- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: NG9XzGWuvWo4Qw48jZyn_0, bodu=18, $$\frac{5}{(8 \cdot (5 - 6)^4)^3}=\textcolor{white}{\frac{5}{512}}$$return {
["body"] = 18,
["id"] = "GVoWlg_1216_0342",
["obtiznost"] = 0.206,
["reseni"] = {
["float"] = 0.009765625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 512 },
["render"] = "\\frac{5}{512}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{512}",
["y"] = 5,
["z"] = 512 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "8 \\cdot (5 - 6)^4",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(8 \\cdot (5 - 6)^4)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{5}{(8 \\cdot (5 - 6)^4)^3}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.01, bodu=5, $$7 + 4 + 2 + 7 - 7=\textcolor{white}{13}$$return {
["body"] = 5,
["id"] = "JvtllC_1216_0342",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "\\frac{13}{1}",
["typ"] = "cislo" },
["tex"] = "13",
["tex_float"] = "13",
["x"] = 13 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "4 + 2",
["typ"] = "plus" },
["render"] = "7 + 4 + 2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 4 + 2 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 4 + 2 + 7 - 7",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.02, bodu=10, $$\frac{4 + 8 \cdot 7}{6}=\textcolor{white}{10}$$return {
["body"] = 10,
["id"] = "hiZqVv_1216_0342",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "\\frac{60}{6}",
["typ"] = "cislo" },
["tex"] = "10",
["tex_float"] = "10",
["x"] = 10 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7",
["typ"] = "krat" },
["render"] = "4 + 8 \\cdot 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4 + 8 \\cdot 7}{6}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.03, bodu=13, $$(11 + 5 - 7)^3 + 8 - 5=\textcolor{white}{732}$$return {
["body"] = 13,
["id"] = "4xcIU8_1216_0342",
["obtiznost"] = 0.322,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 732,
["jmenovatel"] = 1 },
["render"] = "\\frac{732}{1}",
["typ"] = "cislo" },
["tex"] = "732",
["tex_float"] = "732",
["x"] = 732 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 - 7",
["typ"] = "minus" },
["render"] = "11 + 5 - 7",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(11 + 5 - 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(11 + 5 - 7)^3 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(11 + 5 - 7)^3 + 8 - 5",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.04, bodu=10, $$\frac{11}{7} - (7 + 8)=\textcolor{white}{-13\frac{3}{7}}$$return {
["body"] = 10,
["id"] = "AYhwCM_1216_0342",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -13.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -94,
["jmenovatel"] = 7 },
["render"] = "\\frac{-94}{7}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{3}{7}",
["x"] = -13,
["y"] = 3,
["z"] = 7 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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"] = "(7 + 8)",
["typ"] = "zavorka" },
["render"] = "\\frac{11}{7} - (7 + 8)",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.05, bodu=6, $$7 \cdot (5 + 6)^2 - 7=\textcolor{white}{840}$$return {
["body"] = 6,
["id"] = "YtrpM1_1216_0342",
["obtiznost"] = 0.0988,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 840,
["jmenovatel"] = 1 },
["render"] = "\\frac{840}{1}",
["typ"] = "cislo" },
["tex"] = "840",
["x"] = 840 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["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"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 + 6)^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (5 + 6)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot (5 + 6)^2 - 7",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.06, bodu=5, $$4 - 7 + 4 - 5=\textcolor{white}{-4}$$return {
["body"] = 5,
["id"] = "OCEzwF_1216_0342",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4}{1}",
["typ"] = "cislo" },
["tex"] = "-4",
["x"] = -4 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 - 7 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 - 7 + 4 - 5",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.07, bodu=22, $$\frac{8 - 1\frac{3}{6}}{7 - 9}=\textcolor{white}{-3{,}25}$$return {
["body"] = 22,
["id"] = "8zNNfa_1216_0342",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -3.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 4 },
["render"] = "\\frac{13}{-4}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{4}",
["tex_float"] = "-3{,}25",
["x"] = -3,
["y"] = 1,
["z"] = 4 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "8 - 1\\frac{3}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 - 9",
["typ"] = "minus" },
["render"] = "\\frac{8 - 1\\frac{3}{6}}{7 - 9}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.08, bodu=6, $$5 + 2 + 7 + 6 - 6=\textcolor{white}{14}$$return {
["body"] = 6,
["id"] = "PSU6bR_1216_0342",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "\\frac{14}{1}",
["typ"] = "cislo" },
["tex"] = "14",
["tex_float"] = "14",
["x"] = 14 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2 + 7 + 6",
["typ"] = "plus" },
["render"] = "5 + 2 + 7 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 + 2 + 7 + 6 - 6",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.09, bodu=6, $$-4 - 6 - 6 \cdot 9=\textcolor{white}{-64}$$return {
["body"] = 6,
["id"] = "Ne1fQ2_1216_0342",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -64,
["jmenovatel"] = 1 },
["render"] = "\\frac{-64}{1}",
["typ"] = "cislo" },
["tex"] = "-64",
["x"] = -64 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.09",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 \\cdot 9",
["typ"] = "krat" },
["render"] = "-4 - 6 - 6 \\cdot 9",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.1, bodu=24, $$(-8 - (5 + 12)) \cdot 2\frac{2}{6}=\textcolor{white}{-58\frac{1}{3}}$$return {
["body"] = 24,
["id"] = "M7gFCy_1216_0342",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = -58.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -175,
["jmenovatel"] = 3 },
["render"] = "\\frac{-175}{3}",
["typ"] = "cislo" },
["tex"] = "-58\\frac{1}{3}",
["x"] = -58,
["y"] = 1,
["z"] = 3 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.1",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "5 + 12",
["typ"] = "plus" },
["render"] = "(5 + 12)",
["typ"] = "zavorka" },
["render"] = "-8 - (5 + 12)",
["typ"] = "minus" },
["render"] = "(-8 - (5 + 12))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(-8 - (5 + 12)) \\cdot 2\\frac{2}{6}",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.11, bodu=6, $$-4 \cdot (8 - (7 + (-8))^2)=\textcolor{white}{-28}$$return {
["body"] = 6,
["id"] = "b36kS9_1216_0342",
["obtiznost"] = 0.1108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 1 },
["render"] = "\\frac{-28}{1}",
["typ"] = "cislo" },
["tex"] = "-28",
["x"] = -28 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(7 + (-8))^2",
["typ"] = "mocnina" },
["render"] = "8 - (7 + (-8))^2",
["typ"] = "minus" },
["render"] = "(8 - (7 + (-8))^2)",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (8 - (7 + (-8))^2)",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.12, bodu=6, $$6 \cdot 6 - (8 + 9)=\textcolor{white}{19}$$return {
["body"] = 6,
["id"] = "bcSWjK_1216_0342",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "\\frac{19}{1}",
["typ"] = "cislo" },
["tex"] = "19",
["tex_float"] = "19",
["x"] = 19 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["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"] = "plus" },
["render"] = "(8 + 9)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot 6 - (8 + 9)",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.13, bodu=14, $$6 + \frac{9}{8} - (-12)=\textcolor{white}{19{,}125}$$return {
["body"] = 14,
["id"] = "biqh57_1216_0342",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 19.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 153,
["jmenovatel"] = 8 },
["render"] = "\\frac{153}{8}",
["typ"] = "cislo" },
["tex"] = "19\\frac{1}{8}",
["tex_float"] = "19{,}125",
["x"] = 19,
["y"] = 1,
["z"] = 8 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{9}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "6 + \\frac{9}{8} - (-12)",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.14, bodu=7, $$7 - 11 - 9 \cdot 8=\textcolor{white}{-76}$$return {
["body"] = 7,
["id"] = "hXx7ln_1216_0342",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -76,
["jmenovatel"] = 1 },
["render"] = "\\frac{-76}{1}",
["typ"] = "cislo" },
["tex"] = "-76",
["x"] = -76 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8",
["typ"] = "krat" },
["render"] = "7 - 11 - 9 \\cdot 8",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.15, bodu=28, $$\frac{-9}{3\frac{3}{6}} \cdot (12 - 6)=\textcolor{white}{-15\frac{3}{7}}$$return {
["body"] = 28,
["id"] = "rdFqEX_1216_0342",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -15.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 7 },
["render"] = "\\frac{-108}{7}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{3}{7}",
["x"] = -15,
["y"] = 3,
["z"] = 7 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 - 6",
["typ"] = "minus" },
["render"] = "(12 - 6)",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{3\\frac{3}{6}} \\cdot (12 - 6)",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.16, bodu=15, $$5 + 5 + \frac{7}{-6}=\textcolor{white}{8\frac{5}{6}}$$return {
["body"] = 15,
["id"] = "cMsP8G_1216_0342",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 8.8333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 6 },
["render"] = "\\frac{53}{6}",
["typ"] = "cislo" },
["tex"] = "8\\frac{5}{6}",
["x"] = 8,
["y"] = 5,
["z"] = 6 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-6}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{7}{-6}",
["typ"] = "plus" },
["render"] = "5 + 5 + \\frac{7}{-6}",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.17, bodu=16, $$\frac{5 + 5}{6 \cdot 4}=\textcolor{white}{\frac{5}{12}}$$return {
["body"] = 16,
["id"] = "r8dzil_1216_0342",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 0.41666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 12 },
