- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: szt3ZiHVyR8bqL0udml8_0, bodu=5, $$(11 + (7 - 7)^4)^2 - 4=\textcolor{white}{117}$$return {
["body"] = 5,
["id"] = "05ykj7_0515_2307",
["obtiznost"] = 0.0492,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 117,
["jmenovatel"] = 1 },
["render"] = "\\frac{117}{1}",
["typ"] = "cislo" },
["tex"] = "117",
["tex_float"] = "117",
["x"] = 117 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(7 - 7)^4",
["typ"] = "mocnina" },
["render"] = "11 + (7 - 7)^4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + (7 - 7)^4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(11 + (7 - 7)^4)^2 - 4",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.01, bodu=10, $$5 \cdot \frac{4}{6}=\textcolor{white}{3\frac{1}{3}}$$return {
["body"] = 10,
["id"] = "Bz3AH2_0515_2307",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 3.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "\\frac{10}{3}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{3}",
["x"] = 3,
["y"] = 1,
["z"] = 3 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4}{6}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot \\frac{4}{6}",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.02, bodu=5, $$7 - (9 + (6 - 5)^2)=\textcolor{white}{-3}$$return {
["body"] = 5,
["id"] = "sZh2L7_0515_2307",
["obtiznost"] = 0.0208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3}{1}",
["typ"] = "cislo" },
["tex"] = "-3",
["tex_float"] = "-3",
["x"] = -3 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 5)^2",
["typ"] = "mocnina" },
["render"] = "9 + (6 - 5)^2",
["typ"] = "plus" },
["render"] = "(9 + (6 - 5)^2)",
["typ"] = "zavorka" },
["render"] = "7 - (9 + (6 - 5)^2)",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.03, bodu=10, $$\frac{6}{\frac{10}{-7}}=\textcolor{white}{-4{,}2}$$return {
["body"] = 10,
["id"] = "5nH37X_0515_2307",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -4.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 5 },
["render"] = "\\frac{42}{-10}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{5}",
["tex_float"] = "-4{,}2",
["x"] = -4,
["y"] = 1,
["z"] = 5 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "\\frac{6}{\\frac{10}{-7}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.04, bodu=10, $$\frac{9}{8} - (3 + 9)=\textcolor{white}{-10{,}875}$$return {
["body"] = 10,
["id"] = "4FkU5l_0515_2307",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = -10.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -87,
["jmenovatel"] = 8 },
["render"] = "\\frac{-87}{8}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{7}{8}",
["tex_float"] = "-10{,}875",
["x"] = -10,
["y"] = 7,
["z"] = 8 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.04",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 + 9",
["typ"] = "plus" },
["render"] = "(3 + 9)",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{8} - (3 + 9)",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.05, bodu=5, $$6 \cdot 4 \cdot 4=\textcolor{white}{96}$$return {
["body"] = 5,
["id"] = "LJPZqq_0515_2307",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 1 },
["render"] = "\\frac{96}{1}",
["typ"] = "cislo" },
["tex"] = "96",
["x"] = 96 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "4 \\cdot 4",
["typ"] = "krat" },
["render"] = "6 \\cdot 4 \\cdot 4",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.06, bodu=11, $$\frac{7 \cdot 6}{9}=\textcolor{white}{4\frac{2}{3}}$$return {
["body"] = 11,
["id"] = "vAkBr3_0515_2307",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 4.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "\\frac{42}{9}",
["typ"] = "cislo" },
["tex"] = "4\\frac{2}{3}",
["x"] = 4,
["y"] = 2,
["z"] = 3 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 6}{9}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.07, bodu=11, $$\frac{7 \cdot 8}{5}=\textcolor{white}{11{,}2}$$return {
["body"] = 11,
["id"] = "1kEd5p_0515_2307",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 11.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 5 },
["render"] = "\\frac{56}{5}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{5}",
["tex_float"] = "11{,}2",
["x"] = 11,
["y"] = 1,
["z"] = 5 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 8}{5}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.08, bodu=6, $$(9 - 7) \cdot (3 - 2)^2=\textcolor{white}{2}$$return {
["body"] = 6,
["id"] = "wMU70J_0515_2307",
["obtiznost"] = 0.0808,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "\\frac{2}{1}",
["typ"] = "cislo" },
["tex"] = "2",
["x"] = 2 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.08",
["zadani"] = {
["c1"] = {
["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"] = "minus" },
["render"] = "(9 - 7)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "3 - 2",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3 - 2)^2",
["typ"] = "mocnina" },
["render"] = "(9 - 7) \\cdot (3 - 2)^2",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.09, bodu=6, $$(-6 + 8) \cdot -8 \cdot 8=\textcolor{white}{-128}$$return {
["body"] = 6,
["id"] = "str8G1_0515_2307",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -128,
["jmenovatel"] = 1 },
["render"] = "\\frac{-128}{1}",
["typ"] = "cislo" },
["tex"] = "-128",
["x"] = -128 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 + 8",
["typ"] = "plus" },
["render"] = "(-6 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(-6 + 8) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-6 + 8) \\cdot -8 \\cdot 8",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.1, bodu=24, $$\frac{1\frac{5}{9}}{-8} \cdot 8=\textcolor{white}{-1\frac{5}{9}}$$return {
["body"] = 24,
["id"] = "NPEt55_0515_2307",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = -1.5555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 9 },
["render"] = "\\frac{-56}{36}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5}{9}",
["x"] = -1,
["y"] = 5,
["z"] = 9 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{-8} \\cdot 8",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.11, bodu=8, $$9 - (9 + (7 - 5)^2)^2=\textcolor{white}{-160}$$return {
["body"] = 8,
["id"] = "YuggJy_0515_2307",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -160,
["jmenovatel"] = 1 },
["render"] = "\\frac{-160}{1}",
["typ"] = "cislo" },
["tex"] = "-160",
["tex_float"] = "-160",
["x"] = -160 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 5)^2",
["typ"] = "mocnina" },
["render"] = "9 + (7 - 5)^2",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + (7 - 5)^2)^2",
["typ"] = "mocnina" },
["render"] = "9 - (9 + (7 - 5)^2)^2",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.12, bodu=6, $$(7 + (-9 + 6)) \cdot 5=\textcolor{white}{20}$$return {
["body"] = 6,
["id"] = "685C5a_0515_2307",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "\\frac{20}{1}",
["typ"] = "cislo" },
["tex"] = "20",
["x"] = 20 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.12",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-9 + 6",
["typ"] = "plus" },
["render"] = "7 + (-9 + 6)",
["typ"] = "plus" },
["render"] = "(7 + (-9 + 6))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(7 + (-9 + 6)) \\cdot 5",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.13, bodu=51, $$2\frac{1}{6} + (4\frac{2}{5} - (-7) - 9)^2=\textcolor{white}{7\frac{139}{150}}$$return {
["body"] = 51,
["id"] = "RIsEhK_0515_2307",
["obtiznost"] = 0.5976,
["reseni"] = {
["float"] = 7.9266666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1189,
["jmenovatel"] = 150 },
["render"] = "\\frac{1189}{150}",
["typ"] = "cislo" },
["tex"] = "7\\frac{139}{150}",
["x"] = 7,
["y"] = 139,
["z"] = 150 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - (-7) - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{2}{5} - (-7) - 9)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{6} + (4\\frac{2}{5} - (-7) - 9)^2",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.14, bodu=7, $$7 \cdot -7 \cdot (8 + 6)=\textcolor{white}{-686}$$return {
["body"] = 7,
["id"] = "0DGYvn_0515_2307",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -686,
["jmenovatel"] = 1 },
["render"] = "\\frac{-686}{1}",
["typ"] = "cislo" },
["tex"] = "-686",
["x"] = -686 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 + 6",
["typ"] = "plus" },
["render"] = "(8 + 6)",
["typ"] = "zavorka" },
["render"] = "-7 \\cdot (8 + 6)",
["typ"] = "krat" },
["render"] = "7 \\cdot -7 \\cdot (8 + 6)",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.15, bodu=15, $$\frac{11}{\frac{-9}{4}}=\textcolor{white}{-4\frac{8}{9}}$$return {
["body"] = 15,
["id"] = "Ekne7r_0515_2307",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = -4.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -44,
["jmenovatel"] = 9 },
["render"] = "\\frac{44}{-9}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{8}{9}",
["x"] = -4,
["y"] = 8,
["z"] = 9 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{-9}{4}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.16, bodu=7, $$-7 \cdot 6 \cdot 7=\textcolor{white}{-294}$$return {
["body"] = 7,
["id"] = "7s5nfQ_0515_2307",
["obtiznost"] = 0.16,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -294,
["jmenovatel"] = 1 },
["render"] = "\\frac{-294}{1}",
["typ"] = "cislo" },
["tex"] = "-294",
["tex_float"] = "-294",
["x"] = -294 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["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"] = "-7 \\cdot 6 \\cdot 7",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.17, bodu=17, $$10 + (7 + (\frac{-8}{8})^4)^2=\textcolor{white}{74}$$return {
["body"] = 17,
["id"] = "Joxm64_0515_2307",
["obtiznost"] = 0.1968,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 74,
["jmenovatel"] = 1 },
["render"] = "\\frac{74}{1}",
["typ"] = "cislo" },
["tex"] = "74",
["x"] = 74 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-8}{8})^4",
["typ"] = "mocnina" },
["render"] = "7 + (\\frac{-8}{8})^4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + (\\frac{-8}{8})^4)^2",
