- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: Q4nywYL9OPgywkil6E8a_0, bodu=5, $$6 \cdot (5 + 8 + 8 - 5)=\textcolor{white}{96}$$return {
["body"] = 5,
["id"] = "3qIGBg_1010_0915",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 1 },
["render"] = "\\frac{96}{1}",
["typ"] = "cislo" },
["tex"] = "96",
["tex_float"] = "96",
["x"] = 96 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 8 - 5",
["typ"] = "minus" },
["render"] = "5 + 8 + 8 - 5",
["typ"] = "plus" },
["render"] = "(5 + 8 + 8 - 5)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (5 + 8 + 8 - 5)",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.01, bodu=10, $$\frac{9 - 10 + (-7)}{8}=\textcolor{white}{-1}$$return {
["body"] = 10,
["id"] = "2Uis7S_1010_0915",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8}{8}",
["typ"] = "cislo" },
["tex"] = "-1",
["x"] = -1 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 - 10 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9 - 10 + (-7)}{8}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.02, bodu=5, $$6 + 8 \cdot (8 + 5)=\textcolor{white}{110}$$return {
["body"] = 5,
["id"] = "2dkHNf_1010_0915",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 110,
["jmenovatel"] = 1 },
["render"] = "\\frac{110}{1}",
["typ"] = "cislo" },
["tex"] = "110",
["tex_float"] = "110",
["x"] = 110 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["render"] = "(8 + 5)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (8 + 5)",
["typ"] = "krat" },
["render"] = "6 + 8 \\cdot (8 + 5)",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.03, bodu=10, $$\frac{5}{7} \cdot 9=\textcolor{white}{6\frac{3}{7}}$$return {
["body"] = 10,
["id"] = "3peZiD_1010_0915",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 6.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 7 },
["render"] = "\\frac{45}{7}",
["typ"] = "cislo" },
["tex"] = "6\\frac{3}{7}",
["x"] = 6,
["y"] = 3,
["z"] = 7 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7} \\cdot 9",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.04, bodu=5, $$(-6 - 8 \cdot 5) \cdot 3=\textcolor{white}{-138}$$return {
["body"] = 5,
["id"] = "t33oC4_1010_0915",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -138,
["jmenovatel"] = 1 },
["render"] = "\\frac{-138}{1}",
["typ"] = "cislo" },
["tex"] = "-138",
["x"] = -138 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.04",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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 \\cdot 5",
["typ"] = "krat" },
["render"] = "-6 - 8 \\cdot 5",
["typ"] = "minus" },
["render"] = "(-6 - 8 \\cdot 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-6 - 8 \\cdot 5) \\cdot 3",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.05, bodu=11, $$\frac{-8}{-2} \cdot 10=\textcolor{white}{40}$$return {
["body"] = 11,
["id"] = "x3YFIf_1010_0915",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 1 },
["render"] = "\\frac{40}{1}",
["typ"] = "cislo" },
["tex"] = "40",
["tex_float"] = "40",
["x"] = 40 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-2} \\cdot 10",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.06, bodu=51, $$(\frac{9}{3} \cdot (5 + 4\frac{4}{6}))^2=\textcolor{white}{841}$$return {
["body"] = 51,
["id"] = "VvTCej_1010_0915",
["obtiznost"] = 0.5968,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 841,
["jmenovatel"] = 1 },
["render"] = "\\frac{841}{1}",
["typ"] = "cislo" },
["tex"] = "841",
["tex_float"] = "841",
["x"] = 841 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.06",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{9}{3}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "5 + 4\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(5 + 4\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{3} \\cdot (5 + 4\\frac{4}{6})",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{3} \\cdot (5 + 4\\frac{4}{6}))^2",
["typ"] = "mocnina" } }
seed: Q4nywYL9OPgywkil6E8a_0.07, bodu=11, $$7 + 3 + \frac{-10}{3}=\textcolor{white}{6\frac{2}{3}}$$return {
["body"] = 11,
["id"] = "chYIXF_1010_0915",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 6.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 3 },
["render"] = "\\frac{20}{3}",
["typ"] = "cislo" },
["tex"] = "6\\frac{2}{3}",
["x"] = 6,
["y"] = 2,
["z"] = 3 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{3}",
["typ"] = "lomeno" },
["render"] = "7 + 3 + \\frac{-10}{3}",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.08, bodu=12, $$6 \cdot \frac{5}{8}=\textcolor{white}{3{,}75}$$return {
["body"] = 12,
["id"] = "4tEKKT_1010_0915",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 3.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "\\frac{30}{8}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{4}",
["tex_float"] = "3{,}75",
["x"] = 3,
["y"] = 3,
["z"] = 4 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{5}{8}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{5}{8}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.09, bodu=6, $$6 - 5 \cdot -3 + 9=\textcolor{white}{30}$$return {
["body"] = 6,
["id"] = "3UuI47_1010_0915",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 1 },
["render"] = "\\frac{30}{1}",
["typ"] = "cislo" },
["tex"] = "30",
["x"] = 30 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "5 \\cdot -3",
["typ"] = "krat" },
["render"] = "6 - 5 \\cdot -3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 - 5 \\cdot -3 + 9",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.1, bodu=12, $$(8 + 6) \cdot \frac{7}{7}=\textcolor{white}{14}$$return {
["body"] = 12,
["id"] = "1G2Qda_1010_0915",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["tex_float"] = "14",
["x"] = 14 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.1",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 + 6",
["typ"] = "plus" },
["render"] = "(8 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7}",
["typ"] = "lomeno" },
["render"] = "(8 + 6) \\cdot \\frac{7}{7}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.11, bodu=13, $$\frac{11}{10 \cdot 7}=\textcolor{white}{\frac{11}{70}}$$return {
["body"] = 13,
["id"] = "LnCHYC_1010_0915",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = 0.15714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 70 },
["render"] = "\\frac{11}{70}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{70}",
["y"] = 11,
["z"] = 70 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["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"] = "\\frac{11}{10 \\cdot 7}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.12, bodu=6, $$8 \cdot -8 \cdot 6=\textcolor{white}{-384}$$return {
["body"] = 6,
["id"] = "AvNyhO_1010_0915",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -384,
["jmenovatel"] = 1 },
["render"] = "\\frac{-384}{1}",
["typ"] = "cislo" },
["tex"] = "-384",
["x"] = -384 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 6",
["typ"] = "krat" },
["render"] = "8 \\cdot -8 \\cdot 6",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.13, bodu=38, $$7 + 4\frac{1}{2} + (-11 + 4)^3 - 9=\textcolor{white}{-340{,}5}$$return {
["body"] = 38,
["id"] = "IpF3ZG_1010_0915",
["obtiznost"] = 0.4676,
["reseni"] = {
["float"] = -340.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -681,
["jmenovatel"] = 2 },
["render"] = "\\frac{-681}{2}",
["typ"] = "cislo" },
["tex"] = "-340\\frac{1}{2}",
["tex_float"] = "-340{,}5",
["x"] = -340,
["y"] = 1,
["z"] = 2 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{1}{2}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 + 4",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-11 + 4)^3",
["typ"] = "mocnina" },
["render"] = "7 + 4\\frac{1}{2} + (-11 + 4)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{1}{2} + (-11 + 4)^3 - 9",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.14, bodu=27, $$1\frac{5}{8} + 12 - 6 - 12=\textcolor{white}{-4{,}375}$$return {
["body"] = 27,
["id"] = "WlZwgY_1010_0915",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -4.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 8 },
["render"] = "\\frac{-35}{8}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{3}{8}",
["tex_float"] = "-4{,}375",
["x"] = -4,
["y"] = 3,
["z"] = 8 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 - 6",
["typ"] = "minus" },
["render"] = "1\\frac{5}{8} + 12 - 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + 12 - 6 - 12",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.15, bodu=28, $$\frac{7 \cdot 2\frac{2}{6}}{-11 + (-7)}=\textcolor{white}{-\frac{49}{54}}$$return {
["body"] = 28,
["id"] = "tKeJCj_1010_0915",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -0.90740740740741,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 54 },
["render"] = "\\frac{49}{-54}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{54}",
["y"] = -49,
["z"] = 54 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 2\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-11 + (-7)",
["typ"] = "plus" },
["render"] = "\\frac{7 \\cdot 2\\frac{2}{6}}{-11 + (-7)}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.16, bodu=15, $$\frac{7 - 8}{5} - 7=\textcolor{white}{-7{,}2}$$return {
["body"] = 15,
["id"] = "7dE7L2_1010_0915",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -7.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 5 },
["render"] = "\\frac{-36}{5}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{5}",
["tex_float"] = "-7{,}2",
["x"] = -7,
["y"] = 1,
["z"] = 5 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7 - 8}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7 - 8}{5} - 7",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.17, bodu=8, $$(-2 + (2 - 4)^4) \cdot 9=\textcolor{white}{126}$$return {
["body"] = 8,
["id"] = "YJSbf9_1010_0915",
