- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: OfzIHnd1vuGS5qgB7hGE_0, bodu=5, $$(9 - 4 - 5) \cdot 7=\textcolor{white}{0}$$return {
["body"] = 5,
["id"] = "TgilnU_0329_0117",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 - 4 - 5",
["typ"] = "minus" },
["render"] = "(9 - 4 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(9 - 4 - 5) \\cdot 7",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.01, bodu=11, $$(\frac{6 - (8 + 5)}{8})^2=\textcolor{white}{\frac{49}{64}}$$return {
["body"] = 11,
["id"] = "LBEXkI_0329_0117",
["obtiznost"] = 0.0552,
["reseni"] = {
["float"] = 0.765625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 64 },
["render"] = "\\frac{49}{64}",
["typ"] = "cislo" },
["tex"] = "\\frac{49}{64}",
["y"] = 49,
["z"] = 64 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.01",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["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"] = "6 - (8 + 5)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6 - (8 + 5)}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6 - (8 + 5)}{8})^2",
["typ"] = "mocnina" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.02, bodu=15, $$\frac{(\frac{6}{8})^4}{5}=\textcolor{white}{\frac{81}{1280}}$$return {
["body"] = 15,
["id"] = "3olJg7_0329_0117",
["obtiznost"] = 0.1548,
["reseni"] = {
["float"] = 0.06328125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 1280 },
["render"] = "\\frac{81}{1280}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{1280}",
["y"] = 81,
["z"] = 1280 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.02",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{6}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{6}{8})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{6}{8})^4}{5}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.03, bodu=10, $$\frac{4 \cdot 8}{-9}=\textcolor{white}{-3\frac{5}{9}}$$return {
["body"] = 10,
["id"] = "jczWQ3_0329_0117",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = -3.5555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32,
["jmenovatel"] = 9 },
["render"] = "\\frac{32}{-9}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{5}{9}",
["x"] = -3,
["y"] = 5,
["z"] = 9 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot 8}{-9}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.04, bodu=20, $$6 - \frac{10 + 3\frac{5}{6}}{7}=\textcolor{white}{4\frac{1}{42}}$$return {
["body"] = 20,
["id"] = "SSZVUL_0329_0117",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 4.0238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 42 },
["render"] = "\\frac{169}{42}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{42}",
["x"] = 4,
["y"] = 1,
["z"] = 42 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "10 + 3\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10 + 3\\frac{5}{6}}{7}",
["typ"] = "lomeno" },
["render"] = "6 - \\frac{10 + 3\\frac{5}{6}}{7}",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.05, bodu=11, $$\frac{11}{-9 \cdot (-10 - (-6))}=\textcolor{white}{\frac{11}{36}}$$return {
["body"] = 11,
["id"] = "RScVy6_0329_0117",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 0.30555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 36 },
["render"] = "\\frac{11}{36}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{36}",
["y"] = 11,
["z"] = 36 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-10 - (-6)",
["typ"] = "minus" },
["render"] = "(-10 - (-6))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (-10 - (-6))",
["typ"] = "krat" },
["render"] = "\\frac{11}{-9 \\cdot (-10 - (-6))}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.06, bodu=21, $$6 \cdot 4\frac{3}{4} \cdot -7=\textcolor{white}{-199{,}5}$$return {
["body"] = 21,
["id"] = "aLqQyX_0329_0117",
["obtiznost"] = 0.26,
["reseni"] = {
["float"] = -199.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -399,
["jmenovatel"] = 2 },
["render"] = "\\frac{-399}{2}",
["typ"] = "cislo" },
["tex"] = "-199\\frac{1}{2}",
["tex_float"] = "-199{,}5",
["x"] = -199,
["y"] = 1,
["z"] = 2 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.06",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{3}{4}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{3}{4} \\cdot -7",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.07, bodu=5, $$((8 - 9)^4 - 4) \cdot 2=\textcolor{white}{-6}$$return {
["body"] = 5,
["id"] = "cKh3yM_0329_0117",
["obtiznost"] = 0.0708,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "\\frac{-6}{1}",
["typ"] = "cislo" },
["tex"] = "-6",
["x"] = -6 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 9)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(8 - 9)^4 - 4",
["typ"] = "minus" },
["render"] = "((8 - 9)^4 - 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "((8 - 9)^4 - 4) \\cdot 2",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.08, bodu=12, $$7 + \frac{10 + 7}{7}=\textcolor{white}{9\frac{3}{7}}$$return {
["body"] = 12,
["id"] = "kyGcuo_0329_0117",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 9.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 66,
["jmenovatel"] = 7 },
["render"] = "\\frac{66}{7}",
["typ"] = "cislo" },
["tex"] = "9\\frac{3}{7}",
["x"] = 9,
["y"] = 3,
["z"] = 7 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10 + 7}{7}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{10 + 7}{7}",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.09, bodu=12, $$\frac{8}{-7 \cdot -10}=\textcolor{white}{\frac{4}{35}}$$return {
["body"] = 12,
["id"] = "DSDFJQ_0329_0117",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 0.11428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 35 },
["render"] = "\\frac{8}{70}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{35}",
["y"] = 4,
["z"] = 35 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10",
["typ"] = "krat" },
["render"] = "\\frac{8}{-7 \\cdot -10}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.1, bodu=12, $$(\frac{3}{3})^3 \cdot 6=\textcolor{white}{6}$$return {
["body"] = 12,
["id"] = "D6OrYA_0329_0117",
["obtiznost"] = 0.1008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{6}{1}",
["typ"] = "cislo" },
["tex"] = "6",
["x"] = 6 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.1",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{3}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{3}{3})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{3}{3})^3 \\cdot 6",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.11, bodu=6, $$10 - 9 - 2 \cdot 7=\textcolor{white}{-13}$$return {
["body"] = 6,
["id"] = "L7D29j_0329_0117",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13}{1}",
["typ"] = "cislo" },
["tex"] = "-13",
["x"] = -13 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 - 9",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2 \\cdot 7",
["typ"] = "krat" },
["render"] = "10 - 9 - 2 \\cdot 7",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.12, bodu=6, $$9 \cdot 5 - (-6 - 4)=\textcolor{white}{55}$$return {
["body"] = 6,
["id"] = "9WBWzX_0329_0117",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 1 },
["render"] = "\\frac{55}{1}",
["typ"] = "cislo" },
["tex"] = "55",
["tex_float"] = "55",
["x"] = 55 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.12",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["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" },
["render"] = "9 \\cdot 5 - (-6 - 4)",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.13, bodu=27, $$6 \cdot 2\frac{3}{6} \cdot 5=\textcolor{white}{75}$$return {
["body"] = 27,
["id"] = "LxD2Sk_0329_0117",
["obtiznost"] = 0.33,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 75,
["jmenovatel"] = 1 },
["render"] = "\\frac{150}{2}",
["typ"] = "cislo" },
["tex"] = "75",
["tex_float"] = "75",
["x"] = 75 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} \\cdot 5",
["typ"] = "krat" },
["render"] = "6 \\cdot 2\\frac{3}{6} \\cdot 5",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.14, bodu=19, $$\frac{(6 - (-9))^2}{7 + 3}=\textcolor{white}{22{,}5}$$return {
["body"] = 19,
["id"] = "Gg07mV_0329_0117",
["obtiznost"] = 0.2304,
["reseni"] = {
["float"] = 22.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 2 },
["render"] = "\\frac{225}{10}",
["typ"] = "cislo" },
["tex"] = "22\\frac{1}{2}",
["tex_float"] = "22{,}5",
["x"] = 22,
["y"] = 1,
["z"] = 2 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.14",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "6 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - (-9))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 + 3",
["typ"] = "plus" },
["render"] = "\\frac{(6 - (-9))^2}{7 + 3}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.15, bodu=19, $$(9 - 5 \cdot 9 + 8)^2=\textcolor{white}{784}$$return {
["body"] = 19,
["id"] = "E9NASr_0329_0117",
["obtiznost"] = 0.464,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 784,
["jmenovatel"] = 1 },
["render"] = "\\frac{784}{1}",
["typ"] = "cislo" },
["tex"] = "784",
["tex_float"] = "784",
["x"] = 784 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.15",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 9",
["typ"] = "krat" },
["render"] = "9 - 5 \\cdot 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 5 \\cdot 9 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 - 5 \\cdot 9 + 8)^2",
["typ"] = "mocnina" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.16, bodu=19, $$(\frac{\frac{(-3 - 9)^2}{8}}{-9})^2=\textcolor{white}{4}$$return {
["body"] = 19,
["id"] = "qgNouj_0329_0117",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{4}{1}",
["typ"] = "cislo" },
["tex"] = "4",
