolor{white}{192}$$return { ["body"] = 5, ["id"] = "lV3iot_0227_2217", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 192, ["jmenovatel"] = 1 }, ["render"] = "\\frac{192}{1}", ["typ"] = "cislo" }, ["tex"] = "192", ["tex_float"] = "192", ["x"] = 192 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.05", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot -8", ["typ"] = "krat" }, ["render"] = "6 \\cdot -4 \\cdot -8", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.06, bodu=5, $$(-5 - (9 + 6 + 6)) \cdot 8=\textcolor{white}{-208}$$return { ["body"] = 5, ["id"] = "1ief05_0227_2217", ["obtiznost"] = 0.06, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -208, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-208}{1}", ["typ"] = "cislo" }, ["tex"] = "-208", ["x"] = -208 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.06", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "9 + 6", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "9 + 6 + 6", ["typ"] = "plus" }, ["render"] = "(9 + 6 + 6)", ["typ"] = "zavorka" }, ["render"] = "-5 - (9 + 6 + 6)", ["typ"] = "minus" }, ["render"] = "(-5 - (9 + 6 + 6))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(-5 - (9 + 6 + 6)) \\cdot 8", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.07, bodu=22, $$(2\frac{3}{8} + 3 - 5) \cdot 4=\textcolor{white}{1{,}5}$$return { ["body"] = 22, ["id"] = "BUmi4d_0227_2217", ["obtiznost"] = 0.27, ["reseni"] = { ["float"] = 1.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "\\frac{12}{8}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{1}{2}", ["tex_float"] = "1{,}5", ["x"] = 1, ["y"] = 1, ["z"] = 2 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.07", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} + 3", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{8} + 3 - 5", ["typ"] = "minus" }, ["render"] = "(2\\frac{3}{8} + 3 - 5)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(2\\frac{3}{8} + 3 - 5) \\cdot 4", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.08, bodu=6, $$7 + 8 \cdot 7 + 5=\textcolor{white}{68}$$return { ["body"] = 6, ["id"] = "obhtP8_0227_2217", ["obtiznost"] = 0.08, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 68, ["jmenovatel"] = 1 }, ["render"] = "\\frac{68}{1}", ["typ"] = "cislo" }, ["tex"] = "68", ["tex_float"] = "68", ["x"] = 68 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.08", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 7", ["typ"] = "krat" }, ["render"] = "7 + 8 \\cdot 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "7 + 8 \\cdot 7 + 5", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.09, bodu=12, $$8 \cdot \frac{2}{-5}=\textcolor{white}{-3{,}2}$$return { ["body"] = 12, ["id"] = "y0kU17_0227_2217", ["obtiznost"] = 0.09, ["reseni"] = { ["float"] = -3.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-16}{5}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{1}{5}", ["tex_float"] = "-3{,}2", ["x"] = -3, ["y"] = 1, ["z"] = 5 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.09", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{2}{-5}", ["typ"] = "lomeno" }, ["render"] = "8 \\cdot \\frac{2}{-5}", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.1, bodu=27, $$\frac{2\frac{3}{6} \cdot 8}{(4 + 5)^2}=\textcolor{white}{\frac{20}{81}}$$return { ["body"] = 27, ["id"] = "2SU2Mk_0227_2217", ["obtiznost"] = 0.3328, ["reseni"] = { ["float"] = 0.24691358024691, ["objekt"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 81 }, ["render"] = "\\frac{20}{81}", ["typ"] = "cislo" }, ["tex"] = "\\frac{20}{81}", ["y"] = 20, ["z"] = 81 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{6} \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "4 + 5", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(4 + 5)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{2\\frac{3}{6} \\cdot 8}{(4 + 5)^2}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.11, bodu=7, $$(7 + (8 - 8)^4 \cdot 5)^2=\textcolor{white}{49}$$return { ["body"] = 7, ["id"] = "XyGzEh_0227_2217", ["obtiznost"] = 0.1304, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 1 }, ["render"] = "\\frac{49}{1}", ["typ"] = "cislo" }, ["tex"] = "49", ["tex_float"] = "49", ["x"] = 49 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.11", ["zadani"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["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"] = 4, ["render"] = "(8 - 8)^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(8 - 8)^4 \\cdot 5", ["typ"] = "krat" }, ["render"] = "7 + (8 - 8)^4 \\cdot 5", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(7 + (8 - 8)^4 \\cdot 5)^2", ["typ"] = "mocnina" } }

seed: tk2DJlBthP0agvEhhDsa_0.12, bodu=7, $$((4 - 9)^2 + 4) \cdot 10=\textcolor{white}{290}$$return { ["body"] = 7, ["id"] = "ICqBcx_0227_2217", ["obtiznost"] = 0.1304, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 290, ["jmenovatel"] = 1 }, ["render"] = "\\frac{290}{1}", ["typ"] = "cislo" }, ["tex"] = "290", ["x"] = 290 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.12", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4 - 9", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(4 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(4 - 9)^2 + 4", ["typ"] = "plus" }, ["render"] = "((4 - 9)^2 + 4)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "((4 - 9)^2 + 4) \\cdot 10", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.13, bodu=27, $$\frac{-6}{2\frac{4}{4} \cdot 3\frac{1}{3}}=\textcolor{white}{-0{,}6}$$return { ["body"] = 27, ["id"] = "QA8AtI_0227_2217", ["obtiznost"] = 0.33, ["reseni"] = { ["float"] = -0.6, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-6}{10}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{3}{5}", ["tex_float"] = "-0{,}6", ["y"] = -3, ["z"] = 5 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "2\\frac{4}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{4} \\cdot 3\\frac{1}{3}", ["typ"] = "krat" }, ["render"] = "\\frac{-6}{2\\frac{4}{4} \\cdot 3\\frac{1}{3}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.14, bodu=7, $$4 \cdot (-9 - 10) \cdot 7=\textcolor{white}{-532}$$return { ["body"] = 7, ["id"] = "fvuZTD_0227_2217", ["obtiznost"] = 0.14, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -532, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-532}{1}", ["typ"] = "cislo" }, ["tex"] = "-532", ["tex_float"] = "-532", ["x"] = -532 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.14", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["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"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "(-9 - 10) \\cdot 7", ["typ"] = "krat" }, ["render"] = "4 \\cdot (-9 - 10) \\cdot 7", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.15, bodu=28, $$-6 \cdot \frac{7}{6 + 2\frac{4}{6}}=\textcolor{white}{-4\frac{11}{13}}$$return { ["body"] = 28, ["id"] = "pcEvGV_0227_2217", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = -4.8461538461538, ["objekt"] = { ["hodnota"] = { ["citatel"] = -63, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-126}{26}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{11}{13}", ["x"] = -4, ["y"] = 11, ["z"] = 13 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.15", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "6 + 2\\frac{4}{6}", ["typ"] = "plus" }, ["render"] = "\\frac{7}{6 + 2\\frac{4}{6}}", ["typ"] = "lomeno" }, ["render"] = "-6 \\cdot \\frac{7}{6 + 2\\frac{4}{6}}", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.16, bodu=47, $$\frac{4\frac{4}{6} + 1\frac{5}{8}}{-7 + 7 + 4}=\textcolor{white}{1\frac{55}{96}}$$return { ["body"] = 47, ["id"] = "RCIBbC_0227_2217", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = 1.5729166666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 151, ["jmenovatel"] = 96 }, ["render"] = "\\frac{151}{96}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{55}{96}", ["x"] = 1, ["y"] = 55, ["z"] = 96 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{6} + 1\\frac{5}{8}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-7 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "-7 + 7 + 4", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{4}{6} + 1\\frac{5}{8}}{-7 + 7 + 4}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.17, bodu=33, $$(\frac{12 - (-11)}{(-3 + 5)^3})^2=\textcolor{white}{8\frac{17}{64}}$$return { ["body"] = 33, ["id"] = "d96HDq_0227_2217", ["obtiznost"] = 0.4108, ["reseni"] = { ["float"] = 8.265625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 529, ["jmenovatel"] = 64 }, ["render"] = "\\frac{529}{64}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{17}{64}", ["x"] = 8, ["y"] = 17, ["z"] = 64 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.17", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "12 - (-11)", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-3 + 5", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-3 + 5)^3", ["typ"] = "mocnina" }, ["render"] = "\\frac{12 - (-11)}{(-3 + 5)^3}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{12 - (-11)}{(-3 + 5)^3})^2", ["typ"] = "mocnina" } }

seed: tk2DJlBthP0agvEhhDsa_0.18, bodu=31, $$\frac{3 + 7 + 13}{4\frac{4}{8}}=\textcolor{white}{5\frac{1}{9}}$$return { ["body"] = 31, ["id"] = "S8leph_0227_2217", ["obtiznost"] = 0.38, ["reseni"] = { ["float"] = 5.1111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 9 }, ["render"] = "\\frac{46}{9}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{9}", ["x"] = 5, ["y"] = 1, ["z"] = 9 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.18", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "3 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "3 + 7 + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{3 + 7 + 13}{4\\frac{4}{8}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.19, bodu=17, $$(\frac{5}{9} + 7) \cdot 6=\textcolor{white}{45\frac{1}{3}}$$return { ["body"] = 17, ["id"] = "TJloOW_0227_2217", ["obtiznost"] = 0.19, ["reseni"] = { ["float"] = 45.