- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 62iSMkCNDv1kt9mJIeAn_0, bodu=27, $$6 - (5 - (\frac{9}{5})^3)=\textcolor{white}{6{,}832}$$return {
["body"] = 27,
["id"] = "P9mqgp_0410_1524",
["obtiznost"] = 0.3416,
["reseni"] = {
["float"] = 6.832,
["objekt"] = {
["hodnota"] = {
["citatel"] = 854,
["jmenovatel"] = 125 },
["render"] = "\\frac{854}{125}",
["typ"] = "cislo" },
["tex"] = "6\\frac{104}{125}",
["tex_float"] = "6{,}832",
["x"] = 6,
["y"] = 104,
["z"] = 125 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_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"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{5})^3",
["typ"] = "mocnina" },
["render"] = "5 - (\\frac{9}{5})^3",
["typ"] = "minus" },
["render"] = "(5 - (\\frac{9}{5})^3)",
["typ"] = "zavorka" },
["render"] = "6 - (5 - (\\frac{9}{5})^3)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.01, bodu=5, $$4 - (-5 \cdot -9) + 4=\textcolor{white}{-37}$$return {
["body"] = 5,
["id"] = "RwQPr4_0410_1524",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -37,
["jmenovatel"] = 1 },
["render"] = "\\frac{-37}{1}",
["typ"] = "cislo" },
["tex"] = "-37",
["x"] = -37 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -9",
["typ"] = "krat" },
["render"] = "4 - (-5 \\cdot -9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 - (-5 \\cdot -9) + 4",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.02, bodu=10, $$(\frac{8 \cdot 5}{7 + 8})^2=\textcolor{white}{7\frac{1}{9}}$$return {
["body"] = 10,
["id"] = "4c5llX_0410_1524",
["obtiznost"] = 0.0492,
["reseni"] = {
["float"] = 7.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 9 },
["render"] = "\\frac{64}{9}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{9}",
["x"] = 7,
["y"] = 1,
["z"] = 9 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.02",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "\\frac{8 \\cdot 5}{7 + 8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8 \\cdot 5}{7 + 8})^2",
["typ"] = "mocnina" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.03, bodu=10, $$\frac{7 + 10 - 4 + 9}{8}=\textcolor{white}{2{,}75}$$return {
["body"] = 10,
["id"] = "RvRo7v_0410_1524",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 2.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "\\frac{22}{8}",
["typ"] = "cislo" },
["tex"] = "2\\frac{3}{4}",
["tex_float"] = "2{,}75",
["x"] = 2,
["y"] = 3,
["z"] = 4 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 + 10 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 + 10 - 4 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 10 - 4 + 9}{8}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.04, bodu=5, $$7 - 10 \cdot (3 + 7)=\textcolor{white}{-93}$$return {
["body"] = 5,
["id"] = "gXM187_0410_1524",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -93,
["jmenovatel"] = 1 },
["render"] = "\\frac{-93}{1}",
["typ"] = "cislo" },
["tex"] = "-93",
["tex_float"] = "-93",
["x"] = -93 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 + 7",
["typ"] = "plus" },
["render"] = "(3 + 7)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (3 + 7)",
["typ"] = "krat" },
["render"] = "7 - 10 \\cdot (3 + 7)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.05, bodu=13, $$\frac{(4 + 9)^2}{10} - 6=\textcolor{white}{10{,}9}$$return {
["body"] = 13,
["id"] = "pH9H3L_0410_1524",
["obtiznost"] = 0.118,
["reseni"] = {
["float"] = 10.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = 109,
["jmenovatel"] = 10 },
["render"] = "\\frac{109}{10}",
["typ"] = "cislo" },
["tex"] = "10\\frac{9}{10}",
["tex_float"] = "10{,}9",
["x"] = 10,
["y"] = 9,
["z"] = 10 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(4 + 9)^2}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(4 + 9)^2}{10} - 6",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.06, bodu=5, $$(5 + 3) \cdot (-4 - 6)=\textcolor{white}{-80}$$return {
["body"] = 5,
["id"] = "ynek0r_0410_1524",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 1 },
["render"] = "\\frac{-80}{1}",
["typ"] = "cislo" },
["tex"] = "-80",
["tex_float"] = "-80",
["x"] = -80 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.06",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "5 + 3",
["typ"] = "plus" },
["render"] = "(5 + 3)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-4 - 6",
["typ"] = "minus" },
["render"] = "(-4 - 6)",
["typ"] = "zavorka" },
["render"] = "(5 + 3) \\cdot (-4 - 6)",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.07, bodu=11, $$\frac{5}{11 \cdot 8}=\textcolor{white}{\frac{5}{88}}$$return {
["body"] = 11,
["id"] = "BmOyfR_0410_1524",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 0.056818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 88 },
["render"] = "\\frac{5}{88}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{88}",
["y"] = 5,
["z"] = 88 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{5}{11 \\cdot 8}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.08, bodu=9, $$(-8 + 8 + 9 + 9)^2 + 7=\textcolor{white}{331}$$return {
["body"] = 9,
["id"] = "wktiDt_0410_1524",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 331,
["jmenovatel"] = 1 },
["render"] = "\\frac{331}{1}",
["typ"] = "cislo" },
["tex"] = "331",
["tex_float"] = "331",
["x"] = 331 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.08",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["render"] = "8 + 9 + 9",
["typ"] = "plus" },
["render"] = "-8 + 8 + 9 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 8 + 9 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-8 + 8 + 9 + 9)^2 + 7",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.09, bodu=6, $$10 + (6 + 2) \cdot 9=\textcolor{white}{82}$$return {
["body"] = 6,
["id"] = "7e82g5_0410_1524",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 82,
["jmenovatel"] = 1 },
["render"] = "\\frac{82}{1}",
["typ"] = "cislo" },
["tex"] = "82",
["x"] = 82 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "6 + 2",
["typ"] = "plus" },
["render"] = "(6 + 2)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(6 + 2) \\cdot 9",
["typ"] = "krat" },
["render"] = "10 + (6 + 2) \\cdot 9",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.1, bodu=24, $$\frac{3}{5 \cdot 2\frac{3}{7}}=\textcolor{white}{\frac{21}{85}}$$return {
["body"] = 24,
["id"] = "IW6Mot_0410_1524",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 0.24705882352941,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 85 },
["render"] = "\\frac{21}{85}",
["typ"] = "cislo" },
["tex"] = "\\frac{21}{85}",
["y"] = 21,
["z"] = 85 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 2\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "\\frac{3}{5 \\cdot 2\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.11, bodu=19, $$(\frac{(5 - 6)^4}{(-12 + 6 + 8)^2})^4=\textcolor{white}{\frac{1}{256}}$$return {
["body"] = 19,
["id"] = "irEvKw_0410_1524",
["obtiznost"] = 0.2156,
["reseni"] = {
["float"] = 0.00390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 256 },
["render"] = "\\frac{1}{256}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{256}",
["y"] = 1,
["z"] = 256 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.11",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 - 6",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-12 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-12 + 6 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + 6 + 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(5 - 6)^4}{(-12 + 6 + 8)^2}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{(5 - 6)^4}{(-12 + 6 + 8)^2})^4",
["typ"] = "mocnina" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.12, bodu=13, $$8 - (8 - \frac{8}{-9})=\textcolor{white}{-\frac{8}{9}}$$return {
["body"] = 13,
["id"] = "2KzT69_0410_1524",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = -0.88888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 9 },
["render"] = "\\frac{-8}{9}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{9}",
["y"] = -8,
["z"] = 9 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-9}",
["typ"] = "lomeno" },
["render"] = "8 - \\frac{8}{-9}",
["typ"] = "minus" },
["render"] = "(8 - \\frac{8}{-9})",
["typ"] = "zavorka" },
["render"] = "8 - (8 - \\frac{8}{-9})",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.13, bodu=7, $$(-4 - 7) \cdot (-6 + 8)=\textcolor{white}{-22}$$return {
["body"] = 7,
["id"] = "gUfP7Q_0410_1524",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "\\frac{-22}{1}",
["typ"] = "cislo" },
["tex"] = "-22",
["tex_float"] = "-22",
["x"] = -22 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.13",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-4 - 7",
["typ"] = "minus" },
["render"] = "(-4 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 + 8",
["typ"] = "plus" },
["render"] = "(-6 + 8)",
["typ"] = "zavorka" },
["render"] = "(-4 - 7) \\cdot (-6 + 8)",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.14, bodu=16, $$(-10 - 10) \cdot (\frac{6}{9})^4=\textcolor{white}{-3\frac{77}{81}}$$return {
["body"] = 16,
["id"] = "ZGfAoC_0410_1524",
["obtiznost"] = 0.1788,
["reseni"] = {
["float"] = -3.9506172839506,
["objekt"] = {
["hodnota"] = {
["citatel"] = -320,
["jmenovatel"] = 81 },
["render"] = "\\frac{-320}{81}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{77}{81}",
["x"] = -3,
["y"] = 77,
["z"] = 81 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.14",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 - 10",
["typ"] = "minus" },
["render"] = "(-10 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{6}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6}{9})^4",
["typ"] = "mocnina" },
["render"] = "(-10 - 10) \\cdot (\\frac{6}{9})^4",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.15, bodu=7, $$-12 + 2 - 3 - 12=\textcolor{white}{-25}$$return {
["body"] = 7,
["id"] = "RkWe9F_0410_1524",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 1 },
