- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: tTUkDdYl2GdPYAE3uSYY_0, bodu=10, $$\frac{6 + 7}{\frac{-8}{9}}=\textcolor{white}{-14{,}625}$$return {
["body"] = 10,
["id"] = "u9Tc5S_0504_1614",
["obtiznost"] = 0,
["reseni"] = {
["float"] = -14.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -117,
["jmenovatel"] = 8 },
["render"] = "\\frac{117}{-8}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{5}{8}",
["tex_float"] = "-14{,}625",
["x"] = -14,
["y"] = 5,
["z"] = 8 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{6 + 7}{\\frac{-8}{9}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.01, bodu=10, $$\frac{7 - 8}{6 + 8 + 5}=\textcolor{white}{-\frac{1}{19}}$$return {
["body"] = 10,
["id"] = "W7ELLT_0504_1614",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = -0.052631578947368,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 19 },
["render"] = "\\frac{-1}{19}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{19}",
["y"] = -1,
["z"] = 19 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.01",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["render"] = "6 + 8 + 5",
["typ"] = "plus" },
["render"] = "\\frac{7 - 8}{6 + 8 + 5}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.02, bodu=10, $$8 + \frac{9}{4} + 10=\textcolor{white}{20{,}25}$$return {
["body"] = 10,
["id"] = "tA0Cg0_0504_1614",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 20.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 4 },
["render"] = "\\frac{81}{4}",
["typ"] = "cislo" },
["tex"] = "20\\frac{1}{4}",
["tex_float"] = "20{,}25",
["x"] = 20,
["y"] = 1,
["z"] = 4 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{9}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + \\frac{9}{4} + 10",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.03, bodu=5, $$(7 - 5 - 9 + 5)^2=\textcolor{white}{4}$$return {
["body"] = 5,
["id"] = "M14gbH_0504_1614",
["obtiznost"] = 0.032,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{4}{1}",
["typ"] = "cislo" },
["tex"] = "4",
["x"] = 4 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.03",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 5 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5 - 9 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 - 5 - 9 + 5)^2",
["typ"] = "mocnina" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.04, bodu=10, $$\frac{-6}{7 \cdot -9}=\textcolor{white}{\frac{2}{21}}$$return {
["body"] = 10,
["id"] = "RY1mG0_0504_1614",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 0.095238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 21 },
["render"] = "\\frac{-6}{-63}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{21}",
["y"] = 2,
["z"] = 21 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{-6}{7 \\cdot -9}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.05, bodu=5, $$3 \cdot 6 \cdot 5=\textcolor{white}{90}$$return {
["body"] = 5,
["id"] = "oMTlOM_0504_1614",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 1 },
["render"] = "\\frac{90}{1}",
["typ"] = "cislo" },
["tex"] = "90",
["tex_float"] = "90",
["x"] = 90 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5",
["typ"] = "krat" },
["render"] = "3 \\cdot 6 \\cdot 5",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.06, bodu=11, $$\frac{\frac{4}{8}}{5}=\textcolor{white}{0{,}1}$$return {
["body"] = 11,
["id"] = "CwSS6a_0504_1614",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 0.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 10 },
["render"] = "\\frac{1}{10}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{10}",
["tex_float"] = "0{,}1",
["y"] = 1,
["z"] = 10 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{8}}{5}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.07, bodu=22, $$\frac{3 + 4 + 7}{2\frac{4}{8}}=\textcolor{white}{5{,}6}$$return {
["body"] = 22,
["id"] = "uiNeYK_0504_1614",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = 5.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 5 },
["render"] = "\\frac{28}{5}",
["typ"] = "cislo" },
["tex"] = "5\\frac{3}{5}",
["tex_float"] = "5{,}6",
["x"] = 5,
["y"] = 3,
["z"] = 5 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 + 7",
["typ"] = "plus" },
["render"] = "3 + 4 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3 + 4 + 7}{2\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.08, bodu=12, $$\frac{-4 + \frac{8}{5}}{6}=\textcolor{white}{-0{,}4}$$return {
["body"] = 12,
["id"] = "dRgInj_0504_1614",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = -0.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 5 },
["render"] = "\\frac{-12}{30}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{5}",
["tex_float"] = "-0{,}4",
["y"] = -2,
["z"] = 5 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{8}{5}",
["typ"] = "lomeno" },
["render"] = "-4 + \\frac{8}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-4 + \\frac{8}{5}}{6}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.09, bodu=12, $$\frac{3 - 5}{4} - (-5)=\textcolor{white}{4{,}5}$$return {
["body"] = 12,
["id"] = "VMeGe7_0504_1614",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 4.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "\\frac{9}{2}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{2}",
["tex_float"] = "4{,}5",
["x"] = 4,
["y"] = 1,
["z"] = 2 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{3 - 5}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{3 - 5}{4} - (-5)",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.1, bodu=6, $$-8 + 12 - 10 \cdot -7=\textcolor{white}{74}$$return {
["body"] = 6,
["id"] = "8fTNJF_0504_1614",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 74,
["jmenovatel"] = 1 },
["render"] = "\\frac{74}{1}",
["typ"] = "cislo" },
["tex"] = "74",
["x"] = 74 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-8 + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 \\cdot -7",
["typ"] = "krat" },
["render"] = "-8 + 12 - 10 \\cdot -7",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.11, bodu=6, $$(10 - 8)^3 \cdot 6 - 7=\textcolor{white}{41}$$return {
["body"] = 6,
["id"] = "up8JSU_0504_1614",
["obtiznost"] = 0.1136,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 1 },
["render"] = "\\frac{41}{1}",
["typ"] = "cislo" },
["tex"] = "41",
["x"] = 41 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 - 8",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 8)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(10 - 8)^3 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(10 - 8)^3 \\cdot 6 - 7",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.12, bodu=6, $$10 \cdot 5 + 10 + 6=\textcolor{white}{66}$$return {
["body"] = 6,
["id"] = "XmVkwO_0504_1614",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 66,
["jmenovatel"] = 1 },
["render"] = "\\frac{66}{1}",
["typ"] = "cislo" },
["tex"] = "66",
["tex_float"] = "66",
["x"] = 66 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["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 \\cdot 5 + 10 + 6",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.13, bodu=27, $$8 + 10 - 2\frac{2}{4} \cdot 5=\textcolor{white}{5{,}5}$$return {
["body"] = 27,
["id"] = "K5DEt2_0504_1614",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 5.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 2 },
["render"] = "\\frac{11}{2}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{2}",
["tex_float"] = "5{,}5",
["x"] = 5,
["y"] = 1,
["z"] = 2 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} \\cdot 5",
["typ"] = "krat" },
["render"] = "8 + 10 - 2\\frac{2}{4} \\cdot 5",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.14, bodu=7, $$11 \cdot 8 - (-10) - 6=\textcolor{white}{92}$$return {
["body"] = 7,
["id"] = "NoLL4y_0504_1614",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 92,
["jmenovatel"] = 1 },
["render"] = "\\frac{92}{1}",
["typ"] = "cislo" },
["tex"] = "92",
["tex_float"] = "92",
["x"] = 92 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8 - (-10) - 6",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.15, bodu=10, $$7 \cdot (-10 + 4)^3 + 7=\textcolor{white}{-1505}$$return {
["body"] = 10,
["id"] = "ZzQqO0_0504_1614",
["obtiznost"] = 0.2368,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1505,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1505}{1}",
["typ"] = "cislo" },
["tex"] = "-1505",
["x"] = -1505 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-10 + 4",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-10 + 4)^3",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (-10 + 4)^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot (-10 + 4)^3 + 7",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.16, bodu=15, $$7 + 8 - \frac{1\frac{1}{1}}{-8}=\textcolor{white}{15{,}25}$$return {
["body"] = 15,
["id"] = "r1EwGs_0504_1614",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 15.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 4 },
["render"] = "\\frac{61}{4}",
["typ"] = "cislo" },
["tex"] = "15\\frac{1}{4}",
["tex_float"] = "15{,}25",
["x"] = 15,
["y"] = 1,
["z"] = 4 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{1}{1}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{1}}{-8}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{1\\frac{1}{1}}{-8}",
["typ"] = "minus" },
["render"] = "7 + 8 - \\frac{1\\frac{1}{1}}{-8}",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.17, bodu=21, $$(\frac{5}{\frac{-5}{6}})^3=\textcolor{white}{-216}$$return {
["body"] = 21,
["id"] = "devF5M_0504_1614",
["obtiznost"] = 0.2568,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 1 },
["render"] = "\\frac{-216}{1}",
["typ"] = "cislo" },
["tex"] = "-216",