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 136, ["jmenovatel"] = 3 }, ["render"] = "\\frac{408}{9}", ["typ"] = "cislo" }, ["tex"] = "45\\frac{1}{3}", ["x"] = 45, ["y"] = 1, ["z"] = 3 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.19", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{9} + 7", ["typ"] = "plus" }, ["render"] = "(\\frac{5}{9} + 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(\\frac{5}{9} + 7) \\cdot 6", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.2, bodu=18, $$\frac{\frac{-10 - 7}{13}}{-12}=\textcolor{white}{\frac{17}{156}}$$return { ["body"] = 18, ["id"] = "1wpFUv_0227_2217", ["obtiznost"] = 0.2, ["reseni"] = { ["float"] = 0.10897435897436, ["objekt"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 156 }, ["render"] = "\\frac{-17}{-156}", ["typ"] = "cislo" }, ["tex"] = "\\frac{17}{156}", ["y"] = 17, ["z"] = 156 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.2", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-10 - 7", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 - 7}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-10 - 7}{13}}{-12}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.21, bodu=18, $$\frac{11}{\frac{-5}{13} - 4}=\textcolor{white}{-2\frac{29}{57}}$$return { ["body"] = 18, ["id"] = "M5VF1F_0227_2217", ["obtiznost"] = 0.21, ["reseni"] = { ["float"] = -2.5087719298246, ["objekt"] = { ["hodnota"] = { ["citatel"] = -143, ["jmenovatel"] = 57 }, ["render"] = "\\frac{143}{-57}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{29}{57}", ["x"] = -2, ["y"] = 29, ["z"] = 57 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.21", ["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"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{13} - 4", ["typ"] = "minus" }, ["render"] = "\\frac{11}{\\frac{-5}{13} - 4}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.22, bodu=19, $$\frac{4}{\frac{3 \cdot 7}{-8}}=\textcolor{white}{-1\frac{11}{21}}$$return { ["body"] = 19, ["id"] = "v3IGPc_0227_2217", ["obtiznost"] = 0.22, ["reseni"] = { ["float"] = -1.5238095238095, ["objekt"] = { ["hodnota"] = { ["citatel"] = -32, ["jmenovatel"] = 21 }, ["render"] = "\\frac{32}{-21}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{11}{21}", ["x"] = -1, ["y"] = 11, ["z"] = 21 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.22", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{3 \\cdot 7}{-8}", ["typ"] = "lomeno" }, ["render"] = "\\frac{4}{\\frac{3 \\cdot 7}{-8}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.23, bodu=9, $$(9 \cdot (9 - 9))^4 - 6=\textcolor{white}{-6}$$return { ["body"] = 9, ["id"] = "qAMG5Z_0227_2217", ["obtiznost"] = 0.2304, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-6}{1}", ["typ"] = "cislo" }, ["tex"] = "-6", ["tex_float"] = "-6", ["x"] = -6 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.23", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "9 - 9", ["typ"] = "minus" }, ["render"] = "(9 - 9)", ["typ"] = "zavorka" }, ["render"] = "9 \\cdot (9 - 9)", ["typ"] = "krat" }, ["mocnitel"] = 4, ["render"] = "(9 \\cdot (9 - 9))^4", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(9 \\cdot (9 - 9))^4 - 6", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.24, bodu=20, $$\frac{-6 - 7 + 8}{-11} \cdot -11=\textcolor{white}{-5}$$return { ["body"] = 20, ["id"] = "gUx9tF_0227_2217", ["obtiznost"] = 0.24, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-55}{11}", ["typ"] = "cislo" }, ["tex"] = "-5", ["x"] = -5 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.24", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-6 - 7", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-6 - 7 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-6 - 7 + 8}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-6 - 7 + 8}{-11} \\cdot -11", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.25, bodu=21, $$9 + \frac{-5 + (-5)}{-7} + 5=\textcolor{white}{15\frac{3}{7}}$$return { ["body"] = 21, ["id"] = "I434vS_0227_2217", ["obtiznost"] = 0.25, ["reseni"] = { ["float"] = 15.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 108, ["jmenovatel"] = 7 }, ["render"] = "\\frac{108}{7}", ["typ"] = "cislo" }, ["tex"] = "15\\frac{3}{7}", ["x"] = 15, ["y"] = 3, ["z"] = 7 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.25", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "-5 + (-5)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-5 + (-5)}{-7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{-5 + (-5)}{-7} + 5", ["typ"] = "plus" }, ["render"] = "9 + \\frac{-5 + (-5)}{-7} + 5", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.26, bodu=21, $$7 - (9 + (-11 + \frac{-9}{-10}))=\textcolor{white}{8{,}1}$$return { ["body"] = 21, ["id"] = "iS0w6F_0227_2217", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = 8.1, ["objekt"] = { ["hodnota"] = { ["citatel"] = 81, ["jmenovatel"] = 10 }, ["render"] = "\\frac{81}{10}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{1}{10}", ["tex_float"] = "8{,}1", ["x"] = 8, ["y"] = 1, ["z"] = 10 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{-10}", ["typ"] = "lomeno" }, ["render"] = "-11 + \\frac{-9}{-10}", ["typ"] = "plus" }, ["render"] = "9 + (-11 + \\frac{-9}{-10})", ["typ"] = "plus" }, ["render"] = "(9 + (-11 + \\frac{-9}{-10}))", ["typ"] = "zavorka" }, ["render"] = "7 - (9 + (-11 + \\frac{-9}{-10}))", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.27, bodu=38, $$10 + 4\frac{4}{6} \cdot 5 - 8 + (-7)=\textcolor{white}{18\frac{1}{3}}$$return { ["body"] = 38, ["id"] = "OCnUYd_0227_2217", ["obtiznost"] = 0.47, ["reseni"] = { ["float"] = 18.333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 55, ["jmenovatel"] = 3 }, ["render"] = "\\frac{55}{3}", ["typ"] = "cislo" }, ["tex"] = "18\\frac{1}{3}", ["x"] = 18, ["y"] = 1, ["z"] = 3 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.27", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{6} \\cdot 5", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{6} \\cdot 5 - 8", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{6} \\cdot 5 - 8 + (-7)", ["typ"] = "plus" }, ["render"] = "10 + 4\\frac{4}{6} \\cdot 5 - 8 + (-7)", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.28, bodu=24, $$\frac{-7}{-8 \cdot (\frac{8}{10})^2}=\textcolor{white}{1\frac{47}{128}}$$return { ["body"] = 24, ["id"] = "9kwQZW_0227_2217", ["obtiznost"] = 0.2964, ["reseni"] = { ["float"] = 1.3671875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 175, ["jmenovatel"] = 128 }, ["render"] = "\\frac{-175}{-128}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{47}{128}", ["x"] = 1, ["y"] = 47, ["z"] = 128 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.28", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{10}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{8}{10})^2", ["typ"] = "mocnina" }, ["render"] = "-8 \\cdot (\\frac{8}{10})^2", ["typ"] = "krat" }, ["render"] = "\\frac{-7}{-8 \\cdot (\\frac{8}{10})^2}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.29, bodu=67, $$3\frac{5}{11} + 11 + 4\frac{4}{8} + (\frac{-10}{-4})^3=\textcolor{white}{34\frac{51}{88}}$$return { ["body"] = 67, ["id"] = "hvxdBH_0227_2217", ["obtiznost"] = 0.7432, ["reseni"] = { ["float"] = 34.579545454545, ["objekt"] = { ["hodnota"] = { ["citatel"] = 3043, ["jmenovatel"] = 88 }, ["render"] = "\\frac{3043}{88}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{51}{88}", ["x"] = 34, ["y"] = 51, ["z"] = 88 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.29", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "11 + 4\\frac{4}{8}", ["typ"] = "plus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{-4}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{-10}{-4})^3", ["typ"] = "mocnina" }, ["render"] = "11 + 4\\frac{4}{8} + (\\frac{-10}{-4})^3", ["typ"] = "plus" }, ["render"] = "3\\frac{5}{11} + 11 + 4\\frac{4}{8} + (\\frac{-10}{-4})^3", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.3, bodu=24, $$\frac{\frac{-8}{13} - 11}{7}=\textcolor{white}{-1\frac{60}{91}}$$return { ["body"] = 24, ["id"] = "z2Fyuv_0227_2217", ["obtiznost"] = 0.3, ["reseni"] = { ["float"] = -1.6593406593407, ["objekt"] = { ["hodnota"] = { ["citatel"] = -151, ["jmenovatel"] = 91 }, ["render"] = "\\frac{-151}{91}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{60}{91}", ["x"] = -1, ["y"] = 60, ["z"] = 91 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.3", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{13} - 11", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-8}{13} - 11}{7}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.31, bodu=25, $$\frac{-11 \cdot -7}{4 + 6}=\textcolor{white}{7{,}7}$$return { ["body"] = 25, ["id"] = "ljnbDE_0227_2217", ["obtiznost"] = 0.31, ["reseni"] = { ["float"] = 7.7, ["objekt"] = { ["hodnota"] = { ["citatel"] = 77, ["jmenovatel"] = 10 }, ["render"] = "\\frac{77}{10}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{7}{10}", ["tex_float"] = "7{,}7", ["x"] = 7, ["y"] = 7, ["z"] = 10 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.31", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "4 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{-11 \\cdot -7}{4 + 6}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.32, bodu=58, $$8 + (-10 - 9)^2 + 3\frac{1}{3} \cdot -7=\textcolor{white}{345\frac{2}{3}}$$return { ["body"] = 58, ["id"] = "cXPdY5_0227_2217", ["obtiznost"] = 0.6648, ["reseni"] = { ["float"] = 345.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1037, ["jmenovatel"] = 3 }, ["render"] = "\\frac{1037}{3}", ["typ"] = "cislo" }, ["tex"] = "345\\frac{2}{3}", ["x"] = 345, ["y"] = 2, ["z"] = 3 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.32", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["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" }, ["mocnitel"] = 2, ["render"] = "(-10 - 9)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{3} \\cdot -7", ["typ"] = "krat" }, ["render"] = "(-10 - 9)^2 + 3\\frac{1}{3} \\cdot -7", ["typ"] = "plus" }, ["render"] = "8 + (-10 - 9)^2 + 3\\frac{1}{3} \\cdot -7", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.33, bodu=27, $$\frac{4}{8 + (-9)} \cdot -7=\textcolor{white}{28}$$return { ["body"] = 27, ["id"] = "jZ8LVK_0227_2217", ["obtiznost"] = 0.33, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 28, ["jmenovatel"] = 1 }, ["render"] = "\\frac{28}{1}", ["typ"] = "cislo" }, ["tex"] = "28", ["x"] = 28 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.33", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "8 + (-9)", ["typ"] = "plus" }, ["render"] = "\\frac{4}{8 + (-9)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{8 + (-9)} \\cdot -7", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.34, bodu=45, $$\frac{\frac{4\frac{3}{8}}{14} + 10}{11}=\textcolor{white}{\frac{15}{16}}$$return { ["body"] = 45, ["id"] = "vk4R6E_0227_2217", ["obtiznost"] = 0.54, ["reseni"] = { ["float"] = 0.9375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 16 }, ["render"] = "\\frac{165}{176}", ["typ"] = "cislo" }, ["tex"] = "\\frac{15}{16}", ["y"] = 15, ["z"] = 16 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.34", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{8}}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{8}}{14} + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{4\\frac{3}{8}}{14} + 10}{11}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.35, bodu=68, $$(3\frac{4}{9} + (-11) - (1\frac{2}{6} + 10)) \cdot (9 + 14)=\textcolor{white}{-434\frac{4}{9}}$$return { ["body"] = 68, ["id"] = "zzMUzd_0227_2217", ["obtiznost"] = 0.75, ["reseni"] = { ["float"] = -434.44444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -3910, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-3910}{9}", ["typ"] = "cislo" }, ["tex"] = "-434\\frac{4}{9}", ["x"] = -434, ["y"] = 4, ["z"] = 9 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.35", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} + (-11)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} + 10", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{6} + 10)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{9} + (-11) - (1\\frac{2}{6} + 10)", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{9} + (-11) - (1\\frac{2}{6} + 10))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "9 + 14", ["typ"] = "plus" }, ["render"] = "(9 + 14)", ["typ"] = "zavorka" }, ["render"] = "(3\\frac{4}{9} + (-11) - (1\\frac{2}{6} + 10)) \\cdot (9 + 14)", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.36, bodu=47, $$12 - \frac{11 \cdot 3\frac{2}{4}}{-12}=\textcolor{white}{15\frac{5}{24}}$$return { ["body"] = 47, ["id"] = "L7ii5g_0227_2217", ["obtiznost"] = 0.56, ["reseni"] = { ["float"] = 15.208333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 365, ["jmenovatel"] = 24 }, ["render"] = "\\frac{365}{24}", ["typ"] = "cislo" }, ["tex"] = "15\\frac{5}{24}", ["x"] = 15, ["y"] = 5, ["z"] = 24 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.36", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 3\\frac{2}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{11 \\cdot 3\\frac{2}{4}}{-12}", ["typ"] = "lomeno" }, ["render"] = "12 - \\frac{11 \\cdot 3\\frac{2}{4}}{-12}", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.37, bodu=52, $$\frac{(6 + (-9))^4}{2\frac{3}{6} - 9 + 9}=\textcolor{white}{32{,}4}$$return { ["body"] = 52, ["id"] = "TVzORk_0227_2217", ["obtiznost"] = 0.6028, ["reseni"] = { ["float"] = 32.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = 162, ["jmenovatel"] = 5 }, ["render"] = "\\frac{162}{5}", ["typ"] = "cislo" }, ["tex"] = "32\\frac{2}{5}", ["tex_float"] = "32{,}4", ["x"] = 32, ["y"] = 2, ["z"] = 5 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.37", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "6 + (-9)", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(6 + (-9))^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{6} - 9", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{6} - 9 + 9", ["typ"] = "plus" }, ["render"] = "\\frac{(6 + (-9))^4}{2\\frac{3}{6} - 9 + 9}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.38, bodu=49, $$\frac{4}{-11} \cdot 1\frac{1}{5} \cdot 14=\textcolor{white}{-6\frac{6}{55}}$$return { ["body"] = 49, ["id"] = "0LMSn1_0227_2217", ["obtiznost"] = 0.58, ["reseni"] = { ["float"] = -6.1090909090909, ["objekt"] = { ["hodnota"] = { ["citatel"] = -336, ["jmenovatel"] = 55 }, ["render"] = "\\frac{-336}{55}", ["typ"] = "cislo" }, ["tex"] = "-6\\frac{6}{55}", ["x"] = -6, ["y"] = 6, ["z"] = 55 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.38", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{5} \\cdot 14", ["typ"] = "krat" }, ["render"] = "\\frac{4}{-11} \\cdot 1\\frac{1}{5} \\cdot 14", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.39, bodu=73, $$\frac{6 + 13 - 4\frac{1}{5}}{4\frac{3}{8}} - (-4)=\textcolor{white}{7\frac{67}{175}}$$return { ["body"] = 73, ["id"] = "sMQP24_0227_2217", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = 7.3828571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1292, ["jmenovatel"] = 175 }, ["render"] = "\\frac{1292}{175}", ["typ"] = "cislo" }, ["tex"] = "7\\frac{67}{175}", ["x"] = 7, ["y"] = 67, ["z"] = 175 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "13 - 4\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "6 + 13 - 4\\frac{1}{5}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{6 + 13 - 4\\frac{1}{5}}{4\\frac{3}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{6 + 13 - 4\\frac{1}{5}}{4\\frac{3}{8}} - (-4)", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.4, bodu=74, $$((4\frac{4}{6} - 4\frac{5}{7}) \cdot \frac{(8 + (-8))^2}{8})^2=\textcolor{white}{0}$$return { ["body"] = 74, ["id"] = "cZLXck_0227_2217", ["obtiznost"] = 0.8008, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{1}", ["typ"] = "cislo" }, ["tex"] = "0", ["tex_float"] = "0", ["x"] = 0 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.4", ["zadani"] = { ["c"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{6} - 4\\frac{5}{7}", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{6} - 4\\frac{5}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["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"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(8 + (-8))^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{(8 + (-8))^2}{8}", ["typ"] = "lomeno" }, ["render"] = "(4\\frac{4}{6} - 4\\frac{5}{7}) \\cdot \\frac{(8 + (-8))^2}{8}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "((4\\frac{4}{6} - 4\\frac{5}{7}) \\cdot \\frac{(8 + (-8))^2}{8})^2", ["typ"] = "mocnina" } }

seed: tk2DJlBthP0agvEhhDsa_0.41, bodu=16, $$6 \cdot (-9 - 9) \cdot 5 \cdot 9=\textcolor{white}{-4860}$$return { ["body"] = 16, ["id"] = "Zr2gHT_0227_2217", ["obtiznost"] = 0.41, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -4860, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-4860}{1}", ["typ"] = "cislo" }, ["tex"] = "-4860", ["tex_float"] = "-4860", ["x"] = -4860 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.41", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-9 - 9", ["typ"] = "minus" }, ["render"] = "(-9 - 9)", ["typ"] = "zavorka" }, ["render"] = "6 \\cdot (-9 - 9)", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 9", ["typ"] = "krat" }, ["render"] = "6 \\cdot (-9 - 9) \\cdot 5 \\cdot 9", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.42, bodu=76, $$\frac{\frac{-7}{9 - 13 \cdot 1\frac{3}{7}}}{2\frac{3}{7}}=\textcolor{white}{\frac{343}{1139}}$$return { ["body"] = 76, ["id"] = "ZMVDJO_0227_2217", ["obtiznost"] = 0.82, ["reseni"] = { ["float"] = 0.30114135206321, ["objekt"] = { ["hodnota"] = { ["citatel"] = 343, ["jmenovatel"] = 1139 }, ["render"] = "\\frac{343}{1139}", ["typ"] = "cislo" }, ["tex"] = "\\frac{343}{1139}", ["y"] = 343, ["z"] = 1139 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "13 \\cdot 1\\frac{3}{7}", ["typ"] = "krat" }, ["render"] = "9 - 13 \\cdot 1\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "\\frac{-7}{9 - 13 \\cdot 1\\frac{3}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-7}{9 - 13 \\cdot 1\\frac{3}{7}}}{2\\frac{3}{7}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.43, bodu=35, $$\frac{7}{(-14 - (-10))^2 \cdot (11 - (-8))}=\textcolor{white}{\frac{7}{304}}$$return { ["body"] = 35, ["id"] = "914pNZ_0227_2217", ["obtiznost"] = 0.4368, ["reseni"] = { ["float"] = 0.023026315789474, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 304 }, ["render"] = "\\frac{7}{304}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{304}", ["y"] = 7, ["z"] = 304 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.43", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "-14 - (-10)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-14 - (-10))^2", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "11 - (-8)", ["typ"] = "minus" }, ["render"] = "(11 - (-8))", ["typ"] = "zavorka" }, ["render"] = "(-14 - (-10))^2 \\cdot (11 - (-8))", ["typ"] = "krat" }, ["render"] = "\\frac{7}{(-14 - (-10))^2 \\cdot (11 - (-8))}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.44, bodu=57, $$(\frac{\frac{7}{\frac{7}{(12 - 10)^4}}}{2})^3=\textcolor{white}{512}$$return { ["body"] = 57, ["id"] = "qrIXNT_0227_2217", ["obtiznost"] = 0.652, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 512, ["jmenovatel"] = 1 }, ["render"] = "\\frac{512}{1}", ["typ"] = "cislo" }, ["tex"] = "512", ["tex_float"] = "512", ["x"] = 512 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.44", ["zadani"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "12 - 10", ["typ"] = "minus" }, ["mocnitel"] = 4, ["render"] = "(12 - 10)^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{7}{(12 - 10)^4}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7}{\\frac{7}{(12 - 10)^4}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{7}{\\frac{7}{(12 - 10)^4}}}{2}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{\\frac{7}{\\frac{7}{(12 - 10)^4}}}{2})^3", ["typ"] = "mocnina" } }

seed: tk2DJlBthP0agvEhhDsa_0.45, bodu=80, $$\frac{4\frac{1}{3} + 2\frac{5}{10} - (-8) + 13}{9} \cdot 11=\textcolor{white}{34\frac{1}{54}}$$return { ["body"] = 80, ["id"] = "5c4qVQ_0227_2217", ["obtiznost"] = 0.85, ["reseni"] = { ["float"] = 34.018518518519, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1837, ["jmenovatel"] = 54 }, ["render"] = "\\frac{1837}{54}", ["typ"] = "cislo" }, ["tex"] = "34\\frac{1}{54}", ["x"] = 34, ["y"] = 1, ["z"] = 54 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} - (-8)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} - (-8) + 13", ["typ"] = "plus" }, ["render"] = "4\\frac{1}{3} + 2\\frac{5}{10} - (-8) + 13", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{3} + 2\\frac{5}{10} - (-8) + 13}{9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{3} + 2\\frac{5}{10} - (-8) + 13}{9} \\cdot 11", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.46, bodu=81, $$\frac{12}{15 \cdot 1\frac{3}{7} - (1\frac{2}{6} - 16)}=\textcolor{white}{\frac{126}{379}}$$return { ["body"] = 81, ["id"] = "AbmCWP_0227_2217", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = 0.33245382585752, ["objekt"] = { ["hodnota"] = { ["citatel"] = 126, ["jmenovatel"] = 379 }, ["render"] = "\\frac{252}{758}", ["typ"] = "cislo" }, ["tex"] = "\\frac{126}{379}", ["y"] = 126, ["z"] = 379 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.46", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "15 \\cdot 1\\frac{3}{7}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} - 16", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{6} - 16)", ["typ"] = "zavorka" }, ["render"] = "15 \\cdot 1\\frac{3}{7} - (1\\frac{2}{6} - 16)", ["typ"] = "minus" }, ["render"] = "\\frac{12}{15 \\cdot 1\\frac{3}{7} - (1\\frac{2}{6} - 16)}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.47, bodu=59, $$\frac{1\frac{5}{7}}{\frac{15}{\frac{15}{7}}}=\textcolor{white}{\frac{12}{49}}$$return { ["body"] = 59, ["id"] = "nPFhkG_0227_2217", ["obtiznost"] = 0.67, ["reseni"] = { ["float"] = 0.24489795918367, ["objekt"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 49 }, ["render"] = "\\frac{12}{49}", ["typ"] = "cislo" }, ["tex"] = "\\frac{12}{49}", ["y"] = 12, ["z"] = 49 