- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: SeeYLwP2aBqsSgk5wjdU_0, bodu=5, $$(3 - 5)^2 + 8 \cdot -7=\textcolor{white}{-52}$$return {
["body"] = 5,
["id"] = "cV8w5u_0728_0251",
["obtiznost"] = 0.002,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -52,
["jmenovatel"] = 1 },
["render"] = "\\frac{-52}{1}",
["typ"] = "cislo" },
["tex"] = "-52",
["tex_float"] = "-52",
["x"] = -52 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 - 5",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3 - 5)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "8 \\cdot -7",
["typ"] = "krat" },
["render"] = "(3 - 5)^2 + 8 \\cdot -7",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.01, bodu=10, $$\frac{4}{9 \cdot 6}=\textcolor{white}{\frac{2}{27}}$$return {
["body"] = 10,
["id"] = "CCEV5w_0728_0251",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 0.074074074074074,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 27 },
["render"] = "\\frac{4}{54}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{27}",
["y"] = 2,
["z"] = 27 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{4}{9 \\cdot 6}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.02, bodu=21, $$(\frac{-8}{5} \cdot 3)^2=\textcolor{white}{23{,}04}$$return {
["body"] = 21,
["id"] = "2x2uzR_0728_0251",
["obtiznost"] = 0.2604,
["reseni"] = {
["float"] = 23.04,
["objekt"] = {
["hodnota"] = {
["citatel"] = 576,
["jmenovatel"] = 25 },
["render"] = "\\frac{576}{25}",
["typ"] = "cislo" },
["tex"] = "23\\frac{1}{25}",
["tex_float"] = "23{,}04",
["x"] = 23,
["y"] = 1,
["z"] = 25 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.02",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{5}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{5} \\cdot 3",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(\\frac{-8}{5} \\cdot 3)^2",
["typ"] = "mocnina" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.03, bodu=19, $$4\frac{3}{6} \cdot (4 - 7 + (-8))=\textcolor{white}{-49{,}5}$$return {
["body"] = 19,
["id"] = "1wxSKs_0728_0251",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = -49.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 2 },
["render"] = "\\frac{-99}{2}",
["typ"] = "cislo" },
["tex"] = "-49\\frac{1}{2}",
["tex_float"] = "-49{,}5",
["x"] = -49,
["y"] = 1,
["z"] = 2 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "4 - 7 + (-8)",
["typ"] = "plus" },
["render"] = "(4 - 7 + (-8))",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{6} \\cdot (4 - 7 + (-8))",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.04, bodu=10, $$\frac{8 \cdot 5 + (-4)}{-6}=\textcolor{white}{-6}$$return {
["body"] = 10,
["id"] = "h4IhhU_0728_0251",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "\\frac{36}{-6}",
["typ"] = "cislo" },
["tex"] = "-6",
["x"] = -6 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5 + (-4)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 5 + (-4)}{-6}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.05, bodu=5, $$7 + 7 + 8 \cdot 7=\textcolor{white}{70}$$return {
["body"] = 5,
["id"] = "AwKqwg_0728_0251",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 1 },
["render"] = "\\frac{70}{1}",
["typ"] = "cislo" },
["tex"] = "70",
["x"] = 70 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 \\cdot 7",
["typ"] = "krat" },
["render"] = "7 + 7 + 8 \\cdot 7",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.06, bodu=5, $$5 - (6 - (-4)) \cdot 5=\textcolor{white}{-45}$$return {
["body"] = 5,
["id"] = "rb4ldN_0728_0251",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -45,
["jmenovatel"] = 1 },
["render"] = "\\frac{-45}{1}",
["typ"] = "cislo" },
["tex"] = "-45",
["x"] = -45 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "6 - (-4)",
["typ"] = "minus" },
["render"] = "(6 - (-4))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(6 - (-4)) \\cdot 5",
["typ"] = "krat" },
["render"] = "5 - (6 - (-4)) \\cdot 5",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.07, bodu=16, $$\frac{(\frac{8 + 7}{4})^2}{10}=\textcolor{white}{1\frac{13}{32}}$$return {
["body"] = 16,
["id"] = "LUP3cf_0728_0251",
["obtiznost"] = 0.1664,
["reseni"] = {
["float"] = 1.40625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 32 },
["render"] = "\\frac{225}{160}",
["typ"] = "cislo" },
["tex"] = "1\\frac{13}{32}",
["x"] = 1,
["y"] = 13,
["z"] = 32 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.07",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 7}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8 + 7}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{8 + 7}{4})^2}{10}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.08, bodu=6, $$6 - (-9) - (7 - 11)=\textcolor{white}{19}$$return {
["body"] = 6,
["id"] = "BkF3CP_0728_0251",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "\\frac{19}{1}",
["typ"] = "cislo" },
["tex"] = "19",
["x"] = 19 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.08",
["zadani"] = {
["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"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["render"] = "(7 - 11)",
["typ"] = "zavorka" },
["render"] = "6 - (-9) - (7 - 11)",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.09, bodu=6, $$5 + 8 \cdot 10 - 10=\textcolor{white}{75}$$return {
["body"] = 6,
["id"] = "xZxGBY_0728_0251",
["obtiznost"] = 0.09,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 1 },
["render"] = "\\frac{75}{1}",
["typ"] = "cislo" },
["tex"] = "75",
["x"] = 75 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["render"] = "5 + 8 \\cdot 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 + 8 \\cdot 10 - 10",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.1, bodu=6, $$9 - (7 + 4 \cdot 9)=\textcolor{white}{-34}$$return {
["body"] = 6,
["id"] = "29u59W_0728_0251",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -34,
["jmenovatel"] = 1 },
["render"] = "\\frac{-34}{1}",
["typ"] = "cislo" },
["tex"] = "-34",
["tex_float"] = "-34",
["x"] = -34 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 \\cdot 9",
["typ"] = "krat" },
["render"] = "7 + 4 \\cdot 9",
["typ"] = "plus" },
["render"] = "(7 + 4 \\cdot 9)",
["typ"] = "zavorka" },
["render"] = "9 - (7 + 4 \\cdot 9)",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.11, bodu=6, $$7 \cdot 8 + 7 - 11=\textcolor{white}{52}$$return {
["body"] = 6,
["id"] = "ZY1lbS_0728_0251",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 52,
["jmenovatel"] = 1 },
["render"] = "\\frac{52}{1}",
["typ"] = "cislo" },
["tex"] = "52",
["x"] = 52 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 - 11",
["typ"] = "minus" },
["render"] = "7 \\cdot 8 + 7 - 11",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.12, bodu=16, $$\frac{(\frac{7}{(-5 + 8)^2})^2}{10}=\textcolor{white}{\frac{49}{810}}$$return {
["body"] = 16,
["id"] = "qw9B6Y_0728_0251",
["obtiznost"] = 0.176,
["reseni"] = {
["float"] = 0.060493827160494,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 810 },
["render"] = "\\frac{49}{810}",
["typ"] = "cislo" },
["tex"] = "\\frac{49}{810}",
["y"] = 49,
["z"] = 810 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.12",
["zadani"] = {
["c1"] = {
["c"] = {
["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"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(-5 + 8)^2}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{7}{(-5 + 8)^2})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{7}{(-5 + 8)^2})^2}{10}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.13, bodu=27, $$(9 + 2\frac{3}{6}) \cdot 5 - 8=\textcolor{white}{49{,}5}$$return {
["body"] = 27,
["id"] = "KjWm2W_0728_0251",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = 49.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 2 },
["render"] = "\\frac{99}{2}",
["typ"] = "cislo" },
["tex"] = "49\\frac{1}{2}",
["tex_float"] = "49{,}5",
["x"] = 49,
["y"] = 1,
["z"] = 2 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{3}{6}",
["typ"] = "plus" },
["render"] = "(9 + 2\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(9 + 2\\frac{3}{6}) \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(9 + 2\\frac{3}{6}) \\cdot 5 - 8",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.14, bodu=14, $$-7 \cdot \frac{5}{11}=\textcolor{white}{-3\frac{2}{11}}$$return {
["body"] = 14,
["id"] = "SkYDtF_0728_0251",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -3.1818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 11 },
["render"] = "\\frac{-35}{11}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{2}{11}",
["x"] = -3,
["y"] = 2,
["z"] = 11 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{5}{11}",
["typ"] = "lomeno" },
["render"] = "-7 \\cdot \\frac{5}{11}",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.15, bodu=15, $$\frac{9 \cdot 8}{9}=\textcolor{white}{8}$$return {
["body"] = 15,
["id"] = "lJUlSb_0728_0251",
["obtiznost"] = 0.15,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{9}",
["typ"] = "cislo" },
["tex"] = "8",
["x"] = 8 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 8}{9}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.16, bodu=15, $$\frac{-10}{8 + 6 + 6}=\textcolor{white}{-0{,}5}$$return {
["body"] = 15,
["id"] = "nv1jvk_0728_0251",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = -0.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 2 },
["render"] = "\\frac{-10}{20}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{2}",
["tex_float"] = "-0{,}5",
["y"] = -1,
["z"] = 2 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 + 6 + 6",
["typ"] = "plus" },
["render"] = "\\frac{-10}{8 + 6 + 6}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.17, bodu=8, $$(5 + 9) \cdot (-8 + (-5))=\textcolor{white}{-182}$$return {
["body"] = 8,
["id"] = "FeXxqg_0728_0251",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -182,
["jmenovatel"] = 1 },
["render"] = "\\frac{-182}{1}",
["typ"] = "cislo" },
["tex"] = "-182",
["x"] = -182 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.17",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 + 9",
