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Nahodny test, priklady s rostouci obtiznosti...

seed: aPRm3Skv92znKpRomr0l_0, bodu=5, $$5 \cdot 7 + 5 - 5=\textcolor{white}{35}$$return { ["body"] = 5, ["id"] = "1022_0640_c6aB", ["obtiznost"] = 0, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 1 }, ["render"] = "\\frac{35}{1}", ["typ"] = "cislo" }, ["tex"] = "35", ["x"] = 35 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "5 - 5", ["typ"] = "minus" }, ["render"] = "5 \\cdot 7 + 5 - 5", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.01, bodu=5, $$7 \cdot 7 \cdot (8 - 5)=\textcolor{white}{147}$$return { ["body"] = 5, ["id"] = "1022_0640_qFvR", ["obtiznost"] = 0.01, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 147, ["jmenovatel"] = 1 }, ["render"] = "\\frac{147}{1}", ["typ"] = "cislo" }, ["tex"] = "147", ["x"] = 147 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.01", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 7", ["typ"] = "krat" }, ["c2"] = { ["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"] = "minus" }, ["render"] = "(8 - 5)", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot 7 \\cdot (8 - 5)", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.02, bodu=10, $$\frac{7 \cdot (5 + 6)}{-6}=\textcolor{white}{-12\frac{5}{6}}$$return { ["body"] = 10, ["id"] = "1022_0640_LTzc", ["obtiznost"] = 0.02, ["reseni"] = { ["float"] = -12.833333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -77, ["jmenovatel"] = 6 }, ["render"] = "\\frac{77}{-6}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{5}{6}", ["x"] = -12, ["y"] = 5, ["z"] = 6 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.02", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "5 + 6", ["typ"] = "plus" }, ["render"] = "(5 + 6)", ["typ"] = "zavorka" }, ["render"] = "7 \\cdot (5 + 6)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{7 \\cdot (5 + 6)}{-6}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.03, bodu=5, $$11 - 6 + 5 + 7 + 6=\textcolor{white}{23}$$return { ["body"] = 5, ["id"] = "1022_0640_zbr2", ["obtiznost"] = 0.03, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 1 }, ["render"] = "\\frac{23}{1}", ["typ"] = "cislo" }, ["tex"] = "23", ["tex_float"] = "23", ["x"] = 23 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.03", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "11 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "11 - 6 + 5", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 + 6", ["typ"] = "plus" }, ["render"] = "11 - 6 + 5 + 7 + 6", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.04, bodu=5, $$(-10 - 7) \cdot 4 \cdot 5=\textcolor{white}{-340}$$return { ["body"] = 5, ["id"] = "1022_0640_1Mt7", ["obtiznost"] = 0.04, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -340, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-340}{1}", ["typ"] = "cislo" }, ["tex"] = "-340", ["tex_float"] = "-340", ["x"] = -340 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.04", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-10 - 7", ["typ"] = "minus" }, ["render"] = "(-10 - 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(-10 - 7) \\cdot 4", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "(-10 - 7) \\cdot 4 \\cdot 5", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.05, bodu=5, $$8 - 6 - 9 - 9=\textcolor{white}{-16}$$return { ["body"] = 5, ["id"] = "1022_0640_5kkU", ["obtiznost"] = 0.05, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-16}{1}", ["typ"] = "cislo" }, ["tex"] = "-16", ["tex_float"] = "-16", ["x"] = -16 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.05", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "8 - 6", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 - 6 - 9", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "8 - 6 - 9 - 9", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.06, bodu=11, $$\frac{8}{-4 \cdot 6}=\textcolor{white}{-\frac{1}{3}}$$return { ["body"] = 11, ["id"] = "1022_0640_yjOK", ["obtiznost"] = 0.06, ["reseni"] = { ["float"] = -0.33333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 3 }, ["render"] = "\\frac{8}{-24}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{3}", ["y"] = -1, ["z"] = 3 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.06", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-4 \\cdot 6", ["typ"] = "krat" }, ["render"] = "\\frac{8}{-4 \\cdot 6}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.07, bodu=22, $$-5 \cdot 1\frac{4}{7} \cdot 4=\textcolor{white}{-31\frac{3}{7}}$$return { ["body"] = 22, ["id"] = "1022_0640_6Zd9", ["obtiznost"] = 0.27, ["reseni"] = { ["float"] = -31.428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = -220, ["jmenovatel"] = 7 }, ["render"] = "\\frac{-220}{7}", ["typ"] = "cislo" }, ["tex"] = "-31\\frac{3}{7}", ["x"] = -31, ["y"] = 3, ["z"] = 7 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.07", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{7} \\cdot 4", ["typ"] = "krat" }, ["render"] = "-5 \\cdot 1\\frac{4}{7} \\cdot 4", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.08, bodu=12, $$-7 + \frac{7}{8} - 10=\textcolor{white}{-16{,}125}$$return { ["body"] = 12, ["id"] = "1022_0640_KqGq", ["obtiznost"] = 0.08, ["reseni"] = { ["float"] = -16.125, ["objekt"] = { ["hodnota"] = { ["citatel"] = -129, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-129}{8}", ["typ"] = "cislo" }, ["tex"] = "-16\\frac{1}{8}", ["tex_float"] = "-16{,}125", ["x"] = -16, ["y"] = 1, ["z"] = 8 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.08", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{8}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{8} - 10", ["typ"] = "minus" }, ["render"] = "-7 + \\frac{7}{8} - 10", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.09, bodu=12, $$\frac{\frac{7}{10}}{7}=\textcolor{white}{0{,}1}$$return { ["body"] = 12, ["id"] = "1022_0640_qxcj", ["obtiznost"] = 0.09, ["reseni"] = { ["float"] = 0.1, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 10 }, ["render"] = "\\frac{7}{70}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{10}", ["tex_float"] = "0{,}1", ["y"] = 1, ["z"] = 10 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.09", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{7}{10}}{7}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.1, bodu=12, $$\frac{8}{7} + 9 + 5=\textcolor{white}{15\frac{1}{7}}$$return { ["body"] = 12, ["id"] = "1022_0640_PuID", ["obtiznost"] = 0.1, ["reseni"] = { ["float"] = 15.142857142857, ["objekt"] = { ["hodnota"] = { ["citatel"] = 106, ["jmenovatel"] = 7 }, ["render"] = "\\frac{106}{7}", ["typ"] = "cislo" }, ["tex"] = "15\\frac{1}{7}", ["x"] = 15, ["y"] = 1, ["z"] = 7 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.1", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{7} + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{7} + 9 + 5", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.11, bodu=13, $$7 + \frac{7}{5 + (-9)}=\textcolor{white}{5{,}25}$$return { ["body"] = 13, ["id"] = "1022_0640_joLT", ["obtiznost"] = 0.11, ["reseni"] = { ["float"] = 5.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 4 }, ["render"] = "\\frac{21}{4}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{4}", ["tex_float"] = "5{,}25", ["x"] = 5, ["y"] = 1, ["z"] = 4 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.11", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "5 + (-9)", ["typ"] = "plus" }, ["render"] = "\\frac{7}{5 + (-9)}", ["typ"] = "lomeno" }, ["render"] = "7 + \\frac{7}{5 + (-9)}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.12, bodu=13, $$\frac{12}{\frac{7 - 8}{-7}}=\textcolor{white}{84}$$return { ["body"] = 13, ["id"] = "1022_0640_SGcu", ["obtiznost"] = 0.12, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 84, ["jmenovatel"] = 1 }, ["render"] = "\\frac{84}{1}", ["typ"] = "cislo" }, ["tex"] = "84", ["tex_float"] = "84", ["x"] = 84 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.12", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "7 - 8", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{7 - 8}{-7}", ["typ"] = "lomeno" }, ["render"] = "\\frac{12}{\\frac{7 - 8}{-7}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.13, bodu=27, $$\frac{6}{9 \cdot 2\frac{3}{6}}=\textcolor{white}{\frac{4}{15}}$$return { ["body"] = 27, ["id"] = "1022_0640_rioe", ["obtiznost"] = 0.33, ["reseni"] = { ["float"] = 0.26666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 15 }, ["render"] = "\\frac{12}{45}", ["typ"] = "cislo" }, ["tex"] = "\\frac{4}{15}", ["y"] = 4, ["z"] = 15 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.13", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 2\\frac{3}{6}", ["typ"] = "krat" }, ["render"] = "\\frac{6}{9 \\cdot 2\\frac{3}{6}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.14, bodu=14, $$\frac{6 + 4}{11} + 11=\textcolor{white}{11\frac{10}{11}}$$return { ["body"] = 14, ["id"] = "1022_0640_XGM0", ["obtiznost"] = 0.14, ["reseni"] = { ["float"] = 11.909090909091, ["objekt"] = { ["hodnota"] = { ["citatel"] = 131, ["jmenovatel"] = 11 }, ["render"] = "\\frac{131}{11}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{10}{11}", ["x"] = 11, ["y"] = 10, ["z"] = 11 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.14", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "6 + 4", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{6 + 4}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{6 + 4}{11} + 11", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.15, bodu=28, $$\frac{2\frac{4}{6} + (-7) + 9}{-5}=\textcolor{white}{-\frac{14}{15}}$$return { ["body"] = 28, ["id"] = "1022_0640_dL0m", ["obtiznost"] = 0.35, ["reseni"] = { ["float"] = -0.93333333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 15 }, ["render"] = "\\frac{14}{-15}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{14}{15}", ["y"] = -14, ["z"] = 15 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.15", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} + (-7)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{6} + (-7) + 9", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{4}{6} + (-7) + 9}{-5}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.16, bodu=15, $$\frac{9}{5} - (6 - 8)=\textcolor{white}{3{,}8}$$return { ["body"] = 15, ["id"] = "1022_0640_fLhp", ["obtiznost"] = 0.16, ["reseni"] = { ["float"] = 3.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "\\frac{19}{5}", ["typ"] = "cislo" }, ["tex"] = "3\\frac{4}{5}", ["tex_float"] = "3{,}8", ["x"] = 3, ["y"] = 4, ["z"] = 5 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.16", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{9}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "6 - 8", ["typ"] = "minus" }, ["render"] = "(6 - 8)", ["typ"] = "zavorka" }, ["render"] = "\\frac{9}{5} - (6 - 8)", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.17, bodu=16, $$\frac{13}{3 - 10 \cdot 13}=\textcolor{white}{-\frac{13}{127}}$$return { ["body"] = 16, ["id"] = "1022_0640_qZv4", ["obtiznost"] = 0.17, ["reseni"] = { ["float"] = -0.10236220472441, ["objekt"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 127 }, ["render"] = "\\frac{13}{-127}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{13}{127}", ["y"] = -13, ["z"] = 127 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.17", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 13", ["typ"] = "krat" }, ["render"] = "3 - 10 \\cdot 13", ["typ"] = "minus" }, ["render"] = "\\frac{13}{3 - 10 \\cdot 13}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.18, bodu=16, $$\frac{10}{10 \cdot (11 + (-7))}=\textcolor{white}{0{,}25}$$return { ["body"] = 16, ["id"] = "1022_0640_ku0u", ["obtiznost"] = 0.18, ["reseni"] = { ["float"] = 0.