["render"] = "\\frac{10}{24}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{12}",
["y"] = 5,
["z"] = 12 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.17",
["zadani"] = {
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{5 + 5}{6 \\cdot 4}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.18, bodu=42, $$12 \cdot (3 + 1\frac{1}{4})^2 \cdot 9=\textcolor{white}{1950{,}75}$$return {
["body"] = 42,
["id"] = "1yQdg4_1216_0342",
["obtiznost"] = 0.502,
["reseni"] = {
["float"] = 1950.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7803,
["jmenovatel"] = 4 },
["render"] = "\\frac{7803}{4}",
["typ"] = "cislo" },
["tex"] = "1950\\frac{3}{4}",
["tex_float"] = "1950{,}75",
["x"] = 1950,
["y"] = 3,
["z"] = 4 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "3 + 1\\frac{1}{4}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3 + 1\\frac{1}{4})^2",
["typ"] = "mocnina" },
["render"] = "12 \\cdot (3 + 1\\frac{1}{4})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 \\cdot (3 + 1\\frac{1}{4})^2 \\cdot 9",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.19, bodu=31, $$-6 \cdot 5 + 8 + 1\frac{3}{6}=\textcolor{white}{-20{,}5}$$return {
["body"] = 31,
["id"] = "ofhiL2_1216_0342",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -20.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -41,
["jmenovatel"] = 2 },
["render"] = "\\frac{-41}{2}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{1}{2}",
["tex_float"] = "-20{,}5",
["x"] = -20,
["y"] = 1,
["z"] = 2 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 5 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 5 + 8 + 1\\frac{3}{6}",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.2, bodu=57, $$\frac{11}{\frac{(\frac{6}{2\frac{2}{5}})^4}{7}}=\textcolor{white}{1\frac{607}{625}}$$return {
["body"] = 57,
["id"] = "dcqvCz_1216_0342",
["obtiznost"] = 0.6564,
["reseni"] = {
["float"] = 1.9712,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1232,
["jmenovatel"] = 625 },
["render"] = "\\frac{1232}{625}",
["typ"] = "cislo" },
["tex"] = "1\\frac{607}{625}",
["x"] = 1,
["y"] = 607,
["z"] = 625 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{2}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6}{2\\frac{2}{5}})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{6}{2\\frac{2}{5}})^4}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{(\\frac{6}{2\\frac{2}{5}})^4}{7}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.21, bodu=38, $$\frac{(\frac{9}{-7})^2}{4\frac{4}{7} - 11}=\textcolor{white}{-\frac{9}{35}}$$return {
["body"] = 38,
["id"] = "isAPa3_1216_0342",
["obtiznost"] = 0.462,
["reseni"] = {
["float"] = -0.25714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 35 },
["render"] = "\\frac{567}{-2205}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{35}",
["y"] = -9,
["z"] = 35 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.21",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{-7})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} - 11",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{9}{-7})^2}{4\\frac{4}{7} - 11}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.22, bodu=19, $$\frac{\frac{14}{7}}{7} \cdot 11=\textcolor{white}{3\frac{1}{7}}$$return {
["body"] = 19,
["id"] = "Rko6G8_1216_0342",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 3.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "\\frac{22}{7}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{7}",
["x"] = 3,
["y"] = 1,
["z"] = 7 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{14}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14}{7}}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14}{7}}{7} \\cdot 11",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.23, bodu=35, $$3\frac{3}{5} \cdot 6 \cdot 10 + 13=\textcolor{white}{229}$$return {
["body"] = 35,
["id"] = "ujfJv6_1216_0342",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 229,
["jmenovatel"] = 1 },
["render"] = "\\frac{229}{1}",
["typ"] = "cislo" },
["tex"] = "229",
["tex_float"] = "229",
["x"] = 229 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 \\cdot 10",
["typ"] = "krat" },
["render"] = "3\\frac{3}{5} \\cdot 6 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} \\cdot 6 \\cdot 10 + 13",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.24, bodu=56, $$\frac{2\frac{5}{7} \cdot 4}{\frac{4\frac{2}{7}}{13}}=\textcolor{white}{32\frac{14}{15}}$$return {
["body"] = 56,
["id"] = "fJXD90_1216_0342",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = 32.933333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 494,
["jmenovatel"] = 15 },
["render"] = "\\frac{6916}{210}",
["typ"] = "cislo" },
["tex"] = "32\\frac{14}{15}",
["x"] = 32,
["y"] = 14,
["z"] = 15 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{5}{7} \\cdot 4}{\\frac{4\\frac{2}{7}}{13}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.25, bodu=50, $$13 \cdot ((\frac{7}{8})^3 + 7)=\textcolor{white}{99\frac{363}{512}}$$return {
["body"] = 50,
["id"] = "Ya6BRj_1216_0342",
["obtiznost"] = 0.592,
["reseni"] = {
["float"] = 99.708984375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51051,
["jmenovatel"] = 512 },
["render"] = "\\frac{51051}{512}",
["typ"] = "cislo" },
["tex"] = "99\\frac{363}{512}",
["x"] = 99,
["y"] = 363,
["z"] = 512 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{7}{8})^3 + 7",
["typ"] = "plus" },
["render"] = "((\\frac{7}{8})^3 + 7)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot ((\\frac{7}{8})^3 + 7)",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.26, bodu=10, $$5 - 10 - (-5 \cdot 12)=\textcolor{white}{55}$$return {
["body"] = 10,
["id"] = "n3mRQI_1216_0342",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 1 },
["render"] = "\\frac{55}{1}",
["typ"] = "cislo" },
["tex"] = "55",
["x"] = 55 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 - 10",
["typ"] = "minus" },
["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"] = "5 - 10 - (-5 \\cdot 12)",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.27, bodu=22, $$\frac{4 \cdot 9}{-2} + 4=\textcolor{white}{-14}$$return {
["body"] = 22,
["id"] = "6fpoQi_1216_0342",
["obtiznost"] = 0.27,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "\\frac{-14}{1}",
["typ"] = "cislo" },
["tex"] = "-14",
["x"] = -14 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 9}{-2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 9}{-2} + 4",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.28, bodu=39, $$-10 - (-13) + (-6 \cdot (1\frac{1}{6} + 4))=\textcolor{white}{-28}$$return {
["body"] = 39,
["id"] = "gEZmgz_1216_0342",
["obtiznost"] = 0.48,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 1 },
["render"] = "\\frac{-28}{1}",
["typ"] = "cislo" },
["tex"] = "-28",
["x"] = -28 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-10 - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + 4",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{6} + 4)",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (1\\frac{1}{6} + 4)",
["typ"] = "krat" },
["render"] = "-10 - (-13) + (-6 \\cdot (1\\frac{1}{6} + 4))",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.29, bodu=24, $$\frac{(-6 - (-9))^3 + 8}{\frac{-14}{10}}=\textcolor{white}{-25}$$return {
["body"] = 24,
["id"] = "lnFMy9_1216_0342",
["obtiznost"] = 0.3012,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 1 },
["render"] = "\\frac{175}{-7}",
["typ"] = "cislo" },
["tex"] = "-25",
["tex_float"] = "-25",
["x"] = -25 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-6 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-6 - (-9))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-6 - (-9))^3 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-6 - (-9))^3 + 8}{\\frac{-14}{10}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.3, bodu=24, $$(8 + 10) \cdot (\frac{10}{7} + 7)=\textcolor{white}{151\frac{5}{7}}$$return {
["body"] = 24,
["id"] = "1uSpHe_1216_0342",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 151.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1062,
["jmenovatel"] = 7 },
["render"] = "\\frac{1062}{7}",
["typ"] = "cislo" },
["tex"] = "151\\frac{5}{7}",
["x"] = 151,
["y"] = 5,
["z"] = 7 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 + 10",
["typ"] = "plus" },
["render"] = "(8 + 10)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7} + 7",
["typ"] = "plus" },
["render"] = "(\\frac{10}{7} + 7)",
["typ"] = "zavorka" },
["render"] = "(8 + 10) \\cdot (\\frac{10}{7} + 7)",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.31, bodu=13, $$12 - (13 - (6 + 11))^2 - 9=\textcolor{white}{-13}$$return {
["body"] = 13,
["id"] = "AirMXz_1216_0342",
["obtiznost"] = 0.3168,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13}{1}",
["typ"] = "cislo" },
["tex"] = "-13",
["x"] = -13 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 + 11",
["typ"] = "plus" },
["render"] = "(6 + 11)",
["typ"] = "zavorka" },
["render"] = "13 - (6 + 11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - (6 + 11))^2",
["typ"] = "mocnina" },
["render"] = "12 - (13 - (6 + 11))^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 - (13 - (6 + 11))^2 - 9",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.32, bodu=43, $$1\frac{4}{9} + (-9 + (-12) - (9 - 8)^4)=\textcolor{white}{-20\frac{5}{9}}$$return {
["body"] = 43,
["id"] = "OPXqSc_1216_0342",
["obtiznost"] = 0.5208,
["reseni"] = {
["float"] = -20.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -185,
["jmenovatel"] = 9 },
["render"] = "\\frac{-185}{9}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{5}{9}",
["x"] = -20,
["y"] = 5,
["z"] = 9 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-9 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - 8)^4",
["typ"] = "mocnina" },
["render"] = "-9 + (-12) - (9 - 8)^4",
["typ"] = "minus" },
["render"] = "1\\frac{4}{9} + (-9 + (-12) - (9 - 8)^4)",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.33, bodu=13, $$10 \cdot -6 + 12 - (-3 + 3)=\textcolor{white}{-48}$$return {