["x"] = -216 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.17",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{\\frac{-5}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{5}{\\frac{-5}{6}})^3",
["typ"] = "mocnina" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.18, bodu=8, $$(7 - (6 + 7)) \cdot 11=\textcolor{white}{-66}$$return {
["body"] = 8,
["id"] = "Bg62cl_0504_1614",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -66,
["jmenovatel"] = 1 },
["render"] = "\\frac{-66}{1}",
["typ"] = "cislo" },
["tex"] = "-66",
["x"] = -66 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.18",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["render"] = "(6 + 7)",
["typ"] = "zavorka" },
["render"] = "7 - (6 + 7)",
["typ"] = "minus" },
["render"] = "(7 - (6 + 7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(7 - (6 + 7)) \\cdot 11",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.19, bodu=17, $$\frac{12 - (-11)}{-9} + (-9)=\textcolor{white}{-11\frac{5}{9}}$$return {
["body"] = 17,
["id"] = "fGMbC9_0504_1614",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -11.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -104,
["jmenovatel"] = 9 },
["render"] = "\\frac{-104}{9}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{5}{9}",
["x"] = -11,
["y"] = 5,
["z"] = 9 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{12 - (-11)}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{12 - (-11)}{-9} + (-9)",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.2, bodu=9, $$(9 + 8) \cdot 6 + (-9 + 9)^2=\textcolor{white}{102}$$return {
["body"] = 9,
["id"] = "dttINM_0504_1614",
["obtiznost"] = 0.2004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 102,
["jmenovatel"] = 1 },
["render"] = "\\frac{102}{1}",
["typ"] = "cislo" },
["tex"] = "102",
["tex_float"] = "102",
["x"] = 102 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 + 8",
["typ"] = "plus" },
["render"] = "(9 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(9 + 8) \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-9 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + 9)^2",
["typ"] = "mocnina" },
["render"] = "(9 + 8) \\cdot 6 + (-9 + 9)^2",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.21, bodu=18, $$\frac{12}{(-9 - 10) \cdot -3}=\textcolor{white}{\frac{4}{19}}$$return {
["body"] = 18,
["id"] = "dZvQyI_0504_1614",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = 0.21052631578947,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 19 },
["render"] = "\\frac{12}{57}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{19}",
["y"] = 4,
["z"] = 19 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 - 10",
["typ"] = "minus" },
["render"] = "(-9 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(-9 - 10) \\cdot -3",
["typ"] = "krat" },
["render"] = "\\frac{12}{(-9 - 10) \\cdot -3}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.22, bodu=19, $$10 + \frac{10}{9 + 9} - 5=\textcolor{white}{5\frac{5}{9}}$$return {
["body"] = 19,
["id"] = "iDFdni_0504_1614",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 5.5555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 50,
["jmenovatel"] = 9 },
["render"] = "\\frac{50}{9}",
["typ"] = "cislo" },
["tex"] = "5\\frac{5}{9}",
["x"] = 5,
["y"] = 5,
["z"] = 9 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["render"] = "\\frac{10}{9 + 9}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{10}{9 + 9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 + \\frac{10}{9 + 9} - 5",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.23, bodu=19, $$\frac{6}{7} \cdot \frac{-12}{11}=\textcolor{white}{-\frac{72}{77}}$$return {
["body"] = 19,
["id"] = "Z5UcOu_0504_1614",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = -0.93506493506494,
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 77 },
["render"] = "\\frac{-72}{77}",
["typ"] = "cislo" },
["tex"] = "-\\frac{72}{77}",
["y"] = -72,
["z"] = 77 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{7} \\cdot \\frac{-12}{11}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.24, bodu=22, $$(\frac{12}{10})^2 + (-8 \cdot 6)=\textcolor{white}{-46{,}56}$$return {
["body"] = 22,
["id"] = "yIf8aD_0504_1614",
["obtiznost"] = 0.2644,
["reseni"] = {
["float"] = -46.56,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1164,
["jmenovatel"] = 25 },
["render"] = "\\frac{-1164}{25}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{14}{25}",
["tex_float"] = "-46{,}56",
["x"] = -46,
["y"] = 14,
["z"] = 25 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.24",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 6",
["typ"] = "krat" },
["render"] = "(\\frac{12}{10})^2 + (-8 \\cdot 6)",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.25, bodu=37, $$(11 - 4\frac{4}{8}) \cdot -3 \cdot 8=\textcolor{white}{-156}$$return {
["body"] = 37,
["id"] = "Skh2ik_0504_1614",
["obtiznost"] = 0.45,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -156,
["jmenovatel"] = 1 },
["render"] = "\\frac{-312}{2}",
["typ"] = "cislo" },
["tex"] = "-156",
["tex_float"] = "-156",
["x"] = -156 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(11 - 4\\frac{4}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 8",
["typ"] = "krat" },
["render"] = "(11 - 4\\frac{4}{8}) \\cdot -3 \\cdot 8",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.26, bodu=58, $$10 + 4\frac{1}{5} - (4 - 9 \cdot 3\frac{4}{10})=\textcolor{white}{40{,}8}$$return {
["body"] = 58,
["id"] = "HsXdBG_0504_1614",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 40.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 204,
["jmenovatel"] = 5 },
["render"] = "\\frac{204}{5}",
["typ"] = "cislo" },
["tex"] = "40\\frac{4}{5}",
["tex_float"] = "40{,}8",
["x"] = 40,
["y"] = 4,
["z"] = 5 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 + 4\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "4 - 9 \\cdot 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(4 - 9 \\cdot 3\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "10 + 4\\frac{1}{5} - (4 - 9 \\cdot 3\\frac{4}{10})",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.27, bodu=11, $$9 \cdot -11 \cdot -9 \cdot 13=\textcolor{white}{11583}$$return {
["body"] = 11,
["id"] = "gKUpPA_0504_1614",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 11583,
["jmenovatel"] = 1 },
["render"] = "\\frac{11583}{1}",
["typ"] = "cislo" },
["tex"] = "11583",
["tex_float"] = "11583",
["x"] = 11583 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 \\cdot -11 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 \\cdot -11 \\cdot -9 \\cdot 13",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.28, bodu=23, $$(-10 + 10 - (\frac{8 - 8}{8})^2)^2=\textcolor{white}{0}$$return {
["body"] = 23,
["id"] = "OhfeV7_0504_1614",
["obtiznost"] = 0.2808,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.28",
["zadani"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8 - 8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8 - 8}{8})^2",
["typ"] = "mocnina" },
["render"] = "-10 + 10 - (\\frac{8 - 8}{8})^2",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 + 10 - (\\frac{8 - 8}{8})^2)^2",
["typ"] = "mocnina" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.29, bodu=61, $$\frac{\frac{9}{2\frac{4}{7}}}{-13 - 2\frac{2}{7}}=\textcolor{white}{-\frac{49}{214}}$$return {
["body"] = 61,
["id"] = "jCz7nP_0504_1614",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -0.22897196261682,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 214 },
["render"] = "\\frac{49}{-214}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{214}",
["y"] = -49,
["z"] = 214 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-13 - 2\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{9}{2\\frac{4}{7}}}{-13 - 2\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.3, bodu=12, $$7 + 9 - (6 \cdot 11 + 5)=\textcolor{white}{-55}$$return {
["body"] = 12,
["id"] = "4cYf5o_0504_1614",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 1 },
["render"] = "\\frac{-55}{1}",
["typ"] = "cislo" },
["tex"] = "-55",
["tex_float"] = "-55",
["x"] = -55 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 9",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11 + 5",
["typ"] = "plus" },
["render"] = "(6 \\cdot 11 + 5)",
["typ"] = "zavorka" },
["render"] = "7 + 9 - (6 \\cdot 11 + 5)",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.31, bodu=58, $$\frac{(\frac{8}{7})^3}{(9 + (-7))^4}=\textcolor{white}{\frac{32}{343}}$$return {
["body"] = 58,
["id"] = "8zg2Cu_0504_1614",
["obtiznost"] = 0.6588,
["reseni"] = {
["float"] = 0.093294460641399,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 343 },
["render"] = "\\frac{512}{5488}",
["typ"] = "cislo" },
["tex"] = "\\frac{32}{343}",
["y"] = 32,
["z"] = 343 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.31",
["zadani"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{7})^3",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(9 + (-7))^4",
["typ"] = "mocnina" },
["render"] = "\\frac{(\\frac{8}{7})^3}{(9 + (-7))^4}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.32, bodu=26, $$5 \cdot 8 \cdot \frac{-10}{-14}=\textcolor{white}{28\frac{4}{7}}$$return {
["body"] = 26,
["id"] = "ebbgzv_0504_1614",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 28.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 200,
["jmenovatel"] = 7 },
["render"] = "\\frac{200}{7}",
["typ"] = "cislo" },
["tex"] = "28\\frac{4}{7}",
["x"] = 28,
["y"] = 4,
["z"] = 7 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-14}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot 8 \\cdot \\frac{-10}{-14}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.33, bodu=44, $$4\frac{1}{4} - (\frac{-11}{12} - 9)=\textcolor{white}{14\frac{1}{6}}$$return {