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1, ["jmenovatel"] = 4 }, ["render"] = "\\frac{10}{40}", ["typ"] = "cislo" }, ["tex"] = "\\frac{1}{4}", ["tex_float"] = "0{,}25", ["y"] = 1, ["z"] = 4 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.18", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "11 + (-7)", ["typ"] = "plus" }, ["render"] = "(11 + (-7))", ["typ"] = "zavorka" }, ["render"] = "10 \\cdot (11 + (-7))", ["typ"] = "krat" }, ["render"] = "\\frac{10}{10 \\cdot (11 + (-7))}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.19, bodu=31, $$2\frac{2}{7} \cdot 6 \cdot 11=\textcolor{white}{150\frac{6}{7}}$$return { ["body"] = 31, ["id"] = "1022_0640_RnEY", ["obtiznost"] = 0.39, ["reseni"] = { ["float"] = 150.85714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1056, ["jmenovatel"] = 7 }, ["render"] = "\\frac{1056}{7}", ["typ"] = "cislo" }, ["tex"] = "150\\frac{6}{7}", ["x"] = 150, ["y"] = 6, ["z"] = 7 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.19", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "2\\frac{2}{7} \\cdot 6 \\cdot 11", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.2, bodu=18, $$\frac{-10}{-9 + 7} + 13 + 7=\textcolor{white}{25}$$return { ["body"] = 18, ["id"] = "1022_0640_sS25", ["obtiznost"] = 0.2, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 1 }, ["render"] = "\\frac{25}{1}", ["typ"] = "cislo" }, ["tex"] = "25", ["x"] = 25 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.2", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-9 + 7", ["typ"] = "plus" }, ["render"] = "\\frac{-10}{-9 + 7}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "13 + 7", ["typ"] = "plus" }, ["render"] = "\\frac{-10}{-9 + 7} + 13 + 7", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.21, bodu=33, $$\frac{1\frac{5}{7} \cdot 6}{12 + (-10)}=\textcolor{white}{5\frac{1}{7}}$$return { ["body"] = 33, ["id"] = "1022_0640_UNKe", ["obtiznost"] = 0.41, ["reseni"] = { ["float"] = 5.1428571428571, ["objekt"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 7 }, ["render"] = "\\frac{72}{14}", ["typ"] = "cislo" }, ["tex"] = "5\\frac{1}{7}", ["x"] = 5, ["y"] = 1, ["z"] = 7 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.21", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{7} \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "12 + (-10)", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{5}{7} \\cdot 6}{12 + (-10)}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.22, bodu=19, $$4 \cdot 9 + \frac{11}{10}=\textcolor{white}{37{,}1}$$return { ["body"] = 19, ["id"] = "1022_0640_Vjwl", ["obtiznost"] = 0.22, ["reseni"] = { ["float"] = 37.1, ["objekt"] = { ["hodnota"] = { ["citatel"] = 371, ["jmenovatel"] = 10 }, ["render"] = "\\frac{371}{10}", ["typ"] = "cislo" }, ["tex"] = "37\\frac{1}{10}", ["tex_float"] = "37{,}1", ["x"] = 37, ["y"] = 1, ["z"] = 10 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.22", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "4 \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{10}", ["typ"] = "lomeno" }, ["render"] = "4 \\cdot 9 + \\frac{11}{10}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.23, bodu=35, $$(10 \cdot 10 + 3) \cdot 4\frac{1}{2}=\textcolor{white}{463{,}5}$$return { ["body"] = 35, ["id"] = "1022_0640_puFB", ["obtiznost"] = 0.43, ["reseni"] = { ["float"] = 463.5, ["objekt"] = { ["hodnota"] = { ["citatel"] = 927, ["jmenovatel"] = 2 }, ["render"] = "\\frac{927}{2}", ["typ"] = "cislo" }, ["tex"] = "463\\frac{1}{2}", ["tex_float"] = "463{,}5", ["x"] = 463, ["y"] = 1, ["z"] = 2 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.23", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 10", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["render"] = "10 \\cdot 10 + 3", ["typ"] = "plus" }, ["render"] = "(10 \\cdot 10 + 3)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{1}{2}", ["typ"] = "cislo" }, ["render"] = "(10 \\cdot 10 + 3) \\cdot 4\\frac{1}{2}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.24, bodu=10, $$(10 + 10) \cdot (8 + 5 + 11)=\textcolor{white}{480}$$return { ["body"] = 10, ["id"] = "1022_0640_FZ3O", ["obtiznost"] = 0.24, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 480, ["jmenovatel"] = 1 }, ["render"] = "\\frac{480}{1}", ["typ"] = "cislo" }, ["tex"] = "480", ["tex_float"] = "480", ["x"] = 480 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.24", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "10 + 10", ["typ"] = "plus" }, ["render"] = "(10 + 10)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "5 + 11", ["typ"] = "plus" }, ["render"] = "8 + 5 + 11", ["typ"] = "plus" }, ["render"] = "(8 + 5 + 11)", ["typ"] = "zavorka" }, ["render"] = "(10 + 10) \\cdot (8 + 5 + 11)", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.25, bodu=21, $$\frac{\frac{-7 + 6}{7}}{6}=\textcolor{white}{-\frac{1}{42}}$$return { ["body"] = 21, ["id"] = "1022_0640_aWaL", ["obtiznost"] = 0.25, ["reseni"] = { ["float"] = -0.023809523809524, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1, ["jmenovatel"] = 42 }, ["render"] = "\\frac{-1}{42}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{1}{42}", ["y"] = -1, ["z"] = 42 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.25", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-7 + 6", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{-7 + 6}{7}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-7 + 6}{7}}{6}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.26, bodu=21, $$9 + \frac{12}{10} - (6 + 6)=\textcolor{white}{-1{,}8}$$return { ["body"] = 21, ["id"] = "1022_0640_mHF8", ["obtiznost"] = 0.26, ["reseni"] = { ["float"] = -1.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 5 }, ["render"] = "\\frac{-9}{5}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{4}{5}", ["tex_float"] = "-1{,}8", ["x"] = -1, ["y"] = 4, ["z"] = 5 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.26", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "\\frac{12}{10}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "6 + 6", ["typ"] = "plus" }, ["render"] = "(6 + 6)", ["typ"] = "zavorka" }, ["render"] = "\\frac{12}{10} - (6 + 6)", ["typ"] = "minus" }, ["render"] = "9 + \\frac{12}{10} - (6 + 6)", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.27, bodu=59, $$9 + 5 - (1\frac{1}{4} + 2\frac{3}{8}) \cdot 9=\textcolor{white}{-18{,}625}$$return { ["body"] = 59, ["id"] = "1022_0640_qFeW", ["obtiznost"] = 0.67, ["reseni"] = { ["float"] = -18.625, ["objekt"] = { ["hodnota"] = { ["citatel"] = -149, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-149}{8}", ["typ"] = "cislo" }, ["tex"] = "-18\\frac{5}{8}", ["tex_float"] = "-18{,}625", ["x"] = -18, ["y"] = 5, ["z"] = 8 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.27", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{4} + 2\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{4} + 2\\frac{3}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "(1\\frac{1}{4} + 2\\frac{3}{8}) \\cdot 9", ["typ"] = "krat" }, ["render"] = "5 - (1\\frac{1}{4} + 2\\frac{3}{8}) \\cdot 9", ["typ"] = "minus" }, ["render"] = "9 + 5 - (1\\frac{1}{4} + 2\\frac{3}{8}) \\cdot 9", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.28, bodu=39, $$-12 \cdot -6 - (11 + (-11 - 3\frac{1}{5}))=\textcolor{white}{75{,}2}$$return { ["body"] = 39, ["id"] = "1022_0640_yO1X", ["obtiznost"] = 0.48, ["reseni"] = { ["float"] = 75.2, ["objekt"] = { ["hodnota"] = { ["citatel"] = 376, ["jmenovatel"] = 5 }, ["render"] = "\\frac{376}{5}", ["typ"] = "cislo" }, ["tex"] = "75\\frac{1}{5}", ["tex_float"] = "75{,}2", ["x"] = 75, ["y"] = 1, ["z"] = 5 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.28", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot -6", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "-11 - 3\\frac{1}{5}", ["typ"] = "minus" }, ["render"] = "11 + (-11 - 3\\frac{1}{5})", ["typ"] = "plus" }, ["render"] = "(11 + (-11 - 3\\frac{1}{5}))", ["typ"] = "zavorka" }, ["render"] = "-12 \\cdot -6 - (11 + (-11 - 3\\frac{1}{5}))", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.29, bodu=24, $$\frac{7}{11 \cdot 15} - 5=\textcolor{white}{-4\frac{158}{165}}$$return { ["body"] = 24, ["id"] = "1022_0640_eJqd", ["obtiznost"] = 0.29, ["reseni"] = { ["float"] = -4.9575757575758, ["objekt"] = { ["hodnota"] = { ["citatel"] = -818, ["jmenovatel"] = 165 }, ["render"] = "\\frac{-818}{165}", ["typ"] = "cislo" }, ["tex"] = "-4\\frac{158}{165}", ["x"] = -4, ["y"] = 158, ["z"] = 165 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.29", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "11 \\cdot 15", ["typ"] = "krat" }, ["render"] = "\\frac{7}{11 \\cdot 15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{11 \\cdot 15} - 5", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.3, bodu=62, $$\frac{2\frac{3}{6}}{7 \cdot 6 + 3\frac{4}{7} + (-12)}=\textcolor{white}{\frac{7}{94}}$$return { ["body"] = 62, ["id"] = "1022_0640_Nyo9", ["obtiznost"] = 0.7, ["reseni"] = { ["float"] = 0.074468085106383, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 94 }, ["render"] = "\\frac{35}{470}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{94}", ["y"] = 7, ["z"] = 94 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.3", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "7 \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{7} + (-12)", ["typ"] = "plus" }, ["render"] = "7 \\cdot 6 + 3\\frac{4}{7} + (-12)", ["typ"] = "plus" }, ["render"] = "\\frac{2\\frac{3}{6}}{7 \\cdot 6 + 3\\frac{4}{7} + (-12)}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.31, bodu=42, $$(10 - 9) \cdot \frac{-8}{2\frac{3}{6}}=\textcolor{white}{-3{,}2}$$return { ["body"] = 42, ["id"] = "1022_0640_LCJR", ["obtiznost"] = 0.51, ["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"] = "aPRm3Skv92znKpRomr0l_0.31", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "10 - 9", ["typ"] = "minus" }, ["render"] = "(10 - 9)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{3}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-8}{2\\frac{3}{6}}", ["typ"] = "lomeno" }, ["render"] = "(10 - 9) \\cdot \\frac{-8}{2\\frac{3}{6}}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.32, bodu=64, $$\frac{8}{4\frac{2}{4}} \cdot \frac{4}{2\frac{4}{8}}=\textcolor{white}{2\frac{38}{45}}$$return { ["body"] = 64, ["id"] = "1022_0640_ThGD", ["obtiznost"] = 0.72, ["reseni"] = { ["float"] = 2.8444444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = 128, ["jmenovatel"] = 45 }, ["render"] = "\\frac{128}{45}", ["typ"] = "cislo" }, ["tex"] = "2\\frac{38}{45}", ["x"] = 2, ["y"] = 38, ["z"] = 45 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.32", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "\\frac{8}{4\\frac{2}{4}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{4}{2\\frac{4}{8}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{8}{4\\frac{2}{4}} \\cdot \\frac{4}{2\\frac{4}{8}}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.33, bodu=44, $$6 + (6 + 2\frac{5}{8} + (-10)) \cdot 6=\textcolor{white}{-2{,}25}$$return { ["body"] = 44, ["id"] = "1022_0640_BMjo", ["obtiznost"] = 0.53, ["reseni"] = { ["float"] = -2.