["typ"] = "mocnina" },
["render"] = "10 + (7 + (\\frac{-8}{8})^4)^2",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.18, bodu=17, $$\frac{4}{8 - (-7 + 11)^2}=\textcolor{white}{-0{,}5}$$return {
["body"] = 17,
["id"] = "3wJLKk_0515_2307",
["obtiznost"] = 0.1868,
["reseni"] = {
["float"] = -0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 2 },
["render"] = "\\frac{4}{-8}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{2}",
["tex_float"] = "-0{,}5",
["y"] = -1,
["z"] = 2 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["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"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-7 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + 11)^2",
["typ"] = "mocnina" },
["render"] = "8 - (-7 + 11)^2",
["typ"] = "minus" },
["render"] = "\\frac{4}{8 - (-7 + 11)^2}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.19, bodu=8, $$13 - (-9) + (-3 - 7)=\textcolor{white}{12}$$return {
["body"] = 8,
["id"] = "v66TwX_0515_2307",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{1}",
["typ"] = "cislo" },
["tex"] = "12",
["x"] = 12 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.19",
["zadani"] = {
["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"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-3 - 7",
["typ"] = "minus" },
["render"] = "13 - (-9) + (-3 - 7)",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.2, bodu=31, $$5 - (\frac{5}{7} \cdot -4)^2=\textcolor{white}{-3\frac{8}{49}}$$return {
["body"] = 31,
["id"] = "jiyslp_0515_2307",
["obtiznost"] = 0.3796,
["reseni"] = {
["float"] = -3.1632653061224,
["objekt"] = {
["hodnota"] = {
["citatel"] = -155,
["jmenovatel"] = 49 },
["render"] = "\\frac{-155}{49}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{8}{49}",
["x"] = -3,
["y"] = 8,
["z"] = 49 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7} \\cdot -4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{7} \\cdot -4)^2",
["typ"] = "mocnina" },
["render"] = "5 - (\\frac{5}{7} \\cdot -4)^2",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.21, bodu=9, $$(8 + 5) \cdot 12 - (11 + 9)=\textcolor{white}{136}$$return {
["body"] = 9,
["id"] = "rYJe5g_0515_2307",
["obtiznost"] = 0.21,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 136,
["jmenovatel"] = 1 },
["render"] = "\\frac{136}{1}",
["typ"] = "cislo" },
["tex"] = "136",
["x"] = 136 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["render"] = "(8 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(8 + 5) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 + 9",
["typ"] = "plus" },
["render"] = "(11 + 9)",
["typ"] = "zavorka" },
["render"] = "(8 + 5) \\cdot 12 - (11 + 9)",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.22, bodu=76, $$\frac{7 + 4\frac{2}{7} + 2\frac{4}{6}}{4\frac{3}{7}} \cdot 7=\textcolor{white}{22\frac{5}{93}}$$return {
["body"] = 76,
["id"] = "Jd47iJ_0515_2307",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 22.05376344086,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2051,
["jmenovatel"] = 93 },
["render"] = "\\frac{2051}{93}",
["typ"] = "cislo" },
["tex"] = "22\\frac{5}{93}",
["x"] = 22,
["y"] = 5,
["z"] = 93 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + 2\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "7 + 4\\frac{2}{7} + 2\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 4\\frac{2}{7} + 2\\frac{4}{6}}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 4\\frac{2}{7} + 2\\frac{4}{6}}{4\\frac{3}{7}} \\cdot 7",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.23, bodu=35, $$\frac{6}{\frac{4\frac{5}{7}}{10} \cdot 9}=\textcolor{white}{1\frac{41}{99}}$$return {
["body"] = 35,
["id"] = "bYBd3R_0515_2307",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = 1.4141414141414,
["objekt"] = {
["hodnota"] = {
["citatel"] = 140,
["jmenovatel"] = 99 },
["render"] = "\\frac{420}{297}",
["typ"] = "cislo" },
["tex"] = "1\\frac{41}{99}",
["x"] = 1,
["y"] = 41,
["z"] = 99 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{10} \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{6}{\\frac{4\\frac{5}{7}}{10} \\cdot 9}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.24, bodu=10, $$10 + 9 \cdot 8 \cdot -11=\textcolor{white}{-782}$$return {
["body"] = 10,
["id"] = "SJrROc_0515_2307",
["obtiznost"] = 0.24,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -782,
["jmenovatel"] = 1 },
["render"] = "\\frac{-782}{1}",
["typ"] = "cislo" },
["tex"] = "-782",
["x"] = -782 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 \\cdot -11",
["typ"] = "krat" },
["render"] = "9 \\cdot 8 \\cdot -11",
["typ"] = "krat" },
["render"] = "10 + 9 \\cdot 8 \\cdot -11",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.25, bodu=80, $$2\frac{2}{7} - 3\frac{3}{9} + 2\frac{4}{7} \cdot (8 + 9)=\textcolor{white}{42\frac{2}{3}}$$return {
["body"] = 80,
["id"] = "Zo0oMJ_0515_2307",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 42.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 128,
["jmenovatel"] = 3 },
["render"] = "\\frac{6272}{147}",
["typ"] = "cislo" },
["tex"] = "42\\frac{2}{3}",
["x"] = 42,
["y"] = 2,
["z"] = 3 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} - 3\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["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"] = "2\\frac{4}{7} \\cdot (8 + 9)",
["typ"] = "krat" },
["render"] = "2\\frac{2}{7} - 3\\frac{3}{9} + 2\\frac{4}{7} \\cdot (8 + 9)",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.26, bodu=38, $$\frac{\frac{3\frac{2}{8}}{-11}}{-10 + (-10)}=\textcolor{white}{\frac{13}{880}}$$return {
["body"] = 38,
["id"] = "6Eo9N0_0515_2307",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 0.014772727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 880 },
["render"] = "\\frac{-13}{-880}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{880}",
["y"] = 13,
["z"] = 880 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{8}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{3\\frac{2}{8}}{-11}}{-10 + (-10)}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.27, bodu=22, $$\frac{-9}{-11 - (-12 \cdot 8)}=\textcolor{white}{-\frac{9}{85}}$$return {
["body"] = 22,
["id"] = "q3G8iR_0515_2307",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -0.10588235294118,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 85 },
["render"] = "\\frac{-9}{85}",
["typ"] = "cislo" },
["tex"] = "-\\frac{9}{85}",
["y"] = -9,
["z"] = 85 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 8",
["typ"] = "krat" },
["render"] = "-11 - (-12 \\cdot 8)",
["typ"] = "minus" },
["render"] = "\\frac{-9}{-11 - (-12 \\cdot 8)}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.28, bodu=23, $$-12 - \frac{\frac{8}{7}}{4}=\textcolor{white}{-12\frac{2}{7}}$$return {
["body"] = 23,
["id"] = "qXUZU5_0515_2307",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = -12.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -86,
["jmenovatel"] = 7 },
["render"] = "\\frac{-86}{7}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{2}{7}",
["x"] = -12,
["y"] = 2,
["z"] = 7 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8}{7}}{4}",
["typ"] = "lomeno" },
["render"] = "-12 - \\frac{\\frac{8}{7}}{4}",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.29, bodu=12, $$5 \cdot (4 + (-8 + 5)^2 \cdot 12)=\textcolor{white}{560}$$return {
["body"] = 12,
["id"] = "LZsPjQ_0515_2307",
["obtiznost"] = 0.294,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 560,
["jmenovatel"] = 1 },
["render"] = "\\frac{560}{1}",
["typ"] = "cislo" },
["tex"] = "560",
["tex_float"] = "560",
["x"] = 560 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-8 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-8 + 5)^2 \\cdot 12",
["typ"] = "krat" },
["render"] = "4 + (-8 + 5)^2 \\cdot 12",
["typ"] = "plus" },
["render"] = "(4 + (-8 + 5)^2 \\cdot 12)",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (4 + (-8 + 5)^2 \\cdot 12)",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.3, bodu=62, $$\frac{3\frac{5}{8}}{9 + 4\frac{4}{7} - \frac{12}{11}}=\textcolor{white}{\frac{2233}{7688}}$$return {
["body"] = 62,
["id"] = "3hMmbT_0515_2307",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = 0.29045265348595,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2233,
["jmenovatel"] = 7688 },
["render"] = "\\frac{2233}{7688}",
["typ"] = "cislo" },
["tex"] = "\\frac{2233}{7688}",
["y"] = 2233,
["z"] = 7688 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{11}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{7} - \\frac{12}{11}",
["typ"] = "minus" },
["render"] = "9 + 4\\frac{4}{7} - \\frac{12}{11}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{5}{8}}{9 + 4\\frac{4}{7} - \\frac{12}{11}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.31, bodu=63, $$3\frac{1}{2} \cdot 8 \cdot 3\frac{2}{5} + (-8)=\textcolor{white}{87{,}2}$$return {
["body"] = 63,
["id"] = "Qfg31z_0515_2307",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 87.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 436,
["jmenovatel"] = 5 },
["render"] = "\\frac{436}{5}",
["typ"] = "cislo" },
["tex"] = "87\\frac{1}{5}",
["tex_float"] = "87{,}2",
["x"] = 87,
["y"] = 1,
["z"] = 5 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "3\\frac{1}{2} \\cdot 8 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} \\cdot 8 \\cdot 3\\frac{2}{5} + (-8)",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.32, bodu=43, $$10 \cdot \frac{\frac{9}{12}}{3\frac{1}{5}}=\textcolor{white}{2\frac{11}{32}}$$return {
["body"] = 43,
["id"] = "v21ojA_0515_2307",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 2.34375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 32 },
["render"] = "\\frac{150}{64}",
["typ"] = "cislo" },
["tex"] = "2\\frac{11}{32}",
["x"] = 2,
["y"] = 11,
["z"] = 32 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.32",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["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"] = "\\frac{9}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{12}}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{\\frac{9}{12}}{3\\frac{1}{5}}",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.33, bodu=27, $$11 - (\frac{-10}{11} - 3)=\textcolor{white}{14\frac{10}{11}}$$return {