["typ"] = "plus" },
["render"] = "(5 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-8 + (-5)",
["typ"] = "plus" },
["render"] = "(-8 + (-5))",
["typ"] = "zavorka" },
["render"] = "(5 + 9) \\cdot (-8 + (-5))",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.18, bodu=9, $$(9 - (9 - 6 - (-9)))^4=\textcolor{white}{81}$$return {
["body"] = 9,
["id"] = "WtO4kr_0728_0251",
["obtiznost"] = 0.2128,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1 },
["render"] = "\\frac{81}{1}",
["typ"] = "cislo" },
["tex"] = "81",
["x"] = 81 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.18",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 - 6 - (-9)",
["typ"] = "minus" },
["render"] = "(9 - 6 - (-9))",
["typ"] = "zavorka" },
["render"] = "9 - (9 - 6 - (-9))",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - (9 - 6 - (-9)))^4",
["typ"] = "mocnina" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.19, bodu=31, $$\frac{2\frac{1}{3} - 8}{-8 - 6}=\textcolor{white}{\frac{17}{42}}$$return {
["body"] = 31,
["id"] = "La6uGQ_0728_0251",
["obtiznost"] = 0.39,
["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"] = "SeeYLwP2aBqsSgk5wjdU_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{3} - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 - 6",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{1}{3} - 8}{-8 - 6}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.2, bodu=18, $$\frac{-8 \cdot 8 + 3}{11}=\textcolor{white}{-5\frac{6}{11}}$$return {
["body"] = 18,
["id"] = "33eq1A_0728_0251",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = -5.5454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -61,
["jmenovatel"] = 11 },
["render"] = "\\frac{-61}{11}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{6}{11}",
["x"] = -5,
["y"] = 6,
["z"] = 11 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.2",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 8 + 3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-8 \\cdot 8 + 3}{11}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.21, bodu=46, $$12 + 8 - 3\frac{5}{8} - (-3 + (-7) + 3)^3=\textcolor{white}{359{,}375}$$return {
["body"] = 46,
["id"] = "UeRzYB_0728_0251",
["obtiznost"] = 0.5476,
["reseni"] = {
["float"] = 359.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2875,
["jmenovatel"] = 8 },
["render"] = "\\frac{2875}{8}",
["typ"] = "cislo" },
["tex"] = "359\\frac{3}{8}",
["tex_float"] = "359{,}375",
["x"] = 359,
["y"] = 3,
["z"] = 8 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "8 - 3\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "12 + 8 - 3\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-3 + (-7)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-3 + (-7) + 3",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-3 + (-7) + 3)^3",
["typ"] = "mocnina" },
["render"] = "12 + 8 - 3\\frac{5}{8} - (-3 + (-7) + 3)^3",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.22, bodu=19, $$\frac{-10 + 8 - 13 - 8}{-4}=\textcolor{white}{5{,}75}$$return {
["body"] = 19,
["id"] = "6Txa4Y_0728_0251",
["obtiznost"] = 0.22,
["reseni"] = {
["float"] = 5.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 4 },
["render"] = "\\frac{-23}{-4}",
["typ"] = "cislo" },
["tex"] = "5\\frac{3}{4}",
["tex_float"] = "5{,}75",
["x"] = 5,
["y"] = 3,
["z"] = 4 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-10 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-10 + 8 - 13",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-10 + 8 - 13 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-10 + 8 - 13 - 8}{-4}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.23, bodu=19, $$\frac{4}{10} \cdot (6 - (9 + 2\frac{2}{2}))=\textcolor{white}{-2{,}4}$$return {
["body"] = 19,
["id"] = "ZJx0z1_0728_0251",
["obtiznost"] = 0.23,
["reseni"] = {
["float"] = -2.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 5 },
["render"] = "\\frac{-12}{5}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{2}{5}",
["tex_float"] = "-2{,}4",
["x"] = -2,
["y"] = 2,
["z"] = 5 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4}{10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "9 + 2\\frac{2}{2}",
["typ"] = "plus" },
["render"] = "(9 + 2\\frac{2}{2})",
["typ"] = "zavorka" },
["render"] = "6 - (9 + 2\\frac{2}{2})",
["typ"] = "minus" },
["render"] = "(6 - (9 + 2\\frac{2}{2}))",
["typ"] = "zavorka" },
["render"] = "\\frac{4}{10} \\cdot (6 - (9 + 2\\frac{2}{2}))",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.24, bodu=20, $$-9 - 7 - \frac{9}{10}=\textcolor{white}{-16{,}9}$$return {
["body"] = 20,
["id"] = "Bs5w4M_0728_0251",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -16.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -169,
["jmenovatel"] = 10 },
["render"] = "\\frac{-169}{10}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{9}{10}",
["tex_float"] = "-16{,}9",
["x"] = -16,
["y"] = 9,
["z"] = 10 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-9 - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["render"] = "-9 - 7 - \\frac{9}{10}",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.25, bodu=37, $$\frac{-11}{1\frac{4}{7}} + 5 \cdot 4=\textcolor{white}{13}$$return {
["body"] = 37,
["id"] = "ejB8Ut_0728_0251",
["obtiznost"] = 0.45,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "\\frac{13}{1}",
["typ"] = "cislo" },
["tex"] = "13",
["tex_float"] = "13",
["x"] = 13 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{1\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{-11}{1\\frac{4}{7}} + 5 \\cdot 4",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.26, bodu=10, $$(8 + (-4)) \cdot 8 \cdot (5 + 6)=\textcolor{white}{352}$$return {
["body"] = 10,
["id"] = "uGLBVC_0728_0251",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 352,
["jmenovatel"] = 1 },
["render"] = "\\frac{352}{1}",
["typ"] = "cislo" },
["tex"] = "352",
["x"] = 352 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.26",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 + (-4)",
["typ"] = "plus" },
["render"] = "(8 + (-4))",
["typ"] = "zavorka" },
["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"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "5 + 6",
["typ"] = "plus" },
["render"] = "(5 + 6)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (5 + 6)",
["typ"] = "krat" },
["render"] = "(8 + (-4)) \\cdot 8 \\cdot (5 + 6)",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.27, bodu=22, $$\frac{9}{\frac{14 \cdot 5}{-4}}=\textcolor{white}{-\frac{18}{35}}$$return {
["body"] = 22,
["id"] = "zs556P_0728_0251",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -0.51428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 35 },
["render"] = "\\frac{18}{-35}",
["typ"] = "cislo" },
["tex"] = "-\\frac{18}{35}",
["y"] = -18,
["z"] = 35 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.27",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "14 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{14 \\cdot 5}{-4}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{\\frac{14 \\cdot 5}{-4}}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.28, bodu=11, $$10 \cdot 4 \cdot 7 + 11=\textcolor{white}{291}$$return {
["body"] = 11,
["id"] = "RsZBHx_0728_0251",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 291,
["jmenovatel"] = 1 },
["render"] = "\\frac{291}{1}",
["typ"] = "cislo" },
["tex"] = "291",
["tex_float"] = "291",
["x"] = 291 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["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"] = "10 \\cdot 4 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot 4 \\cdot 7 + 11",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.29, bodu=40, $$7 - \frac{-5}{-5 - 3\frac{3}{5}}=\textcolor{white}{6\frac{18}{43}}$$return {
["body"] = 40,
["id"] = "GE3zs4_0728_0251",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 6.4186046511628,
["objekt"] = {
["hodnota"] = {
["citatel"] = 276,
["jmenovatel"] = 43 },
["render"] = "\\frac{276}{43}",
["typ"] = "cislo" },
["tex"] = "6\\frac{18}{43}",
["x"] = 6,
["y"] = 18,
["z"] = 43 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "-5 - 3\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{-5}{-5 - 3\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "7 - \\frac{-5}{-5 - 3\\frac{3}{5}}",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.3, bodu=62, $$-9 \cdot (1\frac{5}{8} - (-9)) \cdot 2\frac{5}{9}=\textcolor{white}{-244{,}375}$$return {
["body"] = 62,
["id"] = "FtR1hP_0728_0251",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -244.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1955,
["jmenovatel"] = 8 },
["render"] = "\\frac{-17595}{72}",
["typ"] = "cislo" },
["tex"] = "-244\\frac{3}{8}",
["tex_float"] = "-244{,}375",
["x"] = -244,
["y"] = 3,
["z"] = 8 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - (-9)",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{8} - (-9))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (1\\frac{5}{8} - (-9))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot (1\\frac{5}{8} - (-9)) \\cdot 2\\frac{5}{9}",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.31, bodu=42, $$\frac{2\frac{3}{9} \cdot 7 \cdot 9}{3}=\textcolor{white}{49}$$return {
["body"] = 42,
["id"] = "piO1eQ_0728_0251",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 1 },
["render"] = "\\frac{147}{3}",
["typ"] = "cislo" },
["tex"] = "49",
["tex_float"] = "49",
["x"] = 49 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot 7 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9} \\cdot 7 \\cdot 9}{3}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.32, bodu=26, $$\frac{7 \cdot 12}{8} \cdot 11=\textcolor{white}{115{,}5}$$return {
["body"] = 26,
["id"] = "DTI6VC_0728_0251",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 115.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 231,
["jmenovatel"] = 2 },
["render"] = "\\frac{231}{2}",
["typ"] = "cislo" },
["tex"] = "115\\frac{1}{2}",
["tex_float"] = "115{,}5",
["x"] = 115,
["y"] = 1,