["tex_float"] = "4",
["x"] = 4 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.16",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-3 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-3 - 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(-3 - 9)^2}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(-3 - 9)^2}{8}}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{(-3 - 9)^2}{8}}{-9})^2",
["typ"] = "mocnina" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.17, bodu=16, $$\frac{6}{12} \cdot 7=\textcolor{white}{3{,}5}$$return {
["body"] = 16,
["id"] = "uwefNG_0329_0117",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 3.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "\\frac{7}{2}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{2}",
["tex_float"] = "3{,}5",
["x"] = 3,
["y"] = 1,
["z"] = 2 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{6}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{12} \\cdot 7",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.18, bodu=16, $$\frac{11}{6} \cdot 7=\textcolor{white}{12\frac{5}{6}}$$return {
["body"] = 16,
["id"] = "Gyk6iv_0329_0117",
["obtiznost"] = 0.18,
["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"] = "OfzIHnd1vuGS5qgB7hGE_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11}{6} \\cdot 7",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.19, bodu=17, $$\frac{7}{5 + (-6 + 11)}=\textcolor{white}{0{,}7}$$return {
["body"] = 17,
["id"] = "fWb5Yu_0329_0117",
["obtiznost"] = 0.19,
["reseni"] = {
["float"] = 0.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 10 },
["render"] = "\\frac{7}{10}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{10}",
["tex_float"] = "0{,}7",
["y"] = 7,
["z"] = 10 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.19",
["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"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-6 + 11",
["typ"] = "plus" },
["render"] = "5 + (-6 + 11)",
["typ"] = "plus" },
["render"] = "\\frac{7}{5 + (-6 + 11)}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.2, bodu=85, $$(6 \cdot 1\frac{3}{6})^3 - \frac{8}{2\frac{5}{10}}=\textcolor{white}{725{,}8}$$return {
["body"] = 85,
["id"] = "o0GZND_0329_0117",
["obtiznost"] = 0.892,
["reseni"] = {
["float"] = 725.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3629,
["jmenovatel"] = 5 },
["render"] = "\\frac{3629}{5}",
["typ"] = "cislo" },
["tex"] = "725\\frac{4}{5}",
["tex_float"] = "725{,}8",
["x"] = 725,
["y"] = 4,
["z"] = 5 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 1\\frac{3}{6}",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(6 \\cdot 1\\frac{3}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{2\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "(6 \\cdot 1\\frac{3}{6})^3 - \\frac{8}{2\\frac{5}{10}}",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.21, bodu=9, $$((9 - 8)^4 - 8)^2 + 7 - 3=\textcolor{white}{53}$$return {
["body"] = 9,
["id"] = "nih6Lv_0329_0117",
["obtiznost"] = 0.2308,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 1 },
["render"] = "\\frac{53}{1}",
["typ"] = "cislo" },
["tex"] = "53",
["tex_float"] = "53",
["x"] = 53 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.21",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(9 - 8)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(9 - 8)^4 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "((9 - 8)^4 - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 - 3",
["typ"] = "minus" },
["render"] = "((9 - 8)^4 - 8)^2 + 7 - 3",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.22, bodu=34, $$12 - \frac{-8}{\frac{2\frac{1}{2}}{7}}=\textcolor{white}{34{,}4}$$return {
["body"] = 34,
["id"] = "ugSZhm_0329_0117",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 34.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 172,
["jmenovatel"] = 5 },
["render"] = "\\frac{172}{5}",
["typ"] = "cislo" },
["tex"] = "34\\frac{2}{5}",
["tex_float"] = "34{,}4",
["x"] = 34,
["y"] = 2,
["z"] = 5 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.22",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{2}}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{-8}{\\frac{2\\frac{1}{2}}{7}}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{-8}{\\frac{2\\frac{1}{2}}{7}}",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.23, bodu=19, $$\frac{-7 - 8}{7 - 6}=\textcolor{white}{-15}$$return {
["body"] = 19,
["id"] = "nWkqIg_0329_0117",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "\\frac{-15}{1}",
["typ"] = "cislo" },
["tex"] = "-15",
["tex_float"] = "-15",
["x"] = -15 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-7 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 - 6",
["typ"] = "minus" },
["render"] = "\\frac{-7 - 8}{7 - 6}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.24, bodu=36, $$\frac{5}{-13} \cdot \frac{11}{3\frac{5}{11}}=\textcolor{white}{-1\frac{111}{494}}$$return {
["body"] = 36,
["id"] = "9kEkNy_0329_0117",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -1.2246963562753,
["objekt"] = {
["hodnota"] = {
["citatel"] = -605,
["jmenovatel"] = 494 },
["render"] = "\\frac{-605}{494}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{111}{494}",
["x"] = -1,
["y"] = 111,
["z"] = 494 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{5}{-13} \\cdot \\frac{11}{3\\frac{5}{11}}",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.25, bodu=37, $$-8 - 6 + 7 + 1\frac{1}{4} - 7=\textcolor{white}{-12{,}75}$$return {
["body"] = 37,
["id"] = "n71Wng_0329_0117",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = -12.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -51,
["jmenovatel"] = 4 },
["render"] = "\\frac{-51}{4}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{3}{4}",
["tex_float"] = "-12{,}75",
["x"] = -12,
["y"] = 3,
["z"] = 4 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 - 6 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{4} - 7",
["typ"] = "minus" },
["render"] = "-8 - 6 + 7 + 1\\frac{1}{4} - 7",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.26, bodu=38, $$\frac{9 \cdot 7 + 9}{2\frac{2}{4}}=\textcolor{white}{28{,}8}$$return {
["body"] = 38,
["id"] = "OU0SyM_0329_0117",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 28.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 144,
["jmenovatel"] = 5 },
["render"] = "\\frac{144}{5}",
["typ"] = "cislo" },
["tex"] = "28\\frac{4}{5}",
["tex_float"] = "28{,}8",
["x"] = 28,
["y"] = 4,
["z"] = 5 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 7 + 9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 7 + 9}{2\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.27, bodu=13, $$(8 - 7 - (-10))^2 \cdot (-14 - 8)=\textcolor{white}{-2662}$$return {
["body"] = 13,
["id"] = "X3xyGy_0329_0117",
["obtiznost"] = 0.3188,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2662,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2662}{1}",
["typ"] = "cislo" },
["tex"] = "-2662",
["x"] = -2662 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.27",
["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"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "8 - 7 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(8 - 7 - (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-14 - 8",
["typ"] = "minus" },
["render"] = "(-14 - 8)",
["typ"] = "zavorka" },
["render"] = "(8 - 7 - (-10))^2 \\cdot (-14 - 8)",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.28, bodu=31, $$(6 - \frac{10}{7} \cdot 7)^4=\textcolor{white}{256}$$return {
["body"] = 31,
["id"] = "eXsaPM_0329_0117",
["obtiznost"] = 0.3828,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["x"] = 256 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.28",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7} \\cdot 7",
["typ"] = "krat" },
["render"] = "6 - \\frac{10}{7} \\cdot 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(6 - \\frac{10}{7} \\cdot 7)^4",
["typ"] = "mocnina" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.29, bodu=12, $$8 + 3 \cdot 10 \cdot 8=\textcolor{white}{248}$$return {
["body"] = 12,
["id"] = "N0najh_0329_0117",
["obtiznost"] = 0.29,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 248,
["jmenovatel"] = 1 },
["render"] = "\\frac{248}{1}",
["typ"] = "cislo" },
["tex"] = "248",
["x"] = 248 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8",
["typ"] = "krat" },
["render"] = "3 \\cdot 10 \\cdot 8",
["typ"] = "krat" },
["render"] = "8 + 3 \\cdot 10 \\cdot 8",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.3, bodu=24, $$(\frac{9}{-9} - 12) \cdot -10=\textcolor{white}{130}$$return {
["body"] = 24,
["id"] = "v7fbbO_0329_0117",
["obtiznost"] = 0.3,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 130,
["jmenovatel"] = 1 },
["render"] = "\\frac{130}{1}",
["typ"] = "cislo" },
["tex"] = "130",
["x"] = 130 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.3",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-9} - 12",
["typ"] = "minus" },
["render"] = "(\\frac{9}{-9} - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{9}{-9} - 12) \\cdot -10",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.31, bodu=62, $$\frac{\frac{(\frac{4\frac{4}{8}}{10})^2}{-7}}{6}=\textcolor{white}{-\frac{27}{5600}}$$return {
["body"] = 62,
["id"] = "srRsEZ_0329_0117",
["obtiznost"] = 0.7024,
["reseni"] = {
["float"] = -0.0048214285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 5600 },
["render"] = "\\frac{-81}{16800}",
["typ"] = "cislo" },
["tex"] = "-\\frac{27}{5600}",
["y"] = -27,
