- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: 6HyofD1YlisxP9zVolP2_0, bodu=5, $$4 + 7 + 5 \cdot 5=\textcolor{white}{36}$$return {
["body"] = 5,
["id"] = "8fQ7dZ_0809_2021",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 1 },
["render"] = "\\frac{36}{1}",
["typ"] = "cislo" },
["tex"] = "36",
["x"] = 36 },
["seed"] = "6HyofD1YlisxP9zVolP2_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "5 \\cdot 5",
["typ"] = "krat" },
["render"] = "4 + 7 + 5 \\cdot 5",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.01, bodu=5, $$6 \cdot 5 \cdot -6=\textcolor{white}{-180}$$return {
["body"] = 5,
["id"] = "j81rfm_0809_2021",
["obtiznost"] = 0.01,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -180,
["jmenovatel"] = 1 },
["render"] = "\\frac{-180}{1}",
["typ"] = "cislo" },
["tex"] = "-180",
["tex_float"] = "-180",
["x"] = -180 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "5 \\cdot -6",
["typ"] = "krat" },
["render"] = "6 \\cdot 5 \\cdot -6",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.02, bodu=5, $$4 - (4 - 10 + 9)^3=\textcolor{white}{-23}$$return {
["body"] = 5,
["id"] = "bzlowA_0809_2021",
["obtiznost"] = 0.0312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "\\frac{-23}{1}",
["typ"] = "cislo" },
["tex"] = "-23",
["tex_float"] = "-23",
["x"] = -23 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 - 10 + 9",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(4 - 10 + 9)^3",
["typ"] = "mocnina" },
["render"] = "4 - (4 - 10 + 9)^3",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.03, bodu=21, $$(8 - 7)^4 \cdot (\frac{7}{6})^3=\textcolor{white}{1\frac{127}{216}}$$return {
["body"] = 21,
["id"] = "y8BR3T_0809_2021",
["obtiznost"] = 0.2544,
["reseni"] = {
["float"] = 1.587962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 216 },
["render"] = "\\frac{343}{216}",
["typ"] = "cislo" },
["tex"] = "1\\frac{127}{216}",
["x"] = 1,
["y"] = 127,
["z"] = 216 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.03",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 7)^4",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{7}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{6})^3",
["typ"] = "mocnina" },
["render"] = "(8 - 7)^4 \\cdot (\\frac{7}{6})^3",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.04, bodu=10, $$\frac{5 + 10}{\frac{10}{6}}=\textcolor{white}{9}$$return {
["body"] = 10,
["id"] = "wcSsWF_0809_2021",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "\\frac{45}{5}",
["typ"] = "cislo" },
["tex"] = "9",
["x"] = 9 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{5 + 10}{\\frac{10}{6}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.05, bodu=14, $$(6 + 3 \cdot (5 - 4))^3=\textcolor{white}{729}$$return {
["body"] = 14,
["id"] = "vw7q2R_0809_2021",
["obtiznost"] = 0.342,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 729,
["jmenovatel"] = 1 },
["render"] = "\\frac{729}{1}",
["typ"] = "cislo" },
["tex"] = "729",
["x"] = 729 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.05",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 - 4",
["typ"] = "minus" },
["render"] = "(5 - 4)",
["typ"] = "zavorka" },
["render"] = "3 \\cdot (5 - 4)",
["typ"] = "krat" },
["render"] = "6 + 3 \\cdot (5 - 4)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 + 3 \\cdot (5 - 4))^3",
["typ"] = "mocnina" } }
seed: 6HyofD1YlisxP9zVolP2_0.06, bodu=10, $$6 + (6 + 6 + 5 + 5)^2=\textcolor{white}{490}$$return {
["body"] = 10,
["id"] = "SHoZhV_0809_2021",
["obtiznost"] = 0.254,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 490,
["jmenovatel"] = 1 },
["render"] = "\\frac{490}{1}",
["typ"] = "cislo" },
["tex"] = "490",
["x"] = 490 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 + 5 + 5",
["typ"] = "plus" },
["render"] = "6 + 6 + 5 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + 6 + 5 + 5)^2",
["typ"] = "mocnina" },
["render"] = "6 + (6 + 6 + 5 + 5)^2",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.07, bodu=13, $$\frac{4}{(9 + 10 - 9)^2}=\textcolor{white}{0{,}04}$$return {
["body"] = 13,
["id"] = "NwBtRy_0809_2021",
["obtiznost"] = 0.1104,
["reseni"] = {
["float"] = 0.04,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 25 },
["render"] = "\\frac{4}{100}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{25}",
["tex_float"] = "0{,}04",
["y"] = 1,
["z"] = 25 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["render"] = "9 + 10 - 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 10 - 9)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4}{(9 + 10 - 9)^2}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.08, bodu=12, $$9 + \frac{8 - (-6)}{3}=\textcolor{white}{13\frac{2}{3}}$$return {
["body"] = 12,
["id"] = "Ib52sA_0809_2021",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 13.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 3 },
["render"] = "\\frac{41}{3}",
["typ"] = "cislo" },
["tex"] = "13\\frac{2}{3}",
["x"] = 13,
["y"] = 2,
["z"] = 3 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "8 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{8 - (-6)}{3}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{8 - (-6)}{3}",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.09, bodu=6, $$4 \cdot -7 \cdot 7=\textcolor{white}{-196}$$return {
["body"] = 6,
["id"] = "24V1qd_0809_2021",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -196,
["jmenovatel"] = 1 },
["render"] = "\\frac{-196}{1}",
["typ"] = "cislo" },
["tex"] = "-196",
["x"] = -196 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 7",
["typ"] = "krat" },
["render"] = "4 \\cdot -7 \\cdot 7",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.1, bodu=12, $$\frac{8}{-7 \cdot 7}=\textcolor{white}{-\frac{8}{49}}$$return {
["body"] = 12,
["id"] = "Neo2R6_0809_2021",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = -0.16326530612245,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 49 },
["render"] = "\\frac{8}{-49}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{49}",
["y"] = -8,
["z"] = 49 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{8}{-7 \\cdot 7}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.11, bodu=6, $$(-5 + 4)^2 + 8 \cdot 6=\textcolor{white}{49}$$return {
["body"] = 6,
["id"] = "4DfKBm_0809_2021",
["obtiznost"] = 0.1108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 1 },
["render"] = "\\frac{49}{1}",
["typ"] = "cislo" },
["tex"] = "49",
["tex_float"] = "49",
["x"] = 49 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.11",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-5 + 4",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 \\cdot 6",
["typ"] = "krat" },
["render"] = "(-5 + 4)^2 + 8 \\cdot 6",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.12, bodu=13, $$(\frac{11 + 2}{6 + 7})^2=\textcolor{white}{1}$$return {
["body"] = 13,
["id"] = "UDsfmw_0809_2021",
["obtiznost"] = 0.1208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["x"] = 1 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "11 + 2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["render"] = "\\frac{11 + 2}{6 + 7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11 + 2}{6 + 7})^2",
["typ"] = "mocnina" } }
seed: 6HyofD1YlisxP9zVolP2_0.13, bodu=7, $$5 + (6 + 7) \cdot 9=\textcolor{white}{122}$$return {
["body"] = 7,
["id"] = "NidqDC_0809_2021",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 122,
["jmenovatel"] = 1 },
["render"] = "\\frac{122}{1}",
["typ"] = "cislo" },
["tex"] = "122",
["x"] = 122 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["render"] = "(6 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(6 + 7) \\cdot 9",
["typ"] = "krat" },
["render"] = "5 + (6 + 7) \\cdot 9",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.14, bodu=29, $$(\frac{3}{9} \cdot 8)^3=\textcolor{white}{18\frac{26}{27}}$$return {
["body"] = 29,
["id"] = "mPJJyW_0809_2021",
["obtiznost"] = 0.3556,
["reseni"] = {
["float"] = 18.962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = 512,
["jmenovatel"] = 27 },
["render"] = "\\frac{512}{27}",
["typ"] = "cislo" },
["tex"] = "18\\frac{26}{27}",
["x"] = 18,
["y"] = 26,
["z"] = 27 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.14",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3}{9} \\cdot 8",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(\\frac{3}{9} \\cdot 8)^3",
["typ"] = "mocnina" } }
seed: 6HyofD1YlisxP9zVolP2_0.15, bodu=7, $$-4 \cdot ((5 - 8)^2 + 10)=\textcolor{white}{-76}$$return {
["body"] = 7,
["id"] = "E0Yb7K_0809_2021",
["obtiznost"] = 0.154,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -76,
["jmenovatel"] = 1 },
["render"] = "\\frac{-76}{1}",
["typ"] = "cislo" },
["tex"] = "-76",
["tex_float"] = "-76",
["x"] = -76 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(5 - 8)^2 + 10",
["typ"] = "plus" },
["render"] = "((5 - 8)^2 + 10)",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot ((5 - 8)^2 + 10)",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.16, bodu=15, $$\frac{10 \cdot -8}{-10 - 11}=\textcolor{white}{3\frac{17}{21}}$$return {
["body"] = 15,
["id"] = "Loj2fu_0809_2021",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 3.8095238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 80,
["jmenovatel"] = 21 },
["render"] = "\\frac{-80}{-21}",
["typ"] = "cislo" },
["tex"] = "3\\frac{17}{21}",
["x"] = 3,
["y"] = 17,
["z"] = 21 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "10 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-10 - 11",
["typ"] = "minus" },
["render"] = "\\frac{10 \\cdot -8}{-10 - 11}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.17, bodu=8, $$11 + 10 - (-10) + 8 + 7=\textcolor{white}{46}$$return {
["body"] = 8,
["id"] = "rBc7WA_0809_2021",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 1 },
["render"] = "\\frac{46}{1}",
["typ"] = "cislo" },
["tex"] = "46",
["tex_float"] = "46",