["body"] = 13,
["id"] = "xWgkjF_1216_0342",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{1}",
["typ"] = "cislo" },
["tex"] = "-48",
["x"] = -48 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.33",
["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 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 \\cdot -6 + 12",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-3 + 3",
["typ"] = "plus" },
["render"] = "(-3 + 3)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot -6 + 12 - (-3 + 3)",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.34, bodu=27, $$(-8 + 11)^2 \cdot ((6 - 3 + 6)^3 + 6)=\textcolor{white}{6615}$$return {
["body"] = 27,
["id"] = "3yDLZf_1216_0342",
["obtiznost"] = 0.636,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6615,
["jmenovatel"] = 1 },
["render"] = "\\frac{6615}{1}",
["typ"] = "cislo" },
["tex"] = "6615",
["x"] = 6615 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.34",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-8 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 - 3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 3 + 6",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 - 3 + 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(6 - 3 + 6)^3 + 6",
["typ"] = "plus" },
["render"] = "((6 - 3 + 6)^3 + 6)",
["typ"] = "zavorka" },
["render"] = "(-8 + 11)^2 \\cdot ((6 - 3 + 6)^3 + 6)",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.35, bodu=28, $$\frac{\frac{-5}{14}}{\frac{11}{13}}=\textcolor{white}{-\frac{65}{154}}$$return {
["body"] = 28,
["id"] = "pQMqfc_1216_0342",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -0.42207792207792,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 154 },
["render"] = "\\frac{-65}{154}",
["typ"] = "cislo" },
["tex"] = "-\\frac{65}{154}",
["y"] = -65,
["z"] = 154 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{11}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-5}{14}}{\\frac{11}{13}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.36, bodu=47, $$(14 \cdot 11 + 3\frac{5}{10} - (-6)) \cdot 9=\textcolor{white}{1471{,}5}$$return {
["body"] = 47,
["id"] = "LNTVFZ_1216_0342",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = 1471.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2943,
["jmenovatel"] = 2 },
["render"] = "\\frac{2943}{2}",
["typ"] = "cislo" },
["tex"] = "1471\\frac{1}{2}",
["tex_float"] = "1471{,}5",
["x"] = 1471,
["y"] = 1,
["z"] = 2 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.36",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - (-6)",
["typ"] = "minus" },
["render"] = "14 \\cdot 11 + 3\\frac{5}{10} - (-6)",
["typ"] = "plus" },
["render"] = "(14 \\cdot 11 + 3\\frac{5}{10} - (-6))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(14 \\cdot 11 + 3\\frac{5}{10} - (-6)) \\cdot 9",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.37, bodu=53, $$-8 + (\frac{-7}{2 \cdot 12})^2=\textcolor{white}{-7\frac{527}{576}}$$return {
["body"] = 53,
["id"] = "4ptv5E_1216_0342",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = -7.9149305555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4559,
["jmenovatel"] = 576 },
["render"] = "\\frac{-4559}{576}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{527}{576}",
["x"] = -7,
["y"] = 527,
["z"] = 576 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2 \\cdot 12",
["typ"] = "krat" },
["render"] = "\\frac{-7}{2 \\cdot 12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7}{2 \\cdot 12})^2",
["typ"] = "mocnina" },
["render"] = "-8 + (\\frac{-7}{2 \\cdot 12})^2",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.38, bodu=55, $$\frac{6}{-4 + (5 - 10)^4 \cdot 5}=\textcolor{white}{\frac{6}{3121}}$$return {
["body"] = 55,
["id"] = "aiVIge_1216_0342",
["obtiznost"] = 0.6304,
["reseni"] = {
["float"] = 0.0019224607497597,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 3121 },
["render"] = "\\frac{6}{3121}",
["typ"] = "cislo" },
["tex"] = "\\frac{6}{3121}",
["y"] = 6,
["z"] = 3121 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 - 10",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 10)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(5 - 10)^4 \\cdot 5",
["typ"] = "krat" },
["render"] = "-4 + (5 - 10)^4 \\cdot 5",
["typ"] = "plus" },
["render"] = "\\frac{6}{-4 + (5 - 10)^4 \\cdot 5}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.39, bodu=50, $$\frac{2\frac{2}{4} + (-4 - 9) \cdot -12}{5}=\textcolor{white}{31{,}7}$$return {
["body"] = 50,
["id"] = "TtXl6e_1216_0342",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 31.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 317,
["jmenovatel"] = 10 },
["render"] = "\\frac{317}{10}",
["typ"] = "cislo" },
["tex"] = "31\\frac{7}{10}",
["tex_float"] = "31{,}7",
["x"] = 31,
["y"] = 7,
["z"] = 10 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-4 - 9",
["typ"] = "minus" },
["render"] = "(-4 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(-4 - 9) \\cdot -12",
["typ"] = "krat" },
["render"] = "2\\frac{2}{4} + (-4 - 9) \\cdot -12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{4} + (-4 - 9) \\cdot -12}{5}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.4, bodu=51, $$\frac{-5 - 3\frac{4}{7}}{6} \cdot 12 \cdot 6=\textcolor{white}{-102\frac{6}{7}}$$return {
["body"] = 51,
["id"] = "hMlxeq_1216_0342",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -102.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -720,
["jmenovatel"] = 7 },
["render"] = "\\frac{-720}{7}",
["typ"] = "cislo" },
["tex"] = "-102\\frac{6}{7}",
["x"] = -102,
["y"] = 6,
["z"] = 7 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-5 - 3\\frac{4}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-5 - 3\\frac{4}{7}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{-5 - 3\\frac{4}{7}}{6} \\cdot 12 \\cdot 6",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.41, bodu=52, $$(13 + 13 \cdot -10) \cdot 2\frac{2}{8} \cdot 12=\textcolor{white}{-3159}$$return {
["body"] = 52,
["id"] = "oLAfi1_1216_0342",
["obtiznost"] = 0.61,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3159,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3159}{1}",
["typ"] = "cislo" },
["tex"] = "-3159",
["tex_float"] = "-3159",
["x"] = -3159 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.41",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "13 \\cdot -10",
["typ"] = "krat" },
["render"] = "13 + 13 \\cdot -10",
["typ"] = "plus" },
["render"] = "(13 + 13 \\cdot -10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot 12",
["typ"] = "krat" },
["render"] = "(13 + 13 \\cdot -10) \\cdot 2\\frac{2}{8} \\cdot 12",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.42, bodu=47, $$\frac{-10}{(\frac{\frac{-10}{-6}}{-6})^2}=\textcolor{white}{-129{,}6}$$return {
["body"] = 47,
["id"] = "ZcAOun_1216_0342",
["obtiznost"] = 0.5596,
["reseni"] = {
["float"] = -129.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -648,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3240}{25}",
["typ"] = "cislo" },
["tex"] = "-129\\frac{3}{5}",
["tex_float"] = "-129{,}6",
["x"] = -129,
["y"] = 3,
["z"] = 5 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{-6}}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{-10}{-6}}{-6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-10}{(\\frac{\\frac{-10}{-6}}{-6})^2}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.43, bodu=17, $$-9 \cdot 15 \cdot 12 \cdot 10=\textcolor{white}{-16200}$$return {
["body"] = 17,
["id"] = "aQbkxe_1216_0342",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -16200,
["jmenovatel"] = 1 },
["render"] = "\\frac{-16200}{1}",
["typ"] = "cislo" },
["tex"] = "-16200",
["tex_float"] = "-16200",
["x"] = -16200 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "15 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "15 \\cdot 12 \\cdot 10",
["typ"] = "krat" },
["render"] = "-9 \\cdot 15 \\cdot 12 \\cdot 10",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.44, bodu=105, $$9 - 3\frac{2}{6} \cdot 3\frac{2}{6} + \frac{13}{2\frac{4}{7}}=\textcolor{white}{2\frac{17}{18}}$$return {
["body"] = 105,
["id"] = "Cv6LQz_1216_0342",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 2.9444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 18 },
["render"] = "\\frac{477}{162}",
["typ"] = "cislo" },
["tex"] = "2\\frac{17}{18}",
["x"] = 2,
["y"] = 17,
["z"] = 18 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "9 - 3\\frac{2}{6} \\cdot 3\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "9 - 3\\frac{2}{6} \\cdot 3\\frac{2}{6} + \\frac{13}{2\\frac{4}{7}}",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.45, bodu=58, $$(\frac{7 - 4}{\frac{8}{14} \cdot -14})^3=\textcolor{white}{-\frac{27}{512}}$$return {
["body"] = 58,
["id"] = "1maovM_1216_0342",
["obtiznost"] = 0.6656,
["reseni"] = {
["float"] = -0.052734375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 512 },
["render"] = "\\frac{-27}{512}",
["typ"] = "cislo" },
["tex"] = "-\\frac{27}{512}",
["y"] = -27,
["z"] = 512 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.45",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 - 4",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{8}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{8}{14} \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{7 - 4}{\\frac{8}{14} \\cdot -14}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7 - 4}{\\frac{8}{14} \\cdot -14})^3",
["typ"] = "mocnina" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.46, bodu=78, $$((6 \cdot 3\frac{2}{4})^2 - (11 + (-12))) \cdot (11 + 8)=\textcolor{white}{8398}$$return {
["body"] = 78,
["id"] = "GB7b6b_1216_0342",
["obtiznost"] = 0.8368,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8398,
["jmenovatel"] = 1 },
["render"] = "\\frac{8398}{1}",
["typ"] = "cislo" },
["tex"] = "8398",
["x"] = 8398 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.46",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot 3\\frac{2}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "11 + (-12)",
["typ"] = "plus" },