["body"] = 27,
["id"] = "bIf2uD_0515_2307",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 14.909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 164,
["jmenovatel"] = 11 },
["render"] = "\\frac{164}{11}",
["typ"] = "cislo" },
["tex"] = "14\\frac{10}{11}",
["x"] = 14,
["y"] = 10,
["z"] = 11 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{11} - 3",
["typ"] = "minus" },
["render"] = "(\\frac{-10}{11} - 3)",
["typ"] = "zavorka" },
["render"] = "11 - (\\frac{-10}{11} - 3)",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.34, bodu=45, $$9 \cdot \frac{5}{3\frac{1}{5} - 11}=\textcolor{white}{-5\frac{10}{13}}$$return {
["body"] = 45,
["id"] = "CFNCg0_0515_2307",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = -5.7692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 13 },
["render"] = "\\frac{-225}{39}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{10}{13}",
["x"] = -5,
["y"] = 10,
["z"] = 13 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 11",
["typ"] = "minus" },
["render"] = "\\frac{5}{3\\frac{1}{5} - 11}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{5}{3\\frac{1}{5} - 11}",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.35, bodu=28, $$\frac{-10}{5} \cdot 8 \cdot 6=\textcolor{white}{-96}$$return {
["body"] = 28,
["id"] = "fwJWdU_0515_2307",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -96,
["jmenovatel"] = 1 },
["render"] = "\\frac{-96}{1}",
["typ"] = "cislo" },
["tex"] = "-96",
["tex_float"] = "-96",
["x"] = -96 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{-10}{5} \\cdot 8 \\cdot 6",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.36, bodu=80, $$((10 + 3\frac{2}{4})^2 + (-7)) \cdot 8 + 4=\textcolor{white}{1406}$$return {
["body"] = 80,
["id"] = "wSXNxr_0515_2307",
["obtiznost"] = 0.8532,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1406,
["jmenovatel"] = 1 },
["render"] = "\\frac{1406}{1}",
["typ"] = "cislo" },
["tex"] = "1406",
["tex_float"] = "1406",
["x"] = 1406 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{2}{4}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 3\\frac{2}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(10 + 3\\frac{2}{4})^2 + (-7)",
["typ"] = "plus" },
["render"] = "((10 + 3\\frac{2}{4})^2 + (-7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "((10 + 3\\frac{2}{4})^2 + (-7)) \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "((10 + 3\\frac{2}{4})^2 + (-7)) \\cdot 8 + 4",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.37, bodu=15, $$(9 + 11 + (-11)) \cdot (9 - 7)=\textcolor{white}{18}$$return {
["body"] = 15,
["id"] = "Uw8TEx_0515_2307",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "\\frac{18}{1}",
["typ"] = "cislo" },
["tex"] = "18",
["tex_float"] = "18",
["x"] = 18 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.37",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 + 11 + (-11)",
["typ"] = "plus" },
["render"] = "(9 + 11 + (-11))",
["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"] = "minus" },
["render"] = "(9 - 7)",
["typ"] = "zavorka" },
["render"] = "(9 + 11 + (-11)) \\cdot (9 - 7)",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.38, bodu=49, $$4 \cdot -10 - (9 - 3\frac{4}{10})=\textcolor{white}{-45{,}6}$$return {
["body"] = 49,
["id"] = "RErdbc_0515_2307",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -45.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -228,
["jmenovatel"] = 5 },
["render"] = "\\frac{-228}{5}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{3}{5}",
["tex_float"] = "-45{,}6",
["x"] = -45,
["y"] = 3,
["z"] = 5 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "9 - 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(9 - 3\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "4 \\cdot -10 - (9 - 3\\frac{4}{10})",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.39, bodu=50, $$9 - (3\frac{1}{4} + 11 + 9 \cdot 4)=\textcolor{white}{-41{,}25}$$return {
["body"] = 50,
["id"] = "ZzYAPB_0515_2307",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = -41.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -165,
["jmenovatel"] = 4 },
["render"] = "\\frac{-165}{4}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{1}{4}",
["tex_float"] = "-41{,}25",
["x"] = -41,
["y"] = 1,
["z"] = 4 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} + 11",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4",
["typ"] = "krat" },
["render"] = "3\\frac{1}{4} + 11 + 9 \\cdot 4",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{4} + 11 + 9 \\cdot 4)",
["typ"] = "zavorka" },
["render"] = "9 - (3\\frac{1}{4} + 11 + 9 \\cdot 4)",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.4, bodu=34, $$\frac{(\frac{6}{-5})^2}{\frac{9}{12 - 15}}=\textcolor{white}{-0{,}48}$$return {
["body"] = 34,
["id"] = "vwvvo1_0515_2307",
["obtiznost"] = 0.4244,
["reseni"] = {
["float"] = -0.48,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 25 },
["render"] = "\\frac{36}{-75}",
["typ"] = "cislo" },
["tex"] = "-\\frac{12}{25}",
["tex_float"] = "-0{,}48",
["y"] = -12,
["z"] = 25 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.4",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{-5})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "12 - 15",
["typ"] = "minus" },
["render"] = "\\frac{9}{12 - 15}",
["typ"] = "lomeno" },
["render"] = "\\frac{(\\frac{6}{-5})^2}{\\frac{9}{12 - 15}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.41, bodu=52, $$\frac{11}{-9} - (4\frac{4}{6} - (-12 + 10))=\textcolor{white}{-7\frac{8}{9}}$$return {
["body"] = 52,
["id"] = "lVOYoL_0515_2307",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -7.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -71,
["jmenovatel"] = 9 },
["render"] = "\\frac{-213}{27}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{8}{9}",
["x"] = -7,
["y"] = 8,
["z"] = 9 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 + 10",
["typ"] = "plus" },
["render"] = "(-12 + 10)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{6} - (-12 + 10)",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{6} - (-12 + 10))",
["typ"] = "zavorka" },
["render"] = "\\frac{11}{-9} - (4\\frac{4}{6} - (-12 + 10))",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.42, bodu=53, $$\frac{1\frac{2}{5} \cdot 7}{\frac{10}{7}}=\textcolor{white}{6{,}86}$$return {
["body"] = 53,
["id"] = "Mz72qA_0515_2307",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 6.86,
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 50 },
["render"] = "\\frac{343}{50}",
["typ"] = "cislo" },
["tex"] = "6\\frac{43}{50}",
["tex_float"] = "6{,}86",
["x"] = 6,
["y"] = 43,
["z"] = 50 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "\\frac{1\\frac{2}{5} \\cdot 7}{\\frac{10}{7}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.43, bodu=59, $$\frac{(13 - (-8)) \cdot 13 + 2\frac{5}{9}}{(-3 + 13)^2}=\textcolor{white}{2\frac{34}{45}}$$return {
["body"] = 59,
["id"] = "4ngdR1_0515_2307",
["obtiznost"] = 0.6704,
["reseni"] = {
["float"] = 2.7555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 124,
["jmenovatel"] = 45 },
["render"] = "\\frac{2480}{900}",
["typ"] = "cislo" },
["tex"] = "2\\frac{34}{45}",
["x"] = 2,
["y"] = 34,
["z"] = 45 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "13 - (-8)",
["typ"] = "minus" },
["render"] = "(13 - (-8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(13 - (-8)) \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(13 - (-8)) \\cdot 13 + 2\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-3 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-3 + 13)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(13 - (-8)) \\cdot 13 + 2\\frac{5}{9}}{(-3 + 13)^2}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.44, bodu=36, $$-9 \cdot \frac{-7 + 11}{13} + (-10)=\textcolor{white}{-12\frac{10}{13}}$$return {
["body"] = 36,
["id"] = "61qOr6_0515_2307",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -12.769230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -166,
["jmenovatel"] = 13 },
["render"] = "\\frac{-166}{13}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{10}{13}",
["x"] = -12,
["y"] = 10,
["z"] = 13 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-7 + 11}{13}",
["typ"] = "lomeno" },
["render"] = "-9 \\cdot \\frac{-7 + 11}{13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 \\cdot \\frac{-7 + 11}{13} + (-10)",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.45, bodu=47, $$\frac{-10 - 10}{(\frac{(6 + (-3))^2}{-13})^2}=\textcolor{white}{-41\frac{59}{81}}$$return {
["body"] = 47,
["id"] = "DD3hyZ_0515_2307",
["obtiznost"] = 0.554,
["reseni"] = {
["float"] = -41.728395061728,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3380,
["jmenovatel"] = 81 },
["render"] = "\\frac{-3380}{81}",
["typ"] = "cislo" },
["tex"] = "-41\\frac{59}{81}",
["x"] = -41,
["y"] = 59,
["z"] = 81 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 - 10",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "6 + (-3)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + (-3))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{(6 + (-3))^2}{-13}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(6 + (-3))^2}{-13})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-10 - 10}{(\\frac{(6 + (-3))^2}{-13})^2}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.46, bodu=81, $$15 \cdot 11 \cdot (2\frac{1}{4} + (-11 - 2\frac{5}{9}))=\textcolor{white}{-1865\frac{5}{12}}$$return {
["body"] = 81,
["id"] = "Pl4PKh_0515_2307",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -1865.4166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22385,
["jmenovatel"] = 12 },
["render"] = "\\frac{-67155}{36}",
["typ"] = "cislo" },
["tex"] = "-1865\\frac{5}{12}",
["x"] = -1865,
["y"] = 5,