["x"] = 46 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 + 10 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 + 10 - (-10) + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "11 + 10 - (-10) + 8 + 7",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.18, bodu=31, $$(4\frac{4}{9} - 5) \cdot 4 + 6=\textcolor{white}{3\frac{7}{9}}$$return {
["body"] = 31,
["id"] = "KNtQNy_0809_2021",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 3.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 9 },
["render"] = "\\frac{34}{9}",
["typ"] = "cislo" },
["tex"] = "3\\frac{7}{9}",
["x"] = 3,
["y"] = 7,
["z"] = 9 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - 5",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{9} - 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{9} - 5) \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{9} - 5) \\cdot 4 + 6",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.19, bodu=8, $$4 \cdot 5 \cdot -4=\textcolor{white}{-80}$$return {
["body"] = 8,
["id"] = "ZNZwjV_0809_2021",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 1 },
["render"] = "\\frac{-80}{1}",
["typ"] = "cislo" },
["tex"] = "-80",
["tex_float"] = "-80",
["x"] = -80 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5 \\cdot -4",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.2, bodu=32, $$-8 \cdot \frac{1\frac{4}{8} + 6}{6}=\textcolor{white}{-10}$$return {
["body"] = 32,
["id"] = "P6loo9_0809_2021",
["obtiznost"] = 0.4,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "\\frac{-40}{4}",
["typ"] = "cislo" },
["tex"] = "-10",
["tex_float"] = "-10",
["x"] = -10 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{8} + 6}{6}",
["typ"] = "lomeno" },
["render"] = "-8 \\cdot \\frac{1\\frac{4}{8} + 6}{6}",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.21, bodu=33, $$\frac{3\frac{2}{3} + 9}{12 \cdot -10}=\textcolor{white}{-\frac{19}{180}}$$return {
["body"] = 33,
["id"] = "oOjcKC_0809_2021",
["obtiznost"] = 0.41,
["reseni"] = {
["float"] = -0.10555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 180 },
["render"] = "\\frac{38}{-360}",
["typ"] = "cislo" },
["tex"] = "-\\frac{19}{180}",
["y"] = -19,
["z"] = 180 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{3} + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{2}{3} + 9}{12 \\cdot -10}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.22, bodu=34, $$(9 - (1\frac{5}{8} + 10 - 8)) \cdot 9=\textcolor{white}{48{,}375}$$return {
["body"] = 34,
["id"] = "VmU1Qf_0809_2021",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 48.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 387,
["jmenovatel"] = 8 },
["render"] = "\\frac{387}{8}",
["typ"] = "cislo" },
["tex"] = "48\\frac{3}{8}",
["tex_float"] = "48{,}375",
["x"] = 48,
["y"] = 3,
["z"] = 8 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} + 10 - 8",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{8} + 10 - 8)",
["typ"] = "zavorka" },
["render"] = "9 - (1\\frac{5}{8} + 10 - 8)",
["typ"] = "minus" },
["render"] = "(9 - (1\\frac{5}{8} + 10 - 8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(9 - (1\\frac{5}{8} + 10 - 8)) \\cdot 9",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.23, bodu=10, $$(-12 + 6)^2 \cdot (-4 - 7 \cdot 9)=\textcolor{white}{-2412}$$return {
["body"] = 10,
["id"] = "wBT5gk_0809_2021",
["obtiznost"] = 0.2448,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2412,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2412}{1}",
["typ"] = "cislo" },
["tex"] = "-2412",
["tex_float"] = "-2412",
["x"] = -2412 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.23",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-12 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + 6)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["render"] = "-4 - 7 \\cdot 9",
["typ"] = "minus" },
["render"] = "(-4 - 7 \\cdot 9)",
["typ"] = "zavorka" },
["render"] = "(-12 + 6)^2 \\cdot (-4 - 7 \\cdot 9)",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.24, bodu=36, $$\frac{-11}{5} - (8 + 4\frac{5}{6} + 7)=\textcolor{white}{-22\frac{1}{30}}$$return {
["body"] = 36,
["id"] = "CcUiPg_0809_2021",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -22.033333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -661,
["jmenovatel"] = 30 },
["render"] = "\\frac{-661}{30}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{1}{30}",
["x"] = -22,
["y"] = 1,
["z"] = 30 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{5}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 + 4\\frac{5}{6} + 7",
["typ"] = "plus" },
["render"] = "(8 + 4\\frac{5}{6} + 7)",
["typ"] = "zavorka" },
["render"] = "\\frac{-11}{5} - (8 + 4\\frac{5}{6} + 7)",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.25, bodu=21, $$\frac{\frac{8 \cdot -7}{5}}{10}=\textcolor{white}{-1{,}12}$$return {
["body"] = 21,
["id"] = "HQuViw_0809_2021",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = -1.12,
["objekt"] = {
["hodnota"] = {
["citatel"] = -28,
["jmenovatel"] = 25 },
["render"] = "\\frac{-56}{50}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3}{25}",
["tex_float"] = "-1{,}12",
["x"] = -1,
["y"] = 3,
["z"] = 25 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot -7}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{8 \\cdot -7}{5}}{10}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.26, bodu=21, $$\frac{8}{10 \cdot 6 \cdot 9}=\textcolor{white}{\frac{2}{135}}$$return {
["body"] = 21,
["id"] = "XI7ahs_0809_2021",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = 0.014814814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 135 },
["render"] = "\\frac{8}{540}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{135}",
["y"] = 2,
["z"] = 135 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.26",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 \\cdot 9",
["typ"] = "krat" },
["render"] = "10 \\cdot 6 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{8}{10 \\cdot 6 \\cdot 9}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.27, bodu=39, $$\frac{\frac{4\frac{4}{11}}{-7}}{(-6 + 8)^4}=\textcolor{white}{-\frac{3}{77}}$$return {
["body"] = 39,
["id"] = "0442Dr_0809_2021",
["obtiznost"] = 0.4768,
["reseni"] = {
["float"] = -0.038961038961039,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 77 },
["render"] = "\\frac{-48}{1232}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{77}",
["y"] = -3,
["z"] = 77 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{11}}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(-6 + 8)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{4\\frac{4}{11}}{-7}}{(-6 + 8)^4}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.28, bodu=17, $$(7 - 14)^3 + 6 + 8 \cdot -11=\textcolor{white}{-425}$$return {
["body"] = 17,
["id"] = "yXtba4_0809_2021",
["obtiznost"] = 0.4176,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -425,
["jmenovatel"] = 1 },
["render"] = "\\frac{-425}{1}",
["typ"] = "cislo" },
["tex"] = "-425",
["tex_float"] = "-425",
["x"] = -425 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "7 - 14",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(7 - 14)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(7 - 14)^3 + 6",
["typ"] = "plus" },
["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"] = "(7 - 14)^3 + 6 + 8 \\cdot -11",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.29, bodu=24, $$\frac{8 \cdot 8 \cdot -9}{-6}=\textcolor{white}{96}$$return {
["body"] = 24,
["id"] = "kW9JD1_0809_2021",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 96,
["jmenovatel"] = 1 },
["render"] = "\\frac{-576}{-6}",
["typ"] = "cislo" },
["tex"] = "96",
["tex_float"] = "96",
["x"] = 96 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 8 \\cdot -9}{-6}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.3, bodu=49, $$10 \cdot 6 \cdot (\frac{-10}{2\frac{1}{7}})^2=\textcolor{white}{1306\frac{2}{3}}$$return {
["body"] = 49,
["id"] = "GHyQzq_0809_2021",
["obtiznost"] = 0.582,
["reseni"] = {
["float"] = 1306.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3920,
["jmenovatel"] = 3 },
["render"] = "\\frac{3920}{3}",
["typ"] = "cislo" },
["tex"] = "1306\\frac{2}{3}",
["x"] = 1306,
["y"] = 2,
["z"] = 3 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.3",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{2\\frac{1}{7}})^2",
["typ"] = "mocnina" },
["render"] = "6 \\cdot (\\frac{-10}{2\\frac{1}{7}})^2",
["typ"] = "krat" },
["render"] = "10 \\cdot 6 \\cdot (\\frac{-10}{2\\frac{1}{7}})^2",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.31, bodu=88, $$6 - \frac{4\frac{2}{6} + 1\frac{2}{5}}{-11 - 3\frac{3}{5}}=\textcolor{white}{6\frac{86}{219}}$$return {
["body"] = 88,
["id"] = "VtxIEU_0809_2021",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 6.3926940639269,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1400,
["jmenovatel"] = 219 },
["render"] = "\\frac{1400}{219}",
["typ"] = "cislo" },
["tex"] = "6\\frac{86}{219}",
["x"] = 6,
["y"] = 86,
["z"] = 219 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + 1\\frac{2}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-11 - 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{2}{6} + 1\\frac{2}{5}}{-11 - 3\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{4\\frac{2}{6} + 1\\frac{2}{5}}{-11 - 3\\frac{3}{5}}",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.32, bodu=28, $$\frac{6 + (\frac{7}{3})^2}{-11 - 10}=\textcolor{white}{-\frac{103}{189}}$$return {
["body"] = 28,
["id"] = "pi33An_0809_2021",
["obtiznost"] = 0.3432,
["reseni"] = {
["float"] = -0.54497354497354,
["objekt"] = {
["hodnota"] = {
["citatel"] = -103,
["jmenovatel"] = 189 },
["render"] = "\\frac{103}{-189}",
["typ"] = "cislo" },
["tex"] = "-\\frac{103}{189}",
["y"] = -103,
["z"] = 189 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{7}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{3})^2",
["typ"] = "mocnina" },
