- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: gjFxjnJ9SYnw6QiqP4GT_0, bodu=10, $$4 + \frac{8}{7} - 6=\textcolor{white}{-\frac{6}{7}}$$return {
["body"] = 10,
["id"] = "kt07kt_0323_0312",
["obtiznost"] = 0,
["reseni"] = {
["float"] = -0.85714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 7 },
["render"] = "\\frac{-6}{7}",
["typ"] = "cislo" },
["tex"] = "-\\frac{6}{7}",
["y"] = -6,
["z"] = 7 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["render"] = "4 + \\frac{8}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 + \\frac{8}{7} - 6",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.01, bodu=18, $$\frac{7 - 5}{1\frac{1}{5} - 3}=\textcolor{white}{-1\frac{1}{9}}$$return {
["body"] = 18,
["id"] = "F1mvkL_0323_0312",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -1.1111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 9 },
["render"] = "\\frac{10}{-9}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{9}",
["x"] = -1,
["y"] = 1,
["z"] = 9 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} - 3",
["typ"] = "minus" },
["render"] = "\\frac{7 - 5}{1\\frac{1}{5} - 3}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.02, bodu=11, $$(\frac{6 + 9}{(6 - 6)^3 + 3})^3=\textcolor{white}{125}$$return {
["body"] = 11,
["id"] = "gXUpva_0323_0312",
["obtiznost"] = 0.0708,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 125,
["jmenovatel"] = 1 },
["render"] = "\\frac{125}{1}",
["typ"] = "cislo" },
["tex"] = "125",
["tex_float"] = "125",
["x"] = 125 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.02",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(6 - 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(6 - 6)^3 + 3",
["typ"] = "plus" },
["render"] = "\\frac{6 + 9}{(6 - 6)^3 + 3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{6 + 9}{(6 - 6)^3 + 3})^3",
["typ"] = "mocnina" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.03, bodu=10, $$\frac{7}{7 - \frac{8}{6}}=\textcolor{white}{1\frac{4}{17}}$$return {
["body"] = 10,
["id"] = "aO3WhW_0323_0312",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 1.2352941176471,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 17 },
["render"] = "\\frac{21}{17}",
["typ"] = "cislo" },
["tex"] = "1\\frac{4}{17}",
["x"] = 1,
["y"] = 4,
["z"] = 17 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8}{6}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{8}{6}",
["typ"] = "minus" },
["render"] = "\\frac{7}{7 - \\frac{8}{6}}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.04, bodu=11, $$\frac{(\frac{-7 + 4}{7})^2}{3}=\textcolor{white}{\frac{3}{49}}$$return {
["body"] = 11,
["id"] = "e1k3Tf_0323_0312",
["obtiznost"] = 0.0632,
["reseni"] = {
["float"] = 0.061224489795918,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 49 },
["render"] = "\\frac{9}{147}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{49}",
["y"] = 3,
["z"] = 49 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.04",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-7 + 4",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-7 + 4}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-7 + 4}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-7 + 4}{7})^2}{3}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.05, bodu=5, $$(5 - (7 - 8))^2 - 6=\textcolor{white}{30}$$return {
["body"] = 5,
["id"] = "cBu6bx_0323_0312",
["obtiznost"] = 0.0648,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 1 },
["render"] = "\\frac{30}{1}",
["typ"] = "cislo" },
["tex"] = "30",
["x"] = 30 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.05",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 - 8",
["typ"] = "minus" },
["render"] = "(7 - 8)",
["typ"] = "zavorka" },
["render"] = "5 - (7 - 8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - (7 - 8))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(5 - (7 - 8))^2 - 6",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.06, bodu=12, $$(\frac{\frac{6}{-6 - (-6) + 3}}{6})^4=\textcolor{white}{\frac{1}{81}}$$return {
["body"] = 12,
["id"] = "o5UMnw_0323_0312",
["obtiznost"] = 0.0928,
["reseni"] = {
["float"] = 0.012345679012346,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 81 },
["render"] = "\\frac{1}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{81}",
["y"] = 1,
["z"] = 81 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.06",
["zadani"] = {
["c"] = {
["c1"] = {
["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"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-6 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-6 - (-6) + 3",
["typ"] = "plus" },
["render"] = "\\frac{6}{-6 - (-6) + 3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{6}{-6 - (-6) + 3}}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{\\frac{6}{-6 - (-6) + 3}}{6})^4",
["typ"] = "mocnina" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.07, bodu=11, $$\frac{-11 - 6}{6 \cdot 7}=\textcolor{white}{-\frac{17}{42}}$$return {
["body"] = 11,
["id"] = "jYuynG_0323_0312",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -0.4047619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 42 },
["render"] = "\\frac{-17}{42}",
["typ"] = "cislo" },
["tex"] = "-\\frac{17}{42}",
["y"] = -17,
["z"] = 42 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-11 - 6",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{-11 - 6}{6 \\cdot 7}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.08, bodu=12, $$\frac{3 + 10}{6 \cdot 2}=\textcolor{white}{1\frac{1}{12}}$$return {
["body"] = 12,
["id"] = "WGqx6W_0323_0312",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 1.0833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 12 },
["render"] = "\\frac{13}{12}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{12}",
["x"] = 1,
["y"] = 1,
["z"] = 12 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "6 \\cdot 2",
["typ"] = "krat" },
["render"] = "\\frac{3 + 10}{6 \\cdot 2}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.09, bodu=24, $$(-7 + 3\frac{1}{4}) \cdot (6 - 9)=\textcolor{white}{11{,}25}$$return {
["body"] = 24,
["id"] = "i6mnoG_0323_0312",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 11.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 4 },
["render"] = "\\frac{45}{4}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{4}",
["tex_float"] = "11{,}25",
["x"] = 11,
["y"] = 1,
["z"] = 4 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.09",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "-7 + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(-7 + 3\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 - 9",
["typ"] = "minus" },
["render"] = "(6 - 9)",
["typ"] = "zavorka" },
["render"] = "(-7 + 3\\frac{1}{4}) \\cdot (6 - 9)",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.1, bodu=12, $$\frac{-9 + (-10)}{-3 \cdot 6}=\textcolor{white}{1\frac{1}{18}}$$return {
["body"] = 12,
["id"] = "PO3CQA_0323_0312",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 1.0555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 18 },
["render"] = "\\frac{-19}{-18}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{18}",
["x"] = 1,
["y"] = 1,
["z"] = 18 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-9 + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{-9 + (-10)}{-3 \\cdot 6}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.11, bodu=6, $$-6 \cdot 4 \cdot 5=\textcolor{white}{-120}$$return {
["body"] = 6,
["id"] = "ywJ8FE_0323_0312",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -120,
["jmenovatel"] = 1 },
["render"] = "\\frac{-120}{1}",
["typ"] = "cislo" },
["tex"] = "-120",
["x"] = -120 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 \\cdot 5",
["typ"] = "krat" },
["render"] = "-6 \\cdot 4 \\cdot 5",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.12, bodu=6, $$(7 + 7 + 5 + 6) \cdot 8=\textcolor{white}{200}$$return {
["body"] = 6,
["id"] = "OnoYz1_0323_0312",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 200,
["jmenovatel"] = 1 },
["render"] = "\\frac{200}{1}",
["typ"] = "cislo" },
["tex"] = "200",
["x"] = 200 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.12",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 + 5",
["typ"] = "plus" },
["render"] = "7 + 7 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 + 7 + 5 + 6",
["typ"] = "plus" },
["render"] = "(7 + 7 + 5 + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(7 + 7 + 5 + 6) \\cdot 8",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.13, bodu=16, $$7 \cdot (\frac{10 - 11}{-10})^2=\textcolor{white}{0{,}07}$$return {
["body"] = 16,
["id"] = "PiSjHH_0323_0312",
["obtiznost"] = 0.1704,
["reseni"] = {
["float"] = 0.07,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 100 },
["render"] = "\\frac{7}{100}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{100}",
["tex_float"] = "0{,}07",
["y"] = 7,
["z"] = 100 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 11}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10 - 11}{-10})^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (\\frac{10 - 11}{-10})^2",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.14, bodu=14, $$8 + \frac{13}{4} + 8=\textcolor{white}{19{,}25}$$return {
["body"] = 14,
["id"] = "XXNxqa_0323_0312",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = 19.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 4 },
["render"] = "\\frac{77}{4}",
["typ"] = "cislo" },
["tex"] = "19\\frac{1}{4}",
["tex_float"] = "19{,}25",
["x"] = 19,
["y"] = 1,
["z"] = 4 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4} + 8",
["typ"] = "plus" },
["render"] = "8 + \\frac{13}{4} + 8",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.15, bodu=7, $$7 \cdot (5 - 8)^2 + 4=\textcolor{white}{67}$$return {
["body"] = 7,
["id"] = "b513IF_0323_0312",
["obtiznost"] = 0.154,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 67,
["jmenovatel"] = 1 },
["render"] = "\\frac{67}{1}",
["typ"] = "cislo" },
["tex"] = "67",
["tex_float"] = "67",
["x"] = 67 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - 8)^2",
["typ"] = "mocnina" },
["render"] = "7 \\cdot (5 - 8)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 \\cdot (5 - 8)^2 + 4",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.16, bodu=29, $$(4\frac{5}{6} - 5) \cdot -4 \cdot 7=\textcolor{white}{4\frac{2}{3}}$$return {