["z"] = 12 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "15 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-11 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "2\\frac{1}{4} + (-11 - 2\\frac{5}{9})",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{4} + (-11 - 2\\frac{5}{9}))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot 11 \\cdot (2\\frac{1}{4} + (-11 - 2\\frac{5}{9}))",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.47, bodu=59, $$15 \cdot (10 - 2\frac{1}{5}) \cdot (-11 - (-6))=\textcolor{white}{-585}$$return {
["body"] = 59,
["id"] = "6Kz6wQ_0515_2307",
["obtiznost"] = 0.67,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -585,
["jmenovatel"] = 1 },
["render"] = "\\frac{-585}{1}",
["typ"] = "cislo" },
["tex"] = "-585",
["tex_float"] = "-585",
["x"] = -585 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 - 2\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(10 - 2\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (10 - 2\\frac{1}{5})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-11 - (-6)",
["typ"] = "minus" },
["render"] = "(-11 - (-6))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot (10 - 2\\frac{1}{5}) \\cdot (-11 - (-6))",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.48, bodu=60, $$8 \cdot 13 \cdot (1\frac{2}{5} + (-4) + 10 + 8)=\textcolor{white}{1601{,}6}$$return {
["body"] = 60,
["id"] = "P0Ou9i_0515_2307",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 1601.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8008,
["jmenovatel"] = 5 },
["render"] = "\\frac{8008}{5}",
["typ"] = "cislo" },
["tex"] = "1601\\frac{3}{5}",
["tex_float"] = "1601{,}6",
["x"] = 1601,
["y"] = 3,
["z"] = 5 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + (-4)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + (-4) + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + (-4) + 10 + 8",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{5} + (-4) + 10 + 8)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 13 \\cdot (1\\frac{2}{5} + (-4) + 10 + 8)",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.49, bodu=85, $$(-11 - 6) \cdot 8 \cdot (3\frac{4}{12} + 3\frac{5}{11})=\textcolor{white}{-923\frac{5}{33}}$$return {
["body"] = 85,
["id"] = "bAGdbs_0515_2307",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -923.15151515152,
["objekt"] = {
["hodnota"] = {
["citatel"] = -30464,
["jmenovatel"] = 33 },
["render"] = "\\frac{-30464}{33}",
["typ"] = "cislo" },
["tex"] = "-923\\frac{5}{33}",
["x"] = -923,
["y"] = 5,
["z"] = 33 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.49",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 - 6",
["typ"] = "minus" },
["render"] = "(-11 - 6)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} + 3\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{12} + 3\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (3\\frac{4}{12} + 3\\frac{5}{11})",
["typ"] = "krat" },
["render"] = "(-11 - 6) \\cdot 8 \\cdot (3\\frac{4}{12} + 3\\frac{5}{11})",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.5, bodu=88, $$\frac{\frac{-8}{(10 + 13)^2}}{6} + 3\frac{5}{10}=\textcolor{white}{3\frac{1579}{3174}}$$return {
["body"] = 88,
["id"] = "rDrLJj_0515_2307",
["obtiznost"] = 0.912,
["reseni"] = {
["float"] = 3.497479521109,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11101,
["jmenovatel"] = 3174 },
["render"] = "\\frac{11101}{3174}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1579}{3174}",
["x"] = 3,
["y"] = 1579,
["z"] = 3174 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "10 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 13)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-8}{(10 + 13)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8}{(10 + 13)^2}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8}{(10 + 13)^2}}{6} + 3\\frac{5}{10}",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.51, bodu=153, $$-9 + (4\frac{3}{6} - 7)^4 + 4\frac{4}{8} + (-5 - 4\frac{3}{6})=\textcolor{white}{25\frac{1}{16}}$$return {
["body"] = 153,
["id"] = "W1lKTy_0515_2307",
["obtiznost"] = 1.3664,
["reseni"] = {
["float"] = 25.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 401,
["jmenovatel"] = 16 },
["render"] = "\\frac{802}{32}",
["typ"] = "cislo" },
["tex"] = "25\\frac{1}{16}",
["x"] = 25,
["y"] = 1,
["z"] = 16 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(4\\frac{3}{6} - 7)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{6} - 7)^4 + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "-9 + (4\\frac{3}{6} - 7)^4 + 4\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-5 - 4\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "-9 + (4\\frac{3}{6} - 7)^4 + 4\\frac{4}{8} + (-5 - 4\\frac{3}{6})",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.52, bodu=43, $$\frac{-8}{-4} \cdot -12 \cdot 7=\textcolor{white}{-168}$$return {
["body"] = 43,
["id"] = "XJmhtL_0515_2307",
["obtiznost"] = 0.52,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -168,
["jmenovatel"] = 1 },
["render"] = "\\frac{-168}{1}",
["typ"] = "cislo" },
["tex"] = "-168",
["x"] = -168 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-4} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-4} \\cdot -12 \\cdot 7",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.53, bodu=69, $$-6 + (-10) + \frac{14}{(\frac{3\frac{3}{9}}{10})^4}=\textcolor{white}{1118}$$return {
["body"] = 69,
["id"] = "NdF7wg_0515_2307",
["obtiznost"] = 0.7628,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1118,
["jmenovatel"] = 1 },
["render"] = "\\frac{1118}{1}",
["typ"] = "cislo" },
["tex"] = "1118",
["tex_float"] = "1118",
["x"] = 1118 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-6 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{9}}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{3\\frac{3}{9}}{10})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{14}{(\\frac{3\\frac{3}{9}}{10})^4}",
["typ"] = "lomeno" },
["render"] = "-6 + (-10) + \\frac{14}{(\\frac{3\\frac{3}{9}}{10})^4}",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.54, bodu=92, $$(-7 + (-18 - (-13))) \cdot (9 - 3\frac{2}{9} - 3\frac{1}{2})=\textcolor{white}{-27\frac{1}{3}}$$return {
["body"] = 92,
["id"] = "9Axxyo_0515_2307",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -27.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -82,
["jmenovatel"] = 3 },
["render"] = "\\frac{-492}{18}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{1}{3}",
["x"] = -27,
["y"] = 1,
["z"] = 3 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.54",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-18 - (-13)",
["typ"] = "minus" },
["render"] = "-7 + (-18 - (-13))",
["typ"] = "plus" },
["render"] = "(-7 + (-18 - (-13)))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "9 - 3\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "9 - 3\\frac{2}{9} - 3\\frac{1}{2}",
["typ"] = "minus" },
["render"] = "(9 - 3\\frac{2}{9} - 3\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "(-7 + (-18 - (-13))) \\cdot (9 - 3\\frac{2}{9} - 3\\frac{1}{2})",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.55, bodu=46, $$9 - (\frac{-6}{\frac{11}{12}} + 8)=\textcolor{white}{7\frac{6}{11}}$$return {
["body"] = 46,
["id"] = "tDZxfw_0515_2307",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 7.5454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 83,
["jmenovatel"] = 11 },
["render"] = "\\frac{83}{11}",
["typ"] = "cislo" },
["tex"] = "7\\frac{6}{11}",
["x"] = 7,
["y"] = 6,
["z"] = 11 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{-6}{\\frac{11}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{\\frac{11}{12}} + 8",
["typ"] = "plus" },
["render"] = "(\\frac{-6}{\\frac{11}{12}} + 8)",
["typ"] = "zavorka" },
["render"] = "9 - (\\frac{-6}{\\frac{11}{12}} + 8)",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.56, bodu=94, $$4\frac{4}{10} - \frac{-13 + (-9)}{3\frac{3}{9} - 6}=\textcolor{white}{-3{,}85}$$return {
["body"] = 94,
["id"] = "jitPFX_0515_2307",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -3.85,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 20 },
["render"] = "\\frac{-77}{20}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{17}{20}",
["tex_float"] = "-3{,}85",
["x"] = -3,
["y"] = 17,
["z"] = 20 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-13 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{9} - 6",
["typ"] = "minus" },
["render"] = "\\frac{-13 + (-9)}{3\\frac{3}{9} - 6}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{10} - \\frac{-13 + (-9)}{3\\frac{3}{9} - 6}",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.57, bodu=95, $$6 - (13 \cdot 2\frac{3}{8} - 3\frac{4}{8} \cdot -6)=\textcolor{white}{-45{,}875}$$return {
["body"] = 95,
["id"] = "EWsZ59_0515_2307",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -45.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -367,
["jmenovatel"] = 8 },
["render"] = "\\frac{-367}{8}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{7}{8}",
["tex_float"] = "-45{,}875",
["x"] = -45,
["y"] = 7,
["z"] = 8 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot -6",
["typ"] = "krat" },
["render"] = "13 \\cdot 2\\frac{3}{8} - 3\\frac{4}{8} \\cdot -6",
["typ"] = "minus" },
["render"] = "(13 \\cdot 2\\frac{3}{8} - 3\\frac{4}{8} \\cdot -6)",
["typ"] = "zavorka" },
["render"] = "6 - (13 \\cdot 2\\frac{3}{8} - 3\\frac{4}{8} \\cdot -6)",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.58, bodu=71, $$\frac{\frac{4\frac{1}{7}}{13}}{-11 \cdot 5}=\textcolor{white}{-\frac{29}{5005}}$$return {
["body"] = 71,
["id"] = "2ViOLX_0515_2307",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -0.0057942057942058,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29,
["jmenovatel"] = 5005 },
["render"] = "\\frac{29}{-5005}",
["typ"] = "cislo" },
["tex"] = "-\\frac{29}{5005}",
["y"] = -29,
["z"] = 5005 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{7}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{4\\frac{1}{7}}{13}}{-11 \\cdot 5}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.59, bodu=98, $$(-9 + (-15)) \cdot (1\frac{5}{10} + 2\frac{4}{9}) \cdot -16=\textcolor{white}{1514\frac{2}{3}}$$return {