["body"] = 44,
["id"] = "5H1PvG_0504_1614",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 14.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 85,
["jmenovatel"] = 6 },
["render"] = "\\frac{680}{48}",
["typ"] = "cislo" },
["tex"] = "14\\frac{1}{6}",
["x"] = 14,
["y"] = 1,
["z"] = 6 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{12} - 9",
["typ"] = "minus" },
["render"] = "(\\frac{-11}{12} - 9)",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{4} - (\\frac{-11}{12} - 9)",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.34, bodu=45, $$\frac{\frac{-9}{2\frac{3}{5}}}{\frac{-9}{12}}=\textcolor{white}{4\frac{8}{13}}$$return {
["body"] = 45,
["id"] = "3oiZCC_0504_1614",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 4.6153846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 13 },
["render"] = "\\frac{-180}{-39}",
["typ"] = "cislo" },
["tex"] = "4\\frac{8}{13}",
["x"] = 4,
["y"] = 8,
["z"] = 13 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-9}{2\\frac{3}{5}}}{\\frac{-9}{12}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.35, bodu=14, $$-7 \cdot (7 - 4) - (-10)=\textcolor{white}{-11}$$return {
["body"] = 14,
["id"] = "TSheYM_0504_1614",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "\\frac{-11}{1}",
["typ"] = "cislo" },
["tex"] = "-11",
["tex_float"] = "-11",
["x"] = -11 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["render"] = "(7 - 4)",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (7 - 4)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot (7 - 4) - (-10)",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.36, bodu=69, $$3 \cdot \frac{11}{4\frac{3}{5} + 12 + 3\frac{5}{10}}=\textcolor{white}{1\frac{43}{67}}$$return {
["body"] = 69,
["id"] = "QXhW2g_0504_1614",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 1.6417910447761,
["objekt"] = {
["hodnota"] = {
["citatel"] = 110,
["jmenovatel"] = 67 },
["render"] = "\\frac{330}{201}",
["typ"] = "cislo" },
["tex"] = "1\\frac{43}{67}",
["x"] = 1,
["y"] = 43,
["z"] = 67 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "12 + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "4\\frac{3}{5} + 12 + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{11}{4\\frac{3}{5} + 12 + 3\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "3 \\cdot \\frac{11}{4\\frac{3}{5} + 12 + 3\\frac{5}{10}}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.37, bodu=30, $$\frac{14 + 7}{-13 - (-9) + (-5)}=\textcolor{white}{-2\frac{1}{3}}$$return {
["body"] = 30,
["id"] = "vtxtzz_0504_1614",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -2.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 3 },
["render"] = "\\frac{21}{-9}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1}{3}",
["x"] = -2,
["y"] = 1,
["z"] = 3 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "14 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-13 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-13 - (-9) + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{14 + 7}{-13 - (-9) + (-5)}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.38, bodu=49, $$4 - (-16 - 13 - (9 - 4\frac{2}{6}))=\textcolor{white}{37\frac{2}{3}}$$return {
["body"] = 49,
["id"] = "XLBQ6L_0504_1614",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 37.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 113,
["jmenovatel"] = 3 },
["render"] = "\\frac{113}{3}",
["typ"] = "cislo" },
["tex"] = "37\\frac{2}{3}",
["x"] = 37,
["y"] = 2,
["z"] = 3 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-16 - 13",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(9 - 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "-16 - 13 - (9 - 4\\frac{2}{6})",
["typ"] = "minus" },
["render"] = "(-16 - 13 - (9 - 4\\frac{2}{6}))",
["typ"] = "zavorka" },
["render"] = "4 - (-16 - 13 - (9 - 4\\frac{2}{6}))",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.39, bodu=36, $$\frac{-12}{(-7 - (-12))^3 - (-5) + (-10)}=\textcolor{white}{-0{,}1}$$return {
["body"] = 36,
["id"] = "DMWt1f_0504_1614",
["obtiznost"] = 0.4404,
["reseni"] = {
["float"] = -0.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 10 },
["render"] = "\\frac{-12}{120}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{10}",
["tex_float"] = "-0{,}1",
["y"] = -1,
["z"] = 10 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(-7 - (-12))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(-7 - (-12))^3 - (-5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(-7 - (-12))^3 - (-5) + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{-12}{(-7 - (-12))^3 - (-5) + (-10)}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.4, bodu=42, $$(-11 + \frac{15}{-3})^2 - (12 - (-5))=\textcolor{white}{239}$$return {
["body"] = 42,
["id"] = "qtpZEG_0504_1614",
["obtiznost"] = 0.5028,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 239,
["jmenovatel"] = 1 },
["render"] = "\\frac{239}{1}",
["typ"] = "cislo" },
["tex"] = "239",
["x"] = 239 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.4",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-3}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{15}{-3}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + \\frac{15}{-3})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "12 - (-5)",
["typ"] = "minus" },
["render"] = "(12 - (-5))",
["typ"] = "zavorka" },
["render"] = "(-11 + \\frac{15}{-3})^2 - (12 - (-5))",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.41, bodu=52, $$-14 - (12 - (-10 \cdot 7) + 1\frac{3}{8})=\textcolor{white}{-97{,}375}$$return {
["body"] = 52,
["id"] = "dB8U3b_0504_1614",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -97.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -779,
["jmenovatel"] = 8 },
["render"] = "\\frac{-779}{8}",
["typ"] = "cislo" },
["tex"] = "-97\\frac{3}{8}",
["tex_float"] = "-97{,}375",
["x"] = -97,
["y"] = 3,
["z"] = 8 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.41",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 7",
["typ"] = "krat" },
["render"] = "12 - (-10 \\cdot 7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "12 - (-10 \\cdot 7) + 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(12 - (-10 \\cdot 7) + 1\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "-14 - (12 - (-10 \\cdot 7) + 1\\frac{3}{8})",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.42, bodu=53, $$\frac{\frac{-14}{-9}}{-9 + \frac{1\frac{4}{9}}{-9}}=\textcolor{white}{-\frac{9}{53}}$$return {
["body"] = 53,
["id"] = "A7uQC9_0504_1614",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = -0.16981132075472,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 53 },
["render"] = "\\frac{1134}{-6678}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{53}",
["y"] = -9,
["z"] = 53 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{-9}",
["typ"] = "lomeno" },
["render"] = "-9 + \\frac{1\\frac{4}{9}}{-9}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-14}{-9}}{-9 + \\frac{1\\frac{4}{9}}{-9}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.43, bodu=35, $$(9 - 10)^3 \cdot \frac{\frac{-2}{10}}{-8}=\textcolor{white}{-0{,}025}$$return {
["body"] = 35,
["id"] = "idLWMR_0504_1614",
["obtiznost"] = 0.4308,
["reseni"] = {
["float"] = -0.025,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 40 },
["render"] = "\\frac{-1}{40}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{40}",
["tex_float"] = "-0{,}025",
["y"] = -1,
["z"] = 40 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.43",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 10)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-2}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-2}{10}}{-8}",
["typ"] = "lomeno" },
["render"] = "(9 - 10)^3 \\cdot \\frac{\\frac{-2}{10}}{-8}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.44, bodu=79, $$\frac{6}{3\frac{2}{9} + 10 \cdot -7 + 2\frac{4}{8}}=\textcolor{white}{-\frac{108}{1157}}$$return {
["body"] = 79,
["id"] = "rFFCk9_0504_1614",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -0.093344857389801,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 1157 },
["render"] = "\\frac{108}{-1157}",
["typ"] = "cislo" },
["tex"] = "-\\frac{108}{1157}",
["y"] = -108,
["z"] = 1157 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 \\cdot -7",
["typ"] = "krat" },
["render"] = "3\\frac{2}{9} + 10 \\cdot -7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + 10 \\cdot -7 + 2\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "\\frac{6}{3\\frac{2}{9} + 10 \\cdot -7 + 2\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.45, bodu=37, $$(-7 \cdot 8 - (\frac{6}{-12})^3) \cdot 8=\textcolor{white}{-447}$$return {
["body"] = 37,
["id"] = "i3Ss5u_0504_1614",
["obtiznost"] = 0.4536,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -447,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3576}{8}",
["typ"] = "cislo" },
["tex"] = "-447",
["x"] = -447 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.45",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6}{-12})^3",
["typ"] = "mocnina" },
["render"] = "-7 \\cdot 8 - (\\frac{6}{-12})^3",
["typ"] = "minus" },
["render"] = "(-7 \\cdot 8 - (\\frac{6}{-12})^3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-7 \\cdot 8 - (\\frac{6}{-12})^3) \\cdot 8",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.46, bodu=124, $$12 - (\frac{2\frac{3}{6}}{-8})^2 \cdot (3\frac{1}{8} + 3\frac{1}{4})=\textcolor{white}{11\frac{773}{2048}}$$return {
["body"] = 124,
["id"] = "nnlScv_0504_1614",
["obtiznost"] = 1.1724,
["reseni"] = {
["float"] = 11.37744140625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23301,
["jmenovatel"] = 2048 },
["render"] = "\\frac{23301}{2048}",
["typ"] = "cislo" },
["tex"] = "11\\frac{773}{2048}",