["body"] = 29,
["id"] = "4viDDp_0323_0312",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 4.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "\\frac{28}{6}",
["typ"] = "cislo" },
["tex"] = "4\\frac{2}{3}",
["x"] = 4,
["y"] = 2,
["z"] = 3 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.16",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{6} - 5",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{6} - 5)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 7",
["typ"] = "krat" },
["render"] = "(4\\frac{5}{6} - 5) \\cdot -4 \\cdot 7",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.17, bodu=16, $$\frac{(8 + 8) \cdot -8}{4}=\textcolor{white}{-32}$$return {
["body"] = 16,
["id"] = "0bRCNp_0323_0312",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 1 },
["render"] = "\\frac{-128}{4}",
["typ"] = "cislo" },
["tex"] = "-32",
["x"] = -32 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["render"] = "(8 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(8 + 8) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(8 + 8) \\cdot -8}{4}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.18, bodu=16, $$\frac{5 + 3}{5 \cdot 7}=\textcolor{white}{\frac{8}{35}}$$return {
["body"] = 16,
["id"] = "oIIxuP_0323_0312",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = 0.22857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 35 },
["render"] = "\\frac{8}{35}",
["typ"] = "cislo" },
["tex"] = "\\frac{8}{35}",
["y"] = 8,
["z"] = 35 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "5 + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{5 + 3}{5 \\cdot 7}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.19, bodu=8, $$-12 \cdot (-4 + 7)^2 \cdot 3=\textcolor{white}{-324}$$return {
["body"] = 8,
["id"] = "AgyHjd_0323_0312",
["obtiznost"] = 0.194,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -324,
["jmenovatel"] = 1 },
["render"] = "\\frac{-324}{1}",
["typ"] = "cislo" },
["tex"] = "-324",
["tex_float"] = "-324",
["x"] = -324 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.19",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-4 + 7)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-4 + 7)^2 \\cdot 3",
["typ"] = "krat" },
["render"] = "-12 \\cdot (-4 + 7)^2 \\cdot 3",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.2, bodu=9, $$-9 \cdot 7 \cdot 8 \cdot 8=\textcolor{white}{-4032}$$return {
["body"] = 9,
["id"] = "2iPCzE_0323_0312",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4032,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4032}{1}",
["typ"] = "cislo" },
["tex"] = "-4032",
["tex_float"] = "-4032",
["x"] = -4032 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "-9 \\cdot 7 \\cdot 8 \\cdot 8",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.21, bodu=18, $$\frac{-8}{5 \cdot \frac{7}{9}}=\textcolor{white}{-2\frac{2}{35}}$$return {
["body"] = 18,
["id"] = "KjFu6u_0323_0312",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -2.0571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 35 },
["render"] = "\\frac{-72}{35}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{2}{35}",
["x"] = -2,
["y"] = 2,
["z"] = 35 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{9}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot \\frac{7}{9}",
["typ"] = "krat" },
["render"] = "\\frac{-8}{5 \\cdot \\frac{7}{9}}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.22, bodu=19, $$\frac{\frac{10 - 6}{5}}{9}=\textcolor{white}{\frac{4}{45}}$$return {
["body"] = 19,
["id"] = "QRQXMf_0323_0312",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 0.088888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 45 },
["render"] = "\\frac{4}{45}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{45}",
["y"] = 4,
["z"] = 45 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 6}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10 - 6}{5}}{9}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.23, bodu=19, $$\frac{7}{\frac{-5}{6} - 4}=\textcolor{white}{-1\frac{13}{29}}$$return {
["body"] = 19,
["id"] = "i39X6i_0323_0312",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = -1.448275862069,
["objekt"] = {
["hodnota"] = {
["citatel"] = -42,
["jmenovatel"] = 29 },
["render"] = "\\frac{42}{-29}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{13}{29}",
["x"] = -1,
["y"] = 13,
["z"] = 29 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{6} - 4",
["typ"] = "minus" },
["render"] = "\\frac{7}{\\frac{-5}{6} - 4}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.24, bodu=36, $$3\frac{4}{4} + (-9) + (2\frac{4}{6} - 8) \cdot -7=\textcolor{white}{32\frac{1}{3}}$$return {
["body"] = 36,
["id"] = "oEroaT_0323_0312",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 32.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 97,
["jmenovatel"] = 3 },
["render"] = "\\frac{97}{3}",
["typ"] = "cislo" },
["tex"] = "32\\frac{1}{3}",
["x"] = 32,
["y"] = 1,
["z"] = 3 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{4} + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} - 8",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{6} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{6} - 8) \\cdot -7",
["typ"] = "krat" },
["render"] = "3\\frac{4}{4} + (-9) + (2\\frac{4}{6} - 8) \\cdot -7",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.25, bodu=21, $$\frac{\frac{13}{5 \cdot 9}}{4}=\textcolor{white}{\frac{13}{180}}$$return {
["body"] = 21,
["id"] = "URH2Am_0323_0312",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 0.072222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 180 },
["render"] = "\\frac{13}{180}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{180}",
["y"] = 13,
["z"] = 180 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{13}{5 \\cdot 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{5 \\cdot 9}}{4}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.26, bodu=10, $$11 \cdot 6 \cdot -10 + (-4)=\textcolor{white}{-664}$$return {
["body"] = 10,
["id"] = "hS7ysS_0323_0312",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -664,
["jmenovatel"] = 1 },
["render"] = "\\frac{-664}{1}",
["typ"] = "cislo" },
["tex"] = "-664",
["x"] = -664 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "11 \\cdot 6 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "11 \\cdot 6 \\cdot -10 + (-4)",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.27, bodu=39, $$(14 + 2 - 13)^2 \cdot 3\frac{2}{6} + 3=\textcolor{white}{33}$$return {
["body"] = 39,
["id"] = "3HqQEv_0323_0312",
["obtiznost"] = 0.474,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 1 },
["render"] = "\\frac{33}{1}",
["typ"] = "cislo" },
["tex"] = "33",
["tex_float"] = "33",
["x"] = 33 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "14 + 2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "14 + 2 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 + 2 - 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(14 + 2 - 13)^2 \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(14 + 2 - 13)^2 \\cdot 3\\frac{2}{6} + 3",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.28, bodu=23, $$\frac{14}{-5} \cdot (8 - 12)=\textcolor{white}{11{,}2}$$return {
["body"] = 23,
["id"] = "ZOAlnX_0323_0312",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 11.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 5 },
["render"] = "\\frac{56}{5}",
["typ"] = "cislo" },
["tex"] = "11\\frac{1}{5}",
["tex_float"] = "11{,}2",
["x"] = 11,
["y"] = 1,
["z"] = 5 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-5}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "minus" },
["render"] = "(8 - 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{14}{-5} \\cdot (8 - 12)",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.29, bodu=61, $$1\frac{5}{7} + \frac{2}{\frac{3\frac{4}{8}}{10}}=\textcolor{white}{7\frac{3}{7}}$$return {
["body"] = 61,
["id"] = "mHMwc5_0323_0312",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 7.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 52,
["jmenovatel"] = 7 },
["render"] = "\\frac{52}{7}",
["typ"] = "cislo" },
["tex"] = "7\\frac{3}{7}",
["x"] = 7,
["y"] = 3,
["z"] = 7 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8}}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{2}{\\frac{3\\frac{4}{8}}{10}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{7} + \\frac{2}{\\frac{3\\frac{4}{8}}{10}}",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.3, bodu=12, $$(14 - 11 + (-10 - 7)) \cdot -14=\textcolor{white}{196}$$return {
["body"] = 12,
["id"] = "dpyeW8_0323_0312",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 1 },
["render"] = "\\frac{196}{1}",
["typ"] = "cislo" },
["tex"] = "196",
["x"] = 196 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-10 - 7",
["typ"] = "minus" },
["render"] = "14 - 11 + (-10 - 7)",
["typ"] = "plus" },
["render"] = "(14 - 11 + (-10 - 7))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(14 - 11 + (-10 - 7)) \\cdot -14",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.31, bodu=28, $$(\frac{11 + 9}{6})^2 \cdot (8 - (-11))=\textcolor{white}{211\frac{1}{9}}$$return {
["body"] = 28,
["id"] = "uzdROy_0323_0312",
["obtiznost"] = 0.3536,
["reseni"] = {
["float"] = 211.11111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1900,
["jmenovatel"] = 9 },
["render"] = "\\frac{1900}{9}",
["typ"] = "cislo" },
["tex"] = "211\\frac{1}{9}",
["x"] = 211,
["y"] = 1,
["z"] = 9 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.31",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11 + 9}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11 + 9}{6})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "8 - (-11)",
["typ"] = "minus" },
["render"] = "(8 - (-11))",
["typ"] = "zavorka" },
["render"] = "(\\frac{11 + 9}{6})^2 \\cdot (8 - (-11))",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.32, bodu=43, $$(9 - (-11)) \cdot (4\frac{4}{10} + (-12) - 6)=\textcolor{white}{-272}$$return {
["body"] = 43,
["id"] = "IiwJ2Z_0323_0312",
["obtiznost"] = 0.52,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -272,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1360}{5}",
["typ"] = "cislo" },
["tex"] = "-272",
["x"] = -272 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.32",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 - (-11)",