["body"] = 98,
["id"] = "Im3Hjw_0515_2307",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = 1514.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4544,
["jmenovatel"] = 3 },
["render"] = "\\frac{13632}{9}",
["typ"] = "cislo" },
["tex"] = "1514\\frac{2}{3}",
["x"] = 1514,
["y"] = 2,
["z"] = 3 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-9 + (-15)",
["typ"] = "plus" },
["render"] = "(-9 + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{10} + 2\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{10} + 2\\frac{4}{9}) \\cdot -16",
["typ"] = "krat" },
["render"] = "(-9 + (-15)) \\cdot (1\\frac{5}{10} + 2\\frac{4}{9}) \\cdot -16",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.6, bodu=80, $$16 \cdot 7 \cdot \frac{9}{(3\frac{1}{5} - 3)^3}=\textcolor{white}{126000}$$return {
["body"] = 80,
["id"] = "U5mRpd_0515_2307",
["obtiznost"] = 0.8504,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 126000,
["jmenovatel"] = 1 },
["render"] = "\\frac{126000}{1}",
["typ"] = "cislo" },
["tex"] = "126000",
["tex_float"] = "126000",
["x"] = 126000 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "16 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 3",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3\\frac{1}{5} - 3)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(3\\frac{1}{5} - 3)^3}",
["typ"] = "lomeno" },
["render"] = "16 \\cdot 7 \\cdot \\frac{9}{(3\\frac{1}{5} - 3)^3}",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.61, bodu=75, $$\frac{12 + \frac{13}{-10}}{\frac{11}{7 - 3\frac{3}{5}}}=\textcolor{white}{3\frac{169}{550}}$$return {
["body"] = 75,
["id"] = "q0Cp1F_0515_2307",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 3.3072727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1819,
["jmenovatel"] = 550 },
["render"] = "\\frac{1819}{550}",
["typ"] = "cislo" },
["tex"] = "3\\frac{169}{550}",
["x"] = 3,
["y"] = 169,
["z"] = 550 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-10}",
["typ"] = "lomeno" },
["render"] = "12 + \\frac{13}{-10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "7 - 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{11}{7 - 3\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{12 + \\frac{13}{-10}}{\\frac{11}{7 - 3\\frac{3}{5}}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.62, bodu=185, $$\frac{\frac{2\frac{4}{9}}{(-16 + 1\frac{5}{10})^2}}{\frac{1\frac{4}{9}}{-9}}=\textcolor{white}{-\frac{792}{10933}}$$return {
["body"] = 185,
["id"] = "NBxbJK_0515_2307",
["obtiznost"] = 1.558,
["reseni"] = {
["float"] = -0.07244123296442,
["objekt"] = {
["hodnota"] = {
["citatel"] = -792,
["jmenovatel"] = 10933 },
["render"] = "\\frac{7128}{-98397}",
["typ"] = "cislo" },
["tex"] = "-\\frac{792}{10933}",
["y"] = -792,
["z"] = 10933 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-16 + 1\\frac{5}{10}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-16 + 1\\frac{5}{10})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{4}{9}}{(-16 + 1\\frac{5}{10})^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{2\\frac{4}{9}}{(-16 + 1\\frac{5}{10})^2}}{\\frac{1\\frac{4}{9}}{-9}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.63, bodu=104, $$17 - \frac{9}{-18 + 3\frac{4}{10} - (-11) + 2\frac{5}{12}}=\textcolor{white}{24\frac{43}{71}}$$return {
["body"] = 104,
["id"] = "wKNJ6T_0515_2307",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 24.605633802817,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1747,
["jmenovatel"] = 71 },
["render"] = "\\frac{1747}{71}",
["typ"] = "cislo" },
["tex"] = "24\\frac{43}{71}",
["x"] = 24,
["y"] = 43,
["z"] = 71 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - (-11)",
["typ"] = "minus" },
["render"] = "-18 + 3\\frac{4}{10} - (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-18 + 3\\frac{4}{10} - (-11) + 2\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "\\frac{9}{-18 + 3\\frac{4}{10} - (-11) + 2\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "17 - \\frac{9}{-18 + 3\\frac{4}{10} - (-11) + 2\\frac{5}{12}}",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.64, bodu=67, $$\frac{(10 + 6)^2}{-6 \cdot (-14 - 16 + (-9)) + 9}=\textcolor{white}{1\frac{13}{243}}$$return {
["body"] = 67,
["id"] = "DF8cqh_0515_2307",
["obtiznost"] = 0.7428,
["reseni"] = {
["float"] = 1.0534979423868,
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 243 },
["render"] = "\\frac{256}{243}",
["typ"] = "cislo" },
["tex"] = "1\\frac{13}{243}",
["x"] = 1,
["y"] = 13,
["z"] = 243 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-14 - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-14 - 16 + (-9)",
["typ"] = "plus" },
["render"] = "(-14 - 16 + (-9))",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (-14 - 16 + (-9))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot (-14 - 16 + (-9)) + 9",
["typ"] = "plus" },
["render"] = "\\frac{(10 + 6)^2}{-6 \\cdot (-14 - 16 + (-9)) + 9}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.65, bodu=135, $$(\frac{4\frac{4}{9}}{16} - 2\frac{2}{3}) \cdot (-13 + 12 + 1\frac{4}{6})=\textcolor{white}{-1\frac{16}{27}}$$return {
["body"] = 135,
["id"] = "ur3hoh_0515_2307",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -1.5925925925926,
["objekt"] = {
["hodnota"] = {
["citatel"] = -43,
["jmenovatel"] = 27 },
["render"] = "\\frac{-86}{54}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{16}{27}",
["x"] = -1,
["y"] = 16,
["z"] = 27 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.65",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9}}{16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9}}{16} - 2\\frac{2}{3}",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{4}{9}}{16} - 2\\frac{2}{3})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-13 + 12 + 1\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(-13 + 12 + 1\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "(\\frac{4\\frac{4}{9}}{16} - 2\\frac{2}{3}) \\cdot (-13 + 12 + 1\\frac{4}{6})",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.66, bodu=168, $$\frac{2\frac{3}{11} + 1\frac{4}{7}}{4\frac{3}{7} \cdot 5} + 2\frac{2}{3} - 8=\textcolor{white}{-5\frac{817}{5115}}$$return {
["body"] = 168,
["id"] = "A9XLBl_0515_2307",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -5.1597262952102,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26392,
["jmenovatel"] = 5115 },
["render"] = "\\frac{-26392}{5115}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{817}{5115}",
["x"] = -5,
["y"] = 817,
["z"] = 5115 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} + 1\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{3}{11} + 1\\frac{4}{7}}{4\\frac{3}{7} \\cdot 5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{3} - 8",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{11} + 1\\frac{4}{7}}{4\\frac{3}{7} \\cdot 5} + 2\\frac{2}{3} - 8",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.67, bodu=59, $$\frac{12}{9 + (13 + 11) \cdot \frac{8}{-17}}=\textcolor{white}{-5\frac{3}{13}}$$return {
["body"] = 59,
["id"] = "vJLwKF_0515_2307",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -5.2307692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = -68,
["jmenovatel"] = 13 },
["render"] = "\\frac{204}{-39}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{3}{13}",
["x"] = -5,
["y"] = 3,
["z"] = 13 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "13 + 11",
["typ"] = "plus" },
["render"] = "(13 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-17}",
["typ"] = "lomeno" },
["render"] = "(13 + 11) \\cdot \\frac{8}{-17}",
["typ"] = "krat" },
["render"] = "9 + (13 + 11) \\cdot \\frac{8}{-17}",
["typ"] = "plus" },
["render"] = "\\frac{12}{9 + (13 + 11) \\cdot \\frac{8}{-17}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.68, bodu=140, $$\frac{4\frac{5}{8} \cdot (\frac{8}{4\frac{1}{4}} + (-3)) - 3\frac{4}{9}}{8}=\textcolor{white}{-1\frac{751}{9792}}$$return {
["body"] = 140,
["id"] = "YE5jsi_0515_2307",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -1.0766952614379,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10543,
["jmenovatel"] = 9792 },
["render"] = "\\frac{-10543}{9792}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{751}{9792}",
["x"] = -1,
["y"] = 751,
["z"] = 9792 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{4\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{4\\frac{1}{4}} + (-3)",
["typ"] = "plus" },
["render"] = "(\\frac{8}{4\\frac{1}{4}} + (-3))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{8} \\cdot (\\frac{8}{4\\frac{1}{4}} + (-3))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} \\cdot (\\frac{8}{4\\frac{1}{4}} + (-3)) - 3\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8} \\cdot (\\frac{8}{4\\frac{1}{4}} + (-3)) - 3\\frac{4}{9}}{8}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.69, bodu=85, $$\frac{13}{\frac{5 - 12}{13 \cdot 3\frac{5}{10}}}=\textcolor{white}{-84{,}5}$$return {
["body"] = 85,
["id"] = "IFYPSv_0515_2307",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -84.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -169,
["jmenovatel"] = 2 },
["render"] = "\\frac{169}{-2}",
["typ"] = "cislo" },
["tex"] = "-84\\frac{1}{2}",
["tex_float"] = "-84{,}5",
["x"] = -84,
["y"] = 1,
["z"] = 2 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "5 - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "\\frac{5 - 12}{13 \\cdot 3\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{\\frac{5 - 12}{13 \\cdot 3\\frac{5}{10}}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.7, bodu=143, $$2\frac{5}{6} \cdot \frac{3\frac{5}{10}}{1\frac{5}{9}} - \frac{12}{13}=\textcolor{white}{5\frac{47}{104}}$$return {
["body"] = 143,
["id"] = "ZqyV7c_0515_2307",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = 5.4519230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = 567,
["jmenovatel"] = 104 },
["render"] = "\\frac{567}{104}",
["typ"] = "cislo" },
["tex"] = "5\\frac{47}{104}",
["x"] = 5,