["render"] = "6 + (\\frac{7}{3})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-11 - 10",
["typ"] = "minus" },
["render"] = "\\frac{6 + (\\frac{7}{3})^2}{-11 - 10}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.33, bodu=66, $$\frac{3\frac{3}{5}}{10} \cdot \frac{4\frac{2}{5}}{7}=\textcolor{white}{\frac{198}{875}}$$return {
["body"] = 66,
["id"] = "amJlgx_0809_2021",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 0.22628571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 198,
["jmenovatel"] = 875 },
["render"] = "\\frac{198}{875}",
["typ"] = "cislo" },
["tex"] = "\\frac{198}{875}",
["y"] = 198,
["z"] = 875 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{5}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{3}{5}}{10} \\cdot \\frac{4\\frac{2}{5}}{7}",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.34, bodu=27, $$-4 - 13 \cdot \frac{5}{6}=\textcolor{white}{-14\frac{5}{6}}$$return {
["body"] = 27,
["id"] = "GQUTYK_0809_2021",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -14.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -89,
["jmenovatel"] = 6 },
["render"] = "\\frac{-89}{6}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{5}{6}",
["x"] = -14,
["y"] = 5,
["z"] = 6 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6}",
["typ"] = "lomeno" },
["render"] = "13 \\cdot \\frac{5}{6}",
["typ"] = "krat" },
["render"] = "-4 - 13 \\cdot \\frac{5}{6}",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.35, bodu=37, $$(\frac{-2}{\frac{11}{-6}})^2 \cdot -9=\textcolor{white}{-10\frac{86}{121}}$$return {
["body"] = 37,
["id"] = "udTptj_0809_2021",
["obtiznost"] = 0.456,
["reseni"] = {
["float"] = -10.710743801653,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1296,
["jmenovatel"] = 121 },
["render"] = "\\frac{-1296}{121}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{86}{121}",
["x"] = -10,
["y"] = 86,
["z"] = 121 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.35",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-6}",
["typ"] = "lomeno" },
["render"] = "\\frac{-2}{\\frac{11}{-6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-2}{\\frac{11}{-6}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(\\frac{-2}{\\frac{11}{-6}})^2 \\cdot -9",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.36, bodu=29, $$-4 \cdot -8 + (\frac{-6}{-12})^4=\textcolor{white}{32\frac{1}{16}}$$return {
["body"] = 29,
["id"] = "oc3Xen_0809_2021",
["obtiznost"] = 0.3668,
["reseni"] = {
["float"] = 32.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 513,
["jmenovatel"] = 16 },
["render"] = "\\frac{513}{16}",
["typ"] = "cislo" },
["tex"] = "32\\frac{1}{16}",
["x"] = 32,
["y"] = 1,
["z"] = 16 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-6}{-12})^4",
["typ"] = "mocnina" },
["render"] = "-4 \\cdot -8 + (\\frac{-6}{-12})^4",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.37, bodu=30, $$\frac{-8 - (12 + 10 + 8)}{9 + 7}=\textcolor{white}{-2{,}375}$$return {
["body"] = 30,
["id"] = "n6jpbr_0809_2021",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = -2.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 8 },
["render"] = "\\frac{-38}{16}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{3}{8}",
["tex_float"] = "-2{,}375",
["x"] = -2,
["y"] = 3,
["z"] = 8 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8",
["typ"] = "plus" },
["render"] = "12 + 10 + 8",
["typ"] = "plus" },
["render"] = "(12 + 10 + 8)",
["typ"] = "zavorka" },
["render"] = "-8 - (12 + 10 + 8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 + 7",
["typ"] = "plus" },
["render"] = "\\frac{-8 - (12 + 10 + 8)}{9 + 7}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.38, bodu=15, $$14 - (13 \cdot 6 + (-6) + 11)=\textcolor{white}{-69}$$return {
["body"] = 15,
["id"] = "0wDRQp_0809_2021",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -69,
["jmenovatel"] = 1 },
["render"] = "\\frac{-69}{1}",
["typ"] = "cislo" },
["tex"] = "-69",
["x"] = -69 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "13 \\cdot 6 + (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "13 \\cdot 6 + (-6) + 11",
["typ"] = "plus" },
["render"] = "(13 \\cdot 6 + (-6) + 11)",
["typ"] = "zavorka" },
["render"] = "14 - (13 \\cdot 6 + (-6) + 11)",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.39, bodu=31, $$\frac{-6}{9 \cdot -15 - (13 + 12)}=\textcolor{white}{\frac{3}{80}}$$return {
["body"] = 31,
["id"] = "M1rwBL_0809_2021",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 0.0375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 80 },
["render"] = "\\frac{-6}{-160}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{80}",
["y"] = 3,
["z"] = 80 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "13 + 12",
["typ"] = "plus" },
["render"] = "(13 + 12)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot -15 - (13 + 12)",
["typ"] = "minus" },
["render"] = "\\frac{-6}{9 \\cdot -15 - (13 + 12)}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.4, bodu=54, $$\frac{5 - (\frac{-14}{12})^3 - 9}{7}=\textcolor{white}{-\frac{521}{1512}}$$return {
["body"] = 54,
["id"] = "q5pHlR_0809_2021",
["obtiznost"] = 0.6236,
["reseni"] = {
["float"] = -0.34457671957672,
["objekt"] = {
["hodnota"] = {
["citatel"] = -521,
["jmenovatel"] = 1512 },
["render"] = "\\frac{-521}{1512}",
["typ"] = "cislo" },
["tex"] = "-\\frac{521}{1512}",
["y"] = -521,
["z"] = 1512 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-14}{12})^3",
["typ"] = "mocnina" },
["render"] = "5 - (\\frac{-14}{12})^3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 - (\\frac{-14}{12})^3 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5 - (\\frac{-14}{12})^3 - 9}{7}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.41, bodu=33, $$(10 + (-9))^2 - 7 \cdot \frac{-16}{15}=\textcolor{white}{8\frac{7}{15}}$$return {
["body"] = 33,
["id"] = "CsYQQQ_0809_2021",
["obtiznost"] = 0.4108,
["reseni"] = {
["float"] = 8.4666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127,
["jmenovatel"] = 15 },
["render"] = "\\frac{127}{15}",
["typ"] = "cislo" },
["tex"] = "8\\frac{7}{15}",
["x"] = 8,
["y"] = 7,
["z"] = 15 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.41",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{15}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{-16}{15}",
["typ"] = "krat" },
["render"] = "(10 + (-9))^2 - 7 \\cdot \\frac{-16}{15}",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.42, bodu=22, $$-12 \cdot 8 - (10 - (-13 + 7))^2=\textcolor{white}{-352}$$return {
["body"] = 22,
["id"] = "y08cTH_0809_2021",
["obtiznost"] = 0.5228,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -352,
["jmenovatel"] = 1 },
["render"] = "\\frac{-352}{1}",
["typ"] = "cislo" },
["tex"] = "-352",
["tex_float"] = "-352",
["x"] = -352 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.42",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-13 + 7",
["typ"] = "plus" },
["render"] = "(-13 + 7)",
["typ"] = "zavorka" },
["render"] = "10 - (-13 + 7)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - (-13 + 7))^2",
["typ"] = "mocnina" },
["render"] = "-12 \\cdot 8 - (10 - (-13 + 7))^2",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.43, bodu=95, $$9 - (10 \cdot (\frac{1\frac{4}{7}}{11})^3 + 1\frac{2}{7})=\textcolor{white}{7\frac{235}{343}}$$return {
["body"] = 95,
["id"] = "xtFxIv_0809_2021",
["obtiznost"] = 0.9676,
["reseni"] = {
["float"] = 7.6851311953353,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2636,
["jmenovatel"] = 343 },
["render"] = "\\frac{2636}{343}",
["typ"] = "cislo" },
["tex"] = "7\\frac{235}{343}",
["x"] = 7,
["y"] = 235,
["z"] = 343 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{7}}{11}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{4}{7}}{11})^3",
["typ"] = "mocnina" },
["render"] = "10 \\cdot (\\frac{1\\frac{4}{7}}{11})^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "10 \\cdot (\\frac{1\\frac{4}{7}}{11})^3 + 1\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "(10 \\cdot (\\frac{1\\frac{4}{7}}{11})^3 + 1\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "9 - (10 \\cdot (\\frac{1\\frac{4}{7}}{11})^3 + 1\\frac{2}{7})",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.44, bodu=79, $$\frac{\frac{4\frac{1}{5}}{-10}}{1\frac{1}{4}} \cdot (9 + (-6))=\textcolor{white}{-1{,}008}$$return {
["body"] = 79,
["id"] = "NlOz7B_0809_2021",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -1.008,
["objekt"] = {
["hodnota"] = {
["citatel"] = -126,
["jmenovatel"] = 125 },
["render"] = "\\frac{-126}{125}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{125}",
["tex_float"] = "-1{,}008",
["x"] = -1,
["y"] = 1,
["z"] = 125 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{1}{5}}{-10}}{1\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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"] = "(9 + (-6))",
["typ"] = "zavorka" },
["render"] = "\\frac{\\frac{4\\frac{1}{5}}{-10}}{1\\frac{1}{4}} \\cdot (9 + (-6))",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.45, bodu=106, $$\frac{\frac{9}{12 + 1\frac{2}{6} + (-6)}}{1\frac{5}{9} + 2\frac{3}{7}}=\textcolor{white}{\frac{1701}{5522}}$$return {
["body"] = 106,
["id"] = "rBKjBg_0809_2021",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 0.30804056501268,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1701,
["jmenovatel"] = 5522 },
["render"] = "\\frac{1701}{5522}",
["typ"] = "cislo" },
["tex"] = "\\frac{1701}{5522}",
["y"] = 1701,
["z"] = 5522 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "12 + 1\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "12 + 1\\frac{2}{6} + (-6)",
["typ"] = "plus" },
["render"] = "\\frac{9}{12 + 1\\frac{2}{6} + (-6)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{9}{12 + 1\\frac{2}{6} + (-6)}}{1\\frac{5}{9} + 2\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.46, bodu=81, $$\frac{-11 + 2\frac{3}{4} + \frac{2\frac{2}{6}}{11}}{-7 - 12}=\textcolor{white}{\frac{1061}{2508}}$$return {