["render"] = "(11 + (-12))",
["typ"] = "zavorka" },
["render"] = "(6 \\cdot 3\\frac{2}{4})^2 - (11 + (-12))",
["typ"] = "minus" },
["render"] = "((6 \\cdot 3\\frac{2}{4})^2 - (11 + (-12)))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 + 8",
["typ"] = "plus" },
["render"] = "(11 + 8)",
["typ"] = "zavorka" },
["render"] = "((6 \\cdot 3\\frac{2}{4})^2 - (11 + (-12))) \\cdot (11 + 8)",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.47, bodu=38, $$\frac{-7}{(11 - 3) \cdot (-9 + (-7))}=\textcolor{white}{\frac{7}{128}}$$return {
["body"] = 38,
["id"] = "GE1fLz_1216_0342",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 0.0546875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 128 },
["render"] = "\\frac{-7}{-128}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{128}",
["y"] = 7,
["z"] = 128 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "11 - 3",
["typ"] = "minus" },
["render"] = "(11 - 3)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-9 + (-7)",
["typ"] = "plus" },
["render"] = "(-9 + (-7))",
["typ"] = "zavorka" },
["render"] = "(11 - 3) \\cdot (-9 + (-7))",
["typ"] = "krat" },
["render"] = "\\frac{-7}{(11 - 3) \\cdot (-9 + (-7))}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.48, bodu=60, $$\frac{\frac{-14 \cdot 8}{15 + 1\frac{5}{8}}}{14}=\textcolor{white}{-\frac{64}{133}}$$return {
["body"] = 60,
["id"] = "2woQDt_1216_0342",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -0.4812030075188,
["objekt"] = {
["hodnota"] = {
["citatel"] = -64,
["jmenovatel"] = 133 },
["render"] = "\\frac{-128}{266}",
["typ"] = "cislo" },
["tex"] = "-\\frac{64}{133}",
["y"] = -64,
["z"] = 133 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.48",
["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 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "15 + 1\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-14 \\cdot 8}{15 + 1\\frac{5}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-14 \\cdot 8}{15 + 1\\frac{5}{8}}}{14}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.49, bodu=33, $$(12 - (-10) + (5 - 6)^3 + (-5) + 9)^2=\textcolor{white}{625}$$return {
["body"] = 33,
["id"] = "HoQKo5_1216_0342",
["obtiznost"] = 0.7412,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 1 },
["render"] = "\\frac{625}{1}",
["typ"] = "cislo" },
["tex"] = "625",
["tex_float"] = "625",
["x"] = 625 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.49",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 - (-10)",
["typ"] = "minus" },
["c2"] = {
["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"] = 3,
["render"] = "(5 - 6)^3",
["typ"] = "mocnina" },
["render"] = "12 - (-10) + (5 - 6)^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "12 - (-10) + (5 - 6)^3 + (-5)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 - (-10) + (5 - 6)^3 + (-5) + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 - (-10) + (5 - 6)^3 + (-5) + 9)^2",
["typ"] = "mocnina" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.5, bodu=86, $$\frac{-4}{4} + \frac{3\frac{2}{7}}{12} + 1\frac{3}{10}=\textcolor{white}{\frac{241}{420}}$$return {
["body"] = 86,
["id"] = "FB0sjr_1216_0342",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 0.57380952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = 241,
["jmenovatel"] = 420 },
["render"] = "\\frac{241}{420}",
["typ"] = "cislo" },
["tex"] = "\\frac{241}{420}",
["y"] = 241,
["z"] = 420 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{12} + 1\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-4}{4} + \\frac{3\\frac{2}{7}}{12} + 1\\frac{3}{10}",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.51, bodu=22, $$(-10 + 13 + (-11))^2 \cdot 4 + (9 - 8)^4=\textcolor{white}{257}$$return {
["body"] = 22,
["id"] = "xMf3wH_1216_0342",
["obtiznost"] = 0.5368,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 257,
["jmenovatel"] = 1 },
["render"] = "\\frac{257}{1}",
["typ"] = "cislo" },
["tex"] = "257",
["x"] = 257 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 + 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-10 + 13 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + 13 + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(-10 + 13 + (-11))^2 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - 8)^4",
["typ"] = "mocnina" },
["render"] = "(-10 + 13 + (-11))^2 \\cdot 4 + (9 - 8)^4",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.52, bodu=68, $$4\frac{4}{8} - (9 + 6 \cdot 7 + (8 + (-11))^4)=\textcolor{white}{-127{,}5}$$return {
["body"] = 68,
["id"] = "FKCv5n_1216_0342",
["obtiznost"] = 0.7528,
["reseni"] = {
["float"] = -127.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -255,
["jmenovatel"] = 2 },
["render"] = "\\frac{-255}{2}",
["typ"] = "cislo" },
["tex"] = "-127\\frac{1}{2}",
["tex_float"] = "-127{,}5",
["x"] = -127,
["y"] = 1,
["z"] = 2 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 7",
["typ"] = "krat" },
["render"] = "9 + 6 \\cdot 7",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(8 + (-11))^4",
["typ"] = "mocnina" },
["render"] = "9 + 6 \\cdot 7 + (8 + (-11))^4",
["typ"] = "plus" },
["render"] = "(9 + 6 \\cdot 7 + (8 + (-11))^4)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{8} - (9 + 6 \\cdot 7 + (8 + (-11))^4)",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.53, bodu=118, $$2\frac{3}{5} + 5 - (1\frac{3}{6} \cdot 4\frac{5}{7} + 10) + (-10)=\textcolor{white}{-19\frac{33}{70}}$$return {
["body"] = 118,
["id"] = "o26IvO_1216_0342",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -19.471428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1363,
["jmenovatel"] = 70 },
["render"] = "\\frac{-1363}{70}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{33}{70}",
["x"] = -19,
["y"] = 33,
["z"] = 70 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} + 5",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 4\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 4\\frac{5}{7} + 10",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{6} \\cdot 4\\frac{5}{7} + 10)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{5} + 5 - (1\\frac{3}{6} \\cdot 4\\frac{5}{7} + 10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} + 5 - (1\\frac{3}{6} \\cdot 4\\frac{5}{7} + 10) + (-10)",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.54, bodu=67, $$-13 - 9 + \frac{-8}{-16} - 4\frac{5}{7}=\textcolor{white}{-26\frac{3}{14}}$$return {
["body"] = 67,
["id"] = "8AlKIi_1216_0342",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -26.214285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -367,
["jmenovatel"] = 14 },
["render"] = "\\frac{-367}{14}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{3}{14}",
["x"] = -26,
["y"] = 3,
["z"] = 14 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-13 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-16}",
["typ"] = "lomeno" },
["render"] = "-13 - 9 + \\frac{-8}{-16}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-13 - 9 + \\frac{-8}{-16} - 4\\frac{5}{7}",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.55, bodu=68, $$\frac{-7}{-15 \cdot \frac{16}{4\frac{2}{5}}}=\textcolor{white}{\frac{77}{600}}$$return {
["body"] = 68,
["id"] = "RCvhf5_1216_0342",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 0.12833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 600 },
["render"] = "\\frac{-77}{-600}",
["typ"] = "cislo" },
["tex"] = "\\frac{77}{600}",
["y"] = 77,
["z"] = 600 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["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"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot \\frac{16}{4\\frac{2}{5}}",
["typ"] = "krat" },
["render"] = "\\frac{-7}{-15 \\cdot \\frac{16}{4\\frac{2}{5}}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.56, bodu=52, $$-8 - \frac{4 + (-12)}{(15 - 10)^3}=\textcolor{white}{-7{,}936}$$return {
["body"] = 52,
["id"] = "9T15PX_1216_0342",
["obtiznost"] = 0.6104,
["reseni"] = {
["float"] = -7.936,
["objekt"] = {
["hodnota"] = {
["citatel"] = -992,
["jmenovatel"] = 125 },
["render"] = "\\frac{-992}{125}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{117}{125}",
["tex_float"] = "-7{,}936",
["x"] = -7,
["y"] = 117,
["z"] = 125 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(15 - 10)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{4 + (-12)}{(15 - 10)^3}",
["typ"] = "lomeno" },
["render"] = "-8 - \\frac{4 + (-12)}{(15 - 10)^3}",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.57, bodu=95, $$(10 + \frac{9}{4\frac{2}{6}}) \cdot 12 \cdot 2\frac{5}{7}=\textcolor{white}{393\frac{33}{91}}$$return {
["body"] = 95,
["id"] = "9LPCON_1216_0342",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 393.36263736264,
["objekt"] = {
["hodnota"] = {
["citatel"] = 35796,
["jmenovatel"] = 91 },
["render"] = "\\frac{35796}{91}",
["typ"] = "cislo" },
["tex"] = "393\\frac{33}{91}",
["x"] = 393,
["y"] = 33,
["z"] = 91 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{9}{4\\frac{2}{6}}",
["typ"] = "plus" },
["render"] = "(10 + \\frac{9}{4\\frac{2}{6}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(10 + \\frac{9}{4\\frac{2}{6}}) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "(10 + \\frac{9}{4\\frac{2}{6}}) \\cdot 12 \\cdot 2\\frac{5}{7}",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.58, bodu=128, $$5 \cdot \frac{(15 - 3\frac{1}{4} \cdot 3\frac{1}{5})^2}{11}=\textcolor{white}{9\frac{34}{55}}$$return {
["body"] = 128,
["id"] = "zbB8LA_1216_0342",
["obtiznost"] = 1.2016,
["reseni"] = {
["float"] = 9.6181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 529,
["jmenovatel"] = 55 },
["render"] = "\\frac{2645}{275}",
["typ"] = "cislo" },
["tex"] = "9\\frac{34}{55}",
["x"] = 9,
["y"] = 34,
["z"] = 55 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "15 - 3\\frac{1}{4} \\cdot 3\\frac{1}{5}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(15 - 3\\frac{1}{4} \\cdot 3\\frac{1}{5})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(15 - 3\\frac{1}{4} \\cdot 3\\frac{1}{5})^2}{11}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot \\frac{(15 - 3\\frac{1}{4} \\cdot 3\\frac{1}{5})^2}{11}",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.59, bodu=77, $$\frac{(-14 + 10)^2}{(9 + (-13))^3 \cdot 3\frac{4}{6} + (-13)}=\textcolor{white}{-\frac{48}{743}}$$return {