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 4 }, ["render"] = "\\frac{-9}{4}", ["typ"] = "cislo" }, ["tex"] = "-2\\frac{1}{4}", ["tex_float"] = "-2{,}25", ["x"] = -2, ["y"] = 1, ["z"] = 4 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.33", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{5}{8}", ["typ"] = "cislo" }, ["render"] = "6 + 2\\frac{5}{8}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "6 + 2\\frac{5}{8} + (-10)", ["typ"] = "plus" }, ["render"] = "(6 + 2\\frac{5}{8} + (-10))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "(6 + 2\\frac{5}{8} + (-10)) \\cdot 6", ["typ"] = "krat" }, ["render"] = "6 + (6 + 2\\frac{5}{8} + (-10)) \\cdot 6", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.34, bodu=13, $$8 \cdot (10 - (9 - (-4)))=\textcolor{white}{-24}$$return { ["body"] = 13, ["id"] = "1022_0640_EemO", ["obtiznost"] = 0.34, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -24, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-24}{1}", ["typ"] = "cislo" }, ["tex"] = "-24", ["tex_float"] = "-24", ["x"] = -24 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.34", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "9 - (-4)", ["typ"] = "minus" }, ["render"] = "(9 - (-4))", ["typ"] = "zavorka" }, ["render"] = "10 - (9 - (-4))", ["typ"] = "minus" }, ["render"] = "(10 - (9 - (-4)))", ["typ"] = "zavorka" }, ["render"] = "8 \\cdot (10 - (9 - (-4)))", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.35, bodu=46, $$1\frac{1}{6} \cdot (6 - (16 - (-8)))=\textcolor{white}{-21}$$return { ["body"] = 46, ["id"] = "1022_0640_HqAm", ["obtiznost"] = 0.55, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -21, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-126}{6}", ["typ"] = "cislo" }, ["tex"] = "-21", ["tex_float"] = "-21", ["x"] = -21 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.35", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 6 }, ["render"] = "1\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "16 - (-8)", ["typ"] = "minus" }, ["render"] = "(16 - (-8))", ["typ"] = "zavorka" }, ["render"] = "6 - (16 - (-8))", ["typ"] = "minus" }, ["render"] = "(6 - (16 - (-8)))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{1}{6} \\cdot (6 - (16 - (-8)))", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.36, bodu=29, $$\frac{-12 \cdot -12 + 8}{14}=\textcolor{white}{10\frac{6}{7}}$$return { ["body"] = 29, ["id"] = "1022_0640_unR2", ["obtiznost"] = 0.36, ["reseni"] = { ["float"] = 10.857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 76, ["jmenovatel"] = 7 }, ["render"] = "\\frac{152}{14}", ["typ"] = "cislo" }, ["tex"] = "10\\frac{6}{7}", ["x"] = 10, ["y"] = 6, ["z"] = 7 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.36", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot -12 + 8", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{-12 \\cdot -12 + 8}{14}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.37, bodu=95, $$2\frac{1}{6} \cdot 1\frac{4}{9} \cdot 6 - 4\frac{1}{6}=\textcolor{white}{14\frac{11}{18}}$$return { ["body"] = 95, ["id"] = "1022_0640_XQmB", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = 14.611111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = 263, ["jmenovatel"] = 18 }, ["render"] = "\\frac{789}{54}", ["typ"] = "cislo" }, ["tex"] = "14\\frac{11}{18}", ["x"] = 14, ["y"] = 11, ["z"] = 18 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.37", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{9} \\cdot 6", ["typ"] = "krat" }, ["render"] = "2\\frac{1}{6} \\cdot 1\\frac{4}{9} \\cdot 6", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "2\\frac{1}{6} \\cdot 1\\frac{4}{9} \\cdot 6 - 4\\frac{1}{6}", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.38, bodu=97, $$(4\frac{4}{7} - (4\frac{4}{6} - 8)) \cdot 1\frac{5}{10}=\textcolor{white}{11\frac{6}{7}}$$return { ["body"] = 97, ["id"] = "1022_0640_oL0o", ["obtiznost"] = 0.98, ["reseni"] = { ["float"] = 11.857142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = 83, ["jmenovatel"] = 7 }, ["render"] = "\\frac{498}{42}", ["typ"] = "cislo" }, ["tex"] = "11\\frac{6}{7}", ["x"] = 11, ["y"] = 6, ["z"] = 7 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.38", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 3 }, ["render"] = "4\\frac{4}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{6} - 8", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{6} - 8)", ["typ"] = "zavorka" }, ["render"] = "4\\frac{4}{7} - (4\\frac{4}{6} - 8)", ["typ"] = "minus" }, ["render"] = "(4\\frac{4}{7} - (4\\frac{4}{6} - 8))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "(4\\frac{4}{7} - (4\\frac{4}{6} - 8)) \\cdot 1\\frac{5}{10}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.39, bodu=15, $$10 + 14 + 11 - (-8) - 7=\textcolor{white}{36}$$return { ["body"] = 15, ["id"] = "1022_0640_3a58", ["obtiznost"] = 0.39, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 36, ["jmenovatel"] = 1 }, ["render"] = "\\frac{36}{1}", ["typ"] = "cislo" }, ["tex"] = "36", ["tex_float"] = "36", ["x"] = 36 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.39", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "10 + 14", ["typ"] = "plus" }, ["c2"] = { ["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"] = "10 + 14 + 11 - (-8)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "10 + 14 + 11 - (-8) - 7", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.4, bodu=32, $$\frac{\frac{-9}{-15} \cdot (9 - 13)}{7}=\textcolor{white}{-\frac{12}{35}}$$return { ["body"] = 32, ["id"] = "1022_0640_IhA3", ["obtiznost"] = 0.4, ["reseni"] = { ["float"] = -0.34285714285714, ["objekt"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 35 }, ["render"] = "\\frac{-12}{35}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{12}{35}", ["y"] = -12, ["z"] = 35 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.4", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-9}{-15}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "9 - 13", ["typ"] = "minus" }, ["render"] = "(9 - 13)", ["typ"] = "zavorka" }, ["render"] = "\\frac{-9}{-15} \\cdot (9 - 13)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{-9}{-15} \\cdot (9 - 13)}{7}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.41, bodu=33, $$(6 - 14) \cdot (\frac{16}{6} + (-8))=\textcolor{white}{42\frac{2}{3}}$$return { ["body"] = 33, ["id"] = "1022_0640_Po4F", ["obtiznost"] = 0.41, ["reseni"] = { ["float"] = 42.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = 128, ["jmenovatel"] = 3 }, ["render"] = "\\frac{128}{3}", ["typ"] = "cislo" }, ["tex"] = "42\\frac{2}{3}", ["x"] = 42, ["y"] = 2, ["z"] = 3 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.41", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "6 - 14", ["typ"] = "minus" }, ["render"] = "(6 - 14)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{6} + (-8)", ["typ"] = "plus" }, ["render"] = "(\\frac{16}{6} + (-8))", ["typ"] = "zavorka" }, ["render"] = "(6 - 14) \\cdot (\\frac{16}{6} + (-8))", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.42, bodu=34, $$-14 - 13 + \frac{7}{11 - 10}=\textcolor{white}{-20}$$return { ["body"] = 34, ["id"] = "1022_0640_0wg4", ["obtiznost"] = 0.42, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-20}{1}", ["typ"] = "cislo" }, ["tex"] = "-20", ["x"] = -20 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.42", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "-14 - 13", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "11 - 10", ["typ"] = "minus" }, ["render"] = "\\frac{7}{11 - 10}", ["typ"] = "lomeno" }, ["render"] = "-14 - 13 + \\frac{7}{11 - 10}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.43, bodu=35, $$-10 \cdot \frac{7}{-16 \cdot 5}=\textcolor{white}{0{,}875}$$return { ["body"] = 35, ["id"] = "1022_0640_L2hy", ["obtiznost"] = 0.43, ["reseni"] = { ["float"] = 0.875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 8 }, ["render"] = "\\frac{70}{80}", ["typ"] = "cislo" }, ["tex"] = "\\frac{7}{8}", ["tex_float"] = "0{,}875", ["y"] = 7, ["z"] = 8 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.43", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "-16 \\cdot 5", ["typ"] = "krat" }, ["render"] = "\\frac{7}{-16 \\cdot 5}", ["typ"] = "lomeno" }, ["render"] = "-10 \\cdot \\frac{7}{-16 \\cdot 5}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.44, bodu=56, $$\frac{-10 - \frac{-11}{6} + (-4)}{1\frac{2}{9}}=\textcolor{white}{-9\frac{21}{22}}$$return { ["body"] = 56, ["id"] = "1022_0640_Hs3w", ["obtiznost"] = 0.64, ["reseni"] = { ["float"] = -9.9545454545455, ["objekt"] = { ["hodnota"] = { ["citatel"] = -219, ["jmenovatel"] = 22 }, ["render"] = "\\frac{-657}{66}", ["typ"] = "cislo" }, ["tex"] = "-9\\frac{21}{22}", ["x"] = -9, ["y"] = 21, ["z"] = 22 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.44", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{6}", ["typ"] = "lomeno" }, ["render"] = "-10 - \\frac{-11}{6}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["render"] = "-10 - \\frac{-11}{6} + (-4)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10 - \\frac{-11}{6} + (-4)}{1\\frac{2}{9}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.45, bodu=57, $$\frac{11 - 5}{-17 - (7 - (-8 + 2\frac{4}{8}))}=\textcolor{white}{-\frac{12}{59}}$$return { ["body"] = 57, ["id"] = "1022_0640_FWpA", ["obtiznost"] = 0.65, ["reseni"] = { ["float"] = -0.20338983050847, ["objekt"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 59 }, ["render"] = "\\frac{12}{-59}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{12}{59}", ["y"] = -12, ["z"] = 59 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.45", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "11 - 5", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "-8 + 2\\frac{4}{8}", ["typ"] = "plus" }, ["render"] = "(-8 + 2\\frac{4}{8})", ["typ"] = "zavorka" }, ["render"] = "7 - (-8 + 2\\frac{4}{8})", ["typ"] = "minus" }, ["render"] = "(7 - (-8 + 2\\frac{4}{8}))", ["typ"] = "zavorka" }, ["render"] = "-17 - (7 - (-8 + 2\\frac{4}{8}))", ["typ"] = "minus" }, ["render"] = "\\frac{11 - 5}{-17 - (7 - (-8 + 2\\frac{4}{8}))}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.46, bodu=58, $$\frac{(10 + 6) \cdot 12}{2\frac{3}{5} \cdot -7}=\textcolor{white}{-10\frac{50}{91}}$$return { ["body"] = 58, ["id"] = "1022_0640_0mv7", ["obtiznost"] = 0.66, ["reseni"] = { ["float"] = -10.549450549451, ["objekt"] = { ["hodnota"] = { ["citatel"] = -960, ["jmenovatel"] = 91 }, ["render"] = "\\frac{960}{-91}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{50}{91}", ["x"] = -10, ["y"] = 50, ["z"] = 91 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.46", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "10 + 6", ["typ"] = "plus" }, ["render"] = "(10 + 6)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["render"] = "(10 + 6) \\cdot 12", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{3}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "2\\frac{3}{5} \\cdot -7", ["typ"] = "krat" }, ["render"] = "\\frac{(10 + 6) \\cdot 12}{2\\frac{3}{5} \\cdot -7}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.47, bodu=59, $$\frac{8}{\frac{1\frac{5}{11}}{6} \cdot -17 + 13}=\textcolor{white}{\frac{264}{293}}$$return { ["body"] = 59, ["id"] = "1022_0640_oteN", ["obtiznost"] = 0.67, ["reseni"] = { ["float"] = 0.90102389078498, ["objekt"] = { ["hodnota"] = { ["citatel"] = 264, ["jmenovatel"] = 293 }, ["render"] = "\\frac{264}{293}", ["typ"] = "cislo" }, ["tex"] = "\\frac{264}{293}", ["y"] = 264, ["z"] = 293 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.47", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{11}}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{11}}{6} \\cdot -17", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{11}}{6} \\cdot -17 + 13", ["typ"] = "plus" }, ["render"] = "\\frac{8}{\\frac{1\\frac{5}{11}}{6} \\cdot -17 + 13}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.48, bodu=84, $$\frac{-8 \cdot -3}{2\frac{5}{7} - (8 + 2\frac{2}{7})}=\textcolor{white}{-3\frac{9}{53}}$$return { ["body"] = 84, ["id"] = "1022_0640_3ciR", ["obtiznost"] = 0.88, ["reseni"] = { ["float"] = -3.1698113207547, ["objekt"] = { ["hodnota"] = { ["citatel"] = -168, ["jmenovatel"] = 53 }, ["render"] = "\\frac{168}{-53}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{9}{53}", ["x"] = -3, ["y"] = 9, ["z"] = 53 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.48", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "-8 \\cdot -3", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "8 + 2\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(8 + 2\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "2\\frac{5}{7} - (8 + 2\\frac{2}{7})", ["typ"] = "minus" }, ["render"] = "\\frac{-8 \\cdot -3}{2\\frac{5}{7} - (8 + 2\\frac{2}{7})}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.49, bodu=61, $$\frac{(14 - (-13 - (-8))) \cdot 4\frac{4}{8}}{-6}=\textcolor{white}{-14{,}25}$$return { ["body"] = 61, ["id"] = "1022_0640_8MqZ", ["obtiznost"] = 0.69, ["reseni"] = { ["float"] = -14.25, ["objekt"] = { ["hodnota"] = { ["citatel"] = -57, ["jmenovatel"] = 4 }, ["render"] = "\\frac{171}{-12}", ["typ"] = "cislo" }, ["tex"] = "-14\\frac{1}{4}", ["tex_float"] = "-14{,}25", ["x"] = -14, ["y"] = 1, ["z"] = 4 