["body"] = 81,
["id"] = "TPCVJa_0809_2021",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 0.42304625199362,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1061,
["jmenovatel"] = 2508 },
["render"] = "\\frac{-1061}{-2508}",
["typ"] = "cislo" },
["tex"] = "\\frac{1061}{2508}",
["y"] = 1061,
["z"] = 2508 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "-11 + 2\\frac{3}{4}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{6}}{11}",
["typ"] = "lomeno" },
["render"] = "-11 + 2\\frac{3}{4} + \\frac{2\\frac{2}{6}}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-7 - 12",
["typ"] = "minus" },
["render"] = "\\frac{-11 + 2\\frac{3}{4} + \\frac{2\\frac{2}{6}}{11}}{-7 - 12}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.47, bodu=83, $$(3\frac{3}{6} - (-7) - 7) \cdot (13 - 3\frac{2}{9})=\textcolor{white}{34\frac{2}{9}}$$return {
["body"] = 83,
["id"] = "UMdR18_0809_2021",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 34.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 308,
["jmenovatel"] = 9 },
["render"] = "\\frac{616}{18}",
["typ"] = "cislo" },
["tex"] = "34\\frac{2}{9}",
["x"] = 34,
["y"] = 2,
["z"] = 9 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.47",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} - (-7) - 7",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{6} - (-7) - 7)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(13 - 3\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{3}{6} - (-7) - 7) \\cdot (13 - 3\\frac{2}{9})",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.48, bodu=60, $$\frac{-9}{11} - (3\frac{3}{7} + 15 \cdot -9)=\textcolor{white}{130\frac{58}{77}}$$return {
["body"] = 60,
["id"] = "5NdCDO_0809_2021",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 130.75324675325,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10068,
["jmenovatel"] = 77 },
["render"] = "\\frac{10068}{77}",
["typ"] = "cislo" },
["tex"] = "130\\frac{58}{77}",
["x"] = 130,
["y"] = 58,
["z"] = 77 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "15 \\cdot -9",
["typ"] = "krat" },
["render"] = "3\\frac{3}{7} + 15 \\cdot -9",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{7} + 15 \\cdot -9)",
["typ"] = "zavorka" },
["render"] = "\\frac{-9}{11} - (3\\frac{3}{7} + 15 \\cdot -9)",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.49, bodu=61, $$2\frac{1}{8} \cdot \frac{15}{8} \cdot 6=\textcolor{white}{23\frac{29}{32}}$$return {
["body"] = 61,
["id"] = "1nckjG_0809_2021",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 23.90625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 765,
["jmenovatel"] = 32 },
["render"] = "\\frac{1530}{64}",
["typ"] = "cislo" },
["tex"] = "23\\frac{29}{32}",
["x"] = 23,
["y"] = 29,
["z"] = 32 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{15}{8}",
["typ"] = "lomeno" },
["render"] = "2\\frac{1}{8} \\cdot \\frac{15}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} \\cdot \\frac{15}{8} \\cdot 6",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.5, bodu=62, $$(\frac{(9 - 9)^3}{\frac{-8 - 9}{4\frac{4}{7}}})^2=\textcolor{white}{0}$$return {
["body"] = 62,
["id"] = "eF7pth_0809_2021",
["obtiznost"] = 0.7008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.5",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 9)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-8 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-8 - 9}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{(9 - 9)^3}{\\frac{-8 - 9}{4\\frac{4}{7}}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{(9 - 9)^3}{\\frac{-8 - 9}{4\\frac{4}{7}}})^2",
["typ"] = "mocnina" } }
seed: 6HyofD1YlisxP9zVolP2_0.51, bodu=63, $$\frac{9}{5 - 5 \cdot 3\frac{1}{7} \cdot 12}=\textcolor{white}{-\frac{63}{1285}}$$return {
["body"] = 63,
["id"] = "0MuzWv_0809_2021",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -0.049027237354086,
["objekt"] = {
["hodnota"] = {
["citatel"] = -63,
["jmenovatel"] = 1285 },
["render"] = "\\frac{63}{-1285}",
["typ"] = "cislo" },
["tex"] = "-\\frac{63}{1285}",
["y"] = -63,
["z"] = 1285 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 3\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "5 \\cdot 3\\frac{1}{7} \\cdot 12",
["typ"] = "krat" },
["render"] = "5 - 5 \\cdot 3\\frac{1}{7} \\cdot 12",
["typ"] = "minus" },
["render"] = "\\frac{9}{5 - 5 \\cdot 3\\frac{1}{7} \\cdot 12}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.52, bodu=31, $$14 + (11 - 11 + (-9))^2 - (10 + 9)^2=\textcolor{white}{-266}$$return {
["body"] = 31,
["id"] = "CeqvSe_0809_2021",
["obtiznost"] = 0.6976,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -266,
["jmenovatel"] = 1 },
["render"] = "\\frac{-266}{1}",
["typ"] = "cislo" },
["tex"] = "-266",
["tex_float"] = "-266",
["x"] = -266 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 - 11 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 - 11 + (-9))^2",
["typ"] = "mocnina" },
["render"] = "14 + (11 - 11 + (-9))^2",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 9)^2",
["typ"] = "mocnina" },
["render"] = "14 + (11 - 11 + (-9))^2 - (10 + 9)^2",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.53, bodu=44, $$\frac{7 \cdot (8 - 14 \cdot 15)}{13}=\textcolor{white}{-108\frac{10}{13}}$$return {
["body"] = 44,
["id"] = "cofS6l_0809_2021",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -108.76923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1414,
["jmenovatel"] = 13 },
["render"] = "\\frac{-1414}{13}",
["typ"] = "cislo" },
["tex"] = "-108\\frac{10}{13}",
["x"] = -108,
["y"] = 10,
["z"] = 13 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "14 \\cdot 15",
["typ"] = "krat" },
["render"] = "8 - 14 \\cdot 15",
["typ"] = "minus" },
["render"] = "(8 - 14 \\cdot 15)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (8 - 14 \\cdot 15)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot (8 - 14 \\cdot 15)}{13}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.54, bodu=45, $$(12 \cdot \frac{8}{11} + 15) \cdot 16=\textcolor{white}{379\frac{7}{11}}$$return {
["body"] = 45,
["id"] = "BCTfpV_0809_2021",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = 379.63636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4176,
["jmenovatel"] = 11 },
["render"] = "\\frac{4176}{11}",
["typ"] = "cislo" },
["tex"] = "379\\frac{7}{11}",
["x"] = 379,
["y"] = 7,
["z"] = 11 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.54",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{8}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "12 \\cdot \\frac{8}{11} + 15",
["typ"] = "plus" },
["render"] = "(12 \\cdot \\frac{8}{11} + 15)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(12 \\cdot \\frac{8}{11} + 15) \\cdot 16",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.55, bodu=74, $$\frac{(-8 + 3)^3}{3\frac{3}{7} - \frac{11}{10}}=\textcolor{white}{-53\frac{111}{163}}$$return {
["body"] = 74,
["id"] = "buO9pq_0809_2021",
["obtiznost"] = 0.8004,
["reseni"] = {
["float"] = -53.680981595092,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8750,
["jmenovatel"] = 163 },
["render"] = "\\frac{-8750}{163}",
["typ"] = "cislo" },
["tex"] = "-53\\frac{111}{163}",
["x"] = -53,
["y"] = 111,
["z"] = 163 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.55",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-8 + 3",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-8 + 3)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{11}{10}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{7} - \\frac{11}{10}",
["typ"] = "minus" },
["render"] = "\\frac{(-8 + 3)^3}{3\\frac{3}{7} - \\frac{11}{10}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.56, bodu=51, $$\frac{13}{\frac{(11 + (-8))^4}{-5}} + 12=\textcolor{white}{11\frac{16}{81}}$$return {
["body"] = 51,
["id"] = "KbwmM5_0809_2021",
["obtiznost"] = 0.5928,
["reseni"] = {
["float"] = 11.197530864198,
["objekt"] = {
["hodnota"] = {
["citatel"] = 907,
["jmenovatel"] = 81 },
["render"] = "\\frac{907}{81}",
["typ"] = "cislo" },
["tex"] = "11\\frac{16}{81}",
["x"] = 11,
["y"] = 16,
["z"] = 81 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(11 + (-8))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{(11 + (-8))^4}{-5}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{\\frac{(11 + (-8))^4}{-5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{13}{\\frac{(11 + (-8))^4}{-5}} + 12",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.57, bodu=70, $$\frac{11}{\frac{-11}{12} \cdot 2\frac{2}{5}}=\textcolor{white}{-5}$$return {
["body"] = 70,
["id"] = "dYB9jt_0809_2021",
["obtiznost"] = 0.77,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "\\frac{55}{-11}",
["typ"] = "cislo" },
["tex"] = "-5",
["tex_float"] = "-5",
["x"] = -5 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{12} \\cdot 2\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "\\frac{11}{\\frac{-11}{12} \\cdot 2\\frac{2}{5}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.58, bodu=71, $$-9 - (11 + 11 - (-9) - 1\frac{4}{6}) + 8=\textcolor{white}{-30\frac{1}{3}}$$return {
["body"] = 71,
["id"] = "Ca6im7_0809_2021",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -30.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -91,
["jmenovatel"] = 3 },
["render"] = "\\frac{-91}{3}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{1}{3}",
["x"] = -30,
["y"] = 1,
["z"] = 3 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "11 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 + 11 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "11 + 11 - (-9) - 1\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "(11 + 11 - (-9) - 1\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "-9 - (11 + 11 - (-9) - 1\\frac{4}{6})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-9 - (11 + 11 - (-9) - 1\\frac{4}{6}) + 8",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.59, bodu=73, $$\frac{4\frac{5}{9}}{-11} \cdot \frac{-19}{15}=\textcolor{white}{\frac{779}{1485}}$$return {