["z"] = 5600 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8}}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{4}{8}}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{4\\frac{4}{8}}{10})^2}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{(\\frac{4\\frac{4}{8}}{10})^2}{-7}}{6}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.32, bodu=16, $$-3 \cdot -10 \cdot (10 - 4)^3=\textcolor{white}{6480}$$return {
["body"] = 16,
["id"] = "G2rxdA_0329_0117",
["obtiznost"] = 0.4068,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6480,
["jmenovatel"] = 1 },
["render"] = "\\frac{6480}{1}",
["typ"] = "cislo" },
["tex"] = "6480",
["x"] = 6480 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-3 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 - 4",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 4)^3",
["typ"] = "mocnina" },
["render"] = "-3 \\cdot -10 \\cdot (10 - 4)^3",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.33, bodu=66, $$9 - (2\frac{3}{4} \cdot -8 - 2\frac{5}{11})=\textcolor{white}{33\frac{5}{11}}$$return {
["body"] = 66,
["id"] = "UM4e2O_0329_0117",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 33.454545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 368,
["jmenovatel"] = 11 },
["render"] = "\\frac{368}{11}",
["typ"] = "cislo" },
["tex"] = "33\\frac{5}{11}",
["x"] = 33,
["y"] = 5,
["z"] = 11 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{4} \\cdot -8 - 2\\frac{5}{11}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{4} \\cdot -8 - 2\\frac{5}{11})",
["typ"] = "zavorka" },
["render"] = "9 - (2\\frac{3}{4} \\cdot -8 - 2\\frac{5}{11})",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.34, bodu=27, $$\frac{11}{-12} \cdot 11 + 5=\textcolor{white}{-5\frac{1}{12}}$$return {
["body"] = 27,
["id"] = "pVqZmX_0329_0117",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -5.0833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -61,
["jmenovatel"] = 12 },
["render"] = "\\frac{-61}{12}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{1}{12}",
["x"] = -5,
["y"] = 1,
["z"] = 12 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-12} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-12} \\cdot 11 + 5",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.35, bodu=32, $$-5 - (5 \cdot (\frac{8}{8})^2)^3=\textcolor{white}{-130}$$return {
["body"] = 32,
["id"] = "OCFOnH_0329_0117",
["obtiznost"] = 0.4012,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -130,
["jmenovatel"] = 1 },
["render"] = "\\frac{-130}{1}",
["typ"] = "cislo" },
["tex"] = "-130",
["x"] = -130 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{8})^2",
["typ"] = "mocnina" },
["render"] = "5 \\cdot (\\frac{8}{8})^2",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(5 \\cdot (\\frac{8}{8})^2)^3",
["typ"] = "mocnina" },
["render"] = "-5 - (5 \\cdot (\\frac{8}{8})^2)^3",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.36, bodu=47, $$13 \cdot (-10 + 10)^2 \cdot 2\frac{2}{8}=\textcolor{white}{0}$$return {
["body"] = 47,
["id"] = "PAxY1g_0329_0117",
["obtiznost"] = 0.5604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{4}",
["typ"] = "cislo" },
["tex"] = "0",
["tex_float"] = "0",
["x"] = 0 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-10 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-10 + 10)^2",
["typ"] = "mocnina" },
["render"] = "13 \\cdot (-10 + 10)^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "13 \\cdot (-10 + 10)^2 \\cdot 2\\frac{2}{8}",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.37, bodu=30, $$10 \cdot (-13 + \frac{7}{-10})=\textcolor{white}{-137}$$return {
["body"] = 30,
["id"] = "4mlUv4_0329_0117",
["obtiznost"] = 0.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -137,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1370}{10}",
["typ"] = "cislo" },
["tex"] = "-137",
["x"] = -137 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.37",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-10}",
["typ"] = "lomeno" },
["render"] = "-13 + \\frac{7}{-10}",
["typ"] = "plus" },
["render"] = "(-13 + \\frac{7}{-10})",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (-13 + \\frac{7}{-10})",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.38, bodu=71, $$10 + \frac{1\frac{4}{9}}{-4 + 2\frac{5}{10}} - 12=\textcolor{white}{-2\frac{26}{27}}$$return {
["body"] = 71,
["id"] = "SG7HJf_0329_0117",
["obtiznost"] = 0.78,
["reseni"] = {
["float"] = -2.962962962963,
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 27 },
["render"] = "\\frac{-80}{27}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{26}{27}",
["x"] = -2,
["y"] = 26,
["z"] = 27 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-4 + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{9}}{-4 + 2\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{-4 + 2\\frac{5}{10}} - 12",
["typ"] = "minus" },
["render"] = "10 + \\frac{1\\frac{4}{9}}{-4 + 2\\frac{5}{10}} - 12",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.39, bodu=31, $$\frac{-12 + (-6 \cdot -8 - (-9))}{12}=\textcolor{white}{3{,}75}$$return {
["body"] = 31,
["id"] = "DTrk11_0329_0117",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 3.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "\\frac{45}{12}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{4}",
["tex_float"] = "3{,}75",
["x"] = 3,
["y"] = 3,
["z"] = 4 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-6 \\cdot -8 - (-9)",
["typ"] = "minus" },
["render"] = "-12 + (-6 \\cdot -8 - (-9))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-12 + (-6 \\cdot -8 - (-9))}{12}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.4, bodu=51, $$\frac{14}{-12} + 3\frac{5}{12} \cdot 8 + 14=\textcolor{white}{40\frac{1}{6}}$$return {
["body"] = 51,
["id"] = "VTqdpx_0329_0117",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 40.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 241,
["jmenovatel"] = 6 },
["render"] = "\\frac{723}{18}",
["typ"] = "cislo" },
["tex"] = "40\\frac{1}{6}",
["x"] = 40,
["y"] = 1,
["z"] = 6 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.4",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} \\cdot 8 + 14",
["typ"] = "plus" },
["render"] = "\\frac{14}{-12} + 3\\frac{5}{12} \\cdot 8 + 14",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.41, bodu=53, $$-11 \cdot 5 \cdot \frac{8}{(-5 + 13)^3}=\textcolor{white}{-\frac{55}{64}}$$return {
["body"] = 53,
["id"] = "MOhXXw_0329_0117",
["obtiznost"] = 0.6152,
["reseni"] = {
["float"] = -0.859375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 64 },
["render"] = "\\frac{-55}{64}",
["typ"] = "cislo" },
["tex"] = "-\\frac{55}{64}",
["y"] = -55,
["z"] = 64 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-5 + 13",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-5 + 13)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(-5 + 13)^3}",
["typ"] = "lomeno" },
["render"] = "-11 \\cdot 5 \\cdot \\frac{8}{(-5 + 13)^3}",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.42, bodu=17, $$6 \cdot (-13 + (-8)) \cdot (-8 - 14)=\textcolor{white}{2772}$$return {
["body"] = 17,
["id"] = "yPpDQo_0329_0117",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 2772,
["jmenovatel"] = 1 },
["render"] = "\\frac{2772}{1}",
["typ"] = "cislo" },
["tex"] = "2772",
["x"] = 2772 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-13 + (-8)",
["typ"] = "plus" },
["render"] = "(-13 + (-8))",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (-13 + (-8))",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 - 14",
["typ"] = "minus" },
["render"] = "(-8 - 14)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (-13 + (-8)) \\cdot (-8 - 14)",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.43, bodu=70, $$(\frac{10 + 8 - (-9 - (-7))^2}{3\frac{2}{3} + 8})^3=\textcolor{white}{1{,}728}$$return {
["body"] = 70,
["id"] = "IHpIIJ_0329_0117",
["obtiznost"] = 0.7684,
["reseni"] = {
["float"] = 1.728,
["objekt"] = {
["hodnota"] = {
["citatel"] = 216,
["jmenovatel"] = 125 },
["render"] = "\\frac{216}{125}",
["typ"] = "cislo" },
["tex"] = "1\\frac{91}{125}",
["tex_float"] = "1{,}728",
["x"] = 1,
["y"] = 91,
["z"] = 125 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.43",
["zadani"] = {
["c"] = {
["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"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(-9 - (-7))^2",
["typ"] = "mocnina" },
["render"] = "10 + 8 - (-9 - (-7))^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{3} + 8",
["typ"] = "plus" },
["render"] = "\\frac{10 + 8 - (-9 - (-7))^2}{3\\frac{2}{3} + 8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10 + 8 - (-9 - (-7))^2}{3\\frac{2}{3} + 8})^3",
["typ"] = "mocnina" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.44, bodu=72, $$(10 - \frac{12}{9}) \cdot (3\frac{5}{10} + (-13))^2=\textcolor{white}{782\frac{1}{6}}$$return {
["body"] = 72,
["id"] = "4P7oQ6_0329_0117",
["obtiznost"] = 0.786,
["reseni"] = {
["float"] = 782.16666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4693,
["jmenovatel"] = 6 },
["render"] = "\\frac{9386}{12}",
["typ"] = "cislo" },
["tex"] = "782\\frac{1}{6}",
["x"] = 782,
["y"] = 1,
["z"] = 6 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.44",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{12}{9}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{12}{9}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{12}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + (-13)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{5}{10} + (-13))^2",
["typ"] = "mocnina" },
["render"] = "(10 - \\frac{12}{9}) \\cdot (3\\frac{5}{10} + (-13))^2",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.45, bodu=59, $$\frac{9}{3\frac{3}{8} - (-15 + 13)^3} - (13 + (-7))^2=\textcolor{white}{-35\frac{19}{91}}$$return {