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["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" }, ["render"] = "\\frac{15}{\\frac{15}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{5}{7}}{\\frac{15}{\\frac{15}{7}}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.48, bodu=53, $$\frac{(4 + (-11))^3}{10} \cdot 8 - 17=\textcolor{white}{-291{,}4}$$return { ["body"] = 53, ["id"] = "2m528Y_0227_2217", ["obtiznost"] = 0.6176, ["reseni"] = { ["float"] = -291.4, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1457, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-1457}{5}", ["typ"] = "cislo" }, ["tex"] = "-291\\frac{2}{5}", ["tex_float"] = "-291{,}4", ["x"] = -291, ["y"] = 2, ["z"] = 5 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "4 + (-11)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(4 + (-11))^3", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{(4 + (-11))^3}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{(4 + (-11))^3}{10} \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{(4 + (-11))^3}{10} \\cdot 8 - 17", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.49, bodu=41, $$((-11 + 10)^2 + (-4))^2 - \frac{3}{6 - (-15)}=\textcolor{white}{8\frac{6}{7}}$$return { ["body"] = 41, ["id"] = "eFiumZ_0227_2217", ["obtiznost"] = 0.4948, ["reseni"] = { ["float"] = 8.8571428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = 62, ["jmenovatel"] = 7 }, ["render"] = "\\frac{62}{7}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{6}{7}", ["x"] = 8, ["y"] = 6, ["z"] = 7 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.49", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-11 + 10", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(-11 + 10)^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "(-11 + 10)^2 + (-4)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "((-11 + 10)^2 + (-4))^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "6 - (-15)", ["typ"] = "minus" }, ["render"] = "\\frac{3}{6 - (-15)}", ["typ"] = "lomeno" }, ["render"] = "((-11 + 10)^2 + (-4))^2 - \\frac{3}{6 - (-15)}", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.5, bodu=62, $$11 \cdot \frac{-8}{2\frac{4}{7} \cdot -6}=\textcolor{white}{5\frac{19}{27}}$$return { ["body"] = 62, ["id"] = "qtwfVq_0227_2217", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = 5.7037037037037, ["objekt"] = { ["hodnota"] = { ["citatel"] = 154, ["jmenovatel"] = 27 }, ["render"] = "\\frac{154}{27}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{19}{27}", ["x"] = 5, ["y"] = 19, ["z"] = 27 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.5", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{7} \\cdot -6", ["typ"] = "krat" }, ["render"] = "\\frac{-8}{2\\frac{4}{7} \\cdot -6}", ["typ"] = "lomeno" }, ["render"] = "11 \\cdot \\frac{-8}{2\\frac{4}{7} \\cdot -6}", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.51, bodu=70, $$(14 + 7 - (9 - 11)^4)^3 \cdot (-14 - 3\frac{2}{5})=\textcolor{white}{-2175}$$return { ["body"] = 70, ["id"] = "bFUGQj_0227_2217", ["obtiznost"] = 0.7672, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -2175, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-10875}{5}", ["typ"] = "cislo" }, ["tex"] = "-2175", ["x"] = -2175 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.51", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "14 + 7", ["typ"] = "plus" }, ["c2"] = { ["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"] = 4, ["render"] = "(9 - 11)^4", ["typ"] = "mocnina" }, ["render"] = "14 + 7 - (9 - 11)^4", ["typ"] = "minus" }, ["mocnitel"] = 3, ["render"] = "(14 + 7 - (9 - 11)^4)^3", ["typ"] = "mocnina" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "-14 - 3\\frac{2}{5}", ["typ"] = "minus" }, ["render"] = "(-14 - 3\\frac{2}{5})", ["typ"] = "zavorka" }, ["render"] = "(14 + 7 - (9 - 11)^4)^3 \\cdot (-14 - 3\\frac{2}{5})", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.52, bodu=21, $$(8 + (-14 \cdot -6)) \cdot 2 \cdot 10=\textcolor{white}{1840}$$return { ["body"] = 21, ["id"] = "avJCB2_0227_2217", ["obtiznost"] = 0.52, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 1840, ["jmenovatel"] = 1 }, ["render"] = "\\frac{1840}{1}", ["typ"] = "cislo" }, ["tex"] = "1840", ["x"] = 1840 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.52", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot -6", ["typ"] = "krat" }, ["render"] = "8 + (-14 \\cdot -6)", ["typ"] = "plus" }, ["render"] = "(8 + (-14 \\cdot -6))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "2 \\cdot 10", ["typ"] = "krat" }, ["render"] = "(8 + (-14 \\cdot -6)) \\cdot 2 \\cdot 10", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.53, bodu=45, $$\frac{(\frac{10}{5})^3}{\frac{10}{-15}}=\textcolor{white}{-12}$$return { ["body"] = 45, ["id"] = "kaZCxe_0227_2217", ["obtiznost"] = 0.5336, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "\\frac{24}{-2}", ["typ"] = "cislo" }, ["tex"] = "-12", ["tex_float"] = "-12", ["x"] = -12 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.53", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{5}", ["typ"] = "lomeno" }, ["mocnitel"] = 3, ["render"] = "(\\frac{10}{5})^3", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-15}", ["typ"] = "lomeno" }, ["render"] = "\\frac{(\\frac{10}{5})^3}{\\frac{10}{-15}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.54, bodu=74, $$-5 \cdot (4\frac{4}{7} + (\frac{-6}{11})^2 - 7)=\textcolor{white}{10\frac{555}{847}}$$return { ["body"] = 74, ["id"] = "N9v57l_0227_2217", ["obtiznost"] = 0.8028, ["reseni"] = { ["float"] = 10.655253837072, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9025, ["jmenovatel"] = 847 }, ["render"] = "\\frac{9025}{847}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{555}{847}", ["x"] = 10, ["y"] = 555, ["z"] = 847 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.54", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{-6}{11}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{-6}{11})^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{4}{7} + (\\frac{-6}{11})^2", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{7} + (\\frac{-6}{11})^2 - 7", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{7} + (\\frac{-6}{11})^2 - 7)", ["typ"] = "zavorka" }, ["render"] = "-5 \\cdot (4\\frac{4}{7} + (\\frac{-6}{11})^2 - 7)", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.55, bodu=93, $$(-8 \cdot 13 + 3\frac{5}{10}) \cdot 3\frac{2}{4} \cdot -14=\textcolor{white}{4924{,}5}$$return { ["body"] = 93, ["id"] = "QsF1RA_0227_2217", ["obtiznost"] = 0.95, ["reseni"] = { ["float"] = 4924.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 9849, ["jmenovatel"] = 2 }, ["render"] = "\\frac{9849}{2}", ["typ"] = "cislo" }, ["tex"] = "4924\\frac{1}{2}", ["tex_float"] = "4924{,}5", ["x"] = 4924, ["y"] = 1, ["z"] = 2 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.55", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot 13 + 3\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "(-8 \\cdot 13 + 3\\frac{5}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{4} \\cdot -14", ["typ"] = "krat" }, ["render"] = "(-8 \\cdot 13 + 3\\frac{5}{10}) \\cdot 3\\frac{2}{4} \\cdot -14", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.56, bodu=69, $$\frac{4\frac{4}{11} \cdot 6}{10 + 7 + 6}=\textcolor{white}{1\frac{35}{253}}$$return { ["body"] = 69, ["id"] = "JdzilT_0227_2217", ["obtiznost"] = 0.76, ["reseni"] = { ["float"] = 1.1383399209486, ["objekt"] = { ["hodnota"] = { ["citatel"] = 288, ["jmenovatel"] = 253 }, ["render"] = "\\frac{288}{253}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{35}{253}", ["x"] = 1, ["y"] = 35, ["z"] = 253 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{11} \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "10 + 7", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "10 + 7 + 6", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{4}{11} \\cdot 6}{10 + 7 + 6}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.57, bodu=95, $$\frac{2\frac{3}{9}}{13 + (-8) + 1\frac{1}{6}} \cdot (13 + 9)=\textcolor{white}{8\frac{12}{37}}$$return { ["body"] = 95, ["id"] = "XsIFLG_0227_2217", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = 8.3243243243243, ["objekt"] = { ["hodnota"] = { ["citatel"] = 308, ["jmenovatel"] = 37 }, ["render"] = "\\frac{308}{37}", ["typ"] = "cislo" }, ["tex"] = "8\\frac{12}{37}", ["x"] = 8, ["y"] = 12, ["z"] = 37 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "13 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "13 + (-8) + 1\\frac{1}{6}", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{3}{9}}{13 + (-8) + 1\\frac{1}{6}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "13 + 9", ["typ"] = "plus" }, ["render"] = "(13 + 9)", ["typ"] = "zavorka" }, ["render"] = "\\frac{2\\frac{3}{9}}{13 + (-8) + 1\\frac{1}{6}} \\cdot (13 + 9)", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.58, bodu=71, $$\frac{\frac{5}{-11}}{11 \cdot 1\frac{1}{8} - (-5)}=\textcolor{white}{-\frac{40}{1529}}$$return { ["body"] = 71, ["id"] = "3elUVz_0227_2217", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = -0.026160889470242, ["objekt"] = { ["hodnota"] = { ["citatel"] = -40, ["jmenovatel"] = 1529 }, ["render"] = "\\frac{-40}{1529}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{40}{1529}", ["y"] = -40, ["z"] = 1529 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.58", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{5}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 1\\frac{1}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 1\\frac{1}{8} - (-5)", ["typ"] = "minus" }, ["render"] = "\\frac{\\frac{5}{-11}}{11 \\cdot 1\\frac{1}{8} - (-5)}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.59, bodu=73, $$-10 \cdot (6 + 2\frac{4}{8} - (-19 \cdot -18))=\textcolor{white}{3335}$$return { ["body"] = 73, ["id"] = "IOQapY_0227_2217", ["obtiznost"] = 0.79, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 3335, ["jmenovatel"] = 1 }, ["render"] = "\\frac{6670}{2}", ["typ"] = "cislo" }, ["tex"] = "3335", ["tex_float"] = "3335", ["x"] = 3335 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.59", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "6 + 2\\frac{4}{8}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "-19 \\cdot -18", ["typ"] = "krat" }, ["render"] = "6 + 2\\frac{4}{8} - (-19 \\cdot -18)", ["typ"] = "minus" }, ["render"] = "(6 + 2\\frac{4}{8} - (-19 \\cdot -18))", ["typ"] = "zavorka" }, ["render"] = "-10 \\cdot (6 + 2\\frac{4}{8} - (-19 \\cdot -18))", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.6, bodu=58, $$\frac{(18 - 8)^2}{(18 + (-10))^2} \cdot (-12 - 9)=\textcolor{white}{-32\frac{13}{16}}$$return { ["body"] = 58, ["id"] = "bxgeR9_0227_2217", ["obtiznost"] = 0.6664, ["reseni"] = { ["float"] = -32.8125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -525, ["jmenovatel"] = 