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.49", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-13 - (-8)", ["typ"] = "minus" }, ["render"] = "(-13 - (-8))", ["typ"] = "zavorka" }, ["render"] = "14 - (-13 - (-8))", ["typ"] = "minus" }, ["render"] = "(14 - (-13 - (-8)))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["render"] = "(14 - (-13 - (-8))) \\cdot 4\\frac{4}{8}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "\\frac{(14 - (-13 - (-8))) \\cdot 4\\frac{4}{8}}{-6}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.5, bodu=86, $$\frac{-5}{10 - (1\frac{2}{6} + 7)} - 2\frac{3}{8}=\textcolor{white}{-5{,}375}$$return { ["body"] = 86, ["id"] = "1022_0640_Lcw3", ["obtiznost"] = 0.9, ["reseni"] = { ["float"] = -5.375, ["objekt"] = { ["hodnota"] = { ["citatel"] = -43, ["jmenovatel"] = 8 }, ["render"] = "\\frac{-43}{8}", ["typ"] = "cislo" }, ["tex"] = "-5\\frac{3}{8}", ["tex_float"] = "-5{,}375", ["x"] = -5, ["y"] = 3, ["z"] = 8 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.5", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{6} + 7", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{6} + 7)", ["typ"] = "zavorka" }, ["render"] = "10 - (1\\frac{2}{6} + 7)", ["typ"] = "minus" }, ["render"] = "\\frac{-5}{10 - (1\\frac{2}{6} + 7)}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{-5}{10 - (1\\frac{2}{6} + 7)} - 2\\frac{3}{8}", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.51, bodu=63, $$\frac{5 + (-15 - (-14)) + (-15)}{\frac{3\frac{1}{6}}{9}}=\textcolor{white}{-31\frac{5}{19}}$$return { ["body"] = 63, ["id"] = "1022_0640_wmlW", ["obtiznost"] = 0.71, ["reseni"] = { ["float"] = -31.263157894737, ["objekt"] = { ["hodnota"] = { ["citatel"] = -594, ["jmenovatel"] = 19 }, ["render"] = "\\frac{-594}{19}", ["typ"] = "cislo" }, ["tex"] = "-31\\frac{5}{19}", ["x"] = -31, ["y"] = 5, ["z"] = 19 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.51", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-15 - (-14)", ["typ"] = "minus" }, ["render"] = "5 + (-15 - (-14))", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "5 + (-15 - (-14)) + (-15)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{1}{6}}{9}", ["typ"] = "lomeno" }, ["render"] = "\\frac{5 + (-15 - (-14)) + (-15)}{\\frac{3\\frac{1}{6}}{9}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.52, bodu=64, $$\frac{-10 + 6}{7 - (-12) - 1\frac{4}{10}}=\textcolor{white}{-\frac{5}{22}}$$return { ["body"] = 64, ["id"] = "1022_0640_yDLT", ["obtiznost"] = 0.72, ["reseni"] = { ["float"] = -0.22727272727273, ["objekt"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 22 }, ["render"] = "\\frac{-20}{88}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{5}{22}", ["y"] = -5, ["z"] = 22 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.52", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-10 + 6", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "7 - (-12)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["render"] = "7 - (-12) - 1\\frac{4}{10}", ["typ"] = "minus" }, ["render"] = "\\frac{-10 + 6}{7 - (-12) - 1\\frac{4}{10}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.53, bodu=22, $$(11 + (-7) - (-7)) \cdot 11 \cdot -14=\textcolor{white}{-1694}$$return { ["body"] = 22, ["id"] = "1022_0640_4oUj", ["obtiznost"] = 0.53, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -1694, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1694}{1}", ["typ"] = "cislo" }, ["tex"] = "-1694", ["x"] = -1694 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.53", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "11 + (-7)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "11 + (-7) - (-7)", ["typ"] = "minus" }, ["render"] = "(11 + (-7) - (-7))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "11 \\cdot -14", ["typ"] = "krat" }, ["render"] = "(11 + (-7) - (-7)) \\cdot 11 \\cdot -14", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.54, bodu=149, $$7 - (-16) - (3\frac{4}{10} + 1\frac{3}{10} + 1\frac{4}{6} + 3\frac{4}{8} + (-12))=\textcolor{white}{25\frac{2}{15}}$$return { ["body"] = 149, ["id"] = "1022_0640_0bFu", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = 25.133333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = 377, ["jmenovatel"] = 15 }, ["render"] = "\\frac{377}{15}", ["typ"] = "cislo" }, ["tex"] = "25\\frac{2}{15}", ["x"] = 25, ["y"] = 2, ["z"] = 15 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.54", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "7 - (-16)", ["typ"] = "minus" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} + 1\\frac{3}{10}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{10} + 1\\frac{3}{10} + 1\\frac{4}{6}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{8} + (-12)", ["typ"] = "plus" }, ["render"] = "3\\frac{4}{10} + 1\\frac{3}{10} + 1\\frac{4}{6} + 3\\frac{4}{8} + (-12)", ["typ"] = "plus" }, ["render"] = "(3\\frac{4}{10} + 1\\frac{3}{10} + 1\\frac{4}{6} + 3\\frac{4}{8} + (-12))", ["typ"] = "zavorka" }, ["render"] = "7 - (-16) - (3\\frac{4}{10} + 1\\frac{3}{10} + 1\\frac{4}{6} + 3\\frac{4}{8} + (-12))", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.55, bodu=93, $$(4\frac{5}{8} - 6) \cdot (7 + 5 \cdot 2\frac{1}{3})=\textcolor{white}{-25\frac{2}{3}}$$return { ["body"] = 93, ["id"] = "1022_0640_wi42", ["obtiznost"] = 0.95, ["reseni"] = { ["float"] = -25.666666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -77, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-616}{24}", ["typ"] = "cislo" }, ["tex"] = "-25\\frac{2}{3}", ["x"] = -25, ["y"] = 2, ["z"] = 3 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.55", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 37, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{8} - 6", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{8} - 6)", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{1}{3}", ["typ"] = "cislo" }, ["render"] = "5 \\cdot 2\\frac{1}{3}", ["typ"] = "krat" }, ["render"] = "7 + 5 \\cdot 2\\frac{1}{3}", ["typ"] = "plus" }, ["render"] = "(7 + 5 \\cdot 2\\frac{1}{3})", ["typ"] = "zavorka" }, ["render"] = "(4\\frac{5}{8} - 6) \\cdot (7 + 5 \\cdot 2\\frac{1}{3})", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.56, bodu=94, $$13 \cdot -11 + 12 - (4\frac{5}{7} - 2\frac{4}{11})=\textcolor{white}{-133\frac{27}{77}}$$return { ["body"] = 94, ["id"] = "1022_0640_CHyk", ["obtiznost"] = 0.96, ["reseni"] = { ["float"] = -133.35064935065, ["objekt"] = { ["hodnota"] = { ["citatel"] = -10268, ["jmenovatel"] = 77 }, ["render"] = "\\frac{-10268}{77}", ["typ"] = "cislo" }, ["tex"] = "-133\\frac{27}{77}", ["x"] = -133, ["y"] = 27, ["z"] = 77 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.56", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "13 \\cdot -11", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{5}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{7} - 2\\frac{4}{11}", ["typ"] = "minus" }, ["render"] = "(4\\frac{5}{7} - 2\\frac{4}{11})", ["typ"] = "zavorka" }, ["render"] = "12 - (4\\frac{5}{7} - 2\\frac{4}{11})", ["typ"] = "minus" }, ["render"] = "13 \\cdot -11 + 12 - (4\\frac{5}{7} - 2\\frac{4}{11})", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.57, bodu=95, $$11 + (-5 + 3\frac{2}{8}) \cdot -12 + 10 + 1\frac{2}{9}=\textcolor{white}{43\frac{2}{9}}$$return { ["body"] = 95, ["id"] = "1022_0640_J4QZ", ["obtiznost"] = 0.97, ["reseni"] = { ["float"] = 43.222222222222, ["objekt"] = { ["hodnota"] = { ["citatel"] = 389, ["jmenovatel"] = 9 }, ["render"] = "\\frac{389}{9}", ["typ"] = "cislo" }, ["tex"] = "43\\frac{2}{9}", ["x"] = 43, ["y"] = 2, ["z"] = 9 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.57", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "-5 + 3\\frac{2}{8}", ["typ"] = "plus" }, ["render"] = "(-5 + 3\\frac{2}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(-5 + 3\\frac{2}{8}) \\cdot -12", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "(-5 + 3\\frac{2}{8}) \\cdot -12 + 10", ["typ"] = "plus" }, ["render"] = "11 + (-5 + 3\\frac{2}{8}) \\cdot -12 + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{2}{9}", ["typ"] = "cislo" }, ["render"] = "11 + (-5 + 3\\frac{2}{8}) \\cdot -12 + 10 + 1\\frac{2}{9}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.58, bodu=71, $$(3 - (-7 - 1\frac{4}{6})) \cdot \frac{13}{-15}=\textcolor{white}{-10\frac{1}{9}}$$return { ["body"] = 71, ["id"] = "1022_0640_rsQv", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = -10.111111111111, ["objekt"] = { ["hodnota"] = { ["citatel"] = -91, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-455}{45}", ["typ"] = "cislo" }, ["tex"] = "-10\\frac{1}{9}", ["x"] = -10, ["y"] = 1, ["z"] = 9 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.58", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "-7 - 1\\frac{4}{6}", ["typ"] = "minus" }, ["render"] = "(-7 - 1\\frac{4}{6})", ["typ"] = "zavorka" }, ["render"] = "3 - (-7 - 1\\frac{4}{6})", ["typ"] = "minus" }, ["render"] = "(3 - (-7 - 1\\frac{4}{6}))", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{-15}", ["typ"] = "lomeno" }, ["render"] = "(3 - (-7 - 1\\frac{4}{6})) \\cdot \\frac{13}{-15}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.59, bodu=73, $$\frac{\frac{16}{1\frac{1}{7}}}{-13} + (-12) + (-14)=\textcolor{white}{-27\frac{1}{13}}$$return { ["body"] = 73, ["id"] = "1022_0640_Z8tl", ["obtiznost"] = 0.79, ["reseni"] = { ["float"] = -27.076923076923, ["objekt"] = { ["hodnota"] = { ["citatel"] = -352, ["jmenovatel"] = 13 }, ["render"] = "\\frac{-352}{13}", ["typ"] = "cislo" }, ["tex"] = "-27\\frac{1}{13}", ["x"] = -27, ["y"] = 1, ["z"] = 13 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.59", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{16}{1\\frac{1}{7}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{16}{1\\frac{1}{7}}}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{16}{1\\frac{1}{7}}}{-13} + (-12)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{16}{1\\frac{1}{7}}}{-13} + (-12) + (-14)", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.6, bodu=100, $$\frac{\frac{2\frac{5}{11}}{14} \cdot 9}{5} - 4\frac{1}{5}=\textcolor{white}{-3\frac{681}{770}}$$return { ["body"] = 100, ["id"] = "1022_0640_0fOL", ["obtiznost"] = 1, ["reseni"] = { ["float"] = -3.8844155844156, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2991, ["jmenovatel"] = 770 }, ["render"] = "\\frac{-14955}{3850}", ["typ"] = "cislo" }, ["tex"] = "-3\\frac{681}{770}", ["x"] = -3, ["y"] = 681, ["z"] = 770 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.6", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{11}}{14}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{5}{11}}{14} \\cdot 9", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{5}{11}}{14} \\cdot 9}{5}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{1}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{2\\frac{5}{11}}{14} \\cdot 9}{5} - 4\\frac{1}{5}", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.61, bodu=101, $$(1\frac{2}{5} + 7 - 1\frac{4}{11} + \frac{14}{-18}) \cdot -12=\textcolor{white}{-75\frac{17}{165}}$$return { ["body"] = 101, ["id"] = "1022_0640_4g0K", ["obtiznost"] = 1.01, ["reseni"] = { ["float"] = -75.10303030303, ["objekt"] = { ["hodnota"] = { ["citatel"] = -12392, ["jmenovatel"] = 165 }, ["render"] = "\\frac{-37176}{495}", ["typ"] = "cislo" }, ["tex"] = "-75\\frac{17}{165}", ["x"] = -75, ["y"] = 17, ["z"] = 165 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.61", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "7 - 1\\frac{4}{11}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{-18}", ["typ"] = "lomeno" }, ["render"] = "7 - 1\\frac{4}{11} + \\frac{14}{-18}", ["typ"] = "plus" }, ["render"] = "1\\frac{2}{5} + 7 - 1\\frac{4}{11} + \\frac{14}{-18}", ["typ"] = "plus" }, ["render"] = "(1\\frac{2}{5} + 7 - 1\\frac{4}{11} + \\frac{14}{-18})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "(1\\frac{2}{5} + 7 - 1\\frac{4}{11} + \\frac{14}{-18}) \\cdot -12", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.62, bodu=102, $$18 + \frac{-11}{18} - 3\frac{4}{6} + 8 \cdot 