["obtiznost"] = 0.1768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 126,
["jmenovatel"] = 1 },
["render"] = "\\frac{126}{1}",
["typ"] = "cislo" },
["tex"] = "126",
["x"] = 126 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.17",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2 - 4",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(2 - 4)^4",
["typ"] = "mocnina" },
["render"] = "-2 + (2 - 4)^4",
["typ"] = "plus" },
["render"] = "(-2 + (2 - 4)^4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-2 + (2 - 4)^4) \\cdot 9",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.18, bodu=16, $$\frac{6}{8 \cdot 8 + (-5)}=\textcolor{white}{\frac{6}{59}}$$return {
["body"] = 16,
["id"] = "2dgjNP_1010_0915",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 0.10169491525424,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 59 },
["render"] = "\\frac{6}{59}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{59}",
["y"] = 6,
["z"] = 59 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8 + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{6}{8 \\cdot 8 + (-5)}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.19, bodu=8, $$6 - (7 \cdot 6 - 7)=\textcolor{white}{-29}$$return {
["body"] = 8,
["id"] = "PGNXbR_1010_0915",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -29,
["jmenovatel"] = 1 },
["render"] = "\\frac{-29}{1}",
["typ"] = "cislo" },
["tex"] = "-29",
["tex_float"] = "-29",
["x"] = -29 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6 - 7",
["typ"] = "minus" },
["render"] = "(7 \\cdot 6 - 7)",
["typ"] = "zavorka" },
["render"] = "6 - (7 \\cdot 6 - 7)",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.2, bodu=9, $$10 + (-8 - (-8 + 7 - 9))^4=\textcolor{white}{26}$$return {
["body"] = 9,
["id"] = "dgN4Pl_1010_0915",
["obtiznost"] = 0.2068,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 1 },
["render"] = "\\frac{26}{1}",
["typ"] = "cislo" },
["tex"] = "26",
["tex_float"] = "26",
["x"] = 26 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 + 7 - 9",
["typ"] = "minus" },
["render"] = "(-8 + 7 - 9)",
["typ"] = "zavorka" },
["render"] = "-8 - (-8 + 7 - 9)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-8 - (-8 + 7 - 9))^4",
["typ"] = "mocnina" },
["render"] = "10 + (-8 - (-8 + 7 - 9))^4",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.21, bodu=33, $$7 \cdot 8 \cdot (3 + 2\frac{5}{8})=\textcolor{white}{315}$$return {
["body"] = 33,
["id"] = "KoPQUz_1010_0915",
["obtiznost"] = 0.41,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 315,
["jmenovatel"] = 1 },
["render"] = "\\frac{2520}{8}",
["typ"] = "cislo" },
["tex"] = "315",
["tex_float"] = "315",
["x"] = 315 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.21",
["zadani"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3 + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(3 + 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "7 \\cdot 8 \\cdot (3 + 2\\frac{5}{8})",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.22, bodu=9, $$(-3 + 11 \cdot 12) \cdot (3 - 12)=\textcolor{white}{-1161}$$return {
["body"] = 9,
["id"] = "u3RyvL_1010_0915",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1161,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1161}{1}",
["typ"] = "cislo" },
["tex"] = "-1161",
["x"] = -1161 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "11 \\cdot 12",
["typ"] = "krat" },
["render"] = "-3 + 11 \\cdot 12",
["typ"] = "plus" },
["render"] = "(-3 + 11 \\cdot 12)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3 - 12",
["typ"] = "minus" },
["render"] = "(3 - 12)",
["typ"] = "zavorka" },
["render"] = "(-3 + 11 \\cdot 12) \\cdot (3 - 12)",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.23, bodu=35, $$(12 + 12 + 7) \cdot (3\frac{1}{6} - 9)=\textcolor{white}{-180\frac{5}{6}}$$return {
["body"] = 35,
["id"] = "XYNNJs_1010_0915",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -180.83333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1085,
["jmenovatel"] = 6 },
["render"] = "\\frac{-1085}{6}",
["typ"] = "cislo" },
["tex"] = "-180\\frac{5}{6}",
["x"] = -180,
["y"] = 5,
["z"] = 6 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.23",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 + 12 + 7",
["typ"] = "plus" },
["render"] = "(12 + 12 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} - 9",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{6} - 9)",
["typ"] = "zavorka" },
["render"] = "(12 + 12 + 7) \\cdot (3\\frac{1}{6} - 9)",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.24, bodu=20, $$\frac{6}{7} \cdot (-9 + 8)=\textcolor{white}{-\frac{6}{7}}$$return {
["body"] = 20,
["id"] = "VlvYBm_1010_0915",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -0.85714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 7 },
["render"] = "\\frac{-6}{7}",
["typ"] = "cislo" },
["tex"] = "-\\frac{6}{7}",
["y"] = -6,
["z"] = 7 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.24",
["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"] = {
["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" },
["render"] = "\\frac{6}{7} \\cdot (-9 + 8)",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.25, bodu=57, $$(3\frac{2}{4} \cdot (-6 + (-7)) - 2) \cdot 4\frac{1}{5}=\textcolor{white}{-199{,}5}$$return {
["body"] = 57,
["id"] = "cM2U42_1010_0915",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = -199.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -399,
["jmenovatel"] = 2 },
["render"] = "\\frac{-1995}{10}",
["typ"] = "cislo" },
["tex"] = "-199\\frac{1}{2}",
["tex_float"] = "-199{,}5",
["x"] = -199,
["y"] = 1,
["z"] = 2 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.25",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["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"] = "3\\frac{2}{4} \\cdot (-6 + (-7))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{4} \\cdot (-6 + (-7)) - 2",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{4} \\cdot (-6 + (-7)) - 2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{4} \\cdot (-6 + (-7)) - 2) \\cdot 4\\frac{1}{5}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.26, bodu=21, $$9 + \frac{11}{10 - 7} + 9=\textcolor{white}{21\frac{2}{3}}$$return {
["body"] = 21,
["id"] = "ch90NE_1010_0915",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 21.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 3 },
["render"] = "\\frac{65}{3}",
["typ"] = "cislo" },
["tex"] = "21\\frac{2}{3}",
["x"] = 21,
["y"] = 2,
["z"] = 3 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 - 7",
["typ"] = "minus" },
["render"] = "\\frac{11}{10 - 7}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{11}{10 - 7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + \\frac{11}{10 - 7} + 9",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.27, bodu=22, $$\frac{\frac{-8}{-9}}{6 - (6 + 6)}=\textcolor{white}{-\frac{4}{27}}$$return {
["body"] = 22,
["id"] = "wcoicK_1010_0915",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -0.14814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 27 },
["render"] = "\\frac{8}{-54}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{27}",
["y"] = -4,
["z"] = 27 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.27",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["render"] = "(6 + 6)",
["typ"] = "zavorka" },
["render"] = "6 - (6 + 6)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-8}{-9}}{6 - (6 + 6)}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.28, bodu=25, $$\frac{8}{10 - (10 - 6)^3}=\textcolor{white}{-\frac{4}{27}}$$return {
["body"] = 25,
["id"] = "ppIF9K_1010_0915",
["obtiznost"] = 0.306,
["reseni"] = {
["float"] = -0.14814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 27 },
["render"] = "\\frac{8}{-54}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{27}",
["y"] = -4,
["z"] = 27 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 6)^3",
["typ"] = "mocnina" },
["render"] = "10 - (10 - 6)^3",
["typ"] = "minus" },
["render"] = "\\frac{8}{10 - (10 - 6)^3}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.29, bodu=12, $$4 + 8 \cdot 9 \cdot 7=\textcolor{white}{508}$$return {
["body"] = 12,
["id"] = "wTK3Gm_1010_0915",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 508,
["jmenovatel"] = 1 },
["render"] = "\\frac{508}{1}",
["typ"] = "cislo" },
["tex"] = "508",
["tex_float"] = "508",
["x"] = 508 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 9 \\cdot 7",
["typ"] = "krat" },
["render"] = "4 + 8 \\cdot 9 \\cdot 7",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.3, bodu=12, $$(-10 - 7 \cdot -9 + 13) \cdot 10=\textcolor{white}{660}$$return {
["body"] = 12,
["id"] = "YfhX1D_1010_0915",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 660,
["jmenovatel"] = 1 },
["render"] = "\\frac{660}{1}",
["typ"] = "cislo" },
["tex"] = "660",
["x"] = 660 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["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"] = "-10 - 7 \\cdot -9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 - 7 \\cdot -9 + 13",
["typ"] = "plus" },
["render"] = "(-10 - 7 \\cdot -9 + 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(-10 - 7 \\cdot -9 + 13) \\cdot 10",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.31, bodu=42, $$\frac{-4}{-10} \cdot \frac{2\frac{2}{7}}{6}=\textcolor{white}{\frac{16}{105}}$$return {
["body"] = 42,
["id"] = "O1do5g_1010_0915",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 0.15238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 105 },
["render"] = "\\frac{16}{105}",
["typ"] = "cislo" },
["tex"] = "\\frac{16}{105}",
["y"] = 16,
["z"] = 105 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{7}}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{-4}{-10} \\cdot \\frac{2\\frac{2}{7}}{6}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.32, bodu=43, $$2\frac{1}{5} + (5 - 8) \cdot (8 + 8)=\textcolor{white}{-45{,}8}$$return {