["z"] = 2 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 12}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{7 \\cdot 12}{8} \\cdot 11",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.33, bodu=44, $$-6 \cdot 1\frac{1}{3} \cdot 10 \cdot 14=\textcolor{white}{-1120}$$return {
["body"] = 44,
["id"] = "kHyhmd_0728_0251",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1120,
["jmenovatel"] = 1 },
["render"] = "\\frac{-3360}{3}",
["typ"] = "cislo" },
["tex"] = "-1120",
["x"] = -1120 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "10 \\cdot 14",
["typ"] = "krat" },
["render"] = "1\\frac{1}{3} \\cdot 10 \\cdot 14",
["typ"] = "krat" },
["render"] = "-6 \\cdot 1\\frac{1}{3} \\cdot 10 \\cdot 14",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.34, bodu=67, $$7 \cdot 2\frac{2}{7} + 5 \cdot 3\frac{5}{8}=\textcolor{white}{34{,}125}$$return {
["body"] = 67,
["id"] = "GikOzz_0728_0251",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 34.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 273,
["jmenovatel"] = 8 },
["render"] = "\\frac{273}{8}",
["typ"] = "cislo" },
["tex"] = "34\\frac{1}{8}",
["tex_float"] = "34{,}125",
["x"] = 34,
["y"] = 1,
["z"] = 8 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 2\\frac{2}{7}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 3\\frac{5}{8}",
["typ"] = "krat" },
["render"] = "7 \\cdot 2\\frac{2}{7} + 5 \\cdot 3\\frac{5}{8}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.35, bodu=68, $$(13 - 2\frac{1}{6}) \cdot (9 - 3\frac{1}{3})=\textcolor{white}{61\frac{7}{18}}$$return {
["body"] = 68,
["id"] = "OJhgzg_0728_0251",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 61.388888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1105,
["jmenovatel"] = 18 },
["render"] = "\\frac{1105}{18}",
["typ"] = "cislo" },
["tex"] = "61\\frac{7}{18}",
["x"] = 61,
["y"] = 7,
["z"] = 18 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.35",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "13 - 2\\frac{1}{6}",
["typ"] = "minus" },
["render"] = "(13 - 2\\frac{1}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "9 - 3\\frac{1}{3}",
["typ"] = "minus" },
["render"] = "(9 - 3\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "(13 - 2\\frac{1}{6}) \\cdot (9 - 3\\frac{1}{3})",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.36, bodu=69, $$13 + (-11) - \frac{2\frac{3}{5}}{-7 - 1\frac{5}{10}}=\textcolor{white}{2\frac{26}{85}}$$return {
["body"] = 69,
["id"] = "Fswwwx_0728_0251",
["obtiznost"] = 0.76,
["reseni"] = {
["float"] = 2.3058823529412,
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 85 },
["render"] = "\\frac{196}{85}",
["typ"] = "cislo" },
["tex"] = "2\\frac{26}{85}",
["x"] = 2,
["y"] = 26,
["z"] = 85 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "13 + (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-7 - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{5}}{-7 - 1\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "13 + (-11) - \\frac{2\\frac{3}{5}}{-7 - 1\\frac{5}{10}}",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.37, bodu=30, $$12 \cdot \frac{12}{11 + 10}=\textcolor{white}{6\frac{6}{7}}$$return {
["body"] = 30,
["id"] = "CFb0jo_0728_0251",
["obtiznost"] = 0.37,
["reseni"] = {
["float"] = 6.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 7 },
["render"] = "\\frac{48}{7}",
["typ"] = "cislo" },
["tex"] = "6\\frac{6}{7}",
["x"] = 6,
["y"] = 6,
["z"] = 7 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 10",
["typ"] = "plus" },
["render"] = "\\frac{12}{11 + 10}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{12}{11 + 10}",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.38, bodu=71, $$\frac{7 + 10}{1\frac{4}{5} + 3\frac{1}{7}} \cdot 8=\textcolor{white}{27\frac{89}{173}}$$return {
["body"] = 71,
["id"] = "AD9eME_0728_0251",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = 27.514450867052,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4760,
["jmenovatel"] = 173 },
["render"] = "\\frac{4760}{173}",
["typ"] = "cislo" },
["tex"] = "27\\frac{89}{173}",
["x"] = 27,
["y"] = 89,
["z"] = 173 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{5} + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{7 + 10}{1\\frac{4}{5} + 3\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7 + 10}{1\\frac{4}{5} + 3\\frac{1}{7}} \\cdot 8",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.39, bodu=31, $$\frac{(7 + 4) \cdot -7}{15}=\textcolor{white}{-5\frac{2}{15}}$$return {
["body"] = 31,
["id"] = "WWUQRh_0728_0251",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -5.1333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 15 },
["render"] = "\\frac{-77}{15}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{2}{15}",
["x"] = -5,
["y"] = 2,
["z"] = 15 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(7 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(7 + 4) \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(7 + 4) \\cdot -7}{15}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.4, bodu=69, $$\frac{(10 + 16)^2}{17 - (10 + (11 + (-5))^3)}=\textcolor{white}{-3\frac{49}{209}}$$return {
["body"] = 69,
["id"] = "SzAVGe_0728_0251",
["obtiznost"] = 0.7576,
["reseni"] = {
["float"] = -3.2344497607656,
["objekt"] = {
["hodnota"] = {
["citatel"] = -676,
["jmenovatel"] = 209 },
["render"] = "\\frac{676}{-209}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{49}{209}",
["x"] = -3,
["y"] = 49,
["z"] = 209 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.4",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "10 + 16",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 16)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "11 + (-5)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(11 + (-5))^3",
["typ"] = "mocnina" },
["render"] = "10 + (11 + (-5))^3",
["typ"] = "plus" },
["render"] = "(10 + (11 + (-5))^3)",
["typ"] = "zavorka" },
["render"] = "17 - (10 + (11 + (-5))^3)",
["typ"] = "minus" },
["render"] = "\\frac{(10 + 16)^2}{17 - (10 + (11 + (-5))^3)}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.41, bodu=33, $$\frac{\frac{5 - (-7 - (-9))^3}{-11}}{7}=\textcolor{white}{\frac{3}{77}}$$return {
["body"] = 33,
["id"] = "PLCL1R_0728_0251",
["obtiznost"] = 0.4136,
["reseni"] = {
["float"] = 0.038961038961039,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 77 },
["render"] = "\\frac{3}{77}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{77}",
["y"] = 3,
["z"] = 77 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-7 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-7 - (-9))^3",
["typ"] = "mocnina" },
["render"] = "5 - (-7 - (-9))^3",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{5 - (-7 - (-9))^3}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{5 - (-7 - (-9))^3}{-11}}{7}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.42, bodu=76, $$8 - (4\frac{4}{7} + 8 + 4\frac{4}{7} + 11 \cdot -14)=\textcolor{white}{144\frac{6}{7}}$$return {
["body"] = 76,
["id"] = "MaBcDg_0728_0251",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 144.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1014,
["jmenovatel"] = 7 },
["render"] = "\\frac{1014}{7}",
["typ"] = "cislo" },
["tex"] = "144\\frac{6}{7}",
["x"] = 144,
["y"] = 6,
["z"] = 7 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["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} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{7} + 8 + 4\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "11 \\cdot -14",
["typ"] = "krat" },
["render"] = "4\\frac{4}{7} + 8 + 4\\frac{4}{7} + 11 \\cdot -14",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{7} + 8 + 4\\frac{4}{7} + 11 \\cdot -14)",
["typ"] = "zavorka" },
["render"] = "8 - (4\\frac{4}{7} + 8 + 4\\frac{4}{7} + 11 \\cdot -14)",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.43, bodu=55, $$\frac{-13 - 6}{4\frac{3}{7}} - (-10) - 13=\textcolor{white}{-7\frac{9}{31}}$$return {
["body"] = 55,
["id"] = "dsyv7t_0728_0251",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -7.2903225806452,
["objekt"] = {
["hodnota"] = {
["citatel"] = -226,
["jmenovatel"] = 31 },
["render"] = "\\frac{-226}{31}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{9}{31}",
["x"] = -7,
["y"] = 9,
["z"] = 31 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-13 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 - 6}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-13 - 6}{4\\frac{3}{7}} - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-13 - 6}{4\\frac{3}{7}} - (-10) - 13",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.44, bodu=79, $$\frac{4\frac{5}{8} + 11}{-10} - (7 - (-12 + 1\frac{5}{10}))=\textcolor{white}{-19\frac{1}{16}}$$return {
["body"] = 79,
["id"] = "8bIT5e_0728_0251",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -19.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -305,
["jmenovatel"] = 16 },
["render"] = "\\frac{-610}{32}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{1}{16}",
["x"] = -19,
["y"] = 1,
["z"] = 16 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{8} + 11}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-12 + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(-12 + 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "7 - (-12 + 1\\frac{5}{10})",
["typ"] = "minus" },
["render"] = "(7 - (-12 + 1\\frac{5}{10}))",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{5}{8} + 11}{-10} - (7 - (-12 + 1\\frac{5}{10}))",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.45, bodu=51, $$-10 + (\frac{-7}{-3})^3 - 5 \cdot 13=\textcolor{white}{-62\frac{8}{27}}$$return {
["body"] = 51,
["id"] = "qBfYZ3_0728_0251",
["obtiznost"] = 0.598,
["reseni"] = {
["float"] = -62.296296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1682,
["jmenovatel"] = 27 },
["render"] = "\\frac{-1682}{27}",
["typ"] = "cislo" },
["tex"] = "-62\\frac{8}{27}",
["x"] = -62,
["y"] = 8,
["z"] = 27 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{-3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-7}{-3})^3",