["body"] = 59,
["id"] = "PSGt4f_0329_0117",
["obtiznost"] = 0.6684,
["reseni"] = {
["float"] = -35.208791208791,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3204,
["jmenovatel"] = 91 },
["render"] = "\\frac{-3204}{91}",
["typ"] = "cislo" },
["tex"] = "-35\\frac{19}{91}",
["x"] = -35,
["y"] = 19,
["z"] = 91 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-15 + 13",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-15 + 13)^3",
["typ"] = "mocnina" },
["render"] = "3\\frac{3}{8} - (-15 + 13)^3",
["typ"] = "minus" },
["render"] = "\\frac{9}{3\\frac{3}{8} - (-15 + 13)^3}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "13 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + (-7))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{3\\frac{3}{8} - (-15 + 13)^3} - (13 + (-7))^2",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.46, bodu=38, $$\frac{12}{6 + (11 + (-15))^2} \cdot 13=\textcolor{white}{7\frac{1}{11}}$$return {
["body"] = 38,
["id"] = "C8GPh1_0329_0117",
["obtiznost"] = 0.4668,
["reseni"] = {
["float"] = 7.0909090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 78,
["jmenovatel"] = 11 },
["render"] = "\\frac{78}{11}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{11}",
["x"] = 7,
["y"] = 1,
["z"] = 11 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "11 + (-15)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + (-15))^2",
["typ"] = "mocnina" },
["render"] = "6 + (11 + (-15))^2",
["typ"] = "plus" },
["render"] = "\\frac{12}{6 + (11 + (-15))^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{12}{6 + (11 + (-15))^2} \\cdot 13",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.47, bodu=101, $$\frac{9}{(13 - 3\frac{2}{6})^2} - (-12 - 6)=\textcolor{white}{18\frac{81}{841}}$$return {
["body"] = 101,
["id"] = "VghIgI_0329_0117",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = 18.09631391201,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15219,
["jmenovatel"] = 841 },
["render"] = "\\frac{15219}{841}",
["typ"] = "cislo" },
["tex"] = "18\\frac{81}{841}",
["x"] = 18,
["y"] = 81,
["z"] = 841 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{2}{6}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(13 - 3\\frac{2}{6})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(13 - 3\\frac{2}{6})^2}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-12 - 6",
["typ"] = "minus" },
["render"] = "(-12 - 6)",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{(13 - 3\\frac{2}{6})^2} - (-12 - 6)",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.48, bodu=39, $$-17 - \frac{-14}{\frac{-8}{-11} + (-10)}=\textcolor{white}{-18\frac{26}{51}}$$return {
["body"] = 39,
["id"] = "uGWMCy_0329_0117",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -18.509803921569,
["objekt"] = {
["hodnota"] = {
["citatel"] = -944,
["jmenovatel"] = 51 },
["render"] = "\\frac{-944}{51}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{26}{51}",
["x"] = -18,
["y"] = 26,
["z"] = 51 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-11} + (-10)",
["typ"] = "plus" },
["render"] = "\\frac{-14}{\\frac{-8}{-11} + (-10)}",
["typ"] = "lomeno" },
["render"] = "-17 - \\frac{-14}{\\frac{-8}{-11} + (-10)}",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.49, bodu=61, $$\frac{\frac{-6 + (-9)}{-10}}{3\frac{5}{11} - (-11)}=\textcolor{white}{\frac{11}{106}}$$return {
["body"] = 61,
["id"] = "LtveMw_0329_0117",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 0.10377358490566,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 106 },
["render"] = "\\frac{33}{318}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{106}",
["y"] = 11,
["z"] = 106 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-6 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-6 + (-9)}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-6 + (-9)}{-10}}{3\\frac{5}{11} - (-11)}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.5, bodu=86, $$\frac{(9 \cdot 8 - 1\frac{4}{10}) \cdot 11}{2\frac{3}{4}}=\textcolor{white}{282{,}4}$$return {
["body"] = 86,
["id"] = "lYJYPB_0329_0117",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 282.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1412,
["jmenovatel"] = 5 },
["render"] = "\\frac{15532}{55}",
["typ"] = "cislo" },
["tex"] = "282\\frac{2}{5}",
["tex_float"] = "282{,}4",
["x"] = 282,
["y"] = 2,
["z"] = 5 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["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"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 8 - 1\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(9 \\cdot 8 - 1\\frac{4}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(9 \\cdot 8 - 1\\frac{4}{10}) \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{(9 \\cdot 8 - 1\\frac{4}{10}) \\cdot 11}{2\\frac{3}{4}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.51, bodu=115, $$\frac{3\frac{5}{9} \cdot (3\frac{1}{8} - 14)}{\frac{2\frac{5}{9}}{14}}=\textcolor{white}{-211\frac{19}{23}}$$return {
["body"] = 115,
["id"] = "j33lL8_0329_0117",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = -211.82608695652,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4872,
["jmenovatel"] = 23 },
["render"] = "\\frac{-14616}{69}",
["typ"] = "cislo" },
["tex"] = "-211\\frac{19}{23}",
["x"] = -211,
["y"] = 19,
["z"] = 23 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - 14",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - 14)",
["typ"] = "zavorka" },
["render"] = "3\\frac{5}{9} \\cdot (3\\frac{1}{8} - 14)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{9} \\cdot (3\\frac{1}{8} - 14)}{\\frac{2\\frac{5}{9}}{14}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.52, bodu=89, $$-5 \cdot \frac{2\frac{3}{5}}{3\frac{3}{8}} \cdot (11 - (-7))=\textcolor{white}{-69\frac{1}{3}}$$return {
["body"] = 89,
["id"] = "kyPqxE_0329_0117",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -69.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -208,
["jmenovatel"] = 3 },
["render"] = "\\frac{-1872}{27}",
["typ"] = "cislo" },
["tex"] = "-69\\frac{1}{3}",
["x"] = -69,
["y"] = 1,
["z"] = 3 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{5}}{3\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "-5 \\cdot \\frac{2\\frac{3}{5}}{3\\frac{3}{8}}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "11 - (-7)",
["typ"] = "minus" },
["render"] = "(11 - (-7))",
["typ"] = "zavorka" },
["render"] = "-5 \\cdot \\frac{2\\frac{3}{5}}{3\\frac{3}{8}} \\cdot (11 - (-7))",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.53, bodu=44, $$-13 \cdot (\frac{13}{-11 + 2} + (13 - 12)^3)=\textcolor{white}{5\frac{7}{9}}$$return {
["body"] = 44,
["id"] = "rCD0BE_0329_0117",
["obtiznost"] = 0.5308,
["reseni"] = {
["float"] = 5.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 52,
["jmenovatel"] = 9 },
["render"] = "\\frac{52}{9}",
["typ"] = "cislo" },
["tex"] = "5\\frac{7}{9}",
["x"] = 5,
["y"] = 7,
["z"] = 9 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-11 + 2",
["typ"] = "plus" },
["render"] = "\\frac{13}{-11 + 2}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "13 - 12",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(13 - 12)^3",
["typ"] = "mocnina" },
["render"] = "\\frac{13}{-11 + 2} + (13 - 12)^3",
["typ"] = "plus" },
["render"] = "(\\frac{13}{-11 + 2} + (13 - 12)^3)",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot (\\frac{13}{-11 + 2} + (13 - 12)^3)",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.54, bodu=73, $$(10 - 5)^3 - (8 - 2\frac{4}{10} \cdot -9)=\textcolor{white}{95{,}4}$$return {
["body"] = 73,
["id"] = "UIffqd_0329_0117",
["obtiznost"] = 0.7904,
["reseni"] = {
["float"] = 95.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 477,
["jmenovatel"] = 5 },
["render"] = "\\frac{477}{5}",
["typ"] = "cislo" },
["tex"] = "95\\frac{2}{5}",
["tex_float"] = "95{,}4",
["x"] = 95,
["y"] = 2,
["z"] = 5 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.54",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "10 - 5",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 5)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot -9",
["typ"] = "krat" },
["render"] = "8 - 2\\frac{4}{10} \\cdot -9",
["typ"] = "minus" },
["render"] = "(8 - 2\\frac{4}{10} \\cdot -9)",
["typ"] = "zavorka" },
["render"] = "(10 - 5)^3 - (8 - 2\\frac{4}{10} \\cdot -9)",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.55, bodu=78, $$-14 + (\frac{-6}{10})^4 - \frac{-16}{9}=\textcolor{white}{-12\frac{521}{5625}}$$return {
["body"] = 78,
["id"] = "FCaG06_0329_0117",
["obtiznost"] = 0.8324,
["reseni"] = {
["float"] = -12.092622222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = -68021,
["jmenovatel"] = 5625 },
["render"] = "\\frac{-68021}{5625}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{521}{5625}",
["x"] = -12,
["y"] = 521,
["z"] = 5625 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-6}{10})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{9}",
["typ"] = "lomeno" },
["render"] = "(\\frac{-6}{10})^4 - \\frac{-16}{9}",
["typ"] = "minus" },
["render"] = "-14 + (\\frac{-6}{10})^4 - \\frac{-16}{9}",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.56, bodu=51, $$\frac{-10}{12 \cdot (\frac{-16}{12})^3}=\textcolor{white}{\frac{45}{128}}$$return {
["body"] = 51,
["id"] = "UFZsCe_0329_0117",
["obtiznost"] = 0.5964,
["reseni"] = {
["float"] = 0.3515625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 128 },
["render"] = "\\frac{-90}{-256}",
["typ"] = "cislo" },
["tex"] = "\\frac{45}{128}",
["y"] = 45,
["z"] = 128 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.56",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-16}{12})^3",