["body"] = 43,
["id"] = "11Xfwi_1010_0915",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -45.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -229,
["jmenovatel"] = 5 },
["render"] = "\\frac{-229}{5}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{4}{5}",
["tex_float"] = "-45{,}8",
["x"] = -45,
["y"] = 4,
["z"] = 5 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["render"] = "(5 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["render"] = "(8 + 8)",
["typ"] = "zavorka" },
["render"] = "(5 - 8) \\cdot (8 + 8)",
["typ"] = "krat" },
["render"] = "2\\frac{1}{5} + (5 - 8) \\cdot (8 + 8)",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.33, bodu=44, $$(8 - 4) \cdot (-11 + \frac{9}{4\frac{5}{7}})=\textcolor{white}{-36\frac{4}{11}}$$return {
["body"] = 44,
["id"] = "ihUVZ7_1010_0915",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -36.363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -400,
["jmenovatel"] = 11 },
["render"] = "\\frac{-400}{11}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{4}{11}",
["x"] = -36,
["y"] = 4,
["z"] = 11 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "8 - 4",
["typ"] = "minus" },
["render"] = "(8 - 4)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{9}{4\\frac{5}{7}}",
["typ"] = "plus" },
["render"] = "(-11 + \\frac{9}{4\\frac{5}{7}})",
["typ"] = "zavorka" },
["render"] = "(8 - 4) \\cdot (-11 + \\frac{9}{4\\frac{5}{7}})",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.34, bodu=52, $$\frac{(11 - (-15))^2 - 11 + 15}{-7}=\textcolor{white}{-97\frac{1}{7}}$$return {
["body"] = 52,
["id"] = "SDCcDd_1010_0915",
["obtiznost"] = 0.6108,
["reseni"] = {
["float"] = -97.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -680,
["jmenovatel"] = 7 },
["render"] = "\\frac{680}{-7}",
["typ"] = "cislo" },
["tex"] = "-97\\frac{1}{7}",
["x"] = -97,
["y"] = 1,
["z"] = 7 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - (-15))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(11 - (-15))^2 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(11 - (-15))^2 - 11 + 15",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(11 - (-15))^2 - 11 + 15}{-7}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.35, bodu=28, $$\frac{\frac{-14}{10 + 9}}{12}=\textcolor{white}{-\frac{7}{114}}$$return {
["body"] = 28,
["id"] = "TXQLCZ_1010_0915",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -0.06140350877193,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 114 },
["render"] = "\\frac{-14}{228}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{114}",
["y"] = -7,
["z"] = 114 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "\\frac{-14}{10 + 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-14}{10 + 9}}{12}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.36, bodu=47, $$\frac{10 - 9}{-8 \cdot 3\frac{3}{7}}=\textcolor{white}{-\frac{7}{192}}$$return {
["body"] = 47,
["id"] = "08Hd4Y_1010_0915",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -0.036458333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 192 },
["render"] = "\\frac{7}{-192}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{192}",
["y"] = -7,
["z"] = 192 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 3\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "\\frac{10 - 9}{-8 \\cdot 3\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.37, bodu=70, $$\frac{1\frac{2}{8} - (-12)}{4\frac{4}{9} - (-8)}=\textcolor{white}{1\frac{29}{448}}$$return {
["body"] = 70,
["id"] = "2H7Eoi_1010_0915",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 1.0647321428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 477,
["jmenovatel"] = 448 },
["render"] = "\\frac{477}{448}",
["typ"] = "cislo" },
["tex"] = "1\\frac{29}{448}",
["x"] = 1,
["y"] = 29,
["z"] = 448 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - (-8)",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{2}{8} - (-12)}{4\\frac{4}{9} - (-8)}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.38, bodu=49, $$\frac{\frac{4\frac{4}{6}}{8} + (-8)}{-4}=\textcolor{white}{1\frac{41}{48}}$$return {
["body"] = 49,
["id"] = "fEQHiP_1010_0915",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = 1.8541666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 89,
["jmenovatel"] = 48 },
["render"] = "\\frac{-89}{-48}",
["typ"] = "cislo" },
["tex"] = "1\\frac{41}{48}",
["x"] = 1,
["y"] = 41,
["z"] = 48 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{6}}{8} + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{4}{6}}{8} + (-8)}{-4}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.39, bodu=64, $$(\frac{13 - 4\frac{4}{8}}{14} \cdot -7)^2=\textcolor{white}{18\frac{1}{16}}$$return {
["body"] = 64,
["id"] = "X7klbR_1010_0915",
["obtiznost"] = 0.712,
["reseni"] = {
["float"] = 18.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 289,
["jmenovatel"] = 16 },
["render"] = "\\frac{289}{16}",
["typ"] = "cislo" },
["tex"] = "18\\frac{1}{16}",
["x"] = 18,
["y"] = 1,
["z"] = 16 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.39",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "13 - 4\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{13 - 4\\frac{4}{8}}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{13 - 4\\frac{4}{8}}{14} \\cdot -7",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{13 - 4\\frac{4}{8}}{14} \\cdot -7)^2",
["typ"] = "mocnina" } }
seed: Q4nywYL9OPgywkil6E8a_0.4, bodu=85, $$\frac{2\frac{3}{6}}{13} - ((\frac{1\frac{1}{3}}{10})^2 + (-8))=\textcolor{white}{8\frac{1021}{5850}}$$return {
["body"] = 85,
["id"] = "L0ScJm_1010_0915",
["obtiznost"] = 0.8916,
["reseni"] = {
["float"] = 8.1745299145299,
["objekt"] = {
["hodnota"] = {
["citatel"] = 47821,
["jmenovatel"] = 5850 },
["render"] = "\\frac{47821}{5850}",
["typ"] = "cislo" },
["tex"] = "8\\frac{1021}{5850}",
["x"] = 8,
["y"] = 1021,
["z"] = 5850 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{3}}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{1}{3}}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{1}{3}}{10})^2 + (-8)",
["typ"] = "plus" },
["render"] = "((\\frac{1\\frac{1}{3}}{10})^2 + (-8))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{3}{6}}{13} - ((\\frac{1\\frac{1}{3}}{10})^2 + (-8))",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.41, bodu=52, $$10 + (-14) - \frac{\frac{3}{1\frac{2}{7}}}{-8}=\textcolor{white}{-3\frac{17}{24}}$$return {
["body"] = 52,
["id"] = "llnkrB_1010_0915",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -3.7083333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -89,
["jmenovatel"] = 24 },
["render"] = "\\frac{-89}{24}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{17}{24}",
["x"] = -3,
["y"] = 17,
["z"] = 24 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "10 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3}{1\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3}{1\\frac{2}{7}}}{-8}",
["typ"] = "lomeno" },
["render"] = "10 + (-14) - \\frac{\\frac{3}{1\\frac{2}{7}}}{-8}",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.42, bodu=34, $$\frac{9}{\frac{11}{-12} \cdot -13}=\textcolor{white}{\frac{108}{143}}$$return {
["body"] = 34,
["id"] = "0dOi2l_1010_0915",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 0.75524475524476,
["objekt"] = {
["hodnota"] = {
["citatel"] = 108,
["jmenovatel"] = 143 },
["render"] = "\\frac{108}{143}",
["typ"] = "cislo" },
["tex"] = "\\frac{108}{143}",
["y"] = 108,
["z"] = 143 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["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"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-12} \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{9}{\\frac{11}{-12} \\cdot -13}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.43, bodu=55, $$-8 - 7 \cdot (13 + (-11))^2 - (11 + 2\frac{3}{8})=\textcolor{white}{-49{,}375}$$return {
["body"] = 55,
["id"] = "RlBwgb_1010_0915",
["obtiznost"] = 0.632,
["reseni"] = {
["float"] = -49.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -395,
["jmenovatel"] = 8 },
["render"] = "\\frac{-395}{8}",
["typ"] = "cislo" },
["tex"] = "-49\\frac{3}{8}",
["tex_float"] = "-49{,}375",
["x"] = -49,
["y"] = 3,
["z"] = 8 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "13 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + (-11))^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (13 + (-11))^2",
["typ"] = "krat" },
["render"] = "-8 - 7 \\cdot (13 + (-11))^2",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(11 + 2\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "-8 - 7 \\cdot (13 + (-11))^2 - (11 + 2\\frac{3}{8})",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.44, bodu=36, $$(-8 - (12 + (-14))^3)^4 - \frac{-13}{-5}=\textcolor{white}{-2{,}6}$$return {
["body"] = 36,
["id"] = "roHGUX_1010_0915",
["obtiznost"] = 0.444,
["reseni"] = {
["float"] = -2.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 5 },
["render"] = "\\frac{-13}{5}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{3}{5}",
["tex_float"] = "-2{,}6",
["x"] = -2,
["y"] = 3,
["z"] = 5 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.44",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "12 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(12 + (-14))^3",
["typ"] = "mocnina" },
["render"] = "-8 - (12 + (-14))^3",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-8 - (12 + (-14))^3)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-5}",
["typ"] = "lomeno" },
["render"] = "(-8 - (12 + (-14))^3)^4 - \\frac{-13}{-5}",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.45, bodu=37, $$9 - \frac{-10}{8} + \frac{12}{-12}=\textcolor{white}{9{,}25}$$return {
["body"] = 37,