["typ"] = "mocnina" },
["render"] = "-10 + (\\frac{-7}{-3})^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "5 \\cdot 13",
["typ"] = "krat" },
["render"] = "-10 + (\\frac{-7}{-3})^3 - 5 \\cdot 13",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.46, bodu=108, $$\frac{\frac{\frac{8}{3\frac{5}{10}}}{2\frac{2}{4} + 3\frac{1}{7}}}{-8}=\textcolor{white}{-\frac{4}{79}}$$return {
["body"] = 108,
["id"] = "JiJDFq_0728_0251",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -0.050632911392405,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 79 },
["render"] = "\\frac{32}{-632}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{79}",
["y"] = -4,
["z"] = 79 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} + 3\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{8}{3\\frac{5}{10}}}{2\\frac{2}{4} + 3\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{8}{3\\frac{5}{10}}}{2\\frac{2}{4} + 3\\frac{1}{7}}}{-8}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.47, bodu=38, $$8 \cdot \frac{11 \cdot 9}{-13}=\textcolor{white}{-60\frac{12}{13}}$$return {
["body"] = 38,
["id"] = "TVd6Ae_0728_0251",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -60.923076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = -792,
["jmenovatel"] = 13 },
["render"] = "\\frac{-792}{13}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{12}{13}",
["x"] = -60,
["y"] = 12,
["z"] = 13 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 9}{-13}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{11 \\cdot 9}{-13}",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.48, bodu=65, $$(-12 - \frac{-10}{10})^2 - 3\frac{3}{8} \cdot -10=\textcolor{white}{154{,}75}$$return {
["body"] = 65,
["id"] = "zoEBWL_0728_0251",
["obtiznost"] = 0.7288,
["reseni"] = {
["float"] = 154.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 619,
["jmenovatel"] = 4 },
["render"] = "\\frac{619}{4}",
["typ"] = "cislo" },
["tex"] = "154\\frac{3}{4}",
["tex_float"] = "154{,}75",
["x"] = 154,
["y"] = 3,
["z"] = 4 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.48",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{10}",
["typ"] = "lomeno" },
["render"] = "-12 - \\frac{-10}{10}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - \\frac{-10}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} \\cdot -10",
["typ"] = "krat" },
["render"] = "(-12 - \\frac{-10}{10})^2 - 3\\frac{3}{8} \\cdot -10",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.49, bodu=85, $$\frac{\frac{1\frac{5}{8}}{-9}}{1\frac{1}{8}} \cdot -4=\textcolor{white}{\frac{52}{81}}$$return {
["body"] = 85,
["id"] = "2rdt8I_0728_0251",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = 0.64197530864198,
["objekt"] = {
["hodnota"] = {
["citatel"] = 52,
["jmenovatel"] = 81 },
["render"] = "\\frac{52}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{52}{81}",
["y"] = 52,
["z"] = 81 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{5}{8}}{-9}}{1\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{5}{8}}{-9}}{1\\frac{1}{8}} \\cdot -4",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.5, bodu=95, $$\frac{4\frac{2}{4}}{(\frac{11}{7})^2 \cdot 1\frac{5}{9}}=\textcolor{white}{1\frac{83}{484}}$$return {
["body"] = 95,
["id"] = "2cwokz_0728_0251",
["obtiznost"] = 0.968,
["reseni"] = {
["float"] = 1.1714876033058,
["objekt"] = {
["hodnota"] = {
["citatel"] = 567,
["jmenovatel"] = 484 },
["render"] = "\\frac{567}{484}",
["typ"] = "cislo" },
["tex"] = "1\\frac{83}{484}",
["x"] = 1,
["y"] = 83,
["z"] = 484 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "(\\frac{11}{7})^2 \\cdot 1\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{4}}{(\\frac{11}{7})^2 \\cdot 1\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.51, bodu=139, $$(\frac{(\frac{3\frac{1}{7}}{8})^2}{-9} - 3\frac{5}{7}) \cdot 12=\textcolor{white}{-44\frac{457}{588}}$$return {
["body"] = 139,
["id"] = "uyXnIV_0728_0251",
["obtiznost"] = 1.272,
["reseni"] = {
["float"] = -44.777210884354,
["objekt"] = {
["hodnota"] = {
["citatel"] = -26329,
["jmenovatel"] = 588 },
["render"] = "\\frac{-315948}{7056}",
["typ"] = "cislo" },
["tex"] = "-44\\frac{457}{588}",
["x"] = -44,
["y"] = 457,
["z"] = 588 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.51",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7}}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{1}{7}}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{3\\frac{1}{7}}{8})^2}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{3\\frac{1}{7}}{8})^2}{-9} - 3\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "(\\frac{(\\frac{3\\frac{1}{7}}{8})^2}{-9} - 3\\frac{5}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(\\frac{(\\frac{3\\frac{1}{7}}{8})^2}{-9} - 3\\frac{5}{7}) \\cdot 12",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.52, bodu=67, $$((14 - 10)^3 + 3\frac{1}{4}) \cdot -14 - (8 + (-13))=\textcolor{white}{-936{,}5}$$return {
["body"] = 67,
["id"] = "tvh2j6_0728_0251",
["obtiznost"] = 0.746,
["reseni"] = {
["float"] = -936.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1873,
["jmenovatel"] = 2 },
["render"] = "\\frac{-1873}{2}",
["typ"] = "cislo" },
["tex"] = "-936\\frac{1}{2}",
["tex_float"] = "-936{,}5",
["x"] = -936,
["y"] = 1,
["z"] = 2 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "14 - 10",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(14 - 10)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "(14 - 10)^3 + 3\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "((14 - 10)^3 + 3\\frac{1}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "((14 - 10)^3 + 3\\frac{1}{4}) \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "8 + (-13)",
["typ"] = "plus" },
["render"] = "(8 + (-13))",
["typ"] = "zavorka" },
["render"] = "((14 - 10)^3 + 3\\frac{1}{4}) \\cdot -14 - (8 + (-13))",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.53, bodu=44, $$\frac{6}{-6} - (\frac{10}{9} - 13)=\textcolor{white}{10\frac{8}{9}}$$return {
["body"] = 44,
["id"] = "9jPDPZ_0728_0251",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 10.888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 98,
["jmenovatel"] = 9 },
["render"] = "\\frac{98}{9}",
["typ"] = "cislo" },
["tex"] = "10\\frac{8}{9}",
["x"] = 10,
["y"] = 8,
["z"] = 9 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9} - 13",
["typ"] = "minus" },
["render"] = "(\\frac{10}{9} - 13)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{-6} - (\\frac{10}{9} - 13)",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.54, bodu=68, $$\frac{\frac{-7}{(3 - 5)^4}}{1\frac{4}{10} \cdot -6}=\textcolor{white}{\frac{5}{96}}$$return {
["body"] = 68,
["id"] = "oSNqhH_0728_0251",
["obtiznost"] = 0.7468,
["reseni"] = {
["float"] = 0.052083333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 96 },
["render"] = "\\frac{-35}{-672}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{96}",
["y"] = 5,
["z"] = 96 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 - 5",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(3 - 5)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-7}{(3 - 5)^4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot -6",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-7}{(3 - 5)^4}}{1\\frac{4}{10} \\cdot -6}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.55, bodu=139, $$(2\frac{4}{12} \cdot (4\frac{3}{5} + (-7)))^2 + 9 \cdot -5=\textcolor{white}{-13{,}64}$$return {
["body"] = 139,
["id"] = "XU8CPt_0728_0251",
["obtiznost"] = 1.2736,
["reseni"] = {
["float"] = -13.64,
["objekt"] = {
["hodnota"] = {
["citatel"] = -341,
["jmenovatel"] = 25 },
["render"] = "\\frac{-341}{25}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{16}{25}",
["tex_float"] = "-13{,}64",
["x"] = -13,
["y"] = 16,
["z"] = 25 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.55",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} + (-7)",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{5} + (-7))",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{12} \\cdot (4\\frac{3}{5} + (-7))",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2\\frac{4}{12} \\cdot (4\\frac{3}{5} + (-7)))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "9 \\cdot -5",
["typ"] = "krat" },
["render"] = "(2\\frac{4}{12} \\cdot (4\\frac{3}{5} + (-7)))^2 + 9 \\cdot -5",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.56, bodu=47, $$(\frac{-14 + 11 + 3}{-12 - 15 \cdot -13})^4=\textcolor{white}{0}$$return {
["body"] = 47,
["id"] = "h0DWMK_0728_0251",
["obtiznost"] = 0.5604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.56",
["zadani"] = {
["c"] = {
["c1"] = {
["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"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-14 + 11 + 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "15 \\cdot -13",
["typ"] = "krat" },
["render"] = "-12 - 15 \\cdot -13",
["typ"] = "minus" },
["render"] = "\\frac{-14 + 11 + 3}{-12 - 15 \\cdot -13}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-14 + 11 + 3}{-12 - 15 \\cdot -13})^4",
["typ"] = "mocnina" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.57, bodu=70, $$\frac{3}{4\frac{4}{9} + 15 + \frac{11}{-16 - (-5)}}=\textcolor{white}{\frac{27}{166}}$$return {
["body"] = 70,
["id"] = "AJWil5_0728_0251",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 0.16265060240964,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 166 },
["render"] = "\\frac{27}{166}",
["typ"] = "cislo" },
["tex"] = "\\frac{27}{166}",
["y"] = 27,
["z"] = 166 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 15",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-16 - (-5)",
["typ"] = "minus" },
["render"] = "\\frac{11}{-16 - (-5)}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{9} + 15 + \\frac{11}{-16 - (-5)}",
["typ"] = "plus" },
["render"] = "\\frac{3}{4\\frac{4}{9} + 15 + \\frac{11}{-16 - (-5)}}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.58, bodu=97, $$-15 - (-3) - (7 - 1\frac{1}{4} - 1\frac{1}{3})=\textcolor{white}{-16\frac{5}{12}}$$return {
["body"] = 97,