["render"] = "\\frac{-25}{1}",
["typ"] = "cislo" },
["tex"] = "-25",
["x"] = -25 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "2 - 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2 - 3 - 12",
["typ"] = "minus" },
["render"] = "-12 + 2 - 3 - 12",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.16, bodu=7, $$(9 + 9) \cdot 6 \cdot 6=\textcolor{white}{648}$$return {
["body"] = 7,
["id"] = "PPfyKZ_0410_1524",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 648,
["jmenovatel"] = 1 },
["render"] = "\\frac{648}{1}",
["typ"] = "cislo" },
["tex"] = "648",
["tex_float"] = "648",
["x"] = 648 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["render"] = "(9 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(9 + 9) \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(9 + 9) \\cdot 6 \\cdot 6",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.17, bodu=8, $$7 - (6 - 10 - 8)=\textcolor{white}{19}$$return {
["body"] = 8,
["id"] = "18KqMg_0410_1524",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "\\frac{19}{1}",
["typ"] = "cislo" },
["tex"] = "19",
["tex_float"] = "19",
["x"] = 19 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 - 10 - 8",
["typ"] = "minus" },
["render"] = "(6 - 10 - 8)",
["typ"] = "zavorka" },
["render"] = "7 - (6 - 10 - 8)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.18, bodu=31, $$\frac{5}{-2} \cdot 3\frac{1}{6}=\textcolor{white}{-7\frac{11}{12}}$$return {
["body"] = 31,
["id"] = "ROlmml_0410_1524",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = -7.9166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95,
["jmenovatel"] = 12 },
["render"] = "\\frac{-95}{12}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{11}{12}",
["x"] = -7,
["y"] = 11,
["z"] = 12 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-2} \\cdot 3\\frac{1}{6}",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.19, bodu=17, $$\frac{8 + \frac{3}{7}}{-10}=\textcolor{white}{-\frac{59}{70}}$$return {
["body"] = 17,
["id"] = "N3ukMu_0410_1524",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = -0.84285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -59,
["jmenovatel"] = 70 },
["render"] = "\\frac{59}{-70}",
["typ"] = "cislo" },
["tex"] = "-\\frac{59}{70}",
["y"] = -59,
["z"] = 70 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3}{7}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{8 + \\frac{3}{7}}{-10}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.2, bodu=9, $$10 - 6 + 5 \cdot 14 - (-9)=\textcolor{white}{83}$$return {
["body"] = 9,
["id"] = "DZnVtP_0410_1524",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 83,
["jmenovatel"] = 1 },
["render"] = "\\frac{83}{1}",
["typ"] = "cislo" },
["tex"] = "83",
["x"] = 83 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 - 6",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "5 \\cdot 14",
["typ"] = "krat" },
["render"] = "10 - 6 + 5 \\cdot 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 - 6 + 5 \\cdot 14 - (-9)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.21, bodu=33, $$11 + \frac{3}{10} - (1\frac{5}{7} - 4)=\textcolor{white}{13\frac{41}{70}}$$return {
["body"] = 33,
["id"] = "iiADBL_0410_1524",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 13.585714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 951,
["jmenovatel"] = 70 },
["render"] = "\\frac{951}{70}",
["typ"] = "cislo" },
["tex"] = "13\\frac{41}{70}",
["x"] = 13,
["y"] = 41,
["z"] = 70 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3}{10}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} - 4",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{7} - 4)",
["typ"] = "zavorka" },
["render"] = "11 + \\frac{3}{10} - (1\\frac{5}{7} - 4)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.22, bodu=20, $$(11 - (9 + 10))^2 + \frac{7}{-11}=\textcolor{white}{63\frac{4}{11}}$$return {
["body"] = 20,
["id"] = "MkB8oW_0410_1524",
["obtiznost"] = 0.246,
["reseni"] = {
["float"] = 63.363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 697,
["jmenovatel"] = 11 },
["render"] = "\\frac{697}{11}",
["typ"] = "cislo" },
["tex"] = "63\\frac{4}{11}",
["x"] = 63,
["y"] = 4,
["z"] = 11 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.22",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "9 + 10",
["typ"] = "plus" },
["render"] = "(9 + 10)",
["typ"] = "zavorka" },
["render"] = "11 - (9 + 10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - (9 + 10))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-11}",
["typ"] = "lomeno" },
["render"] = "(11 - (9 + 10))^2 + \\frac{7}{-11}",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.23, bodu=35, $$\frac{(2\frac{3}{6} - 7) \cdot 7}{-8}=\textcolor{white}{3\frac{15}{16}}$$return {
["body"] = 35,
["id"] = "37fLrw_0410_1524",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 3.9375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 16 },
["render"] = "\\frac{-63}{-16}",
["typ"] = "cislo" },
["tex"] = "3\\frac{15}{16}",
["x"] = 3,
["y"] = 15,
["z"] = 16 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} - 7",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{6} - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{6} - 7) \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{3}{6} - 7) \\cdot 7}{-8}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.24, bodu=10, $$(12 + 13) \cdot 10 \cdot -13=\textcolor{white}{-3250}$$return {
["body"] = 10,
["id"] = "rj3fT4_0410_1524",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3250,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3250}{1}",
["typ"] = "cislo" },
["tex"] = "-3250",
["tex_float"] = "-3250",
["x"] = -3250 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 + 13",
["typ"] = "plus" },
["render"] = "(12 + 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(12 + 13) \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(12 + 13) \\cdot 10 \\cdot -13",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.25, bodu=10, $$9 \cdot -12 + 8 \cdot 7=\textcolor{white}{-52}$$return {
["body"] = 10,
["id"] = "TDX5Zk_0410_1524",
["obtiznost"] = 0.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -52,
["jmenovatel"] = 1 },
["render"] = "\\frac{-52}{1}",
["typ"] = "cislo" },
["tex"] = "-52",
["tex_float"] = "-52",
["x"] = -52 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.25",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7",
["typ"] = "krat" },
["render"] = "9 \\cdot -12 + 8 \\cdot 7",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.26, bodu=21, $$\frac{10}{-7} + 9 - (12 - 13)=\textcolor{white}{8\frac{4}{7}}$$return {
["body"] = 21,
["id"] = "U96Lcg_0410_1524",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 8.5714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 7 },
["render"] = "\\frac{60}{7}",
["typ"] = "cislo" },
["tex"] = "8\\frac{4}{7}",
["x"] = 8,
["y"] = 4,
["z"] = 7 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-7} + 9",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 - 13",
["typ"] = "minus" },
["render"] = "(12 - 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{10}{-7} + 9 - (12 - 13)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.27, bodu=15, $$-10 + 5 - (8 + 11 - (-10 + (-7))^2)=\textcolor{white}{265}$$return {
["body"] = 15,
["id"] = "yzVsux_0410_1524",
["obtiznost"] = 0.386,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 265,
["jmenovatel"] = 1 },
["render"] = "\\frac{265}{1}",
["typ"] = "cislo" },
["tex"] = "265",
["x"] = 265 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-10 + 5",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-10 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + (-7))^2",
["typ"] = "mocnina" },
["render"] = "11 - (-10 + (-7))^2",
["typ"] = "minus" },
["render"] = "8 + 11 - (-10 + (-7))^2",
["typ"] = "plus" },
["render"] = "(8 + 11 - (-10 + (-7))^2)",
["typ"] = "zavorka" },
["render"] = "-10 + 5 - (8 + 11 - (-10 + (-7))^2)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.28, bodu=11, $$(7 - 8 \cdot 14) \cdot 10=\textcolor{white}{-1050}$$return {
["body"] = 11,
["id"] = "5s8bkg_0410_1524",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1050,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1050}{1}",
["typ"] = "cislo" },
["tex"] = "-1050",
["x"] = -1050 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.28",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 \\cdot 14",
["typ"] = "krat" },
["render"] = "7 - 8 \\cdot 14",
["typ"] = "minus" },
["render"] = "(7 - 8 \\cdot 14)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(7 - 8 \\cdot 14) \\cdot 10",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.29, bodu=61, $$\frac{\frac{4\frac{1}{4} - 7}{4\frac{1}{6}}}{-10}=\textcolor{white}{0{,}066}$$return {
["body"] = 61,
["id"] = "V4ZmyP_0410_1524",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 0.066,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 500 },
["render"] = "\\frac{-33}{-500}",
["typ"] = "cislo" },
["tex"] = "\\frac{33}{500}",
["tex_float"] = "0{,}066",
["y"] = 33,
["z"] = 500 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{4} - 7}{4\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{1}{4} - 7}{4\\frac{1}{6}}}{-10}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.3, bodu=24, $$\frac{-9 \cdot (8 + 6)}{5}=\textcolor{white}{-25{,}2}$$return {
["body"] = 24,
["id"] = "ElWSWo_0410_1524",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = -25.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -126,
["jmenovatel"] = 5 },
["render"] = "\\frac{-126}{5}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{1}{5}",
["tex_float"] = "-25{,}2",
["x"] = -25,
["y"] = 1,
["z"] = 5 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "-9 \\cdot (8 + 6)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot (8 + 6)}{5}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.31, bodu=42, $$9 + 8 \cdot 4\frac{4}{10} \cdot -12=\textcolor{white}{-413{,}4}$$return {