["x"] = 11,
["y"] = 773,
["z"] = 2048 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{3}{6}}{-8})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{8} + 3\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "(\\frac{2\\frac{3}{6}}{-8})^2 \\cdot (3\\frac{1}{8} + 3\\frac{1}{4})",
["typ"] = "krat" },
["render"] = "12 - (\\frac{2\\frac{3}{6}}{-8})^2 \\cdot (3\\frac{1}{8} + 3\\frac{1}{4})",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.47, bodu=39, $$((\frac{-12}{-8})^2 + (-12)) \cdot (-5 - 11)=\textcolor{white}{156}$$return {
["body"] = 39,
["id"] = "IL9Yj2_0504_1614",
["obtiznost"] = 0.4752,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 156,
["jmenovatel"] = 1 },
["render"] = "\\frac{624}{4}",
["typ"] = "cislo" },
["tex"] = "156",
["x"] = 156 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-12}{-8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{-8})^2 + (-12)",
["typ"] = "plus" },
["render"] = "((\\frac{-12}{-8})^2 + (-12))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 - 11",
["typ"] = "minus" },
["render"] = "(-5 - 11)",
["typ"] = "zavorka" },
["render"] = "((\\frac{-12}{-8})^2 + (-12)) \\cdot (-5 - 11)",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.48, bodu=84, $$\frac{\frac{4\frac{1}{8} - 10}{18 \cdot 2\frac{1}{4}}}{14}=\textcolor{white}{-\frac{47}{4536}}$$return {
["body"] = 84,
["id"] = "8G6R3O_0504_1614",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -0.010361552028219,
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 4536 },
["render"] = "\\frac{-47}{4536}",
["typ"] = "cislo" },
["tex"] = "-\\frac{47}{4536}",
["y"] = -47,
["z"] = 4536 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 2\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{8} - 10}{18 \\cdot 2\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{1}{8} - 10}{18 \\cdot 2\\frac{1}{4}}}{14}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.49, bodu=61, $$-5 \cdot (18 + 3\frac{5}{9} - (-3) - (-9) - 11)=\textcolor{white}{-112\frac{7}{9}}$$return {
["body"] = 61,
["id"] = "NTpXp1_0504_1614",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -112.77777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1015,
["jmenovatel"] = 9 },
["render"] = "\\frac{-1015}{9}",
["typ"] = "cislo" },
["tex"] = "-112\\frac{7}{9}",
["x"] = -112,
["y"] = 7,
["z"] = 9 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - (-3)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} - (-3) - (-9)",
["typ"] = "minus" },
["render"] = "18 + 3\\frac{5}{9} - (-3) - (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "18 + 3\\frac{5}{9} - (-3) - (-9) - 11",
["typ"] = "minus" },
["render"] = "(18 + 3\\frac{5}{9} - (-3) - (-9) - 11)",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot (18 + 3\\frac{5}{9} - (-3) - (-9) - 11)",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.5, bodu=47, $$-14 \cdot (\frac{9}{15})^3 \cdot -16=\textcolor{white}{48{,}384}$$return {
["body"] = 47,
["id"] = "lr1Wsu_0504_1614",
["obtiznost"] = 0.5608,
["reseni"] = {
["float"] = 48.384,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6048,
["jmenovatel"] = 125 },
["render"] = "\\frac{6048}{125}",
["typ"] = "cislo" },
["tex"] = "48\\frac{48}{125}",
["tex_float"] = "48{,}384",
["x"] = 48,
["y"] = 48,
["z"] = 125 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{15})^3",
["typ"] = "mocnina" },
["render"] = "-14 \\cdot (\\frac{9}{15})^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-14 \\cdot (\\frac{9}{15})^3 \\cdot -16",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.51, bodu=63, $$4 - (4\frac{4}{7} \cdot -15 - 12) + 11=\textcolor{white}{95\frac{4}{7}}$$return {
["body"] = 63,
["id"] = "TK6Mr5_0504_1614",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 95.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 669,
["jmenovatel"] = 7 },
["render"] = "\\frac{669}{7}",
["typ"] = "cislo" },
["tex"] = "95\\frac{4}{7}",
["x"] = 95,
["y"] = 4,
["z"] = 7 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} \\cdot -15 - 12",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{7} \\cdot -15 - 12)",
["typ"] = "zavorka" },
["render"] = "4 - (4\\frac{4}{7} \\cdot -15 - 12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4 - (4\\frac{4}{7} \\cdot -15 - 12) + 11",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.52, bodu=90, $$((7 - 11)^2 - 3 \cdot 3\frac{3}{4}) \cdot 1\frac{2}{5}=\textcolor{white}{6{,}65}$$return {
["body"] = 90,
["id"] = "KGvLdl_0504_1614",
["obtiznost"] = 0.9268,
["reseni"] = {
["float"] = 6.65,
["objekt"] = {
["hodnota"] = {
["citatel"] = 133,
["jmenovatel"] = 20 },
["render"] = "\\frac{133}{20}",
["typ"] = "cislo" },
["tex"] = "6\\frac{13}{20}",
["tex_float"] = "6{,}65",
["x"] = 6,
["y"] = 13,
["z"] = 20 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.52",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "3 \\cdot 3\\frac{3}{4}",
["typ"] = "krat" },
["render"] = "(7 - 11)^2 - 3 \\cdot 3\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "((7 - 11)^2 - 3 \\cdot 3\\frac{3}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "((7 - 11)^2 - 3 \\cdot 3\\frac{3}{4}) \\cdot 1\\frac{2}{5}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.53, bodu=66, $$6 + 9 \cdot 11 + 1\frac{2}{3} + 11 + 6=\textcolor{white}{123\frac{2}{3}}$$return {
["body"] = 66,
["id"] = "nCHNTK_0504_1614",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 123.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 371,
["jmenovatel"] = 3 },
["render"] = "\\frac{371}{3}",
["typ"] = "cislo" },
["tex"] = "123\\frac{2}{3}",
["x"] = 123,
["y"] = 2,
["z"] = 3 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 \\cdot 11",
["typ"] = "krat" },
["render"] = "6 + 9 \\cdot 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{3} + 11",
["typ"] = "plus" },
["render"] = "6 + 9 \\cdot 11 + 1\\frac{2}{3} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 9 \\cdot 11 + 1\\frac{2}{3} + 11 + 6",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.54, bodu=92, $$(-12 \cdot 17 + \frac{2\frac{1}{4}}{11}) \cdot 4\frac{3}{5}=\textcolor{white}{-937\frac{101}{220}}$$return {
["body"] = 92,
["id"] = "jhe20G_0504_1614",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -937.45909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -206241,
["jmenovatel"] = 220 },
["render"] = "\\frac{-206241}{220}",
["typ"] = "cislo" },
["tex"] = "-937\\frac{101}{220}",
["x"] = -937,
["y"] = 101,
["z"] = 220 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.54",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{4}}{11}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot 17 + \\frac{2\\frac{1}{4}}{11}",
["typ"] = "plus" },
["render"] = "(-12 \\cdot 17 + \\frac{2\\frac{1}{4}}{11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "(-12 \\cdot 17 + \\frac{2\\frac{1}{4}}{11}) \\cdot 4\\frac{3}{5}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.55, bodu=151, $$\frac{4\frac{2}{5} + 10}{2\frac{4}{11} - 4\frac{5}{11} + 1\frac{2}{5} - 19}=\textcolor{white}{-\frac{264}{361}}$$return {
["body"] = 151,
["id"] = "ZuJgRN_0504_1614",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -0.73130193905817,
["objekt"] = {
["hodnota"] = {
["citatel"] = -264,
["jmenovatel"] = 361 },
["render"] = "\\frac{3960}{-5415}",
["typ"] = "cislo" },
["tex"] = "-\\frac{264}{361}",
["y"] = -264,
["z"] = 361 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} - 4\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} - 4\\frac{5}{11} + 1\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{11} - 4\\frac{5}{11} + 1\\frac{2}{5} - 19",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{5} + 10}{2\\frac{4}{11} - 4\\frac{5}{11} + 1\\frac{2}{5} - 19}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.56, bodu=23, $$(-13 - 12) \cdot (7 + (-9) - 16)=\textcolor{white}{450}$$return {
["body"] = 23,
["id"] = "anRIrk_0504_1614",
["obtiznost"] = 0.56,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 450,
["jmenovatel"] = 1 },
["render"] = "\\frac{450}{1}",
["typ"] = "cislo" },
["tex"] = "450",
["tex_float"] = "450",
["x"] = 450 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.56",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 - 12",
["typ"] = "minus" },
["render"] = "(-13 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "7 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "7 + (-9) - 16",
["typ"] = "minus" },
["render"] = "(7 + (-9) - 16)",
["typ"] = "zavorka" },
["render"] = "(-13 - 12) \\cdot (7 + (-9) - 16)",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.57, bodu=60, $$\frac{12}{-10 \cdot (\frac{15 + (-12)}{16})^2}=\textcolor{white}{-34\frac{2}{15}}$$return {
["body"] = 60,
["id"] = "18TxC3_0504_1614",
["obtiznost"] = 0.676,
["reseni"] = {
["float"] = -34.133333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -512,
["jmenovatel"] = 15 },
["render"] = "\\frac{1536}{-45}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{2}{15}",
["x"] = -34,
["y"] = 2,
["z"] = 15 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "15 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{15 + (-12)}{16}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{15 + (-12)}{16})^2",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot (\\frac{15 + (-12)}{16})^2",
["typ"] = "krat" },
["render"] = "\\frac{12}{-10 \\cdot (\\frac{15 + (-12)}{16})^2}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.58, bodu=49, $$\frac{6 \cdot 11}{6 + 12 + 13}=\textcolor{white}{2\frac{4}{31}}$$return {
["body"] = 49,
["id"] = "MOgPD9_0504_1614",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 2.1290322580645,
["objekt"] = {
["hodnota"] = {
["citatel"] = 66,
["jmenovatel"] = 31 },
["render"] = "\\frac{66}{31}",
["typ"] = "cislo" },
["tex"] = "2\\frac{4}{31}",