16 }, ["render"] = "\\frac{-525}{16}", ["typ"] = "cislo" }, ["tex"] = "-32\\frac{13}{16}", ["x"] = -32, ["y"] = 13, ["z"] = 16 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "18 - 8", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(18 - 8)^2", ["typ"] = "mocnina" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "18 + (-10)", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(18 + (-10))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{(18 - 8)^2}{(18 + (-10))^2}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "-12 - 9", ["typ"] = "minus" }, ["render"] = "(-12 - 9)", ["typ"] = "zavorka" }, ["render"] = "\\frac{(18 - 8)^2}{(18 + (-10))^2} \\cdot (-12 - 9)", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.61, bodu=101, $$2\frac{3}{10} + 7 - \frac{-6}{4\frac{2}{8} - 14 - (-12)}=\textcolor{white}{11\frac{29}{30}}$$return { ["body"] = 101, ["id"] = "wA5bHp_0227_2217", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = 11.966666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 359, ["jmenovatel"] = 30 }, ["render"] = "\\frac{359}{30}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{29}{30}", ["x"] = 11, ["y"] = 29, ["z"] = 30 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.61", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{10} + 7", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} - 14", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{8} - 14 - (-12)", ["typ"] = "minus" }, ["render"] = "\\frac{-6}{4\\frac{2}{8} - 14 - (-12)}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{3}{10} + 7 - \\frac{-6}{4\\frac{2}{8} - 14 - (-12)}", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.62, bodu=69, $$\frac{16}{(\frac{-16}{12})^4} + 3 \cdot 11=\textcolor{white}{38\frac{1}{16}}$$return { ["body"] = 69, ["id"] = "inh9G7_0227_2217", ["obtiznost"] = 0.7548, ["reseni"] = { ["float"] = 38.0625, ["objekt"] = { ["hodnota"] = { ["citatel"] = 609, ["jmenovatel"] = 16 }, ["render"] = "\\frac{609}{16}", ["typ"] = "cislo" }, ["tex"] = "38\\frac{1}{16}", ["x"] = 38, ["y"] = 1, ["z"] = 16 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{12}", ["typ"] = "lomeno" }, ["mocnitel"] = 4, ["render"] = "(\\frac{-16}{12})^4", ["typ"] = "mocnina" }, ["render"] = "\\frac{16}{(\\frac{-16}{12})^4}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 11", ["typ"] = "krat" }, ["render"] = "\\frac{16}{(\\frac{-16}{12})^4} + 3 \\cdot 11", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.63, bodu=78, $$\frac{-15 \cdot 7 - \frac{-16}{5}}{4\frac{1}{5}}=\textcolor{white}{-24\frac{5}{21}}$$return { ["body"] = 78, ["id"] = "xQWood_0227_2217", ["obtiznost"] = 0.83, ["reseni"] = { ["float"] = -24.238095238095, ["objekt"] = { ["hodnota"] = { ["citatel"] = -509, ["jmenovatel"] = 21 }, ["render"] = "\\frac{-2545}{105}", ["typ"] = "cislo" }, ["tex"] = "-24\\frac{5}{21}", ["x"] = -24, ["y"] = 5, ["z"] = 21 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-15 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{-16}{5}", ["typ"] = "lomeno" }, ["render"] = "-15 \\cdot 7 - \\frac{-16}{5}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15 \\cdot 7 - \\frac{-16}{5}}{4\\frac{1}{5}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.64, bodu=134, $$9 \cdot 1\frac{1}{3} \cdot -16 - (1\frac{1}{9} + 2\frac{5}{11} - 15)=\textcolor{white}{-180\frac{56}{99}}$$return { ["body"] = 134, ["id"] = "J8MoNg_0227_2217", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = -180.56565656566, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17876, ["jmenovatel"] = 99 }, ["render"] = "\\frac{-17876}{99}", ["typ"] = "cislo" }, ["tex"] = "-180\\frac{56}{99}", ["x"] = -180, ["y"] = 56, ["z"] = 99 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.64", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{3} \\cdot -16", ["typ"] = "krat" }, ["render"] = "9 \\cdot 1\\frac{1}{3} \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} + 2\\frac{5}{11}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{9} + 2\\frac{5}{11} - 15", ["typ"] = "minus" }, ["render"] = "(1\\frac{1}{9} + 2\\frac{5}{11} - 15)", ["typ"] = "zavorka" }, ["render"] = "9 \\cdot 1\\frac{1}{3} \\cdot -16 - (1\\frac{1}{9} + 2\\frac{5}{11} - 15)", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.65, bodu=85, $$\frac{(-5 + (-4 - (-17) + (-11))^3)^4}{14 \cdot 1\frac{1}{8}}=\textcolor{white}{5\frac{1}{7}}$$return { ["body"] = 85, ["id"] = "HMreWM_0227_2217", ["obtiznost"] = 0.8864, ["reseni"] = { ["float"] = 5.1428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 7 }, ["render"] = "\\frac{324}{63}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{7}", ["x"] = 5, ["y"] = 1, ["z"] = 7 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.65", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "-4 - (-17)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "-4 - (-17) + (-11)", ["typ"] = "plus" }, ["mocnitel"] = 3, ["render"] = "(-4 - (-17) + (-11))^3", ["typ"] = "mocnina" }, ["render"] = "-5 + (-4 - (-17) + (-11))^3", ["typ"] = "plus" }, ["mocnitel"] = 4, ["render"] = "(-5 + (-4 - (-17) + (-11))^3)^4", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "14 \\cdot 1\\frac{1}{8}", ["typ"] = "krat" }, ["render"] = "\\frac{(-5 + (-4 - (-17) + (-11))^3)^4}{14 \\cdot 1\\frac{1}{8}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.66, bodu=93, $$(\frac{10}{1\frac{2}{6}})^2 + (-11 \cdot 15 \cdot -11)=\textcolor{white}{1871{,}25}$$return { ["body"] = 93, ["id"] = "yGVBR5_0227_2217", ["obtiznost"] = 0.9516, ["reseni"] = { ["float"] = 1871.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7485, ["jmenovatel"] = 4 }, ["render"] = "\\frac{7485}{4}", ["typ"] = "cislo" }, ["tex"] = "1871\\frac{1}{4}", ["tex_float"] = "1871{,}25", ["x"] = 1871, ["y"] = 1, ["z"] = 4 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.66", ["zadani"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{1\\frac{2}{6}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{10}{1\\frac{2}{6}})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "15 \\cdot -11", ["typ"] = "krat" }, ["render"] = "-11 \\cdot 15 \\cdot -11", ["typ"] = "krat" }, ["render"] = "(\\frac{10}{1\\frac{2}{6}})^2 + (-11 \\cdot 15 \\cdot -11)", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.67, bodu=132, $$\frac{-14}{-10 - 4\frac{1}{8}} + 2 - (15 - (-15))^2=\textcolor{white}{-897\frac{1}{113}}$$return { ["body"] = 132, ["id"] = "hJtxqF_0227_2217", ["obtiznost"] = 1.2304, ["reseni"] = { ["float"] = -897.00884955752, ["objekt"] = { ["hodnota"] = { ["citatel"] = -101362, ["jmenovatel"] = 113 }, ["render"] = "\\frac{-101362}{113}", ["typ"] = "cislo" }, ["tex"] = "-897\\frac{1}{113}", ["x"] = -897, ["y"] = 1, ["z"] = 113 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "-10 - 4\\frac{1}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{-14}{-10 - 4\\frac{1}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 2, ["jmenovatel"] = 1 }, ["render"] = "2", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "15 - (-15)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(15 - (-15))^2", ["typ"] = "mocnina" }, ["render"] = "2 - (15 - (-15))^2", ["typ"] = "minus" }, ["render"] = "\\frac{-14}{-10 - 4\\frac{1}{8}} + 2 - (15 - (-15))^2", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.68, bodu=111, $$\frac{3 \cdot 3\frac{3}{11} \cdot 18 + 3\frac{1}{7}}{13}=\textcolor{white}{13\frac{837}{1001}}$$return { ["body"] = 111, ["id"] = "73hu7M_0227_2217", ["obtiznost"] = 1.08, ["reseni"] = { ["float"] = 13.836163836164, ["objekt"] = { ["hodnota"] = { ["citatel"] = 13850, ["jmenovatel"] = 1001 }, ["render"] = "\\frac{13850}{1001}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{837}{1001}", ["x"] = 13, ["y"] = 837, ["z"] = 1001 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.68", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 3\\frac{3}{11}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 3\\frac{3}{11} \\cdot 18", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "3 \\cdot 3\\frac{3}{11} \\cdot 18 + 3\\frac{1}{7}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{3 \\cdot 3\\frac{3}{11} \\cdot 18 + 3\\frac{1}{7}}{13}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.69, bodu=30, $$(-13 - 13) \cdot (6 - (-18)) \cdot (-13 - 10)=\textcolor{white}{14352}$$return { ["body"] = 30, ["id"] = "vKykVT_0227_2217", ["obtiznost"] = 0.69, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 14352, ["jmenovatel"] = 1 }, ["render"] = "\\frac{14352}{1}", ["typ"] = "cislo" }, ["tex"] = "14352", ["x"] = 14352 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.69", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-13 - 13", ["typ"] = "minus" }, ["render"] = "(-13 - 13)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "6 - (-18)", ["typ"] = "minus" }, ["render"] = "(6 - (-18))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "-13 - 10", ["typ"] = "minus" }, ["render"] = "(-13 - 10)", ["typ"] = "zavorka" }, ["render"] = "(6 - (-18)) \\cdot (-13 - 10)", ["typ"] = "krat" }, ["render"] = "(-13 - 13) \\cdot (6 - (-18)) \\cdot (-13 - 10)", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.7, bodu=143, $$\frac{-8 - \frac{3\frac{5}{11}}{-4}}{\frac{4\frac{4}{11}}{3\frac{3}{7}}}=\textcolor{white}{-5\frac{17}{28}}$$return { ["body"] = 143, ["id"] = "wslg9a_0227_2217", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = -5.6071428571429, ["objekt"] = { ["hodnota"] = { ["citatel"] = -157, ["jmenovatel"] = 28 }, ["render"] = "\\frac{-1727}{308}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{17}{28}", ["x"] = -5, ["y"] = 17, ["z"] = 28 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{11}}{-4}", ["typ"] = "lomeno" }, ["render"] = "-8 - \\frac{3\\frac{5}{11}}{-4}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{4}{11}}{3\\frac{3}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-8 - \\frac{3\\frac{5}{11}}{-4}}{\\frac{4\\frac{4}{11}}{3\\frac{3}{7}}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.71, bodu=144, $$(-12 \cdot -16 - (-12 + 1\frac{5}{11})) \cdot (4\frac{1}{6} + 1\frac{5}{9})=\textcolor{white}{1159\frac{1}{99}}$$return { ["body"] = 144, ["id"] = "erUahb_0227_2217", ["obtiznost"] = 1.31, ["reseni"] = { ["float"] = 1159.0101010101, ["objekt"] = { ["hodnota"] = { ["citatel"] = 114742, ["jmenovatel"] = 99 }, ["render"] = "\\frac{229484}{198}", ["typ"] = "cislo" }, ["tex"] = "1159\\frac{1}{99}", ["x"] = 1159, ["y"] = 1, ["z"] = 99 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.71", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot -16", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "-12 + 1\\frac{5}{11}", ["typ"] = "plus" }, ["render"] = "(-12 + 1\\frac{5}{11})", ["typ"] = "zavorka" }, ["render"] = "-12 \\cdot -16 - (-12 + 