["id"] = "etASaF_1010_0915",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 9.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 4 },
["render"] = "\\frac{37}{4}",
["typ"] = "cislo" },
["tex"] = "9\\frac{1}{4}",
["tex_float"] = "9{,}25",
["x"] = 9,
["y"] = 1,
["z"] = 4 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{8}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{-10}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-12}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{-10}{8} + \\frac{12}{-12}",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.46, bodu=58, $$\frac{2\frac{2}{6}}{9 \cdot 12 \cdot 4}=\textcolor{white}{\frac{7}{1296}}$$return {
["body"] = 58,
["id"] = "4XsfxF_1010_0915",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 0.0054012345679012,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1296 },
["render"] = "\\frac{7}{1296}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{1296}",
["y"] = 7,
["z"] = 1296 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 \\cdot 12 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{6}}{9 \\cdot 12 \\cdot 4}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.47, bodu=65, $$(10 - (-15))^2 - 5 + \frac{-10}{-13}=\textcolor{white}{620\frac{10}{13}}$$return {
["body"] = 65,
["id"] = "CKfHYM_1010_0915",
["obtiznost"] = 0.7204,
["reseni"] = {
["float"] = 620.76923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8070,
["jmenovatel"] = 13 },
["render"] = "\\frac{8070}{13}",
["typ"] = "cislo" },
["tex"] = "620\\frac{10}{13}",
["x"] = 620,
["y"] = 10,
["z"] = 13 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "10 - (-15)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - (-15))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(10 - (-15))^2 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-13}",
["typ"] = "lomeno" },
["render"] = "(10 - (-15))^2 - 5 + \\frac{-10}{-13}",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.48, bodu=39, $$\frac{8}{10 \cdot 8 \cdot -6 + 18}=\textcolor{white}{-\frac{4}{231}}$$return {
["body"] = 39,
["id"] = "13j62K_1010_0915",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -0.017316017316017,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 231 },
["render"] = "\\frac{8}{-462}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{231}",
["y"] = -4,
["z"] = 231 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 \\cdot -6",
["typ"] = "krat" },
["render"] = "10 \\cdot 8 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8 \\cdot -6 + 18",
["typ"] = "plus" },
["render"] = "\\frac{8}{10 \\cdot 8 \\cdot -6 + 18}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.49, bodu=64, $$\frac{8}{(10 - 2\frac{1}{5} + (-9))^2 \cdot -12}=\textcolor{white}{-\frac{25}{54}}$$return {
["body"] = 64,
["id"] = "d6N0kz_1010_0915",
["obtiznost"] = 0.7144,
["reseni"] = {
["float"] = -0.46296296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 54 },
["render"] = "\\frac{200}{-432}",
["typ"] = "cislo" },
["tex"] = "-\\frac{25}{54}",
["y"] = -25,
["z"] = 54 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 - 2\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 - 2\\frac{1}{5} + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 - 2\\frac{1}{5} + (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(10 - 2\\frac{1}{5} + (-9))^2 \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{8}{(10 - 2\\frac{1}{5} + (-9))^2 \\cdot -12}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.5, bodu=62, $$\frac{10}{-15 - 2\frac{2}{6}} \cdot \frac{7}{15}=\textcolor{white}{-\frac{7}{26}}$$return {
["body"] = 62,
["id"] = "g6KtV3_1010_0915",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -0.26923076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 26 },
["render"] = "\\frac{-105}{390}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{26}",
["y"] = -7,
["z"] = 26 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["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"] = "\\frac{10}{-15 - 2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{7}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{-15 - 2\\frac{2}{6}} \\cdot \\frac{7}{15}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.51, bodu=21, $$-12 \cdot 12 \cdot -8 \cdot -9=\textcolor{white}{-10368}$$return {
["body"] = 21,
["id"] = "TYdm0C_1010_0915",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -10368,
["jmenovatel"] = 1 },
["render"] = "\\frac{-10368}{1}",
["typ"] = "cislo" },
["tex"] = "-10368",
["x"] = -10368 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -9",
["typ"] = "krat" },
["render"] = "-12 \\cdot 12 \\cdot -8 \\cdot -9",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.52, bodu=64, $$4\frac{4}{7} \cdot (-13 + (-10) + 15) - (-6 - 14)=\textcolor{white}{-16\frac{4}{7}}$$return {
["body"] = 64,
["id"] = "IRDsJt_1010_0915",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -16.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -116,
["jmenovatel"] = 7 },
["render"] = "\\frac{-116}{7}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{4}{7}",
["x"] = -16,
["y"] = 4,
["z"] = 7 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-13 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-13 + (-10) + 15",
["typ"] = "plus" },
["render"] = "(-13 + (-10) + 15)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{7} \\cdot (-13 + (-10) + 15)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-6 - 14",
["typ"] = "minus" },
["render"] = "(-6 - 14)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{7} \\cdot (-13 + (-10) + 15) - (-6 - 14)",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.53, bodu=90, $$\frac{-16}{-8 + 10 \cdot 2\frac{3}{5} + 1\frac{4}{7}}=\textcolor{white}{-\frac{112}{137}}$$return {
["body"] = 90,
["id"] = "1zxNSN_1010_0915",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -0.81751824817518,
["objekt"] = {
["hodnota"] = {
["citatel"] = -112,
["jmenovatel"] = 137 },
["render"] = "\\frac{-112}{137}",
["typ"] = "cislo" },
["tex"] = "-\\frac{112}{137}",
["y"] = -112,
["z"] = 137 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 2\\frac{3}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 2\\frac{3}{5} + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "-8 + 10 \\cdot 2\\frac{3}{5} + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-16}{-8 + 10 \\cdot 2\\frac{3}{5} + 1\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.54, bodu=92, $$12 \cdot 2\frac{3}{7} \cdot 10 \cdot 4\frac{1}{8}=\textcolor{white}{1202\frac{1}{7}}$$return {
["body"] = 92,
["id"] = "g8I1XD_1010_0915",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 1202.1428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8415,
["jmenovatel"] = 7 },
["render"] = "\\frac{67320}{56}",
["typ"] = "cislo" },
["tex"] = "1202\\frac{1}{7}",
["x"] = 1202,
["y"] = 1,
["z"] = 7 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} \\cdot 10",
["typ"] = "krat" },
["render"] = "12 \\cdot 2\\frac{3}{7} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{3}{7} \\cdot 10 \\cdot 4\\frac{1}{8}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.55, bodu=68, $$\frac{-13}{-9} \cdot -4 - (4\frac{1}{7} - 2)=\textcolor{white}{-7\frac{58}{63}}$$return {
["body"] = 68,
["id"] = "EgndHP_1010_0915",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -7.9206349206349,
["objekt"] = {
["hodnota"] = {
["citatel"] = -499,
["jmenovatel"] = 63 },
["render"] = "\\frac{-499}{63}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{58}{63}",
["x"] = -7,
["y"] = 58,
["z"] = 63 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-9} \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} - 2",
["typ"] = "minus" },
["render"] = "(4\\frac{1}{7} - 2)",
["typ"] = "zavorka" },
["render"] = "\\frac{-13}{-9} \\cdot -4 - (4\\frac{1}{7} - 2)",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.56, bodu=152, $$4\frac{5}{9} + (2\frac{2}{6} + 1\frac{2}{6}) \cdot -12 + (-12 - 3\frac{1}{8})=\textcolor{white}{-54\frac{41}{72}}$$return {
["body"] = 152,
["id"] = "BwXugf_1010_0915",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -54.569444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3929,
["jmenovatel"] = 72 },
["render"] = "\\frac{-3929}{72}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{41}{72}",
["x"] = -54,
["y"] = 41,
["z"] = 72 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} + 1\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{6} + 1\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{6} + 1\\frac{2}{6}) \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{6} + 1\\frac{2}{6}) \\cdot -12 + (-12 - 3\\frac{1}{8})",
["typ"] = "plus" },
["render"] = "4\\frac{5}{9} + (2\\frac{2}{6} + 1\\frac{2}{6}) \\cdot -12 + (-12 - 3\\frac{1}{8})",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.57, bodu=70, $$\frac{-8}{-13 \cdot \frac{2\frac{4}{9} - 10}{-5}}=\textcolor{white}{\frac{90}{221}}$$return {
["body"] = 70,
["id"] = "iMXxM7_1010_0915",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 0.40723981900452,
["objekt"] = {
["hodnota"] = {
["citatel"] = 90,
["jmenovatel"] = 221 },
["render"] = "\\frac{-360}{-884}",
["typ"] = "cislo" },
["tex"] = "\\frac{90}{221}",
["y"] = 90,
["z"] = 221 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9} - 10}{-5}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot \\frac{2\\frac{4}{9} - 10}{-5}",
["typ"] = "krat" },
["render"] = "\\frac{-8}{-13 \\cdot \\frac{2\\frac{4}{9} - 10}{-5}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.58, bodu=97, $$\frac{12 + 2\frac{5}{9}}{-16 - (10 - 3\frac{2}{4})}=\textcolor{white}{-\frac{262}{405}}$$return {
["body"] = 97,
["id"] = "o5lVYK_1010_0915",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -0.64691358024691,
["objekt"] = {
["hodnota"] = {
["citatel"] = -262,
["jmenovatel"] = 405 },