["id"] = "k7oJTo_0728_0251",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -16.416666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -197,
["jmenovatel"] = 12 },
["render"] = "\\frac{-197}{12}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{5}{12}",
["x"] = -16,
["y"] = 5,
["z"] = 12 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "-15 - (-3)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "7 - 1\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "7 - 1\\frac{1}{4} - 1\\frac{1}{3}",
["typ"] = "minus" },
["render"] = "(7 - 1\\frac{1}{4} - 1\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "-15 - (-3) - (7 - 1\\frac{1}{4} - 1\\frac{1}{3})",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.59, bodu=98, $$-15 + \frac{3\frac{4}{8} - 4\frac{3}{8}}{(9 - 9)^4 + 4}=\textcolor{white}{-15\frac{7}{32}}$$return {
["body"] = 98,
["id"] = "65Guse_0728_0251",
["obtiznost"] = 0.9904,
["reseni"] = {
["float"] = -15.21875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -487,
["jmenovatel"] = 32 },
["render"] = "\\frac{-487}{32}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{7}{32}",
["x"] = -15,
["y"] = 7,
["z"] = 32 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} - 4\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(9 - 9)^4 + 4",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{8} - 4\\frac{3}{8}}{(9 - 9)^4 + 4}",
["typ"] = "lomeno" },
["render"] = "-15 + \\frac{3\\frac{4}{8} - 4\\frac{3}{8}}{(9 - 9)^4 + 4}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.6, bodu=74, $$\frac{8 - 10}{\frac{12 - 3\frac{5}{7}}{-3 - (-17)}}=\textcolor{white}{-3\frac{11}{29}}$$return {
["body"] = 74,
["id"] = "utjEaB_0728_0251",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -3.3793103448276,
["objekt"] = {
["hodnota"] = {
["citatel"] = -98,
["jmenovatel"] = 29 },
["render"] = "\\frac{-98}{29}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{11}{29}",
["x"] = -3,
["y"] = 11,
["z"] = 29 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{5}{7}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-3 - (-17)",
["typ"] = "minus" },
["render"] = "\\frac{12 - 3\\frac{5}{7}}{-3 - (-17)}",
["typ"] = "lomeno" },
["render"] = "\\frac{8 - 10}{\\frac{12 - 3\\frac{5}{7}}{-3 - (-17)}}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.61, bodu=75, $$1\frac{5}{10} \cdot (10 - \frac{11}{\frac{17}{-12}})=\textcolor{white}{26\frac{11}{17}}$$return {
["body"] = 75,
["id"] = "GAp5fK_0728_0251",
["obtiznost"] = 0.81,
["reseni"] = {
["float"] = 26.647058823529,
["objekt"] = {
["hodnota"] = {
["citatel"] = 453,
["jmenovatel"] = 17 },
["render"] = "\\frac{906}{34}",
["typ"] = "cislo" },
["tex"] = "26\\frac{11}{17}",
["x"] = 26,
["y"] = 11,
["z"] = 17 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["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"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{17}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{17}{-12}}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{11}{\\frac{17}{-12}}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{11}{\\frac{17}{-12}})",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{10} \\cdot (10 - \\frac{11}{\\frac{17}{-12}})",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.62, bodu=102, $$\frac{2\frac{5}{7}}{-11} - (10 \cdot 1\frac{2}{4} - (-9))=\textcolor{white}{-24\frac{19}{77}}$$return {
["body"] = 102,
["id"] = "mRgs0F_0728_0251",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -24.246753246753,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1867,
["jmenovatel"] = 77 },
["render"] = "\\frac{-1867}{77}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{19}{77}",
["x"] = -24,
["y"] = 19,
["z"] = 77 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 7 },
["render"] = "2\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{7}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "10 \\cdot 1\\frac{2}{4} - (-9)",
["typ"] = "minus" },
["render"] = "(10 \\cdot 1\\frac{2}{4} - (-9))",
["typ"] = "zavorka" },
["render"] = "\\frac{2\\frac{5}{7}}{-11} - (10 \\cdot 1\\frac{2}{4} - (-9))",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.63, bodu=104, $$\frac{\frac{11}{9} \cdot (7 - 2\frac{5}{8})}{3\frac{4}{7}}=\textcolor{white}{1\frac{179}{360}}$$return {
["body"] = 104,
["id"] = "JXyFsa_0728_0251",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 1.4972222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 539,
["jmenovatel"] = 360 },
["render"] = "\\frac{2695}{1800}",
["typ"] = "cislo" },
["tex"] = "1\\frac{179}{360}",
["x"] = 1,
["y"] = 179,
["z"] = 360 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "(7 - 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{11}{9} \\cdot (7 - 2\\frac{5}{8})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{9} \\cdot (7 - 2\\frac{5}{8})}{3\\frac{4}{7}}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.64, bodu=56, $$\frac{\frac{-8}{13}}{-12 \cdot (-15 - (-9))}=\textcolor{white}{-\frac{1}{117}}$$return {
["body"] = 56,
["id"] = "YjL9NN_0728_0251",
["obtiznost"] = 0.64,
["reseni"] = {
["float"] = -0.0085470085470085,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 117 },
["render"] = "\\frac{-8}{936}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{117}",
["y"] = -1,
["z"] = 117 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-15 - (-9)",
["typ"] = "minus" },
["render"] = "(-15 - (-9))",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (-15 - (-9))",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{-8}{13}}{-12 \\cdot (-15 - (-9))}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.65, bodu=106, $$\frac{\frac{11}{\frac{11 - 1\frac{2}{3}}{4\frac{1}{7}}}}{8}=\textcolor{white}{\frac{957}{1568}}$$return {
["body"] = 106,
["id"] = "Z8J7yt_0728_0251",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = 0.61033163265306,
["objekt"] = {
["hodnota"] = {
["citatel"] = 957,
["jmenovatel"] = 1568 },
["render"] = "\\frac{957}{1568}",
["typ"] = "cislo" },
["tex"] = "\\frac{957}{1568}",
["y"] = 957,
["z"] = 1568 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "11 - 1\\frac{2}{3}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{11 - 1\\frac{2}{3}}{4\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{11 - 1\\frac{2}{3}}{4\\frac{1}{7}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{\\frac{11 - 1\\frac{2}{3}}{4\\frac{1}{7}}}}{8}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.66, bodu=108, $$4\frac{3}{11} \cdot -18 \cdot (3\frac{4}{7} + 16) \cdot (-10 + (-11))=\textcolor{white}{31609\frac{7}{11}}$$return {
["body"] = 108,
["id"] = "5z9AFQ_0728_0251",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 31609.636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 347706,
["jmenovatel"] = 11 },
["render"] = "\\frac{347706}{11}",
["typ"] = "cislo" },
["tex"] = "31609\\frac{7}{11}",
["x"] = 31609,
["y"] = 7,
["z"] = 11 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{7} + 16",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{7} + 16)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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"] = "(-10 + (-11))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{4}{7} + 16) \\cdot (-10 + (-11))",
["typ"] = "krat" },
["render"] = "-18 \\cdot (3\\frac{4}{7} + 16) \\cdot (-10 + (-11))",
["typ"] = "krat" },
["render"] = "4\\frac{3}{11} \\cdot -18 \\cdot (3\\frac{4}{7} + 16) \\cdot (-10 + (-11))",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.67, bodu=170, $$(\frac{4\frac{1}{5}}{1\frac{3}{8} \cdot 1\frac{3}{8} + 2\frac{1}{7}} + (-9)) \cdot -6=\textcolor{white}{47\frac{6797}{9035}}$$return {
["body"] = 170,
["id"] = "0eCxye_0728_0251",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 47.752296624239,
["objekt"] = {
["hodnota"] = {
["citatel"] = 431442,
["jmenovatel"] = 9035 },
["render"] = "\\frac{431442}{9035}",
["typ"] = "cislo" },
["tex"] = "47\\frac{6797}{9035}",
["x"] = 47,
["y"] = 6797,
["z"] = 9035 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.67",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 1\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{8} \\cdot 1\\frac{3}{8} + 2\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{1}{5}}{1\\frac{3}{8} \\cdot 1\\frac{3}{8} + 2\\frac{1}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{5}}{1\\frac{3}{8} \\cdot 1\\frac{3}{8} + 2\\frac{1}{7}} + (-9)",
["typ"] = "plus" },
["render"] = "(\\frac{4\\frac{1}{5}}{1\\frac{3}{8} \\cdot 1\\frac{3}{8} + 2\\frac{1}{7}} + (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{1}{5}}{1\\frac{3}{8} \\cdot 1\\frac{3}{8} + 2\\frac{1}{7}} + (-9)) \\cdot -6",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.68, bodu=72, $$-10 - \frac{(\frac{12}{-11})^2}{9} \cdot -19=\textcolor{white}{-7\frac{59}{121}}$$return {
["body"] = 72,
["id"] = "341ZJl_0728_0251",
["obtiznost"] = 0.786,
["reseni"] = {
["float"] = -7.4876033057851,
["objekt"] = {
["hodnota"] = {
["citatel"] = -906,
["jmenovatel"] = 121 },
["render"] = "\\frac{-906}{121}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{59}{121}",
["x"] = -7,
["y"] = 59,
["z"] = 121 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{-11})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{12}{-11})^2}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{12}{-11})^2}{9} \\cdot -19",
["typ"] = "krat" },
["render"] = "-10 - \\frac{(\\frac{12}{-11})^2}{9} \\cdot -19",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.69, bodu=141, $$10 - (7 + 3\frac{3}{8} - 4\frac{4}{9}) - \frac{2\frac{1}{8}}{-19}=\textcolor{white}{4\frac{31}{171}}$$return {
["body"] = 141,
["id"] = "KJ5945_0728_0251",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = 4.1812865497076,
["objekt"] = {
["hodnota"] = {
["citatel"] = 715,
["jmenovatel"] = 171 },
["render"] = "\\frac{45760}{10944}",
["typ"] = "cislo" },
["tex"] = "4\\frac{31}{171}",
["x"] = 4,
["y"] = 31,