1\\frac{5}{11})", ["typ"] = "minus" }, ["render"] = "(-12 \\cdot -16 - (-12 + 1\\frac{5}{11}))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "4\\frac{1}{6} + 1\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "(4\\frac{1}{6} + 1\\frac{5}{9})", ["typ"] = "zavorka" }, ["render"] = "(-12 \\cdot -16 - (-12 + 1\\frac{5}{11})) \\cdot (4\\frac{1}{6} + 1\\frac{5}{9})", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.72, bodu=146, $$2\frac{1}{6} - (-14 + \frac{-5}{4\frac{4}{12}}) \cdot 14 - 1\frac{4}{6}=\textcolor{white}{212\frac{17}{26}}$$return { ["body"] = 146, ["id"] = "y6YAf9_0227_2217", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = 212.65384615385, ["objekt"] = { ["hodnota"] = { ["citatel"] = 5529, ["jmenovatel"] = 26 }, ["render"] = "\\frac{49761}{234}", ["typ"] = "cislo" }, ["tex"] = "212\\frac{17}{26}", ["x"] = 212, ["y"] = 17, ["z"] = 26 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{4\\frac{4}{12}}", ["typ"] = "lomeno" }, ["render"] = "-14 + \\frac{-5}{4\\frac{4}{12}}", ["typ"] = "plus" }, ["render"] = "(-14 + \\frac{-5}{4\\frac{4}{12}})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(-14 + \\frac{-5}{4\\frac{4}{12}}) \\cdot 14", ["typ"] = "krat" }, ["render"] = "2\\frac{1}{6} - (-14 + \\frac{-5}{4\\frac{4}{12}}) \\cdot 14", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} - (-14 + \\frac{-5}{4\\frac{4}{12}}) \\cdot 14 - 1\\frac{4}{6}", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.73, bodu=148, $$-17 + 1\frac{5}{11} \cdot (8 - (3\frac{4}{11} + \frac{3\frac{3}{8}}{14}))=\textcolor{white}{-10\frac{514}{847}}$$return { ["body"] = 148, ["id"] = "IjMrg0_0227_2217", ["obtiznost"] = 1.33, ["reseni"] = { ["float"] = -10.606847697757, ["objekt"] = { ["hodnota"] = { ["citatel"] = -8984, ["jmenovatel"] = 847 }, ["render"] = "\\frac{-8984}{847}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{514}{847}", ["x"] = -10, ["y"] = 514, ["z"] = 847 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.73", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{3}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{3}{8}}{14}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{4}{11} + \\frac{3\\frac{3}{8}}{14}", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{11} + \\frac{3\\frac{3}{8}}{14})", ["typ"] = "zavorka" }, ["render"] = "8 - (3\\frac{4}{11} + \\frac{3\\frac{3}{8}}{14})", ["typ"] = "minus" }, ["render"] = "(8 - (3\\frac{4}{11} + \\frac{3\\frac{3}{8}}{14}))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{5}{11} \\cdot (8 - (3\\frac{4}{11} + \\frac{3\\frac{3}{8}}{14}))", ["typ"] = "krat" }, ["render"] = "-17 + 1\\frac{5}{11} \\cdot (8 - (3\\frac{4}{11} + \\frac{3\\frac{3}{8}}{14}))", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.74, bodu=92, $$\frac{-18}{\frac{1\frac{5}{12}}{-10}} - (-16 - (-13))^2=\textcolor{white}{118\frac{1}{17}}$$return { ["body"] = 92, ["id"] = "F6ojWz_0227_2217", ["obtiznost"] = 0.944, ["reseni"] = { ["float"] = 118.05882352941, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2007, ["jmenovatel"] = 17 }, ["render"] = "\\frac{2007}{17}", ["typ"] = "cislo" }, ["tex"] = "118\\frac{1}{17}", ["x"] = 118, ["y"] = 1, ["z"] = 17 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{12}}{-10}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-18}{\\frac{1\\frac{5}{12}}{-10}}", ["typ"] = "lomeno" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "-16 - (-13)", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(-16 - (-13))^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-18}{\\frac{1\\frac{5}{12}}{-10}} - (-16 - (-13))^2", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.75, bodu=68, $$\frac{-11 \cdot -18 \cdot -9 - (-12)}{15}=\textcolor{white}{-118}$$return { ["body"] = 68, ["id"] = "7lkMq9_0227_2217", ["obtiznost"] = 0.75, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -118, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1770}{15}", ["typ"] = "cislo" }, ["tex"] = "-118", ["x"] = -118 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.75", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["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"] = "-11 \\cdot -18 \\cdot -9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot -18 \\cdot -9 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{-11 \\cdot -18 \\cdot -9 - (-12)}{15}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.76, bodu=152, $$(12 + 4\frac{5}{13}) \cdot 8 + \frac{3\frac{5}{13}}{13 - 1\frac{4}{8}}=\textcolor{white}{131\frac{111}{299}}$$return { ["body"] = 152, ["id"] = "VZW77J_0227_2217", ["obtiznost"] = 1.36, ["reseni"] = { ["float"] = 131.37123745819, ["objekt"] = { ["hodnota"] = { ["citatel"] = 39280, ["jmenovatel"] = 299 }, ["render"] = "\\frac{510640}{3887}", ["typ"] = "cislo" }, ["tex"] = "131\\frac{111}{299}", ["x"] = 131, ["y"] = 111, ["z"] = 299 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.76", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 57, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{5}{13}", ["typ"] = "cislo" }, ["render"] = "12 + 4\\frac{5}{13}", ["typ"] = "plus" }, ["render"] = "(12 + 4\\frac{5}{13})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "(12 + 4\\frac{5}{13}) \\cdot 8", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 44, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{5}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "13 - 1\\frac{4}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{3\\frac{5}{13}}{13 - 1\\frac{4}{8}}", ["typ"] = "lomeno" }, ["render"] = "(12 + 4\\frac{5}{13}) \\cdot 8 + \\frac{3\\frac{5}{13}}{13 - 1\\frac{4}{8}}", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.77, bodu=154, $$\frac{5 \cdot 1\frac{3}{6} \cdot 4\frac{3}{8} \cdot 17}{3\frac{2}{4}}=\textcolor{white}{159{,}375}$$return { ["body"] = 154, ["id"] = "1HiJsu_0227_2217", ["obtiznost"] = 1.37, ["reseni"] = { ["float"] = 159.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1275, ["jmenovatel"] = 8 }, ["render"] = "\\frac{17850}{112}", ["typ"] = "cislo" }, ["tex"] = "159\\frac{3}{8}", ["tex_float"] = "159{,}375", ["x"] = 159, ["y"] = 3, ["z"] = 8 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{3}{6} \\cdot 4\\frac{3}{8}", ["typ"] = "krat" }, ["render"] = "5 \\cdot 1\\frac{3}{6} \\cdot 4\\frac{3}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 1\\frac{3}{6} \\cdot 4\\frac{3}{8} \\cdot 17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{5 \\cdot 1\\frac{3}{6} \\cdot 4\\frac{3}{8} \\cdot 17}{3\\frac{2}{4}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.78, bodu=125, $$\frac{-5 \cdot 14}{1\frac{1}{5}} \cdot (15 - 3\frac{3}{9})=\textcolor{white}{-680\frac{5}{9}}$$return { ["body"] = 125, ["id"] = "EsXNKz_0227_2217", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = -680.55555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = -6125, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-6125}{9}", ["typ"] = "cislo" }, ["tex"] = "-680\\frac{5}{9}", ["x"] = -680, ["y"] = 5, ["z"] = 9 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.78", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "-5 \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-5 \\cdot 14}{1\\frac{1}{5}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "15 - 3\\frac{3}{9}", ["typ"] = "minus" }, ["render"] = "(15 - 3\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "\\frac{-5 \\cdot 14}{1\\frac{1}{5}} \\cdot (15 - 3\\frac{3}{9})", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.79, bodu=190, $$\frac{3\frac{5}{12}}{2\frac{3}{8}} \cdot 3\frac{3}{13} \cdot \frac{22}{2\frac{1}{10}}=\textcolor{white}{48\frac{512}{741}}$$return { ["body"] = 190, ["id"] = "4Vf4HI_0227_2217", ["obtiznost"] = 1.59, ["reseni"] = { ["float"] = 48.690958164642, ["objekt"] = { ["hodnota"] = { ["citatel"] = 36080, ["jmenovatel"] = 741 }, ["render"] = "\\frac{36080}{741}", ["typ"] = "cislo" }, ["tex"] = "48\\frac{512}{741}", ["x"] = 48, ["y"] = 512, ["z"] = 741 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.79", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 41, ["jmenovatel"] = 12 }, ["render"] = "3\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{5}{12}}{2\\frac{3}{8}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{3}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 1 }, ["render"] = "22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{22}{2\\frac{1}{10}}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{3}{13} \\cdot \\frac{22}{2\\frac{1}{10}}", ["typ"] = "krat" }, ["render"] = "\\frac{3\\frac{5}{12}}{2\\frac{3}{8}} \\cdot 3\\frac{3}{13} \\cdot \\frac{22}{2\\frac{1}{10}}", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.8, bodu=100, $$\frac{18}{\frac{\frac{\frac{3\frac{1}{3}}{17}}{-14}}{11}}=\textcolor{white}{-14137{,}2}$$return { ["body"] = 100, ["id"] = "g6PMB9_0227_2217", ["obtiznost"] = 1, ["reseni"] = { ["float"] = -14137.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -70686, ["jmenovatel"] = 5 }, ["render"] = "\\frac{70686}{-5}", ["typ"] = "cislo" }, ["tex"] = "-14137\\frac{1}{5}", ["tex_float"] = "-14137{,}2", ["x"] = -14137, ["y"] = 1, ["z"] = 5 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.8", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{3}}{17}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{1}{3}}{17}}{-14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{\\frac{3\\frac{1}{3}}{17}}{-14}}{11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{18}{\\frac{\\frac{\\frac{3\\frac{1}{3}}{17}}{-14}}{11}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.81, bodu=193, $$7 + 1\frac{5}{9} - 2\frac{2}{5} - 2\frac{2}{9} - \frac{-14 - 4\frac{3}{9}}{-8}=\textcolor{white}{1\frac{77}{120}}$$return { ["body"] = 193, ["id"] = "rV64G3_0227_2217", ["obtiznost"] = 1.61, ["reseni"] = { ["float"] = 1.6416666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 197, ["jmenovatel"] = 120 }, ["render"] = "\\frac{591}{360}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{77}{120}", ["x"] = 1, ["y"] = 77, ["z"] = 120 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.81", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} - 2\\frac{2}{5}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} - 2\\frac{2}{5} - 2\\frac{2}{9}", ["typ"] = "minus" }, ["render"] = "7 + 1\\frac{5}{9} - 2\\frac{2}{5} - 2\\frac{2}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "-14 - 4\\frac{3}{9}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{-14 - 4\\frac{3}{9}}{-8}", ["typ"] = "lomeno" }, ["render"] = "7 + 1\\frac{5}{9} - 2\\frac{2}{5} - 2\\frac{2}{9} - \\frac{-14 - 4\\frac{3}{9}}{-8}", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.82, bodu=166, $$4\frac{3}{6} - 16 - (\frac{10}{\frac{10}{2\frac{4}{9}}})^2 - 15=\textcolor{white}{-32\frac{77}{162}}$$return { ["body"] = 