["render"] = "\\frac{262}{-405}",
["typ"] = "cislo" },
["tex"] = "-\\frac{262}{405}",
["y"] = -262,
["z"] = 405 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "12 + 2\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "10 - 3\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(10 - 3\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "-16 - (10 - 3\\frac{2}{4})",
["typ"] = "minus" },
["render"] = "\\frac{12 + 2\\frac{5}{9}}{-16 - (10 - 3\\frac{2}{4})}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.59, bodu=98, $$\frac{15}{4\frac{5}{11}} \cdot -5 \cdot (3 - 2\frac{5}{11})=\textcolor{white}{-9\frac{9}{49}}$$return {
["body"] = 98,
["id"] = "yBJYbT_1010_0915",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -9.1836734693878,
["objekt"] = {
["hodnota"] = {
["citatel"] = -450,
["jmenovatel"] = 49 },
["render"] = "\\frac{-4950}{539}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{9}{49}",
["x"] = -9,
["y"] = 9,
["z"] = 49 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{5}{11}} \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3 - 2\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(3 - 2\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{15}{4\\frac{5}{11}} \\cdot -5 \\cdot (3 - 2\\frac{5}{11})",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.6, bodu=51, $$5 + \frac{12}{11} - 13 - (-10) + 10=\textcolor{white}{13\frac{1}{11}}$$return {
["body"] = 51,
["id"] = "9QIRTP_1010_0915",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 13.090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 11 },
["render"] = "\\frac{144}{11}",
["typ"] = "cislo" },
["tex"] = "13\\frac{1}{11}",
["x"] = 13,
["y"] = 1,
["z"] = 11 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["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"] = "5 + \\frac{12}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "5 + \\frac{12}{11} - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 + \\frac{12}{11} - 13 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 + \\frac{12}{11} - 13 - (-10) + 10",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.61, bodu=129, $$\frac{3\frac{1}{5} + 4\frac{3}{6}}{\frac{-13 \cdot -10}{4\frac{1}{6}}}=\textcolor{white}{\frac{77}{312}}$$return {
["body"] = 129,
["id"] = "zBMCnD_1010_0915",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 0.24679487179487,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 312 },
["render"] = "\\frac{385}{1560}",
["typ"] = "cislo" },
["tex"] = "\\frac{77}{312}",
["y"] = 77,
["z"] = 312 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} + 4\\frac{3}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 \\cdot -10}{4\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{5} + 4\\frac{3}{6}}{\\frac{-13 \\cdot -10}{4\\frac{1}{6}}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.62, bodu=38, $$10 - (17 + (8 - 16)^3 - (12 + (-12 + (-11))))=\textcolor{white}{494}$$return {
["body"] = 38,
["id"] = "E0Vfw2_1010_0915",
["obtiznost"] = 0.8252,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 494,
["jmenovatel"] = 1 },
["render"] = "\\frac{494}{1}",
["typ"] = "cislo" },
["tex"] = "494",
["x"] = 494 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "8 - 16",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(8 - 16)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-12 + (-11)",
["typ"] = "plus" },
["render"] = "12 + (-12 + (-11))",
["typ"] = "plus" },
["render"] = "(12 + (-12 + (-11)))",
["typ"] = "zavorka" },
["render"] = "(8 - 16)^3 - (12 + (-12 + (-11)))",
["typ"] = "minus" },
["render"] = "17 + (8 - 16)^3 - (12 + (-12 + (-11)))",
["typ"] = "plus" },
["render"] = "(17 + (8 - 16)^3 - (12 + (-12 + (-11))))",
["typ"] = "zavorka" },
["render"] = "10 - (17 + (8 - 16)^3 - (12 + (-12 + (-11))))",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.63, bodu=104, $$4\frac{5}{9} + \frac{\frac{4\frac{3}{11}}{-7}}{\frac{-15}{19}}=\textcolor{white}{5\frac{1139}{3465}}$$return {
["body"] = 104,
["id"] = "JrzDeL_1010_0915",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 5.3287157287157,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18464,
["jmenovatel"] = 3465 },
["render"] = "\\frac{55392}{10395}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1139}{3465}",
["x"] = 5,
["y"] = 1139,
["z"] = 3465 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{11}}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{19}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{4\\frac{3}{11}}{-7}}{\\frac{-15}{19}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{9} + \\frac{\\frac{4\\frac{3}{11}}{-7}}{\\frac{-15}{19}}",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.64, bodu=60, $$9 \cdot 8 + (\frac{8 \cdot 5}{12})^2=\textcolor{white}{83\frac{1}{9}}$$return {
["body"] = 60,
["id"] = "gqa6y7_1010_0915",
["obtiznost"] = 0.6836,
["reseni"] = {
["float"] = 83.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 748,
["jmenovatel"] = 9 },
["render"] = "\\frac{748}{9}",
["typ"] = "cislo" },
["tex"] = "83\\frac{1}{9}",
["x"] = 83,
["y"] = 1,
["z"] = 9 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 5}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8 \\cdot 5}{12})^2",
["typ"] = "mocnina" },
["render"] = "9 \\cdot 8 + (\\frac{8 \\cdot 5}{12})^2",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.65, bodu=167, $$(4\frac{2}{7} - (15 - 4\frac{3}{4})) \cdot (4\frac{2}{6} + 10 - 2\frac{5}{11})=\textcolor{white}{-70\frac{28}{33}}$$return {
["body"] = 167,
["id"] = "4jwWqC_1010_0915",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -70.848484848485,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2338,
["jmenovatel"] = 33 },
["render"] = "\\frac{-65464}{924}",
["typ"] = "cislo" },
["tex"] = "-70\\frac{28}{33}",
["x"] = -70,
["y"] = 28,
["z"] = 33 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "15 - 4\\frac{3}{4}",
["typ"] = "minus" },
["render"] = "(15 - 4\\frac{3}{4})",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{7} - (15 - 4\\frac{3}{4})",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{7} - (15 - 4\\frac{3}{4}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "10 - 2\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "4\\frac{2}{6} + 10 - 2\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{6} + 10 - 2\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{2}{7} - (15 - 4\\frac{3}{4})) \\cdot (4\\frac{2}{6} + 10 - 2\\frac{5}{11})",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.66, bodu=122, $$1\frac{5}{12} - 3\frac{3}{8} - (9 \cdot (-11 + 15)^4 + (-16))=\textcolor{white}{-2289\frac{23}{24}}$$return {
["body"] = 122,
["id"] = "z97Vh2_1010_0915",
["obtiznost"] = 1.1628,
["reseni"] = {
["float"] = -2289.9583333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -54959,
["jmenovatel"] = 24 },
["render"] = "\\frac{-54959}{24}",
["typ"] = "cislo" },
["tex"] = "-2289\\frac{23}{24}",
["x"] = -2289,
["y"] = 23,
["z"] = 24 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 3\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-11 + 15",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-11 + 15)^4",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (-11 + 15)^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "9 \\cdot (-11 + 15)^4 + (-16)",
["typ"] = "plus" },
["render"] = "(9 \\cdot (-11 + 15)^4 + (-16))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{12} - 3\\frac{3}{8} - (9 \\cdot (-11 + 15)^4 + (-16))",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.67, bodu=109, $$\frac{-10 \cdot -11 + \frac{11}{4\frac{1}{5}}}{4\frac{4}{6}}=\textcolor{white}{24\frac{13}{98}}$$return {
["body"] = 109,
["id"] = "4XrCxt_1010_0915",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 24.132653061224,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2365,
["jmenovatel"] = 98 },
["render"] = "\\frac{7095}{294}",
["typ"] = "cislo" },
["tex"] = "24\\frac{13}{98}",
["x"] = 24,
["y"] = 13,
["z"] = 98 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "-10 \\cdot -11 + \\frac{11}{4\\frac{1}{5}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot -11 + \\frac{11}{4\\frac{1}{5}}}{4\\frac{4}{6}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.68, bodu=84, $$-7 \cdot 4\frac{5}{8} + (-11) - (\frac{-11}{5} - 15)=\textcolor{white}{-26{,}175}$$return {
["body"] = 84,
["id"] = "PQ7jKN_1010_0915",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -26.175,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1047,
["jmenovatel"] = 40 },
["render"] = "\\frac{-1047}{40}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{7}{40}",
["tex_float"] = "-26{,}175",
["x"] = -26,
["y"] = 7,
["z"] = 40 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 4\\frac{5}{8} + (-11)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{5} - 15",
["typ"] = "minus" },
["render"] = "(\\frac{-11}{5} - 15)",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot 4\\frac{5}{8} + (-11) - (\\frac{-11}{5} - 15)",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.69, bodu=159, $$(4\frac{2}{5} + 12 - (-18 - 10)^2) \cdot 1\frac{5}{9} \cdot -6=\textcolor{white}{7164\frac{4}{15}}$$return {
["body"] = 159,
["id"] = "0LBiWc_1010_0915",
["obtiznost"] = 1.404,
["reseni"] = {
["float"] = 7164.2666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 107464,
["jmenovatel"] = 15 },
["render"] = "\\frac{322392}{45}",
["typ"] = "cislo" },
["tex"] = "7164\\frac{4}{15}",
["x"] = 7164,
["y"] = 4,
["z"] = 15 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 12",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-18 - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-18 - 10)^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{2}{5} + 12 - (-18 - 10)^2",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{5} + 12 - (-18 - 10)^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{5} + 12 - (-18 - 10)^2) \\cdot 1\\frac{5}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{5} + 12 - (-18 - 10)^2) \\cdot 1\\frac{5}{9} \\cdot -6",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.7, bodu=88, $$\frac{(-10 - (-13))^3 - 2\frac{4}{12} - (-11)}{\frac{-14}{11}}=\textcolor{white}{-28\frac{1}{42}}$$return {