["body"] = 42,
["id"] = "c0LY04_0410_1524",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -413.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2067,
["jmenovatel"] = 5 },
["render"] = "\\frac{-2067}{5}",
["typ"] = "cislo" },
["tex"] = "-413\\frac{2}{5}",
["tex_float"] = "-413{,}4",
["x"] = -413,
["y"] = 2,
["z"] = 5 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} \\cdot -12",
["typ"] = "krat" },
["render"] = "8 \\cdot 4\\frac{4}{10} \\cdot -12",
["typ"] = "krat" },
["render"] = "9 + 8 \\cdot 4\\frac{4}{10} \\cdot -12",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.32, bodu=43, $$8 \cdot 1\frac{4}{9} \cdot -3 + 7=\textcolor{white}{-27\frac{2}{3}}$$return {
["body"] = 43,
["id"] = "bIdvXF_0410_1524",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -27.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -83,
["jmenovatel"] = 3 },
["render"] = "\\frac{-83}{3}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{2}{3}",
["x"] = -27,
["y"] = 2,
["z"] = 3 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{4}{9} \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 1\\frac{4}{9} \\cdot -3 + 7",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.33, bodu=27, $$\frac{8}{-12 + \frac{9}{8 - 7}}=\textcolor{white}{-2\frac{2}{3}}$$return {
["body"] = 27,
["id"] = "zPMXZr_0410_1524",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = -2.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 3 },
["render"] = "\\frac{8}{-3}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{2}{3}",
["x"] = -2,
["y"] = 2,
["z"] = 3 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 7",
["typ"] = "minus" },
["render"] = "\\frac{9}{8 - 7}",
["typ"] = "lomeno" },
["render"] = "-12 + \\frac{9}{8 - 7}",
["typ"] = "plus" },
["render"] = "\\frac{8}{-12 + \\frac{9}{8 - 7}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.34, bodu=45, $$\frac{-7}{\frac{1\frac{3}{7}}{13 - (10 + 9)}}=\textcolor{white}{29{,}4}$$return {
["body"] = 45,
["id"] = "dke08q_0410_1524",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 29.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 147,
["jmenovatel"] = 5 },
["render"] = "\\frac{-147}{-5}",
["typ"] = "cislo" },
["tex"] = "29\\frac{2}{5}",
["tex_float"] = "29{,}4",
["x"] = 29,
["y"] = 2,
["z"] = 5 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "(10 + 9)",
["typ"] = "zavorka" },
["render"] = "13 - (10 + 9)",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{7}}{13 - (10 + 9)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-7}{\\frac{1\\frac{3}{7}}{13 - (10 + 9)}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.35, bodu=46, $$\frac{4\frac{1}{4}}{14 \cdot 10 \cdot 5}=\textcolor{white}{\frac{17}{2800}}$$return {
["body"] = 46,
["id"] = "x3TS9w_0410_1524",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 0.0060714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 2800 },
["render"] = "\\frac{17}{2800}",
["typ"] = "cislo" },
["tex"] = "\\frac{17}{2800}",
["y"] = 17,
["z"] = 2800 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 \\cdot 5",
["typ"] = "krat" },
["render"] = "14 \\cdot 10 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{4}}{14 \\cdot 10 \\cdot 5}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.36, bodu=47, $$-6 - 8 + \frac{10 + 1\frac{5}{9}}{11}=\textcolor{white}{-12\frac{94}{99}}$$return {
["body"] = 47,
["id"] = "xeMG2i_0410_1524",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -12.949494949495,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1282,
["jmenovatel"] = 99 },
["render"] = "\\frac{-1282}{99}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{94}{99}",
["x"] = -12,
["y"] = 94,
["z"] = 99 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{10 + 1\\frac{5}{9}}{11}",
["typ"] = "lomeno" },
["render"] = "-6 - 8 + \\frac{10 + 1\\frac{5}{9}}{11}",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.37, bodu=15, $$-10 \cdot 13 - (-13) - (-12)=\textcolor{white}{-105}$$return {
["body"] = 15,
["id"] = "LtF3IH_0410_1524",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -105,
["jmenovatel"] = 1 },
["render"] = "\\frac{-105}{1}",
["typ"] = "cislo" },
["tex"] = "-105",
["x"] = -105 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13 - (-13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 13 - (-13) - (-12)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.38, bodu=31, $$\frac{\frac{15}{-14} \cdot -3}{9}=\textcolor{white}{\frac{5}{14}}$$return {
["body"] = 31,
["id"] = "29WPGK_0410_1524",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 0.35714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 14 },
["render"] = "\\frac{45}{126}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{14}",
["y"] = 5,
["z"] = 14 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-14} \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{-14} \\cdot -3}{9}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.39, bodu=31, $$\frac{14 - (-8)}{4} - (-11)=\textcolor{white}{16{,}5}$$return {
["body"] = 31,
["id"] = "kb6khQ_0410_1524",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 16.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 2 },
["render"] = "\\frac{33}{2}",
["typ"] = "cislo" },
["tex"] = "16\\frac{1}{2}",
["tex_float"] = "16{,}5",
["x"] = 16,
["y"] = 1,
["z"] = 2 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 - (-8)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{14 - (-8)}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{14 - (-8)}{4} - (-11)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.4, bodu=79, $$\frac{-12 - 7}{1\frac{1}{8} + (\frac{-13}{10 + 11})^2}=\textcolor{white}{-12\frac{3180}{5321}}$$return {
["body"] = 79,
["id"] = "gsXD1W_0410_1524",
["obtiznost"] = 0.844,
["reseni"] = {
["float"] = -12.597632024056,
["objekt"] = {
["hodnota"] = {
["citatel"] = -67032,
["jmenovatel"] = 5321 },
["render"] = "\\frac{-67032}{5321}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{3180}{5321}",
["x"] = -12,
["y"] = 3180,
["z"] = 5321 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-12 - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 + 11",
["typ"] = "plus" },
["render"] = "\\frac{-13}{10 + 11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{10 + 11})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{8} + (\\frac{-13}{10 + 11})^2",
["typ"] = "plus" },
["render"] = "\\frac{-12 - 7}{1\\frac{1}{8} + (\\frac{-13}{10 + 11})^2}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.41, bodu=33, $$\frac{11 + 13}{11 - (-12) - (-11 - 5)}=\textcolor{white}{\frac{8}{13}}$$return {
["body"] = 33,
["id"] = "deDIom_0410_1524",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = 0.61538461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 13 },
["render"] = "\\frac{24}{39}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{13}",
["y"] = 8,
["z"] = 13 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 + 13",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "11 - (-12)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-11 - 5",
["typ"] = "minus" },
["render"] = "(-11 - 5)",
["typ"] = "zavorka" },
["render"] = "11 - (-12) - (-11 - 5)",
["typ"] = "minus" },
["render"] = "\\frac{11 + 13}{11 - (-12) - (-11 - 5)}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.42, bodu=53, $$-4 \cdot 13 \cdot \frac{4}{9 + 2\frac{3}{10}}=\textcolor{white}{-18\frac{46}{113}}$$return {
["body"] = 53,
["id"] = "nF0RiD_0410_1524",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = -18.407079646018,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2080,
["jmenovatel"] = 113 },
["render"] = "\\frac{-2080}{113}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{46}{113}",
["x"] = -18,
["y"] = 46,
["z"] = 113 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "\\frac{4}{9 + 2\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "-4 \\cdot 13 \\cdot \\frac{4}{9 + 2\\frac{3}{10}}",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.43, bodu=78, $$(12 + 4\frac{4}{8} - 9 - 7) \cdot 4\frac{2}{6}=\textcolor{white}{2\frac{1}{6}}$$return {
["body"] = 78,
["id"] = "WMF20E_0410_1524",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 2.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "\\frac{13}{6}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{6}",
["x"] = 2,
["y"] = 1,
["z"] = 6 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.43",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{4}{8} - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 + 4\\frac{4}{8} - 9 - 7",
["typ"] = "minus" },
["render"] = "(12 + 4\\frac{4}{8} - 9 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(12 + 4\\frac{4}{8} - 9 - 7) \\cdot 4\\frac{2}{6}",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.44, bodu=18, $$13 \cdot (6 \cdot 13 - 12 \cdot 7)=\textcolor{white}{-78}$$return {
["body"] = 18,
["id"] = "GUhJSF_0410_1524",
["obtiznost"] = 0.44,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -78,
["jmenovatel"] = 1 },
["render"] = "\\frac{-78}{1}",
["typ"] = "cislo" },
["tex"] = "-78",
["x"] = -78 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "6 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 \\cdot 7",
["typ"] = "krat" },
["render"] = "6 \\cdot 13 - 12 \\cdot 7",
["typ"] = "minus" },
["render"] = "(6 \\cdot 13 - 12 \\cdot 7)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (6 \\cdot 13 - 12 \\cdot 7)",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.45, bodu=57, $$\frac{\frac{-6}{15}}{-6} \cdot 3\frac{1}{6}=\textcolor{white}{\frac{19}{90}}$$return {
["body"] = 57,
["id"] = "QNCiQh_0410_1524",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 0.21111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 90 },
["render"] = "\\frac{19}{90}",
["typ"] = "cislo" },
["tex"] = "\\frac{19}{90}",
["y"] = 19,