166, ["id"] = "NfIwmB_0227_2217", ["obtiznost"] = 1.446, ["reseni"] = { ["float"] = -32.475308641975, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5261, ["jmenovatel"] = 162 }, ["render"] = "\\frac{-5261}{162}", ["typ"] = "cislo" }, ["tex"] = "-32\\frac{77}{162}", ["x"] = -32, ["y"] = 77, ["z"] = 162 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} - 16", ["typ"] = "minus" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{2\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{10}{\\frac{10}{2\\frac{4}{9}}}", ["typ"] = "lomeno" }, ["mocnitel"] = 2, ["render"] = "(\\frac{10}{\\frac{10}{2\\frac{4}{9}}})^2", ["typ"] = "mocnina" }, ["render"] = "4\\frac{3}{6} - 16 - (\\frac{10}{\\frac{10}{2\\frac{4}{9}}})^2", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} - 16 - (\\frac{10}{\\frac{10}{2\\frac{4}{9}}})^2 - 15", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.83, bodu=232, $$(-11 + \frac{4\frac{3}{9}}{3\frac{5}{9} + 2\frac{1}{5}}) \cdot 4\frac{5}{11} \cdot 4\frac{3}{8}=\textcolor{white}{-199\frac{1143}{1628}}$$return { ["body"] = 232, ["id"] = "NpwJn9_0227_2217", ["obtiznost"] = 1.83, ["reseni"] = { ["float"] = -199.70208845209, ["objekt"] = { ["hodnota"] = { ["citatel"] = -325115, ["jmenovatel"] = 1628 }, ["render"] = "\\frac{-4551610}{22792}", ["typ"] = "cislo" }, ["tex"] = "-199\\frac{1143}{1628}", ["x"] = -199, ["y"] = 1143, ["z"] = 1628 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.83", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{9} + 2\\frac{1}{5}", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{3}{9}}{3\\frac{5}{9} + 2\\frac{1}{5}}", ["typ"] = "lomeno" }, ["render"] = "-11 + \\frac{4\\frac{3}{9}}{3\\frac{5}{9} + 2\\frac{1}{5}}", ["typ"] = "plus" }, ["render"] = "(-11 + \\frac{4\\frac{3}{9}}{3\\frac{5}{9} + 2\\frac{1}{5}})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{11} \\cdot 4\\frac{3}{8}", ["typ"] = "krat" }, ["render"] = "(-11 + \\frac{4\\frac{3}{9}}{3\\frac{5}{9} + 2\\frac{1}{5}}) \\cdot 4\\frac{5}{11} \\cdot 4\\frac{3}{8}", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.84, bodu=134, $$(-7 + \frac{-9}{-11}) \cdot (10 - 4\frac{4}{7} - 4\frac{2}{10} - 20)=\textcolor{white}{116\frac{16}{385}}$$return { ["body"] = 134, ["id"] = "mEimW1_0227_2217", ["obtiznost"] = 1.24, ["reseni"] = { ["float"] = 116.04155844156, ["objekt"] = { ["hodnota"] = { ["citatel"] = 44676, ["jmenovatel"] = 385 }, ["render"] = "\\frac{44676}{385}", ["typ"] = "cislo" }, ["tex"] = "116\\frac{16}{385}", ["x"] = 116, ["y"] = 16, ["z"] = 385 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.84", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{-11}", ["typ"] = "lomeno" }, ["render"] = "-7 + \\frac{-9}{-11}", ["typ"] = "plus" }, ["render"] = "(-7 + \\frac{-9}{-11})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "10 - 4\\frac{4}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "10 - 4\\frac{4}{7} - 4\\frac{2}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "10 - 4\\frac{4}{7} - 4\\frac{2}{10} - 20", ["typ"] = "minus" }, ["render"] = "(10 - 4\\frac{4}{7} - 4\\frac{2}{10} - 20)", ["typ"] = "zavorka" }, ["render"] = "(-7 + \\frac{-9}{-11}) \\cdot (10 - 4\\frac{4}{7} - 4\\frac{2}{10} - 20)", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.85, bodu=135, $$(2\frac{5}{8} + 20 \cdot -11 \cdot 3\frac{4}{8}) \cdot 6 \cdot 17=\textcolor{white}{-78272{,}25}$$return { ["body"] = 135, ["id"] = "3JyXOn_0227_2217", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = -78272.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = -313089, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-626178}{8}", ["typ"] = "cislo" }, ["tex"] = "-78272\\frac{1}{4}", ["tex_float"] = "-78272{,}25", ["x"] = -78272, ["y"] = 1, ["z"] = 4 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.85", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "20 \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "20 \\cdot -11 \\cdot 3\\frac{4}{8}", ["typ"] = "krat" }, ["render"] = "2\\frac{5}{8} + 20 \\cdot -11 \\cdot 3\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "(2\\frac{5}{8} + 20 \\cdot -11 \\cdot 3\\frac{4}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "6 \\cdot 17", ["typ"] = "krat" }, ["render"] = "(2\\frac{5}{8} + 20 \\cdot -11 \\cdot 3\\frac{4}{8}) \\cdot 6 \\cdot 17", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.86, bodu=202, $$(6 + 2\frac{3}{12} - 3\frac{3}{7}) \cdot \frac{13 + 2\frac{2}{7}}{4\frac{2}{7} - 11}=\textcolor{white}{-10\frac{1285}{1316}}$$return { ["body"] = 202, ["id"] = "a1FqZp_0227_2217", ["obtiznost"] = 1.66, ["reseni"] = { ["float"] = -10.976443768997, ["objekt"] = { ["hodnota"] = { ["citatel"] = -14445, ["jmenovatel"] = 1316 }, ["render"] = "\\frac{-14445}{1316}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{1285}{1316}", ["x"] = -10, ["y"] = 1285, ["z"] = 1316 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.86", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{3}{12}", ["typ"] = "cislo" }, ["render"] = "6 + 2\\frac{3}{12}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "6 + 2\\frac{3}{12} - 3\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "(6 + 2\\frac{3}{12} - 3\\frac{3}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "13 + 2\\frac{2}{7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{7} - 11", ["typ"] = "minus" }, ["render"] = "\\frac{13 + 2\\frac{2}{7}}{4\\frac{2}{7} - 11}", ["typ"] = "lomeno" }, ["render"] = "(6 + 2\\frac{3}{12} - 3\\frac{3}{7}) \\cdot \\frac{13 + 2\\frac{2}{7}}{4\\frac{2}{7} - 11}", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.87, bodu=170, $$\frac{4\frac{3}{9}}{(13 - 3\frac{4}{7}) \cdot (4 + (-13) + 2\frac{3}{11}) \cdot -5}=\textcolor{white}{\frac{91}{6660}}$$return { ["body"] = 170, ["id"] = "Q7hVie_0227_2217", ["obtiznost"] = 1.47, ["reseni"] = { ["float"] = 0.013663663663664, ["objekt"] = { ["hodnota"] = { ["citatel"] = 91, ["jmenovatel"] = 6660 }, ["render"] = "\\frac{91}{6660}", ["typ"] = "cislo" }, ["tex"] = "\\frac{91}{6660}", ["y"] = 91, ["z"] = 6660 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.87", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["render"] = "13 - 3\\frac{4}{7}", ["typ"] = "minus" }, ["render"] = "(13 - 3\\frac{4}{7})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "4 + (-13)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{3}{11}", ["typ"] = "cislo" }, ["render"] = "4 + (-13) + 2\\frac{3}{11}", ["typ"] = "plus" }, ["render"] = "(4 + (-13) + 2\\frac{3}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "(4 + (-13) + 2\\frac{3}{11}) \\cdot -5", ["typ"] = "krat" }, ["render"] = "(13 - 3\\frac{4}{7}) \\cdot (4 + (-13) + 2\\frac{3}{11}) \\cdot -5", ["typ"] = "krat" }, ["render"] = "\\frac{4\\frac{3}{9}}{(13 - 3\\frac{4}{7}) \\cdot (4 + (-13) + 2\\frac{3}{11}) \\cdot -5}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.88, bodu=172, $$\frac{3\frac{4}{10} - (-18) + 17 + (-11) - (2\frac{5}{7} + 4\frac{5}{10})}{-8}=\textcolor{white}{-2\frac{293}{560}}$$return { ["body"] = 172, ["id"] = "bhOnJy_0227_2217", ["obtiznost"] = 1.48, ["reseni"] = { ["float"] = -2.5232142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1413, ["jmenovatel"] = 560 }, ["render"] = "\\frac{1413}{-560}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{293}{560}", ["x"] = -2, ["y"] = 293, ["z"] = 560 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} - (-18)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "17 + (-11)", ["typ"] = "plus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{7} + 4\\frac{5}{10}", ["typ"] = "plus" }, ["render"] = "(2\\frac{5}{7} + 4\\frac{5}{10})", ["typ"] = "zavorka" }, ["render"] = "17 + (-11) - (2\\frac{5}{7} + 4\\frac{5}{10})", ["typ"] = "minus" }, ["render"] = "3\\frac{4}{10} - (-18) + 17 + (-11) - (2\\frac{5}{7} + 4\\frac{5}{10})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{10} - (-18) + 17 + (-11) - (2\\frac{5}{7} + 4\\frac{5}{10})}{-8}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.89, bodu=216, $$\frac{(4\frac{4}{8} - 4\frac{2}{11}) \cdot 2\frac{1}{5} \cdot (10 + (-15))^3}{3\frac{2}{5}}=\textcolor{white}{-25\frac{25}{34}}$$return { ["body"] = 216, ["id"] = "UQgfhD_0227_2217", ["obtiznost"] = 1.7404, ["reseni"] = { ["float"] = -25.735294117647, ["objekt"] = { ["hodnota"] = { ["citatel"] = -875, ["jmenovatel"] = 34 }, ["render"] = "\\frac{-875}{34}", ["typ"] = "cislo" }, ["tex"] = "-25\\frac{25}{34}", ["x"] = -25, ["y"] = 25, ["z"] = 34 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} - 4\\frac{2}{11}", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{8} - 4\\frac{2}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{1}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c"] = { ["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" }, ["mocnitel"] = 3, ["render"] = "(10 + (-15))^3", ["typ"] = "mocnina" }, ["render"] = "2\\frac{1}{5} \\cdot (10 + (-15))^3", ["typ"] = "krat" }, ["render"] = "(4\\frac{4}{8} - 4\\frac{2}{11}) \\cdot 2\\frac{1}{5} \\cdot (10 + (-15))^3", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{(4\\frac{4}{8} - 4\\frac{2}{11}) \\cdot 2\\frac{1}{5} \\cdot (10 + (-15))^3}{3\\frac{2}{5}}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.9, bodu=143, $$(-21 + (-16) - (4\frac{2}{12} - (-18))) \cdot (7 + \frac{10}{1\frac{1}{7}})=\textcolor{white}{-931{,}875}$$return { ["body"] = 143, ["id"] = "Jp8h7t_0227_2217", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = -931.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = -7455, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-22365}{24}", ["typ"] = "cislo" }, ["tex"] = "-931\\frac{7}{8}", ["tex_float"] = "-931{,}875", ["x"] = -931, ["y"] = 7, ["z"] = 8 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.9", ["zadani"] = { ["c1"] = { ["obsah"] = { ["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"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{2}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "4\\frac{2}{12} - (-18)", ["typ"] = "minus" }, ["render"] = "(4\\frac{2}{12} - (-18))", ["typ"] = "zavorka" }, ["render"] = "-21 + (-16) - (4\\frac{2}{12} - (-18))", ["typ"] = "minus" }, ["render"] = "(-21 + (-16) - (4\\frac{2}{12} - (-18)))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{1\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "7 + \\frac{10}{1\\frac{1}{7}}", ["typ"] = "plus" }, ["render"] = "(7 + \\frac{10}{1\\frac{1}{7}})", ["typ"] = "zavorka" }, ["render"] = "(-21 + (-16) - (4\\frac{2}{12} - (-18))) \\cdot (7 + \\frac{10}{1\\frac{1}{7}})", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.91, bodu=190, $$12 + (3\frac{3}{9} + 1\frac{1}{3})^2 \cdot \frac{12}{\frac{-9}{1\frac{4}{11}}}=\textcolor{white}{-27\frac{59}{99}}$$return { ["body"] = 190, ["id"] = "ebEdeB_0227_2217", ["obtiznost"] = 1.592, ["reseni"] = { ["float"] = -27.59595959596, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2732, ["jmenovatel"] = 99 }, ["render"] = "\\frac{-2732}{99}", ["typ"] = "cislo" }, ["tex"] = "-27\\frac{59}{99}", ["x"] = -27, ["y"] = 59, ["z"] = 99 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.91", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "3\\frac{3}{9} + 1\\frac{1}{3}", ["typ"] = "plus" }, ["mocnitel"] = 2, ["render"] = "(3\\frac{3}{9} + 1\\frac{1}{3})^2", ["typ"] = "mocnina" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{1\\frac{4}{11}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{12}{\\frac{-9}{1\\frac{4}{11}}}", ["typ"] = "lomeno" }, ["render"] = "(3\\frac{3}{9} + 1\\frac{1}{3})^2 \\cdot \\frac{12}{\\frac{-9}{1\\frac{4}{11}}}", ["typ"] = "krat" }, ["render"] = "12 + (3\\frac{3}{9} + 1\\frac{1}{3})^2 \\cdot \\frac{12}{\\frac{-9}{1\\frac{4}{11}}}", ["typ"] = "plus" } }