["body"] = 73,
["id"] = "kouMbP_0809_2021",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 0.52457912457912,
["objekt"] = {
["hodnota"] = {
["citatel"] = 779,
["jmenovatel"] = 1485 },
["render"] = "\\frac{779}{1485}",
["typ"] = "cislo" },
["tex"] = "\\frac{779}{1485}",
["y"] = 779,
["z"] = 1485 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{9}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{9}}{-11} \\cdot \\frac{-19}{15}",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.6, bodu=100, $$-19 \cdot 15 \cdot (3\frac{2}{7} + (-11)) \cdot 1\frac{3}{7}=\textcolor{white}{3140\frac{40}{49}}$$return {
["body"] = 100,
["id"] = "AqXHN1_0809_2021",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 3140.8163265306,
["objekt"] = {
["hodnota"] = {
["citatel"] = 153900,
["jmenovatel"] = 49 },
["render"] = "\\frac{153900}{49}",
["typ"] = "cislo" },
["tex"] = "3140\\frac{40}{49}",
["x"] = 3140,
["y"] = 40,
["z"] = 49 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{7} + (-11)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{7} + (-11))",
["typ"] = "zavorka" },
["render"] = "-19 \\cdot 15 \\cdot (3\\frac{2}{7} + (-11))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 15 \\cdot (3\\frac{2}{7} + (-11)) \\cdot 1\\frac{3}{7}",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.61, bodu=52, $$\frac{6}{8 + (-12) + (-11 + (-20)) + (-11 \cdot 14)}=\textcolor{white}{-\frac{2}{63}}$$return {
["body"] = 52,
["id"] = "nILoIR_0809_2021",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -0.031746031746032,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 63 },
["render"] = "\\frac{6}{-189}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2}{63}",
["y"] = -2,
["z"] = 63 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "8 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-11 + (-20)",
["typ"] = "plus" },
["render"] = "8 + (-12) + (-11 + (-20))",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 14",
["typ"] = "krat" },
["render"] = "8 + (-12) + (-11 + (-20)) + (-11 \\cdot 14)",
["typ"] = "plus" },
["render"] = "\\frac{6}{8 + (-12) + (-11 + (-20)) + (-11 \\cdot 14)}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.62, bodu=102, $$\frac{11}{3\frac{5}{8} + 1\frac{2}{8}} \cdot -12 \cdot -3=\textcolor{white}{81\frac{3}{13}}$$return {
["body"] = 102,
["id"] = "WkjbIz_0809_2021",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = 81.230769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1056,
["jmenovatel"] = 13 },
["render"] = "\\frac{3168}{39}",
["typ"] = "cislo" },
["tex"] = "81\\frac{3}{13}",
["x"] = 81,
["y"] = 3,
["z"] = 13 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} + 1\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "\\frac{11}{3\\frac{5}{8} + 1\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -3",
["typ"] = "krat" },
["render"] = "\\frac{11}{3\\frac{5}{8} + 1\\frac{2}{8}} \\cdot -12 \\cdot -3",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.63, bodu=78, $$7 + 4\frac{4}{11} + \frac{(-8 + 12) \cdot 15}{-11}=\textcolor{white}{5\frac{10}{11}}$$return {
["body"] = 78,
["id"] = "xgZjze_0809_2021",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 5.9090909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 65,
["jmenovatel"] = 11 },
["render"] = "\\frac{65}{11}",
["typ"] = "cislo" },
["tex"] = "5\\frac{10}{11}",
["x"] = 5,
["y"] = 10,
["z"] = 11 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "7 + 4\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-8 + 12",
["typ"] = "plus" },
["render"] = "(-8 + 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(-8 + 12) \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(-8 + 12) \\cdot 15}{-11}",
["typ"] = "lomeno" },
["render"] = "7 + 4\\frac{4}{11} + \\frac{(-8 + 12) \\cdot 15}{-11}",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.64, bodu=105, $$\frac{\frac{-14}{17} \cdot 4\frac{2}{7} \cdot 2\frac{1}{6}}{6}=\textcolor{white}{-1\frac{14}{51}}$$return {
["body"] = 105,
["id"] = "uZGbUp_0809_2021",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -1.2745098039216,
["objekt"] = {
["hodnota"] = {
["citatel"] = -65,
["jmenovatel"] = 51 },
["render"] = "\\frac{-130}{102}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{14}{51}",
["x"] = -1,
["y"] = 14,
["z"] = 51 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "\\frac{-14}{17} \\cdot 4\\frac{2}{7} \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-14}{17} \\cdot 4\\frac{2}{7} \\cdot 2\\frac{1}{6}}{6}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.65, bodu=167, $$1\frac{5}{8} \cdot (11 + 3\frac{4}{5} \cdot -11 \cdot 4\frac{3}{5} - 1\frac{2}{8})=\textcolor{white}{-296\frac{489}{800}}$$return {
["body"] = 167,
["id"] = "lFZVNR_0809_2021",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -296.61125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -237289,
["jmenovatel"] = 800 },
["render"] = "\\frac{-237289}{800}",
["typ"] = "cislo" },
["tex"] = "-296\\frac{489}{800}",
["x"] = -296,
["y"] = 489,
["z"] = 800 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.65",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{5} \\cdot -11 \\cdot 4\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "11 + 3\\frac{4}{5} \\cdot -11 \\cdot 4\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "11 + 3\\frac{4}{5} \\cdot -11 \\cdot 4\\frac{3}{5} - 1\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(11 + 3\\frac{4}{5} \\cdot -11 \\cdot 4\\frac{3}{5} - 1\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{8} \\cdot (11 + 3\\frac{4}{5} \\cdot -11 \\cdot 4\\frac{3}{5} - 1\\frac{2}{8})",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.66, bodu=108, $$1\frac{2}{6} + (11 - (-16 - 3\frac{3}{8})) \cdot (11 - (-13))=\textcolor{white}{730\frac{1}{3}}$$return {
["body"] = 108,
["id"] = "6lySUw_0809_2021",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 730.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2191,
["jmenovatel"] = 3 },
["render"] = "\\frac{2191}{3}",
["typ"] = "cislo" },
["tex"] = "730\\frac{1}{3}",
["x"] = 730,
["y"] = 1,
["z"] = 3 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-16 - 3\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(-16 - 3\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "11 - (-16 - 3\\frac{3}{8})",
["typ"] = "minus" },
["render"] = "(11 - (-16 - 3\\frac{3}{8}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "11 - (-13)",
["typ"] = "minus" },
["render"] = "(11 - (-13))",
["typ"] = "zavorka" },
["render"] = "(11 - (-16 - 3\\frac{3}{8})) \\cdot (11 - (-13))",
["typ"] = "krat" },
["render"] = "1\\frac{2}{6} + (11 - (-16 - 3\\frac{3}{8})) \\cdot (11 - (-13))",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.67, bodu=61, $$\frac{(4 + (-11))^2}{-9} \cdot (-11 + 13) - (-9)=\textcolor{white}{-1\frac{8}{9}}$$return {
["body"] = 61,
["id"] = "KFoPq6_0809_2021",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -1.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 9 },
["render"] = "\\frac{-17}{9}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{8}{9}",
["x"] = -1,
["y"] = 8,
["z"] = 9 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4 + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{(4 + (-11))^2}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 + 13",
["typ"] = "plus" },
["render"] = "(-11 + 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{(4 + (-11))^2}{-9} \\cdot (-11 + 13)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{(4 + (-11))^2}{-9} \\cdot (-11 + 13) - (-9)",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.68, bodu=111, $$4\frac{4}{12} \cdot \frac{15 \cdot 10 - (2\frac{3}{11} + (-16))}{-13}=\textcolor{white}{-54\frac{19}{33}}$$return {
["body"] = 111,
["id"] = "ERwbpT_0809_2021",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -54.575757575758,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1801,
["jmenovatel"] = 33 },
["render"] = "\\frac{-23413}{429}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{19}{33}",
["x"] = -54,
["y"] = 19,
["z"] = 33 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "15 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{11} + (-16)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{11} + (-16))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot 10 - (2\\frac{3}{11} + (-16))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{15 \\cdot 10 - (2\\frac{3}{11} + (-16))}{-13}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{12} \\cdot \\frac{15 \\cdot 10 - (2\\frac{3}{11} + (-16))}{-13}",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.69, bodu=173, $$-17 + (-8 + 1\frac{4}{6} + 1\frac{2}{6}) + \frac{4\frac{2}{5}}{9} - 3\frac{3}{7}=\textcolor{white}{-24\frac{296}{315}}$$return {
["body"] = 173,
["id"] = "fLpzsb_0809_2021",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -24.939682539683,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7856,
["jmenovatel"] = 315 },
["render"] = "\\frac{-7856}{315}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{296}{315}",
["x"] = -24,
["y"] = 296,
["z"] = 315 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} + 1\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "-8 + 1\\frac{4}{6} + 1\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "-17 + (-8 + 1\\frac{4}{6} + 1\\frac{2}{6})",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{9}",
["typ"] = "lomeno" },
["render"] = "-17 + (-8 + 1\\frac{4}{6} + 1\\frac{2}{6}) + \\frac{4\\frac{2}{5}}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-17 + (-8 + 1\\frac{4}{6} + 1\\frac{2}{6}) + \\frac{4\\frac{2}{5}}{9} - 3\\frac{3}{7}",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.7, bodu=113, $$13 + (-17 \cdot \frac{3 - (4\frac{2}{6} + (-15))}{2\frac{4}{13}})=\textcolor{white}{-87\frac{61}{90}}$$return {