["body"] = 88,
["id"] = "GB18vA_1010_0915",
["obtiznost"] = 0.9112,
["reseni"] = {
["float"] = -28.02380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1177,
["jmenovatel"] = 42 },
["render"] = "\\frac{1177}{-42}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{1}{42}",
["x"] = -28,
["y"] = 1,
["z"] = 42 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-10 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-10 - (-13))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "(-10 - (-13))^3 - 2\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(-10 - (-13))^3 - 2\\frac{4}{12} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-10 - (-13))^3 - 2\\frac{4}{12} - (-11)}{\\frac{-14}{11}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.71, bodu=144, $$\frac{17}{1\frac{2}{8} \cdot 4\frac{4}{9}} - \frac{-4}{3\frac{3}{12}}=\textcolor{white}{4\frac{189}{650}}$$return {
["body"] = 144,
["id"] = "pdwhuU_1010_0915",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 4.2907692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2789,
["jmenovatel"] = 650 },
["render"] = "\\frac{2789}{650}",
["typ"] = "cislo" },
["tex"] = "4\\frac{189}{650}",
["x"] = 4,
["y"] = 189,
["z"] = 650 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "\\frac{17}{1\\frac{2}{8} \\cdot 4\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{3\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{17}{1\\frac{2}{8} \\cdot 4\\frac{4}{9}} - \\frac{-4}{3\\frac{3}{12}}",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.72, bodu=104, $$4\frac{1}{8} - \frac{-10}{-17} + 14 - (\frac{-16}{-5})^2=\textcolor{white}{7\frac{1009}{3400}}$$return {
["body"] = 104,
["id"] = "PrRJja_1010_0915",
["obtiznost"] = 1.0324,
["reseni"] = {
["float"] = 7.2967647058824,
["objekt"] = {
["hodnota"] = {
["citatel"] = 24809,
["jmenovatel"] = 3400 },
["render"] = "\\frac{24809}{3400}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1009}{3400}",
["x"] = 7,
["y"] = 1009,
["z"] = 3400 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-17}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{8} - \\frac{-10}{-17}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} - \\frac{-10}{-17} + 14",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-16}{-5})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{1}{8} - \\frac{-10}{-17} + 14 - (\\frac{-16}{-5})^2",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.73, bodu=173, $$((\frac{\frac{3\frac{1}{2}}{3\frac{2}{4}}}{-4})^2 \cdot -11)^2 \cdot 1\frac{3}{8}=\textcolor{white}{\frac{1331}{2048}}$$return {
["body"] = 173,
["id"] = "3sxvWn_1010_0915",
["obtiznost"] = 1.4876,
["reseni"] = {
["float"] = 0.64990234375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1331,
["jmenovatel"] = 2048 },
["render"] = "\\frac{1331}{2048}",
["typ"] = "cislo" },
["tex"] = "\\frac{1331}{2048}",
["y"] = 1331,
["z"] = 2048 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.73",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{2}}{3\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{1}{2}}{3\\frac{2}{4}}}{-4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{3\\frac{1}{2}}{3\\frac{2}{4}}}{-4})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(\\frac{\\frac{3\\frac{1}{2}}{3\\frac{2}{4}}}{-4})^2 \\cdot -11",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((\\frac{\\frac{3\\frac{1}{2}}{3\\frac{2}{4}}}{-4})^2 \\cdot -11)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "((\\frac{\\frac{3\\frac{1}{2}}{3\\frac{2}{4}}}{-4})^2 \\cdot -11)^2 \\cdot 1\\frac{3}{8}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.74, bodu=194, $$\frac{4\frac{1}{7} \cdot -21 \cdot 3\frac{3}{8}}{(\frac{2\frac{1}{10}}{2\frac{5}{8}})^3}=\textcolor{white}{-573\frac{249}{512}}$$return {
["body"] = 194,
["id"] = "34WGj0_1010_0915",
["obtiznost"] = 1.6156,
["reseni"] = {
["float"] = -573.486328125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -293625,
["jmenovatel"] = 512 },
["render"] = "\\frac{-293625}{512}",
["typ"] = "cislo" },
["tex"] = "-573\\frac{249}{512}",
["x"] = -573,
["y"] = 249,
["z"] = 512 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} \\cdot -21",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} \\cdot -21 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{10}}{2\\frac{5}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{2\\frac{1}{10}}{2\\frac{5}{8}})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{1}{7} \\cdot -21 \\cdot 3\\frac{3}{8}}{(\\frac{2\\frac{1}{10}}{2\\frac{5}{8}})^3}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.75, bodu=151, $$(1\frac{1}{2} - (-5 - \frac{1\frac{1}{9}}{4\frac{2}{8}})) \cdot -13=\textcolor{white}{-87\frac{275}{306}}$$return {
["body"] = 151,
["id"] = "CVGdAg_1010_0915",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -87.898692810458,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26897,
["jmenovatel"] = 306 },
["render"] = "\\frac{-26897}{306}",
["typ"] = "cislo" },
["tex"] = "-87\\frac{275}{306}",
["x"] = -87,
["y"] = 275,
["z"] = 306 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.75",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{9}}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "-5 - \\frac{1\\frac{1}{9}}{4\\frac{2}{8}}",
["typ"] = "minus" },
["render"] = "(-5 - \\frac{1\\frac{1}{9}}{4\\frac{2}{8}})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{2} - (-5 - \\frac{1\\frac{1}{9}}{4\\frac{2}{8}})",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{2} - (-5 - \\frac{1\\frac{1}{9}}{4\\frac{2}{8}}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{2} - (-5 - \\frac{1\\frac{1}{9}}{4\\frac{2}{8}})) \\cdot -13",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.76, bodu=99, $$-9 \cdot 3\frac{5}{13} \cdot \frac{-7}{(7 - 16)^2}=\textcolor{white}{2\frac{74}{117}}$$return {
["body"] = 99,
["id"] = "ITA5FC_1010_0915",
["obtiznost"] = 0.9928,
["reseni"] = {
["float"] = 2.6324786324786,
["objekt"] = {
["hodnota"] = {
["citatel"] = 308,
["jmenovatel"] = 117 },
["render"] = "\\frac{2772}{1053}",
["typ"] = "cislo" },
["tex"] = "2\\frac{74}{117}",
["x"] = 2,
["y"] = 74,
["z"] = 117 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 3\\frac{5}{13}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "7 - 16",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 16)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-7}{(7 - 16)^2}",
["typ"] = "lomeno" },
["render"] = "-9 \\cdot 3\\frac{5}{13} \\cdot \\frac{-7}{(7 - 16)^2}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.77, bodu=154, $$-3 - (-9) + 18 + 2\frac{3}{9} \cdot 1\frac{3}{5} \cdot 4\frac{4}{8}=\textcolor{white}{40{,}8}$$return {
["body"] = 154,
["id"] = "gKfGUn_1010_0915",
["obtiznost"] = 1.37,
["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"] = "Q4nywYL9OPgywkil6E8a_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-3 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-3 - (-9) + 18",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{9} \\cdot 1\\frac{3}{5} \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "-3 - (-9) + 18 + 2\\frac{3}{9} \\cdot 1\\frac{3}{5} \\cdot 4\\frac{4}{8}",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.78, bodu=188, $$\frac{2\frac{4}{12} + (-4 - 4\frac{5}{11})}{-12 + 16 \cdot 4\frac{5}{10} + 2\frac{4}{12}}=\textcolor{white}{-\frac{202}{2057}}$$return {
["body"] = 188,
["id"] = "Q41ltJ_1010_0915",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -0.098201263976665,
["objekt"] = {
["hodnota"] = {
["citatel"] = -202,
["jmenovatel"] = 2057 },
["render"] = "\\frac{-606}{6171}",
["typ"] = "cislo" },
["tex"] = "-\\frac{202}{2057}",
["y"] = -202,
["z"] = 2057 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-4 - 4\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "2\\frac{4}{12} + (-4 - 4\\frac{5}{11})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "16 \\cdot 4\\frac{5}{10} + 2\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "-12 + 16 \\cdot 4\\frac{5}{10} + 2\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{4}{12} + (-4 - 4\\frac{5}{11})}{-12 + 16 \\cdot 4\\frac{5}{10} + 2\\frac{4}{12}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.79, bodu=126, $$3\frac{5}{9} \cdot 11 \cdot \frac{-9}{4\frac{2}{10}} + (-9)=\textcolor{white}{-92\frac{17}{21}}$$return {
["body"] = 126,
["id"] = "5RpJ9g_1010_0915",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -92.809523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1949,
["jmenovatel"] = 21 },
["render"] = "\\frac{-1949}{21}",
["typ"] = "cislo" },
["tex"] = "-92\\frac{17}{21}",
["x"] = -92,
["y"] = 17,
["z"] = 21 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{-9}{4\\frac{2}{10}}",
["typ"] = "krat" },
["render"] = "3\\frac{5}{9} \\cdot 11 \\cdot \\frac{-9}{4\\frac{2}{10}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} \\cdot 11 \\cdot \\frac{-9}{4\\frac{2}{10}} + (-9)",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.8, bodu=192, $$-12 \cdot 2\frac{4}{13} - 8 \cdot 4\frac{3}{8} + 1\frac{4}{6} - 4\frac{5}{11}=\textcolor{white}{-65\frac{206}{429}}$$return {
["body"] = 192,
["id"] = "QHxQwM_1010_0915",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = -65.480186480186,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28091,
["jmenovatel"] = 429 },
["render"] = "\\frac{-28091}{429}",
["typ"] = "cislo" },
["tex"] = "-65\\frac{206}{429}",
["x"] = -65,
["y"] = 206,