seed: tk2DJlBthP0agvEhhDsa_0.92, bodu=213, $$\frac{3\frac{2}{8} - 3\frac{4}{10}}{3\frac{3}{13}} + \frac{4\frac{5}{12}}{24} - (-9)=\textcolor{white}{9\frac{1387}{10080}}$$return { ["body"] = 213, ["id"] = "tCfi3i_0227_2217", ["obtiznost"] = 1.72, ["reseni"] = { ["float"] = 9.1375992063492, ["objekt"] = { ["hodnota"] = { ["citatel"] = 92107, ["jmenovatel"] = 10080 }, ["render"] = "\\frac{92107}{10080}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{1387}{10080}", ["x"] = 9, ["y"] = 1387, ["z"] = 10080 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{8} - 3\\frac{4}{10}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 42, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{8} - 3\\frac{4}{10}}{3\\frac{3}{13}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 53, ["jmenovatel"] = 12 }, ["render"] = "4\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 24, ["jmenovatel"] = 1 }, ["render"] = "24", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{5}{12}}{24}", ["typ"] = "lomeno" }, ["render"] = "\\frac{3\\frac{2}{8} - 3\\frac{4}{10}}{3\\frac{3}{13}} + \\frac{4\\frac{5}{12}}{24}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{8} - 3\\frac{4}{10}}{3\\frac{3}{13}} + \\frac{4\\frac{5}{12}}{24} - (-9)", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.93, bodu=279, $$(17 + 23 - 1\frac{4}{5}) \cdot \frac{(1\frac{2}{5} \cdot 4\frac{1}{7})^2}{3\frac{5}{10}}=\textcolor{white}{367\frac{137}{875}}$$return { ["body"] = 279, ["id"] = "5hZMYF_0227_2217", ["obtiznost"] = 2.0764, ["reseni"] = { ["float"] = 367.15657142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 321262, ["jmenovatel"] = 875 }, ["render"] = "\\frac{321262}{875}", ["typ"] = "cislo" }, ["tex"] = "367\\frac{137}{875}", ["x"] = 367, ["y"] = 137, ["z"] = 875 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.93", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "23", ["typ"] = "cislo" }, ["render"] = "17 + 23", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{5}", ["typ"] = "cislo" }, ["render"] = "17 + 23 - 1\\frac{4}{5}", ["typ"] = "minus" }, ["render"] = "(17 + 23 - 1\\frac{4}{5})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{5} \\cdot 4\\frac{1}{7}", ["typ"] = "krat" }, ["mocnitel"] = 2, ["render"] = "(1\\frac{2}{5} \\cdot 4\\frac{1}{7})^2", ["typ"] = "mocnina" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{(1\\frac{2}{5} \\cdot 4\\frac{1}{7})^2}{3\\frac{5}{10}}", ["typ"] = "lomeno" }, ["render"] = "(17 + 23 - 1\\frac{4}{5}) \\cdot \\frac{(1\\frac{2}{5} \\cdot 4\\frac{1}{7})^2}{3\\frac{5}{10}}", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.94, bodu=95, $$\frac{-17 \cdot -19 \cdot 20 \cdot -23}{(12 - 20)^2}=\textcolor{white}{-2321\frac{9}{16}}$$return { ["body"] = 95, ["id"] = "V7ih4p_0227_2217", ["obtiznost"] = 0.966, ["reseni"] = { ["float"] = -2321.5625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -37145, ["jmenovatel"] = 16 }, ["render"] = "\\frac{-148580}{64}", ["typ"] = "cislo" }, ["tex"] = "-2321\\frac{9}{16}", ["x"] = -2321, ["y"] = 9, ["z"] = 16 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.94", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "-17 \\cdot -19", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "-17 \\cdot -19 \\cdot 20", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -23, ["jmenovatel"] = 1 }, ["render"] = "-23", ["typ"] = "cislo" }, ["render"] = "-17 \\cdot -19 \\cdot 20 \\cdot -23", ["typ"] = "krat" }, ["c2"] = { ["c"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "12 - 20", ["typ"] = "minus" }, ["mocnitel"] = 2, ["render"] = "(12 - 20)^2", ["typ"] = "mocnina" }, ["render"] = "\\frac{-17 \\cdot -19 \\cdot 20 \\cdot -23}{(12 - 20)^2}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.95, bodu=218, $$\frac{4\frac{3}{14} \cdot (\frac{1\frac{5}{14}}{2\frac{3}{14} - 7} + 1\frac{4}{13})}{-14}=\textcolor{white}{-\frac{13157}{42679}}$$return { ["body"] = 218, ["id"] = "VJybOn_0227_2217", ["obtiznost"] = 1.75, ["reseni"] = { ["float"] = -0.30827807586869, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13157, ["jmenovatel"] = 42679 }, ["render"] = "\\frac{26314}{-85358}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13157}{42679}", ["y"] = -13157, ["z"] = 42679 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 59, ["jmenovatel"] = 14 }, ["render"] = "4\\frac{3}{14}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 14 }, ["render"] = "1\\frac{5}{14}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 14 }, ["render"] = "2\\frac{3}{14}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{14} - 7", ["typ"] = "minus" }, ["render"] = "\\frac{1\\frac{5}{14}}{2\\frac{3}{14} - 7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{4}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{14}}{2\\frac{3}{14} - 7} + 1\\frac{4}{13}", ["typ"] = "plus" }, ["render"] = "(\\frac{1\\frac{5}{14}}{2\\frac{3}{14} - 7} + 1\\frac{4}{13})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{3}{14} \\cdot (\\frac{1\\frac{5}{14}}{2\\frac{3}{14} - 7} + 1\\frac{4}{13})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{3}{14} \\cdot (\\frac{1\\frac{5}{14}}{2\\frac{3}{14} - 7} + 1\\frac{4}{13})}{-14}", ["typ"] = "lomeno" } }

seed: tk2DJlBthP0agvEhhDsa_0.96, bodu=185, $$14 - (2\frac{2}{8} - (1\frac{4}{8} - (-14)) \cdot \frac{-15}{1\frac{3}{13}})=\textcolor{white}{-177\frac{5}{32}}$$return { ["body"] = 185, ["id"] = "jYcWdj_0227_2217", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = -177.15625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5669, ["jmenovatel"] = 32 }, ["render"] = "\\frac{-5669}{32}", ["typ"] = "cislo" }, ["tex"] = "-177\\frac{5}{32}", ["x"] = -177, ["y"] = 5, ["z"] = 32 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.96", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 4 }, ["render"] = "2\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{8} - (-14)", ["typ"] = "minus" }, ["render"] = "(1\\frac{4}{8} - (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 13 }, ["render"] = "1\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "\\frac{-15}{1\\frac{3}{13}}", ["typ"] = "lomeno" }, ["render"] = "(1\\frac{4}{8} - (-14)) \\cdot \\frac{-15}{1\\frac{3}{13}}", ["typ"] = "krat" }, ["render"] = "2\\frac{2}{8} - (1\\frac{4}{8} - (-14)) \\cdot \\frac{-15}{1\\frac{3}{13}}", ["typ"] = "minus" }, ["render"] = "(2\\frac{2}{8} - (1\\frac{4}{8} - (-14)) \\cdot \\frac{-15}{1\\frac{3}{13}})", ["typ"] = "zavorka" }, ["render"] = "14 - (2\\frac{2}{8} - (1\\frac{4}{8} - (-14)) \\cdot \\frac{-15}{1\\frac{3}{13}})", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.97, bodu=187, $$-14 \cdot (-7 - (3\frac{1}{7} - (1\frac{2}{7} - (-15)) \cdot 4\frac{4}{10}))=\textcolor{white}{-861{,}2}$$return { ["body"] = 187, ["id"] = "giNINc_0227_2217", ["obtiznost"] = 1.57, ["reseni"] = { ["float"] = -861.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = -4306, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-30142}{35}", ["typ"] = "cislo" }, ["tex"] = "-861\\frac{1}{5}", ["tex_float"] = "-861{,}2", ["x"] = -861, ["y"] = 1, ["z"] = 5 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.97", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{7} - (-15)", ["typ"] = "minus" }, ["render"] = "(1\\frac{2}{7} - (-15))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 22, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "(1\\frac{2}{7} - (-15)) \\cdot 4\\frac{4}{10}", ["typ"] = "krat" }, ["render"] = "3\\frac{1}{7} - (1\\frac{2}{7} - (-15)) \\cdot 4\\frac{4}{10}", ["typ"] = "minus" }, ["render"] = "(3\\frac{1}{7} - (1\\frac{2}{7} - (-15)) \\cdot 4\\frac{4}{10})", ["typ"] = "zavorka" }, ["render"] = "-7 - (3\\frac{1}{7} - (1\\frac{2}{7} - (-15)) \\cdot 4\\frac{4}{10})", ["typ"] = "minus" }, ["render"] = "(-7 - (3\\frac{1}{7} - (1\\frac{2}{7} - (-15)) \\cdot 4\\frac{4}{10}))", ["typ"] = "zavorka" }, ["render"] = "-14 \\cdot (-7 - (3\\frac{1}{7} - (1\\frac{2}{7} - (-15)) \\cdot 4\\frac{4}{10}))", ["typ"] = "krat" } }

seed: tk2DJlBthP0agvEhhDsa_0.98, bodu=125, $$-14 \cdot 2\frac{1}{11} - \frac{8 + 14 - (-12)}{-7}=\textcolor{white}{-24\frac{32}{77}}$$return { ["body"] = 125, ["id"] = "AyRGDx_0227_2217", ["obtiznost"] = 1.18, ["reseni"] = { ["float"] = -24.415584415584, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1880, ["jmenovatel"] = 77 }, ["render"] = "\\frac{-1880}{77}", ["typ"] = "cislo" }, ["tex"] = "-24\\frac{32}{77}", ["x"] = -24, ["y"] = 32, ["z"] = 77 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{1}{11}", ["typ"] = "cislo" }, ["render"] = "-14 \\cdot 2\\frac{1}{11}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "8 + 14", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "8 + 14 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{8 + 14 - (-12)}{-7}", ["typ"] = "lomeno" }, ["render"] = "-14 \\cdot 2\\frac{1}{11} - \\frac{8 + 14 - (-12)}{-7}", ["typ"] = "minus" } }

seed: tk2DJlBthP0agvEhhDsa_0.99, bodu=126, $$16 \cdot -20 - \frac{1\frac{1}{3}}{19 - (-17)} + 14=\textcolor{white}{-306\frac{1}{27}}$$return { ["body"] = 126, ["id"] = "HuETqj_0227_2217", ["obtiznost"] = 1.19, ["reseni"] = { ["float"] = -306.03703703704, ["objekt"] = { ["hodnota"] = { ["citatel"] = -8263, ["jmenovatel"] = 27 }, ["render"] = "\\frac{-8263}{27}", ["typ"] = "cislo" }, ["tex"] = "-306\\frac{1}{27}", ["x"] = -306, ["y"] = 1, ["z"] = 27 }, ["seed"] = "tk2DJlBthP0agvEhhDsa_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "16 \\cdot -20", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "19 - (-17)", ["typ"] = "minus" }, ["render"] = "\\frac{1\\frac{1}{3}}{19 - (-17)}", ["typ"] = "lomeno" }, ["render"] = "16 \\cdot -20 - \\frac{1\\frac{1}{3}}{19 - (-17)}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "16 \\cdot -20 - \\frac{1\\frac{1}{3}}{19 - (-17)} + 14", ["typ"] = "plus" } }

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