["body"] = 113,
["id"] = "Bb2wqT_0809_2021",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -87.677777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7891,
["jmenovatel"] = 90 },
["render"] = "\\frac{-7891}{90}",
["typ"] = "cislo" },
["tex"] = "-87\\frac{61}{90}",
["x"] = -87,
["y"] = 61,
["z"] = 90 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + (-15)",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{6} + (-15))",
["typ"] = "zavorka" },
["render"] = "3 - (4\\frac{2}{6} + (-15))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{3 - (4\\frac{2}{6} + (-15))}{2\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "-17 \\cdot \\frac{3 - (4\\frac{2}{6} + (-15))}{2\\frac{4}{13}}",
["typ"] = "krat" },
["render"] = "13 + (-17 \\cdot \\frac{3 - (4\\frac{2}{6} + (-15))}{2\\frac{4}{13}})",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.71, bodu=115, $$\frac{\frac{4\frac{4}{9} - (-3)}{-11} \cdot -14}{4\frac{5}{10}}=\textcolor{white}{2\frac{94}{891}}$$return {
["body"] = 115,
["id"] = "JWE7KX_0809_2021",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 2.1054994388328,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1876,
["jmenovatel"] = 891 },
["render"] = "\\frac{1876}{891}",
["typ"] = "cislo" },
["tex"] = "2\\frac{94}{891}",
["x"] = 2,
["y"] = 94,
["z"] = 891 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} - (-3)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9} - (-3)}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{9} - (-3)}{-11} \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{4}{9} - (-3)}{-11} \\cdot -14}{4\\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.72, bodu=116, $$\frac{-10 \cdot 13 \cdot 1\frac{1}{4}}{-13 - 16 + 2\frac{4}{11}}=\textcolor{white}{6\frac{59}{586}}$$return {
["body"] = 116,
["id"] = "PuJO6J_0809_2021",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 6.1006825938567,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3575,
["jmenovatel"] = 586 },
["render"] = "\\frac{-3575}{-586}",
["typ"] = "cislo" },
["tex"] = "6\\frac{59}{586}",
["x"] = 6,
["y"] = 59,
["z"] = 586 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "-10 \\cdot 13 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-13 - 16",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "-13 - 16 + 2\\frac{4}{11}",
["typ"] = "plus" },
["render"] = "\\frac{-10 \\cdot 13 \\cdot 1\\frac{1}{4}}{-13 - 16 + 2\\frac{4}{11}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.73, bodu=90, $$\frac{15}{\frac{3\frac{4}{8}}{-4 \cdot 14} + (-6 - (-15))}=\textcolor{white}{1\frac{97}{143}}$$return {
["body"] = 90,
["id"] = "dVY6wf_0809_2021",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 1.6783216783217,
["objekt"] = {
["hodnota"] = {
["citatel"] = 240,
["jmenovatel"] = 143 },
["render"] = "\\frac{240}{143}",
["typ"] = "cislo" },
["tex"] = "1\\frac{97}{143}",
["x"] = 1,
["y"] = 97,
["z"] = 143 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 14",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{8}}{-4 \\cdot 14}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-6 - (-15)",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{8}}{-4 \\cdot 14} + (-6 - (-15))",
["typ"] = "plus" },
["render"] = "\\frac{15}{\\frac{3\\frac{4}{8}}{-4 \\cdot 14} + (-6 - (-15))}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.74, bodu=95, $$(15 - 4\frac{2}{5}) \cdot (15 + (19 + (-11))^2) \cdot 13=\textcolor{white}{10886{,}2}$$return {
["body"] = 95,
["id"] = "XgAup7_0809_2021",
["obtiznost"] = 0.966,
["reseni"] = {
["float"] = 10886.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 54431,
["jmenovatel"] = 5 },
["render"] = "\\frac{54431}{5}",
["typ"] = "cislo" },
["tex"] = "10886\\frac{1}{5}",
["tex_float"] = "10886{,}2",
["x"] = 10886,
["y"] = 1,
["z"] = 5 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "15 - 4\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "(15 - 4\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "19 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(19 + (-11))^2",
["typ"] = "mocnina" },
["render"] = "15 + (19 + (-11))^2",
["typ"] = "plus" },
["render"] = "(15 + (19 + (-11))^2)",
["typ"] = "zavorka" },
["render"] = "(15 - 4\\frac{2}{5}) \\cdot (15 + (19 + (-11))^2)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(15 - 4\\frac{2}{5}) \\cdot (15 + (19 + (-11))^2) \\cdot 13",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.75, bodu=93, $$11 \cdot -13 \cdot 5 - 3\frac{4}{6} \cdot 7=\textcolor{white}{-740\frac{2}{3}}$$return {
["body"] = 93,
["id"] = "uNNvAK_0809_2021",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -740.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2222,
["jmenovatel"] = 3 },
["render"] = "\\frac{-2222}{3}",
["typ"] = "cislo" },
["tex"] = "-740\\frac{2}{3}",
["x"] = -740,
["y"] = 2,
["z"] = 3 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 5",
["typ"] = "krat" },
["render"] = "11 \\cdot -13 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} \\cdot 7",
["typ"] = "krat" },
["render"] = "11 \\cdot -13 \\cdot 5 - 3\\frac{4}{6} \\cdot 7",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.76, bodu=185, $$\frac{-10}{3\frac{4}{5} \cdot 4\frac{2}{4} - (3\frac{1}{5} - 4\frac{3}{11})}=\textcolor{white}{-\frac{1100}{1999}}$$return {
["body"] = 185,
["id"] = "ngA9Ji_0809_2021",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -0.55027513756878,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1100,
["jmenovatel"] = 1999 },
["render"] = "\\frac{-1100}{1999}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1100}{1999}",
["y"] = -1100,
["z"] = 1999 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{5} \\cdot 4\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{5} - 4\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{5} - 4\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{5} \\cdot 4\\frac{2}{4} - (3\\frac{1}{5} - 4\\frac{3}{11})",
["typ"] = "minus" },
["render"] = "\\frac{-10}{3\\frac{4}{5} \\cdot 4\\frac{2}{4} - (3\\frac{1}{5} - 4\\frac{3}{11})}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.77, bodu=169, $$(-19 + 2) \cdot (16 + (\frac{9}{(1\frac{5}{11} - 2\frac{5}{11})^3})^3)=\textcolor{white}{12121}$$return {
["body"] = 169,
["id"] = "1c8sx7_0809_2021",
["obtiznost"] = 1.4628,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12121,
["jmenovatel"] = 1 },
["render"] = "\\frac{12121}{1}",
["typ"] = "cislo" },
["tex"] = "12121",
["x"] = 12121 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-19 + 2",
["typ"] = "plus" },
["render"] = "(-19 + 2)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{11} - 2\\frac{5}{11}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{5}{11} - 2\\frac{5}{11})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(1\\frac{5}{11} - 2\\frac{5}{11})^3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{(1\\frac{5}{11} - 2\\frac{5}{11})^3})^3",
["typ"] = "mocnina" },
["render"] = "16 + (\\frac{9}{(1\\frac{5}{11} - 2\\frac{5}{11})^3})^3",
["typ"] = "plus" },
["render"] = "(16 + (\\frac{9}{(1\\frac{5}{11} - 2\\frac{5}{11})^3})^3)",
["typ"] = "zavorka" },
["render"] = "(-19 + 2) \\cdot (16 + (\\frac{9}{(1\\frac{5}{11} - 2\\frac{5}{11})^3})^3)",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.78, bodu=260, $$\frac{2\frac{1}{4} \cdot 4\frac{2}{9}}{2\frac{3}{8} - 2\frac{1}{5} + \frac{4\frac{1}{6}}{4\frac{1}{8}}}=\textcolor{white}{8\frac{4}{247}}$$return {
["body"] = 260,
["id"] = "MTREmq_0809_2021",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 8.0161943319838,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1980,
["jmenovatel"] = 247 },
["render"] = "\\frac{75240}{9386}",
["typ"] = "cislo" },
["tex"] = "8\\frac{4}{247}",
["x"] = 8,
["y"] = 4,
["z"] = 247 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} \\cdot 4\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} - 2\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{6}}{4\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{8} - 2\\frac{1}{5} + \\frac{4\\frac{1}{6}}{4\\frac{1}{8}}",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{1}{4} \\cdot 4\\frac{2}{9}}{2\\frac{3}{8} - 2\\frac{1}{5} + \\frac{4\\frac{1}{6}}{4\\frac{1}{8}}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.79, bodu=190, $$\frac{1\frac{2}{11} - 21 + 3\frac{3}{7}}{4\frac{2}{8} - 1\frac{3}{6}} \cdot -16=\textcolor{white}{95\frac{303}{847}}$$return {
["body"] = 190,
["id"] = "SPMVkG_0809_2021",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 95.357733175915,
["objekt"] = {
["hodnota"] = {
["citatel"] = 80768,
["jmenovatel"] = 847 },
["render"] = "\\frac{80768}{847}",
["typ"] = "cislo" },
["tex"] = "95\\frac{303}{847}",
["x"] = 95,
["y"] = 303,
["z"] = 847 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{11} - 21",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{11} - 21 + 3\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 1\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{2}{11} - 21 + 3\\frac{3}{7}}{4\\frac{2}{8} - 1\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{11} - 21 + 3\\frac{3}{7}}{4\\frac{2}{8} - 1\\frac{3}{6}} \\cdot -16",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.8, bodu=159, $$\frac{11 \cdot 1\frac{3}{12} \cdot 4\frac{1}{6} \cdot 4}{3\frac{4}{10}}=\textcolor{white}{67\frac{41}{102}}$$return {
["body"] = 159,
["id"] = "FBGIp8_0809_2021",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 67.401960784314,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6875,
["jmenovatel"] = 102 },
["render"] = "\\frac{6875}{102}",
["typ"] = "cislo" },
["tex"] = "67\\frac{41}{102}",
["x"] = 67,
["y"] = 41,
["z"] = 102 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{3}{12} \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{3}{12} \\cdot 4\\frac{1}{6} \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 1\\frac{3}{12} \\cdot 4\\frac{1}{6} \\cdot 4}{3\\frac{4}{10}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.81, bodu=129, $$\frac{(16 - \frac{2\frac{1}{9}}{13}) \cdot 16 \cdot 3\frac{1}{11}}{8}=\textcolor{white}{97\frac{1165}{1287}}$$return {