["y"] = 47,
["z"] = 104 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{6} \\cdot \\frac{3\\frac{5}{10}}{1\\frac{5}{9}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{13}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{6} \\cdot \\frac{3\\frac{5}{10}}{1\\frac{5}{9}} - \\frac{12}{13}",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.71, bodu=88, $$\frac{-6 + (-15 - \frac{1\frac{1}{6}}{-12})}{14 - 4}=\textcolor{white}{-2\frac{13}{144}}$$return {
["body"] = 88,
["id"] = "JTENrQ_0515_2307",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -2.0902777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -301,
["jmenovatel"] = 144 },
["render"] = "\\frac{-1505}{720}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{13}{144}",
["x"] = -2,
["y"] = 13,
["z"] = 144 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{6}}{-12}",
["typ"] = "lomeno" },
["render"] = "-15 - \\frac{1\\frac{1}{6}}{-12}",
["typ"] = "minus" },
["render"] = "-6 + (-15 - \\frac{1\\frac{1}{6}}{-12})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "14 - 4",
["typ"] = "minus" },
["render"] = "\\frac{-6 + (-15 - \\frac{1\\frac{1}{6}}{-12})}{14 - 4}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.72, bodu=150, $$\frac{(\frac{-6}{1\frac{4}{8}})^3}{4\frac{4}{8} + (-11) + (-14)} \cdot 4\frac{3}{9}=\textcolor{white}{13\frac{65}{123}}$$return {
["body"] = 150,
["id"] = "tlmNMr_0515_2307",
["obtiznost"] = 1.346,
["reseni"] = {
["float"] = 13.528455284553,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1664,
["jmenovatel"] = 123 },
["render"] = "\\frac{1664}{123}",
["typ"] = "cislo" },
["tex"] = "13\\frac{65}{123}",
["x"] = 13,
["y"] = 65,
["z"] = 123 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-6}{1\\frac{4}{8}})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} + (-11) + (-14)",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{-6}{1\\frac{4}{8}})^3}{4\\frac{4}{8} + (-11) + (-14)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-6}{1\\frac{4}{8}})^3}{4\\frac{4}{8} + (-11) + (-14)} \\cdot 4\\frac{3}{9}",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.73, bodu=180, $$\frac{\frac{3\frac{4}{7}}{3\frac{5}{10}}}{2\frac{3}{9}} \cdot 4\frac{3}{4} \cdot -9=\textcolor{white}{-18\frac{477}{686}}$$return {
["body"] = 180,
["id"] = "Tkqk7M_0515_2307",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = -18.695335276968,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12825,
["jmenovatel"] = 686 },
["render"] = "\\frac{-25650}{1372}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{477}{686}",
["x"] = -18,
["y"] = 477,
["z"] = 686 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{7}}{3\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{4}{7}}{3\\frac{5}{10}}}{2\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{4} \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{3\\frac{4}{7}}{3\\frac{5}{10}}}{2\\frac{3}{9}} \\cdot 4\\frac{3}{4} \\cdot -9",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.74, bodu=149, $$\frac{15 + 3\frac{1}{5}}{1\frac{3}{10} - 14 \cdot 3\frac{4}{12} + 12}=\textcolor{white}{-\frac{6}{11}}$$return {
["body"] = 149,
["id"] = "3qfDED_0515_2307",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = -0.54545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 11 },
["render"] = "\\frac{2730}{-5005}",
["typ"] = "cislo" },
["tex"] = "-\\frac{6}{11}",
["y"] = -6,
["z"] = 11 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "15 + 3\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 3\\frac{4}{12}",
["typ"] = "krat" },
["render"] = "1\\frac{3}{10} - 14 \\cdot 3\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{10} - 14 \\cdot 3\\frac{4}{12} + 12",
["typ"] = "plus" },
["render"] = "\\frac{15 + 3\\frac{1}{5}}{1\\frac{3}{10} - 14 \\cdot 3\\frac{4}{12} + 12}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.75, bodu=93, $$14 \cdot 6 \cdot \frac{10 + 3\frac{2}{7}}{-11}=\textcolor{white}{-101\frac{5}{11}}$$return {
["body"] = 93,
["id"] = "y03YRX_0515_2307",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -101.45454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1116,
["jmenovatel"] = 11 },
["render"] = "\\frac{-7812}{77}",
["typ"] = "cislo" },
["tex"] = "-101\\frac{5}{11}",
["x"] = -101,
["y"] = 5,
["z"] = 11 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "14 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{10 + 3\\frac{2}{7}}{-11}",
["typ"] = "lomeno" },
["render"] = "14 \\cdot 6 \\cdot \\frac{10 + 3\\frac{2}{7}}{-11}",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.76, bodu=152, $$1\frac{3}{9} \cdot (-13 - 1\frac{2}{7} - (-7 \cdot 1\frac{1}{4}))=\textcolor{white}{-7\frac{8}{21}}$$return {
["body"] = 152,
["id"] = "afNgIt_0515_2307",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -7.3809523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -155,
["jmenovatel"] = 21 },
["render"] = "\\frac{-620}{84}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{8}{21}",
["x"] = -7,
["y"] = 8,
["z"] = 21 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-13 - 1\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "-13 - 1\\frac{2}{7} - (-7 \\cdot 1\\frac{1}{4})",
["typ"] = "minus" },
["render"] = "(-13 - 1\\frac{2}{7} - (-7 \\cdot 1\\frac{1}{4}))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{9} \\cdot (-13 - 1\\frac{2}{7} - (-7 \\cdot 1\\frac{1}{4}))",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.77, bodu=154, $$4\frac{5}{11} + (-10) + \frac{9 - 2\frac{4}{9}}{\frac{15}{2\frac{5}{8}}}=\textcolor{white}{-4\frac{1577}{3960}}$$return {
["body"] = 154,
["id"] = "cP0Vop_0515_2307",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -4.3982323232323,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17417,
["jmenovatel"] = 3960 },
["render"] = "\\frac{-17417}{3960}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1577}{3960}",
["x"] = -4,
["y"] = 1577,
["z"] = 3960 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "9 - 2\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{2\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{9 - 2\\frac{4}{9}}{\\frac{15}{2\\frac{5}{8}}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{11} + (-10) + \\frac{9 - 2\\frac{4}{9}}{\\frac{15}{2\\frac{5}{8}}}",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.78, bodu=76, $$(\frac{-12}{8})^4 - (-6 \cdot -9 \cdot -15)=\textcolor{white}{815\frac{1}{16}}$$return {
["body"] = 76,
["id"] = "tCs8a9_0515_2307",
["obtiznost"] = 0.8188,
["reseni"] = {
["float"] = 815.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13041,
["jmenovatel"] = 16 },
["render"] = "\\frac{13041}{16}",
["typ"] = "cislo" },
["tex"] = "815\\frac{1}{16}",
["x"] = 815,
["y"] = 1,
["z"] = 16 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.78",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-12}{8})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -15",
["typ"] = "krat" },
["render"] = "-6 \\cdot -9 \\cdot -15",
["typ"] = "krat" },
["render"] = "(\\frac{-12}{8})^4 - (-6 \\cdot -9 \\cdot -15)",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.79, bodu=190, $$(\frac{1\frac{5}{10} - 1\frac{1}{8}}{12} + 8 + 19 + 3\frac{5}{10}) \cdot 4\frac{3}{8}=\textcolor{white}{133\frac{147}{256}}$$return {
["body"] = 190,
["id"] = "1ZmARD_0515_2307",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 133.57421875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34195,
["jmenovatel"] = 256 },
["render"] = "\\frac{34195}{256}",
["typ"] = "cislo" },
["tex"] = "133\\frac{147}{256}",
["x"] = 133,
["y"] = 147,
["z"] = 256 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.79",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - 1\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10} - 1\\frac{1}{8}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "8 + 19",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "8 + 19 + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{5}{10} - 1\\frac{1}{8}}{12} + 8 + 19 + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{5}{10} - 1\\frac{1}{8}}{12} + 8 + 19 + 3\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{5}{10} - 1\\frac{1}{8}}{12} + 8 + 19 + 3\\frac{5}{10}) \\cdot 4\\frac{3}{8}",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.8, bodu=128, $$\frac{(-14 + 2\frac{3}{10}) \cdot (2\frac{3}{10} - (-13)) \cdot -10}{16}=\textcolor{white}{111\frac{141}{160}}$$return {
["body"] = 128,
["id"] = "s6sXq5_0515_2307",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 111.88125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17901,
["jmenovatel"] = 160 },
["render"] = "\\frac{17901}{160}",
["typ"] = "cislo" },
["tex"] = "111\\frac{141}{160}",
["x"] = 111,
["y"] = 141,
["z"] = 160 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(-14 + 2\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - (-13)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{10} - (-13))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{10} - (-13)) \\cdot -10",
["typ"] = "krat" },
["render"] = "(-14 + 2\\frac{3}{10}) \\cdot (2\\frac{3}{10} - (-13)) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{(-14 + 2\\frac{3}{10}) \\cdot (2\\frac{3}{10} - (-13)) \\cdot -10}{16}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.81, bodu=193, $$\frac{1\frac{3}{13}}{3\frac{1}{8}} - (-4 + (-14) + 8 \cdot 2\frac{2}{7}) - 1\frac{4}{11}=\textcolor{white}{-1\frac{6394}{25025}}$$return {
["body"] = 193,
["id"] = "7TbDFf_0515_2307",
["obtiznost"] = 1.61,
["reseni"] = {
["float"] = -1.2555044955045,
["objekt"] = {
["hodnota"] = {
["citatel"] = -31419,
["jmenovatel"] = 25025 },
["render"] = "\\frac{-31419}{25025}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{6394}{25025}",
["x"] = -1,
["y"] = 6394,
["z"] = 25025 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 13 },