["typ"] = "minus" },
["render"] = "(9 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + (-12) - 6",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{10} + (-12) - 6)",
["typ"] = "zavorka" },
["render"] = "(9 - (-11)) \\cdot (4\\frac{4}{10} + (-12) - 6)",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.33, bodu=13, $$(10 \cdot -7 + (-3) - 6) \cdot 11=\textcolor{white}{-869}$$return {
["body"] = 13,
["id"] = "rLq3Hm_0323_0312",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -869,
["jmenovatel"] = 1 },
["render"] = "\\frac{-869}{1}",
["typ"] = "cislo" },
["tex"] = "-869",
["tex_float"] = "-869",
["x"] = -869 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.33",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "10 \\cdot -7 + (-3)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "10 \\cdot -7 + (-3) - 6",
["typ"] = "minus" },
["render"] = "(10 \\cdot -7 + (-3) - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(10 \\cdot -7 + (-3) - 6) \\cdot 11",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.34, bodu=68, $$11 - ((\frac{-8}{-12})^3 + 4\frac{5}{9} - 2\frac{3}{5})=\textcolor{white}{8\frac{101}{135}}$$return {
["body"] = 68,
["id"] = "x8TJiC_0323_0312",
["obtiznost"] = 0.754,
["reseni"] = {
["float"] = 8.7481481481481,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1181,
["jmenovatel"] = 135 },
["render"] = "\\frac{1181}{135}",
["typ"] = "cislo" },
["tex"] = "8\\frac{101}{135}",
["x"] = 8,
["y"] = 101,
["z"] = 135 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.34",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-8}{-12})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 2\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "(\\frac{-8}{-12})^3 + 4\\frac{5}{9} - 2\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "((\\frac{-8}{-12})^3 + 4\\frac{5}{9} - 2\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "11 - ((\\frac{-8}{-12})^3 + 4\\frac{5}{9} - 2\\frac{3}{5})",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.35, bodu=14, $$8 - 8 \cdot (5 - 11)=\textcolor{white}{56}$$return {
["body"] = 14,
["id"] = "AvigJ7_0323_0312",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 1 },
["render"] = "\\frac{56}{1}",
["typ"] = "cislo" },
["tex"] = "56",
["x"] = 56 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 - 11",
["typ"] = "minus" },
["render"] = "(5 - 11)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (5 - 11)",
["typ"] = "krat" },
["render"] = "8 - 8 \\cdot (5 - 11)",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.36, bodu=47, $$\frac{\frac{4\frac{2}{7} \cdot -10}{13}}{8}=\textcolor{white}{-\frac{75}{182}}$$return {
["body"] = 47,
["id"] = "xXcrIT_0323_0312",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -0.41208791208791,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 182 },
["render"] = "\\frac{-300}{728}",
["typ"] = "cislo" },
["tex"] = "-\\frac{75}{182}",
["y"] = -75,
["z"] = 182 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7} \\cdot -10}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{7} \\cdot -10}{13}}{8}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.37, bodu=30, $$6 + \frac{11}{\frac{12}{7}}=\textcolor{white}{12\frac{5}{12}}$$return {
["body"] = 30,
["id"] = "oQFGki_0323_0312",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 12.416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 149,
["jmenovatel"] = 12 },
["render"] = "\\frac{149}{12}",
["typ"] = "cislo" },
["tex"] = "12\\frac{5}{12}",
["x"] = 12,
["y"] = 5,
["z"] = 12 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{12}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{12}{7}}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{11}{\\frac{12}{7}}",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.38, bodu=31, $$\frac{15 + 8 \cdot 13}{9 - 4}=\textcolor{white}{23{,}8}$$return {
["body"] = 31,
["id"] = "hvbJCH_0323_0312",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 23.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 119,
["jmenovatel"] = 5 },
["render"] = "\\frac{119}{5}",
["typ"] = "cislo" },
["tex"] = "23\\frac{4}{5}",
["tex_float"] = "23{,}8",
["x"] = 23,
["y"] = 4,
["z"] = 5 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "8 \\cdot 13",
["typ"] = "krat" },
["render"] = "15 + 8 \\cdot 13",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - 4",
["typ"] = "minus" },
["render"] = "\\frac{15 + 8 \\cdot 13}{9 - 4}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.39, bodu=31, $$\frac{16 + \frac{2}{-9}}{-11}=\textcolor{white}{-1\frac{43}{99}}$$return {
["body"] = 31,
["id"] = "fEz3MB_0323_0312",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -1.4343434343434,
["objekt"] = {
["hodnota"] = {
["citatel"] = -142,
["jmenovatel"] = 99 },
["render"] = "\\frac{142}{-99}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{43}{99}",
["x"] = -1,
["y"] = 43,
["z"] = 99 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{2}{-9}",
["typ"] = "lomeno" },
["render"] = "16 + \\frac{2}{-9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{16 + \\frac{2}{-9}}{-11}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.4, bodu=51, $$\frac{-14}{5} + 2\frac{3}{11} - (14 - 12)=\textcolor{white}{-2\frac{29}{55}}$$return {
["body"] = 51,
["id"] = "qem2UT_0323_0312",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = -2.5272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -139,
["jmenovatel"] = 55 },
["render"] = "\\frac{-139}{55}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{29}{55}",
["x"] = -2,
["y"] = 29,
["z"] = 55 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{5} + 2\\frac{3}{11}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "14 - 12",
["typ"] = "minus" },
["render"] = "(14 - 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{-14}{5} + 2\\frac{3}{11} - (14 - 12)",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.41, bodu=54, $$-16 \cdot 2\frac{5}{11} - (-9 + 12)^3 - 2=\textcolor{white}{-68\frac{3}{11}}$$return {
["body"] = 54,
["id"] = "AySECN_0323_0312",
["obtiznost"] = 0.6212,
["reseni"] = {
["float"] = -68.272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -751,
["jmenovatel"] = 11 },
["render"] = "\\frac{-751}{11}",
["typ"] = "cislo" },
["tex"] = "-68\\frac{3}{11}",
["x"] = -68,
["y"] = 3,
["z"] = 11 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 2\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-9 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-9 + 12)^3",
["typ"] = "mocnina" },
["render"] = "-16 \\cdot 2\\frac{5}{11} - (-9 + 12)^3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 2\\frac{5}{11} - (-9 + 12)^3 - 2",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.42, bodu=38, $$\frac{12 + (\frac{8}{12})^4}{(\frac{8}{8})^4}=\textcolor{white}{12\frac{16}{81}}$$return {
["body"] = 38,
["id"] = "Ya0lYU_0323_0312",
["obtiznost"] = 0.4596,
["reseni"] = {
["float"] = 12.197530864198,
["objekt"] = {
["hodnota"] = {
["citatel"] = 988,
["jmenovatel"] = 81 },
["render"] = "\\frac{988}{81}",
["typ"] = "cislo" },
["tex"] = "12\\frac{16}{81}",
["x"] = 12,
["y"] = 16,
["z"] = 81 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{8}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{12})^4",
["typ"] = "mocnina" },
["render"] = "12 + (\\frac{8}{12})^4",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{8})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{12 + (\\frac{8}{12})^4}{(\\frac{8}{8})^4}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.43, bodu=55, $$14 + (4\frac{5}{9} + 12) \cdot \frac{10}{13}=\textcolor{white}{26\frac{86}{117}}$$return {
["body"] = 55,
["id"] = "Wa4lfj_0323_0312",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 26.735042735043,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3128,
["jmenovatel"] = 117 },
["render"] = "\\frac{3128}{117}",
["typ"] = "cislo" },
["tex"] = "26\\frac{86}{117}",
["x"] = 26,
["y"] = 86,
["z"] = 117 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 12",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{9} + 12)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{10}{13}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{5}{9} + 12) \\cdot \\frac{10}{13}",
["typ"] = "krat" },
["render"] = "14 + (4\\frac{5}{9} + 12) \\cdot \\frac{10}{13}",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.44, bodu=36, $$\frac{12 \cdot 13}{9 + 10 + 11}=\textcolor{white}{5{,}2}$$return {
["body"] = 36,
["id"] = "rqFIeS_0323_0312",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 5.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 5 },
["render"] = "\\frac{156}{30}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{5}",
["tex_float"] = "5{,}2",
["x"] = 5,
["y"] = 1,
["z"] = 5 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 + 11",
["typ"] = "plus" },
["render"] = "9 + 10 + 11",
["typ"] = "plus" },
["render"] = "\\frac{12 \\cdot 13}{9 + 10 + 11}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.45, bodu=37, $$8 \cdot (\frac{-4}{13} + 8 + 12)=\textcolor{white}{157\frac{7}{13}}$$return {
["body"] = 37,
["id"] = "tfncov_0323_0312",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 157.53846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2048,
["jmenovatel"] = 13 },
["render"] = "\\frac{2048}{13}",
["typ"] = "cislo" },
["tex"] = "157\\frac{7}{13}",
["x"] = 157,
["y"] = 7,
["z"] = 13 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{13}",
["typ"] = "lomeno" },
["c2"] = {
["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"] = "\\frac{-4}{13} + 8 + 12",
["typ"] = "plus" },
["render"] = "(\\frac{-4}{13} + 8 + 12)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (\\frac{-4}{13} + 8 + 12)",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.46, bodu=58, $$\frac{13}{3\frac{2}{9} + 6 - 12} \cdot -15=\textcolor{white}{70{,}2}$$return {
["body"] = 58,
["id"] = "rBQnET_0323_0312",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 70.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 351,
["jmenovatel"] = 5 },
["render"] = "\\frac{1755}{25}",
["typ"] = "cislo" },
["tex"] = "70\\frac{1}{5}",
["tex_float"] = "70{,}2",
["x"] = 70,
["y"] = 1,
["z"] = 5 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} + 6 - 12",
["typ"] = "minus" },