["body"] = 129,
["id"] = "frAegE_0809_2021",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 97.905205905206,
["objekt"] = {
["hodnota"] = {
["citatel"] = 126004,
["jmenovatel"] = 1287 },
["render"] = "\\frac{1008032}{10296}",
["typ"] = "cislo" },
["tex"] = "97\\frac{1165}{1287}",
["x"] = 97,
["y"] = 1165,
["z"] = 1287 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{9}}{13}",
["typ"] = "lomeno" },
["render"] = "16 - \\frac{2\\frac{1}{9}}{13}",
["typ"] = "minus" },
["render"] = "(16 - \\frac{2\\frac{1}{9}}{13})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(16 - \\frac{2\\frac{1}{9}}{13}) \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "(16 - \\frac{2\\frac{1}{9}}{13}) \\cdot 16 \\cdot 3\\frac{1}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(16 - \\frac{2\\frac{1}{9}}{13}) \\cdot 16 \\cdot 3\\frac{1}{11}}{8}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.82, bodu=102, $$1\frac{5}{9} \cdot -21 \cdot -13 \cdot 16 \cdot -18=\textcolor{white}{-122304}$$return {
["body"] = 102,
["id"] = "TkCJ0c_0809_2021",
["obtiznost"] = 1.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -122304,
["jmenovatel"] = 1 },
["render"] = "\\frac{-366912}{3}",
["typ"] = "cislo" },
["tex"] = "-122304",
["x"] = -122304 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-21 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-21 \\cdot -13 \\cdot 16",
["typ"] = "krat" },
["render"] = "1\\frac{5}{9} \\cdot -21 \\cdot -13 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} \\cdot -21 \\cdot -13 \\cdot 16 \\cdot -18",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.83, bodu=197, $$-6 + 3\frac{1}{5} - \frac{\frac{13}{2\frac{1}{6}} \cdot 2\frac{5}{15}}{1\frac{3}{10}}=\textcolor{white}{-13\frac{37}{65}}$$return {
["body"] = 197,
["id"] = "wOPoET_0809_2021",
["obtiznost"] = 1.63,
["reseni"] = {
["float"] = -13.569230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = -882,
["jmenovatel"] = 65 },
["render"] = "\\frac{-882}{65}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{37}{65}",
["x"] = -13,
["y"] = 37,
["z"] = 65 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-6 + 3\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{2\\frac{1}{6}} \\cdot 2\\frac{5}{15}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{2\\frac{1}{6}} \\cdot 2\\frac{5}{15}}{1\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "-6 + 3\\frac{1}{5} - \\frac{\\frac{13}{2\\frac{1}{6}} \\cdot 2\\frac{5}{15}}{1\\frac{3}{10}}",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.84, bodu=105, $$\frac{3\frac{4}{10}}{17 \cdot \frac{-8}{-8} \cdot -3}=\textcolor{white}{-\frac{1}{15}}$$return {
["body"] = 105,
["id"] = "nHRYV3_0809_2021",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -0.066666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 15 },
["render"] = "\\frac{17}{-255}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{15}",
["y"] = -1,
["z"] = 15 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "17 \\cdot \\frac{-8}{-8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "17 \\cdot \\frac{-8}{-8} \\cdot -3",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{10}}{17 \\cdot \\frac{-8}{-8} \\cdot -3}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.85, bodu=80, $$\frac{-22}{16 \cdot -11} \cdot \frac{10}{15}=\textcolor{white}{\frac{1}{12}}$$return {
["body"] = 80,
["id"] = "B7oONX_0809_2021",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 0.083333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 12 },
["render"] = "\\frac{2}{24}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{12}",
["y"] = 1,
["z"] = 12 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "16 \\cdot -11",
["typ"] = "krat" },
["render"] = "\\frac{-22}{16 \\cdot -11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{10}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{-22}{16 \\cdot -11} \\cdot \\frac{10}{15}",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.86, bodu=168, $$-19 \cdot 3\frac{1}{7} \cdot (\frac{-10}{4\frac{5}{13} - 13} + 3\frac{5}{15})=\textcolor{white}{-268\frac{211}{588}}$$return {
["body"] = 168,
["id"] = "p0Uavx_0809_2021",
["obtiznost"] = 1.46,
["reseni"] = {
["float"] = -268.35884353741,
["objekt"] = {
["hodnota"] = {
["citatel"] = -157795,
["jmenovatel"] = 588 },
["render"] = "\\frac{-315590}{1176}",
["typ"] = "cislo" },
["tex"] = "-268\\frac{211}{588}",
["x"] = -268,
["y"] = 211,
["z"] = 588 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 3\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} - 13",
["typ"] = "minus" },
["render"] = "\\frac{-10}{4\\frac{5}{13} - 13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{4\\frac{5}{13} - 13} + 3\\frac{5}{15}",
["typ"] = "plus" },
["render"] = "(\\frac{-10}{4\\frac{5}{13} - 13} + 3\\frac{5}{15})",
["typ"] = "zavorka" },
["render"] = "-19 \\cdot 3\\frac{1}{7} \\cdot (\\frac{-10}{4\\frac{5}{13} - 13} + 3\\frac{5}{15})",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.87, bodu=138, $$11 - 13 \cdot (2\frac{1}{10} + 14 + 2\frac{4}{7} - 15 - (-6))=\textcolor{white}{-114\frac{51}{70}}$$return {
["body"] = 138,
["id"] = "NhFsY4_0809_2021",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = -114.72857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8031,
["jmenovatel"] = 70 },
["render"] = "\\frac{-8031}{70}",
["typ"] = "cislo" },
["tex"] = "-114\\frac{51}{70}",
["x"] = -114,
["y"] = 51,
["z"] = 70 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.87",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - 15",
["typ"] = "minus" },
["render"] = "14 + 2\\frac{4}{7} - 15",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "14 + 2\\frac{4}{7} - 15 - (-6)",
["typ"] = "minus" },
["render"] = "2\\frac{1}{10} + 14 + 2\\frac{4}{7} - 15 - (-6)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{10} + 14 + 2\\frac{4}{7} - 15 - (-6))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (2\\frac{1}{10} + 14 + 2\\frac{4}{7} - 15 - (-6))",
["typ"] = "krat" },
["render"] = "11 - 13 \\cdot (2\\frac{1}{10} + 14 + 2\\frac{4}{7} - 15 - (-6))",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.88, bodu=239, $$(\frac{(12 - 4\frac{4}{6})^2}{-11} \cdot 1\frac{5}{10} + (-19) - (-16))^2=\textcolor{white}{106\frac{7}{9}}$$return {
["body"] = 239,
["id"] = "Z5Y4Tl_0809_2021",
["obtiznost"] = 1.8652,
["reseni"] = {
["float"] = 106.77777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 961,
["jmenovatel"] = 9 },
["render"] = "\\frac{961}{9}",
["typ"] = "cislo" },
["tex"] = "106\\frac{7}{9}",
["x"] = 106,
["y"] = 7,
["z"] = 9 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.88",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{4}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 4\\frac{4}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(12 - 4\\frac{4}{6})^2}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{(12 - 4\\frac{4}{6})^2}{-11} \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{(12 - 4\\frac{4}{6})^2}{-11} \\cdot 1\\frac{5}{10} + (-19)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{(12 - 4\\frac{4}{6})^2}{-11} \\cdot 1\\frac{5}{10} + (-19) - (-16)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{(12 - 4\\frac{4}{6})^2}{-11} \\cdot 1\\frac{5}{10} + (-19) - (-16))^2",
["typ"] = "mocnina" } }
seed: 6HyofD1YlisxP9zVolP2_0.89, bodu=207, $$(14 + 1\frac{5}{15}) \cdot (\frac{2\frac{3}{8}}{4\frac{5}{13} + 3} - 2\frac{5}{13} - 6)=\textcolor{white}{-123\frac{9475}{14976}}$$return {
["body"] = 207,
["id"] = "i5fJmq_0809_2021",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = -123.63267895299,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1851523,
["jmenovatel"] = 14976 },
["render"] = "\\frac{-3703046}{29952}",
["typ"] = "cislo" },
["tex"] = "-123\\frac{9475}{14976}",
["x"] = -123,
["y"] = 9475,
["z"] = 14976 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.89",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{5}{15}",
["typ"] = "plus" },
["render"] = "(14 + 1\\frac{5}{15})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{13} + 3",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{3}{8}}{4\\frac{5}{13} + 3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{8}}{4\\frac{5}{13} + 3} - 2\\frac{5}{13}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{8}}{4\\frac{5}{13} + 3} - 2\\frac{5}{13} - 6",
["typ"] = "minus" },
["render"] = "(\\frac{2\\frac{3}{8}}{4\\frac{5}{13} + 3} - 2\\frac{5}{13} - 6)",
["typ"] = "zavorka" },
["render"] = "(14 + 1\\frac{5}{15}) \\cdot (\\frac{2\\frac{3}{8}}{4\\frac{5}{13} + 3} - 2\\frac{5}{13} - 6)",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.9, bodu=113, $$\frac{2\frac{5}{13}}{13} - (\frac{20}{-8 \cdot -5} - 12)=\textcolor{white}{11\frac{231}{338}}$$return {
["body"] = 113,
["id"] = "O5zUL9_0809_2021",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 11.683431952663,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3949,
["jmenovatel"] = 338 },
["render"] = "\\frac{3949}{338}",
["typ"] = "cislo" },
["tex"] = "11\\frac{231}{338}",
["x"] = 11,
["y"] = 231,
["z"] = 338 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{13}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -5",
["typ"] = "krat" },
["render"] = "\\frac{20}{-8 \\cdot -5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{20}{-8 \\cdot -5} - 12",
["typ"] = "minus" },
["render"] = "(\\frac{20}{-8 \\cdot -5} - 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{13}}{13} - (\\frac{20}{-8 \\cdot -5} - 12)",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.91, bodu=201, $$\frac{-10 + \frac{2\frac{5}{9}}{3\frac{5}{9} - (-14 \cdot 18)}}{(1\frac{3}{6} + (-11))^2}=\textcolor{white}{-\frac{999}{9025}}$$return {
["body"] = 201,
["id"] = "5NzUbW_0809_2021",