["z"] = 90 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-6}{15}}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-6}{15}}{-6} \\cdot 3\\frac{1}{6}",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.46, bodu=58, $$\frac{(-10 + (-16)) \cdot 4\frac{4}{9} \cdot 7}{7}=\textcolor{white}{-115\frac{5}{9}}$$return {
["body"] = 58,
["id"] = "jFIzqf_0410_1524",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = -115.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1040,
["jmenovatel"] = 9 },
["render"] = "\\frac{-7280}{63}",
["typ"] = "cislo" },
["tex"] = "-115\\frac{5}{9}",
["x"] = -115,
["y"] = 5,
["z"] = 9 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-10 + (-16)",
["typ"] = "plus" },
["render"] = "(-10 + (-16))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} \\cdot 7",
["typ"] = "krat" },
["render"] = "(-10 + (-16)) \\cdot 4\\frac{4}{9} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(-10 + (-16)) \\cdot 4\\frac{4}{9} \\cdot 7}{7}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.47, bodu=59, $$\frac{-14 + 7}{6 + 6 + \frac{3\frac{2}{5}}{3}}=\textcolor{white}{-\frac{105}{197}}$$return {
["body"] = 59,
["id"] = "QqOozs_0410_1524",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -0.53299492385787,
["objekt"] = {
["hodnota"] = {
["citatel"] = -105,
["jmenovatel"] = 197 },
["render"] = "\\frac{-105}{197}",
["typ"] = "cislo" },
["tex"] = "-\\frac{105}{197}",
["y"] = -105,
["z"] = 197 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-14 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{5}}{3}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{3\\frac{2}{5}}{3}",
["typ"] = "plus" },
["render"] = "6 + 6 + \\frac{3\\frac{2}{5}}{3}",
["typ"] = "plus" },
["render"] = "\\frac{-14 + 7}{6 + 6 + \\frac{3\\frac{2}{5}}{3}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.48, bodu=111, $$2\frac{5}{9} \cdot (4\frac{3}{7} + 17 - 1\frac{5}{9}) - (-3)=\textcolor{white}{53\frac{446}{567}}$$return {
["body"] = 111,
["id"] = "igFTo5_0410_1524",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 53.786596119929,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30497,
["jmenovatel"] = 567 },
["render"] = "\\frac{30497}{567}",
["typ"] = "cislo" },
["tex"] = "53\\frac{446}{567}",
["x"] = 53,
["y"] = 446,
["z"] = 567 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 17",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 17 - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{7} + 17 - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{9} \\cdot (4\\frac{3}{7} + 17 - 1\\frac{5}{9})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot (4\\frac{3}{7} + 17 - 1\\frac{5}{9}) - (-3)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.49, bodu=60, $$\frac{(-11 + (-11))^2}{-12} \cdot 5 \cdot -12=\textcolor{white}{2420}$$return {
["body"] = 60,
["id"] = "85cdsM_0410_1524",
["obtiznost"] = 0.684,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2420,
["jmenovatel"] = 1 },
["render"] = "\\frac{7260}{3}",
["typ"] = "cislo" },
["tex"] = "2420",
["tex_float"] = "2420",
["x"] = 2420 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-11 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(-11 + (-11))^2}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "5 \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{(-11 + (-11))^2}{-12} \\cdot 5 \\cdot -12",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.5, bodu=62, $$-10 - 10 - (9 + 14 \cdot (4\frac{1}{5} + 14))=\textcolor{white}{-283{,}8}$$return {
["body"] = 62,
["id"] = "vOpV2B_0410_1524",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -283.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1419,
["jmenovatel"] = 5 },
["render"] = "\\frac{-1419}{5}",
["typ"] = "cislo" },
["tex"] = "-283\\frac{4}{5}",
["tex_float"] = "-283{,}8",
["x"] = -283,
["y"] = 4,
["z"] = 5 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 - 10",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} + 14",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{5} + 14)",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (4\\frac{1}{5} + 14)",
["typ"] = "krat" },
["render"] = "9 + 14 \\cdot (4\\frac{1}{5} + 14)",
["typ"] = "plus" },
["render"] = "(9 + 14 \\cdot (4\\frac{1}{5} + 14))",
["typ"] = "zavorka" },
["render"] = "-10 - 10 - (9 + 14 \\cdot (4\\frac{1}{5} + 14))",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.51, bodu=115, $$\frac{5 + 5 + 1\frac{4}{9}}{\frac{3\frac{4}{9} + 2\frac{1}{7}}{17}}=\textcolor{white}{34\frac{289}{352}}$$return {
["body"] = 115,
["id"] = "Yt3Leo_0410_1524",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 34.821022727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12257,
["jmenovatel"] = 352 },
["render"] = "\\frac{110313}{3168}",
["typ"] = "cislo" },
["tex"] = "34\\frac{289}{352}",
["x"] = 34,
["y"] = 289,
["z"] = 352 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "5 + 5 + 1\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} + 2\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{9} + 2\\frac{1}{7}}{17}",
["typ"] = "lomeno" },
["render"] = "\\frac{5 + 5 + 1\\frac{4}{9}}{\\frac{3\\frac{4}{9} + 2\\frac{1}{7}}{17}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.52, bodu=116, $$(-4 - \frac{4\frac{3}{5}}{5}) \cdot 1\frac{3}{8} + 1\frac{3}{6}=\textcolor{white}{-5{,}265}$$return {
["body"] = 116,
["id"] = "WvszQk_0410_1524",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -5.265,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1053,
["jmenovatel"] = 200 },
["render"] = "\\frac{-2106}{400}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{53}{200}",
["tex_float"] = "-5{,}265",
["x"] = -5,
["y"] = 53,
["z"] = 200 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{5}}{5}",
["typ"] = "lomeno" },
["render"] = "-4 - \\frac{4\\frac{3}{5}}{5}",
["typ"] = "minus" },
["render"] = "(-4 - \\frac{4\\frac{3}{5}}{5})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(-4 - \\frac{4\\frac{3}{5}}{5}) \\cdot 1\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "(-4 - \\frac{4\\frac{3}{5}}{5}) \\cdot 1\\frac{3}{8} + 1\\frac{3}{6}",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.53, bodu=90, $$3\frac{4}{6} - 15 \cdot (10 - \frac{1\frac{3}{7}}{-7})=\textcolor{white}{-149\frac{58}{147}}$$return {
["body"] = 90,
["id"] = "DYhKNu_0410_1524",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -149.39455782313,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21961,
["jmenovatel"] = 147 },
["render"] = "\\frac{-21961}{147}",
["typ"] = "cislo" },
["tex"] = "-149\\frac{58}{147}",
["x"] = -149,
["y"] = 58,
["z"] = 147 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{-7}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{1\\frac{3}{7}}{-7}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{1\\frac{3}{7}}{-7})",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (10 - \\frac{1\\frac{3}{7}}{-7})",
["typ"] = "krat" },
["render"] = "3\\frac{4}{6} - 15 \\cdot (10 - \\frac{1\\frac{3}{7}}{-7})",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.54, bodu=22, $$-7 \cdot (16 \cdot 10 - (-12 + 11))=\textcolor{white}{-1127}$$return {
["body"] = 22,
["id"] = "FuDQQl_0410_1524",
["obtiznost"] = 0.54,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1127,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1127}{1}",
["typ"] = "cislo" },
["tex"] = "-1127",
["x"] = -1127 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.54",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "16 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["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 + 11)",
["typ"] = "zavorka" },
["render"] = "16 \\cdot 10 - (-12 + 11)",
["typ"] = "minus" },
["render"] = "(16 \\cdot 10 - (-12 + 11))",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (16 \\cdot 10 - (-12 + 11))",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.55, bodu=68, $$4\frac{2}{7} - 8 - (2 - 7) - (-17 + 9)=\textcolor{white}{9\frac{2}{7}}$$return {
["body"] = 68,
["id"] = "QOyYXn_0410_1524",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 9.2857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 7 },
["render"] = "\\frac{65}{7}",
["typ"] = "cislo" },
["tex"] = "9\\frac{2}{7}",
["x"] = 9,
["y"] = 2,
["z"] = 7 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} - 8",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2 - 7",
["typ"] = "minus" },
["render"] = "(2 - 7)",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{7} - 8 - (2 - 7)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-17 + 9",
["typ"] = "plus" },
["render"] = "(-17 + 9)",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{7} - 8 - (2 - 7) - (-17 + 9)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.56, bodu=96, $$\frac{(\frac{-9}{15})^2}{-5 - 1\frac{5}{10} + 2\frac{1}{8}}=\textcolor{white}{-\frac{72}{875}}$$return {
["body"] = 96,
["id"] = "ZGoHPl_0410_1524",
["obtiznost"] = 0.9736,
["reseni"] = {
["float"] = -0.082285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 875 },
["render"] = "\\frac{72}{-875}",
["typ"] = "cislo" },
["tex"] = "-\\frac{72}{875}",
["y"] = -72,
["z"] = 875 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.56",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{15})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-5 - 1\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-5 - 1\\frac{5}{10} + 2\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{-9}{15})^2}{-5 - 1\\frac{5}{10} + 2\\frac{1}{8}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.57, bodu=70, $$\frac{13 \cdot 3\frac{3}{8}}{\frac{10}{13}}=\textcolor{white}{57\frac{3}{80}}$$return {
["body"] = 70,
["id"] = "zW7qFk_0410_1524",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 57.0375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4563,
["jmenovatel"] = 80 },
["render"] = "\\frac{4563}{80}",
["typ"] = "cislo" },
["tex"] = "57\\frac{3}{80}",
["x"] = 57,
["y"] = 3,
["z"] = 80 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.57",
["zadani"] = {