["render"] = "\\frac{13}{3\\frac{2}{9} + 6 - 12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{13}{3\\frac{2}{9} + 6 - 12} \\cdot -15",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.47, bodu=60, $$-13 \cdot (-8 + 10)^4 \cdot 4\frac{3}{8} \cdot -10=\textcolor{white}{9100}$$return {
["body"] = 60,
["id"] = "lEgM8n_0323_0312",
["obtiznost"] = 0.6768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 9100,
["jmenovatel"] = 1 },
["render"] = "\\frac{36400}{4}",
["typ"] = "cislo" },
["tex"] = "9100",
["tex_float"] = "9100",
["x"] = 9100 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 + 10",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-8 + 10)^4",
["typ"] = "mocnina" },
["render"] = "-13 \\cdot (-8 + 10)^4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot -10",
["typ"] = "krat" },
["render"] = "-13 \\cdot (-8 + 10)^4 \\cdot 4\\frac{3}{8} \\cdot -10",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.48, bodu=65, $$-4 \cdot (11 - 3\frac{2}{6} \cdot (\frac{-10}{18})^2)=\textcolor{white}{-39\frac{215}{243}}$$return {
["body"] = 65,
["id"] = "sZOstu_0323_0312",
["obtiznost"] = 0.7224,
["reseni"] = {
["float"] = -39.884773662551,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9692,
["jmenovatel"] = 243 },
["render"] = "\\frac{-9692}{243}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{215}{243}",
["x"] = -39,
["y"] = 215,
["z"] = 243 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{18}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{18})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{2}{6} \\cdot (\\frac{-10}{18})^2",
["typ"] = "krat" },
["render"] = "11 - 3\\frac{2}{6} \\cdot (\\frac{-10}{18})^2",
["typ"] = "minus" },
["render"] = "(11 - 3\\frac{2}{6} \\cdot (\\frac{-10}{18})^2)",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (11 - 3\\frac{2}{6} \\cdot (\\frac{-10}{18})^2)",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.49, bodu=85, $$(-4 - \frac{3\frac{4}{5}}{-13}) \cdot 4\frac{4}{7} \cdot -8=\textcolor{white}{135\frac{271}{455}}$$return {
["body"] = 85,
["id"] = "iuWaUN_0323_0312",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 135.5956043956,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61696,
["jmenovatel"] = 455 },
["render"] = "\\frac{61696}{455}",
["typ"] = "cislo" },
["tex"] = "135\\frac{271}{455}",
["x"] = 135,
["y"] = 271,
["z"] = 455 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.49",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{5}}{-13}",
["typ"] = "lomeno" },
["render"] = "-4 - \\frac{3\\frac{4}{5}}{-13}",
["typ"] = "minus" },
["render"] = "(-4 - \\frac{3\\frac{4}{5}}{-13})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} \\cdot -8",
["typ"] = "krat" },
["render"] = "(-4 - \\frac{3\\frac{4}{5}}{-13}) \\cdot 4\\frac{4}{7} \\cdot -8",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.5, bodu=62, $$14 - 3\frac{4}{9} - \frac{-14}{\frac{-11}{10}}=\textcolor{white}{-2\frac{17}{99}}$$return {
["body"] = 62,
["id"] = "aLt0eg_0323_0312",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -2.1717171717172,
["objekt"] = {
["hodnota"] = {
["citatel"] = -215,
["jmenovatel"] = 99 },
["render"] = "\\frac{-215}{99}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{17}{99}",
["x"] = -2,
["y"] = 17,
["z"] = 99 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "14 - 3\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["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"] = "\\frac{-14}{\\frac{-11}{10}}",
["typ"] = "lomeno" },
["render"] = "14 - 3\\frac{4}{9} - \\frac{-14}{\\frac{-11}{10}}",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.51, bodu=51, $$12 \cdot \frac{15}{17} - (13 + (-7))^3=\textcolor{white}{-205\frac{7}{17}}$$return {
["body"] = 51,
["id"] = "yslWJS_0323_0312",
["obtiznost"] = 0.5968,
["reseni"] = {
["float"] = -205.41176470588,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3492,
["jmenovatel"] = 17 },
["render"] = "\\frac{-3492}{17}",
["typ"] = "cislo" },
["tex"] = "-205\\frac{7}{17}",
["x"] = -205,
["y"] = 7,
["z"] = 17 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{15}{17}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{15}{17}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(13 + (-7))^3",
["typ"] = "mocnina" },
["render"] = "12 \\cdot \\frac{15}{17} - (13 + (-7))^3",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.52, bodu=64, $$\frac{\frac{4}{\frac{2\frac{4}{8}}{8}} - 7}{-11}=\textcolor{white}{-\frac{29}{55}}$$return {
["body"] = 64,
["id"] = "lWKFEC_0323_0312",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -0.52727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -29,
["jmenovatel"] = 55 },
["render"] = "\\frac{29}{-55}",
["typ"] = "cislo" },
["tex"] = "-\\frac{29}{55}",
["y"] = -29,
["z"] = 55 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{8}}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{2\\frac{4}{8}}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4}{\\frac{2\\frac{4}{8}}{8}} - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{\\frac{2\\frac{4}{8}}{8}} - 7}{-11}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.53, bodu=90, $$2\frac{5}{8} \cdot -15 \cdot 2\frac{1}{7} \cdot 11=\textcolor{white}{-928{,}125}$$return {
["body"] = 90,
["id"] = "etOqTu_0323_0312",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -928.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7425,
["jmenovatel"] = 8 },
["render"] = "\\frac{-51975}{56}",
["typ"] = "cislo" },
["tex"] = "-928\\frac{1}{8}",
["tex_float"] = "-928{,}125",
["x"] = -928,
["y"] = 1,
["z"] = 8 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{7} \\cdot 11",
["typ"] = "krat" },
["render"] = "-15 \\cdot 2\\frac{1}{7} \\cdot 11",
["typ"] = "krat" },
["render"] = "2\\frac{5}{8} \\cdot -15 \\cdot 2\\frac{1}{7} \\cdot 11",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.54, bodu=92, $$(2\frac{3}{4} - (8 + (6 - 4)^2)) \cdot 4\frac{3}{9}=\textcolor{white}{-40\frac{1}{12}}$$return {
["body"] = 92,
["id"] = "GmkOsV_0323_0312",
["obtiznost"] = 0.942,
["reseni"] = {
["float"] = -40.083333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -481,
["jmenovatel"] = 12 },
["render"] = "\\frac{-481}{12}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{1}{12}",
["x"] = -40,
["y"] = 1,
["z"] = 12 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.54",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 4)^2",
["typ"] = "mocnina" },
["render"] = "8 + (6 - 4)^2",
["typ"] = "plus" },
["render"] = "(8 + (6 - 4)^2)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{4} - (8 + (6 - 4)^2)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{4} - (8 + (6 - 4)^2))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{4} - (8 + (6 - 4)^2)) \\cdot 4\\frac{3}{9}",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.55, bodu=68, $$\frac{(\frac{3\frac{2}{6}}{12} - 11) \cdot -13}{9}=\textcolor{white}{15\frac{79}{162}}$$return {
["body"] = 68,
["id"] = "h1KQMV_0323_0312",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 15.487654320988,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2509,
["jmenovatel"] = 162 },
["render"] = "\\frac{2509}{162}",
["typ"] = "cislo" },
["tex"] = "15\\frac{79}{162}",
["x"] = 15,
["y"] = 79,
["z"] = 162 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6}}{12} - 11",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{2}{6}}{12} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(\\frac{3\\frac{2}{6}}{12} - 11) \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{3\\frac{2}{6}}{12} - 11) \\cdot -13}{9}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.56, bodu=94, $$4\frac{5}{11} \cdot (\frac{13 \cdot 10}{3\frac{3}{8}} - 11)=\textcolor{white}{122\frac{173}{297}}$$return {
["body"] = 94,
["id"] = "VWLfFZ_0323_0312",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 122.58249158249,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36407,
["jmenovatel"] = 297 },
["render"] = "\\frac{36407}{297}",
["typ"] = "cislo" },
["tex"] = "122\\frac{173}{297}",
["x"] = 122,
["y"] = 173,
["z"] = 297 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot 10}{3\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{13 \\cdot 10}{3\\frac{3}{8}} - 11",
["typ"] = "minus" },
["render"] = "(\\frac{13 \\cdot 10}{3\\frac{3}{8}} - 11)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{11} \\cdot (\\frac{13 \\cdot 10}{3\\frac{3}{8}} - 11)",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.57, bodu=210, $$2\frac{4}{9} \cdot (\frac{2\frac{3}{6}}{2\frac{5}{8}})^2 - (4\frac{3}{8} - 10)=\textcolor{white}{7\frac{26741}{31752}}$$return {
["body"] = 210,
["id"] = "3YH33U_0323_0312",
["obtiznost"] = 1.7064,
["reseni"] = {
["float"] = 7.8421831695641,
["objekt"] = {
["hodnota"] = {
["citatel"] = 249005,
["jmenovatel"] = 31752 },
["render"] = "\\frac{249005}{31752}",
["typ"] = "cislo" },
["tex"] = "7\\frac{26741}{31752}",
["x"] = 7,
["y"] = 26741,
["z"] = 31752 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{2\\frac{5}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{3}{6}}{2\\frac{5}{8}})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{4}{9} \\cdot (\\frac{2\\frac{3}{6}}{2\\frac{5}{8}})^2",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} - 10",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{8} - 10)",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{9} \\cdot (\\frac{2\\frac{3}{6}}{2\\frac{5}{8}})^2 - (4\\frac{3}{8} - 10)",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.58, bodu=71, $$(7 + 1\frac{3}{9}) \cdot (14 + 13 - 13 - (-8))=\textcolor{white}{183\frac{1}{3}}$$return {
["body"] = 71,
["id"] = "0YPRXN_0323_0312",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 183.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 550,
["jmenovatel"] = 3 },
["render"] = "\\frac{550}{3}",
["typ"] = "cislo" },
["tex"] = "183\\frac{1}{3}",
["x"] = 183,
["y"] = 1,
["z"] = 3 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.58",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "7 + 1\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(7 + 1\\frac{3}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "13 - 13",
["typ"] = "minus" },
["render"] = "14 + 13 - 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "14 + 13 - 13 - (-8)",
["typ"] = "minus" },
["render"] = "(14 + 13 - 13 - (-8))",