["z"] = 429 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 2\\frac{4}{13}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "-12 \\cdot 2\\frac{4}{13} - 8 \\cdot 4\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} - 4\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "-12 \\cdot 2\\frac{4}{13} - 8 \\cdot 4\\frac{3}{8} + 1\\frac{4}{6} - 4\\frac{5}{11}",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.81, bodu=101, $$\frac{(15 - \frac{4\frac{1}{10}}{9}) \cdot (-22 - 12)}{20}=\textcolor{white}{-24\frac{653}{900}}$$return {
["body"] = 101,
["id"] = "bVTzgo_1010_0915",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -24.725555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22253,
["jmenovatel"] = 900 },
["render"] = "\\frac{-22253}{900}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{653}{900}",
["x"] = -24,
["y"] = 653,
["z"] = 900 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 10 },
["render"] = "4\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{10}}{9}",
["typ"] = "lomeno" },
["render"] = "15 - \\frac{4\\frac{1}{10}}{9}",
["typ"] = "minus" },
["render"] = "(15 - \\frac{4\\frac{1}{10}}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-22 - 12",
["typ"] = "minus" },
["render"] = "(-22 - 12)",
["typ"] = "zavorka" },
["render"] = "(15 - \\frac{4\\frac{1}{10}}{9}) \\cdot (-22 - 12)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{(15 - \\frac{4\\frac{1}{10}}{9}) \\cdot (-22 - 12)}{20}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.82, bodu=132, $$\frac{-15 \cdot (10 - 12)^4 + 16}{\frac{1\frac{2}{9}}{1\frac{1}{7}}}=\textcolor{white}{-209\frac{5}{11}}$$return {
["body"] = 132,
["id"] = "ROo7kr_1010_0915",
["obtiznost"] = 1.2268,
["reseni"] = {
["float"] = -209.45454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2304,
["jmenovatel"] = 11 },
["render"] = "\\frac{-16128}{77}",
["typ"] = "cislo" },
["tex"] = "-209\\frac{5}{11}",
["x"] = -209,
["y"] = 5,
["z"] = 11 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 - 12",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(10 - 12)^4",
["typ"] = "mocnina" },
["render"] = "-15 \\cdot (10 - 12)^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-15 \\cdot (10 - 12)^4 + 16",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{9}}{1\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-15 \\cdot (10 - 12)^4 + 16}{\\frac{1\\frac{2}{9}}{1\\frac{1}{7}}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.83, bodu=163, $$\frac{11 \cdot \frac{3\frac{4}{12}}{3\frac{2}{8}}}{-9 \cdot 8 - 4\frac{2}{6}}=\textcolor{white}{-\frac{440}{2977}}$$return {
["body"] = 163,
["id"] = "xLWx0M_1010_0915",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -0.14779979845482,
["objekt"] = {
["hodnota"] = {
["citatel"] = -440,
["jmenovatel"] = 2977 },
["render"] = "\\frac{1320}{-8931}",
["typ"] = "cislo" },
["tex"] = "-\\frac{440}{2977}",
["y"] = -440,
["z"] = 2977 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{12}}{3\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{3\\frac{4}{12}}{3\\frac{2}{8}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 8 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "\\frac{11 \\cdot \\frac{3\\frac{4}{12}}{3\\frac{2}{8}}}{-9 \\cdot 8 - 4\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.84, bodu=199, $$1\frac{3}{10} + 3\frac{5}{11} \cdot -16 + 13 - 3\frac{5}{11} + 7 \cdot 4\frac{1}{4}=\textcolor{white}{-14\frac{149}{220}}$$return {
["body"] = 199,
["id"] = "DlvZ9P_1010_0915",
["obtiznost"] = 1.64,
["reseni"] = {
["float"] = -14.677272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3229,
["jmenovatel"] = 220 },
["render"] = "\\frac{-71038}{4840}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{149}{220}",
["x"] = -14,
["y"] = 149,
["z"] = 220 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot -16",
["typ"] = "krat" },
["render"] = "1\\frac{3}{10} + 3\\frac{5}{11} \\cdot -16",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 4\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "13 - 3\\frac{5}{11} + 7 \\cdot 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "1\\frac{3}{10} + 3\\frac{5}{11} \\cdot -16 + 13 - 3\\frac{5}{11} + 7 \\cdot 4\\frac{1}{4}",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.85, bodu=135, $$\frac{-5 \cdot 2\frac{3}{10}}{\frac{-9}{\frac{1\frac{5}{10} + (-11)}{-11}}}=\textcolor{white}{1\frac{41}{396}}$$return {
["body"] = 135,
["id"] = "3IjSXP_1010_0915",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 1.1035353535354,
["objekt"] = {
["hodnota"] = {
["citatel"] = 437,
["jmenovatel"] = 396 },
["render"] = "\\frac{-437}{-396}",
["typ"] = "cislo" },
["tex"] = "1\\frac{41}{396}",
["x"] = 1,
["y"] = 41,
["z"] = 396 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 2\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10} + (-11)}{-11}",
["typ"] = "lomeno" },
["render"] = "\\frac{-9}{\\frac{1\\frac{5}{10} + (-11)}{-11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-5 \\cdot 2\\frac{3}{10}}{\\frac{-9}{\\frac{1\\frac{5}{10} + (-11)}{-11}}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.86, bodu=137, $$(2\frac{1}{6} - (-19)) \cdot (-13 \cdot 11 - \frac{-18}{1\frac{2}{5}})=\textcolor{white}{-2754\frac{29}{42}}$$return {
["body"] = 137,
["id"] = "L8fusz_1010_0915",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -2754.6904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -115697,
["jmenovatel"] = 42 },
["render"] = "\\frac{-115697}{42}",
["typ"] = "cislo" },
["tex"] = "-2754\\frac{29}{42}",
["x"] = -2754,
["y"] = 29,
["z"] = 42 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} - (-19)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{6} - (-19))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "-13 \\cdot 11 - \\frac{-18}{1\\frac{2}{5}}",
["typ"] = "minus" },
["render"] = "(-13 \\cdot 11 - \\frac{-18}{1\\frac{2}{5}})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{1}{6} - (-19)) \\cdot (-13 \\cdot 11 - \\frac{-18}{1\\frac{2}{5}})",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.87, bodu=143, $$(-11 - (-12 - 12)^2) \cdot 3\frac{2}{8} \cdot 5 \cdot -16=\textcolor{white}{152620}$$return {
["body"] = 143,
["id"] = "9C6zOF_1010_0915",
["obtiznost"] = 1.3008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 152620,
["jmenovatel"] = 1 },
["render"] = "\\frac{610480}{4}",
["typ"] = "cislo" },
["tex"] = "152620",
["x"] = 152620 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-12 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - 12)^2",
["typ"] = "mocnina" },
["render"] = "-11 - (-12 - 12)^2",
["typ"] = "minus" },
["render"] = "(-11 - (-12 - 12)^2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "(-11 - (-12 - 12)^2) \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "5 \\cdot -16",
["typ"] = "krat" },
["render"] = "(-11 - (-12 - 12)^2) \\cdot 3\\frac{2}{8} \\cdot 5 \\cdot -16",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.88, bodu=211, $$23 + (\frac{-4}{2\frac{2}{5}})^4 \cdot ((\frac{19}{-3})^2 + 2\frac{2}{12})=\textcolor{white}{349\frac{317}{1458}}$$return {
["body"] = 211,
["id"] = "XBAiJj_1010_0915",
["obtiznost"] = 1.7104,
["reseni"] = {
["float"] = 349.21742112483,
["objekt"] = {
["hodnota"] = {
["citatel"] = 509159,
["jmenovatel"] = 1458 },
["render"] = "\\frac{509159}{1458}",
["typ"] = "cislo" },
["tex"] = "349\\frac{317}{1458}",
["x"] = 349,
["y"] = 317,
["z"] = 1458 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{2\\frac{2}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-4}{2\\frac{2}{5}})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{19}{-3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{19}{-3})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{19}{-3})^2 + 2\\frac{2}{12}",
["typ"] = "plus" },
["render"] = "((\\frac{19}{-3})^2 + 2\\frac{2}{12})",
["typ"] = "zavorka" },
["render"] = "(\\frac{-4}{2\\frac{2}{5}})^4 \\cdot ((\\frac{19}{-3})^2 + 2\\frac{2}{12})",
["typ"] = "krat" },
["render"] = "23 + (\\frac{-4}{2\\frac{2}{5}})^4 \\cdot ((\\frac{19}{-3})^2 + 2\\frac{2}{12})",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.89, bodu=173, $$-9 - 3\frac{1}{10} \cdot 4\frac{5}{13} - \frac{3\frac{4}{8}}{-10} \cdot 13=\textcolor{white}{-18\frac{11}{260}}$$return {
["body"] = 173,
["id"] = "LqKgCj_1010_0915",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -18.042307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4691,
["jmenovatel"] = 260 },
["render"] = "\\frac{-46910}{2600}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{11}{260}",
["x"] = -18,
["y"] = 11,
["z"] = 260 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} \\cdot 4\\frac{5}{13}",
["typ"] = "krat" },
["render"] = "-9 - 3\\frac{1}{10} \\cdot 4\\frac{5}{13}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{-10} \\cdot 13",
["typ"] = "krat" },
["render"] = "-9 - 3\\frac{1}{10} \\cdot 4\\frac{5}{13} - \\frac{3\\frac{4}{8}}{-10} \\cdot 13",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.9, bodu=245, $$(4\frac{4}{11} - 3\frac{5}{9} + (11 + \frac{2\frac{3}{7}}{1\frac{1}{6}}) \cdot 2\frac{4}{9}) \cdot -17=\textcolor{white}{-557\frac{569}{1617}}$$return {
["body"] = 245,
["id"] = "FATSFB_1010_0915",
["obtiznost"] = 1.9,
["reseni"] = {
["float"] = -557.35188620903,
["objekt"] = {
["hodnota"] = {
["citatel"] = -901238,
["jmenovatel"] = 1617 },
["render"] = "\\frac{-901238}{1617}",
["typ"] = "cislo" },
["tex"] = "-557\\frac{569}{1617}",
["x"] = -557,
["y"] = 569,
["z"] = 1617 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} - 3\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{7}}{1\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{2\\frac{3}{7}}{1\\frac{1}{6}}",
["typ"] = "plus" },