["typ"] = "mocnina" },
["render"] = "12 \\cdot (\\frac{-16}{12})^3",
["typ"] = "krat" },
["render"] = "\\frac{-10}{12 \\cdot (\\frac{-16}{12})^3}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.57, bodu=96, $$\frac{(-6 + 9)^2}{-8} \cdot 4\frac{1}{4} \cdot 4\frac{4}{11}=\textcolor{white}{-20\frac{19}{22}}$$return {
["body"] = 96,
["id"] = "R9eCgT_0329_0117",
["obtiznost"] = 0.974,
["reseni"] = {
["float"] = -20.863636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -459,
["jmenovatel"] = 22 },
["render"] = "\\frac{-1836}{88}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{19}{22}",
["x"] = -20,
["y"] = 19,
["z"] = 22 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-6 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-6 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{(-6 + 9)^2}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot 4\\frac{4}{11}",
["typ"] = "krat" },
["render"] = "\\frac{(-6 + 9)^2}{-8} \\cdot 4\\frac{1}{4} \\cdot 4\\frac{4}{11}",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.58, bodu=97, $$\frac{\frac{\frac{1\frac{3}{8}}{15}}{-7}}{1\frac{2}{10}}=\textcolor{white}{-\frac{11}{1008}}$$return {
["body"] = 97,
["id"] = "Kh3QSP_0329_0117",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -0.010912698412698,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1008 },
["render"] = "\\frac{-55}{5040}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{1008}",
["y"] = -11,
["z"] = 1008 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{8}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{3}{8}}{15}}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{1\\frac{3}{8}}{15}}{-7}}{1\\frac{2}{10}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.59, bodu=98, $$\frac{\frac{-13}{2\frac{1}{5}}}{\frac{1\frac{4}{9}}{11}}=\textcolor{white}{-45}$$return {
["body"] = 98,
["id"] = "NX4eYq_0329_0117",
["obtiznost"] = 0.99,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -45,
["jmenovatel"] = 1 },
["render"] = "\\frac{-6435}{143}",
["typ"] = "cislo" },
["tex"] = "-45",
["tex_float"] = "-45",
["x"] = -45 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{-13}{2\\frac{1}{5}}}{\\frac{1\\frac{4}{9}}{11}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.6, bodu=100, $$12 - (10 + \frac{3\frac{2}{7} + 13 + 4\frac{3}{7}}{8 + 4})=\textcolor{white}{\frac{23}{84}}$$return {
["body"] = 100,
["id"] = "SgXoWN_0329_0117",
["obtiznost"] = 1,
["reseni"] = {
["float"] = 0.27380952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 84 },
["render"] = "\\frac{23}{84}",
["typ"] = "cislo" },
["tex"] = "\\frac{23}{84}",
["y"] = 23,
["z"] = 84 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "3\\frac{2}{7} + 13 + 4\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["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"] = "\\frac{3\\frac{2}{7} + 13 + 4\\frac{3}{7}}{8 + 4}",
["typ"] = "lomeno" },
["render"] = "10 + \\frac{3\\frac{2}{7} + 13 + 4\\frac{3}{7}}{8 + 4}",
["typ"] = "plus" },
["render"] = "(10 + \\frac{3\\frac{2}{7} + 13 + 4\\frac{3}{7}}{8 + 4})",
["typ"] = "zavorka" },
["render"] = "12 - (10 + \\frac{3\\frac{2}{7} + 13 + 4\\frac{3}{7}}{8 + 4})",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.61, bodu=73, $$13 + \frac{(-2 \cdot 4)^2}{(\frac{6}{19})^2}=\textcolor{white}{654\frac{7}{9}}$$return {
["body"] = 73,
["id"] = "CBxLNb_0329_0117",
["obtiznost"] = 0.7948,
["reseni"] = {
["float"] = 654.77777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5893,
["jmenovatel"] = 9 },
["render"] = "\\frac{5893}{9}",
["typ"] = "cislo" },
["tex"] = "654\\frac{7}{9}",
["x"] = 654,
["y"] = 7,
["z"] = 9 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-2 \\cdot 4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-2 \\cdot 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "\\frac{6}{19}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{19})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{(-2 \\cdot 4)^2}{(\\frac{6}{19})^2}",
["typ"] = "lomeno" },
["render"] = "13 + \\frac{(-2 \\cdot 4)^2}{(\\frac{6}{19})^2}",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.62, bodu=106, $$(\frac{-18}{-15})^2 \cdot (2\frac{3}{7} + 4\frac{3}{8} \cdot (11 + 3))=\textcolor{white}{91\frac{122}{175}}$$return {
["body"] = 106,
["id"] = "d2R51X_0329_0117",
["obtiznost"] = 1.0444,
["reseni"] = {
["float"] = 91.697142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16047,
["jmenovatel"] = 175 },
["render"] = "\\frac{64188}{700}",
["typ"] = "cislo" },
["tex"] = "91\\frac{122}{175}",
["x"] = 91,
["y"] = 122,
["z"] = 175 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.62",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{-15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-18}{-15})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "11 + 3",
["typ"] = "plus" },
["render"] = "(11 + 3)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{8} \\cdot (11 + 3)",
["typ"] = "krat" },
["render"] = "2\\frac{3}{7} + 4\\frac{3}{8} \\cdot (11 + 3)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} + 4\\frac{3}{8} \\cdot (11 + 3))",
["typ"] = "zavorka" },
["render"] = "(\\frac{-18}{-15})^2 \\cdot (2\\frac{3}{7} + 4\\frac{3}{8} \\cdot (11 + 3))",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.63, bodu=108, $$\frac{\frac{11}{1\frac{4}{6}} + 12 - (-11 + 14)^4}{3\frac{2}{4}}=\textcolor{white}{-17\frac{29}{35}}$$return {
["body"] = 108,
["id"] = "iRvz0x_0329_0117",
["obtiznost"] = 1.0628,
["reseni"] = {
["float"] = -17.828571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -624,
["jmenovatel"] = 35 },
["render"] = "\\frac{-624}{35}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{29}{35}",
["x"] = -17,
["y"] = 29,
["z"] = 35 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{1\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11}{1\\frac{4}{6}} + 12",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-11 + 14",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-11 + 14)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{11}{1\\frac{4}{6}} + 12 - (-11 + 14)^4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{1\\frac{4}{6}} + 12 - (-11 + 14)^4}{3\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.64, bodu=105, $$(11 - (10 + 1\frac{2}{4}) + (-14)) \cdot (10 - 3\frac{1}{5})=\textcolor{white}{-98{,}6}$$return {
["body"] = 105,
["id"] = "DER2XU_0329_0117",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = -98.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -493,
["jmenovatel"] = 5 },
["render"] = "\\frac{-986}{10}",
["typ"] = "cislo" },
["tex"] = "-98\\frac{3}{5}",
["tex_float"] = "-98{,}6",
["x"] = -98,
["y"] = 3,
["z"] = 5 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.64",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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 + 1\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(10 + 1\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "11 - (10 + 1\\frac{2}{4})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "11 - (10 + 1\\frac{2}{4}) + (-14)",
["typ"] = "plus" },
["render"] = "(11 - (10 + 1\\frac{2}{4}) + (-14))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 - 3\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(10 - 3\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "(11 - (10 + 1\\frac{2}{4}) + (-14)) \\cdot (10 - 3\\frac{1}{5})",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.65, bodu=80, $$\frac{-11 - \frac{7}{-8}}{\frac{2\frac{5}{9}}{-3}}=\textcolor{white}{11\frac{163}{184}}$$return {
["body"] = 80,
["id"] = "wl1b6p_0329_0117",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 11.885869565217,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2187,
["jmenovatel"] = 184 },
["render"] = "\\frac{-2187}{-184}",
["typ"] = "cislo" },
["tex"] = "11\\frac{163}{184}",
["x"] = 11,
["y"] = 163,
["z"] = 184 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-8}",
["typ"] = "lomeno" },
["render"] = "-11 - \\frac{7}{-8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{-3}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11 - \\frac{7}{-8}}{\\frac{2\\frac{5}{9}}{-3}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.66, bodu=108, $$(\frac{1\frac{3}{9}}{13} - \frac{18}{4\frac{5}{7}}) \cdot -17=\textcolor{white}{63\frac{71}{429}}$$return {
["body"] = 108,
["id"] = "HMm967_0329_0117",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 63.165501165501,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27098,
["jmenovatel"] = 429 },
["render"] = "\\frac{27098}{429}",
["typ"] = "cislo" },
["tex"] = "63\\frac{71}{429}",
["x"] = 63,
["y"] = 71,
["z"] = 429 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.66",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{4\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{3}{9}}{13} - \\frac{18}{4\\frac{5}{7}}",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{3}{9}}{13} - \\frac{18}{4\\frac{5}{7}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{3}{9}}{13} - \\frac{18}{4\\frac{5}{7}}) \\cdot -17",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.67, bodu=109, $$\frac{\frac{-9}{4\frac{4}{10}}}{\frac{12}{1\frac{4}{10}} - 15}=\textcolor{white}{\frac{7}{22}}$$return {
["body"] = 109,
["id"] = "1Wdkf8_0329_0117",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 0.31818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 22 },
["render"] = "\\frac{-315}{-990}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{22}",
["y"] = 7,