["x"] = 2,
["y"] = 4,
["z"] = 31 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 + 13",
["typ"] = "plus" },
["render"] = "6 + 12 + 13",
["typ"] = "plus" },
["render"] = "\\frac{6 \\cdot 11}{6 + 12 + 13}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.59, bodu=50, $$\frac{9}{-4 - \frac{-17 \cdot -16}{11}}=\textcolor{white}{-\frac{99}{316}}$$return {
["body"] = 50,
["id"] = "qCbCrH_0504_1614",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -0.31329113924051,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 316 },
["render"] = "\\frac{99}{-316}",
["typ"] = "cislo" },
["tex"] = "-\\frac{99}{316}",
["y"] = -99,
["z"] = 316 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-17 \\cdot -16}{11}",
["typ"] = "lomeno" },
["render"] = "-4 - \\frac{-17 \\cdot -16}{11}",
["typ"] = "minus" },
["render"] = "\\frac{9}{-4 - \\frac{-17 \\cdot -16}{11}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.6, bodu=100, $$\frac{3}{19} - (-18) - (-9) - (2\frac{3}{6} - 1\frac{2}{10})=\textcolor{white}{25\frac{163}{190}}$$return {
["body"] = 100,
["id"] = "CBrE9Y_0504_1614",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 25.857894736842,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4913,
["jmenovatel"] = 190 },
["render"] = "\\frac{4913}{190}",
["typ"] = "cislo" },
["tex"] = "25\\frac{163}{190}",
["x"] = 25,
["y"] = 163,
["z"] = 190 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{3}{19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{3}{19} - (-18)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{3}{19} - (-18) - (-9)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} - 1\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{6} - 1\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{3}{19} - (-18) - (-9) - (2\\frac{3}{6} - 1\\frac{2}{10})",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.61, bodu=140, $$\frac{11 - 4\frac{3}{9} + (\frac{18}{19})^2 + (-9)}{2\frac{2}{7}}=\textcolor{white}{-\frac{10885}{17328}}$$return {
["body"] = 140,
["id"] = "QePGwj_0504_1614",
["obtiznost"] = 1.284,
["reseni"] = {
["float"] = -0.62817405355494,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10885,
["jmenovatel"] = 17328 },
["render"] = "\\frac{-10885}{17328}",
["typ"] = "cislo" },
["tex"] = "-\\frac{10885}{17328}",
["y"] = -10885,
["z"] = 17328 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{18}{19}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{18}{19})^2",
["typ"] = "mocnina" },
["render"] = "11 - 4\\frac{3}{9} + (\\frac{18}{19})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{3}{9} + (\\frac{18}{19})^2 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{11 - 4\\frac{3}{9} + (\\frac{18}{19})^2 + (-9)}{2\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.62, bodu=131, $$-13 + 4\frac{3}{5} - 8 - (14 - \frac{1\frac{5}{13}}{3\frac{3}{6}})=\textcolor{white}{-30\frac{2}{455}}$$return {
["body"] = 131,
["id"] = "LeVbdC_0504_1614",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = -30.004395604396,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13652,
["jmenovatel"] = 455 },
["render"] = "\\frac{-13652}{455}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{2}{455}",
["x"] = -30,
["y"] = 2,
["z"] = 455 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} - 8",
["typ"] = "minus" },
["render"] = "-13 + 4\\frac{3}{5} - 8",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{13}}{3\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "14 - \\frac{1\\frac{5}{13}}{3\\frac{3}{6}}",
["typ"] = "minus" },
["render"] = "(14 - \\frac{1\\frac{5}{13}}{3\\frac{3}{6}})",
["typ"] = "zavorka" },
["render"] = "-13 + 4\\frac{3}{5} - 8 - (14 - \\frac{1\\frac{5}{13}}{3\\frac{3}{6}})",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.63, bodu=132, $$(15 - (3\frac{4}{6} - (-14 + (-14)))) \cdot \frac{1\frac{4}{8}}{2\frac{4}{9}}=\textcolor{white}{-10\frac{5}{22}}$$return {
["body"] = 132,
["id"] = "y7jf8g_0504_1614",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -10.227272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -225,
["jmenovatel"] = 22 },
["render"] = "\\frac{-1350}{132}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{5}{22}",
["x"] = -10,
["y"] = 5,
["z"] = 22 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-14 + (-14)",
["typ"] = "plus" },
["render"] = "(-14 + (-14))",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{6} - (-14 + (-14))",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{6} - (-14 + (-14)))",
["typ"] = "zavorka" },
["render"] = "15 - (3\\frac{4}{6} - (-14 + (-14)))",
["typ"] = "minus" },
["render"] = "(15 - (3\\frac{4}{6} - (-14 + (-14))))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{8}}{2\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "(15 - (3\\frac{4}{6} - (-14 + (-14)))) \\cdot \\frac{1\\frac{4}{8}}{2\\frac{4}{9}}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.64, bodu=79, $$-9 \cdot (5 - (-13)) \cdot (-12 + 4\frac{2}{9}) \cdot -8=\textcolor{white}{-10080}$$return {
["body"] = 79,
["id"] = "B00ZmA_0504_1614",
["obtiznost"] = 0.84,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -10080,
["jmenovatel"] = 1 },
["render"] = "\\frac{-90720}{9}",
["typ"] = "cislo" },
["tex"] = "-10080",
["tex_float"] = "-10080",
["x"] = -10080 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "5 - (-13)",
["typ"] = "minus" },
["render"] = "(5 - (-13))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (5 - (-13))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-12 + 4\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(-12 + 4\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(-12 + 4\\frac{2}{9}) \\cdot -8",
["typ"] = "krat" },
["render"] = "-9 \\cdot (5 - (-13)) \\cdot (-12 + 4\\frac{2}{9}) \\cdot -8",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.65, bodu=80, $$14 \cdot 14 \cdot (8 - (-8) - (2\frac{1}{3} + 18))=\textcolor{white}{-849\frac{1}{3}}$$return {
["body"] = 80,
["id"] = "xOeCTc_0504_1614",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -849.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2548,
["jmenovatel"] = 3 },
["render"] = "\\frac{-2548}{3}",
["typ"] = "cislo" },
["tex"] = "-849\\frac{1}{3}",
["x"] = -849,
["y"] = 1,
["z"] = 3 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "14 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 - (-8)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} + 18",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{3} + 18)",
["typ"] = "zavorka" },
["render"] = "8 - (-8) - (2\\frac{1}{3} + 18)",
["typ"] = "minus" },
["render"] = "(8 - (-8) - (2\\frac{1}{3} + 18))",
["typ"] = "zavorka" },
["render"] = "14 \\cdot 14 \\cdot (8 - (-8) - (2\\frac{1}{3} + 18))",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.66, bodu=108, $$(8 - 14) \cdot \frac{2\frac{3}{6} \cdot 18}{3\frac{5}{8}}=\textcolor{white}{-74\frac{14}{29}}$$return {
["body"] = 108,
["id"] = "TwpbjQ_0504_1614",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -74.48275862069,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2160,
["jmenovatel"] = 29 },
["render"] = "\\frac{-2160}{29}",
["typ"] = "cislo" },
["tex"] = "-74\\frac{14}{29}",
["x"] = -74,
["y"] = 14,
["z"] = 29 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.66",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 - 14",
["typ"] = "minus" },
["render"] = "(8 - 14)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6} \\cdot 18}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "(8 - 14) \\cdot \\frac{2\\frac{3}{6} \\cdot 18}{3\\frac{5}{8}}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.67, bodu=83, $$\frac{-14 + 3\frac{3}{8}}{-18 + (-12 - 12 \cdot -16)}=\textcolor{white}{-\frac{85}{1296}}$$return {
["body"] = 83,
["id"] = "ustaOw_0504_1614",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = -0.065586419753086,
["objekt"] = {
["hodnota"] = {
["citatel"] = -85,
["jmenovatel"] = 1296 },
["render"] = "\\frac{-85}{1296}",
["typ"] = "cislo" },
["tex"] = "-\\frac{85}{1296}",
["y"] = -85,
["z"] = 1296 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-14 + 3\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "12 \\cdot -16",
["typ"] = "krat" },
["render"] = "-12 - 12 \\cdot -16",
["typ"] = "minus" },
["render"] = "-18 + (-12 - 12 \\cdot -16)",
["typ"] = "plus" },
["render"] = "\\frac{-14 + 3\\frac{3}{8}}{-18 + (-12 - 12 \\cdot -16)}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.68, bodu=60, $$\frac{-20}{-9} + (-8 - (-18)) + \frac{-11}{8}=\textcolor{white}{10\frac{61}{72}}$$return {
["body"] = 60,
["id"] = "EvJDph_0504_1614",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 10.847222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 781,
["jmenovatel"] = 72 },
["render"] = "\\frac{781}{72}",
["typ"] = "cislo" },
["tex"] = "10\\frac{61}{72}",
["x"] = 10,
["y"] = 61,
["z"] = 72 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-8 - (-18)",
["typ"] = "minus" },
["render"] = "\\frac{-20}{-9} + (-8 - (-18))",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{-20}{-9} + (-8 - (-18)) + \\frac{-11}{8}",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.69, bodu=85, $$\frac{-11 + (-8)}{\frac{-9}{17} \cdot (-6 + 2\frac{4}{8})}=\textcolor{white}{-10\frac{16}{63}}$$return {
["body"] = 85,
["id"] = "k8YyK7_0504_1614",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -10.253968253968,
["objekt"] = {
["hodnota"] = {
["citatel"] = -646,
["jmenovatel"] = 63 },
["render"] = "\\frac{-646}{63}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{16}{63}",
["x"] = -10,
["y"] = 16,
["z"] = 63 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-11 + (-8)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{17}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-6 + 2\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(-6 + 2\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{17} \\cdot (-6 + 2\\frac{4}{8})",