["body"] = 77,
["id"] = "FcAAtD_1216_0342",
["obtiznost"] = 0.8228,
["reseni"] = {
["float"] = -0.064602960969044,
["objekt"] = {
["hodnota"] = {
["citatel"] = -48,
["jmenovatel"] = 743 },
["render"] = "\\frac{48}{-743}",
["typ"] = "cislo" },
["tex"] = "-\\frac{48}{743}",
["y"] = -48,
["z"] = 743 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.59",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["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"] = 3,
["render"] = "(9 + (-13))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "(9 + (-13))^3 \\cdot 3\\frac{4}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(9 + (-13))^3 \\cdot 3\\frac{4}{6} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{(-14 + 10)^2}{(9 + (-13))^3 \\cdot 3\\frac{4}{6} + (-13)}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.6, bodu=100, $$(2\frac{4}{9} - (-10)) \cdot (\frac{3\frac{5}{11}}{19} - 4)=\textcolor{white}{-47\frac{17}{33}}$$return {
["body"] = 100,
["id"] = "CC6ReH_1216_0342",
["obtiznost"] = 1,
["reseni"] = {
["float"] = -47.515151515152,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1568,
["jmenovatel"] = 33 },
["render"] = "\\frac{-4704}{99}",
["typ"] = "cislo" },
["tex"] = "-47\\frac{17}{33}",
["x"] = -47,
["y"] = 17,
["z"] = 33 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.6",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - (-10)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{9} - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{11}}{19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{11}}{19} - 4",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{5}{11}}{19} - 4)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{4}{9} - (-10)) \\cdot (\\frac{3\\frac{5}{11}}{19} - 4)",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.61, bodu=26, $$-6 \cdot (14 - (-17 + (-4))) + 11 - (-5)=\textcolor{white}{-194}$$return {
["body"] = 26,
["id"] = "flzJBc_1216_0342",
["obtiznost"] = 0.61,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -194,
["jmenovatel"] = 1 },
["render"] = "\\frac{-194}{1}",
["typ"] = "cislo" },
["tex"] = "-194",
["tex_float"] = "-194",
["x"] = -194 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-17 + (-4)",
["typ"] = "plus" },
["render"] = "(-17 + (-4))",
["typ"] = "zavorka" },
["render"] = "14 - (-17 + (-4))",
["typ"] = "minus" },
["render"] = "(14 - (-17 + (-4)))",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (14 - (-17 + (-4)))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-6 \\cdot (14 - (-17 + (-4))) + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-6 \\cdot (14 - (-17 + (-4))) + 11 - (-5)",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.62, bodu=118, $$(3 - (-11)) \cdot 3\frac{2}{6} + (15 + 13)^2 - 12=\textcolor{white}{818\frac{2}{3}}$$return {
["body"] = 118,
["id"] = "XWeDi5_1216_0342",
["obtiznost"] = 1.134,
["reseni"] = {
["float"] = 818.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2456,
["jmenovatel"] = 3 },
["render"] = "\\frac{2456}{3}",
["typ"] = "cislo" },
["tex"] = "818\\frac{2}{3}",
["x"] = 818,
["y"] = 2,
["z"] = 3 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3 - (-11)",
["typ"] = "minus" },
["render"] = "(3 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(3 - (-11)) \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "15 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(15 + 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(15 + 13)^2 - 12",
["typ"] = "minus" },
["render"] = "(3 - (-11)) \\cdot 3\\frac{2}{6} + (15 + 13)^2 - 12",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.63, bodu=104, $$4\frac{3}{8} \cdot -12 - (-15 + \frac{2 + 1\frac{3}{8}}{-9})=\textcolor{white}{-37{,}125}$$return {
["body"] = 104,
["id"] = "WBoGEH_1216_0342",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -37.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -297,
["jmenovatel"] = 8 },
["render"] = "\\frac{-594}{16}",
["typ"] = "cislo" },
["tex"] = "-37\\frac{1}{8}",
["tex_float"] = "-37{,}125",
["x"] = -37,
["y"] = 1,
["z"] = 8 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "2 + 1\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2 + 1\\frac{3}{8}}{-9}",
["typ"] = "lomeno" },
["render"] = "-15 + \\frac{2 + 1\\frac{3}{8}}{-9}",
["typ"] = "plus" },
["render"] = "(-15 + \\frac{2 + 1\\frac{3}{8}}{-9})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} \\cdot -12 - (-15 + \\frac{2 + 1\\frac{3}{8}}{-9})",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.64, bodu=105, $$(3\frac{2}{7} - \frac{-16}{12 - (-3)}) \cdot 3\frac{2}{11}=\textcolor{white}{13\frac{28}{33}}$$return {
["body"] = 105,
["id"] = "n5N2gJ_1216_0342",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 13.848484848485,
["objekt"] = {
["hodnota"] = {
["citatel"] = 457,
["jmenovatel"] = 33 },
["render"] = "\\frac{15995}{1155}",
["typ"] = "cislo" },
["tex"] = "13\\frac{28}{33}",
["x"] = 13,
["y"] = 28,
["z"] = 33 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.64",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "12 - (-3)",
["typ"] = "minus" },
["render"] = "\\frac{-16}{12 - (-3)}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{7} - \\frac{-16}{12 - (-3)}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{7} - \\frac{-16}{12 - (-3)})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "(3\\frac{2}{7} - \\frac{-16}{12 - (-3)}) \\cdot 3\\frac{2}{11}",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.65, bodu=135, $$10 \cdot (1\frac{3}{11} + 3\frac{1}{4}) - (11 - (11 - 4\frac{2}{6}))=\textcolor{white}{40\frac{59}{66}}$$return {
["body"] = 135,
["id"] = "Fyw3g9_1216_0342",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 40.893939393939,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2699,
["jmenovatel"] = 66 },
["render"] = "\\frac{2699}{66}",
["typ"] = "cislo" },
["tex"] = "40\\frac{59}{66}",
["x"] = 40,
["y"] = 59,
["z"] = 66 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{11} + 3\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (1\\frac{3}{11} + 3\\frac{1}{4})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "11 - 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(11 - 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "11 - (11 - 4\\frac{2}{6})",
["typ"] = "minus" },
["render"] = "(11 - (11 - 4\\frac{2}{6}))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (1\\frac{3}{11} + 3\\frac{1}{4}) - (11 - (11 - 4\\frac{2}{6}))",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.66, bodu=81, $$\frac{12}{\frac{-10 - 1\frac{5}{8}}{(\frac{-11}{-11})^4}}=\textcolor{white}{-1\frac{1}{31}}$$return {
["body"] = 81,
["id"] = "hQcgjQ_1216_0342",
["obtiznost"] = 0.8608,
["reseni"] = {
["float"] = -1.0322580645161,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 31 },
["render"] = "\\frac{96}{-93}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{31}",
["x"] = -1,
["y"] = 1,
["z"] = 31 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-10 - 1\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-11}{-11})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-10 - 1\\frac{5}{8}}{(\\frac{-11}{-11})^4}",
["typ"] = "lomeno" },
["render"] = "\\frac{12}{\\frac{-10 - 1\\frac{5}{8}}{(\\frac{-11}{-11})^4}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.67, bodu=170, $$\frac{1\frac{4}{7}}{-16 + 16 - 2\frac{2}{9}} + 2\frac{1}{4} - 1\frac{5}{13}=\textcolor{white}{\frac{72}{455}}$$return {
["body"] = 170,
["id"] = "0iC9dG_1216_0342",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 0.15824175824176,
["objekt"] = {
["hodnota"] = {
["citatel"] = 72,
["jmenovatel"] = 455 },
["render"] = "\\frac{1152}{7280}",
["typ"] = "cislo" },
["tex"] = "\\frac{72}{455}",
["y"] = 72,
["z"] = 455 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-16 + 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-16 + 16 - 2\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{4}{7}}{-16 + 16 - 2\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} - 1\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{4}{7}}{-16 + 16 - 2\\frac{2}{9}} + 2\\frac{1}{4} - 1\\frac{5}{13}",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.68, bodu=111, $$\frac{5 + 2\frac{3}{5}}{(13 - (-10 \cdot 8)) \cdot 1\frac{1}{6}}=\textcolor{white}{\frac{76}{1085}}$$return {
["body"] = 111,
["id"] = "66F4yi_1216_0342",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = 0.070046082949309,
["objekt"] = {
["hodnota"] = {
["citatel"] = 76,
["jmenovatel"] = 1085 },
["render"] = "\\frac{76}{1085}",
["typ"] = "cislo" },
["tex"] = "\\frac{76}{1085}",
["y"] = 76,
["z"] = 1085 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "5 + 2\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 8",
["typ"] = "krat" },
["render"] = "13 - (-10 \\cdot 8)",
["typ"] = "minus" },
["render"] = "(13 - (-10 \\cdot 8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(13 - (-10 \\cdot 8)) \\cdot 1\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "\\frac{5 + 2\\frac{3}{5}}{(13 - (-10 \\cdot 8)) \\cdot 1\\frac{1}{6}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.69, bodu=112, $$\frac{14}{-19} - 11 \cdot 4\frac{3}{8} \cdot 1\frac{4}{9}=\textcolor{white}{-70\frac{343}{1368}}$$return {
["body"] = 112,
["id"] = "Um3RLg_1216_0342",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -70.250730994152,
["objekt"] = {
["hodnota"] = {
["citatel"] = -96103,
["jmenovatel"] = 1368 },
["render"] = "\\frac{-96103}{1368}",
["typ"] = "cislo" },
["tex"] = "-70\\frac{343}{1368}",
["x"] = -70,
["y"] = 343,
["z"] = 1368 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "11 \\cdot 4\\frac{3}{8} \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "\\frac{14}{-19} - 11 \\cdot 4\\frac{3}{8} \\cdot 1\\frac{4}{9}",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.7, bodu=86, $$3\frac{4}{6} - (11 \cdot 14 - (18 - 8 - 9)^4)=\textcolor{white}{-149\frac{1}{3}}$$return {