3\frac{4}{9}=\textcolor{white}{41\frac{5}{18}}$$return { ["body"] = 102, ["id"] = "1022_0640_eqVm", ["obtiznost"] = 1.02, ["reseni"] = { ["float"] = 41.277777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 743, ["jmenovatel"] = 18 }, ["render"] = "\\frac{6687}{162}", ["typ"] = "cislo" }, ["tex"] = "41\\frac{5}{18}", ["x"] = 41, ["y"] = 5, ["z"] = 18 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.62", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{18}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{-11}{18} - 3\\frac{4}{6}", ["typ"] = "minus" }, ["render"] = "18 + \\frac{-11}{18} - 3\\frac{4}{6}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "8 \\cdot 3\\frac{4}{9}", ["typ"] = "krat" }, ["render"] = "18 + \\frac{-11}{18} - 3\\frac{4}{6} + 8 \\cdot 3\\frac{4}{9}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.63, bodu=104, $$(-20 + 6) \cdot 3\frac{2}{6} \cdot 1\frac{2}{7} \cdot 7=\textcolor{white}{-420}$$return { ["body"] = 104, ["id"] = "1022_0640_xiof", ["obtiznost"] = 1.03, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -420, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-1260}{3}", ["typ"] = "cislo" }, ["tex"] = "-420", ["x"] = -420 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.63", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "-20 + 6", ["typ"] = "plus" }, ["render"] = "(-20 + 6)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "(-20 + 6) \\cdot 3\\frac{2}{6}", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{7} \\cdot 7", ["typ"] = "krat" }, ["render"] = "(-20 + 6) \\cdot 3\\frac{2}{6} \\cdot 1\\frac{2}{7} \\cdot 7", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.64, bodu=105, $$-9 + 11 + 1\frac{5}{9} + 3\frac{5}{9} + (12 - (-10)) \cdot -8=\textcolor{white}{-168\frac{8}{9}}$$return { ["body"] = 105, ["id"] = "1022_0640_cxaR", ["obtiznost"] = 1.04, ["reseni"] = { ["float"] = -168.88888888889, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1520, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-1520}{9}", ["typ"] = "cislo" }, ["tex"] = "-168\\frac{8}{9}", ["x"] = -168, ["y"] = 8, ["z"] = 9 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.64", ["zadani"] = { ["c1"] = { ["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"] = 14, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{5}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 32, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{5}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{9} + 3\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "11 + 1\\frac{5}{9} + 3\\frac{5}{9}", ["typ"] = "plus" }, ["render"] = "-9 + 11 + 1\\frac{5}{9} + 3\\frac{5}{9}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "12 - (-10)", ["typ"] = "minus" }, ["render"] = "(12 - (-10))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "(12 - (-10)) \\cdot -8", ["typ"] = "krat" }, ["render"] = "-9 + 11 + 1\\frac{5}{9} + 3\\frac{5}{9} + (12 - (-10)) \\cdot -8", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.65, bodu=106, $$\frac{1\frac{5}{8} + (-15)}{\frac{1\frac{4}{10} + (-16) + 10}{-20} + 9}=\textcolor{white}{-1\frac{829}{1846}}$$return { ["body"] = 106, ["id"] = "1022_0640_XrwJ", ["obtiznost"] = 1.05, ["reseni"] = { ["float"] = -1.4490790899242, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2675, ["jmenovatel"] = 1846 }, ["render"] = "\\frac{-10700}{7384}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{829}{1846}", ["x"] = -1, ["y"] = 829, ["z"] = 1846 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.65", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{8} + (-15)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{4}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} + (-16)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "1\\frac{4}{10} + (-16) + 10", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{10} + (-16) + 10}{-20}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{4}{10} + (-16) + 10}{-20} + 9", ["typ"] = "plus" }, ["render"] = "\\frac{1\\frac{5}{8} + (-15)}{\\frac{1\\frac{4}{10} + (-16) + 10}{-20} + 9}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.66, bodu=81, $$\frac{8 + (-16)}{-9} \cdot (3\frac{4}{9} + (-6) - (-10))=\textcolor{white}{6\frac{50}{81}}$$return { ["body"] = 81, ["id"] = "1022_0640_4rFS", ["obtiznost"] = 0.86, ["reseni"] = { ["float"] = 6.6172839506173, ["objekt"] = { ["hodnota"] = { ["citatel"] = 536, ["jmenovatel"] = 81 }, ["render"] = "\\frac{536}{81}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{50}{81}", ["x"] = 6, ["y"] = 50, ["z"] = 81 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.66", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "8 + (-16)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{8 + (-16)}{-9}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} + (-6)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} + (-6) - (-10)", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{9} + (-6) - (-10))", ["typ"] = "zavorka" }, ["render"] = "\\frac{8 + (-16)}{-9} \\cdot (3\\frac{4}{9} + (-6) - (-10))", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.67, bodu=109, $$\frac{1\frac{1}{7}}{11} - (13 - (-14 + 3\frac{5}{8} - 17))=\textcolor{white}{-40\frac{167}{616}}$$return { ["body"] = 109, ["id"] = "1022_0640_wTm9", ["obtiznost"] = 1.07, ["reseni"] = { ["float"] = -40.271103896104, ["objekt"] = { ["hodnota"] = { ["citatel"] = -24807, ["jmenovatel"] = 616 }, ["render"] = "\\frac{-24807}{616}", ["typ"] = "cislo" }, ["tex"] = "-40\\frac{167}{616}", ["x"] = -40, ["y"] = 167, ["z"] = 616 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.67", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{1}{7}}{11}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 8 }, ["render"] = "3\\frac{5}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{8} - 17", ["typ"] = "minus" }, ["render"] = "-14 + 3\\frac{5}{8} - 17", ["typ"] = "plus" }, ["render"] = "(-14 + 3\\frac{5}{8} - 17)", ["typ"] = "zavorka" }, ["render"] = "13 - (-14 + 3\\frac{5}{8} - 17)", ["typ"] = "minus" }, ["render"] = "(13 - (-14 + 3\\frac{5}{8} - 17))", ["typ"] = "zavorka" }, ["render"] = "\\frac{1\\frac{1}{7}}{11} - (13 - (-14 + 3\\frac{5}{8} - 17))", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.68, bodu=140, $$3\frac{4}{13} \cdot (3\frac{2}{6} - \frac{3\frac{2}{8}}{8 - 13})=\textcolor{white}{13\frac{137}{780}}$$return { ["body"] = 140, ["id"] = "1022_0640_FfEP", ["obtiznost"] = 1.28, ["reseni"] = { ["float"] = 13.175641025641, ["objekt"] = { ["hodnota"] = { ["citatel"] = 10277, ["jmenovatel"] = 780 }, ["render"] = "\\frac{10277}{780}", ["typ"] = "cislo" }, ["tex"] = "13\\frac{137}{780}", ["x"] = 13, ["y"] = 137, ["z"] = 780 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.68", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 43, ["jmenovatel"] = 13 }, ["render"] = "3\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "8 - 13", ["typ"] = "minus" }, ["render"] = "\\frac{3\\frac{2}{8}}{8 - 13}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{2}{6} - \\frac{3\\frac{2}{8}}{8 - 13}", ["typ"] = "minus" }, ["render"] = "(3\\frac{2}{6} - \\frac{3\\frac{2}{8}}{8 - 13})", ["typ"] = "zavorka" }, ["render"] = "3\\frac{4}{13} \\cdot (3\\frac{2}{6} - \\frac{3\\frac{2}{8}}{8 - 13})", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.69, bodu=112, $$(-17 - 3\frac{5}{10} + (-6 \cdot (-12 + 1\frac{2}{4}))) \cdot (7 + (-15))=\textcolor{white}{-340}$$return { ["body"] = 112, ["id"] = "1022_0640_DkwB", ["obtiznost"] = 1.09, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -340, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-680}{2}", ["typ"] = "cislo" }, ["tex"] = "-340", ["tex_float"] = "-340", ["x"] = -340 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.69", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "-17 - 3\\frac{5}{10}", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{2}{4}", ["typ"] = "cislo" }, ["render"] = "-12 + 1\\frac{2}{4}", ["typ"] = "plus" }, ["render"] = "(-12 + 1\\frac{2}{4})", ["typ"] = "zavorka" }, ["render"] = "-6 \\cdot (-12 + 1\\frac{2}{4})", ["typ"] = "krat" }, ["render"] = "-17 - 3\\frac{5}{10} + (-6 \\cdot (-12 + 1\\frac{2}{4}))", ["typ"] = "plus" }, ["render"] = "(-17 - 3\\frac{5}{10} + (-6 \\cdot (-12 + 1\\frac{2}{4})))", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "7 + (-15)", ["typ"] = "plus" }, ["render"] = "(7 + (-15))", ["typ"] = "zavorka" }, ["render"] = "(-17 - 3\\frac{5}{10} + (-6 \\cdot (-12 + 1\\frac{2}{4}))) \\cdot (7 + (-15))", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.7, bodu=113, $$3\frac{2}{11} + (-20) + 16 \cdot (\frac{10}{-11} + 3\frac{2}{7})=\textcolor{white}{21\frac{16}{77}}$$return { ["body"] = 113, ["id"] = "1022_0640_C5Fd", ["obtiznost"] = 1.1, ["reseni"] = { ["float"] = 21.207792207792, ["objekt"] = { ["hodnota"] = { ["citatel"] = 1633, ["jmenovatel"] = 77 }, ["render"] = "\\frac{17963}{847}", ["typ"] = "cislo" }, ["tex"] = "21\\frac{16}{77}", ["x"] = 21, ["y"] = 16, ["z"] = 77 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.7", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 35, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{11} + (-20)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-11}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 7 }, ["render"] = "3\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{10}{-11} + 3\\frac{2}{7}", ["typ"] = "plus" }, ["render"] = "(\\frac{10}{-11} + 3\\frac{2}{7})", ["typ"] = "zavorka" }, ["render"] = "16 \\cdot (\\frac{10}{-11} + 3\\frac{2}{7})", ["typ"] = "krat" }, ["render"] = "3\\frac{2}{11} + (-20) + 16 \\cdot (\\frac{10}{-11} + 3\\frac{2}{7})", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.71, bodu=88, $$\frac{-10}{9 + (-13 \cdot -15)} - (-12 - 4\frac{1}{8})=\textcolor{white}{16\frac{31}{408}}$$return { ["body"] = 88, ["id"] = "1022_0640_HSeW", ["obtiznost"] = 0.91, ["reseni"] = { ["float"] = 16.075980392157, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6559, ["jmenovatel"] = 408 }, ["render"] = "\\frac{13118}{816}", ["typ"] = "cislo" }, ["tex"] = "16\\frac{31}{408}", ["x"] = 16, ["y"] = 31, ["z"] = 408 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.71", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["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"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "-13 \\cdot -15", ["typ"] = "krat" }, ["render"] = "9 + (-13 \\cdot -15)", ["typ"] = "plus" }, ["render"] = "\\frac{-10}{9 + (-13 \\cdot -15)}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 33, ["jmenovatel"] = 8 }, ["render"] = "4\\frac{1}{8}", ["typ"] = "cislo" }, ["render"] = "-12 - 4\\frac{1}{8}", ["typ"] = "minus" }, ["render"] = "(-12 - 4\\frac{1}{8})", ["typ"] = "zavorka" }, ["render"] = "\\frac{-10}{9 + (-13 \\cdot -15)} - (-12 - 4\\frac{1}{8})", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.72, bodu=146, $$2\frac{5}{10} + 1\frac{2}{8} \cdot (-16 + (-9 \cdot 4\frac{1}{7})) - 8=\textcolor{white}{-72\frac{3}{28}}$$return { ["body"] = 146, ["id"] = "1022_0640_MjgE", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = -72.107142857143, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2019, ["jmenovatel"] = 28 }, ["render"] = "\\frac{-2019}{28}", ["typ"] = "cislo" }, ["tex"] = "-72\\frac{3}{28}", ["x"] = -72, ["y"] = 3, ["z"] = 28 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.72", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 29, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "-9 \\cdot 4\\frac{1}{7}", ["typ"] = "krat" }, ["render"] = "-16 + (-9 \\cdot 4\\frac{1}{7})", ["typ"] = "plus" }, ["render"] = "(-16 + (-9 \\cdot 4\\frac{1}{7}))", ["typ"] = "zavorka" }, ["render"] = "1\\frac{2}{8} \\cdot (-16 + (-9 \\cdot 4\\frac{1}{7}))", ["typ"] = "krat" }, ["render"] = "2\\frac{5}{10} + 1\\frac{2}{8} \\cdot (-16 + (-9 \\cdot 4\\frac{1}{7}))", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "2\\frac{5}{10} + 1\\frac{2}{8} \\cdot (-16 + (-9 \\cdot 4\\frac{1}{7})) - 8", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.73, bodu=90, $$(5 + 1\frac{3}{8}) \cdot -10 \cdot -3 \cdot -12=\textcolor{white}{-2295}$$return { ["body"] = 90, ["id"] = "1022_0640_QFQj", ["obtiznost"] = 0.93, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = -2295, ["jmenovatel"] = 1 }, ["render"] = "\\frac{-9180}{4}", ["typ"] = "cislo" }, ["tex"] = "-2295", ["x"] = -2295 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.73", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 8 }, ["render"] = "1\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "5 + 1\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "(5 + 1\\frac{3}{8})", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "(5 + 1\\frac{3}{8}) \\cdot -10", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["render"] = "-3 \\cdot -12", ["typ"] = "krat" }, ["render"] = "(5 + 1\\frac{3}{8}) \\cdot -10 \\cdot -3 \\cdot -12", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.74, bodu=149, $$\frac{\frac{3\frac{4}{8} \cdot 1\frac{1}{4} - (-16)}{-9}}{4\frac{2}{8}}=\textcolor{white}{-\frac{163}{306}}$$return { ["body"] = 149, ["id"] = "1022_0640_Vrse", ["obtiznost"] = 1.34, ["reseni"] = { ["float"] = -0.53267973856209, ["objekt"] = { ["hodnota"] = { ["citatel"] = -163, ["jmenovatel"] = 306 }, ["render"] = "\\frac{-652}{1224}", ["typ"] = "cislo" }, ["tex"] = "-\\frac{163}{306}", ["y"] = -163, ["z"] = 306 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.74", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 2 }, ["render"] = "3\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{8} \\cdot 1\\frac{1}{4}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -16, ["jmenovatel"] = 1 }, ["render"] = "-16", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{8} \\cdot 1\\frac{1}{4} - (-16)", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{4}{8} \\cdot 1\\frac{1}{4} - (-16)}{-9}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{3\\frac{4}{8} \\cdot 1\\frac{1}{4} - (-16)}{-9}}{4\\frac{2}{8}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.75, bodu=120, $$(-13 - \frac{1\frac{3}{11}}{20}) \cdot (-4 - 2\frac{1}{9} + (-19))=\textcolor{white}{328\frac{7}{165}}$$return { ["body"] = 120, ["id"] = "1022_0640_4hCO", ["obtiznost"] = 1.15, ["reseni"] = { ["float"] = 328.04242424242, ["objekt"] = { ["hodnota"] = { ["citatel"] = 54127, ["jmenovatel"] = 165 }, ["render"] = "\\frac{324762}{990}", ["typ"] = "cislo" }, ["tex"] = "328\\frac{7}{165}", ["x"] = 328, ["y"] = 7, ["z"] = 165 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.75", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{3}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{3}{11}}{20}", ["typ"] = "lomeno" }, ["render"] = "-13 - \\frac{1\\frac{3}{11}}{20}", ["typ"] = "minus" }, ["render"] = "(-13 - \\frac{1\\frac{3}{11}}{20})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -4, ["jmenovatel"] = 1 }, ["render"] = "-4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "-4 - 2\\frac{1}{9}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "-4 - 2\\frac{1}{9} + (-19)", ["typ"] = "plus" }, ["render"] = "(-4 - 2\\frac{1}{9} + (-19))", ["typ"] = "zavorka" }, ["render"] = "(-13 - \\frac{1\\frac{3}{11}}{20}) \\cdot (-4 - 2\\frac{1}{9} + (-19))", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.76, bodu=185, $$(3\frac{4}{9} - 1\frac{2}{7} \cdot 2\frac{1}{7} - (-14)) \cdot 1\frac{3}{7}=\textcolor{white}{20\frac{3040}{3087}}$$return { ["body"] = 185, ["id"] = "1022_0640_cQgw", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = 20.984774862326, ["objekt"] = { ["hodnota"] = { ["citatel"] = 64780, ["jmenovatel"] = 3087 }, ["render"] = "\\frac{64780}{3087}", ["typ"] = "cislo" }, ["tex"] = "20\\frac{3040}{3087}", ["x"] = 20, ["y"] = 3040, ["z"] = 3087 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.76", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 9 }, ["render"] = "3\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "1\\frac{2}{7} \\cdot 2\\frac{1}{7}", ["typ"] = "krat" }, ["render"] = "3\\frac{4}{9} - 1\\frac{2}{7} \\cdot 2\\frac{1}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{9} - 1\\frac{2}{7} \\cdot 2\\frac{1}{7} - (-14)", ["typ"] = "minus" }, ["render"] = "(3\\frac{4}{9} - 1\\frac{2}{7} \\cdot 2\\frac{1}{7} - (-14))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "(3\\frac{4}{9} - 1\\frac{2}{7} \\cdot 2\\frac{1}{7} - (-14)) \\cdot 1\\frac{3}{7}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.77, bodu=154, $$\frac{-13 + 18 - \frac{1\frac{4}{7}}{\frac{-10}{1\frac{2}{7}}}}{4\frac{3}{5}}=\textcolor{white}{1\frac{295}{2254}}$$return { ["body"] = 154, ["id"] = "1022_0640_m4CN", ["obtiznost"] = 1.37, ["reseni"] = { ["float"] = 1.1308784383319, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2549, ["jmenovatel"] = 2254 }, ["render"] = "\\frac{12745}{11270}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{295}{2254}", ["x"] = 1, ["y"] = 295, ["z"] = 2254 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.77", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{4}{7}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{1\\frac{2}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{4}{7}}{\\frac{-10}{1\\frac{2}{7}}}", ["typ"] = "lomeno" }, ["render"] = "18 - \\frac{1\\frac{4}{7}}{\\frac{-10}{1\\frac{2}{7}}}", ["typ"] = "minus" }, ["render"] = "-13 + 18 - \\frac{1\\frac{4}{7}}{\\frac{-10}{1\\frac{2}{7}}}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{3}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{-13 + 18 - \\frac{1\\frac{4}{7}}{\\frac{-10}{1\\frac{2}{7}}}}{4\\frac{3}{5}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.78, bodu=71, $$19 + \frac{-8 + \frac{-14}{-7}}{11 + (-11) + 5}=\textcolor{white}{17{,}8}$$return { ["body"] = 71, ["id"] = "1022_0640_E5d1", ["obtiznost"] = 0.78, ["reseni"] = { ["float"] = 17.8, ["objekt"] = { ["hodnota"] = { ["citatel"] = 89, ["jmenovatel"] = 5 }, ["render"] = "\\frac{89}{5}", ["typ"] = "cislo" }, ["tex"] = "17\\frac{4}{5}", ["tex_float"] = "17{,}8", ["x"] = 17, ["y"] = 4, ["z"] = 5 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.78", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "\\frac{-14}{-7}", ["typ"] = "lomeno" }, ["render"] = "-8 + \\frac{-14}{-7}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "11 + (-11)", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["render"] = "11 + (-11) + 5", ["typ"] = "plus" }, ["render"] = "\\frac{-8 + \\frac{-14}{-7}}{11 + (-11) + 5}", ["typ"] = "lomeno" }, ["render"] = "19 + \\frac{-8 + \\frac{-14}{-7}}{11 + (-11) + 5}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.79, bodu=190, $$(12 + 2\frac{5}{11}) \cdot (\frac{-5 + 2\frac{2}{10}}{3\frac{5}{11} + 1\frac{4}{11}} - (-15))=\textcolor{white}{208\frac{23}{55}}$$return { ["body"] = 190, ["id"] = "1022_0640_nEe6", ["obtiznost"] = 1.59, ["reseni"] = { ["float"] = 208.41818181818, ["objekt"] = { ["hodnota"] = { ["citatel"] = 11463, ["jmenovatel"] = 55 }, ["render"] = "\\frac{607539}{2915}", ["typ"] = "cislo" }, ["tex"] = "208\\frac{23}{55}", ["x"] = 208, ["y"] = 23, ["z"] = 55 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.79", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 27, ["jmenovatel"] = 11 }, ["render"] = "2\\frac{5}{11}", ["typ"] = "cislo" }, ["render"] = "12 + 2\\frac{5}{11}", ["typ"] = "plus" }, ["render"] = "(12 + 2\\frac{5}{11})", ["typ"] = "zavorka" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 5 }, ["render"] = "2\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "-5 + 2\\frac{2}{10}", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 38, ["jmenovatel"] = 11 }, ["render"] = "3\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{4}{11}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{11} + 1\\frac{4}{11}", ["typ"] = "plus" }, ["render"] = "\\frac{-5 + 2\\frac{2}{10}}{3\\frac{5}{11} + 1\\frac{4}{11}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "\\frac{-5 + 2\\frac{2}{10}}{3\\frac{5}{11} + 1\\frac{4}{11}} - (-15)", ["typ"] = "minus" }, ["render"] = "(\\frac{-5 + 2\\frac{2}{10}}{3\\frac{5}{11} + 1\\frac{4}{11}} - (-15))", ["typ"] = "zavorka" }, ["render"] = "(12 + 2\\frac{5}{11}) \\cdot (\\frac{-5 + 2\\frac{2}{10}}{3\\frac{5}{11} + 1\\frac{4}{11}} - (-15))", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.8, bodu=128, $$\frac{3\frac{2}{3} \cdot ((-11 + 7) \cdot 13 - 4)}{1\frac{2}{5}}=\textcolor{white}{-146\frac{2}{3}}$$return { ["body"] = 128, ["id"] = "1022_0640_5Z86", ["obtiznost"] = 1.2, ["reseni"] = { ["float"] = -146.66666666667, ["objekt"] = { ["hodnota"] = { ["citatel"] = -440, ["jmenovatel"] = 3 }, ["render"] = "\\frac{-3080}{21}", ["typ"] = "cislo" }, ["tex"] = "-146\\frac{2}{3}", ["x"] = -146, ["y"] = 2, ["z"] = 3 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.8", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{2}{3}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "-11 + 7", ["typ"] = "plus" }, ["render"] = "(-11 + 7)", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "(-11 + 7) \\cdot 13", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["render"] = "(-11 + 7) \\cdot 13 - 4", ["typ"] = "minus" }, ["render"] = "((-11 + 7) \\cdot 13 - 4)", ["typ"] = "zavorka" }, ["render"] = "3\\frac{2}{3} \\cdot ((-11 + 7) \\cdot 13 - 4)", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 5 }, ["render"] = "1\\frac{2}{5}", ["typ"] = "cislo" }, ["render"] = "\\frac{3\\frac{2}{3} \\cdot ((-11 + 7) \\cdot 13 - 4)}{1\\frac{2}{5}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.81, bodu=75, $$(12 - 13) \cdot \frac{18}{-13} \cdot \frac{-10}{11}=\textcolor{white}{-1\frac{37}{143}}$$return { ["body"] = 75, ["id"] = "1022_0640_ykGw", ["obtiznost"] = 0.81, ["reseni"] = { ["float"] = -1.2587412587413, ["objekt"] = { ["hodnota"] = { ["citatel"] = -180, ["jmenovatel"] = 143 }, ["render"] = "\\frac{-180}{143}", ["typ"] = "cislo" }, ["tex"] = "-1\\frac{37}{143}", ["x"] = -1, ["y"] = 37, ["z"] = 143 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.81", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 1 }, ["render"] = "12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "12 - 13", ["typ"] = "minus" }, ["render"] = "(12 - 13)", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["render"] = "\\frac{-10}{11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{18}{-13} \\cdot \\frac{-10}{11}", ["typ"] = "krat" }, ["render"] = "(12 - 13) \\cdot \\frac{18}{-13} \\cdot \\frac{-10}{11}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.82, bodu=131, $$\frac{1\frac{5}{12}}{-19} - (4 - 4\frac{3}{7}) + 17 \cdot -9=\textcolor{white}{-152\frac{1031}{1596}}$$return { ["body"] = 131, ["id"] = "1022_0640_qGLq", ["obtiznost"] = 1.22, ["reseni"] = { ["float"] = -152.64598997494, ["objekt"] = { ["hodnota"] = { ["citatel"] = -243623, ["jmenovatel"] = 1596 }, ["render"] = "\\frac{-243623}{1596}", ["typ"] = "cislo" }, ["tex"] = "-152\\frac{1031}{1596}", ["x"] = -152, ["y"] = 1031, ["z"] = 1596 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.82", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 12 }, ["render"] = "1\\frac{5}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -19, ["jmenovatel"] = 1 }, ["render"] = "-19", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{12}}{-19}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 1 }, ["render"] = "4", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 7 }, ["render"] = "4\\frac{3}{7}", ["typ"] = "cislo" }, ["render"] = "4 - 4\\frac{3}{7}", ["typ"] = "minus" }, ["render"] = "(4 - 4\\frac{3}{7})", ["typ"] = "zavorka" }, ["render"] = "\\frac{1\\frac{5}{12}}{-19} - (4 - 4\\frac{3}{7})", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "17 \\cdot -9", ["typ"] = "krat" }, ["render"] = "\\frac{1\\frac{5}{12}}{-19} - (4 - 4\\frac{3}{7}) + 17 \\cdot -9", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.83, bodu=132, $$\frac{-18 + 18}{\frac{1\frac{1}{4}}{\frac{-13}{4\frac{3}{6} + 18}}}=\textcolor{white}{0}$$return { ["body"] = 132, ["id"] = "1022_0640_TELS", ["obtiznost"] = 1.23, ["reseni"] = { ["objekt"] = { ["hodnota"] = { ["citatel"] = 0, ["jmenovatel"] = 1 }, ["render"] = "\\frac{0}{-225}", ["typ"] = "cislo" }, ["tex"] = "0", ["x"] = 0 