["typ"] = "zavorka" },
["render"] = "(7 + 1\\frac{3}{9}) \\cdot (14 + 13 - 13 - (-8))",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.59, bodu=100, $$-14 - 1\frac{1}{5} - 8 - (3 - (-14) + 6)^2=\textcolor{white}{-552{,}2}$$return {
["body"] = 100,
["id"] = "TC7bUc_0323_0312",
["obtiznost"] = 1.002,
["reseni"] = {
["float"] = -552.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2761,
["jmenovatel"] = 5 },
["render"] = "\\frac{-2761}{5}",
["typ"] = "cislo" },
["tex"] = "-552\\frac{1}{5}",
["tex_float"] = "-552{,}2",
["x"] = -552,
["y"] = 1,
["z"] = 5 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-14 - 1\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-14 - 1\\frac{1}{5} - 8",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3 - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3 - (-14) + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3 - (-14) + 6)^2",
["typ"] = "mocnina" },
["render"] = "-14 - 1\\frac{1}{5} - 8 - (3 - (-14) + 6)^2",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.6, bodu=52, $$-14 - ((\frac{-9}{-12})^2 - 6 \cdot -10)=\textcolor{white}{-74\frac{9}{16}}$$return {
["body"] = 52,
["id"] = "ZMoVa5_0323_0312",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -74.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1193,
["jmenovatel"] = 16 },
["render"] = "\\frac{-1193}{16}",
["typ"] = "cislo" },
["tex"] = "-74\\frac{9}{16}",
["x"] = -74,
["y"] = 9,
["z"] = 16 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 \\cdot -10",
["typ"] = "krat" },
["render"] = "(\\frac{-9}{-12})^2 - 6 \\cdot -10",
["typ"] = "minus" },
["render"] = "((\\frac{-9}{-12})^2 - 6 \\cdot -10)",
["typ"] = "zavorka" },
["render"] = "-14 - ((\\frac{-9}{-12})^2 - 6 \\cdot -10)",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.61, bodu=75, $$6 \cdot \frac{13 + 10 - (-8)}{1\frac{1}{6} + (-5)}=\textcolor{white}{-48\frac{12}{23}}$$return {
["body"] = 75,
["id"] = "pGRVhT_0323_0312",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = -48.521739130435,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1116,
["jmenovatel"] = 23 },
["render"] = "\\frac{-1116}{23}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{12}{23}",
["x"] = -48,
["y"] = 12,
["z"] = 23 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "13 + 10 - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{13 + 10 - (-8)}{1\\frac{1}{6} + (-5)}",
["typ"] = "lomeno" },
["render"] = "6 \\cdot \\frac{13 + 10 - (-8)}{1\\frac{1}{6} + (-5)}",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.62, bodu=131, $$\frac{13}{3\frac{3}{5} + \frac{-14}{-11} + 4\frac{3}{8} + 4\frac{5}{7}}=\textcolor{white}{\frac{40040}{43003}}$$return {
["body"] = 131,
["id"] = "rkelK6_0323_0312",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 0.93109783038393,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40040,
["jmenovatel"] = 43003 },
["render"] = "\\frac{40040}{43003}",
["typ"] = "cislo" },
["tex"] = "\\frac{40040}{43003}",
["y"] = 40040,
["z"] = 43003 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-11}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{5} + \\frac{-14}{-11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + 4\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "3\\frac{3}{5} + \\frac{-14}{-11} + 4\\frac{3}{8} + 4\\frac{5}{7}",
["typ"] = "plus" },
["render"] = "\\frac{13}{3\\frac{3}{5} + \\frac{-14}{-11} + 4\\frac{3}{8} + 4\\frac{5}{7}}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.63, bodu=78, $$(13 - (-9)) \cdot \frac{9}{-20} \cdot 3\frac{3}{9}=\textcolor{white}{-33}$$return {
["body"] = 78,
["id"] = "2wPFu5_0323_0312",
["obtiznost"] = 0.83,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -33,
["jmenovatel"] = 1 },
["render"] = "\\frac{-990}{30}",
["typ"] = "cislo" },
["tex"] = "-33",
["tex_float"] = "-33",
["x"] = -33 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "13 - (-9)",
["typ"] = "minus" },
["render"] = "(13 - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-20}",
["typ"] = "lomeno" },
["render"] = "(13 - (-9)) \\cdot \\frac{9}{-20}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(13 - (-9)) \\cdot \\frac{9}{-20} \\cdot 3\\frac{3}{9}",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.64, bodu=105, $$3\frac{3}{7} \cdot -18 \cdot (\frac{-4 + 1\frac{1}{2}}{10} + 15)=\textcolor{white}{-910\frac{2}{7}}$$return {
["body"] = 105,
["id"] = "XZ5gEH_0323_0312",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -910.28571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6372,
["jmenovatel"] = 7 },
["render"] = "\\frac{-25488}{28}",
["typ"] = "cislo" },
["tex"] = "-910\\frac{2}{7}",
["x"] = -910,
["y"] = 2,
["z"] = 7 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{7} \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-4 + 1\\frac{1}{2}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-4 + 1\\frac{1}{2}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-4 + 1\\frac{1}{2}}{10} + 15",
["typ"] = "plus" },
["render"] = "(\\frac{-4 + 1\\frac{1}{2}}{10} + 15)",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{7} \\cdot -18 \\cdot (\\frac{-4 + 1\\frac{1}{2}}{10} + 15)",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.65, bodu=164, $$1\frac{1}{6} - \frac{1\frac{1}{8}}{9} - (-14 + (-17))^2 \cdot -5=\textcolor{white}{4806\frac{1}{24}}$$return {
["body"] = 164,
["id"] = "wcW1ww_0323_0312",
["obtiznost"] = 1.4348,
["reseni"] = {
["float"] = 4806.0416666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 115345,
["jmenovatel"] = 24 },
["render"] = "\\frac{115345}{24}",
["typ"] = "cislo" },
["tex"] = "4806\\frac{1}{24}",
["x"] = 4806,
["y"] = 1,
["z"] = 24 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{8}}{9}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{6} - \\frac{1\\frac{1}{8}}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-14 + (-17)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + (-17))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(-14 + (-17))^2 \\cdot -5",
["typ"] = "krat" },
["render"] = "1\\frac{1}{6} - \\frac{1\\frac{1}{8}}{9} - (-14 + (-17))^2 \\cdot -5",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.66, bodu=81, $$5 \cdot 9 \cdot (16 - (-10 - 1\frac{4}{7}))=\textcolor{white}{1240\frac{5}{7}}$$return {
["body"] = 81,
["id"] = "nN6uQp_0323_0312",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = 1240.7142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8685,
["jmenovatel"] = 7 },
["render"] = "\\frac{8685}{7}",
["typ"] = "cislo" },
["tex"] = "1240\\frac{5}{7}",
["x"] = 1240,
["y"] = 5,
["z"] = 7 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-10 - 1\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(-10 - 1\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "16 - (-10 - 1\\frac{4}{7})",
["typ"] = "minus" },
["render"] = "(16 - (-10 - 1\\frac{4}{7}))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (16 - (-10 - 1\\frac{4}{7}))",
["typ"] = "krat" },
["render"] = "5 \\cdot 9 \\cdot (16 - (-10 - 1\\frac{4}{7}))",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.67, bodu=138, $$15 \cdot 7 \cdot 1\frac{4}{11} - (2\frac{1}{5} + 4\frac{1}{5} + (-11))=\textcolor{white}{147\frac{43}{55}}$$return {
["body"] = 138,
["id"] = "rt8wEW_0323_0312",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 147.78181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8128,
["jmenovatel"] = 55 },
["render"] = "\\frac{8128}{55}",
["typ"] = "cislo" },
["tex"] = "147\\frac{43}{55}",
["x"] = 147,
["y"] = 43,
["z"] = 55 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "15 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 7 \\cdot 1\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} + (-11)",
["typ"] = "plus" },
["render"] = "2\\frac{1}{5} + 4\\frac{1}{5} + (-11)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{5} + 4\\frac{1}{5} + (-11))",
["typ"] = "zavorka" },
["render"] = "15 \\cdot 7 \\cdot 1\\frac{4}{11} - (2\\frac{1}{5} + 4\\frac{1}{5} + (-11))",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.68, bodu=61, $$\frac{(\frac{-10}{-11 + 11 + 4})^2 \cdot -4}{-7 - 10}=\textcolor{white}{1\frac{8}{17}}$$return {
["body"] = 61,
["id"] = "S6syIL_0323_0312",
["obtiznost"] = 0.6916,
["reseni"] = {
["float"] = 1.4705882352941,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 17 },
["render"] = "\\frac{-25}{-17}",
["typ"] = "cislo" },
["tex"] = "1\\frac{8}{17}",
["x"] = 1,
["y"] = 8,
["z"] = 17 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["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"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 + 11 + 4",
["typ"] = "plus" },
["render"] = "\\frac{-10}{-11 + 11 + 4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{-11 + 11 + 4})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{-11 + 11 + 4})^2 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-7 - 10",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{-10}{-11 + 11 + 4})^2 \\cdot -4}{-7 - 10}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.69, bodu=124, $$(\frac{-9}{\frac{(1\frac{1}{7} - 4\frac{1}{7})^2}{-14} + (-12 + 12)^4})^2=\textcolor{white}{196}$$return {
["body"] = 124,
["id"] = "JidUpM_0323_0312",
["obtiznost"] = 1.1732,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 1 },
["render"] = "\\frac{196}{1}",
["typ"] = "cislo" },
["tex"] = "196",
["x"] = 196 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.69",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - 4\\frac{1}{7}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{7} - 4\\frac{1}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{1}{7} - 4\\frac{1}{7})^2}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-12 + 12",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-12 + 12)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{(1\\frac{1}{7} - 4\\frac{1}{7})^2}{-14} + (-12 + 12)^4",
["typ"] = "plus" },
["render"] = "\\frac{-9}{\\frac{(1\\frac{1}{7} - 4\\frac{1}{7})^2}{-14} + (-12 + 12)^4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{\\frac{(1\\frac{1}{7} - 4\\frac{1}{7})^2}{-14} + (-12 + 12)^4})^2",
["typ"] = "mocnina" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.7, bodu=209, $$1\frac{5}{12} - (4\frac{4}{12} + 3\frac{1}{5} - 11) - (4\frac{1}{6} + (-14)) - 4\frac{2}{10}=\textcolor{white}{10\frac{31}{60}}$$return {