["body"] = 86,
["id"] = "OSHOf9_1216_0342",
["obtiznost"] = 0.9008,
["reseni"] = {
["float"] = -149.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -448,
["jmenovatel"] = 3 },
["render"] = "\\frac{-448}{3}",
["typ"] = "cislo" },
["tex"] = "-149\\frac{1}{3}",
["x"] = -149,
["y"] = 1,
["z"] = 3 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "11 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "18 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "18 - 8 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(18 - 8 - 9)^4",
["typ"] = "mocnina" },
["render"] = "11 \\cdot 14 - (18 - 8 - 9)^4",
["typ"] = "minus" },
["render"] = "(11 \\cdot 14 - (18 - 8 - 9)^4)",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{6} - (11 \\cdot 14 - (18 - 8 - 9)^4)",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.71, bodu=88, $$\frac{11 \cdot -8}{\frac{3\frac{5}{12} - 12}{-11} + (-12)}=\textcolor{white}{7\frac{1249}{1481}}$$return {
["body"] = 88,
["id"] = "FvWMsL_1216_0342",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 7.8433490884537,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11616,
["jmenovatel"] = 1481 },
["render"] = "\\frac{-11616}{-1481}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1249}{1481}",
["x"] = 7,
["y"] = 1249,
["z"] = 1481 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{12} - 12}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{12} - 12}{-11} + (-12)",
["typ"] = "plus" },
["render"] = "\\frac{11 \\cdot -8}{\\frac{3\\frac{5}{12} - 12}{-11} + (-12)}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.72, bodu=124, $$\frac{10}{\frac{(14 - (2\frac{1}{4} - (-9)))^2}{2\frac{3}{9}}}=\textcolor{white}{3\frac{31}{363}}$$return {
["body"] = 124,
["id"] = "2CQPt5_1216_0342",
["obtiznost"] = 1.1748,
["reseni"] = {
["float"] = 3.0853994490358,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1120,
["jmenovatel"] = 363 },
["render"] = "\\frac{1120}{363}",
["typ"] = "cislo" },
["tex"] = "3\\frac{31}{363}",
["x"] = 3,
["y"] = 31,
["z"] = 363 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} - (-9)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} - (-9))",
["typ"] = "zavorka" },
["render"] = "14 - (2\\frac{1}{4} - (-9))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - (2\\frac{1}{4} - (-9)))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{(14 - (2\\frac{1}{4} - (-9)))^2}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{(14 - (2\\frac{1}{4} - (-9)))^2}{2\\frac{3}{9}}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.73, bodu=148, $$-2 \cdot 4\frac{3}{10} + 2\frac{1}{5} - (2\frac{1}{4} - 15) + (-9)=\textcolor{white}{-2{,}65}$$return {
["body"] = 148,
["id"] = "PS5xn9_1216_0342",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = -2.65,
["objekt"] = {
["hodnota"] = {
["citatel"] = -53,
["jmenovatel"] = 20 },
["render"] = "\\frac{-265}{100}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{13}{20}",
["tex_float"] = "-2{,}65",
["x"] = -2,
["y"] = 13,
["z"] = 20 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-2 \\cdot 4\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} - 15",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} - 15)",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{5} - (2\\frac{1}{4} - 15)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - (2\\frac{1}{4} - 15) + (-9)",
["typ"] = "plus" },
["render"] = "-2 \\cdot 4\\frac{3}{10} + 2\\frac{1}{5} - (2\\frac{1}{4} - 15) + (-9)",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.74, bodu=149, $$4\frac{4}{9} \cdot 1\frac{5}{11} \cdot (-18 \cdot 15 - 4\frac{2}{4})=\textcolor{white}{-1774\frac{6}{11}}$$return {
["body"] = 149,
["id"] = "9aeBJn_1216_0342",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -1774.5454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19520,
["jmenovatel"] = 11 },
["render"] = "\\frac{-175680}{99}",
["typ"] = "cislo" },
["tex"] = "-1774\\frac{6}{11}",
["x"] = -1774,
["y"] = 6,
["z"] = 11 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 15 - 4\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(-18 \\cdot 15 - 4\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{11} \\cdot (-18 \\cdot 15 - 4\\frac{2}{4})",
["typ"] = "krat" },
["render"] = "4\\frac{4}{9} \\cdot 1\\frac{5}{11} \\cdot (-18 \\cdot 15 - 4\\frac{2}{4})",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.75, bodu=134, $$\frac{2\frac{1}{7} - \frac{16}{-15}}{4 + (20 - (-7))^2}=\textcolor{white}{\frac{337}{76965}}$$return {
["body"] = 134,
["id"] = "gjJmQC_1216_0342",
["obtiznost"] = 1.242,
["reseni"] = {
["float"] = 0.0043786136555577,
["objekt"] = {
["hodnota"] = {
["citatel"] = 337,
["jmenovatel"] = 76965 },
["render"] = "\\frac{337}{76965}",
["typ"] = "cislo" },
["tex"] = "\\frac{337}{76965}",
["y"] = 337,
["z"] = 76965 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{16}{-15}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{7} - \\frac{16}{-15}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "20 - (-7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(20 - (-7))^2",
["typ"] = "mocnina" },
["render"] = "4 + (20 - (-7))^2",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{7} - \\frac{16}{-15}}{4 + (20 - (-7))^2}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.76, bodu=152, $$10 + (1\frac{5}{12} + 1\frac{5}{11} - 3\frac{5}{12} \cdot -12) \cdot -18=\textcolor{white}{-779\frac{15}{22}}$$return {
["body"] = 152,
["id"] = "OG4eu1_1216_0342",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -779.68181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17153,
["jmenovatel"] = 22 },
["render"] = "\\frac{-17153}{22}",
["typ"] = "cislo" },
["tex"] = "-779\\frac{15}{22}",
["x"] = -779,
["y"] = 15,
["z"] = 22 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} \\cdot -12",
["typ"] = "krat" },
["render"] = "1\\frac{5}{11} - 3\\frac{5}{12} \\cdot -12",
["typ"] = "minus" },
["render"] = "1\\frac{5}{12} + 1\\frac{5}{11} - 3\\frac{5}{12} \\cdot -12",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{12} + 1\\frac{5}{11} - 3\\frac{5}{12} \\cdot -12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{12} + 1\\frac{5}{11} - 3\\frac{5}{12} \\cdot -12) \\cdot -18",
["typ"] = "krat" },
["render"] = "10 + (1\\frac{5}{12} + 1\\frac{5}{11} - 3\\frac{5}{12} \\cdot -12) \\cdot -18",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.77, bodu=123, $$8 \cdot (-10 + 3\frac{1}{4}) - (-12 - 13) \cdot 3\frac{5}{14}=\textcolor{white}{29\frac{13}{14}}$$return {
["body"] = 123,
["id"] = "8IAaDe_1216_0342",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 29.928571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 419,
["jmenovatel"] = 14 },
["render"] = "\\frac{419}{14}",
["typ"] = "cislo" },
["tex"] = "29\\frac{13}{14}",
["x"] = 29,
["y"] = 13,
["z"] = 14 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-10 + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(-10 + 3\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (-10 + 3\\frac{1}{4})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-12 - 13",
["typ"] = "minus" },
["render"] = "(-12 - 13)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "(-12 - 13) \\cdot 3\\frac{5}{14}",
["typ"] = "krat" },
["render"] = "8 \\cdot (-10 + 3\\frac{1}{4}) - (-12 - 13) \\cdot 3\\frac{5}{14}",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.78, bodu=97, $$(\frac{20 - 1\frac{3}{10}}{13} \cdot -12 + 17) \cdot -6=\textcolor{white}{1\frac{37}{65}}$$return {
["body"] = 97,
["id"] = "p8lC6N_1216_0342",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = 1.5692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = 102,
["jmenovatel"] = 65 },
["render"] = "\\frac{102}{65}",
["typ"] = "cislo" },
["tex"] = "1\\frac{37}{65}",
["x"] = 1,
["y"] = 37,
["z"] = 65 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "20 - 1\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{20 - 1\\frac{3}{10}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{20 - 1\\frac{3}{10}}{13} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{20 - 1\\frac{3}{10}}{13} \\cdot -12 + 17",
["typ"] = "plus" },
["render"] = "(\\frac{20 - 1\\frac{3}{10}}{13} \\cdot -12 + 17)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(\\frac{20 - 1\\frac{3}{10}}{13} \\cdot -12 + 17) \\cdot -6",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.79, bodu=190, $$(4\frac{2}{7} + (-13 + (-8) + 2\frac{2}{3})) \cdot 10 \cdot (2\frac{2}{4} + 1\frac{2}{10})=\textcolor{white}{-519\frac{16}{21}}$$return {
["body"] = 190,
["id"] = "nbXs9o_1216_0342",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -519.7619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10915,
["jmenovatel"] = 21 },
["render"] = "\\frac{-10915}{21}",
["typ"] = "cislo" },
["tex"] = "-519\\frac{16}{21}",
["x"] = -519,
["y"] = 16,
["z"] = 21 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-13 + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "-13 + (-8) + 2\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "4\\frac{2}{7} + (-13 + (-8) + 2\\frac{2}{3})",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{7} + (-13 + (-8) + 2\\frac{2}{3}))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 1\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{4} + 1\\frac{2}{10})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (2\\frac{2}{4} + 1\\frac{2}{10})",
["typ"] = "krat" },
["render"] = "(4\\frac{2}{7} + (-13 + (-8) + 2\\frac{2}{3})) \\cdot 10 \\cdot (2\\frac{2}{4} + 1\\frac{2}{10})",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.8, bodu=96, $$-15 + (\frac{-9}{-19})^2 \cdot \frac{(-19 + 20)^4}{-9}=\textcolor{white}{-15\frac{9}{361}}$$return {
["body"] = 96,
["id"] = "SBhesD_1216_0342",
["obtiznost"] = 0.9776,
["reseni"] = {
["float"] = -15.024930747922,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5424,
["jmenovatel"] = 361 },
["render"] = "\\frac{-5424}{361}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{9}{361}",
["x"] = -15,
["y"] = 9,