["render"] = "1\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{13}}{3\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-4 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "8 \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "-4 + (-14) + 8 \\cdot 2\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(-4 + (-14) + 8 \\cdot 2\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{3}{13}}{3\\frac{1}{8}} - (-4 + (-14) + 8 \\cdot 2\\frac{2}{7})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{13}}{3\\frac{1}{8}} - (-4 + (-14) + 8 \\cdot 2\\frac{2}{7}) - 1\\frac{4}{11}",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.82, bodu=195, $$3\frac{1}{7} - 4\frac{3}{12} + 2\frac{3}{10} \cdot \frac{14}{\frac{2\frac{3}{8}}{14}}=\textcolor{white}{188\frac{1871}{2660}}$$return {
["body"] = 195,
["id"] = "A97UNP_0515_2307",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = 188.70338345865,
["objekt"] = {
["hodnota"] = {
["citatel"] = 501951,
["jmenovatel"] = 2660 },
["render"] = "\\frac{501951}{2660}",
["typ"] = "cislo" },
["tex"] = "188\\frac{1871}{2660}",
["x"] = 188,
["y"] = 1871,
["z"] = 2660 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - 4\\frac{3}{12}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{8}}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{\\frac{2\\frac{3}{8}}{14}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{10} \\cdot \\frac{14}{\\frac{2\\frac{3}{8}}{14}}",
["typ"] = "krat" },
["render"] = "3\\frac{1}{7} - 4\\frac{3}{12} + 2\\frac{3}{10} \\cdot \\frac{14}{\\frac{2\\frac{3}{8}}{14}}",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.83, bodu=163, $$\frac{-21 + 11 \cdot 3\frac{3}{9}}{(15 - 2\frac{4}{12}) \cdot (-18 + 4\frac{3}{7})}=\textcolor{white}{-\frac{329}{3610}}$$return {
["body"] = 163,
["id"] = "LBh9ix_0515_2307",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -0.091135734072022,
["objekt"] = {
["hodnota"] = {
["citatel"] = -329,
["jmenovatel"] = 3610 },
["render"] = "\\frac{987}{-10830}",
["typ"] = "cislo" },
["tex"] = "-\\frac{329}{3610}",
["y"] = -329,
["z"] = 3610 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 3\\frac{3}{9}",
["typ"] = "krat" },
["render"] = "-21 + 11 \\cdot 3\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "15 - 2\\frac{4}{12}",
["typ"] = "minus" },
["render"] = "(15 - 2\\frac{4}{12})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-18 + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(-18 + 4\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "(15 - 2\\frac{4}{12}) \\cdot (-18 + 4\\frac{3}{7})",
["typ"] = "krat" },
["render"] = "\\frac{-21 + 11 \\cdot 3\\frac{3}{9}}{(15 - 2\\frac{4}{12}) \\cdot (-18 + 4\\frac{3}{7})}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.84, bodu=199, $$\frac{-11}{(-8 - (3\frac{1}{11} - 2\frac{5}{8})) \cdot (3\frac{5}{11} - 3\frac{3}{7})}=\textcolor{white}{50\frac{18}{745}}$$return {
["body"] = 199,
["id"] = "EC5bV4_0515_2307",
["obtiznost"] = 1.64,
["reseni"] = {
["float"] = 50.024161073826,
["objekt"] = {
["hodnota"] = {
["citatel"] = 37268,
["jmenovatel"] = 745 },
["render"] = "\\frac{-37268}{-745}",
["typ"] = "cislo" },
["tex"] = "50\\frac{18}{745}",
["x"] = 50,
["y"] = 18,
["z"] = 745 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{11} - 2\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{11} - 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "-8 - (3\\frac{1}{11} - 2\\frac{5}{8})",
["typ"] = "minus" },
["render"] = "(-8 - (3\\frac{1}{11} - 2\\frac{5}{8}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} - 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{11} - 3\\frac{3}{7})",
["typ"] = "zavorka" },
["render"] = "(-8 - (3\\frac{1}{11} - 2\\frac{5}{8})) \\cdot (3\\frac{5}{11} - 3\\frac{3}{7})",
["typ"] = "krat" },
["render"] = "\\frac{-11}{(-8 - (3\\frac{1}{11} - 2\\frac{5}{8})) \\cdot (3\\frac{5}{11} - 3\\frac{3}{7})}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.85, bodu=264, $$1\frac{2}{6} - (-4) + (16 - 3\frac{5}{10}) \cdot (3\frac{2}{8} + 1\frac{5}{10})^2 + 3\frac{2}{9}=\textcolor{white}{290\frac{169}{288}}$$return {
["body"] = 264,
["id"] = "r9c0oR_0515_2307",
["obtiznost"] = 2.0008,
["reseni"] = {
["float"] = 290.58680555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 83689,
["jmenovatel"] = 288 },
["render"] = "\\frac{251067}{864}",
["typ"] = "cislo" },
["tex"] = "290\\frac{169}{288}",
["x"] = 290,
["y"] = 169,
["z"] = 288 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} - (-4)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "16 - 3\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(16 - 3\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} + 1\\frac{5}{10}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{2}{8} + 1\\frac{5}{10})^2",
["typ"] = "mocnina" },
["render"] = "(16 - 3\\frac{5}{10}) \\cdot (3\\frac{2}{8} + 1\\frac{5}{10})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(16 - 3\\frac{5}{10}) \\cdot (3\\frac{2}{8} + 1\\frac{5}{10})^2 + 3\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "1\\frac{2}{6} - (-4) + (16 - 3\\frac{5}{10}) \\cdot (3\\frac{2}{8} + 1\\frac{5}{10})^2 + 3\\frac{2}{9}",
["typ"] = "plus" } }
seed: szt3ZiHVyR8bqL0udml8_0.86, bodu=137, $$\frac{3\frac{2}{3} + (-23) - 4\frac{2}{10}}{\frac{18}{21 \cdot 14}}=\textcolor{white}{-384\frac{17}{45}}$$return {
["body"] = 137,
["id"] = "vUirGn_0515_2307",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -384.37777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17297,
["jmenovatel"] = 45 },
["render"] = "\\frac{-17297}{45}",
["typ"] = "cislo" },
["tex"] = "-384\\frac{17}{45}",
["x"] = -384,
["y"] = 17,
["z"] = 45 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{3} + (-23)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{3} + (-23) - 4\\frac{2}{10}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "21 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{18}{21 \\cdot 14}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{3} + (-23) - 4\\frac{2}{10}}{\\frac{18}{21 \\cdot 14}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.87, bodu=110, $$\frac{-15 - (-13 - (-11))^3 \cdot 13 + 15}{3\frac{5}{10}}=\textcolor{white}{29\frac{5}{7}}$$return {
["body"] = 110,
["id"] = "n680hm_0515_2307",
["obtiznost"] = 1.0736,
["reseni"] = {
["float"] = 29.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 208,
["jmenovatel"] = 7 },
["render"] = "\\frac{208}{7}",
["typ"] = "cislo" },
["tex"] = "29\\frac{5}{7}",
["x"] = 29,
["y"] = 5,
["z"] = 7 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-13 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-13 - (-11))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-13 - (-11))^3 \\cdot 13",
["typ"] = "krat" },
["render"] = "-15 - (-13 - (-11))^3 \\cdot 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-15 - (-13 - (-11))^3 \\cdot 13 + 15",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-15 - (-13 - (-11))^3 \\cdot 13 + 15}{3\\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.88, bodu=172, $$(-15 \cdot 2\frac{3}{8} - (3\frac{1}{8} - 1\frac{2}{9} - 9)) \cdot 24=\textcolor{white}{-684\frac{2}{3}}$$return {
["body"] = 172,
["id"] = "dtXpba_0515_2307",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = -684.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2054,
["jmenovatel"] = 3 },
["render"] = "\\frac{-24648}{36}",
["typ"] = "cislo" },
["tex"] = "-684\\frac{2}{3}",
["x"] = -684,
["y"] = 2,
["z"] = 3 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.88",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - 1\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - 1\\frac{2}{9} - 9",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - 1\\frac{2}{9} - 9)",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot 2\\frac{3}{8} - (3\\frac{1}{8} - 1\\frac{2}{9} - 9)",
["typ"] = "minus" },
["render"] = "(-15 \\cdot 2\\frac{3}{8} - (3\\frac{1}{8} - 1\\frac{2}{9} - 9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["render"] = "(-15 \\cdot 2\\frac{3}{8} - (3\\frac{1}{8} - 1\\frac{2}{9} - 9)) \\cdot 24",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.89, bodu=207, $$(-14 \cdot 3\frac{2}{4} + \frac{4\frac{3}{11}}{-12}) \cdot \frac{3\frac{2}{9}}{4\frac{5}{11}}=\textcolor{white}{-35\frac{3715}{5292}}$$return {
["body"] = 207,
["id"] = "JM9a9x_0515_2307",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -35.702003023432,
["objekt"] = {
["hodnota"] = {
["citatel"] = -188935,
["jmenovatel"] = 5292 },
["render"] = "\\frac{-2078285}{58212}",
["typ"] = "cislo" },
["tex"] = "-35\\frac{3715}{5292}",
["x"] = -35,
["y"] = 3715,
["z"] = 5292 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{11}}{-12}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot 3\\frac{2}{4} + \\frac{4\\frac{3}{11}}{-12}",
["typ"] = "plus" },
["render"] = "(-14 \\cdot 3\\frac{2}{4} + \\frac{4\\frac{3}{11}}{-12})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9}}{4\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "(-14 \\cdot 3\\frac{2}{4} + \\frac{4\\frac{3}{11}}{-12}) \\cdot \\frac{3\\frac{2}{9}}{4\\frac{5}{11}}",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.9, bodu=239, $$\frac{\frac{3\frac{1}{7}}{3\frac{2}{10}}}{(\frac{7 \cdot 3\frac{4}{7}}{17})^2}=\textcolor{white}{\frac{3179}{7000}}$$return {
["body"] = 239,
["id"] = "zgM8HZ_0515_2307",
["obtiznost"] = 1.8656,
["reseni"] = {
["float"] = 0.45414285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3179,
["jmenovatel"] = 7000 },
["render"] = "\\frac{15895}{35000}",
["typ"] = "cislo" },
["tex"] = "\\frac{3179}{7000}",
["y"] = 3179,
["z"] = 7000 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7}}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 3\\frac{4}{7}}{17}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7 \\cdot 3\\frac{4}{7}}{17})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{3\\frac{1}{7}}{3\\frac{2}{10}}}{(\\frac{7 \\cdot 3\\frac{4}{7}}{17})^2}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.91, bodu=211, $$\frac{1\frac{3}{8} - 11}{(2\frac{3}{8} - (-12)) \cdot \frac{4\frac{3}{12}}{2\frac{2}{11}}}=\textcolor{white}{-\frac{672}{1955}}$$return {
["body"] = 211,
["id"] = "fUeo2R_0515_2307",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = -0.34373401534527,
["objekt"] = {
["hodnota"] = {
["citatel"] = -672,
["jmenovatel"] = 1955 },