["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"] = "13 \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["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"] = "\\frac{13 \\cdot 3\\frac{3}{8}}{\\frac{10}{13}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.58, bodu=97, $$\frac{\frac{\frac{2\frac{1}{4}}{3\frac{4}{9}}}{-19}}{18}=\textcolor{white}{-\frac{9}{4712}}$$return {
["body"] = 97,
["id"] = "L19eTT_0410_1524",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -0.0019100169779287,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 4712 },
["render"] = "\\frac{-81}{42408}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{4712}",
["y"] = -9,
["z"] = 4712 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{4}}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{1}{4}}{3\\frac{4}{9}}}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{2\\frac{1}{4}}{3\\frac{4}{9}}}{-19}}{18}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.59, bodu=98, $$\frac{-11}{\frac{1\frac{5}{8} - 13}{11 \cdot 1\frac{2}{4}}}=\textcolor{white}{15\frac{87}{91}}$$return {
["body"] = 98,
["id"] = "kP8qo7_0410_1524",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 15.956043956044,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1452,
["jmenovatel"] = 91 },
["render"] = "\\frac{-1452}{-91}",
["typ"] = "cislo" },
["tex"] = "15\\frac{87}{91}",
["x"] = 15,
["y"] = 87,
["z"] = 91 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - 13",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{8} - 13}{11 \\cdot 1\\frac{2}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11}{\\frac{1\\frac{5}{8} - 13}{11 \\cdot 1\\frac{2}{4}}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.6, bodu=146, $$(9 \cdot 1\frac{3}{6})^2 \cdot (\frac{-4}{7})^2 - 4\frac{5}{10}=\textcolor{white}{55\frac{1}{98}}$$return {
["body"] = 146,
["id"] = "y7kP2H_0410_1524",
["obtiznost"] = 1.3192,
["reseni"] = {
["float"] = 55.010204081633,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5391,
["jmenovatel"] = 98 },
["render"] = "\\frac{5391}{98}",
["typ"] = "cislo" },
["tex"] = "55\\frac{1}{98}",
["x"] = 55,
["y"] = 1,
["z"] = 98 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{3}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(9 \\cdot 1\\frac{3}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-4}{7})^2",
["typ"] = "mocnina" },
["render"] = "(9 \\cdot 1\\frac{3}{6})^2 \\cdot (\\frac{-4}{7})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(9 \\cdot 1\\frac{3}{6})^2 \\cdot (\\frac{-4}{7})^2 - 4\\frac{5}{10}",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.61, bodu=76, $$(\frac{11}{(11 + (-14))^3} - \frac{11}{2\frac{3}{9}}) \cdot -11=\textcolor{white}{56\frac{64}{189}}$$return {
["body"] = 76,
["id"] = "f5QPC3_0410_1524",
["obtiznost"] = 0.8212,
["reseni"] = {
["float"] = 56.338624338624,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10648,
["jmenovatel"] = 189 },
["render"] = "\\frac{10648}{189}",
["typ"] = "cislo" },
["tex"] = "56\\frac{64}{189}",
["x"] = 56,
["y"] = 64,
["z"] = 189 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "11 + (-14)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(11 + (-14))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{(11 + (-14))^3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{(11 + (-14))^3} - \\frac{11}{2\\frac{3}{9}}",
["typ"] = "minus" },
["render"] = "(\\frac{11}{(11 + (-14))^3} - \\frac{11}{2\\frac{3}{9}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(\\frac{11}{(11 + (-14))^3} - \\frac{11}{2\\frac{3}{9}}) \\cdot -11",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.62, bodu=179, $$(-4 + 2\frac{2}{9})^2 - 8 - (2\frac{2}{9} - \frac{12}{-12})^2=\textcolor{white}{-15\frac{2}{9}}$$return {
["body"] = 179,
["id"] = "esIXZk_0410_1524",
["obtiznost"] = 1.5236,
["reseni"] = {
["float"] = -15.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -137,
["jmenovatel"] = 9 },
["render"] = "\\frac{-1233}{81}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{2}{9}",
["x"] = -15,
["y"] = 2,
["z"] = 9 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-4 + 2\\frac{2}{9}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-4 + 2\\frac{2}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-4 + 2\\frac{2}{9})^2 - 8",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["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"] = "2\\frac{2}{9} - \\frac{12}{-12}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{2}{9} - \\frac{12}{-12})^2",
["typ"] = "mocnina" },
["render"] = "(-4 + 2\\frac{2}{9})^2 - 8 - (2\\frac{2}{9} - \\frac{12}{-12})^2",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.63, bodu=104, $$(-20 - (13 + (-15)) \cdot (13 - 1\frac{5}{9})) \cdot 4\frac{4}{9}=\textcolor{white}{12\frac{68}{81}}$$return {
["body"] = 104,
["id"] = "ayX6eK_0410_1524",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 12.83950617284,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1040,
["jmenovatel"] = 81 },
["render"] = "\\frac{1040}{81}",
["typ"] = "cislo" },
["tex"] = "12\\frac{68}{81}",
["x"] = 12,
["y"] = 68,
["z"] = 81 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.63",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "13 + (-15)",
["typ"] = "plus" },
["render"] = "(13 + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "13 - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(13 - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "(13 + (-15)) \\cdot (13 - 1\\frac{5}{9})",
["typ"] = "krat" },
["render"] = "-20 - (13 + (-15)) \\cdot (13 - 1\\frac{5}{9})",
["typ"] = "minus" },
["render"] = "(-20 - (13 + (-15)) \\cdot (13 - 1\\frac{5}{9}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "(-20 - (13 + (-15)) \\cdot (13 - 1\\frac{5}{9})) \\cdot 4\\frac{4}{9}",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.64, bodu=106, $$\frac{-19}{4\frac{3}{8} \cdot 4\frac{2}{6} - (-13 - (-18))^2}=\textcolor{white}{3\frac{21}{145}}$$return {
["body"] = 106,
["id"] = "rT57oQ_0410_1524",
["obtiznost"] = 1.0504,
["reseni"] = {
["float"] = 3.1448275862069,
["objekt"] = {
["hodnota"] = {
["citatel"] = 456,
["jmenovatel"] = 145 },
["render"] = "\\frac{-456}{-145}",
["typ"] = "cislo" },
["tex"] = "3\\frac{21}{145}",
["x"] = 3,
["y"] = 21,
["z"] = 145 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.64",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "-13 - (-18)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-13 - (-18))^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{3}{8} \\cdot 4\\frac{2}{6} - (-13 - (-18))^2",
["typ"] = "minus" },
["render"] = "\\frac{-19}{4\\frac{3}{8} \\cdot 4\\frac{2}{6} - (-13 - (-18))^2}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.65, bodu=80, $$(4\frac{1}{4} \cdot -16 + (-4)) \cdot ((\frac{18}{-18})^3 + 16)=\textcolor{white}{-1080}$$return {
["body"] = 80,
["id"] = "MLWszC_0410_1524",
["obtiznost"] = 0.8508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1080,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1080}{1}",
["typ"] = "cislo" },
["tex"] = "-1080",
["tex_float"] = "-1080",
["x"] = -1080 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot -16 + (-4)",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{4} \\cdot -16 + (-4))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-18}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{18}{-18})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(\\frac{18}{-18})^3 + 16",
["typ"] = "plus" },
["render"] = "((\\frac{18}{-18})^3 + 16)",
["typ"] = "zavorka" },
["render"] = "(4\\frac{1}{4} \\cdot -16 + (-4)) \\cdot ((\\frac{18}{-18})^3 + 16)",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.66, bodu=166, $$6 \cdot \frac{11}{3\frac{1}{3}} \cdot (1\frac{3}{6} - 17)^2=\textcolor{white}{4756{,}95}$$return {
["body"] = 166,
["id"] = "DC3vhF_0410_1524",
["obtiznost"] = 1.446,
["reseni"] = {
["float"] = 4756.95,
["objekt"] = {
["hodnota"] = {
["citatel"] = 95139,
["jmenovatel"] = 20 },
["render"] = "\\frac{95139}{20}",
["typ"] = "cislo" },
["tex"] = "4756\\frac{19}{20}",
["tex_float"] = "4756{,}95",
["x"] = 4756,
["y"] = 19,
["z"] = 20 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{11}{3\\frac{1}{3}}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} - 17",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{6} - 17)^2",
["typ"] = "mocnina" },
["render"] = "6 \\cdot \\frac{11}{3\\frac{1}{3}} \\cdot (1\\frac{3}{6} - 17)^2",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.67, bodu=137, $$\frac{1\frac{4}{9} - 21}{(\frac{10}{4\frac{4}{8}})^2 \cdot -8}=\textcolor{white}{0{,}495}$$return {
["body"] = 137,
["id"] = "QbnCAA_0410_1524",
["obtiznost"] = 1.2624,
["reseni"] = {
["float"] = 0.495,
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 200 },
["render"] = "\\frac{-14256}{-28800}",
["typ"] = "cislo" },
["tex"] = "\\frac{99}{200}",
["tex_float"] = "0{,}495",
["y"] = 99,
["z"] = 200 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{9} - 21",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{4\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{4\\frac{4}{8}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(\\frac{10}{4\\frac{4}{8}})^2 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{9} - 21}{(\\frac{10}{4\\frac{4}{8}})^2 \\cdot -8}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.68, bodu=94, $$\frac{1\frac{3}{12} \cdot (-20 + 6)^2}{-10 - 14 - (-11)}=\textcolor{white}{-18\frac{11}{13}}$$return {
["body"] = 94,
["id"] = "Fa5Jds_0410_1524",
["obtiznost"] = 0.9588,
["reseni"] = {
["float"] = -18.846153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -245,
["jmenovatel"] = 13 },
["render"] = "\\frac{245}{-13}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{11}{13}",
["x"] = -18,
["y"] = 11,
["z"] = 13 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-20 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-20 + 6)^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{12} \\cdot (-20 + 6)^2",