["z"] = 171 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} - 4\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "7 + 3\\frac{3}{8} - 4\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(7 + 3\\frac{3}{8} - 4\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "10 - (7 + 3\\frac{3}{8} - 4\\frac{4}{9})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{8}}{-19}",
["typ"] = "lomeno" },
["render"] = "10 - (7 + 3\\frac{3}{8} - 4\\frac{4}{9}) - \\frac{2\\frac{1}{8}}{-19}",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.7, bodu=117, $$(-8 + 16)^2 \cdot -18 - (-9 \cdot (4\frac{3}{9} + 2\frac{5}{8}))=\textcolor{white}{-1089{,}375}$$return {
["body"] = 117,
["id"] = "3LPZ9Y_0728_0251",
["obtiznost"] = 1.126,
["reseni"] = {
["float"] = -1089.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8715,
["jmenovatel"] = 8 },
["render"] = "\\frac{-8715}{8}",
["typ"] = "cislo" },
["tex"] = "-1089\\frac{3}{8}",
["tex_float"] = "-1089{,}375",
["x"] = -1089,
["y"] = 3,
["z"] = 8 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-8 + 16",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 16)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "(-8 + 16)^2 \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + 2\\frac{5}{8}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{9} + 2\\frac{5}{8})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (4\\frac{3}{9} + 2\\frac{5}{8})",
["typ"] = "krat" },
["render"] = "(-8 + 16)^2 \\cdot -18 - (-9 \\cdot (4\\frac{3}{9} + 2\\frac{5}{8}))",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.71, bodu=88, $$1\frac{4}{10} - (-14 \cdot 5 \cdot (-17 - 13))=\textcolor{white}{-2098{,}6}$$return {
["body"] = 88,
["id"] = "kU5cQb_0728_0251",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -2098.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10493,
["jmenovatel"] = 5 },
["render"] = "\\frac{-10493}{5}",
["typ"] = "cislo" },
["tex"] = "-2098\\frac{3}{5}",
["tex_float"] = "-2098{,}6",
["x"] = -2098,
["y"] = 3,
["z"] = 5 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.71",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-14 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-17 - 13",
["typ"] = "minus" },
["render"] = "(-17 - 13)",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot 5 \\cdot (-17 - 13)",
["typ"] = "krat" },
["render"] = "1\\frac{4}{10} - (-14 \\cdot 5 \\cdot (-17 - 13))",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.72, bodu=75, $$-11 - \frac{(\frac{11}{-10})^2}{-11} \cdot 10=\textcolor{white}{-9{,}9}$$return {
["body"] = 75,
["id"] = "3HKwl3_0728_0251",
["obtiznost"] = 0.8084,
["reseni"] = {
["float"] = -9.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 10 },
["render"] = "\\frac{-99}{10}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{9}{10}",
["tex_float"] = "-9{,}9",
["x"] = -9,
["y"] = 9,
["z"] = 10 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{-10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{11}{-10})^2}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{11}{-10})^2}{-11} \\cdot 10",
["typ"] = "krat" },
["render"] = "-11 - \\frac{(\\frac{11}{-10})^2}{-11} \\cdot 10",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.73, bodu=75, $$(\frac{-9 \cdot 14}{-11 \cdot -14})^2 + (-15)=\textcolor{white}{-14\frac{40}{121}}$$return {
["body"] = 75,
["id"] = "reKikF_0728_0251",
["obtiznost"] = 0.8108,
["reseni"] = {
["float"] = -14.330578512397,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1734,
["jmenovatel"] = 121 },
["render"] = "\\frac{-1734}{121}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{40}{121}",
["x"] = -14,
["y"] = 40,
["z"] = 121 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.73",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{-9 \\cdot 14}{-11 \\cdot -14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9 \\cdot 14}{-11 \\cdot -14})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(\\frac{-9 \\cdot 14}{-11 \\cdot -14})^2 + (-15)",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.74, bodu=181, $$2\frac{1}{8} - (-13) + \frac{4\frac{5}{11} \cdot -12}{4\frac{4}{7}} + 1\frac{4}{10}=\textcolor{white}{4\frac{183}{220}}$$return {
["body"] = 181,
["id"] = "lyOZT8_0728_0251",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 4.8318181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1063,
["jmenovatel"] = 220 },
["render"] = "\\frac{17008}{3520}",
["typ"] = "cislo" },
["tex"] = "4\\frac{183}{220}",
["x"] = 4,
["y"] = 183,
["z"] = 220 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11} \\cdot -12}{4\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{11} \\cdot -12}{4\\frac{4}{7}} + 1\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "2\\frac{1}{8} - (-13) + \\frac{4\\frac{5}{11} \\cdot -12}{4\\frac{4}{7}} + 1\\frac{4}{10}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.75, bodu=120, $$4\frac{5}{10} + \frac{1\frac{1}{7} \cdot 11}{8} \cdot 4=\textcolor{white}{10\frac{11}{14}}$$return {
["body"] = 120,
["id"] = "as7X6N_0728_0251",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 10.785714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 151,
["jmenovatel"] = 14 },
["render"] = "\\frac{151}{14}",
["typ"] = "cislo" },
["tex"] = "10\\frac{11}{14}",
["x"] = 10,
["y"] = 11,
["z"] = 14 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7} \\cdot 11}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{7} \\cdot 11}{8} \\cdot 4",
["typ"] = "krat" },
["render"] = "4\\frac{5}{10} + \\frac{1\\frac{1}{7} \\cdot 11}{8} \\cdot 4",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.76, bodu=122, $$5 \cdot \frac{\frac{2\frac{4}{9}}{-10}}{\frac{-15}{3\frac{2}{11}}}=\textcolor{white}{\frac{7}{27}}$$return {
["body"] = 122,
["id"] = "FOWiqk_0728_0251",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = 0.25925925925926,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 27 },
["render"] = "\\frac{35}{135}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{27}",
["y"] = 7,
["z"] = 27 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{9}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{3\\frac{2}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{2\\frac{4}{9}}{-10}}{\\frac{-15}{3\\frac{2}{11}}}",
["typ"] = "lomeno" },
["render"] = "5 \\cdot \\frac{\\frac{2\\frac{4}{9}}{-10}}{\\frac{-15}{3\\frac{2}{11}}}",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.77, bodu=96, $$-14 - (8 - (-18 - (-16))^3 - 4 \cdot 3\frac{4}{10})=\textcolor{white}{-16{,}4}$$return {
["body"] = 96,
["id"] = "CpOhAq_0728_0251",
["obtiznost"] = 0.9736,
["reseni"] = {
["float"] = -16.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -82,
["jmenovatel"] = 5 },
["render"] = "\\frac{-82}{5}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{2}{5}",
["tex_float"] = "-16{,}4",
["x"] = -16,
["y"] = 2,
["z"] = 5 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.77",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-18 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-18 - (-16))^3",
["typ"] = "mocnina" },
["render"] = "8 - (-18 - (-16))^3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "8 - (-18 - (-16))^3 - 4 \\cdot 3\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(8 - (-18 - (-16))^3 - 4 \\cdot 3\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "-14 - (8 - (-18 - (-16))^3 - 4 \\cdot 3\\frac{4}{10})",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.78, bodu=155, $$(4\frac{2}{6} + (-20) - 1\frac{1}{11} \cdot -5) \cdot 4\frac{4}{7} - 16=\textcolor{white}{-62\frac{158}{231}}$$return {
["body"] = 155,
["id"] = "dJbhur_0728_0251",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -62.683982683983,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14480,
["jmenovatel"] = 231 },
["render"] = "\\frac{-14480}{231}",
["typ"] = "cislo" },
["tex"] = "-62\\frac{158}{231}",
["x"] = -62,
["y"] = 158,
["z"] = 231 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} + (-20)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{11} \\cdot -5",
["typ"] = "krat" },
["render"] = "4\\frac{2}{6} + (-20) - 1\\frac{1}{11} \\cdot -5",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{6} + (-20) - 1\\frac{1}{11} \\cdot -5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{6} + (-20) - 1\\frac{1}{11} \\cdot -5) \\cdot 4\\frac{4}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{6} + (-20) - 1\\frac{1}{11} \\cdot -5) \\cdot 4\\frac{4}{7} - 16",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.79, bodu=157, $$3\frac{5}{10} + \frac{-9}{4\frac{5}{10}} \cdot -9 \cdot 3\frac{1}{5}=\textcolor{white}{61{,}1}$$return {
["body"] = 157,
["id"] = "XMDoKK_0728_0251",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 61.1,
["objekt"] = {
["hodnota"] = {
["citatel"] = 611,
["jmenovatel"] = 10 },
["render"] = "\\frac{611}{10}",
["typ"] = "cislo" },
["tex"] = "61\\frac{1}{10}",
["tex_float"] = "61{,}1",
["x"] = 61,
["y"] = 1,
["z"] = 10 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.79",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "\\frac{-9}{4\\frac{5}{10}} \\cdot -9 \\cdot 3\\frac{1}{5}",
["typ"] = "krat" },
["render"] = "3\\frac{5}{10} + \\frac{-9}{4\\frac{5}{10}} \\cdot -9 \\cdot 3\\frac{1}{5}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.8, bodu=236, $$\frac{3\frac{4}{5}}{4\frac{3}{13}} + 1\frac{1}{6} + 3\frac{1}{8} - (12 - (10 + 7))^4=\textcolor{white}{-619\frac{5347}{6600}}$$return {
["body"] = 236,
["id"] = "aXEj7n_0728_0251",
["obtiznost"] = 1.8504,
["reseni"] = {
["float"] = -619.81015151515,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4090747,
["jmenovatel"] = 6600 },
["render"] = "\\frac{-8181494}{13200}",
["typ"] = "cislo" },
["tex"] = "-619\\frac{5347}{6600}",
["x"] = -619,
["y"] = 5347,
["z"] = 6600 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{5}}{4\\frac{3}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{5}}{4\\frac{3}{13}} + 1\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 + 7",
["typ"] = "plus" },
["render"] = "(10 + 7)",
["typ"] = "zavorka" },