["body"] = 209,
["id"] = "UTdyUG_0323_0312",
["obtiznost"] = 1.7,
["reseni"] = {
["float"] = 10.516666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 631,
["jmenovatel"] = 60 },
["render"] = "\\frac{3155}{300}",
["typ"] = "cislo" },
["tex"] = "10\\frac{31}{60}",
["x"] = 10,
["y"] = 31,
["z"] = 60 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + 3\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} + 3\\frac{1}{5} - 11",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{12} + 3\\frac{1}{5} - 11)",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{12} - (4\\frac{4}{12} + 3\\frac{1}{5} - 11)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{6} + (-14)",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{6} + (-14))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{12} - (4\\frac{4}{12} + 3\\frac{1}{5} - 11) - (4\\frac{1}{6} + (-14))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - (4\\frac{4}{12} + 3\\frac{1}{5} - 11) - (4\\frac{1}{6} + (-14)) - 4\\frac{2}{10}",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.71, bodu=88, $$\frac{\frac{-8}{-12 - 3\frac{4}{7}} \cdot 13}{5}=\textcolor{white}{1\frac{183}{545}}$$return {
["body"] = 88,
["id"] = "4Yo7oJ_0323_0312",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 1.3357798165138,
["objekt"] = {
["hodnota"] = {
["citatel"] = 728,
["jmenovatel"] = 545 },
["render"] = "\\frac{728}{545}",
["typ"] = "cislo" },
["tex"] = "1\\frac{183}{545}",
["x"] = 1,
["y"] = 183,
["z"] = 545 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-12 - 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "\\frac{-8}{-12 - 3\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-12 - 3\\frac{4}{7}} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8}{-12 - 3\\frac{4}{7}} \\cdot 13}{5}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.72, bodu=123, $$13 - (-7) + (-10) - (\frac{16}{3\frac{1}{5}})^4 \cdot 12=\textcolor{white}{-7490}$$return {
["body"] = 123,
["id"] = "WHgElD_0323_0312",
["obtiznost"] = 1.1704,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -7490,
["jmenovatel"] = 1 },
["render"] = "\\frac{-7490}{1}",
["typ"] = "cislo" },
["tex"] = "-7490",
["x"] = -7490 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "13 - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "13 - (-7) + (-10)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{16}{3\\frac{1}{5}})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{16}{3\\frac{1}{5}})^4 \\cdot 12",
["typ"] = "krat" },
["render"] = "13 - (-7) + (-10) - (\\frac{16}{3\\frac{1}{5}})^4 \\cdot 12",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.73, bodu=182, $$4\frac{5}{13} \cdot (10 - 11 \cdot (2\frac{5}{9} - (2\frac{2}{4} + 2\frac{4}{8})^2))=\textcolor{white}{1126\frac{14}{39}}$$return {
["body"] = 182,
["id"] = "cIMGsu_0323_0312",
["obtiznost"] = 1.5404,
["reseni"] = {
["float"] = 1126.358974359,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43928,
["jmenovatel"] = 39 },
["render"] = "\\frac{131784}{117}",
["typ"] = "cislo" },
["tex"] = "1126\\frac{14}{39}",
["x"] = 1126,
["y"] = 14,
["z"] = 39 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 2\\frac{4}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{2}{4} + 2\\frac{4}{8})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{5}{9} - (2\\frac{2}{4} + 2\\frac{4}{8})^2",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{9} - (2\\frac{2}{4} + 2\\frac{4}{8})^2)",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (2\\frac{5}{9} - (2\\frac{2}{4} + 2\\frac{4}{8})^2)",
["typ"] = "krat" },
["render"] = "10 - 11 \\cdot (2\\frac{5}{9} - (2\\frac{2}{4} + 2\\frac{4}{8})^2)",
["typ"] = "minus" },
["render"] = "(10 - 11 \\cdot (2\\frac{5}{9} - (2\\frac{2}{4} + 2\\frac{4}{8})^2))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{13} \\cdot (10 - 11 \\cdot (2\\frac{5}{9} - (2\\frac{2}{4} + 2\\frac{4}{8})^2))",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.74, bodu=278, $$\frac{(\frac{3\frac{2}{6}}{9})^2 + 2\frac{3}{7}}{(1\frac{3}{7} + 3\frac{3}{6}) \cdot 4\frac{2}{4}}=\textcolor{white}{\frac{52372}{452709}}$$return {
["body"] = 278,
["id"] = "np6yWl_0323_0312",
["obtiznost"] = 2.0716,
["reseni"] = {
["float"] = 0.11568579374388,
["objekt"] = {
["hodnota"] = {
["citatel"] = 52372,
["jmenovatel"] = 452709 },
["render"] = "\\frac{366604}{3168963}",
["typ"] = "cislo" },
["tex"] = "\\frac{52372}{452709}",
["y"] = 52372,
["z"] = 452709 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6}}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{2}{6}}{9})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{3\\frac{2}{6}}{9})^2 + 2\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} + 3\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{7} + 3\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "(1\\frac{3}{7} + 3\\frac{3}{6}) \\cdot 4\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "\\frac{(\\frac{3\\frac{2}{6}}{9})^2 + 2\\frac{3}{7}}{(1\\frac{3}{7} + 3\\frac{3}{6}) \\cdot 4\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.75, bodu=151, $$4\frac{1}{11} + (3\frac{3}{8} - \frac{-11}{11 + 9}) \cdot 4\frac{5}{6}=\textcolor{white}{23\frac{163}{2640}}$$return {
["body"] = 151,
["id"] = "N1d78a_0323_0312",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 23.061742424242,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60883,
["jmenovatel"] = 2640 },
["render"] = "\\frac{60883}{2640}",
["typ"] = "cislo" },
["tex"] = "23\\frac{163}{2640}",
["x"] = 23,
["y"] = 163,
["z"] = 2640 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 11 },
["render"] = "4\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 + 9",
["typ"] = "plus" },
["render"] = "\\frac{-11}{11 + 9}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{8} - \\frac{-11}{11 + 9}",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} - \\frac{-11}{11 + 9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{8} - \\frac{-11}{11 + 9}) \\cdot 4\\frac{5}{6}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{11} + (3\\frac{3}{8} - \\frac{-11}{11 + 9}) \\cdot 4\\frac{5}{6}",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.76, bodu=94, $$\frac{-13}{-11} \cdot -21 - (1\frac{4}{7} - 13)=\textcolor{white}{-13\frac{30}{77}}$$return {
["body"] = 94,
["id"] = "21buFJ_0323_0312",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = -13.38961038961,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1031,
["jmenovatel"] = 77 },
["render"] = "\\frac{-1031}{77}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{30}{77}",
["x"] = -13,
["y"] = 30,
["z"] = 77 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-11} \\cdot -21",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{7} - 13",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{7} - 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{-13}{-11} \\cdot -21 - (1\\frac{4}{7} - 13)",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.77, bodu=154, $$2\frac{5}{7} + 18 - (\frac{-9 - 19}{2\frac{5}{11}} + (-8 + 3\frac{4}{8}))=\textcolor{white}{36\frac{235}{378}}$$return {
["body"] = 154,
["id"] = "G42Vc8_0323_0312",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 36.621693121693,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13843,
["jmenovatel"] = 378 },
["render"] = "\\frac{13843}{378}",
["typ"] = "cislo" },
["tex"] = "36\\frac{235}{378}",
["x"] = 36,
["y"] = 235,
["z"] = 378 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{7} + 18",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-9 - 19",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 - 19}{2\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-8 + 3\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "\\frac{-9 - 19}{2\\frac{5}{11}} + (-8 + 3\\frac{4}{8})",
["typ"] = "plus" },
["render"] = "(\\frac{-9 - 19}{2\\frac{5}{11}} + (-8 + 3\\frac{4}{8}))",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{7} + 18 - (\\frac{-9 - 19}{2\\frac{5}{11}} + (-8 + 3\\frac{4}{8}))",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.78, bodu=155, $$-15 \cdot (4\frac{4}{10} + 4\frac{1}{5} - (-10)) + \frac{1\frac{4}{10}}{11}=\textcolor{white}{-278\frac{48}{55}}$$return {
["body"] = 155,
["id"] = "TRsBIQ_0323_0312",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -278.87272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15338,
["jmenovatel"] = 55 },
["render"] = "\\frac{-15338}{55}",
["typ"] = "cislo" },
["tex"] = "-278\\frac{48}{55}",
["x"] = -278,
["y"] = 48,
["z"] = 55 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + 4\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + 4\\frac{1}{5} - (-10)",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{10} + 4\\frac{1}{5} - (-10))",
["typ"] = "zavorka" },
["render"] = "-15 \\cdot (4\\frac{4}{10} + 4\\frac{1}{5} - (-10))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10}}{11}",
["typ"] = "lomeno" },
["render"] = "-15 \\cdot (4\\frac{4}{10} + 4\\frac{1}{5} - (-10)) + \\frac{1\\frac{4}{10}}{11}",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.79, bodu=126, $$3\frac{1}{4} \cdot \frac{-10 \cdot -8}{-15 - 1\frac{5}{13}}=\textcolor{white}{-15\frac{185}{213}}$$return {
["body"] = 126,
["id"] = "vC0ykD_0323_0312",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -15.868544600939,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3380,
["jmenovatel"] = 213 },
["render"] = "\\frac{-13520}{852}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{185}{213}",
["x"] = -15,
["y"] = 185,
["z"] = 213 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["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"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-15 - 1\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "\\frac{-10 \\cdot -8}{-15 - 1\\frac{5}{13}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{4} \\cdot \\frac{-10 \\cdot -8}{-15 - 1\\frac{5}{13}}",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.8, bodu=192, $$\frac{\frac{1\frac{5}{12}}{3\frac{2}{4}}}{-6 - 2\frac{5}{10} \cdot (3\frac{1}{10} - (-14))}=\textcolor{white}{-\frac{34}{4095}}$$return {
["body"] = 192,
["id"] = "WcsHOx_0323_0312",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = -0.0083028083028083,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34,
["jmenovatel"] = 4095 },
["render"] = "\\frac{68}{-8190}",