["z"] = 361 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.8",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-19}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{-19})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "-19 + 20",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-19 + 20)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{(-19 + 20)^4}{-9}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-9}{-19})^2 \\cdot \\frac{(-19 + 20)^4}{-9}",
["typ"] = "krat" },
["render"] = "-15 + (\\frac{-9}{-19})^2 \\cdot \\frac{(-19 + 20)^4}{-9}",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.81, bodu=130, $$(-2 - 10 - (-9))^2 - (-8 + \frac{1\frac{5}{8}}{15} + 1\frac{5}{10})=\textcolor{white}{15\frac{47}{120}}$$return {
["body"] = 130,
["id"] = "yGOQE7_1216_0342",
["obtiznost"] = 1.214,
["reseni"] = {
["float"] = 15.391666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1847,
["jmenovatel"] = 120 },
["render"] = "\\frac{1847}{120}",
["typ"] = "cislo" },
["tex"] = "15\\frac{47}{120}",
["x"] = 15,
["y"] = 47,
["z"] = 120 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.81",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-2 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-2 - 10 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-2 - 10 - (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{15} + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "-8 + \\frac{1\\frac{5}{8}}{15} + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(-8 + \\frac{1\\frac{5}{8}}{15} + 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "(-2 - 10 - (-9))^2 - (-8 + \\frac{1\\frac{5}{8}}{15} + 1\\frac{5}{10})",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.82, bodu=162, $$(1\frac{5}{10} \cdot 4\frac{1}{8} + 4 - 1\frac{5}{11}) \cdot (-11 - (-15))=\textcolor{white}{34\frac{41}{44}}$$return {
["body"] = 162,
["id"] = "nr1wZ9_1216_0342",
["obtiznost"] = 1.42,
["reseni"] = {
["float"] = 34.931818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1537,
["jmenovatel"] = 44 },
["render"] = "\\frac{6148}{176}",
["typ"] = "cislo" },
["tex"] = "34\\frac{41}{44}",
["x"] = 34,
["y"] = 41,
["z"] = 44 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.82",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot 4\\frac{1}{8} + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} \\cdot 4\\frac{1}{8} + 4 - 1\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{10} \\cdot 4\\frac{1}{8} + 4 - 1\\frac{5}{11})",
["typ"] = "zavorka" },
["c2"] = {
["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"] = "minus" },
["render"] = "(-11 - (-15))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{10} \\cdot 4\\frac{1}{8} + 4 - 1\\frac{5}{11}) \\cdot (-11 - (-15))",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.83, bodu=141, $$(\frac{-13 + (-9)}{-8})^2 + 21 + 4\frac{3}{7} + \frac{11}{3\frac{4}{7}}=\textcolor{white}{36\frac{199}{2800}}$$return {
["body"] = 141,
["id"] = "fuu6eH_1216_0342",
["obtiznost"] = 1.2848,
["reseni"] = {
["float"] = 36.071071428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 100999,
["jmenovatel"] = 2800 },
["render"] = "\\frac{100999}{2800}",
["typ"] = "cislo" },
["tex"] = "36\\frac{199}{2800}",
["x"] = 36,
["y"] = 199,
["z"] = 2800 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-13 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-13 + (-9)}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13 + (-9)}{-8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "21 + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(\\frac{-13 + (-9)}{-8})^2 + 21 + 4\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-13 + (-9)}{-8})^2 + 21 + 4\\frac{3}{7} + \\frac{11}{3\\frac{4}{7}}",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.84, bodu=237, $$\frac{4\frac{2}{8}}{(-11 + 3\frac{2}{6})^2 \cdot \frac{2\frac{4}{10} \cdot -14}{1\frac{4}{13}}}=\textcolor{white}{-\frac{4335}{1540448}}$$return {
["body"] = 237,
["id"] = "rO5XHU_1216_0342",
["obtiznost"] = 1.8552,
["reseni"] = {
["float"] = -0.0028141164128877,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4335,
["jmenovatel"] = 1540448 },
["render"] = "\\frac{4335}{-1540448}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4335}{1540448}",
["y"] = -4335,
["z"] = 1540448 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "-11 + 3\\frac{2}{6}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + 3\\frac{2}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{10} \\cdot -14}{1\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "(-11 + 3\\frac{2}{6})^2 \\cdot \\frac{2\\frac{4}{10} \\cdot -14}{1\\frac{4}{13}}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{8}}{(-11 + 3\\frac{2}{6})^2 \\cdot \\frac{2\\frac{4}{10} \\cdot -14}{1\\frac{4}{13}}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.85, bodu=106, $$\frac{\frac{-11 - 17 + 2\frac{3}{7}}{\frac{5}{-7} + (-9)}}{-2}=\textcolor{white}{-1\frac{43}{136}}$$return {
["body"] = 106,
["id"] = "8bCcfc_1216_0342",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -1.3161764705882,
["objekt"] = {
["hodnota"] = {
["citatel"] = -179,
["jmenovatel"] = 136 },
["render"] = "\\frac{179}{-136}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{43}{136}",
["x"] = -1,
["y"] = 43,
["z"] = 136 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-11 - 17",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-11 - 17 + 2\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-7} + (-9)",
["typ"] = "plus" },
["render"] = "\\frac{-11 - 17 + 2\\frac{3}{7}}{\\frac{5}{-7} + (-9)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-11 - 17 + 2\\frac{3}{7}}{\\frac{5}{-7} + (-9)}}{-2}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.86, bodu=137, $$-11 + 22 \cdot 3\frac{2}{4} - \frac{8 \cdot 4\frac{2}{7}}{10}=\textcolor{white}{62\frac{4}{7}}$$return {
["body"] = 137,
["id"] = "va2R2n_1216_0342",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 62.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 438,
["jmenovatel"] = 7 },
["render"] = "\\frac{438}{7}",
["typ"] = "cislo" },
["tex"] = "62\\frac{4}{7}",
["x"] = 62,
["y"] = 4,
["z"] = 7 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "22 \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "-11 + 22 \\cdot 3\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 4\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 4\\frac{2}{7}}{10}",
["typ"] = "lomeno" },
["render"] = "-11 + 22 \\cdot 3\\frac{2}{4} - \\frac{8 \\cdot 4\\frac{2}{7}}{10}",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.87, bodu=109, $$\frac{-13}{-8 - (10 - (-16 - (18 - 2\frac{1}{7})))}=\textcolor{white}{\frac{91}{349}}$$return {
["body"] = 109,
["id"] = "qDZuso_1216_0342",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.26074498567335,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 349 },
["render"] = "\\frac{-91}{-349}",
["typ"] = "cislo" },
["tex"] = "\\frac{91}{349}",
["y"] = 91,
["z"] = 349 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "18 - 2\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(18 - 2\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "-16 - (18 - 2\\frac{1}{7})",
["typ"] = "minus" },
["render"] = "(-16 - (18 - 2\\frac{1}{7}))",
["typ"] = "zavorka" },
["render"] = "10 - (-16 - (18 - 2\\frac{1}{7}))",
["typ"] = "minus" },
["render"] = "(10 - (-16 - (18 - 2\\frac{1}{7})))",
["typ"] = "zavorka" },
["render"] = "-8 - (10 - (-16 - (18 - 2\\frac{1}{7})))",
["typ"] = "minus" },
["render"] = "\\frac{-13}{-8 - (10 - (-16 - (18 - 2\\frac{1}{7})))}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.88, bodu=205, $$\frac{12 \cdot 2\frac{5}{8}}{\frac{4\frac{4}{11}}{2\frac{5}{10}} - 4\frac{3}{13}} + (-5)=\textcolor{white}{-17\frac{2397}{3554}}$$return {
["body"] = 205,
["id"] = "J9S82n_1216_0342",
["obtiznost"] = 1.68,
["reseni"] = {
["float"] = -17.674451322454,
["objekt"] = {
["hodnota"] = {
["citatel"] = -62815,
["jmenovatel"] = 3554 },
["render"] = "\\frac{-62815}{3554}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{2397}{3554}",
["x"] = -17,
["y"] = 2397,
["z"] = 3554 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{11}}{2\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{11}}{2\\frac{5}{10}} - 4\\frac{3}{13}",
["typ"] = "minus" },
["render"] = "\\frac{12 \\cdot 2\\frac{5}{8}}{\\frac{4\\frac{4}{11}}{2\\frac{5}{10}} - 4\\frac{3}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot 2\\frac{5}{8}}{\\frac{4\\frac{4}{11}}{2\\frac{5}{10}} - 4\\frac{3}{13}} + (-5)",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.89, bodu=112, $$5 - ((18 + (-18)) \cdot 1\frac{5}{10} + (-15 - (-19) - 14))=\textcolor{white}{15}$$return {
["body"] = 112,
["id"] = "JdIvPT_1216_0342",
["obtiznost"] = 1.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "\\frac{15}{1}",
["typ"] = "cislo" },
["tex"] = "15",
["tex_float"] = "15",
["x"] = 15 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "18 + (-18)",
["typ"] = "plus" },
["render"] = "(18 + (-18))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(18 + (-18)) \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-15 - (-19)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-15 - (-19) - 14",
["typ"] = "minus" },
["render"] = "(18 + (-18)) \\cdot 1\\frac{5}{10} + (-15 - (-19) - 14)",
["typ"] = "plus" },
["render"] = "((18 + (-18)) \\cdot 1\\frac{5}{10} + (-15 - (-19) - 14))",
["typ"] = "zavorka" },
["render"] = "5 - ((18 + (-18)) \\cdot 1\\frac{5}{10} + (-15 - (-19) - 14))",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.9, bodu=143, $$7 - 4\frac{5}{14} + \frac{2\frac{5}{10} + 16}{-18} - (19 - (-7))=\textcolor{white}{-24\frac{97}{252}}$$return {
["body"] = 143,
["id"] = "E1eCal_1216_0342",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -24.384920634921,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6145,
["jmenovatel"] = 252 },
["render"] = "\\frac{-12290}{504}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{97}{252}",
["x"] = -24,
["y"] = 97,
["z"] = 252 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "7 - 4\\frac{5}{14}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + 16",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{10} + 16}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "19 - (-7)",