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.83", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "-18 + 18", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{3}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{6} + 18", ["typ"] = "plus" }, ["render"] = "\\frac{-13}{4\\frac{3}{6} + 18}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{1}{4}}{\\frac{-13}{4\\frac{3}{6} + 18}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-18 + 18}{\\frac{1\\frac{1}{4}}{\\frac{-13}{4\\frac{3}{6} + 18}}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.84, bodu=165, $$(1\frac{1}{9} + 9 \cdot 2\frac{2}{6} - (11 - (2\frac{4}{13} - (-9)))) \cdot -13=\textcolor{white}{-291\frac{4}{9}}$$return { ["body"] = 165, ["id"] = "1022_0640_Dhgd", ["obtiznost"] = 1.44, ["reseni"] = { ["float"] = -291.44444444444, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2623, ["jmenovatel"] = 9 }, ["render"] = "\\frac{-34099}{117}", ["typ"] = "cislo" }, ["tex"] = "-291\\frac{4}{9}", ["x"] = -291, ["y"] = 4, ["z"] = 9 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.84", ["zadani"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 9 }, ["render"] = "1\\frac{1}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["render"] = "9 \\cdot 2\\frac{2}{6}", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -9, ["jmenovatel"] = 1 }, ["render"] = "-9", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{13} - (-9)", ["typ"] = "minus" }, ["render"] = "(2\\frac{4}{13} - (-9))", ["typ"] = "zavorka" }, ["render"] = "11 - (2\\frac{4}{13} - (-9))", ["typ"] = "minus" }, ["render"] = "(11 - (2\\frac{4}{13} - (-9)))", ["typ"] = "zavorka" }, ["render"] = "9 \\cdot 2\\frac{2}{6} - (11 - (2\\frac{4}{13} - (-9)))", ["typ"] = "minus" }, ["render"] = "1\\frac{1}{9} + 9 \\cdot 2\\frac{2}{6} - (11 - (2\\frac{4}{13} - (-9)))", ["typ"] = "plus" }, ["render"] = "(1\\frac{1}{9} + 9 \\cdot 2\\frac{2}{6} - (11 - (2\\frac{4}{13} - (-9))))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "(1\\frac{1}{9} + 9 \\cdot 2\\frac{2}{6} - (11 - (2\\frac{4}{13} - (-9)))) \\cdot -13", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.85, bodu=135, $$\frac{-12 - 17}{\frac{-5 + (-8)}{3\frac{5}{6} \cdot 1\frac{1}{7}}}=\textcolor{white}{9\frac{211}{273}}$$return { ["body"] = 135, ["id"] = "1022_0640_Mt87", ["obtiznost"] = 1.25, ["reseni"] = { ["float"] = 9.7728937728938, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2668, ["jmenovatel"] = 273 }, ["render"] = "\\frac{-2668}{-273}", ["typ"] = "cislo" }, ["tex"] = "9\\frac{211}{273}", ["x"] = 9, ["y"] = 211, ["z"] = 273 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.85", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "-12 - 17", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -5, ["jmenovatel"] = 1 }, ["render"] = "-5", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -8, ["jmenovatel"] = 1 }, ["render"] = "-8", ["typ"] = "cislo" }, ["render"] = "-5 + (-8)", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 23, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{5}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "3\\frac{5}{6} \\cdot 1\\frac{1}{7}", ["typ"] = "krat" }, ["render"] = "\\frac{-5 + (-8)}{3\\frac{5}{6} \\cdot 1\\frac{1}{7}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{-12 - 17}{\\frac{-5 + (-8)}{3\\frac{5}{6} \\cdot 1\\frac{1}{7}}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.86, bodu=108, $$\frac{7}{\frac{-22}{-11}} + (-11 \cdot 4\frac{3}{13}) + (-10)=\textcolor{white}{-53\frac{1}{26}}$$return { ["body"] = 108, ["id"] = "1022_0640_2FIM", ["obtiznost"] = 1.06, ["reseni"] = { ["float"] = -53.038461538462, ["objekt"] = { ["hodnota"] = { ["citatel"] = -1379, ["jmenovatel"] = 26 }, ["render"] = "\\frac{-1379}{26}", ["typ"] = "cislo" }, ["tex"] = "-53\\frac{1}{26}", ["x"] = -53, ["y"] = 1, ["z"] = 26 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.86", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["render"] = "\\frac{-22}{-11}", ["typ"] = "lomeno" }, ["render"] = "\\frac{7}{\\frac{-22}{-11}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -11, ["jmenovatel"] = 1 }, ["render"] = "-11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 55, ["jmenovatel"] = 13 }, ["render"] = "4\\frac{3}{13}", ["typ"] = "cislo" }, ["render"] = "-11 \\cdot 4\\frac{3}{13}", ["typ"] = "krat" }, ["render"] = "\\frac{7}{\\frac{-22}{-11}} + (-11 \\cdot 4\\frac{3}{13})", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -10, ["jmenovatel"] = 1 }, ["render"] = "-10", ["typ"] = "cislo" }, ["render"] = "\\frac{7}{\\frac{-22}{-11}} + (-11 \\cdot 4\\frac{3}{13}) + (-10)", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.87, bodu=138, $$5 + \frac{-12 \cdot -14 \cdot -15}{3\frac{1}{6} - 2\frac{3}{8}}=\textcolor{white}{-3178\frac{3}{19}}$$return { ["body"] = 138, ["id"] = "1022_0640_efxP", ["obtiznost"] = 1.27, ["reseni"] = { ["float"] = -3178.1578947368, ["objekt"] = { ["hodnota"] = { ["citatel"] = -60385, ["jmenovatel"] = 19 }, ["render"] = "\\frac{-60385}{19}", ["typ"] = "cislo" }, ["tex"] = "-3178\\frac{3}{19}", ["x"] = -3178, ["y"] = 3, ["z"] = 19 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.87", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 1 }, ["render"] = "5", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -12, ["jmenovatel"] = 1 }, ["render"] = "-12", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "-12 \\cdot -14 \\cdot -15", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "3\\frac{1}{6} - 2\\frac{3}{8}", ["typ"] = "minus" }, ["render"] = "\\frac{-12 \\cdot -14 \\cdot -15}{3\\frac{1}{6} - 2\\frac{3}{8}}", ["typ"] = "lomeno" }, ["render"] = "5 + \\frac{-12 \\cdot -14 \\cdot -15}{3\\frac{1}{6} - 2\\frac{3}{8}}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.88, bodu=140, $$\frac{11}{6} - \frac{15}{-17} \cdot (2\frac{4}{8} + 2\frac{3}{8})=\textcolor{white}{6\frac{55}{408}}$$return { ["body"] = 140, ["id"] = "1022_0640_4aM4", ["obtiznost"] = 1.28, ["reseni"] = { ["float"] = 6.1348039215686, ["objekt"] = { ["hodnota"] = { ["citatel"] = 2503, ["jmenovatel"] = 408 }, ["render"] = "\\frac{5006}{816}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{55}{408}", ["x"] = 6, ["y"] = 55, ["z"] = 408 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.88", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 11, ["jmenovatel"] = 1 }, ["render"] = "11", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["render"] = "\\frac{11}{6}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "\\frac{15}{-17}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 2 }, ["render"] = "2\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 8 }, ["render"] = "2\\frac{3}{8}", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{8} + 2\\frac{3}{8}", ["typ"] = "plus" }, ["render"] = "(2\\frac{4}{8} + 2\\frac{3}{8})", ["typ"] = "zavorka" }, ["render"] = "\\frac{15}{-17} \\cdot (2\\frac{4}{8} + 2\\frac{3}{8})", ["typ"] = "krat" }, ["render"] = "\\frac{11}{6} - \\frac{15}{-17} \\cdot (2\\frac{4}{8} + 2\\frac{3}{8})", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.89, bodu=243, $$\frac{(10 + 4\frac{2}{10}) \cdot \frac{4\frac{2}{11}}{1\frac{2}{8}}}{2\frac{1}{10}} + 1\frac{1}{7}=\textcolor{white}{23\frac{883}{1155}}$$return { ["body"] = 243, ["id"] = "1022_0640_q1WI", ["obtiznost"] = 1.89, ["reseni"] = { ["float"] = 23.764502164502, ["objekt"] = { ["hodnota"] = { ["citatel"] = 27448, ["jmenovatel"] = 1155 }, ["render"] = "\\frac{192136}{8085}", ["typ"] = "cislo" }, ["tex"] = "23\\frac{883}{1155}", ["x"] = 23, ["y"] = 883, ["z"] = 1155 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.89", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 5 }, ["render"] = "4\\frac{2}{10}", ["typ"] = "cislo" }, ["render"] = "10 + 4\\frac{2}{10}", ["typ"] = "plus" }, ["render"] = "(10 + 4\\frac{2}{10})", ["typ"] = "zavorka" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 46, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{2}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{2}{8}", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{2}{11}}{1\\frac{2}{8}}", ["typ"] = "lomeno" }, ["render"] = "(10 + 4\\frac{2}{10}) \\cdot \\frac{4\\frac{2}{11}}{1\\frac{2}{8}}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 21, ["jmenovatel"] = 10 }, ["render"] = "2\\frac{1}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{(10 + 4\\frac{2}{10}) \\cdot \\frac{4\\frac{2}{11}}{1\\frac{2}{8}}}{2\\frac{1}{10}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 7 }, ["render"] = "1\\frac{1}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{(10 + 4\\frac{2}{10}) \\cdot \\frac{4\\frac{2}{11}}{1\\frac{2}{8}}}{2\\frac{1}{10}} + 1\\frac{1}{7}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.9, bodu=143, $$14 + 2\frac{4}{13} - \frac{3}{1\frac{5}{10} \cdot -15} - (-17)=\textcolor{white}{33\frac{86}{195}}$$return { ["body"] = 143, ["id"] = "1022_0640_bDFU", ["obtiznost"] = 1.3, ["reseni"] = { ["float"] = 33.441025641026, ["objekt"] = { ["hodnota"] = { ["citatel"] = 6521, ["jmenovatel"] = 195 }, ["render"] = "\\frac{6521}{195}", ["typ"] = "cislo" }, ["tex"] = "33\\frac{86}{195}", ["x"] = 33, ["y"] = 86, ["z"] = 195 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.9", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 1 }, ["render"] = "3", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} \\cdot -15", ["typ"] = "krat" }, ["render"] = "\\frac{3}{1\\frac{5}{10} \\cdot -15}", ["typ"] = "lomeno" }, ["render"] = "2\\frac{4}{13} - \\frac{3}{1\\frac{5}{10} \\cdot -15}", ["typ"] = "minus" }, ["render"] = "14 + 2\\frac{4}{13} - \\frac{3}{1\\frac{5}{10} \\cdot -15}", ["typ"] = "plus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -17, ["jmenovatel"] = 1 }, ["render"] = "-17", ["typ"] = "cislo" }, ["render"] = "14 + 2\\frac{4}{13} - \\frac{3}{1\\frac{5}{10} \\cdot -15} - (-17)", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.91, bodu=144, $$3\frac{4}{5} \cdot -22 \cdot \frac{4\frac{4}{9}}{13 + (-14 - (8 + 10))}=\textcolor{white}{19\frac{5}{9}}$$return { ["body"] = 144, ["id"] = "1022_0640_JpOu", ["obtiznost"] = 1.31, ["reseni"] = { ["float"] = 19.555555555556, ["objekt"] = { ["hodnota"] = { ["citatel"] = 176, ["jmenovatel"] = 9 }, ["render"] = "\\frac{16720}{855}", ["typ"] = "cislo" }, ["tex"] = "19\\frac{5}{9}", ["x"] = 19, ["y"] = 5, ["z"] = 9 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.91", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 5 }, ["render"] = "3\\frac{4}{5}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -22, ["jmenovatel"] = 1 }, ["render"] = "-22", ["typ"] = "cislo" }, ["render"] = "3\\frac{4}{5} \\cdot -22", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 1 }, ["render"] = "10", ["typ"] = "cislo" }, ["render"] = "8 + 10", ["typ"] = "plus" }, ["render"] = "(8 + 10)", ["typ"] = "zavorka" }, ["render"] = "-14 - (8 + 10)", ["typ"] = "minus" }, ["render"] = "13 + (-14 - (8 + 10))", ["typ"] = "plus" }, ["render"] = "\\frac{4\\frac{4}{9}}{13 + (-14 - (8 + 10))}", ["typ"] = "lomeno" }, ["render"] = "3\\frac{4}{5} \\cdot -22 \\cdot \\frac{4\\frac{4}{9}}{13 + (-14 - (8 + 10))}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.92, bodu=146, $$\frac{2\frac{2}{6}}{\frac{19}{15} - (-3)} + \frac{13}{2\frac{1}{6}}=\textcolor{white}{6\frac{35}{64}}$$return { ["body"] = 146, ["id"] = "1022_0640_aaxv", ["obtiznost"] = 1.32, ["reseni"] = { ["float"] = 6.546875, ["objekt"] = { ["hodnota"] = { ["citatel"] = 419, ["jmenovatel"] = 64 }, ["render"] = "\\frac{419}{64}", ["typ"] = "cislo" }, ["tex"] = "6\\frac{35}{64}", ["x"] = 6, ["y"] = 35, ["z"] = 64 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.92", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 1 }, ["render"] = "19", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 15, ["jmenovatel"] = 1 }, ["render"] = "15", ["typ"] = "cislo" }, ["render"] = "\\frac{19}{15}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -3, ["jmenovatel"] = 1 }, ["render"] = "-3", ["typ"] = "cislo" }, ["render"] = "\\frac{19}{15} - (-3)", ["typ"] = "minus" }, ["render"] = "\\frac{2\\frac{2}{6}}{\\frac{19}{15} - (-3)}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 6 }, ["render"] = "2\\frac{1}{6}", ["typ"] = "cislo" }, ["render"] = "\\frac{13}{2\\frac{1}{6}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{2\\frac{2}{6}}{\\frac{19}{15} - (-3)} + \\frac{13}{2\\frac{1}{6}}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.93, bodu=180, $$\frac{\frac{1\frac{1}{4}}{\frac{4\frac{1}{6}}{13}}}{\frac{14}{4\frac{4}{9}}}=\textcolor{white}{1\frac{5}{21}}$$return { ["body"] = 180, ["id"] = "1022_0640_nSuC", ["obtiznost"] = 1.53, ["reseni"] = { ["float"] = 1.2380952380952, ["objekt"] = { ["hodnota"] = { ["citatel"] = 26, ["jmenovatel"] = 21 }, ["render"] = "\\frac{780}{630}", ["typ"] = "cislo" }, ["tex"] = "1\\frac{5}{21}", ["x"] = 1, ["y"] = 5, ["z"] = 21 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.93", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 5, ["jmenovatel"] = 4 }, ["render"] = "1\\frac{1}{4}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 25, ["jmenovatel"] = 6 }, ["render"] = "4\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 1 }, ["render"] = "13", ["typ"] = "cislo" }, ["render"] = "\\frac{4\\frac{1}{6}}{13}", ["typ"] = "lomeno" }, ["render"] = "\\frac{1\\frac{1}{4}}{\\frac{4\\frac{1}{6}}{13}}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 40, ["jmenovatel"] = 9 }, ["render"] = "4\\frac{4}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{14}{4\\frac{4}{9}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{1\\frac{1}{4}}{\\frac{4\\frac{1}{6}}{13}}}{\\frac{14}{4\\frac{4}{9}}}", ["typ"] = "lomeno" } }