["typ"] = "cislo" },
["tex"] = "-\\frac{34}{4095}",
["y"] = -34,
["z"] = 4095 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12}}{3\\frac{2}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{10} - (-14)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{10} - (-14))",
["typ"] = "zavorka" },
["render"] = "2\\frac{5}{10} \\cdot (3\\frac{1}{10} - (-14))",
["typ"] = "krat" },
["render"] = "-6 - 2\\frac{5}{10} \\cdot (3\\frac{1}{10} - (-14))",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{1\\frac{5}{12}}{3\\frac{2}{4}}}{-6 - 2\\frac{5}{10} \\cdot (3\\frac{1}{10} - (-14))}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.81, bodu=160, $$-12 \cdot (3\frac{2}{6} + (-18) - 4\frac{5}{13}) \cdot \frac{3\frac{5}{10}}{8}=\textcolor{white}{100\frac{1}{52}}$$return {
["body"] = 160,
["id"] = "9ypNAN_0323_0312",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 100.01923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5201,
["jmenovatel"] = 52 },
["render"] = "\\frac{62412}{624}",
["typ"] = "cislo" },
["tex"] = "100\\frac{1}{52}",
["x"] = 100,
["y"] = 1,
["z"] = 52 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + (-18)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + (-18) - 4\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{6} + (-18) - 4\\frac{5}{13})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{8}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{2}{6} + (-18) - 4\\frac{5}{13}) \\cdot \\frac{3\\frac{5}{10}}{8}",
["typ"] = "krat" },
["render"] = "-12 \\cdot (3\\frac{2}{6} + (-18) - 4\\frac{5}{13}) \\cdot \\frac{3\\frac{5}{10}}{8}",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.82, bodu=132, $$\frac{15}{16 \cdot ((15 + (-13))^4 + 3\frac{2}{5}) \cdot (2\frac{1}{8} + (-5))}=\textcolor{white}{-\frac{75}{4462}}$$return {
["body"] = 132,
["id"] = "DY5lK4_0323_0312",
["obtiznost"] = 1.2268,
["reseni"] = {
["float"] = -0.016808606006275,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 4462 },
["render"] = "\\frac{75}{-4462}",
["typ"] = "cislo" },
["tex"] = "-\\frac{75}{4462}",
["y"] = -75,
["z"] = 4462 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "15 + (-13)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(15 + (-13))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(15 + (-13))^4 + 3\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "((15 + (-13))^4 + 3\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "16 \\cdot ((15 + (-13))^4 + 3\\frac{2}{5})",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} + (-5)",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{8} + (-5))",
["typ"] = "zavorka" },
["render"] = "16 \\cdot ((15 + (-13))^4 + 3\\frac{2}{5}) \\cdot (2\\frac{1}{8} + (-5))",
["typ"] = "krat" },
["render"] = "\\frac{15}{16 \\cdot ((15 + (-13))^4 + 3\\frac{2}{5}) \\cdot (2\\frac{1}{8} + (-5))}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.83, bodu=128, $$(-16 + 12)^4 + (-11 - 1\frac{2}{2})^2 \cdot (-11 - 1\frac{1}{9} + (-20))=\textcolor{white}{-5170\frac{7}{9}}$$return {
["body"] = 128,
["id"] = "k4kZct_0323_0312",
["obtiznost"] = 1.2008,
["reseni"] = {
["float"] = -5170.7777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -46537,
["jmenovatel"] = 9 },
["render"] = "\\frac{-46537}{9}",
["typ"] = "cislo" },
["tex"] = "-5170\\frac{7}{9}",
["x"] = -5170,
["y"] = 7,
["z"] = 9 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.83",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-16 + 12",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-16 + 12)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "-11 - 1\\frac{2}{2}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - 1\\frac{2}{2})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "-11 - 1\\frac{1}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-11 - 1\\frac{1}{9} + (-20)",
["typ"] = "plus" },
["render"] = "(-11 - 1\\frac{1}{9} + (-20))",
["typ"] = "zavorka" },
["render"] = "(-11 - 1\\frac{2}{2})^2 \\cdot (-11 - 1\\frac{1}{9} + (-20))",
["typ"] = "krat" },
["render"] = "(-16 + 12)^4 + (-11 - 1\\frac{2}{2})^2 \\cdot (-11 - 1\\frac{1}{9} + (-20))",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.84, bodu=134, $$\frac{18 \cdot (4\frac{5}{11} - 2\frac{1}{8}) + (-17)}{\frac{-19}{10}}=\textcolor{white}{-13\frac{51}{418}}$$return {
["body"] = 134,
["id"] = "T56auu_0323_0312",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -13.122009569378,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5485,
["jmenovatel"] = 418 },
["render"] = "\\frac{10970}{-836}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{51}{418}",
["x"] = -13,
["y"] = 51,
["z"] = 418 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} - 2\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{11} - 2\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "18 \\cdot (4\\frac{5}{11} - 2\\frac{1}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "18 \\cdot (4\\frac{5}{11} - 2\\frac{1}{8}) + (-17)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{18 \\cdot (4\\frac{5}{11} - 2\\frac{1}{8}) + (-17)}{\\frac{-19}{10}}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.85, bodu=200, $$\frac{16 + 15}{\frac{1\frac{4}{10}}{1\frac{2}{6}} - \frac{4\frac{3}{6}}{2\frac{3}{7}}}=\textcolor{white}{-38\frac{166}{273}}$$return {
["body"] = 200,
["id"] = "y0hrmV_0323_0312",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -38.608058608059,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10540,
["jmenovatel"] = 273 },
["render"] = "\\frac{10540}{-273}",
["typ"] = "cislo" },
["tex"] = "-38\\frac{166}{273}",
["x"] = -38,
["y"] = 166,
["z"] = 273 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "16 + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10}}{1\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{6}}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{10}}{1\\frac{2}{6}} - \\frac{4\\frac{3}{6}}{2\\frac{3}{7}}",
["typ"] = "minus" },
["render"] = "\\frac{16 + 15}{\\frac{1\\frac{4}{10}}{1\\frac{2}{6}} - \\frac{4\\frac{3}{6}}{2\\frac{3}{7}}}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.86, bodu=202, $$\frac{\frac{-18}{3\frac{2}{7}}}{1\frac{2}{8} - 8} - 1\frac{4}{13} \cdot 3\frac{4}{7}=\textcolor{white}{-3\frac{5392}{6279}}$$return {
["body"] = 202,
["id"] = "WmxloH_0323_0312",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -3.8587354674311,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24229,
["jmenovatel"] = 6279 },
["render"] = "\\frac{-24229}{6279}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{5392}{6279}",
["x"] = -3,
["y"] = 5392,
["z"] = 6279 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - 8",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-18}{3\\frac{2}{7}}}{1\\frac{2}{8} - 8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{13} \\cdot 3\\frac{4}{7}",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-18}{3\\frac{2}{7}}}{1\\frac{2}{8} - 8} - 1\\frac{4}{13} \\cdot 3\\frac{4}{7}",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.87, bodu=139, $$-13 - 4 - ((-14 + 12)^3 - (\frac{1\frac{5}{8}}{4\frac{1}{5}} + 8))=\textcolor{white}{-\frac{103}{168}}$$return {
["body"] = 139,
["id"] = "P8XUPE_0323_0312",
["obtiznost"] = 1.2736,
["reseni"] = {
["float"] = -0.61309523809524,
["objekt"] = {
["hodnota"] = {
["citatel"] = -103,
["jmenovatel"] = 168 },
["render"] = "\\frac{-103}{168}",
["typ"] = "cislo" },
["tex"] = "-\\frac{103}{168}",
["y"] = -103,
["z"] = 168 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-13 - 4",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 + 12",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-14 + 12)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{4\\frac{1}{5}} + 8",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{5}{8}}{4\\frac{1}{5}} + 8)",
["typ"] = "zavorka" },
["render"] = "(-14 + 12)^3 - (\\frac{1\\frac{5}{8}}{4\\frac{1}{5}} + 8)",
["typ"] = "minus" },
["render"] = "((-14 + 12)^3 - (\\frac{1\\frac{5}{8}}{4\\frac{1}{5}} + 8))",
["typ"] = "zavorka" },
["render"] = "-13 - 4 - ((-14 + 12)^3 - (\\frac{1\\frac{5}{8}}{4\\frac{1}{5}} + 8))",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.88, bodu=173, $$(-10 + 14)^2 - 2\frac{1}{8} - \frac{-18 \cdot 2\frac{2}{8}}{3\frac{3}{6}}=\textcolor{white}{25\frac{25}{56}}$$return {
["body"] = 173,
["id"] = "2CuPtY_0323_0312",
["obtiznost"] = 1.4868,
["reseni"] = {
["float"] = 25.446428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1425,
["jmenovatel"] = 56 },
["render"] = "\\frac{1425}{56}",
["typ"] = "cislo" },
["tex"] = "25\\frac{25}{56}",
["x"] = 25,
["y"] = 25,
["z"] = 56 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-10 + 14",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "(-10 + 14)^2 - 2\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 2\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-18 \\cdot 2\\frac{2}{8}}{3\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "(-10 + 14)^2 - 2\\frac{1}{8} - \\frac{-18 \\cdot 2\\frac{2}{8}}{3\\frac{3}{6}}",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.89, bodu=243, $$(2\frac{4}{10} + 1\frac{1}{9}) \cdot 3\frac{5}{9} \cdot 1\frac{2}{6} \cdot (-19 - 1\frac{4}{7})=\textcolor{white}{-342\frac{394}{945}}$$return {
["body"] = 243,
["id"] = "LwkTFO_0323_0312",
["obtiznost"] = 1.89,
["reseni"] = {
["float"] = -342.41693121693,
["objekt"] = {
["hodnota"] = {
["citatel"] = -323584,
["jmenovatel"] = 945 },
["render"] = "\\frac{-2912256}{8505}",
["typ"] = "cislo" },
["tex"] = "-342\\frac{394}{945}",
["x"] = -342,
["y"] = 394,
["z"] = 945 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} + 1\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{10} + 1\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{9} \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "(2\\frac{4}{10} + 1\\frac{1}{9}) \\cdot 3\\frac{5}{9} \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "-19 - 1\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(-19 - 1\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{4}{10} + 1\\frac{1}{9}) \\cdot 3\\frac{5}{9} \\cdot 1\\frac{2}{6} \\cdot (-19 - 1\\frac{4}{7})",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.9, bodu=175, $$4\frac{5}{12} \cdot (20 + 19 \cdot -9) + (-18) - (3\frac{4}{11} - 2\frac{2}{8})=\textcolor{white}{-686\frac{1}{33}}$$return {
["body"] = 175,