["typ"] = "minus" },
["render"] = "(19 - (-7))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{10} + 16}{-18} - (19 - (-7))",
["typ"] = "minus" },
["render"] = "7 - 4\\frac{5}{14} + \\frac{2\\frac{5}{10} + 16}{-18} - (19 - (-7))",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.91, bodu=144, $$\frac{\frac{-10}{4\frac{3}{13} - 10}}{1\frac{1}{5} + 11} - 14=\textcolor{white}{-13\frac{157}{183}}$$return {
["body"] = 144,
["id"] = "6ve3Xy_1216_0342",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -13.857923497268,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2536,
["jmenovatel"] = 183 },
["render"] = "\\frac{-2536}{183}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{157}{183}",
["x"] = -13,
["y"] = 157,
["z"] = 183 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{13} - 10",
["typ"] = "minus" },
["render"] = "\\frac{-10}{4\\frac{3}{13} - 10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} + 11",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-10}{4\\frac{3}{13} - 10}}{1\\frac{1}{5} + 11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{4\\frac{3}{13} - 10}}{1\\frac{1}{5} + 11} - 14",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.92, bodu=213, $$(6 + 3\frac{3}{8}) \cdot -10 \cdot (\frac{1\frac{4}{12}}{1\frac{1}{9} + 13} - 3\frac{5}{12})=\textcolor{white}{311\frac{923}{2032}}$$return {
["body"] = 213,
["id"] = "rcHg0q_1216_0342",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = 311.45423228346,
["objekt"] = {
["hodnota"] = {
["citatel"] = 632875,
["jmenovatel"] = 2032 },
["render"] = "\\frac{1898625}{6096}",
["typ"] = "cislo" },
["tex"] = "311\\frac{923}{2032}",
["x"] = 311,
["y"] = 923,
["z"] = 2032 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "6 + 3\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(6 + 3\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(6 + 3\\frac{3}{8}) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} + 13",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{12}}{1\\frac{1}{9} + 13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{12}}{1\\frac{1}{9} + 13} - 3\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{4}{12}}{1\\frac{1}{9} + 13} - 3\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "(6 + 3\\frac{3}{8}) \\cdot -10 \\cdot (\\frac{1\\frac{4}{12}}{1\\frac{1}{9} + 13} - 3\\frac{5}{12})",
["typ"] = "krat" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.93, bodu=150, $$\frac{4\frac{5}{14} - \frac{-13}{(19 + (-13))^2}}{23 \cdot 2\frac{4}{8}}=\textcolor{white}{\frac{1189}{14490}}$$return {
["body"] = 150,
["id"] = "Z7TAEs_1216_0342",
["obtiznost"] = 1.3448,
["reseni"] = {
["float"] = 0.082056590752243,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1189,
["jmenovatel"] = 14490 },
["render"] = "\\frac{2378}{28980}",
["typ"] = "cislo" },
["tex"] = "\\frac{1189}{14490}",
["y"] = 1189,
["z"] = 14490 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "19 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(19 + (-13))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-13}{(19 + (-13))^2}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{14} - \\frac{-13}{(19 + (-13))^2}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "23 \\cdot 2\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{5}{14} - \\frac{-13}{(19 + (-13))^2}}{23 \\cdot 2\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.94, bodu=152, $$-18 \cdot (\frac{10}{-21})^2 - 23 \cdot (4\frac{5}{8} - (-15))=\textcolor{white}{-455\frac{179}{392}}$$return {
["body"] = 152,
["id"] = "TLAXOb_1216_0342",
["obtiznost"] = 1.3564,
["reseni"] = {
["float"] = -455.45663265306,
["objekt"] = {
["hodnota"] = {
["citatel"] = -178539,
["jmenovatel"] = 392 },
["render"] = "\\frac{-178539}{392}",
["typ"] = "cislo" },
["tex"] = "-455\\frac{179}{392}",
["x"] = -455,
["y"] = 179,
["z"] = 392 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-21}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-21})^2",
["typ"] = "mocnina" },
["render"] = "-18 \\cdot (\\frac{10}{-21})^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} - (-15)",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{8} - (-15))",
["typ"] = "zavorka" },
["render"] = "23 \\cdot (4\\frac{5}{8} - (-15))",
["typ"] = "krat" },
["render"] = "-18 \\cdot (\\frac{10}{-21})^2 - 23 \\cdot (4\\frac{5}{8} - (-15))",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.95, bodu=228, $$\frac{2\frac{5}{14}}{11} - (1\frac{4}{11} + 7) - (2\frac{2}{10} \cdot 1\frac{3}{12})^2=\textcolor{white}{-15\frac{877}{1232}}$$return {
["body"] = 228,
["id"] = "NcbUMi_1216_0342",
["obtiznost"] = 1.8048,
["reseni"] = {
["float"] = -15.711850649351,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19357,
["jmenovatel"] = 1232 },
["render"] = "\\frac{-38714}{2464}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{877}{1232}",
["x"] = -15,
["y"] = 877,
["z"] = 1232 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 14 },
["render"] = "2\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{14}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{11} + 7",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{11} + 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{14}}{11} - (1\\frac{4}{11} + 7)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} \\cdot 1\\frac{3}{12}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2\\frac{2}{10} \\cdot 1\\frac{3}{12})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{5}{14}}{11} - (1\\frac{4}{11} + 7) - (2\\frac{2}{10} \\cdot 1\\frac{3}{12})^2",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.96, bodu=256, $$4\frac{1}{7} - 2\frac{2}{11} - (3\frac{5}{12} + 4\frac{3}{8} \cdot \frac{9}{23} + 1\frac{5}{15})=\textcolor{white}{-4\frac{7097}{14168}}$$return {
["body"] = 256,
["id"] = "cOEIEk_1216_0342",
["obtiznost"] = 1.96,
["reseni"] = {
["float"] = -4.5009175607002,
["objekt"] = {
["hodnota"] = {
["citatel"] = -63769,
["jmenovatel"] = 14168 },
["render"] = "\\frac{-63769}{14168}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{7097}{14168}",
["x"] = -4,
["y"] = 7097,
["z"] = 14168 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} - 2\\frac{2}{11}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "\\frac{9}{23}",
["typ"] = "lomeno" },
["render"] = "4\\frac{3}{8} \\cdot \\frac{9}{23}",
["typ"] = "krat" },
["render"] = "3\\frac{5}{12} + 4\\frac{3}{8} \\cdot \\frac{9}{23}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} + 4\\frac{3}{8} \\cdot \\frac{9}{23} + 1\\frac{5}{15}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{12} + 4\\frac{3}{8} \\cdot \\frac{9}{23} + 1\\frac{5}{15})",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{7} - 2\\frac{2}{11} - (3\\frac{5}{12} + 4\\frac{3}{8} \\cdot \\frac{9}{23} + 1\\frac{5}{15})",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.97, bodu=188, $$(\frac{-8}{-24})^3 \cdot \frac{2\frac{3}{10}}{4\frac{3}{7}} + 3\frac{4}{10} + (-15)=\textcolor{white}{-11\frac{4861}{8370}}$$return {
["body"] = 188,
["id"] = "JE2yMn_1216_0342",
["obtiznost"] = 1.5812,
["reseni"] = {
["float"] = -11.580764635603,
["objekt"] = {
["hodnota"] = {
["citatel"] = -96931,
["jmenovatel"] = 8370 },
["render"] = "\\frac{-484655}{41850}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{4861}{8370}",
["x"] = -11,
["y"] = 4861,
["z"] = 8370 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-24}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-8}{-24})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{10}}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-8}{-24})^3 \\cdot \\frac{2\\frac{3}{10}}{4\\frac{3}{7}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + (-15)",
["typ"] = "plus" },
["render"] = "(\\frac{-8}{-24})^3 \\cdot \\frac{2\\frac{3}{10}}{4\\frac{3}{7}} + 3\\frac{4}{10} + (-15)",
["typ"] = "plus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.98, bodu=244, $$(20 + (-11 - (-19)))^2 - (3\frac{3}{11} - 2\frac{5}{15}) - (2\frac{1}{7} + (-18))=\textcolor{white}{798\frac{212}{231}}$$return {
["body"] = 244,
["id"] = "oN7N1l_1216_0342",
["obtiznost"] = 1.894,
["reseni"] = {
["float"] = 798.91774891775,
["objekt"] = {
["hodnota"] = {
["citatel"] = 184550,
["jmenovatel"] = 231 },
["render"] = "\\frac{184550}{231}",
["typ"] = "cislo" },
["tex"] = "798\\frac{212}{231}",
["x"] = 798,
["y"] = 212,
["z"] = 231 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "-11 - (-19)",
["typ"] = "minus" },
["render"] = "20 + (-11 - (-19))",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(20 + (-11 - (-19)))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{11} - 2\\frac{5}{15}",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{11} - 2\\frac{5}{15})",
["typ"] = "zavorka" },
["render"] = "(20 + (-11 - (-19)))^2 - (3\\frac{3}{11} - 2\\frac{5}{15})",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} + (-18)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{7} + (-18))",
["typ"] = "zavorka" },
["render"] = "(20 + (-11 - (-19)))^2 - (3\\frac{3}{11} - 2\\frac{5}{15}) - (2\\frac{1}{7} + (-18))",
["typ"] = "minus" } }
seed: NG9XzGWuvWo4Qw48jZyn_0.99, bodu=157, $$\frac{17 - 2\frac{2}{11} - (-13)}{13 \cdot \frac{19}{3\frac{4}{13}}}=\textcolor{white}{\frac{13158}{35321}}$$return {
["body"] = 157,
["id"] = "PbGHap_1216_0342",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 0.37252625916594,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13158,
["jmenovatel"] = 35321 },
["render"] = "\\frac{13158}{35321}",
["typ"] = "cislo" },
["tex"] = "\\frac{13158}{35321}",
["y"] = 13158,
["z"] = 35321 },
["seed"] = "NG9XzGWuvWo4Qw48jZyn_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "17 - 2\\frac{2}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "17 - 2\\frac{2}{11} - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{19}{3\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "13 \\cdot \\frac{19}{3\\frac{4}{13}}",
["typ"] = "krat" },
["render"] = "\\frac{17 - 2\\frac{2}{11} - (-13)}{13 \\cdot \\frac{19}{3\\frac{4}{13}}}",
["typ"] = "lomeno" } }
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