["typ"] = "krat" },
["c2"] = {
["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"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 - 14 - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{12} \\cdot (-20 + 6)^2}{-10 - 14 - (-11)}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.69, bodu=167, $$(2\frac{4}{8} \cdot -12 - (-10))^2 - \frac{2\frac{4}{9} + (-6)}{3\frac{1}{8}}=\textcolor{white}{401\frac{31}{225}}$$return {
["body"] = 167,
["id"] = "6ouOGB_0410_1524",
["obtiznost"] = 1.4504,
["reseni"] = {
["float"] = 401.13777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 90256,
["jmenovatel"] = 225 },
["render"] = "\\frac{90256}{225}",
["typ"] = "cislo" },
["tex"] = "401\\frac{31}{225}",
["x"] = 401,
["y"] = 31,
["z"] = 225 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.69",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} \\cdot -12 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{8} \\cdot -12 - (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9} + (-6)}{3\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{4}{8} \\cdot -12 - (-10))^2 - \\frac{2\\frac{4}{9} + (-6)}{3\\frac{1}{8}}",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.7, bodu=159, $$4\frac{2}{7} \cdot (11 - (4\frac{4}{10} + 10)) + (\frac{2\frac{5}{10}}{10})^4=\textcolor{white}{-14\frac{1017}{1792}}$$return {
["body"] = 159,
["id"] = "0pFwi0_0410_1524",
["obtiznost"] = 1.4028,
["reseni"] = {
["float"] = -14.567522321429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26105,
["jmenovatel"] = 1792 },
["render"] = "\\frac{-26105}{1792}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{1017}{1792}",
["x"] = -14,
["y"] = 1017,
["z"] = 1792 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + 10",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{10} + 10)",
["typ"] = "zavorka" },
["render"] = "11 - (4\\frac{4}{10} + 10)",
["typ"] = "minus" },
["render"] = "(11 - (4\\frac{4}{10} + 10))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{7} \\cdot (11 - (4\\frac{4}{10} + 10))",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10}}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{2\\frac{5}{10}}{10})^4",
["typ"] = "mocnina" },
["render"] = "4\\frac{2}{7} \\cdot (11 - (4\\frac{4}{10} + 10)) + (\\frac{2\\frac{5}{10}}{10})^4",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.71, bodu=144, $$\frac{13}{1\frac{5}{9}} \cdot (4\frac{3}{5} + 11 + 20 + 1\frac{5}{8} - (-14))=\textcolor{white}{428\frac{53}{560}}$$return {
["body"] = 144,
["id"] = "ATb7H6_0410_1524",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 428.09464285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 239733,
["jmenovatel"] = 560 },
["render"] = "\\frac{239733}{560}",
["typ"] = "cislo" },
["tex"] = "428\\frac{53}{560}",
["x"] = 428,
["y"] = 53,
["z"] = 560 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "11 + 20",
["typ"] = "plus" },
["render"] = "4\\frac{3}{5} + 11 + 20",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - (-14)",
["typ"] = "minus" },
["render"] = "4\\frac{3}{5} + 11 + 20 + 1\\frac{5}{8} - (-14)",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{5} + 11 + 20 + 1\\frac{5}{8} - (-14))",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{1\\frac{5}{9}} \\cdot (4\\frac{3}{5} + 11 + 20 + 1\\frac{5}{8} - (-14))",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.72, bodu=146, $$\frac{2\frac{2}{7} \cdot 13 + (-12 + 3\frac{3}{13})}{10 \cdot 4\frac{2}{10}}=\textcolor{white}{\frac{953}{1911}}$$return {
["body"] = 146,
["id"] = "mA4stC_0410_1524",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 0.49869178440607,
["objekt"] = {
["hodnota"] = {
["citatel"] = 953,
["jmenovatel"] = 1911 },
["render"] = "\\frac{1906}{3822}",
["typ"] = "cislo" },
["tex"] = "\\frac{953}{1911}",
["y"] = 953,
["z"] = 1911 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "-12 + 3\\frac{3}{13}",
["typ"] = "plus" },
["render"] = "2\\frac{2}{7} \\cdot 13 + (-12 + 3\\frac{3}{13})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{7} \\cdot 13 + (-12 + 3\\frac{3}{13})}{10 \\cdot 4\\frac{2}{10}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.73, bodu=90, $$(\frac{8}{-15} - 2\frac{3}{8}) \cdot (-8 - 9)=\textcolor{white}{49\frac{53}{120}}$$return {
["body"] = 90,
["id"] = "0i0qwC_0410_1524",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 49.441666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5933,
["jmenovatel"] = 120 },
["render"] = "\\frac{5933}{120}",
["typ"] = "cislo" },
["tex"] = "49\\frac{53}{120}",
["x"] = 49,
["y"] = 53,
["z"] = 120 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.73",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-15} - 2\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(\\frac{8}{-15} - 2\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 - 9",
["typ"] = "minus" },
["render"] = "(-8 - 9)",
["typ"] = "zavorka" },
["render"] = "(\\frac{8}{-15} - 2\\frac{3}{8}) \\cdot (-8 - 9)",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.74, bodu=67, $$(18 \cdot \frac{-12}{10} + 9) \cdot 10=\textcolor{white}{-126}$$return {
["body"] = 67,
["id"] = "kM5nIs_0410_1524",
["obtiznost"] = 0.74,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -126,
["jmenovatel"] = 1 },
["render"] = "\\frac{-630}{5}",
["typ"] = "cislo" },
["tex"] = "-126",
["tex_float"] = "-126",
["x"] = -126 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{10}",
["typ"] = "lomeno" },
["render"] = "18 \\cdot \\frac{-12}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "18 \\cdot \\frac{-12}{10} + 9",
["typ"] = "plus" },
["render"] = "(18 \\cdot \\frac{-12}{10} + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(18 \\cdot \\frac{-12}{10} + 9) \\cdot 10",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.75, bodu=120, $$\frac{-17 \cdot -16}{14 + (1\frac{1}{8} - (-6)) \cdot 4\frac{2}{6}}=\textcolor{white}{6\frac{22}{359}}$$return {
["body"] = 120,
["id"] = "tBbVNx_0410_1524",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 6.0612813370474,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2176,
["jmenovatel"] = 359 },
["render"] = "\\frac{2176}{359}",
["typ"] = "cislo" },
["tex"] = "6\\frac{22}{359}",
["x"] = 6,
["y"] = 22,
["z"] = 359 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} - (-6)",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{8} - (-6))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{8} - (-6)) \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "14 + (1\\frac{1}{8} - (-6)) \\cdot 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "\\frac{-17 \\cdot -16}{14 + (1\\frac{1}{8} - (-6)) \\cdot 4\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.76, bodu=152, $$\frac{3\frac{4}{6}}{15 \cdot 1\frac{5}{10} + \frac{4\frac{1}{7}}{16}}=\textcolor{white}{\frac{1232}{7647}}$$return {
["body"] = 152,
["id"] = "Mo7Y6N_0410_1524",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 0.16110893160717,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1232,
["jmenovatel"] = 7647 },
["render"] = "\\frac{1232}{7647}",
["typ"] = "cislo" },
["tex"] = "\\frac{1232}{7647}",
["y"] = 1232,
["z"] = 7647 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{7}}{16}",
["typ"] = "lomeno" },
["render"] = "15 \\cdot 1\\frac{5}{10} + \\frac{4\\frac{1}{7}}{16}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{6}}{15 \\cdot 1\\frac{5}{10} + \\frac{4\\frac{1}{7}}{16}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.77, bodu=123, $$\frac{-6}{2\frac{3}{11} - 12 - 14} \cdot 2\frac{5}{12}=\textcolor{white}{\frac{11}{18}}$$return {
["body"] = 123,
["id"] = "sISBeF_0410_1524",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 0.61111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 18 },
["render"] = "\\frac{638}{1044}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{18}",
["y"] = 11,
["z"] = 18 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} - 12 - 14",
["typ"] = "minus" },
["render"] = "\\frac{-6}{2\\frac{3}{11} - 12 - 14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{2\\frac{3}{11} - 12 - 14} \\cdot 2\\frac{5}{12}",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.78, bodu=97, $$\frac{-7}{-8 + \frac{2\frac{1}{3}}{\frac{12}{15}} - 15}=\textcolor{white}{\frac{84}{241}}$$return {
["body"] = 97,
["id"] = "KE35Lu_0410_1524",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 0.34854771784232,
["objekt"] = {
["hodnota"] = {
["citatel"] = 84,
["jmenovatel"] = 241 },
["render"] = "\\frac{-84}{-241}",
["typ"] = "cislo" },
["tex"] = "\\frac{84}{241}",
["y"] = 84,
["z"] = 241 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.78",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{12}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{3}}{\\frac{12}{15}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{3}}{\\frac{12}{15}} - 15",
["typ"] = "minus" },
["render"] = "-8 + \\frac{2\\frac{1}{3}}{\\frac{12}{15}} - 15",
["typ"] = "plus" },
["render"] = "\\frac{-7}{-8 + \\frac{2\\frac{1}{3}}{\\frac{12}{15}} - 15}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.79, bodu=190, $$\frac{3\frac{1}{8} - 3\frac{5}{9} + 3}{(7 + 2\frac{5}{9}) \cdot 4\frac{2}{6}}=\textcolor{white}{\frac{555}{8944}}$$return {
["body"] = 190,
["id"] = "J3jwkY_0410_1524",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 0.062052772808587,
["objekt"] = {
["hodnota"] = {
["citatel"] = 555,
["jmenovatel"] = 8944 },
["render"] = "\\frac{4995}{80496}",
["typ"] = "cislo" },
["tex"] = "\\frac{555}{8944}",
["y"] = 555,
["z"] = 8944 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - 3\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - 3\\frac{5}{9} + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(7 + 2\\frac{5}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(7 + 2\\frac{5}{9}) \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{8} - 3\\frac{5}{9} + 3}{(7 + 2\\frac{5}{9}) \\cdot 4\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.8, bodu=128, $$-12 \cdot (-14 - 2\frac{2}{10}) \cdot (17 - (1\frac{3}{8} + 19 + 21))=\textcolor{white}{-4738{,}5}$$return {