seed: aPRm3Skv92znKpRomr0l_0.94, bodu=253, $$1\frac{1}{3} + \frac{4\frac{4}{8} \cdot -20}{3\frac{1}{6} - 1\frac{1}{11} \cdot 2\frac{3}{9}}=\textcolor{white}{-143\frac{67}{123}}$$return { ["body"] = 253, ["id"] = "1022_0640_8nO1", ["obtiznost"] = 1.94, ["reseni"] = { ["float"] = -143.54471544715, ["objekt"] = { ["hodnota"] = { ["citatel"] = -17656, ["jmenovatel"] = 123 }, ["render"] = "\\frac{-17656}{123}", ["typ"] = "cislo" }, ["tex"] = "-143\\frac{67}{123}", ["x"] = -143, ["y"] = 67, ["z"] = 123 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.94", ["zadani"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{1}{3}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 2 }, ["render"] = "4\\frac{4}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -20, ["jmenovatel"] = 1 }, ["render"] = "-20", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{8} \\cdot -20", ["typ"] = "krat" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 6 }, ["render"] = "3\\frac{1}{6}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 12, ["jmenovatel"] = 11 }, ["render"] = "1\\frac{1}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "1\\frac{1}{11} \\cdot 2\\frac{3}{9}", ["typ"] = "krat" }, ["render"] = "3\\frac{1}{6} - 1\\frac{1}{11} \\cdot 2\\frac{3}{9}", ["typ"] = "minus" }, ["render"] = "\\frac{4\\frac{4}{8} \\cdot -20}{3\\frac{1}{6} - 1\\frac{1}{11} \\cdot 2\\frac{3}{9}}", ["typ"] = "lomeno" }, ["render"] = "1\\frac{1}{3} + \\frac{4\\frac{4}{8} \\cdot -20}{3\\frac{1}{6} - 1\\frac{1}{11} \\cdot 2\\frac{3}{9}}", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.95, bodu=183, $$\frac{\frac{1\frac{5}{10} - 17}{-18}}{\frac{20}{3\frac{4}{12}}} \cdot 1\frac{5}{10}=\textcolor{white}{\frac{31}{144}}$$return { ["body"] = 183, ["id"] = "1022_0640_dHje", ["obtiznost"] = 1.55, ["reseni"] = { ["float"] = 0.21527777777778, ["objekt"] = { ["hodnota"] = { ["citatel"] = 31, ["jmenovatel"] = 144 }, ["render"] = "\\frac{93}{432}", ["typ"] = "cislo" }, ["tex"] = "\\frac{31}{144}", ["y"] = 31, ["z"] = 144 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.95", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 1 }, ["render"] = "17", ["typ"] = "cislo" }, ["render"] = "1\\frac{5}{10} - 17", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "\\frac{1\\frac{5}{10} - 17}{-18}", ["typ"] = "lomeno" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 20, ["jmenovatel"] = 1 }, ["render"] = "20", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{4}{12}", ["typ"] = "cislo" }, ["render"] = "\\frac{20}{3\\frac{4}{12}}", ["typ"] = "lomeno" }, ["render"] = "\\frac{\\frac{1\\frac{5}{10} - 17}{-18}}{\\frac{20}{3\\frac{4}{12}}}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 3, ["jmenovatel"] = 2 }, ["render"] = "1\\frac{5}{10}", ["typ"] = "cislo" }, ["render"] = "\\frac{\\frac{1\\frac{5}{10} - 17}{-18}}{\\frac{20}{3\\frac{4}{12}}} \\cdot 1\\frac{5}{10}", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.96, bodu=185, $$4\frac{4}{15} \cdot -14 - (1\frac{3}{10} + 3\frac{2}{8} - 8) + 6 + 9=\textcolor{white}{-41\frac{17}{60}}$$return { ["body"] = 185, ["id"] = "1022_0640_Tx9v", ["obtiznost"] = 1.56, ["reseni"] = { ["float"] = -41.283333333333, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2477, ["jmenovatel"] = 60 }, ["render"] = "\\frac{-2477}{60}", ["typ"] = "cislo" }, ["tex"] = "-41\\frac{17}{60}", ["x"] = -41, ["y"] = 17, ["z"] = 60 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.96", ["zadani"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 64, ["jmenovatel"] = 15 }, ["render"] = "4\\frac{4}{15}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{15} \\cdot -14", ["typ"] = "krat" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 10 }, ["render"] = "1\\frac{3}{10}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 13, ["jmenovatel"] = 4 }, ["render"] = "3\\frac{2}{8}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 8, ["jmenovatel"] = 1 }, ["render"] = "8", ["typ"] = "cislo" }, ["render"] = "3\\frac{2}{8} - 8", ["typ"] = "minus" }, ["render"] = "1\\frac{3}{10} + 3\\frac{2}{8} - 8", ["typ"] = "plus" }, ["render"] = "(1\\frac{3}{10} + 3\\frac{2}{8} - 8)", ["typ"] = "zavorka" }, ["render"] = "4\\frac{4}{15} \\cdot -14 - (1\\frac{3}{10} + 3\\frac{2}{8} - 8)", ["typ"] = "minus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 6, ["jmenovatel"] = 1 }, ["render"] = "6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 9, ["jmenovatel"] = 1 }, ["render"] = "9", ["typ"] = "cislo" }, ["render"] = "6 + 9", ["typ"] = "plus" }, ["render"] = "4\\frac{4}{15} \\cdot -14 - (1\\frac{3}{10} + 3\\frac{2}{8} - 8) + 6 + 9", ["typ"] = "plus" } }

seed: aPRm3Skv92znKpRomr0l_0.97, bodu=154, $$2\frac{4}{13} \cdot (4\frac{3}{12} + 14 + (-6 - (-7))) \cdot 14 - 16=\textcolor{white}{605\frac{12}{13}}$$return { ["body"] = 154, ["id"] = "1022_0640_F6dD", ["obtiznost"] = 1.37, ["reseni"] = { ["float"] = 605.92307692308, ["objekt"] = { ["hodnota"] = { ["citatel"] = 7877, ["jmenovatel"] = 13 }, ["render"] = "\\frac{7877}{13}", ["typ"] = "cislo" }, ["tex"] = "605\\frac{12}{13}", ["x"] = 605, ["y"] = 12, ["z"] = 13 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.97", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 30, ["jmenovatel"] = 13 }, ["render"] = "2\\frac{4}{13}", ["typ"] = "cislo" }, ["c2"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 17, ["jmenovatel"] = 4 }, ["render"] = "4\\frac{3}{12}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "4\\frac{3}{12} + 14", ["typ"] = "plus" }, ["c2"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = -6, ["jmenovatel"] = 1 }, ["render"] = "-6", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -7, ["jmenovatel"] = 1 }, ["render"] = "-7", ["typ"] = "cislo" }, ["render"] = "-6 - (-7)", ["typ"] = "minus" }, ["render"] = "4\\frac{3}{12} + 14 + (-6 - (-7))", ["typ"] = "plus" }, ["render"] = "(4\\frac{3}{12} + 14 + (-6 - (-7)))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 14, ["jmenovatel"] = 1 }, ["render"] = "14", ["typ"] = "cislo" }, ["render"] = "(4\\frac{3}{12} + 14 + (-6 - (-7))) \\cdot 14", ["typ"] = "krat" }, ["render"] = "2\\frac{4}{13} \\cdot (4\\frac{3}{12} + 14 + (-6 - (-7))) \\cdot 14", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 1 }, ["render"] = "16", ["typ"] = "cislo" }, ["render"] = "2\\frac{4}{13} \\cdot (4\\frac{3}{12} + 14 + (-6 - (-7))) \\cdot 14 - 16", ["typ"] = "minus" } }

seed: aPRm3Skv92znKpRomr0l_0.98, bodu=223, $$4\frac{5}{11} \cdot (\frac{2\frac{2}{6}}{-13} - 2\frac{2}{7} - 3\frac{3}{9}) \cdot 7=\textcolor{white}{-180\frac{347}{429}}$$return { ["body"] = 223, ["id"] = "1022_0640_KjYp", ["obtiznost"] = 1.78, ["reseni"] = { ["float"] = -180.80885780886, ["objekt"] = { ["hodnota"] = { ["citatel"] = -77567, ["jmenovatel"] = 429 }, ["render"] = "\\frac{-77567}{429}", ["typ"] = "cislo" }, ["tex"] = "-180\\frac{347}{429}", ["x"] = -180, ["y"] = 347, ["z"] = 429 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.98", ["zadani"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 49, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{5}{11}", ["typ"] = "cislo" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 3 }, ["render"] = "2\\frac{2}{6}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -13, ["jmenovatel"] = 1 }, ["render"] = "-13", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{6}}{-13}", ["typ"] = "lomeno" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 16, ["jmenovatel"] = 7 }, ["render"] = "2\\frac{2}{7}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{6}}{-13} - 2\\frac{2}{7}", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 10, ["jmenovatel"] = 3 }, ["render"] = "3\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{2\\frac{2}{6}}{-13} - 2\\frac{2}{7} - 3\\frac{3}{9}", ["typ"] = "minus" }, ["render"] = "(\\frac{2\\frac{2}{6}}{-13} - 2\\frac{2}{7} - 3\\frac{3}{9})", ["typ"] = "zavorka" }, ["render"] = "4\\frac{5}{11} \\cdot (\\frac{2\\frac{2}{6}}{-13} - 2\\frac{2}{7} - 3\\frac{3}{9})", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 7, ["jmenovatel"] = 1 }, ["render"] = "7", ["typ"] = "cislo" }, ["render"] = "4\\frac{5}{11} \\cdot (\\frac{2\\frac{2}{6}}{-13} - 2\\frac{2}{7} - 3\\frac{3}{9}) \\cdot 7", ["typ"] = "krat" } }

seed: aPRm3Skv92znKpRomr0l_0.99, bodu=190, $$(\frac{18}{2\frac{1}{9}} - (4\frac{4}{11} + (-15)) + (-18)) \cdot 1\frac{3}{9} + (-14)=\textcolor{white}{-12\frac{94}{209}}$$return { ["body"] = 190, ["id"] = "1022_0640_Fsuj", ["obtiznost"] = 1.59, ["reseni"] = { ["float"] = -12.44976076555, ["objekt"] = { ["hodnota"] = { ["citatel"] = -2602, ["jmenovatel"] = 209 }, ["render"] = "\\frac{-2602}{209}", ["typ"] = "cislo" }, ["tex"] = "-12\\frac{94}{209}", ["x"] = -12, ["y"] = 94, ["z"] = 209 }, ["seed"] = "aPRm3Skv92znKpRomr0l_0.99", ["zadani"] = { ["c1"] = { ["c1"] = { ["obsah"] = { ["c1"] = { ["c1"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 18, ["jmenovatel"] = 1 }, ["render"] = "18", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 19, ["jmenovatel"] = 9 }, ["render"] = "2\\frac{1}{9}", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{2\\frac{1}{9}}", ["typ"] = "lomeno" }, ["c2"] = { ["obsah"] = { ["c1"] = { ["hodnota"] = { ["citatel"] = 48, ["jmenovatel"] = 11 }, ["render"] = "4\\frac{4}{11}", ["typ"] = "cislo" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -15, ["jmenovatel"] = 1 }, ["render"] = "-15", ["typ"] = "cislo" }, ["render"] = "4\\frac{4}{11} + (-15)", ["typ"] = "plus" }, ["render"] = "(4\\frac{4}{11} + (-15))", ["typ"] = "zavorka" }, ["render"] = "\\frac{18}{2\\frac{1}{9}} - (4\\frac{4}{11} + (-15))", ["typ"] = "minus" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -18, ["jmenovatel"] = 1 }, ["render"] = "-18", ["typ"] = "cislo" }, ["render"] = "\\frac{18}{2\\frac{1}{9}} - (4\\frac{4}{11} + (-15)) + (-18)", ["typ"] = "plus" }, ["render"] = "(\\frac{18}{2\\frac{1}{9}} - (4\\frac{4}{11} + (-15)) + (-18))", ["typ"] = "zavorka" }, ["c2"] = { ["hodnota"] = { ["citatel"] = 4, ["jmenovatel"] = 3 }, ["render"] = "1\\frac{3}{9}", ["typ"] = "cislo" }, ["render"] = "(\\frac{18}{2\\frac{1}{9}} - (4\\frac{4}{11} + (-15)) + (-18)) \\cdot 1\\frac{3}{9}", ["typ"] = "krat" }, ["c2"] = { ["hodnota"] = { ["citatel"] = -14, ["jmenovatel"] = 1 }, ["render"] = "-14", ["typ"] = "cislo" }, ["render"] = "(\\frac{18}{2\\frac{1}{9}} - (4\\frac{4}{11} + (-15)) + (-18)) \\cdot 1\\frac{3}{9} + (-14)", ["typ"] = "plus" } }

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