["z"] = 22 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{4\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{12}{1\\frac{4}{10}} - 15",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-9}{4\\frac{4}{10}}}{\\frac{12}{1\\frac{4}{10}} - 15}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.68, bodu=62, $$(\frac{10}{15})^3 - \frac{4}{11 - (-2)}=\textcolor{white}{-\frac{4}{351}}$$return {
["body"] = 62,
["id"] = "Q5oRr7_0329_0117",
["obtiznost"] = 0.694,
["reseni"] = {
["float"] = -0.011396011396011,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 351 },
["render"] = "\\frac{-4}{351}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{351}",
["y"] = -4,
["z"] = 351 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.68",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{10}{15}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{10}{15})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "11 - (-2)",
["typ"] = "minus" },
["render"] = "\\frac{4}{11 - (-2)}",
["typ"] = "lomeno" },
["render"] = "(\\frac{10}{15})^3 - \\frac{4}{11 - (-2)}",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.69, bodu=112, $$(12 - 3\frac{2}{12} \cdot 1\frac{2}{6}) \cdot \frac{-19}{-9}=\textcolor{white}{16\frac{34}{81}}$$return {
["body"] = 112,
["id"] = "fdSnNn_0329_0117",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 16.41975308642,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1330,
["jmenovatel"] = 81 },
["render"] = "\\frac{1330}{81}",
["typ"] = "cislo" },
["tex"] = "16\\frac{34}{81}",
["x"] = 16,
["y"] = 34,
["z"] = 81 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{12} \\cdot 1\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "12 - 3\\frac{2}{12} \\cdot 1\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(12 - 3\\frac{2}{12} \\cdot 1\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{-9}",
["typ"] = "lomeno" },
["render"] = "(12 - 3\\frac{2}{12} \\cdot 1\\frac{2}{6}) \\cdot \\frac{-19}{-9}",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.7, bodu=31, $$-10 \cdot (9 \cdot 13 - 8) \cdot -10=\textcolor{white}{10900}$$return {
["body"] = 31,
["id"] = "NLPI7k_0329_0117",
["obtiznost"] = 0.7,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10900,
["jmenovatel"] = 1 },
["render"] = "\\frac{10900}{1}",
["typ"] = "cislo" },
["tex"] = "10900",
["tex_float"] = "10900",
["x"] = 10900 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.7",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "9 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 \\cdot 13 - 8",
["typ"] = "minus" },
["render"] = "(9 \\cdot 13 - 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(9 \\cdot 13 - 8) \\cdot -10",
["typ"] = "krat" },
["render"] = "-10 \\cdot (9 \\cdot 13 - 8) \\cdot -10",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.71, bodu=115, $$\frac{4\frac{5}{12}}{\frac{\frac{17}{8}}{11}} \cdot 4\frac{1}{3}=\textcolor{white}{99\frac{11}{153}}$$return {
["body"] = 115,
["id"] = "QP72mk_0329_0117",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 99.071895424837,
["objekt"] = {
["hodnota"] = {
["citatel"] = 15158,
["jmenovatel"] = 153 },
["render"] = "\\frac{15158}{153}",
["typ"] = "cislo" },
["tex"] = "99\\frac{11}{153}",
["x"] = 99,
["y"] = 11,
["z"] = 153 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{17}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{17}{8}}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{12}}{\\frac{\\frac{17}{8}}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{\\frac{\\frac{17}{8}}{11}} \\cdot 4\\frac{1}{3}",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.72, bodu=146, $$\frac{2\frac{2}{8}}{\frac{-13}{3\frac{4}{9}} + \frac{-4}{3\frac{5}{12}} + (-13)}=\textcolor{white}{-\frac{11439}{91232}}$$return {
["body"] = 146,
["id"] = "gQsCf8_0329_0117",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = -0.12538363732024,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11439,
["jmenovatel"] = 91232 },
["render"] = "\\frac{11439}{-91232}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11439}{91232}",
["y"] = -11439,
["z"] = 91232 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{3\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{3\\frac{5}{12}} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{-13}{3\\frac{4}{9}} + \\frac{-4}{3\\frac{5}{12}} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{2\\frac{2}{8}}{\\frac{-13}{3\\frac{4}{9}} + \\frac{-4}{3\\frac{5}{12}} + (-13)}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.73, bodu=118, $$10 \cdot (\frac{1\frac{3}{9} + 4\frac{1}{7}}{-6} + 6 - 16)=\textcolor{white}{-109\frac{8}{63}}$$return {
["body"] = 118,
["id"] = "A5yfES_0329_0117",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -109.12698412698,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6875,
["jmenovatel"] = 63 },
["render"] = "\\frac{-13750}{126}",
["typ"] = "cislo" },
["tex"] = "-109\\frac{8}{63}",
["x"] = -109,
["y"] = 8,
["z"] = 63 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.73",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + 4\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9} + 4\\frac{1}{7}}{-6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "6 - 16",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{3}{9} + 4\\frac{1}{7}}{-6} + 6 - 16",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{3}{9} + 4\\frac{1}{7}}{-6} + 6 - 16)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (\\frac{1\\frac{3}{9} + 4\\frac{1}{7}}{-6} + 6 - 16)",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.74, bodu=181, $$\frac{\frac{1\frac{3}{6}}{2\frac{5}{12}} + 2\frac{5}{10}}{\frac{20}{-13} - 4\frac{3}{6}}=\textcolor{white}{-\frac{2353}{4553}}$$return {
["body"] = 181,
["id"] = "40FTna_0329_0117",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -0.51680210849989,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2353,
["jmenovatel"] = 4553 },
["render"] = "\\frac{4706}{-9106}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2353}{4553}",
["y"] = -2353,
["z"] = 4553 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{2\\frac{5}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{6}}{2\\frac{5}{12}} + 2\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{20}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{20}{-13} - 4\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{1\\frac{3}{6}}{2\\frac{5}{12}} + 2\\frac{5}{10}}{\\frac{20}{-13} - 4\\frac{3}{6}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.75, bodu=120, $$\frac{1\frac{5}{11}}{\frac{-10}{8 + \frac{-11}{3\frac{5}{8}}}}=\textcolor{white}{-\frac{1152}{1595}}$$return {
["body"] = 120,
["id"] = "O79M6k_0329_0117",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -0.72225705329154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1152,
["jmenovatel"] = 1595 },
["render"] = "\\frac{1152}{-1595}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1152}{1595}",
["y"] = -1152,
["z"] = 1595 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{3\\frac{5}{8}}",
["typ"] = "lomeno" },
["render"] = "8 + \\frac{-11}{3\\frac{5}{8}}",
["typ"] = "plus" },
["render"] = "\\frac{-10}{8 + \\frac{-11}{3\\frac{5}{8}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{5}{11}}{\\frac{-10}{8 + \\frac{-11}{3\\frac{5}{8}}}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.76, bodu=152, $$16 \cdot -15 - (17 - 3\frac{3}{12} - 3\frac{2}{4}) - 4\frac{1}{5}=\textcolor{white}{-254{,}45}$$return {
["body"] = 152,
["id"] = "6TJQQK_0329_0117",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -254.45,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5089,
["jmenovatel"] = 20 },
["render"] = "\\frac{-5089}{20}",
["typ"] = "cislo" },
["tex"] = "-254\\frac{9}{20}",
["tex_float"] = "-254{,}45",
["x"] = -254,
["y"] = 9,
["z"] = 20 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "16 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "17 - 3\\frac{3}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "17 - 3\\frac{3}{12} - 3\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(17 - 3\\frac{3}{12} - 3\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "16 \\cdot -15 - (17 - 3\\frac{3}{12} - 3\\frac{2}{4})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "16 \\cdot -15 - (17 - 3\\frac{3}{12} - 3\\frac{2}{4}) - 4\\frac{1}{5}",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.77, bodu=154, $$\frac{-14}{1\frac{4}{8}} - \frac{16 + 1\frac{2}{9} + 8}{4\frac{5}{7}}=\textcolor{white}{-14\frac{203}{297}}$$return {
["body"] = 154,
["id"] = "32FjCS_0329_0117",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -14.683501683502,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4361,
["jmenovatel"] = 297 },
["render"] = "\\frac{-13083}{891}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{203}{297}",
["x"] = -14,
["y"] = 203,
["z"] = 297 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{1\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{9} + 8",
["typ"] = "plus" },
["render"] = "16 + 1\\frac{2}{9} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{16 + 1\\frac{2}{9} + 8}{4\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{1\\frac{4}{8}} - \\frac{16 + 1\\frac{2}{9} + 8}{4\\frac{5}{7}}",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.78, bodu=155, $$\frac{\frac{3\frac{4}{10} + 1\frac{3}{7}}{-17 - 3\frac{1}{5}}}{-11 \cdot -14}=\textcolor{white}{-\frac{169}{108878}}$$return {
["body"] = 155,
["id"] = "e0xS62_0329_0117",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = -0.0015521960359301,
["objekt"] = {
["hodnota"] = {
["citatel"] = -169,
["jmenovatel"] = 108878 },
["render"] = "\\frac{-169}{108878}",
["typ"] = "cislo" },
["tex"] = "-\\frac{169}{108878}",
["y"] = -169,