["render"] = "12 - (10 + 7)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(12 - (10 + 7))^4",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{8} - (12 - (10 + 7))^4",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{5}}{4\\frac{3}{13}} + 1\\frac{1}{6} + 3\\frac{1}{8} - (12 - (10 + 7))^4",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.81, bodu=305, $$3\frac{5}{8} + (2\frac{3}{7} - 4\frac{2}{7} + 3\frac{4}{11} + 4\frac{1}{8} \cdot 2\frac{4}{10}) \cdot 3\frac{5}{10}=\textcolor{white}{43\frac{241}{440}}$$return {
["body"] = 305,
["id"] = "XLwHoZ_0728_0251",
["obtiznost"] = 2.21,
["reseni"] = {
["float"] = 43.547727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19161,
["jmenovatel"] = 440 },
["render"] = "\\frac{76644}{1760}",
["typ"] = "cislo" },
["tex"] = "43\\frac{241}{440}",
["x"] = 43,
["y"] = 241,
["z"] = 440 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{7} - 4\\frac{2}{7} + 3\\frac{4}{11}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{8} \\cdot 2\\frac{4}{10}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{7} - 4\\frac{2}{7} + 3\\frac{4}{11} + 4\\frac{1}{8} \\cdot 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} - 4\\frac{2}{7} + 3\\frac{4}{11} + 4\\frac{1}{8} \\cdot 2\\frac{4}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{7} - 4\\frac{2}{7} + 3\\frac{4}{11} + 4\\frac{1}{8} \\cdot 2\\frac{4}{10}) \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "3\\frac{5}{8} + (2\\frac{3}{7} - 4\\frac{2}{7} + 3\\frac{4}{11} + 4\\frac{1}{8} \\cdot 2\\frac{4}{10}) \\cdot 3\\frac{5}{10}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.82, bodu=186, $$3\frac{2}{7} + (-12 - (13 + 1\frac{3}{10})) \cdot \frac{(-14 + 4\frac{5}{10})^2}{23}=\textcolor{white}{-99\frac{5881}{6440}}$$return {
["body"] = 186,
["id"] = "GRL4Ev_0728_0251",
["obtiznost"] = 1.566,
["reseni"] = {
["float"] = -99.913198757764,
["objekt"] = {
["hodnota"] = {
["citatel"] = -643441,
["jmenovatel"] = 6440 },
["render"] = "\\frac{-643441}{6440}",
["typ"] = "cislo" },
["tex"] = "-99\\frac{5881}{6440}",
["x"] = -99,
["y"] = 5881,
["z"] = 6440 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "13 + 1\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(13 + 1\\frac{3}{10})",
["typ"] = "zavorka" },
["render"] = "-12 - (13 + 1\\frac{3}{10})",
["typ"] = "minus" },
["render"] = "(-12 - (13 + 1\\frac{3}{10}))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-14 + 4\\frac{5}{10}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + 4\\frac{5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["render"] = "\\frac{(-14 + 4\\frac{5}{10})^2}{23}",
["typ"] = "lomeno" },
["render"] = "(-12 - (13 + 1\\frac{3}{10})) \\cdot \\frac{(-14 + 4\\frac{5}{10})^2}{23}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{7} + (-12 - (13 + 1\\frac{3}{10})) \\cdot \\frac{(-14 + 4\\frac{5}{10})^2}{23}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.83, bodu=163, $$(4\frac{2}{10} + 1\frac{3}{11} + (-16) + 14 + 9 \cdot -12) \cdot 2\frac{3}{10}=\textcolor{white}{-240\frac{227}{550}}$$return {
["body"] = 163,
["id"] = "YJVnAi_0728_0251",
["obtiznost"] = 1.43,
["reseni"] = {
["float"] = -240.41272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -132227,
["jmenovatel"] = 550 },
["render"] = "\\frac{-132227}{550}",
["typ"] = "cislo" },
["tex"] = "-240\\frac{227}{550}",
["x"] = -240,
["y"] = 227,
["z"] = 550 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.83",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{11} + (-16)",
["typ"] = "plus" },
["render"] = "4\\frac{2}{10} + 1\\frac{3}{11} + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 \\cdot -12",
["typ"] = "krat" },
["render"] = "14 + 9 \\cdot -12",
["typ"] = "plus" },
["render"] = "4\\frac{2}{10} + 1\\frac{3}{11} + (-16) + 14 + 9 \\cdot -12",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{10} + 1\\frac{3}{11} + (-16) + 14 + 9 \\cdot -12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{10} + 1\\frac{3}{11} + (-16) + 14 + 9 \\cdot -12) \\cdot 2\\frac{3}{10}",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.84, bodu=105, $$\frac{7}{\frac{-18}{6 - (12 \cdot 2\frac{1}{6} + 13)}}=\textcolor{white}{12\frac{5}{6}}$$return {
["body"] = 105,
["id"] = "k1Nt1v_0728_0251",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 12.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 6 },
["render"] = "\\frac{77}{6}",
["typ"] = "cislo" },
["tex"] = "12\\frac{5}{6}",
["x"] = 12,
["y"] = 5,
["z"] = 6 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{1}{6} + 13",
["typ"] = "plus" },
["render"] = "(12 \\cdot 2\\frac{1}{6} + 13)",
["typ"] = "zavorka" },
["render"] = "6 - (12 \\cdot 2\\frac{1}{6} + 13)",
["typ"] = "minus" },
["render"] = "\\frac{-18}{6 - (12 \\cdot 2\\frac{1}{6} + 13)}",
["typ"] = "lomeno" },
["render"] = "\\frac{7}{\\frac{-18}{6 - (12 \\cdot 2\\frac{1}{6} + 13)}}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.85, bodu=200, $$\frac{21 \cdot 4\frac{1}{7} \cdot 2\frac{2}{6}}{10 + 3\frac{4}{6} - (3\frac{4}{8} + (-8))}=\textcolor{white}{11\frac{19}{109}}$$return {
["body"] = 200,
["id"] = "33eVVE_0728_0251",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = 11.174311926606,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1218,
["jmenovatel"] = 109 },
["render"] = "\\frac{1218}{109}",
["typ"] = "cislo" },
["tex"] = "11\\frac{19}{109}",
["x"] = 11,
["y"] = 19,
["z"] = 109 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "21 \\cdot 4\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "21 \\cdot 4\\frac{1}{7} \\cdot 2\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{4}{6}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + (-8)",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{8} + (-8))",
["typ"] = "zavorka" },
["render"] = "10 + 3\\frac{4}{6} - (3\\frac{4}{8} + (-8))",
["typ"] = "minus" },
["render"] = "\\frac{21 \\cdot 4\\frac{1}{7} \\cdot 2\\frac{2}{6}}{10 + 3\\frac{4}{6} - (3\\frac{4}{8} + (-8))}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.86, bodu=143, $$\frac{4\frac{3}{9} \cdot 10 \cdot -10}{(\frac{8}{3\frac{5}{9}})^2}=\textcolor{white}{-85\frac{145}{243}}$$return {
["body"] = 143,
["id"] = "UQh8QL_0728_0251",
["obtiznost"] = 1.2988,
["reseni"] = {
["float"] = -85.59670781893,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20800,
["jmenovatel"] = 243 },
["render"] = "\\frac{-20800}{243}",
["typ"] = "cislo" },
["tex"] = "-85\\frac{145}{243}",
["x"] = -85,
["y"] = 145,
["z"] = 243 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "10 \\cdot -10",
["typ"] = "krat" },
["render"] = "4\\frac{3}{9} \\cdot 10 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{3\\frac{5}{9}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{3}{9} \\cdot 10 \\cdot -10}{(\\frac{8}{3\\frac{5}{9}})^2}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.87, bodu=170, $$-11 + \frac{-13}{\frac{15}{4\frac{4}{10}}} - (1\frac{5}{15} + 3\frac{4}{8} + 21)=\textcolor{white}{-40\frac{97}{150}}$$return {
["body"] = 170,
["id"] = "oktb1Z_0728_0251",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = -40.646666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6097,
["jmenovatel"] = 150 },
["render"] = "\\frac{-18291}{450}",
["typ"] = "cislo" },
["tex"] = "-40\\frac{97}{150}",
["x"] = -40,
["y"] = 97,
["z"] = 150 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13}{\\frac{15}{4\\frac{4}{10}}}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{-13}{\\frac{15}{4\\frac{4}{10}}}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} + 21",
["typ"] = "plus" },
["render"] = "1\\frac{5}{15} + 3\\frac{4}{8} + 21",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{15} + 3\\frac{4}{8} + 21)",
["typ"] = "zavorka" },
["render"] = "-11 + \\frac{-13}{\\frac{15}{4\\frac{4}{10}}} - (1\\frac{5}{15} + 3\\frac{4}{8} + 21)",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.88, bodu=140, $$\frac{19 \cdot \frac{-11}{3\frac{3}{9}}}{4\frac{4}{13} - 4 \cdot -11}=\textcolor{white}{-1\frac{1871}{6280}}$$return {
["body"] = 140,
["id"] = "81bMzY_0728_0251",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -1.2979299363057,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8151,
["jmenovatel"] = 6280 },
["render"] = "\\frac{-8151}{6280}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1871}{6280}",
["x"] = -1,
["y"] = 1871,
["z"] = 6280 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{3\\frac{3}{9}}",
["typ"] = "lomeno" },
["render"] = "19 \\cdot \\frac{-11}{3\\frac{3}{9}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4 \\cdot -11",
["typ"] = "krat" },
["render"] = "4\\frac{4}{13} - 4 \\cdot -11",
["typ"] = "minus" },
["render"] = "\\frac{19 \\cdot \\frac{-11}{3\\frac{3}{9}}}{4\\frac{4}{13} - 4 \\cdot -11}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.89, bodu=141, $$-14 \cdot \frac{-14}{-12} - (8 + \frac{1\frac{3}{9}}{4\frac{2}{5}})=\textcolor{white}{-24\frac{7}{11}}$$return {
["body"] = 141,
["id"] = "MBD60E_0728_0251",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -24.636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = -271,
["jmenovatel"] = 11 },
["render"] = "\\frac{-2439}{99}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{7}{11}",
["x"] = -24,
["y"] = 7,
["z"] = 11 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-12}",
["typ"] = "lomeno" },
["render"] = "-14 \\cdot \\frac{-14}{-12}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9}}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{1\\frac{3}{9}}{4\\frac{2}{5}}",
["typ"] = "plus" },
["render"] = "(8 + \\frac{1\\frac{3}{9}}{4\\frac{2}{5}})",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot \\frac{-14}{-12} - (8 + \\frac{1\\frac{3}{9}}{4\\frac{2}{5}})",
["typ"] = "minus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.9, bodu=175, $$(2\frac{1}{4} + 1\frac{1}{8} - (-12) - 13) \cdot \frac{1\frac{1}{11}}{-2}=\textcolor{white}{-1\frac{13}{44}}$$return {
["body"] = 175,
["id"] = "RrKJLg_0728_0251",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -1.2954545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -57,
["jmenovatel"] = 44 },
["render"] = "\\frac{-114}{88}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{13}{44}",
["x"] = -1,