["render"] = "(11 + \\frac{2\\frac{3}{7}}{1\\frac{1}{6}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(11 + \\frac{2\\frac{3}{7}}{1\\frac{1}{6}}) \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "4\\frac{4}{11} - 3\\frac{5}{9} + (11 + \\frac{2\\frac{3}{7}}{1\\frac{1}{6}}) \\cdot 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{11} - 3\\frac{5}{9} + (11 + \\frac{2\\frac{3}{7}}{1\\frac{1}{6}}) \\cdot 2\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{11} - 3\\frac{5}{9} + (11 + \\frac{2\\frac{3}{7}}{1\\frac{1}{6}}) \\cdot 2\\frac{4}{9}) \\cdot -17",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.91, bodu=211, $$\frac{(2\frac{5}{14} + 3\frac{2}{7}) \cdot 11 + 3\frac{2}{7}}{-12 \cdot 17 + 1\frac{2}{9}}=\textcolor{white}{-\frac{1647}{5110}}$$return {
["body"] = 211,
["id"] = "4YLlBT_1010_0915",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -0.32230919765166,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1647,
["jmenovatel"] = 5110 },
["render"] = "\\frac{8235}{-25550}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1647}{5110}",
["y"] = -1647,
["z"] = 5110 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{14} + 3\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{14} + 3\\frac{2}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{14} + 3\\frac{2}{7}) \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(2\\frac{5}{14} + 3\\frac{2}{7}) \\cdot 11 + 3\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 17 + 1\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "\\frac{(2\\frac{5}{14} + 3\\frac{2}{7}) \\cdot 11 + 3\\frac{2}{7}}{-12 \\cdot 17 + 1\\frac{2}{9}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.92, bodu=254, $$(\frac{16}{(1\frac{3}{11} \cdot 1\frac{3}{6})^2} - 4\frac{3}{11}) \cdot \frac{4\frac{3}{8}}{11}=\textcolor{white}{\frac{2845}{60984}}$$return {
["body"] = 254,
["id"] = "0KuSC6_1010_0915",
["obtiznost"] = 1.9448,
["reseni"] = {
["float"] = 0.04665158074249,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2845,
["jmenovatel"] = 60984 },
["render"] = "\\frac{19915}{426888}",
["typ"] = "cislo" },
["tex"] = "\\frac{2845}{60984}",
["y"] = 2845,
["z"] = 60984 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.92",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} \\cdot 1\\frac{3}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{11} \\cdot 1\\frac{3}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{16}{(1\\frac{3}{11} \\cdot 1\\frac{3}{6})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{(1\\frac{3}{11} \\cdot 1\\frac{3}{6})^2} - 4\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(\\frac{16}{(1\\frac{3}{11} \\cdot 1\\frac{3}{6})^2} - 4\\frac{3}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{8}}{11}",
["typ"] = "lomeno" },
["render"] = "(\\frac{16}{(1\\frac{3}{11} \\cdot 1\\frac{3}{6})^2} - 4\\frac{3}{11}) \\cdot \\frac{4\\frac{3}{8}}{11}",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.93, bodu=180, $$19 \cdot (13 - \frac{\frac{4\frac{3}{9}}{3\frac{1}{5}}}{-5} \cdot 1\frac{2}{9})=\textcolor{white}{253\frac{125}{432}}$$return {
["body"] = 180,
["id"] = "KulVRK_1010_0915",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 253.28935185185,
["objekt"] = {
["hodnota"] = {
["citatel"] = 109421,
["jmenovatel"] = 432 },
["render"] = "\\frac{109421}{432}",
["typ"] = "cislo" },
["tex"] = "253\\frac{125}{432}",
["x"] = 253,
["y"] = 125,
["z"] = 432 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{9}}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{3}{9}}{3\\frac{1}{5}}}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{3}{9}}{3\\frac{1}{5}}}{-5} \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "13 - \\frac{\\frac{4\\frac{3}{9}}{3\\frac{1}{5}}}{-5} \\cdot 1\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(13 - \\frac{\\frac{4\\frac{3}{9}}{3\\frac{1}{5}}}{-5} \\cdot 1\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "19 \\cdot (13 - \\frac{\\frac{4\\frac{3}{9}}{3\\frac{1}{5}}}{-5} \\cdot 1\\frac{2}{9})",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.94, bodu=181, $$\frac{\frac{20 \cdot 4\frac{4}{15}}{2\frac{5}{10}} + 4\frac{1}{3}}{\frac{21}{12}}=\textcolor{white}{21\frac{103}{105}}$$return {
["body"] = 181,
["id"] = "QPyrQr_1010_0915",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 21.980952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2308,
["jmenovatel"] = 105 },
["render"] = "\\frac{2308}{105}",
["typ"] = "cislo" },
["tex"] = "21\\frac{103}{105}",
["x"] = 21,
["y"] = 103,
["z"] = 105 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 15 },
["render"] = "4\\frac{4}{15}",
["typ"] = "cislo" },
["render"] = "20 \\cdot 4\\frac{4}{15}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{20 \\cdot 4\\frac{4}{15}}{2\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{20 \\cdot 4\\frac{4}{15}}{2\\frac{5}{10}} + 4\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{21}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{20 \\cdot 4\\frac{4}{15}}{2\\frac{5}{10}} + 4\\frac{1}{3}}{\\frac{21}{12}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.95, bodu=183, $$\frac{\frac{-22}{1\frac{4}{14}} \cdot (\frac{13}{3\frac{3}{8}} - (-14))}{1\frac{3}{7}}=\textcolor{white}{-213\frac{1003}{1215}}$$return {
["body"] = 183,
["id"] = "kzch5d_1010_0915",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -213.82551440329,
["objekt"] = {
["hodnota"] = {
["citatel"] = -259798,
["jmenovatel"] = 1215 },
["render"] = "\\frac{-519596}{2430}",
["typ"] = "cislo" },
["tex"] = "-213\\frac{1003}{1215}",
["x"] = -213,
["y"] = 1003,
["z"] = 1215 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{-22}{1\\frac{4}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{3\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{13}{3\\frac{3}{8}} - (-14)",
["typ"] = "minus" },
["render"] = "(\\frac{13}{3\\frac{3}{8}} - (-14))",
["typ"] = "zavorka" },
["render"] = "\\frac{-22}{1\\frac{4}{14}} \\cdot (\\frac{13}{3\\frac{3}{8}} - (-14))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-22}{1\\frac{4}{14}} \\cdot (\\frac{13}{3\\frac{3}{8}} - (-14))}{1\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: Q4nywYL9OPgywkil6E8a_0.96, bodu=122, $$\frac{19 - (-14 + (-18))}{1\frac{3}{10} \cdot 5} \cdot -17=\textcolor{white}{-133\frac{5}{13}}$$return {
["body"] = 122,
["id"] = "CI4ghu_1010_0915",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -133.38461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1734,
["jmenovatel"] = 13 },
["render"] = "\\frac{-1734}{13}",
["typ"] = "cislo" },
["tex"] = "-133\\frac{5}{13}",
["x"] = -133,
["y"] = 5,
["z"] = 13 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-14 + (-18)",
["typ"] = "plus" },
["render"] = "(-14 + (-18))",
["typ"] = "zavorka" },
["render"] = "19 - (-14 + (-18))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{19 - (-14 + (-18))}{1\\frac{3}{10} \\cdot 5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{19 - (-14 + (-18))}{1\\frac{3}{10} \\cdot 5} \\cdot -17",
["typ"] = "krat" } }
seed: Q4nywYL9OPgywkil6E8a_0.97, bodu=187, $$7 + \frac{\frac{4\frac{2}{4} \cdot 11}{14}}{3\frac{4}{5}} + 1\frac{2}{5}=\textcolor{white}{9\frac{879}{2660}}$$return {
["body"] = 187,
["id"] = "SFVJwg_1010_0915",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = 9.3304511278195,
["objekt"] = {
["hodnota"] = {
["citatel"] = 24819,
["jmenovatel"] = 2660 },
["render"] = "\\frac{24819}{2660}",
["typ"] = "cislo" },
["tex"] = "9\\frac{879}{2660}",
["x"] = 9,
["y"] = 879,
["z"] = 2660 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{4} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{4} \\cdot 11}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{4} \\cdot 11}{14}}{3\\frac{4}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{4} \\cdot 11}{14}}{3\\frac{4}{5}} + 1\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "7 + \\frac{\\frac{4\\frac{2}{4} \\cdot 11}{14}}{3\\frac{4}{5}} + 1\\frac{2}{5}",
["typ"] = "plus" } }
seed: Q4nywYL9OPgywkil6E8a_0.98, bodu=197, $$\frac{3\frac{1}{5}}{10 + \frac{-6 - 18}{4\frac{3}{8}}} - (-3 + 4\frac{2}{7})^2=\textcolor{white}{-\frac{3655}{3871}}$$return {
["body"] = 197,
["id"] = "Y2ryLr_1010_0915",
["obtiznost"] = 1.632,
["reseni"] = {
["float"] = -0.94420046499612,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3655,
["jmenovatel"] = 3871 },
["render"] = "\\frac{-3655}{3871}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3655}{3871}",
["y"] = -3655,
["z"] = 3871 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-6 - 18",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - 18}{4\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{-6 - 18}{4\\frac{3}{8}}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{1}{5}}{10 + \\frac{-6 - 18}{4\\frac{3}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-3 + 4\\frac{2}{7}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-3 + 4\\frac{2}{7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{1}{5}}{10 + \\frac{-6 - 18}{4\\frac{3}{8}}} - (-3 + 4\\frac{2}{7})^2",
["typ"] = "minus" } }
seed: Q4nywYL9OPgywkil6E8a_0.99, bodu=157, $$-18 \cdot (-15 \cdot 16 - 4\frac{3}{10}) + \frac{14}{4\frac{1}{9}}=\textcolor{white}{4400\frac{149}{185}}$$return {
["body"] = 157,
["id"] = "tA1zpi_1010_0915",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 4400.8054054054,
["objekt"] = {
["hodnota"] = {
["citatel"] = 814149,
["jmenovatel"] = 185 },
["render"] = "\\frac{814149}{185}",
["typ"] = "cislo" },
["tex"] = "4400\\frac{149}{185}",
["x"] = 4400,
["y"] = 149,
["z"] = 185 },
["seed"] = "Q4nywYL9OPgywkil6E8a_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 16 - 4\\frac{3}{10}",
["typ"] = "minus" },
["render"] = "(-15 \\cdot 16 - 4\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "-18 \\cdot (-15 \\cdot 16 - 4\\frac{3}{10})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{4\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "-18 \\cdot (-15 \\cdot 16 - 4\\frac{3}{10}) + \\frac{14}{4\\frac{1}{9}}",
["typ"] = "plus" } }
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