["typ"] = "krat" },
["render"] = "\\frac{-11 + (-8)}{\\frac{-9}{17} \\cdot (-6 + 2\\frac{4}{8})}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.7, bodu=124, $$(17 + (10 + 10)^2) \cdot (12 - (-5))^2 \cdot 4\frac{3}{8}=\textcolor{white}{527244{,}375}$$return {
["body"] = 124,
["id"] = "YmeTk9_0504_1614",
["obtiznost"] = 1.1764,
["reseni"] = {
["float"] = 527244.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4217955,
["jmenovatel"] = 8 },
["render"] = "\\frac{4217955}{8}",
["typ"] = "cislo" },
["tex"] = "527244\\frac{3}{8}",
["tex_float"] = "527244{,}375",
["x"] = 527244,
["y"] = 3,
["z"] = 8 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 10)^2",
["typ"] = "mocnina" },
["render"] = "17 + (10 + 10)^2",
["typ"] = "plus" },
["render"] = "(17 + (10 + 10)^2)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "12 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - (-5))^2",
["typ"] = "mocnina" },
["render"] = "(17 + (10 + 10)^2) \\cdot (12 - (-5))^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(17 + (10 + 10)^2) \\cdot (12 - (-5))^2 \\cdot 4\\frac{3}{8}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.71, bodu=63, $$\frac{-11 \cdot 4}{-17 \cdot -11} + 10=\textcolor{white}{9\frac{13}{17}}$$return {
["body"] = 63,
["id"] = "Pn5R8e_0504_1614",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 9.7647058823529,
["objekt"] = {
["hodnota"] = {
["citatel"] = 166,
["jmenovatel"] = 17 },
["render"] = "\\frac{166}{17}",
["typ"] = "cislo" },
["tex"] = "9\\frac{13}{17}",
["x"] = 9,
["y"] = 13,
["z"] = 17 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{-11 \\cdot 4}{-17 \\cdot -11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot 4}{-17 \\cdot -11} + 10",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.72, bodu=37, $$11 \cdot 11 \cdot 18 - (-9 + (-6))^2 + (-2)=\textcolor{white}{1951}$$return {
["body"] = 37,
["id"] = "H75Mih_0504_1614",
["obtiznost"] = 0.8104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1951,
["jmenovatel"] = 1 },
["render"] = "\\frac{1951}{1}",
["typ"] = "cislo" },
["tex"] = "1951",
["tex_float"] = "1951",
["x"] = 1951 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "11 \\cdot 18",
["typ"] = "krat" },
["render"] = "11 \\cdot 11 \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-9 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + (-6))^2",
["typ"] = "mocnina" },
["render"] = "11 \\cdot 11 \\cdot 18 - (-9 + (-6))^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "11 \\cdot 11 \\cdot 18 - (-9 + (-6))^2 + (-2)",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.73, bodu=92, $$(\frac{-18}{-18})^2 \cdot 11 \cdot ((11 + (-8))^2 + 14)^2=\textcolor{white}{5819}$$return {
["body"] = 92,
["id"] = "pOWUr6_0504_1614",
["obtiznost"] = 0.9468,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5819,
["jmenovatel"] = 1 },
["render"] = "\\frac{5819}{1}",
["typ"] = "cislo" },
["tex"] = "5819",
["tex_float"] = "5819",
["x"] = 5819 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.73",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-18}{-18})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(11 + (-8))^2 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "((11 + (-8))^2 + 14)^2",
["typ"] = "mocnina" },
["render"] = "11 \\cdot ((11 + (-8))^2 + 14)^2",
["typ"] = "krat" },
["render"] = "(\\frac{-18}{-18})^2 \\cdot 11 \\cdot ((11 + (-8))^2 + 14)^2",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.74, bodu=136, $$\frac{-12}{2\frac{3}{12} + \frac{2}{(-7 \cdot 4)^2}}=\textcolor{white}{-5\frac{289}{883}}$$return {
["body"] = 136,
["id"] = "BCjEZA_0504_1614",
["obtiznost"] = 1.254,
["reseni"] = {
["float"] = -5.3272933182333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4704,
["jmenovatel"] = 883 },
["render"] = "\\frac{-4704}{883}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{289}{883}",
["x"] = -5,
["y"] = 289,
["z"] = 883 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-7 \\cdot 4)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2}{(-7 \\cdot 4)^2}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{12} + \\frac{2}{(-7 \\cdot 4)^2}",
["typ"] = "plus" },
["render"] = "\\frac{-12}{2\\frac{3}{12} + \\frac{2}{(-7 \\cdot 4)^2}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.75, bodu=151, $$2\frac{1}{9} \cdot (-15 - 2\frac{2}{6}) + (-12 + \frac{19}{1\frac{5}{13}})=\textcolor{white}{-34\frac{47}{54}}$$return {
["body"] = 151,
["id"] = "vds4ZV_0504_1614",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -34.87037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1883,
["jmenovatel"] = 54 },
["render"] = "\\frac{-16947}{486}",
["typ"] = "cislo" },
["tex"] = "-34\\frac{47}{54}",
["x"] = -34,
["y"] = 47,
["z"] = 54 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-15 - 2\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(-15 - 2\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{9} \\cdot (-15 - 2\\frac{2}{6})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{19}{1\\frac{5}{13}}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{19}{1\\frac{5}{13}}",
["typ"] = "plus" },
["render"] = "2\\frac{1}{9} \\cdot (-15 - 2\\frac{2}{6}) + (-12 + \\frac{19}{1\\frac{5}{13}})",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.76, bodu=128, $$((8 - (-15))^2 + (-13)) \cdot ((\frac{14}{8})^2 + 3\frac{4}{12})=\textcolor{white}{3300{,}25}$$return {
["body"] = 128,
["id"] = "O0SYg5_0504_1614",
["obtiznost"] = 1.198,
["reseni"] = {
["float"] = 3300.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13201,
["jmenovatel"] = 4 },
["render"] = "\\frac{158412}{48}",
["typ"] = "cislo" },
["tex"] = "3300\\frac{1}{4}",
["tex_float"] = "3300{,}25",
["x"] = 3300,
["y"] = 1,
["z"] = 4 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "8 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - (-15))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(8 - (-15))^2 + (-13)",
["typ"] = "plus" },
["render"] = "((8 - (-15))^2 + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{14}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{14}{8})^2 + 3\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "((\\frac{14}{8})^2 + 3\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "((8 - (-15))^2 + (-13)) \\cdot ((\\frac{14}{8})^2 + 3\\frac{4}{12})",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.77, bodu=95, $$\frac{4\frac{3}{3}}{-19} - (2\frac{1}{3} - (-7)) \cdot (-14 + 19)=\textcolor{white}{-46\frac{53}{57}}$$return {
["body"] = 95,
["id"] = "0KO6Ac_0504_1614",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -46.929824561404,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2675,
["jmenovatel"] = 57 },
["render"] = "\\frac{-2675}{57}",
["typ"] = "cislo" },
["tex"] = "-46\\frac{53}{57}",
["x"] = -46,
["y"] = 53,
["z"] = 57 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{3}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{3}}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} - (-7)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{3} - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-14 + 19",
["typ"] = "plus" },
["render"] = "(-14 + 19)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{1}{3} - (-7)) \\cdot (-14 + 19)",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{3}{3}}{-19} - (2\\frac{1}{3} - (-7)) \\cdot (-14 + 19)",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.78, bodu=97, $$-13 \cdot 8 - \frac{11}{3\frac{1}{10}} + 7 - 12=\textcolor{white}{-112\frac{17}{31}}$$return {
["body"] = 97,
["id"] = "Rgmh9P_0504_1614",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -112.54838709677,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3489,
["jmenovatel"] = 31 },
["render"] = "\\frac{-3489}{31}",
["typ"] = "cislo" },
["tex"] = "-112\\frac{17}{31}",
["x"] = -112,
["y"] = 17,
["z"] = 31 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot 8 - \\frac{11}{3\\frac{1}{10}}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 8 - \\frac{11}{3\\frac{1}{10}} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 8 - \\frac{11}{3\\frac{1}{10}} + 7 - 12",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.79, bodu=190, $$\frac{4\frac{4}{13} \cdot -9 + 4\frac{2}{4} - 2\frac{2}{5}}{1\frac{2}{7} - (-7)}=\textcolor{white}{-4\frac{3209}{7540}}$$return {
["body"] = 190,
["id"] = "TXfwLf_0504_1614",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -4.4255968169761,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33369,
["jmenovatel"] = 7540 },
["render"] = "\\frac{-33369}{7540}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{3209}{7540}",
["x"] = -4,
["y"] = 3209,
["z"] = 7540 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{13} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{13} \\cdot -9 + 4\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{13} \\cdot -9 + 4\\frac{2}{4} - 2\\frac{2}{5}",
["typ"] = "minus" },
["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} - (-7)",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{4}{13} \\cdot -9 + 4\\frac{2}{4} - 2\\frac{2}{5}}{1\\frac{2}{7} - (-7)}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.8, bodu=128, $$\frac{3\frac{2}{7}}{10 \cdot (-16 + 2\frac{5}{9})} \cdot (9 + (-3))=\textcolor{white}{-\frac{621}{4235}}$$return {
["body"] = 128,
["id"] = "Obsxna_0504_1614",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -0.14663518299882,
["objekt"] = {
["hodnota"] = {
["citatel"] = -621,
["jmenovatel"] = 4235 },
["render"] = "\\frac{-1242}{8470}",
["typ"] = "cislo" },
["tex"] = "-\\frac{621}{4235}",
["y"] = -621,