["body"] = 128,
["id"] = "n6AlTG_0410_1524",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -4738.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9477,
["jmenovatel"] = 2 },
["render"] = "\\frac{-189540}{40}",
["typ"] = "cislo" },
["tex"] = "-4738\\frac{1}{2}",
["tex_float"] = "-4738{,}5",
["x"] = -4738,
["y"] = 1,
["z"] = 2 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-14 - 2\\frac{2}{10}",
["typ"] = "minus" },
["render"] = "(-14 - 2\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (-14 - 2\\frac{2}{10})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "19 + 21",
["typ"] = "plus" },
["render"] = "1\\frac{3}{8} + 19 + 21",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{8} + 19 + 21)",
["typ"] = "zavorka" },
["render"] = "17 - (1\\frac{3}{8} + 19 + 21)",
["typ"] = "minus" },
["render"] = "(17 - (1\\frac{3}{8} + 19 + 21))",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (-14 - 2\\frac{2}{10}) \\cdot (17 - (1\\frac{3}{8} + 19 + 21))",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.81, bodu=75, $$\frac{-12 \cdot 18}{\frac{\frac{-15}{-17}}{3}}=\textcolor{white}{-734{,}4}$$return {
["body"] = 75,
["id"] = "LnaV27_0410_1524",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -734.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3672,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3672}{5}",
["typ"] = "cislo" },
["tex"] = "-734\\frac{2}{5}",
["tex_float"] = "-734{,}4",
["x"] = -734,
["y"] = 2,
["z"] = 5 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-15}{-17}}{3}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12 \\cdot 18}{\\frac{\\frac{-15}{-17}}{3}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.82, bodu=140, $$\frac{3\frac{5}{6} \cdot 12}{3\frac{5}{13}} \cdot ((-11 + 15) \cdot -3)^2=\textcolor{white}{1957\frac{1}{11}}$$return {
["body"] = 140,
["id"] = "X9NVVd_0410_1524",
["obtiznost"] = 1.278,
["reseni"] = {
["float"] = 1957.0909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21528,
["jmenovatel"] = 11 },
["render"] = "\\frac{43056}{22}",
["typ"] = "cislo" },
["tex"] = "1957\\frac{1}{11}",
["x"] = 1957,
["y"] = 1,
["z"] = 11 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{6} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{6} \\cdot 12}{3\\frac{5}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(-11 + 15)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(-11 + 15) \\cdot -3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-11 + 15) \\cdot -3)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{5}{6} \\cdot 12}{3\\frac{5}{13}} \\cdot ((-11 + 15) \\cdot -3)^2",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.83, bodu=132, $$\frac{-10}{\frac{\frac{20 \cdot -14}{1\frac{2}{11} + 3\frac{1}{7}}}{-9}}=\textcolor{white}{-1\frac{841}{2156}}$$return {
["body"] = 132,
["id"] = "kQfZFP_0410_1524",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -1.3900742115028,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2997,
["jmenovatel"] = 2156 },
["render"] = "\\frac{-29970}{21560}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{841}{2156}",
["x"] = -1,
["y"] = 841,
["z"] = 2156 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "20 \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{11} + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{20 \\cdot -14}{1\\frac{2}{11} + 3\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{20 \\cdot -14}{1\\frac{2}{11} + 3\\frac{1}{7}}}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10}{\\frac{\\frac{20 \\cdot -14}{1\\frac{2}{11} + 3\\frac{1}{7}}}{-9}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.84, bodu=105, $$-13 \cdot (-14 + 2\frac{4}{11} - 12 \cdot (15 - 10))=\textcolor{white}{931\frac{3}{11}}$$return {
["body"] = 105,
["id"] = "28Dgv9_0410_1524",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 931.27272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10244,
["jmenovatel"] = 11 },
["render"] = "\\frac{10244}{11}",
["typ"] = "cislo" },
["tex"] = "931\\frac{3}{11}",
["x"] = 931,
["y"] = 3,
["z"] = 11 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "15 - 10",
["typ"] = "minus" },
["render"] = "(15 - 10)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (15 - 10)",
["typ"] = "krat" },
["render"] = "2\\frac{4}{11} - 12 \\cdot (15 - 10)",
["typ"] = "minus" },
["render"] = "-14 + 2\\frac{4}{11} - 12 \\cdot (15 - 10)",
["typ"] = "plus" },
["render"] = "(-14 + 2\\frac{4}{11} - 12 \\cdot (15 - 10))",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot (-14 + 2\\frac{4}{11} - 12 \\cdot (15 - 10))",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.85, bodu=174, $$(-13 - (-6) - 17)^2 - ((\frac{15}{3\frac{1}{3}} - (-7))^2 + 9)=\textcolor{white}{434{,}75}$$return {
["body"] = 174,
["id"] = "sJilKw_0410_1524",
["obtiznost"] = 1.494,
["reseni"] = {
["float"] = 434.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1739,
["jmenovatel"] = 4 },
["render"] = "\\frac{1739}{4}",
["typ"] = "cislo" },
["tex"] = "434\\frac{3}{4}",
["tex_float"] = "434{,}75",
["x"] = 434,
["y"] = 3,
["z"] = 4 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.85",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-13 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-13 - (-6) - 17",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-13 - (-6) - 17)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{1}{3}} - (-7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{15}{3\\frac{1}{3}} - (-7))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{15}{3\\frac{1}{3}} - (-7))^2 + 9",
["typ"] = "plus" },
["render"] = "((\\frac{15}{3\\frac{1}{3}} - (-7))^2 + 9)",
["typ"] = "zavorka" },
["render"] = "(-13 - (-6) - 17)^2 - ((\\frac{15}{3\\frac{1}{3}} - (-7))^2 + 9)",
["typ"] = "minus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.86, bodu=168, $$(-9 - (-17)) \cdot 2\frac{3}{12} \cdot (3\frac{1}{3} + 13 \cdot 3\frac{2}{7})=\textcolor{white}{828\frac{6}{7}}$$return {
["body"] = 168,
["id"] = "kO5mF5_0410_1524",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = 828.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5802,
["jmenovatel"] = 7 },
["render"] = "\\frac{17406}{21}",
["typ"] = "cislo" },
["tex"] = "828\\frac{6}{7}",
["x"] = 828,
["y"] = 6,
["z"] = 7 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-9 - (-17)",
["typ"] = "minus" },
["render"] = "(-9 - (-17))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "(-9 - (-17)) \\cdot 2\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "3\\frac{1}{3} + 13 \\cdot 3\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{3} + 13 \\cdot 3\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "(-9 - (-17)) \\cdot 2\\frac{3}{12} \\cdot (3\\frac{1}{3} + 13 \\cdot 3\\frac{2}{7})",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.87, bodu=204, $$\frac{-22}{(4\frac{5}{10} - (16 + 1\frac{4}{12})) \cdot \frac{2\frac{1}{5} + 1\frac{3}{8}}{9}}=\textcolor{white}{4\frac{316}{1001}}$$return {
["body"] = 204,
["id"] = "tywu6i_0410_1524",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = 4.3156843156843,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4320,
["jmenovatel"] = 1001 },
["render"] = "\\frac{-47520}{-11011}",
["typ"] = "cislo" },
["tex"] = "4\\frac{316}{1001}",
["x"] = 4,
["y"] = 316,
["z"] = 1001 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "16 + 1\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(16 + 1\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} - (16 + 1\\frac{4}{12})",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{10} - (16 + 1\\frac{4}{12}))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} + 1\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5} + 1\\frac{3}{8}}{9}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{5}{10} - (16 + 1\\frac{4}{12})) \\cdot \\frac{2\\frac{1}{5} + 1\\frac{3}{8}}{9}",
["typ"] = "krat" },
["render"] = "\\frac{-22}{(4\\frac{5}{10} - (16 + 1\\frac{4}{12})) \\cdot \\frac{2\\frac{1}{5} + 1\\frac{3}{8}}{9}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.88, bodu=172, $$13 \cdot (13 \cdot 2\frac{4}{7} - 1\frac{2}{11}) + \frac{2\frac{5}{11}}{9}=\textcolor{white}{419\frac{37}{77}}$$return {
["body"] = 172,
["id"] = "num5oM_0410_1524",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 419.48051948052,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32300,
["jmenovatel"] = 77 },
["render"] = "\\frac{355300}{847}",
["typ"] = "cislo" },
["tex"] = "419\\frac{37}{77}",
["x"] = 419,
["y"] = 37,
["z"] = 77 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 2\\frac{4}{7} - 1\\frac{2}{11}",
["typ"] = "minus" },
["render"] = "(13 \\cdot 2\\frac{4}{7} - 1\\frac{2}{11})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (13 \\cdot 2\\frac{4}{7} - 1\\frac{2}{11})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11}}{9}",
["typ"] = "lomeno" },
["render"] = "13 \\cdot (13 \\cdot 2\\frac{4}{7} - 1\\frac{2}{11}) + \\frac{2\\frac{5}{11}}{9}",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.89, bodu=207, $$(2\frac{4}{7} + (-11 + 16) \cdot 2\frac{4}{11}) \cdot 3\frac{3}{10} \cdot 1\frac{1}{9}=\textcolor{white}{52\frac{16}{21}}$$return {
["body"] = 207,
["id"] = "PbmQV8_0410_1524",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 52.761904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1108,
["jmenovatel"] = 21 },
["render"] = "\\frac{12188}{231}",
["typ"] = "cislo" },
["tex"] = "52\\frac{16}{21}",
["x"] = 52,
["y"] = 16,
["z"] = 21 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-11 + 16",
["typ"] = "plus" },
["render"] = "(-11 + 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "(-11 + 16) \\cdot 2\\frac{4}{11}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{7} + (-11 + 16) \\cdot 2\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{7} + (-11 + 16) \\cdot 2\\frac{4}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} \\cdot 1\\frac{1}{9}",