["render"] = "\\frac{-59136}{172040}",
["typ"] = "cislo" },
["tex"] = "-\\frac{672}{1955}",
["y"] = -672,
["z"] = 1955 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} - (-12)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{8} - (-12))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{12}}{2\\frac{2}{11}}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{3}{8} - (-12)) \\cdot \\frac{4\\frac{3}{12}}{2\\frac{2}{11}}",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{3}{8} - 11}{(2\\frac{3}{8} - (-12)) \\cdot \\frac{4\\frac{3}{12}}{2\\frac{2}{11}}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.92, bodu=178, $$\frac{(-15 \cdot \frac{2\frac{2}{8}}{-14} - 4\frac{4}{9}) \cdot 1\frac{4}{10}}{-11}=\textcolor{white}{\frac{205}{792}}$$return {
["body"] = 178,
["id"] = "i2fXWb_0515_2307",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = 0.25883838383838,
["objekt"] = {
["hodnota"] = {
["citatel"] = 205,
["jmenovatel"] = 792 },
["render"] = "\\frac{-205}{-792}",
["typ"] = "cislo" },
["tex"] = "\\frac{205}{792}",
["y"] = 205,
["z"] = 792 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{-14}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot \\frac{2\\frac{2}{8}}{-14}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot \\frac{2\\frac{2}{8}}{-14} - 4\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(-15 \\cdot \\frac{2\\frac{2}{8}}{-14} - 4\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(-15 \\cdot \\frac{2\\frac{2}{8}}{-14} - 4\\frac{4}{9}) \\cdot 1\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(-15 \\cdot \\frac{2\\frac{2}{8}}{-14} - 4\\frac{4}{9}) \\cdot 1\\frac{4}{10}}{-11}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.93, bodu=289, $$\frac{4\frac{4}{13}}{(\frac{1\frac{5}{15}}{6} \cdot 3\frac{2}{8})^2 - 1\frac{3}{6} \cdot 2\frac{4}{7}}=\textcolor{white}{-1\frac{28663}{98345}}$$return {
["body"] = 289,
["id"] = "YisKMj_0515_2307",
["obtiznost"] = 2.1272,
["reseni"] = {
["float"] = -1.2914535563577,
["objekt"] = {
["hodnota"] = {
["citatel"] = -127008,
["jmenovatel"] = 98345 },
["render"] = "\\frac{127008}{-98345}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{28663}{98345}",
["x"] = -1,
["y"] = 28663,
["z"] = 98345 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.93",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{15}}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{15}}{6} \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{5}{15}}{6} \\cdot 3\\frac{2}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} \\cdot 2\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "(\\frac{1\\frac{5}{15}}{6} \\cdot 3\\frac{2}{8})^2 - 1\\frac{3}{6} \\cdot 2\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{4}{13}}{(\\frac{1\\frac{5}{15}}{6} \\cdot 3\\frac{2}{8})^2 - 1\\frac{3}{6} \\cdot 2\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.94, bodu=228, $$\frac{4\frac{4}{9} + 14 - 6}{(-3 + 4\frac{4}{7})^2} - (1\frac{3}{11} - 4\frac{4}{12})=\textcolor{white}{8\frac{109}{1089}}$$return {
["body"] = 228,
["id"] = "vuo6mR_0515_2307",
["obtiznost"] = 1.808,
["reseni"] = {
["float"] = 8.1000918273646,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8821,
["jmenovatel"] = 1089 },
["render"] = "\\frac{291093}{35937}",
["typ"] = "cislo" },
["tex"] = "8\\frac{109}{1089}",
["x"] = 8,
["y"] = 109,
["z"] = 1089 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 14",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 14 - 6",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-3 + 4\\frac{4}{7}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-3 + 4\\frac{4}{7})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{4}{9} + 14 - 6}{(-3 + 4\\frac{4}{7})^2}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} - 4\\frac{4}{12}",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{11} - 4\\frac{4}{12})",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{4}{9} + 14 - 6}{(-3 + 4\\frac{4}{7})^2} - (1\\frac{3}{11} - 4\\frac{4}{12})",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.95, bodu=293, $$23 + (-9) - ((3\frac{3}{8} + 2\frac{3}{7}) \cdot 1\frac{2}{10} + 3\frac{1}{7} - 3\frac{3}{10} + 4\frac{2}{6})=\textcolor{white}{2\frac{361}{420}}$$return {
["body"] = 293,
["id"] = "xz4mEt_0515_2307",
["obtiznost"] = 2.15,
["reseni"] = {
["float"] = 2.8595238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1201,
["jmenovatel"] = 420 },
["render"] = "\\frac{1201}{420}",
["typ"] = "cislo" },
["tex"] = "2\\frac{361}{420}",
["x"] = 2,
["y"] = 361,
["z"] = 420 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "23 + (-9)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{8} + 2\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{8} + 2\\frac{3}{7}) \\cdot 1\\frac{2}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{8} + 2\\frac{3}{7}) \\cdot 1\\frac{2}{10} + 3\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{8} + 2\\frac{3}{7}) \\cdot 1\\frac{2}{10} + 3\\frac{1}{7} - 3\\frac{3}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{8} + 2\\frac{3}{7}) \\cdot 1\\frac{2}{10} + 3\\frac{1}{7} - 3\\frac{3}{10} + 4\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "((3\\frac{3}{8} + 2\\frac{3}{7}) \\cdot 1\\frac{2}{10} + 3\\frac{1}{7} - 3\\frac{3}{10} + 4\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "23 + (-9) - ((3\\frac{3}{8} + 2\\frac{3}{7}) \\cdot 1\\frac{2}{10} + 3\\frac{1}{7} - 3\\frac{3}{10} + 4\\frac{2}{6})",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.96, bodu=220, $$\frac{-12 + 2\frac{5}{16}}{1\frac{5}{10} \cdot (2\frac{3}{12} - (-11) - 4\frac{4}{7})}=\textcolor{white}{-\frac{1085}{1458}}$$return {
["body"] = 220,
["id"] = "VoYQU9_0515_2307",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = -0.74417009602195,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1085,
["jmenovatel"] = 1458 },
["render"] = "\\frac{-8680}{11664}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1085}{1458}",
["y"] = -1085,
["z"] = 1458 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 16 },
["render"] = "2\\frac{5}{16}",
["typ"] = "cislo" },
["render"] = "-12 + 2\\frac{5}{16}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} - (-11) - 4\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{12} - (-11) - 4\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{10} \\cdot (2\\frac{3}{12} - (-11) - 4\\frac{4}{7})",
["typ"] = "krat" },
["render"] = "\\frac{-12 + 2\\frac{5}{16}}{1\\frac{5}{10} \\cdot (2\\frac{3}{12} - (-11) - 4\\frac{4}{7})}",
["typ"] = "lomeno" } }
seed: szt3ZiHVyR8bqL0udml8_0.97, bodu=154, $$\frac{-14}{-14} - \frac{3\frac{3}{12}}{3\frac{3}{10} \cdot -17} - 22=\textcolor{white}{-20\frac{1057}{1122}}$$return {
["body"] = 154,
["id"] = "z91zIT_0515_2307",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -20.942067736185,
["objekt"] = {
["hodnota"] = {
["citatel"] = -23497,
["jmenovatel"] = 1122 },
["render"] = "\\frac{-23497}{1122}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{1057}{1122}",
["x"] = -20,
["y"] = 1057,
["z"] = 1122 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} \\cdot -17",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{12}}{3\\frac{3}{10} \\cdot -17}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{-14} - \\frac{3\\frac{3}{12}}{3\\frac{3}{10} \\cdot -17}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-14} - \\frac{3\\frac{3}{12}}{3\\frac{3}{10} \\cdot -17} - 22",
["typ"] = "minus" } }
seed: szt3ZiHVyR8bqL0udml8_0.98, bodu=260, $$21 \cdot 3\frac{2}{5} \cdot (\frac{16}{4\frac{1}{12}} + 4\frac{1}{6} - 4\frac{5}{14} + 3\frac{3}{9})=\textcolor{white}{504\frac{6}{35}}$$return {
["body"] = 260,
["id"] = "Syje2p_0515_2307",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 504.17142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17646,
["jmenovatel"] = 35 },
["render"] = "\\frac{123522}{245}",
["typ"] = "cislo" },
["tex"] = "504\\frac{6}{35}",
["x"] = 504,
["y"] = 6,
["z"] = 35 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "21 \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 12 },
["render"] = "4\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{4\\frac{1}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} - 4\\frac{5}{14}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} - 4\\frac{5}{14} + 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "\\frac{16}{4\\frac{1}{12}} + 4\\frac{1}{6} - 4\\frac{5}{14} + 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{16}{4\\frac{1}{12}} + 4\\frac{1}{6} - 4\\frac{5}{14} + 3\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "21 \\cdot 3\\frac{2}{5} \\cdot (\\frac{16}{4\\frac{1}{12}} + 4\\frac{1}{6} - 4\\frac{5}{14} + 3\\frac{3}{9})",
["typ"] = "krat" } }
seed: szt3ZiHVyR8bqL0udml8_0.99, bodu=301, $$\frac{3\frac{1}{7}}{(13 + 4\frac{3}{9}) \cdot (1\frac{1}{8} + 4\frac{4}{12} + 4\frac{4}{8} \cdot 4\frac{5}{12})}=\textcolor{white}{\frac{99}{13832}}$$return {
["body"] = 301,
["id"] = "KktTer_0515_2307",
["obtiznost"] = 2.19,
["reseni"] = {
["float"] = 0.0071573163678427,
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 13832 },
["render"] = "\\frac{198}{27664}",
["typ"] = "cislo" },
["tex"] = "\\frac{99}{13832}",
["y"] = 99,
["z"] = 13832 },
["seed"] = "szt3ZiHVyR8bqL0udml8_0.99",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(13 + 4\\frac{3}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} \\cdot 4\\frac{5}{12}",
["typ"] = "krat" },
["render"] = "4\\frac{4}{12} + 4\\frac{4}{8} \\cdot 4\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "1\\frac{1}{8} + 4\\frac{4}{12} + 4\\frac{4}{8} \\cdot 4\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{8} + 4\\frac{4}{12} + 4\\frac{4}{8} \\cdot 4\\frac{5}{12})",
["typ"] = "zavorka" },
["render"] = "(13 + 4\\frac{3}{9}) \\cdot (1\\frac{1}{8} + 4\\frac{4}{12} + 4\\frac{4}{8} \\cdot 4\\frac{5}{12})",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{7}}{(13 + 4\\frac{3}{9}) \\cdot (1\\frac{1}{8} + 4\\frac{4}{12} + 4\\frac{4}{8} \\cdot 4\\frac{5}{12})}",
["typ"] = "lomeno" } }
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