["z"] = 4235 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-16 + 2\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(-16 + 2\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (-16 + 2\\frac{5}{9})",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{7}}{10 \\cdot (-16 + 2\\frac{5}{9})}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "9 + (-3)",
["typ"] = "plus" },
["render"] = "(9 + (-3))",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{2}{7}}{10 \\cdot (-16 + 2\\frac{5}{9})} \\cdot (9 + (-3))",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.81, bodu=160, $$4\frac{1}{8} \cdot -21 \cdot 2\frac{1}{6} \cdot (12 + 18 \cdot 3\frac{3}{9})=\textcolor{white}{-13513{,}5}$$return {
["body"] = 160,
["id"] = "M6aFFO_0504_1614",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -13513.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27027,
["jmenovatel"] = 2 },
["render"] = "\\frac{-216216}{16}",
["typ"] = "cislo" },
["tex"] = "-13513\\frac{1}{2}",
["tex_float"] = "-13513{,}5",
["x"] = -13513,
["y"] = 1,
["z"] = 2 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{8} \\cdot -21 \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 3\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "12 + 18 \\cdot 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(12 + 18 \\cdot 3\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{8} \\cdot -21 \\cdot 2\\frac{1}{6} \\cdot (12 + 18 \\cdot 3\\frac{3}{9})",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.82, bodu=162, $$\frac{-12}{1\frac{4}{8} + 4\frac{3}{8}} \cdot 14 \cdot 1\frac{1}{4} \cdot 19=\textcolor{white}{-679\frac{7}{47}}$$return {
["body"] = 162,
["id"] = "owvOqc_0504_1614",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = -679.14893617021,
["objekt"] = {
["hodnota"] = {
["citatel"] = -31920,
["jmenovatel"] = 47 },
["render"] = "\\frac{-63840}{94}",
["typ"] = "cislo" },
["tex"] = "-679\\frac{7}{47}",
["x"] = -679,
["y"] = 7,
["z"] = 47 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 4\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-12}{1\\frac{4}{8} + 4\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "14 \\cdot 1\\frac{1}{4} \\cdot 19",
["typ"] = "krat" },
["render"] = "\\frac{-12}{1\\frac{4}{8} + 4\\frac{3}{8}} \\cdot 14 \\cdot 1\\frac{1}{4} \\cdot 19",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.83, bodu=104, $$\frac{2\frac{1}{6}}{\frac{8 \cdot \frac{1\frac{4}{4}}{-9}}{-12}}=\textcolor{white}{14{,}625}$$return {
["body"] = 104,
["id"] = "DJqAAP_0504_1614",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 14.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 117,
["jmenovatel"] = 8 },
["render"] = "\\frac{351}{24}",
["typ"] = "cislo" },
["tex"] = "14\\frac{5}{8}",
["tex_float"] = "14{,}625",
["x"] = 14,
["y"] = 5,
["z"] = 8 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{4}}{-9}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{1\\frac{4}{4}}{-9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot \\frac{1\\frac{4}{4}}{-9}}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{6}}{\\frac{8 \\cdot \\frac{1\\frac{4}{4}}{-9}}{-12}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.84, bodu=165, $$\frac{\frac{1\frac{4}{6}}{-3}}{2\frac{3}{11}} \cdot \frac{4\frac{3}{10}}{9}=\textcolor{white}{-\frac{473}{4050}}$$return {
["body"] = 165,
["id"] = "oWj2BQ_0504_1614",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -0.11679012345679,
["objekt"] = {
["hodnota"] = {
["citatel"] = -473,
["jmenovatel"] = 4050 },
["render"] = "\\frac{-473}{4050}",
["typ"] = "cislo" },
["tex"] = "-\\frac{473}{4050}",
["y"] = -473,
["z"] = 4050 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{6}}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{4}{6}}{-3}}{2\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{10}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{1\\frac{4}{6}}{-3}}{2\\frac{3}{11}} \\cdot \\frac{4\\frac{3}{10}}{9}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.85, bodu=236, $$4\frac{5}{9} + 2\frac{5}{10} - (2\frac{3}{6} - 13) \cdot (8 + 4\frac{5}{11} + 3\frac{1}{7})=\textcolor{white}{170\frac{82}{99}}$$return {
["body"] = 236,
["id"] = "09myLi_0504_1614",
["obtiznost"] = 1.85,
["reseni"] = {
["float"] = 170.82828282828,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16912,
["jmenovatel"] = 99 },
["render"] = "\\frac{16912}{99}",
["typ"] = "cislo" },
["tex"] = "170\\frac{82}{99}",
["x"] = 170,
["y"] = 82,
["z"] = 99 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} - 13",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{6} - 13)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{5}{11} + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(8 + 4\\frac{5}{11} + 3\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{3}{6} - 13) \\cdot (8 + 4\\frac{5}{11} + 3\\frac{1}{7})",
["typ"] = "krat" },
["render"] = "2\\frac{5}{10} - (2\\frac{3}{6} - 13) \\cdot (8 + 4\\frac{5}{11} + 3\\frac{1}{7})",
["typ"] = "minus" },
["render"] = "4\\frac{5}{9} + 2\\frac{5}{10} - (2\\frac{3}{6} - 13) \\cdot (8 + 4\\frac{5}{11} + 3\\frac{1}{7})",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.86, bodu=137, $$\frac{\frac{-13}{13 + 4\frac{5}{10}}}{-14 + \frac{15}{2\frac{1}{9}}}=\textcolor{white}{\frac{494}{4585}}$$return {
["body"] = 137,
["id"] = "MSsP5m_0504_1614",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 0.10774263904035,
["objekt"] = {
["hodnota"] = {
["citatel"] = 494,
["jmenovatel"] = 4585 },
["render"] = "\\frac{-494}{-4585}",
["typ"] = "cislo" },
["tex"] = "\\frac{494}{4585}",
["y"] = 494,
["z"] = 4585 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-13}{13 + 4\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{2\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "-14 + \\frac{15}{2\\frac{1}{9}}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-13}{13 + 4\\frac{5}{10}}}{-14 + \\frac{15}{2\\frac{1}{9}}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.87, bodu=138, $$1\frac{3}{5} \cdot 4\frac{2}{9} \cdot 12 \cdot \frac{17}{19}=\textcolor{white}{72\frac{8}{15}}$$return {
["body"] = 138,
["id"] = "HepzGw_0504_1614",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 72.533333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1088,
["jmenovatel"] = 15 },
["render"] = "\\frac{20672}{285}",
["typ"] = "cislo" },
["tex"] = "72\\frac{8}{15}",
["x"] = 72,
["y"] = 8,
["z"] = 15 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} \\cdot 12",
["typ"] = "krat" },
["render"] = "1\\frac{3}{5} \\cdot 4\\frac{2}{9} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{17}{19}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{5} \\cdot 4\\frac{2}{9} \\cdot 12 \\cdot \\frac{17}{19}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.88, bodu=111, $$\frac{-16 + 2\frac{5}{12} + (-12)}{-10 \cdot -19} \cdot -15=\textcolor{white}{2\frac{3}{152}}$$return {
["body"] = 111,
["id"] = "Y4LrVW_0504_1614",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 2.0197368421053,
["objekt"] = {
["hodnota"] = {
["citatel"] = 307,
["jmenovatel"] = 152 },
["render"] = "\\frac{4605}{2280}",
["typ"] = "cislo" },
["tex"] = "2\\frac{3}{152}",
["x"] = 2,
["y"] = 3,
["z"] = 152 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-16 + 2\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-16 + 2\\frac{5}{12} + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -19",
["typ"] = "krat" },
["render"] = "\\frac{-16 + 2\\frac{5}{12} + (-12)}{-10 \\cdot -19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-16 + 2\\frac{5}{12} + (-12)}{-10 \\cdot -19} \\cdot -15",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.89, bodu=207, $$\frac{\frac{17}{11}}{4\frac{1}{5}} - (2\frac{1}{6} - 3\frac{5}{9} - 4\frac{2}{9})=\textcolor{white}{5\frac{1357}{1386}}$$return {
["body"] = 207,
["id"] = "sZl1ra_0504_1614",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 5.9790764790765,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8287,
["jmenovatel"] = 1386 },
["render"] = "\\frac{24861}{4158}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1357}{1386}",
["x"] = 5,
["y"] = 1357,
["z"] = 1386 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{17}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{17}{11}}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - 3\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - 3\\frac{5}{9} - 4\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{6} - 3\\frac{5}{9} - 4\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{17}{11}}{4\\frac{1}{5}} - (2\\frac{1}{6} - 3\\frac{5}{9} - 4\\frac{2}{9})",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.9, bodu=143, $$(4\frac{5}{10} + 19) \cdot \frac{\frac{4}{-7}}{-18 + 1\frac{2}{4}}=\textcolor{white}{\frac{188}{231}}$$return {
["body"] = 143,
["id"] = "9hBtXc_0504_1614",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 0.81385281385281,
["objekt"] = {
["hodnota"] = {
["citatel"] = 188,
["jmenovatel"] = 231 },
["render"] = "\\frac{376}{462}",
["typ"] = "cislo" },
["tex"] = "\\frac{188}{231}",
["y"] = 188,
["z"] = 231 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + 19",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} + 19)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-18 + 1\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{4}{-7}}{-18 + 1\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{5}{10} + 19) \\cdot \\frac{\\frac{4}{-7}}{-18 + 1\\frac{2}{4}}",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.91, bodu=211, $$18 - 3\frac{2}{6} + (-7 \cdot (1\frac{4}{9} - 1\frac{5}{11}) \cdot 4\frac{1}{6})=\textcolor{white}{14\frac{571}{594}}$$return {
["body"] = 211,
["id"] = "9t4CHc_0504_1614",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = 14.961279461279,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8887,