["typ"] = "krat" },
["render"] = "(2\\frac{4}{7} + (-11 + 16) \\cdot 2\\frac{4}{11}) \\cdot 3\\frac{3}{10} \\cdot 1\\frac{1}{9}",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.9, bodu=245, $$\frac{4\frac{3}{4} + 1\frac{5}{15}}{2\frac{4}{8} \cdot 3\frac{2}{9} + \frac{-15}{16 + 4\frac{1}{3}}}=\textcolor{white}{\frac{13359}{16070}}$$return {
["body"] = 245,
["id"] = "ns5dih_0410_1524",
["obtiznost"] = 1.9,
["reseni"] = {
["float"] = 0.83130056004978,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13359,
["jmenovatel"] = 16070 },
["render"] = "\\frac{80154}{96420}",
["typ"] = "cislo" },
["tex"] = "\\frac{13359}{16070}",
["y"] = 13359,
["z"] = 16070 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{4} + 1\\frac{5}{15}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "16 + 4\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "\\frac{-15}{16 + 4\\frac{1}{3}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{8} \\cdot 3\\frac{2}{9} + \\frac{-15}{16 + 4\\frac{1}{3}}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{3}{4} + 1\\frac{5}{15}}{2\\frac{4}{8} \\cdot 3\\frac{2}{9} + \\frac{-15}{16 + 4\\frac{1}{3}}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.91, bodu=176, $$\frac{2\frac{3}{12} \cdot 2\frac{1}{5}}{-2 \cdot 18} \cdot (-9 + (-13))^2=\textcolor{white}{-66{,}55}$$return {
["body"] = 176,
["id"] = "XH6Ewv_0410_1524",
["obtiznost"] = 1.504,
["reseni"] = {
["float"] = -66.55,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1331,
["jmenovatel"] = 20 },
["render"] = "\\frac{-5324}{80}",
["typ"] = "cislo" },
["tex"] = "-66\\frac{11}{20}",
["tex_float"] = "-66{,}55",
["x"] = -66,
["y"] = 11,
["z"] = 20 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} \\cdot 2\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-2 \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{3}{12} \\cdot 2\\frac{1}{5}}{-2 \\cdot 18}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-9 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-9 + (-13))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{3}{12} \\cdot 2\\frac{1}{5}}{-2 \\cdot 18} \\cdot (-9 + (-13))^2",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.92, bodu=178, $$23 \cdot (3\frac{2}{7} \cdot 1\frac{4}{11} - 2\frac{1}{5}) + (-4 \cdot -6)=\textcolor{white}{76\frac{174}{385}}$$return {
["body"] = 178,
["id"] = "hZEbAE_0410_1524",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = 76.451948051948,
["objekt"] = {
["hodnota"] = {
["citatel"] = 29434,
["jmenovatel"] = 385 },
["render"] = "\\frac{29434}{385}",
["typ"] = "cislo" },
["tex"] = "76\\frac{174}{385}",
["x"] = 76,
["y"] = 174,
["z"] = 385 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot 1\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} \\cdot 1\\frac{4}{11} - 2\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{7} \\cdot 1\\frac{4}{11} - 2\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "23 \\cdot (3\\frac{2}{7} \\cdot 1\\frac{4}{11} - 2\\frac{1}{5})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -6",
["typ"] = "krat" },
["render"] = "23 \\cdot (3\\frac{2}{7} \\cdot 1\\frac{4}{11} - 2\\frac{1}{5}) + (-4 \\cdot -6)",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.93, bodu=214, $$3\frac{1}{4} + 3\frac{3}{7} + \frac{11}{2\frac{5}{10}} + (-13) - (-10 \cdot 1\frac{4}{10})=\textcolor{white}{12\frac{11}{140}}$$return {
["body"] = 214,
["id"] = "avZQYG_0410_1524",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = 12.078571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1691,
["jmenovatel"] = 140 },
["render"] = "\\frac{1691}{140}",
["typ"] = "cislo" },
["tex"] = "12\\frac{11}{140}",
["x"] = 12,
["y"] = 11,
["z"] = 140 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{2\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{7} + \\frac{11}{2\\frac{5}{10}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} + \\frac{11}{2\\frac{5}{10}} + (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 1\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "3\\frac{3}{7} + \\frac{11}{2\\frac{5}{10}} + (-13) - (-10 \\cdot 1\\frac{4}{10})",
["typ"] = "minus" },
["render"] = "3\\frac{1}{4} + 3\\frac{3}{7} + \\frac{11}{2\\frac{5}{10}} + (-13) - (-10 \\cdot 1\\frac{4}{10})",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.94, bodu=181, $$\frac{\frac{1\frac{3}{8}}{-19}}{\frac{-11}{1\frac{3}{6} \cdot 3\frac{2}{10}}}=\textcolor{white}{\frac{3}{95}}$$return {
["body"] = 181,
["id"] = "Mqj6b2_0410_1524",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 0.031578947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 95 },
["render"] = "\\frac{-264}{-8360}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{95}",
["y"] = 3,
["z"] = 95 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8}}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 3\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "\\frac{-11}{1\\frac{3}{6} \\cdot 3\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{1\\frac{3}{8}}{-19}}{\\frac{-11}{1\\frac{3}{6} \\cdot 3\\frac{2}{10}}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.95, bodu=120, $$\frac{4}{2\frac{5}{11}} - (-13 - \frac{-20}{-14}) + 14=\textcolor{white}{30\frac{11}{189}}$$return {
["body"] = 120,
["id"] = "sepEyy_0410_1524",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 30.058201058201,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5681,
["jmenovatel"] = 189 },
["render"] = "\\frac{5681}{189}",
["typ"] = "cislo" },
["tex"] = "30\\frac{11}{189}",
["x"] = 30,
["y"] = 11,
["z"] = 189 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{2\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{-14}",
["typ"] = "lomeno" },
["render"] = "-13 - \\frac{-20}{-14}",
["typ"] = "minus" },
["render"] = "(-13 - \\frac{-20}{-14})",
["typ"] = "zavorka" },
["render"] = "\\frac{4}{2\\frac{5}{11}} - (-13 - \\frac{-20}{-14})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4}{2\\frac{5}{11}} - (-13 - \\frac{-20}{-14}) + 14",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.96, bodu=220, $$\frac{-18 + 4\frac{3}{9} + 2\frac{1}{11}}{1\frac{5}{8} \cdot 8} \cdot 1\frac{3}{10}=\textcolor{white}{-1\frac{26}{165}}$$return {
["body"] = 220,
["id"] = "cG6TBF_0410_1524",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = -1.1575757575758,
["objekt"] = {
["hodnota"] = {
["citatel"] = -191,
["jmenovatel"] = 165 },
["render"] = "\\frac{-4966}{4290}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{26}{165}",
["x"] = -1,
["y"] = 26,
["z"] = 165 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "-18 + 4\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "-18 + 4\\frac{3}{9} + 2\\frac{1}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{-18 + 4\\frac{3}{9} + 2\\frac{1}{11}}{1\\frac{5}{8} \\cdot 8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-18 + 4\\frac{3}{9} + 2\\frac{1}{11}}{1\\frac{5}{8} \\cdot 8} \\cdot 1\\frac{3}{10}",
["typ"] = "krat" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.97, bodu=221, $$\frac{4\frac{4}{9}}{-10} + \frac{1\frac{5}{9}}{5} - \frac{4\frac{4}{9}}{4\frac{5}{14}}=\textcolor{white}{-1\frac{421}{2745}}$$return {
["body"] = 221,
["id"] = "3hIjSv_0410_1524",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = -1.1533697632058,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3166,
["jmenovatel"] = 2745 },
["render"] = "\\frac{-28494}{24705}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{421}{2745}",
["x"] = -1,
["y"] = 421,
["z"] = 2745 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9}}{4\\frac{5}{14}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{9}}{5} - \\frac{4\\frac{4}{9}}{4\\frac{5}{14}}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{4}{9}}{-10} + \\frac{1\\frac{5}{9}}{5} - \\frac{4\\frac{4}{9}}{4\\frac{5}{14}}",
["typ"] = "plus" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.98, bodu=223, $$\frac{4\frac{5}{10} \cdot 4\frac{2}{5}}{11 \cdot 3\frac{2}{8} \cdot 1\frac{2}{7}}=\textcolor{white}{\frac{28}{65}}$$return {
["body"] = 223,
["id"] = "pYafzv_0410_1524",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = 0.43076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 65 },
["render"] = "\\frac{2772}{6435}",
["typ"] = "cislo" },
["tex"] = "\\frac{28}{65}",
["y"] = 28,
["z"] = 65 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} \\cdot 4\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 3\\frac{2}{8} \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{10} \\cdot 4\\frac{2}{5}}{11 \\cdot 3\\frac{2}{8} \\cdot 1\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: 62iSMkCNDv1kt9mJIeAn_0.99, bodu=225, $$\frac{\frac{14}{4\frac{5}{16} + (-19)}}{\frac{1\frac{2}{8}}{3\frac{1}{7}} \cdot 1\frac{2}{10}}=\textcolor{white}{-1\frac{703}{705}}$$return {
["body"] = 225,
["id"] = "TtXd5k_0410_1524",
["obtiznost"] = 1.79,
["reseni"] = {
["float"] = -1.9971631205674,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1408,
["jmenovatel"] = 705 },
["render"] = "\\frac{-9856}{4935}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{703}{705}",
["x"] = -1,
["y"] = 703,
["z"] = 705 },
["seed"] = "62iSMkCNDv1kt9mJIeAn_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 16 },
["render"] = "4\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{16} + (-19)",
["typ"] = "plus" },
["render"] = "\\frac{14}{4\\frac{5}{16} + (-19)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{8}}{3\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{8}}{3\\frac{1}{7}} \\cdot 1\\frac{2}{10}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{14}{4\\frac{5}{16} + (-19)}}{\\frac{1\\frac{2}{8}}{3\\frac{1}{7}} \\cdot 1\\frac{2}{10}}",
["typ"] = "lomeno" } }
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Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
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