["id"] = "lzNnmP_0323_0312",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -686.0303030303,
["objekt"] = {
["hodnota"] = {
["citatel"] = -22639,
["jmenovatel"] = 33 },
["render"] = "\\frac{-362224}{528}",
["typ"] = "cislo" },
["tex"] = "-686\\frac{1}{33}",
["x"] = -686,
["y"] = 1,
["z"] = 33 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "19 \\cdot -9",
["typ"] = "krat" },
["render"] = "20 + 19 \\cdot -9",
["typ"] = "plus" },
["render"] = "(20 + 19 \\cdot -9)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{12} \\cdot (20 + 19 \\cdot -9)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} \\cdot (20 + 19 \\cdot -9) + (-18)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{11} - 2\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(3\\frac{4}{11} - 2\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{12} \\cdot (20 + 19 \\cdot -9) + (-18) - (3\\frac{4}{11} - 2\\frac{2}{8})",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.91, bodu=144, $$10 + \frac{\frac{-13 \cdot 4\frac{3}{13}}{9}}{-21 + 4\frac{3}{10}}=\textcolor{white}{10\frac{550}{1503}}$$return {
["body"] = 144,
["id"] = "QkEFeK_0323_0312",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = 10.365934797073,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15580,
["jmenovatel"] = 1503 },
["render"] = "\\frac{15580}{1503}",
["typ"] = "cislo" },
["tex"] = "10\\frac{550}{1503}",
["x"] = 10,
["y"] = 550,
["z"] = 1503 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 4\\frac{3}{13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-13 \\cdot 4\\frac{3}{13}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-21 + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-13 \\cdot 4\\frac{3}{13}}{9}}{-21 + 4\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{\\frac{-13 \\cdot 4\\frac{3}{13}}{9}}{-21 + 4\\frac{3}{10}}",
["typ"] = "plus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.92, bodu=213, $$\frac{3\frac{2}{11} \cdot 1\frac{3}{7} \cdot \frac{18}{3\frac{1}{7}}}{17 - 1\frac{1}{10}}=\textcolor{white}{1\frac{4087}{6413}}$$return {
["body"] = 213,
["id"] = "BfR7NM_0323_0312",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = 1.637299235927,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10500,
["jmenovatel"] = 6413 },
["render"] = "\\frac{31500}{19239}",
["typ"] = "cislo" },
["tex"] = "1\\frac{4087}{6413}",
["x"] = 1,
["y"] = 4087,
["z"] = 6413 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{3\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{7} \\cdot \\frac{18}{3\\frac{1}{7}}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{11} \\cdot 1\\frac{3}{7} \\cdot \\frac{18}{3\\frac{1}{7}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "17 - 1\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{2}{11} \\cdot 1\\frac{3}{7} \\cdot \\frac{18}{3\\frac{1}{7}}}{17 - 1\\frac{1}{10}}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.93, bodu=243, $$(1\frac{3}{9} - 3\frac{2}{8} + 4\frac{4}{9} - 1\frac{5}{12}) \cdot (8 + (-15 - 5)^2)=\textcolor{white}{453\frac{1}{3}}$$return {
["body"] = 243,
["id"] = "JcJc4a_0323_0312",
["obtiznost"] = 1.8904,
["reseni"] = {
["float"] = 453.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1360,
["jmenovatel"] = 3 },
["render"] = "\\frac{4080}{9}",
["typ"] = "cislo" },
["tex"] = "453\\frac{1}{3}",
["x"] = 453,
["y"] = 1,
["z"] = 3 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.93",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 3\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 3\\frac{2}{8} + 4\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - 3\\frac{2}{8} + 4\\frac{4}{9} - 1\\frac{5}{12}",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{9} - 3\\frac{2}{8} + 4\\frac{4}{9} - 1\\frac{5}{12})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-15 - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - 5)^2",
["typ"] = "mocnina" },
["render"] = "8 + (-15 - 5)^2",
["typ"] = "plus" },
["render"] = "(8 + (-15 - 5)^2)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{3}{9} - 3\\frac{2}{8} + 4\\frac{4}{9} - 1\\frac{5}{12}) \\cdot (8 + (-15 - 5)^2)",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.94, bodu=151, $$\frac{1\frac{1}{10}}{(-4 - (14 - 11)^3) \cdot (12 - 3\frac{4}{8})}=\textcolor{white}{-\frac{11}{2635}}$$return {
["body"] = 151,
["id"] = "4e4dxj_0323_0312",
["obtiznost"] = 1.3512,
["reseni"] = {
["float"] = -0.0041745730550285,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 2635 },
["render"] = "\\frac{22}{-5270}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{2635}",
["y"] = -11,
["z"] = 2635 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 - 11",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(14 - 11)^3",
["typ"] = "mocnina" },
["render"] = "-4 - (14 - 11)^3",
["typ"] = "minus" },
["render"] = "(-4 - (14 - 11)^3)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(12 - 3\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "(-4 - (14 - 11)^3) \\cdot (12 - 3\\frac{4}{8})",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{10}}{(-4 - (14 - 11)^3) \\cdot (12 - 3\\frac{4}{8})}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.95, bodu=183, $$-20 \cdot \frac{2\frac{4}{12} \cdot -5}{1\frac{3}{10} - \frac{-12}{4\frac{5}{12}}}=\textcolor{white}{58\frac{554}{6387}}$$return {
["body"] = 183,
["id"] = "25vbcD_0323_0312",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = 58.08673868796,
["objekt"] = {
["hodnota"] = {
["citatel"] = 371000,
["jmenovatel"] = 6387 },
["render"] = "\\frac{371000}{6387}",
["typ"] = "cislo" },
["tex"] = "58\\frac{554}{6387}",
["x"] = 58,
["y"] = 554,
["z"] = 6387 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{12} \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{4\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{3}{10} - \\frac{-12}{4\\frac{5}{12}}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{12} \\cdot -5}{1\\frac{3}{10} - \\frac{-12}{4\\frac{5}{12}}}",
["typ"] = "lomeno" },
["render"] = "-20 \\cdot \\frac{2\\frac{4}{12} \\cdot -5}{1\\frac{3}{10} - \\frac{-12}{4\\frac{5}{12}}}",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.96, bodu=185, $$\frac{-15 \cdot 23}{\frac{-12}{2\frac{2}{10}} \cdot (4\frac{2}{8} - 4\frac{4}{8})}=\textcolor{white}{-253}$$return {
["body"] = 185,
["id"] = "ASc1Wb_0323_0312",
["obtiznost"] = 1.56,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -253,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3795}{15}",
["typ"] = "cislo" },
["tex"] = "-253",
["tex_float"] = "-253",
["x"] = -253 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 23",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{2}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} - 4\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{8} - 4\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{-12}{2\\frac{2}{10}} \\cdot (4\\frac{2}{8} - 4\\frac{4}{8})",
["typ"] = "krat" },
["render"] = "\\frac{-15 \\cdot 23}{\\frac{-12}{2\\frac{2}{10}} \\cdot (4\\frac{2}{8} - 4\\frac{4}{8})}",
["typ"] = "lomeno" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.97, bodu=187, $$-3 \cdot 1\frac{2}{8} \cdot (17 - 2\frac{4}{10} - 3\frac{2}{9}) \cdot 11=\textcolor{white}{-469\frac{1}{3}}$$return {
["body"] = 187,
["id"] = "KSknP5_0323_0312",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -469.33333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1408,
["jmenovatel"] = 3 },
["render"] = "\\frac{-84480}{180}",
["typ"] = "cislo" },
["tex"] = "-469\\frac{1}{3}",
["x"] = -469,
["y"] = 1,
["z"] = 3 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 1\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "17 - 2\\frac{4}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "17 - 2\\frac{4}{10} - 3\\frac{2}{9}",
["typ"] = "minus" },
["render"] = "(17 - 2\\frac{4}{10} - 3\\frac{2}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(17 - 2\\frac{4}{10} - 3\\frac{2}{9}) \\cdot 11",
["typ"] = "krat" },
["render"] = "-3 \\cdot 1\\frac{2}{8} \\cdot (17 - 2\\frac{4}{10} - 3\\frac{2}{9}) \\cdot 11",
["typ"] = "krat" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.98, bodu=188, $$\frac{1\frac{1}{7}}{15} - (2\frac{1}{9} + 1\frac{2}{7} + 18 + 17 \cdot 19)=\textcolor{white}{-344\frac{101}{315}}$$return {
["body"] = 188,
["id"] = "1ntizw_0323_0312",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -344.32063492063,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108461,
["jmenovatel"] = 315 },
["render"] = "\\frac{-2277681}{6615}",
["typ"] = "cislo" },
["tex"] = "-344\\frac{101}{315}",
["x"] = -344,
["y"] = 101,
["z"] = 315 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} + 1\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} + 1\\frac{2}{7} + 18",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "17 \\cdot 19",
["typ"] = "krat" },
["render"] = "2\\frac{1}{9} + 1\\frac{2}{7} + 18 + 17 \\cdot 19",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{9} + 1\\frac{2}{7} + 18 + 17 \\cdot 19)",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{1}{7}}{15} - (2\\frac{1}{9} + 1\\frac{2}{7} + 18 + 17 \\cdot 19)",
["typ"] = "minus" } }
seed: gjFxjnJ9SYnw6QiqP4GT_0.99, bodu=172, $$3\frac{4}{12} \cdot (8 + 7)^2 - \frac{\frac{2\frac{3}{6}}{-16}}{4}=\textcolor{white}{750\frac{5}{128}}$$return {
["body"] = 172,
["id"] = "eXLXNw_0323_0312",
["obtiznost"] = 1.4804,
["reseni"] = {
["float"] = 750.0390625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 96005,
["jmenovatel"] = 128 },
["render"] = "\\frac{96005}{128}",
["typ"] = "cislo" },
["tex"] = "750\\frac{5}{128}",
["x"] = 750,
["y"] = 5,
["z"] = 128 },
["seed"] = "gjFxjnJ9SYnw6QiqP4GT_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["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"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 7)^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{4}{12} \\cdot (8 + 7)^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{6}}{-16}}{4}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{12} \\cdot (8 + 7)^2 - \\frac{\\frac{2\\frac{3}{6}}{-16}}{4}",
["typ"] = "minus" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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5ba.gif: 
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Toothless_ecstatic_claps.gif: 
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