["obtiznost"] = 1.656,
["reseni"] = {
["float"] = -0.11069252077562,
["objekt"] = {
["hodnota"] = {
["citatel"] = -999,
["jmenovatel"] = 9025 },
["render"] = "\\frac{-3996}{36100}",
["typ"] = "cislo" },
["tex"] = "-\\frac{999}{9025}",
["y"] = -999,
["z"] = 9025 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 18",
["typ"] = "krat" },
["render"] = "3\\frac{5}{9} - (-14 \\cdot 18)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{9}}{3\\frac{5}{9} - (-14 \\cdot 18)}",
["typ"] = "lomeno" },
["render"] = "-10 + \\frac{2\\frac{5}{9}}{3\\frac{5}{9} - (-14 \\cdot 18)}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{6} + (-11))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-10 + \\frac{2\\frac{5}{9}}{3\\frac{5}{9} - (-14 \\cdot 18)}}{(1\\frac{3}{6} + (-11))^2}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.92, bodu=179, $$((\frac{15}{-10})^2 - (-13 - 12)) \cdot (2\frac{5}{10} + 1\frac{1}{10} + 2\frac{1}{2})=\textcolor{white}{166{,}225}$$return {
["body"] = 179,
["id"] = "IbfO8i_0809_2021",
["obtiznost"] = 1.5252,
["reseni"] = {
["float"] = 166.225,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6649,
["jmenovatel"] = 40 },
["render"] = "\\frac{6649}{40}",
["typ"] = "cislo" },
["tex"] = "166\\frac{9}{40}",
["tex_float"] = "166{,}225",
["x"] = 166,
["y"] = 9,
["z"] = 40 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.92",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{15}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{15}{-10})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-13 - 12",
["typ"] = "minus" },
["render"] = "(-13 - 12)",
["typ"] = "zavorka" },
["render"] = "(\\frac{15}{-10})^2 - (-13 - 12)",
["typ"] = "minus" },
["render"] = "((\\frac{15}{-10})^2 - (-13 - 12))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + 1\\frac{1}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + 1\\frac{1}{10} + 2\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{10} + 1\\frac{1}{10} + 2\\frac{1}{2})",
["typ"] = "zavorka" },
["render"] = "((\\frac{15}{-10})^2 - (-13 - 12)) \\cdot (2\\frac{5}{10} + 1\\frac{1}{10} + 2\\frac{1}{2})",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.93, bodu=251, $$\frac{10 - 4\frac{4}{15}}{\frac{2\frac{2}{8}}{1\frac{5}{6}} - \frac{4\frac{1}{8}}{2\frac{5}{9}}}=\textcolor{white}{-14\frac{9634}{11745}}$$return {
["body"] = 251,
["id"] = "1BwUwU_0809_2021",
["obtiznost"] = 1.93,
["reseni"] = {
["float"] = -14.820263942103,
["objekt"] = {
["hodnota"] = {
["citatel"] = -174064,
["jmenovatel"] = 11745 },
["render"] = "\\frac{174064}{-11745}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{9634}{11745}",
["x"] = -14,
["y"] = 9634,
["z"] = 11745 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 64,
["jmenovatel"] = 15 },
["render"] = "4\\frac{4}{15}",
["typ"] = "cislo" },
["render"] = "10 - 4\\frac{4}{15}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{1\\frac{5}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{8}}{2\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{8}}{1\\frac{5}{6}} - \\frac{4\\frac{1}{8}}{2\\frac{5}{9}}",
["typ"] = "minus" },
["render"] = "\\frac{10 - 4\\frac{4}{15}}{\\frac{2\\frac{2}{8}}{1\\frac{5}{6}} - \\frac{4\\frac{1}{8}}{2\\frac{5}{9}}}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.94, bodu=253, $$1\frac{2}{12} - (4\frac{3}{8} - 15) \cdot (3\frac{4}{11} + 3\frac{1}{6} \cdot 3\frac{3}{6})=\textcolor{white}{154\frac{703}{1056}}$$return {
["body"] = 253,
["id"] = "1xnNA9_0809_2021",
["obtiznost"] = 1.94,
["reseni"] = {
["float"] = 154.66571969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = 163327,
["jmenovatel"] = 1056 },
["render"] = "\\frac{979962}{6336}",
["typ"] = "cislo" },
["tex"] = "154\\frac{703}{1056}",
["x"] = 154,
["y"] = 703,
["z"] = 1056 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} - 15",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{8} - 15)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "3\\frac{4}{11} + 3\\frac{1}{6} \\cdot 3\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{11} + 3\\frac{1}{6} \\cdot 3\\frac{3}{6})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{3}{8} - 15) \\cdot (3\\frac{4}{11} + 3\\frac{1}{6} \\cdot 3\\frac{3}{6})",
["typ"] = "krat" },
["render"] = "1\\frac{2}{12} - (4\\frac{3}{8} - 15) \\cdot (3\\frac{4}{11} + 3\\frac{1}{6} \\cdot 3\\frac{3}{6})",
["typ"] = "minus" } }
seed: 6HyofD1YlisxP9zVolP2_0.95, bodu=151, $$9 \cdot (2\frac{2}{11} - 5 - (-15 \cdot \frac{-12}{3\frac{3}{5}}))=\textcolor{white}{-475\frac{4}{11}}$$return {
["body"] = 151,
["id"] = "m7Dnnd_0809_2021",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -475.36363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5229,
["jmenovatel"] = 11 },
["render"] = "\\frac{-5229}{11}",
["typ"] = "cislo" },
["tex"] = "-475\\frac{4}{11}",
["x"] = -475,
["y"] = 4,
["z"] = 11 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{11} - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{3\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot \\frac{-12}{3\\frac{3}{5}}",
["typ"] = "krat" },
["render"] = "2\\frac{2}{11} - 5 - (-15 \\cdot \\frac{-12}{3\\frac{3}{5}})",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{11} - 5 - (-15 \\cdot \\frac{-12}{3\\frac{3}{5}}))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (2\\frac{2}{11} - 5 - (-15 \\cdot \\frac{-12}{3\\frac{3}{5}}))",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.96, bodu=152, $$\frac{1\frac{4}{7}}{-17 \cdot -8} \cdot \frac{10 - (-15)}{2\frac{1}{7}}=\textcolor{white}{\frac{55}{408}}$$return {
["body"] = 152,
["id"] = "SwSSvT_0809_2021",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 0.13480392156863,
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 408 },
["render"] = "\\frac{385}{2856}",
["typ"] = "cislo" },
["tex"] = "\\frac{55}{408}",
["y"] = 55,
["z"] = 408 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-17 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{7}}{-17 \\cdot -8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "10 - (-15)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10 - (-15)}{2\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{7}}{-17 \\cdot -8} \\cdot \\frac{10 - (-15)}{2\\frac{1}{7}}",
["typ"] = "krat" } }
seed: 6HyofD1YlisxP9zVolP2_0.97, bodu=221, $$\frac{1\frac{4}{10}}{\frac{-17}{2\frac{3}{8}} + 11 + 2\frac{4}{7} + 2\frac{1}{5} + (-20)}=\textcolor{white}{-\frac{931}{7572}}$$return {
["body"] = 221,
["id"] = "g18V48_0809_2021",
["obtiznost"] = 1.77,
["reseni"] = {
["float"] = -0.1229529846804,
["objekt"] = {
["hodnota"] = {
["citatel"] = -931,
["jmenovatel"] = 7572 },
["render"] = "\\frac{4655}{-37860}",
["typ"] = "cislo" },
["tex"] = "-\\frac{931}{7572}",
["y"] = -931,
["z"] = 7572 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{2\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{4}{7} + 2\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "11 + 2\\frac{4}{7} + 2\\frac{1}{5} + (-20)",
["typ"] = "plus" },
["render"] = "\\frac{-17}{2\\frac{3}{8}} + 11 + 2\\frac{4}{7} + 2\\frac{1}{5} + (-20)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{10}}{\\frac{-17}{2\\frac{3}{8}} + 11 + 2\\frac{4}{7} + 2\\frac{1}{5} + (-20)}",
["typ"] = "lomeno" } }
seed: 6HyofD1YlisxP9zVolP2_0.98, bodu=191, $$(\frac{-14 - 10}{9})^3 + \frac{-12 \cdot 4\frac{5}{7}}{4\frac{1}{2}}=\textcolor{white}{-31\frac{101}{189}}$$return {
["body"] = 191,
["id"] = "5IoJ1F_0809_2021",
["obtiznost"] = 1.5956,
["reseni"] = {
["float"] = -31.534391534392,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5960,
["jmenovatel"] = 189 },
["render"] = "\\frac{-5960}{189}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{101}{189}",
["x"] = -31,
["y"] = 101,
["z"] = 189 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.98",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-14 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-14 - 10}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-14 - 10}{9})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 4\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{-12 \\cdot 4\\frac{5}{7}}{4\\frac{1}{2}}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-14 - 10}{9})^3 + \\frac{-12 \\cdot 4\\frac{5}{7}}{4\\frac{1}{2}}",
["typ"] = "plus" } }
seed: 6HyofD1YlisxP9zVolP2_0.99, bodu=262, $$9 \cdot 4\frac{1}{5} \cdot (12 - 1\frac{4}{9} + 2\frac{3}{10} + \frac{2\frac{2}{7}}{1\frac{5}{9}})=\textcolor{white}{541\frac{169}{350}}$$return {
["body"] = 262,
["id"] = "tgYPjJ_0809_2021",
["obtiznost"] = 1.99,
["reseni"] = {
["float"] = 541.48285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 189519,
["jmenovatel"] = 350 },
["render"] = "\\frac{11939697}{22050}",
["typ"] = "cislo" },
["tex"] = "541\\frac{169}{350}",
["x"] = 541,
["y"] = 169,
["z"] = 350 },
["seed"] = "6HyofD1YlisxP9zVolP2_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 4\\frac{1}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "12 - 1\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{7}}{1\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{10} + \\frac{2\\frac{2}{7}}{1\\frac{5}{9}}",
["typ"] = "plus" },
["render"] = "12 - 1\\frac{4}{9} + 2\\frac{3}{10} + \\frac{2\\frac{2}{7}}{1\\frac{5}{9}}",
["typ"] = "plus" },
["render"] = "(12 - 1\\frac{4}{9} + 2\\frac{3}{10} + \\frac{2\\frac{2}{7}}{1\\frac{5}{9}})",
["typ"] = "zavorka" },
["render"] = "9 \\cdot 4\\frac{1}{5} \\cdot (12 - 1\\frac{4}{9} + 2\\frac{3}{10} + \\frac{2\\frac{2}{7}}{1\\frac{5}{9}})",
["typ"] = "krat" } }
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Lucky-star-good-job-o.gif: 
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Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
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jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
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poehler.gif: 
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