["z"] = 108878 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + 1\\frac{3}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-17 - 3\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{4}{10} + 1\\frac{3}{7}}{-17 - 3\\frac{1}{5}}",
["typ"] = "lomeno" },
["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{\\frac{3\\frac{4}{10} + 1\\frac{3}{7}}{-17 - 3\\frac{1}{5}}}{-11 \\cdot -14}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.79, bodu=157, $$\frac{\frac{1\frac{5}{8} - 2\frac{4}{11}}{-16 \cdot -7}}{3\frac{2}{11}}=\textcolor{white}{-\frac{13}{6272}}$$return {
["body"] = 157,
["id"] = "7SVHop_0329_0117",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -0.0020727040816327,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 6272 },
["render"] = "\\frac{-715}{344960}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13}{6272}",
["y"] = -13,
["z"] = 6272 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{8} - 2\\frac{4}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-16 \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{8} - 2\\frac{4}{11}}{-16 \\cdot -7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 11 },
["render"] = "3\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{5}{8} - 2\\frac{4}{11}}{-16 \\cdot -7}}{3\\frac{2}{11}}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.8, bodu=159, $$2\frac{2}{3} + 8 - 3\frac{5}{13} + 21 - \frac{-22}{4\frac{2}{8}} + 14=\textcolor{white}{47\frac{304}{663}}$$return {
["body"] = 159,
["id"] = "lH21si_0329_0117",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 47.458521870287,
["objekt"] = {
["hodnota"] = {
["citatel"] = 31465,
["jmenovatel"] = 663 },
["render"] = "\\frac{31465}{663}",
["typ"] = "cislo" },
["tex"] = "47\\frac{304}{663}",
["x"] = 47,
["y"] = 304,
["z"] = 663 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{3} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 13 },
["render"] = "3\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{3} + 8 - 3\\frac{5}{13}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-22}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "21 - \\frac{-22}{4\\frac{2}{8}}",
["typ"] = "minus" },
["render"] = "2\\frac{2}{3} + 8 - 3\\frac{5}{13} + 21 - \\frac{-22}{4\\frac{2}{8}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{3} + 8 - 3\\frac{5}{13} + 21 - \\frac{-22}{4\\frac{2}{8}} + 14",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.81, bodu=282, $$(3\frac{1}{2} - 3\frac{3}{9} + \frac{3\frac{3}{12}}{2\frac{1}{6}})^4 \cdot (2\frac{4}{7} + (-6)) \cdot 5=\textcolor{white}{-132\frac{52}{189}}$$return {
["body"] = 282,
["id"] = "7b0rEV_0329_0117",
["obtiznost"] = 2.0924,
["reseni"] = {
["float"] = -132.27513227513,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25000,
["jmenovatel"] = 189 },
["render"] = "\\frac{-25000}{189}",
["typ"] = "cislo" },
["tex"] = "-132\\frac{52}{189}",
["x"] = -132,
["y"] = 52,
["z"] = 189 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{2} - 3\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{12}}{2\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{2} - 3\\frac{3}{9} + \\frac{3\\frac{3}{12}}{2\\frac{1}{6}}",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(3\\frac{1}{2} - 3\\frac{3}{9} + \\frac{3\\frac{3}{12}}{2\\frac{1}{6}})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} + (-6)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{7} + (-6))",
["typ"] = "zavorka" },
["render"] = "(3\\frac{1}{2} - 3\\frac{3}{9} + \\frac{3\\frac{3}{12}}{2\\frac{1}{6}})^4 \\cdot (2\\frac{4}{7} + (-6))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{2} - 3\\frac{3}{9} + \\frac{3\\frac{3}{12}}{2\\frac{1}{6}})^4 \\cdot (2\\frac{4}{7} + (-6)) \\cdot 5",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.82, bodu=131, $$\frac{\frac{1\frac{2}{8}}{1\frac{2}{5}}}{20 \cdot 16 - 10 \cdot -20}=\textcolor{white}{\frac{5}{2912}}$$return {
["body"] = 131,
["id"] = "DvUOdV_0329_0117",
["obtiznost"] = 1.22,
["reseni"] = {
["float"] = 0.001717032967033,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2912 },
["render"] = "\\frac{25}{14560}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{2912}",
["y"] = 5,
["z"] = 2912 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{8}}{1\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "20 \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "10 \\cdot -20",
["typ"] = "krat" },
["render"] = "20 \\cdot 16 - 10 \\cdot -20",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{1\\frac{2}{8}}{1\\frac{2}{5}}}{20 \\cdot 16 - 10 \\cdot -20}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.83, bodu=132, $$-8 + \frac{2\frac{3}{6} \cdot (4\frac{5}{9} - 10)}{-23} - 18=\textcolor{white}{-25\frac{169}{414}}$$return {
["body"] = 132,
["id"] = "k1Zx2f_0329_0117",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -25.408212560386,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10519,
["jmenovatel"] = 414 },
["render"] = "\\frac{-10519}{414}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{169}{414}",
["x"] = -25,
["y"] = 169,
["z"] = 414 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 10",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{9} - 10)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} \\cdot (4\\frac{5}{9} - 10)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6} \\cdot (4\\frac{5}{9} - 10)}{-23}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{2\\frac{3}{6} \\cdot (4\\frac{5}{9} - 10)}{-23}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-8 + \\frac{2\\frac{3}{6} \\cdot (4\\frac{5}{9} - 10)}{-23} - 18",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.84, bodu=134, $$-21 + (-12) - (18 + 3) - \frac{1\frac{4}{13}}{2\frac{2}{11} \cdot 18}=\textcolor{white}{-54\frac{187}{5616}}$$return {
["body"] = 134,
["id"] = "5L4L6E_0329_0117",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = -54.033297720798,
["objekt"] = {
["hodnota"] = {
["citatel"] = -303451,
["jmenovatel"] = 5616 },
["render"] = "\\frac{-303451}{5616}",
["typ"] = "cislo" },
["tex"] = "-54\\frac{187}{5616}",
["x"] = -54,
["y"] = 187,
["z"] = 5616 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-21 + (-12)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "18 + 3",
["typ"] = "plus" },
["render"] = "(18 + 3)",
["typ"] = "zavorka" },
["render"] = "-21 + (-12) - (18 + 3)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{11} \\cdot 18",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{4}{13}}{2\\frac{2}{11} \\cdot 18}",
["typ"] = "lomeno" },
["render"] = "-21 + (-12) - (18 + 3) - \\frac{1\\frac{4}{13}}{2\\frac{2}{11} \\cdot 18}",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.85, bodu=167, $$13 + (-13) + 5 \cdot (1\frac{2}{6} + \frac{3\frac{2}{12}}{7} - 4\frac{2}{4})=\textcolor{white}{-13\frac{4}{7}}$$return {
["body"] = 167,
["id"] = "ujDKfH_0329_0117",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = -13.571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -95,
["jmenovatel"] = 7 },
["render"] = "\\frac{-95}{7}",
["typ"] = "cislo" },
["tex"] = "-13\\frac{4}{7}",
["x"] = -13,
["y"] = 4,
["z"] = 7 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "13 + (-13)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{12}}{7}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7} - 4\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7} - 4\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "5 \\cdot (1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7} - 4\\frac{2}{4})",
["typ"] = "krat" },
["render"] = "13 + (-13) + 5 \\cdot (1\\frac{2}{6} + \\frac{3\\frac{2}{12}}{7} - 4\\frac{2}{4})",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.86, bodu=241, $$1\frac{3}{12} - (\frac{4}{(-20 - (-16))^4} + 3\frac{3}{9}) - (4\frac{4}{4} + 4\frac{3}{9})^2=\textcolor{white}{-89\frac{121}{576}}$$return {
["body"] = 241,
["id"] = "r2BqVZ_0329_0117",
["obtiznost"] = 1.88,
["reseni"] = {
["float"] = -89.210069444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -51385,
["jmenovatel"] = 576 },
["render"] = "\\frac{-154155}{1728}",
["typ"] = "cislo" },
["tex"] = "-89\\frac{121}{576}",
["x"] = -89,
["y"] = 121,
["z"] = 576 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-20 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-20 - (-16))^4",
["typ"] = "mocnina" },
["render"] = "\\frac{4}{(-20 - (-16))^4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{(-20 - (-16))^4} + 3\\frac{3}{9}",
["typ"] = "plus" },
["render"] = "(\\frac{4}{(-20 - (-16))^4} + 3\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{12} - (\\frac{4}{(-20 - (-16))^4} + 3\\frac{3}{9})",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{4} + 4\\frac{3}{9}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{4}{4} + 4\\frac{3}{9})^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{3}{12} - (\\frac{4}{(-20 - (-16))^4} + 3\\frac{3}{9}) - (4\\frac{4}{4} + 4\\frac{3}{9})^2",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.87, bodu=204, $$(3\frac{3}{5} + \frac{\frac{2\frac{1}{9}}{20}}{18 + 3\frac{1}{8}}) \cdot 4\frac{5}{6}=\textcolor{white}{17\frac{9677}{22815}}$$return {
["body"] = 204,
["id"] = "c7O8fl_0329_0117",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = 17.424150777997,
["objekt"] = {
["hodnota"] = {
["citatel"] = 397532,
["jmenovatel"] = 22815 },
["render"] = "\\frac{795064}{45630}",
["typ"] = "cislo" },
["tex"] = "17\\frac{9677}{22815}",
["x"] = 17,
["y"] = 9677,