["jmenovatel"] = 594 },
["render"] = "\\frac{26661}{1782}",
["typ"] = "cislo" },
["tex"] = "14\\frac{571}{594}",
["x"] = 14,
["y"] = 571,
["z"] = 594 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "18 - 3\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - 1\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{9} - 1\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (1\\frac{4}{9} - 1\\frac{5}{11})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot (1\\frac{4}{9} - 1\\frac{5}{11}) \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "18 - 3\\frac{2}{6} + (-7 \\cdot (1\\frac{4}{9} - 1\\frac{5}{11}) \\cdot 4\\frac{1}{6})",
["typ"] = "plus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.92, bodu=222, $$\frac{\frac{7}{2\frac{3}{11}}}{3\frac{3}{7} + 2\frac{1}{2}} \cdot (8 + (-13))^4=\textcolor{white}{324\frac{58}{83}}$$return {
["body"] = 222,
["id"] = "TvjZ3M_0504_1614",
["obtiznost"] = 1.7704,
["reseni"] = {
["float"] = 324.69879518072,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26950,
["jmenovatel"] = 83 },
["render"] = "\\frac{673750}{2075}",
["typ"] = "cislo" },
["tex"] = "324\\frac{58}{83}",
["x"] = 324,
["y"] = 58,
["z"] = 83 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{2\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} + 2\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{7}{2\\frac{3}{11}}}{3\\frac{3}{7} + 2\\frac{1}{2}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "8 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(8 + (-13))^4",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{7}{2\\frac{3}{11}}}{3\\frac{3}{7} + 2\\frac{1}{2}} \\cdot (8 + (-13))^4",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.93, bodu=241, $$(-6 + (\frac{14}{4\frac{4}{8}})^2 \cdot 1\frac{2}{7} - (4\frac{3}{9} + (-21))) \cdot -17=\textcolor{white}{-392\frac{8}{9}}$$return {
["body"] = 241,
["id"] = "MspAJI_0504_1614",
["obtiznost"] = 1.876,
["reseni"] = {
["float"] = -392.88888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3536,
["jmenovatel"] = 9 },
["render"] = "\\frac{-3536}{9}",
["typ"] = "cislo" },
["tex"] = "-392\\frac{8}{9}",
["x"] = -392,
["y"] = 8,
["z"] = 9 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.93",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{14}{4\\frac{4}{8}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{14}{4\\frac{4}{8}})^2 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "-6 + (\\frac{14}{4\\frac{4}{8}})^2 \\cdot 1\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + (-21)",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{9} + (-21))",
["typ"] = "zavorka" },
["render"] = "-6 + (\\frac{14}{4\\frac{4}{8}})^2 \\cdot 1\\frac{2}{7} - (4\\frac{3}{9} + (-21))",
["typ"] = "minus" },
["render"] = "(-6 + (\\frac{14}{4\\frac{4}{8}})^2 \\cdot 1\\frac{2}{7} - (4\\frac{3}{9} + (-21)))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(-6 + (\\frac{14}{4\\frac{4}{8}})^2 \\cdot 1\\frac{2}{7} - (4\\frac{3}{9} + (-21))) \\cdot -17",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.94, bodu=181, $$\frac{2\frac{5}{11} - (-22)}{\frac{\frac{8 - 1\frac{1}{12}}{-12}}{2\frac{4}{12}}}=\textcolor{white}{-98\frac{910}{913}}$$return {
["body"] = 181,
["id"] = "u15dLR_0504_1614",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -98.996714129244,
["objekt"] = {
["hodnota"] = {
["citatel"] = -90384,
["jmenovatel"] = 913 },
["render"] = "\\frac{90384}{-913}",
["typ"] = "cislo" },
["tex"] = "-98\\frac{910}{913}",
["x"] = -98,
["y"] = 910,
["z"] = 913 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - (-22)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 12 },
["render"] = "1\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "8 - 1\\frac{1}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{8 - 1\\frac{1}{12}}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8 - 1\\frac{1}{12}}{-12}}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{11} - (-22)}{\\frac{\\frac{8 - 1\\frac{1}{12}}{-12}}{2\\frac{4}{12}}}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.95, bodu=197, $$(3\frac{3}{6} - 1\frac{3}{9})^2 - (1\frac{4}{14} + (-20 \cdot 10 \cdot -19))=\textcolor{white}{-3796\frac{149}{252}}$$return {
["body"] = 197,
["id"] = "rA3Hg9_0504_1614",
["obtiznost"] = 1.632,
["reseni"] = {
["float"] = -3796.5912698413,
["objekt"] = {
["hodnota"] = {
["citatel"] = -956741,
["jmenovatel"] = 252 },
["render"] = "\\frac{-956741}{252}",
["typ"] = "cislo" },
["tex"] = "-3796\\frac{149}{252}",
["x"] = -3796,
["y"] = 149,
["z"] = 252 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.95",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - 1\\frac{3}{9}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{3}{6} - 1\\frac{3}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "10 \\cdot -19",
["typ"] = "krat" },
["render"] = "-20 \\cdot 10 \\cdot -19",
["typ"] = "krat" },
["render"] = "1\\frac{4}{14} + (-20 \\cdot 10 \\cdot -19)",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{14} + (-20 \\cdot 10 \\cdot -19))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{3}{6} - 1\\frac{3}{9})^2 - (1\\frac{4}{14} + (-20 \\cdot 10 \\cdot -19))",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.96, bodu=185, $$(-11 + (3\frac{4}{8} + 2\frac{5}{12}) \cdot \frac{-13}{1\frac{1}{7}}) \cdot 18=\textcolor{white}{-1409\frac{7}{16}}$$return {
["body"] = 185,
["id"] = "np9EX2_0504_1614",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -1409.4375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22551,
["jmenovatel"] = 16 },
["render"] = "\\frac{-135306}{96}",
["typ"] = "cislo" },
["tex"] = "-1409\\frac{7}{16}",
["x"] = -1409,
["y"] = 7,
["z"] = 16 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.96",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + 2\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{8} + 2\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{1\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{4}{8} + 2\\frac{5}{12}) \\cdot \\frac{-13}{1\\frac{1}{7}}",
["typ"] = "krat" },
["render"] = "-11 + (3\\frac{4}{8} + 2\\frac{5}{12}) \\cdot \\frac{-13}{1\\frac{1}{7}}",
["typ"] = "plus" },
["render"] = "(-11 + (3\\frac{4}{8} + 2\\frac{5}{12}) \\cdot \\frac{-13}{1\\frac{1}{7}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "(-11 + (3\\frac{4}{8} + 2\\frac{5}{12}) \\cdot \\frac{-13}{1\\frac{1}{7}}) \\cdot 18",
["typ"] = "krat" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.97, bodu=258, $$1\frac{2}{10} - \frac{1\frac{2}{8} - 3\frac{3}{14}}{4 + 1\frac{3}{7}} \cdot 2\frac{3}{7}=\textcolor{white}{2\frac{419}{5320}}$$return {
["body"] = 258,
["id"] = "KMRVGl_0504_1614",
["obtiznost"] = 1.97,
["reseni"] = {
["float"] = 2.0787593984962,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11059,
["jmenovatel"] = 5320 },
["render"] = "\\frac{11059}{5320}",
["typ"] = "cislo" },
["tex"] = "2\\frac{419}{5320}",
["x"] = 2,
["y"] = 419,
["z"] = 5320 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 14 },
["render"] = "3\\frac{3}{14}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - 3\\frac{3}{14}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "4 + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{2}{8} - 3\\frac{3}{14}}{4 + 1\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{8} - 3\\frac{3}{14}}{4 + 1\\frac{3}{7}} \\cdot 2\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "1\\frac{2}{10} - \\frac{1\\frac{2}{8} - 3\\frac{3}{14}}{4 + 1\\frac{3}{7}} \\cdot 2\\frac{3}{7}",
["typ"] = "minus" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.98, bodu=156, $$\frac{13 \cdot (4\frac{1}{4} - 3\frac{3}{10} + (-17))}{(\frac{9}{-9})^2}=\textcolor{white}{-208{,}65}$$return {
["body"] = 156,
["id"] = "9hwtQK_0504_1614",
["obtiznost"] = 1.3808,
["reseni"] = {
["float"] = -208.65,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4173,
["jmenovatel"] = 20 },
["render"] = "\\frac{-4173}{20}",
["typ"] = "cislo" },
["tex"] = "-208\\frac{13}{20}",
["tex_float"] = "-208{,}65",
["x"] = -208,
["y"] = 13,
["z"] = 20 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} - 3\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} - 3\\frac{3}{10} + (-17)",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{4} - 3\\frac{3}{10} + (-17))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (4\\frac{1}{4} - 3\\frac{3}{10} + (-17))",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{-9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{13 \\cdot (4\\frac{1}{4} - 3\\frac{3}{10} + (-17))}{(\\frac{9}{-9})^2}",
["typ"] = "lomeno" } }
seed: tTUkDdYl2GdPYAE3uSYY_0.99, bodu=225, $$\frac{\frac{1\frac{5}{12} + (-18)}{4\frac{5}{12} - 2\frac{4}{9}}}{\frac{2\frac{5}{10}}{12}}=\textcolor{white}{-40\frac{128}{355}}$$return {
["body"] = 225,
["id"] = "mMkAVF_0504_1614",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -40.360563380282,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14328,
["jmenovatel"] = 355 },
["render"] = "\\frac{-14328}{355}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{128}{355}",
["x"] = -40,
["y"] = 128,
["z"] = 355 },
["seed"] = "tTUkDdYl2GdPYAE3uSYY_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} + (-18)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - 2\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{5}{12} + (-18)}{4\\frac{5}{12} - 2\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10}}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{1\\frac{5}{12} + (-18)}{4\\frac{5}{12} - 2\\frac{4}{9}}}{\\frac{2\\frac{5}{10}}{12}}",
["typ"] = "lomeno" } }
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
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anime-cegfdhhhlebration-gif-9.gif: 
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