["y"] = 13,
["z"] = 44 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.9",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + 1\\frac{1}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + 1\\frac{1}{8} - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{4} + 1\\frac{1}{8} - (-12) - 13",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{4} + 1\\frac{1}{8} - (-12) - 13)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 11 },
["render"] = "1\\frac{1}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{11}}{-2}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{1}{4} + 1\\frac{1}{8} - (-12) - 13) \\cdot \\frac{1\\frac{1}{11}}{-2}",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.91, bodu=176, $$\frac{3\frac{1}{10}}{-23 \cdot \frac{\frac{2\frac{3}{12}}{2\frac{4}{10}}}{19}}=\textcolor{white}{-2\frac{1262}{1725}}$$return {
["body"] = 176,
["id"] = "vQEXoc_0728_0251",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -2.7315942028986,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4712,
["jmenovatel"] = 1725 },
["render"] = "\\frac{9424}{-3450}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{1262}{1725}",
["x"] = -2,
["y"] = 1262,
["z"] = 1725 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{12}}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{12}}{2\\frac{4}{10}}}{19}",
["typ"] = "lomeno" },
["render"] = "-23 \\cdot \\frac{\\frac{2\\frac{3}{12}}{2\\frac{4}{10}}}{19}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{1}{10}}{-23 \\cdot \\frac{\\frac{2\\frac{3}{12}}{2\\frac{4}{10}}}{19}}",
["typ"] = "lomeno" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.92, bodu=178, $$1\frac{2}{10} \cdot (\frac{7}{21} + 21) \cdot (1\frac{2}{10} + 1\frac{5}{13} + (-20))=\textcolor{white}{-445\frac{271}{325}}$$return {
["body"] = 178,
["id"] = "p37NRi_0728_0251",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -445.83384615385,
["objekt"] = {
["hodnota"] = {
["citatel"] = -144896,
["jmenovatel"] = 325 },
["render"] = "\\frac{-144896}{325}",
["typ"] = "cislo" },
["tex"] = "-445\\frac{271}{325}",
["x"] = -445,
["y"] = 271,
["z"] = 325 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{7}{21}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "\\frac{7}{21} + 21",
["typ"] = "plus" },
["render"] = "(\\frac{7}{21} + 21)",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{10} \\cdot (\\frac{7}{21} + 21)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 13 },
["render"] = "1\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{13} + (-20)",
["typ"] = "plus" },
["render"] = "1\\frac{2}{10} + 1\\frac{5}{13} + (-20)",
["typ"] = "plus" },
["render"] = "(1\\frac{2}{10} + 1\\frac{5}{13} + (-20))",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{10} \\cdot (\\frac{7}{21} + 21) \\cdot (1\\frac{2}{10} + 1\\frac{5}{13} + (-20))",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.93, bodu=148, $$\frac{14}{15} \cdot 3\frac{3}{8} + \frac{-19}{16 - 2\frac{3}{5}}=\textcolor{white}{1\frac{981}{1340}}$$return {
["body"] = 148,
["id"] = "IScaVt_0728_0251",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 1.7320895522388,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2321,
["jmenovatel"] = 1340 },
["render"] = "\\frac{2321}{1340}",
["typ"] = "cislo" },
["tex"] = "1\\frac{981}{1340}",
["x"] = 1,
["y"] = 981,
["z"] = 1340 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{14}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{15} \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "16 - 2\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{-19}{16 - 2\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{14}{15} \\cdot 3\\frac{3}{8} + \\frac{-19}{16 - 2\\frac{3}{5}}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.94, bodu=181, $$(18 - 1\frac{2}{6} \cdot 3\frac{4}{11}) \cdot 4\frac{3}{9} \cdot (17 - 12)=\textcolor{white}{292\frac{82}{99}}$$return {
["body"] = 181,
["id"] = "ZpIdS9_0728_0251",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = 292.82828282828,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28990,
["jmenovatel"] = 99 },
["render"] = "\\frac{28990}{99}",
["typ"] = "cislo" },
["tex"] = "292\\frac{82}{99}",
["x"] = 292,
["y"] = 82,
["z"] = 99 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 3\\frac{4}{11}",
["typ"] = "krat" },
["render"] = "18 - 1\\frac{2}{6} \\cdot 3\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "(18 - 1\\frac{2}{6} \\cdot 3\\frac{4}{11})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "17 - 12",
["typ"] = "minus" },
["render"] = "(17 - 12)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{9} \\cdot (17 - 12)",
["typ"] = "krat" },
["render"] = "(18 - 1\\frac{2}{6} \\cdot 3\\frac{4}{11}) \\cdot 4\\frac{3}{9} \\cdot (17 - 12)",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.95, bodu=183, $$(19 + 1\frac{4}{15} - (-12)) \cdot (\frac{10}{3\frac{1}{11}} \cdot -10 + 1\frac{4}{7})=\textcolor{white}{-993\frac{129}{595}}$$return {
["body"] = 183,
["id"] = "TUBanQ_0728_0251",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -993.21680672269,
["objekt"] = {
["hodnota"] = {
["citatel"] = -590964,
["jmenovatel"] = 595 },
["render"] = "\\frac{-1772892}{1785}",
["typ"] = "cislo" },
["tex"] = "-993\\frac{129}{595}",
["x"] = -993,
["y"] = 129,
["z"] = 595 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 15 },
["render"] = "1\\frac{4}{15}",
["typ"] = "cislo" },
["render"] = "19 + 1\\frac{4}{15}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "19 + 1\\frac{4}{15} - (-12)",
["typ"] = "minus" },
["render"] = "(19 + 1\\frac{4}{15} - (-12))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 34,
["jmenovatel"] = 11 },
["render"] = "3\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{11}} \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3\\frac{1}{11}} \\cdot -10 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(\\frac{10}{3\\frac{1}{11}} \\cdot -10 + 1\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "(19 + 1\\frac{4}{15} - (-12)) \\cdot (\\frac{10}{3\\frac{1}{11}} \\cdot -10 + 1\\frac{4}{7})",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.96, bodu=185, $$2\frac{4}{8} + \frac{6 + 4\frac{3}{9}}{11 \cdot \frac{1\frac{2}{7}}{-20}}=\textcolor{white}{-12\frac{67}{594}}$$return {
["body"] = 185,
["id"] = "Mit7fZ_0728_0251",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = -12.112794612795,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7195,
["jmenovatel"] = 594 },
["render"] = "\\frac{-7195}{594}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{67}{594}",
["x"] = -12,
["y"] = 67,
["z"] = 594 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.96",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "6 + 4\\frac{3}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7}}{-20}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{1\\frac{2}{7}}{-20}",
["typ"] = "krat" },
["render"] = "\\frac{6 + 4\\frac{3}{9}}{11 \\cdot \\frac{1\\frac{2}{7}}{-20}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{4}{8} + \\frac{6 + 4\\frac{3}{9}}{11 \\cdot \\frac{1\\frac{2}{7}}{-20}}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.97, bodu=154, $$1\frac{5}{9} + \frac{\frac{16}{18}}{10 \cdot -16 - 1\frac{1}{5}}=\textcolor{white}{1\frac{665}{1209}}$$return {
["body"] = 154,
["id"] = "2gZ9eb_0728_0251",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 1.550041356493,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1874,
["jmenovatel"] = 1209 },
["render"] = "\\frac{50598}{32643}",
["typ"] = "cislo" },
["tex"] = "1\\frac{665}{1209}",
["x"] = 1,
["y"] = 665,
["z"] = 1209 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{16}{18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "10 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 \\cdot -16 - 1\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{16}{18}}{10 \\cdot -16 - 1\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{9} + \\frac{\\frac{16}{18}}{10 \\cdot -16 - 1\\frac{1}{5}}",
["typ"] = "plus" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.98, bodu=188, $$\frac{\frac{-10}{3\frac{4}{14}}}{2\frac{4}{11}} \cdot 17 \cdot 3\frac{5}{10}=\textcolor{white}{-76\frac{367}{598}}$$return {
["body"] = 188,
["id"] = "aEhyLn_0728_0251",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -76.613712374582,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45815,
["jmenovatel"] = 598 },
["render"] = "\\frac{-45815}{598}",
["typ"] = "cislo" },
["tex"] = "-76\\frac{367}{598}",
["x"] = -76,
["y"] = 367,
["z"] = 598 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{3\\frac{4}{14}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{3\\frac{4}{14}}}{2\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{3\\frac{4}{14}}}{2\\frac{4}{11}} \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{3\\frac{4}{14}}}{2\\frac{4}{11}} \\cdot 17 \\cdot 3\\frac{5}{10}",
["typ"] = "krat" } }
seed: SeeYLwP2aBqsSgk5wjdU_0.99, bodu=214, $$(-12 + (-17))^2 \cdot (\frac{7}{15} + 1\frac{1}{7} \cdot 1\frac{5}{6})=\textcolor{white}{2154\frac{59}{105}}$$return {
["body"] = 214,
["id"] = "zZUNP3_0728_0251",
["obtiznost"] = 1.7268,
["reseni"] = {
["float"] = 2154.5619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 226229,
["jmenovatel"] = 105 },
["render"] = "\\frac{226229}{105}",
["typ"] = "cislo" },
["tex"] = "2154\\frac{59}{105}",
["x"] = 2154,
["y"] = 59,
["z"] = 105 },
["seed"] = "SeeYLwP2aBqsSgk5wjdU_0.99",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-12 + (-17)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-12 + (-17))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{7}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} \\cdot 1\\frac{5}{6}",
["typ"] = "krat" },
["render"] = "\\frac{7}{15} + 1\\frac{1}{7} \\cdot 1\\frac{5}{6}",
["typ"] = "plus" },
["render"] = "(\\frac{7}{15} + 1\\frac{1}{7} \\cdot 1\\frac{5}{6})",
["typ"] = "zavorka" },
["render"] = "(-12 + (-17))^2 \\cdot (\\frac{7}{15} + 1\\frac{1}{7} \\cdot 1\\frac{5}{6})",
["typ"] = "krat" } }
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