["z"] = 22815 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{9}}{20}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "18 + 3\\frac{1}{8}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{2\\frac{1}{9}}{20}}{18 + 3\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{5} + \\frac{\\frac{2\\frac{1}{9}}{20}}{18 + 3\\frac{1}{8}}",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{5} + \\frac{\\frac{2\\frac{1}{9}}{20}}{18 + 3\\frac{1}{8}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{5} + \\frac{\\frac{2\\frac{1}{9}}{20}}{18 + 3\\frac{1}{8}}) \\cdot 4\\frac{5}{6}",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.88, bodu=279, $$\frac{4\frac{1}{9} \cdot 3\frac{2}{4}}{4\frac{2}{6} \cdot (2\frac{3}{4} - (2\frac{4}{14} - 3\frac{1}{5}))}=\textcolor{white}{\frac{18130}{20007}}$$return {
["body"] = 279,
["id"] = "MIk8eb_0329_0117",
["obtiznost"] = 2.08,
["reseni"] = {
["float"] = 0.9061828360074,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18130,
["jmenovatel"] = 20007 },
["render"] = "\\frac{36260}{40014}",
["typ"] = "cislo" },
["tex"] = "\\frac{18130}{20007}",
["y"] = 18130,
["z"] = 20007 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{14} - 3\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{14} - 3\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{4} - (2\\frac{4}{14} - 3\\frac{1}{5})",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{4} - (2\\frac{4}{14} - 3\\frac{1}{5}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{6} \\cdot (2\\frac{3}{4} - (2\\frac{4}{14} - 3\\frac{1}{5}))",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{9} \\cdot 3\\frac{2}{4}}{4\\frac{2}{6} \\cdot (2\\frac{3}{4} - (2\\frac{4}{14} - 3\\frac{1}{5}))}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.89, bodu=112, $$\frac{-14}{-12} \cdot (3 - 1\frac{4}{13} + 13 + 13 + 4)=\textcolor{white}{36\frac{38}{39}}$$return {
["body"] = 112,
["id"] = "jvRY9t_0329_0117",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 36.974358974359,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1442,
["jmenovatel"] = 39 },
["render"] = "\\frac{2884}{78}",
["typ"] = "cislo" },
["tex"] = "36\\frac{38}{39}",
["x"] = 36,
["y"] = 38,
["z"] = 39 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.89",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "3 - 1\\frac{4}{13}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "13 + 4",
["typ"] = "plus" },
["render"] = "13 + 13 + 4",
["typ"] = "plus" },
["render"] = "3 - 1\\frac{4}{13} + 13 + 13 + 4",
["typ"] = "plus" },
["render"] = "(3 - 1\\frac{4}{13} + 13 + 13 + 4)",
["typ"] = "zavorka" },
["render"] = "\\frac{-14}{-12} \\cdot (3 - 1\\frac{4}{13} + 13 + 13 + 4)",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.9, bodu=113, $$-22 + (-12) + (-15 \cdot 4\frac{5}{14} + (-9)) - (15 - (-17))=\textcolor{white}{-140\frac{5}{14}}$$return {
["body"] = 113,
["id"] = "gs8qVF_0329_0117",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -140.35714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1965,
["jmenovatel"] = 14 },
["render"] = "\\frac{-1965}{14}",
["typ"] = "cislo" },
["tex"] = "-140\\frac{5}{14}",
["x"] = -140,
["y"] = 5,
["z"] = 14 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-22 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 4\\frac{5}{14}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 4\\frac{5}{14} + (-9)",
["typ"] = "plus" },
["render"] = "-22 + (-12) + (-15 \\cdot 4\\frac{5}{14} + (-9))",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "15 - (-17)",
["typ"] = "minus" },
["render"] = "(15 - (-17))",
["typ"] = "zavorka" },
["render"] = "-22 + (-12) + (-15 \\cdot 4\\frac{5}{14} + (-9)) - (15 - (-17))",
["typ"] = "minus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.91, bodu=144, $$\frac{\frac{\frac{15}{3\frac{1}{6} \cdot 7}}{13}}{4\frac{4}{13} + (-13)}=\textcolor{white}{-\frac{90}{15029}}$$return {
["body"] = 144,
["id"] = "P6CkBP_0329_0117",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -0.0059884223833921,
["objekt"] = {
["hodnota"] = {
["citatel"] = -90,
["jmenovatel"] = 15029 },
["render"] = "\\frac{1170}{-195377}",
["typ"] = "cislo" },
["tex"] = "-\\frac{90}{15029}",
["y"] = -90,
["z"] = 15029 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{6} \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{15}{3\\frac{1}{6} \\cdot 7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{3\\frac{1}{6} \\cdot 7}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{13} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{\\frac{15}{3\\frac{1}{6} \\cdot 7}}{13}}{4\\frac{4}{13} + (-13)}",
["typ"] = "lomeno" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.92, bodu=197, $$(1\frac{1}{6} + 6 - ((12 - (-16))^2 + 3\frac{5}{10})) \cdot (8 - (20 + 10))=\textcolor{white}{17167\frac{1}{3}}$$return {
["body"] = 197,
["id"] = "9mqUPN_0329_0117",
["obtiznost"] = 1.634,
["reseni"] = {
["float"] = 17167.333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51502,
["jmenovatel"] = 3 },
["render"] = "\\frac{51502}{3}",
["typ"] = "cislo" },
["tex"] = "17167\\frac{1}{3}",
["x"] = 17167,
["y"] = 1,
["z"] = 3 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.92",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} + 6",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "12 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - (-16))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(12 - (-16))^2 + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "((12 - (-16))^2 + 3\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{6} + 6 - ((12 - (-16))^2 + 3\\frac{5}{10})",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{6} + 6 - ((12 - (-16))^2 + 3\\frac{5}{10}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "20 + 10",
["typ"] = "plus" },
["render"] = "(20 + 10)",
["typ"] = "zavorka" },
["render"] = "8 - (20 + 10)",
["typ"] = "minus" },
["render"] = "(8 - (20 + 10))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{1}{6} + 6 - ((12 - (-16))^2 + 3\\frac{5}{10})) \\cdot (8 - (20 + 10))",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.93, bodu=133, $$(\frac{20 \cdot 4}{6 \cdot 4\frac{4}{9}} - (19 + (-20)))^4=\textcolor{white}{256}$$return {
["body"] = 133,
["id"] = "o0SyOJ_0329_0117",
["obtiznost"] = 1.2328,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["tex_float"] = "256",
["x"] = 256 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.93",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "20 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4\\frac{4}{9}",
["typ"] = "krat" },
["render"] = "\\frac{20 \\cdot 4}{6 \\cdot 4\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "19 + (-20)",
["typ"] = "plus" },
["render"] = "(19 + (-20))",
["typ"] = "zavorka" },
["render"] = "\\frac{20 \\cdot 4}{6 \\cdot 4\\frac{4}{9}} - (19 + (-20))",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(\\frac{20 \\cdot 4}{6 \\cdot 4\\frac{4}{9}} - (19 + (-20)))^4",
["typ"] = "mocnina" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.94, bodu=181, $$-13 + \frac{2\frac{4}{7}}{\frac{4\frac{2}{6}}{-19}} + 2\frac{4}{9} + (-9 + 11)=\textcolor{white}{-19\frac{680}{819}}$$return {
["body"] = 181,
["id"] = "w80vYb_0329_0117",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -19.830280830281,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16241,
["jmenovatel"] = 819 },
["render"] = "\\frac{-16241}{819}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{680}{819}",
["x"] = -19,
["y"] = 680,
["z"] = 819 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{-19}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{4}{7}}{\\frac{4\\frac{2}{6}}{-19}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{4}{7}}{\\frac{4\\frac{2}{6}}{-19}} + 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "-13 + \\frac{2\\frac{4}{7}}{\\frac{4\\frac{2}{6}}{-19}} + 2\\frac{4}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 + 11",
["typ"] = "plus" },
["render"] = "-13 + \\frac{2\\frac{4}{7}}{\\frac{4\\frac{2}{6}}{-19}} + 2\\frac{4}{9} + (-9 + 11)",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.95, bodu=141, $$\frac{18}{-17} \cdot ((\frac{-21}{20})^2 + (-10)) \cdot 16=\textcolor{white}{150\frac{312}{425}}$$return {
["body"] = 141,
["id"] = "SUgX14_0329_0117",
["obtiznost"] = 1.2864,
["reseni"] = {
["float"] = 150.73411764706,
["objekt"] = {
["hodnota"] = {
["citatel"] = 64062,
["jmenovatel"] = 425 },
["render"] = "\\frac{512496}{3400}",
["typ"] = "cislo" },
["tex"] = "150\\frac{312}{425}",
["x"] = 150,
["y"] = 312,
["z"] = 425 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "\\frac{-21}{20}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-21}{20})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{-21}{20})^2 + (-10)",
["typ"] = "plus" },
["render"] = "((\\frac{-21}{20})^2 + (-10))",
["typ"] = "zavorka" },
["render"] = "\\frac{18}{-17} \\cdot ((\\frac{-21}{20})^2 + (-10))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{18}{-17} \\cdot ((\\frac{-21}{20})^2 + (-10)) \\cdot 16",
["typ"] = "krat" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.96, bodu=185, $$1\frac{1}{9} \cdot 12 \cdot \frac{14}{4\frac{4}{11} - 1\frac{5}{7}} + (-6)=\textcolor{white}{64\frac{70}{153}}$$return {
["body"] = 185,
["id"] = "Tf9wjE_0329_0117",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 64.457516339869,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9862,
["jmenovatel"] = 153 },
["render"] = "\\frac{9862}{153}",
["typ"] = "cislo" },
["tex"] = "64\\frac{70}{153}",
["x"] = 64,
["y"] = 70,
["z"] = 153 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} - 1\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "\\frac{14}{4\\frac{4}{11} - 1\\frac{5}{7}}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{14}{4\\frac{4}{11} - 1\\frac{5}{7}}",
["typ"] = "krat" },
["render"] = "1\\frac{1}{9} \\cdot 12 \\cdot \\frac{14}{4\\frac{4}{11} - 1\\frac{5}{7}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} \\cdot 12 \\cdot \\frac{14}{4\\frac{4}{11} - 1\\frac{5}{7}} + (-6)",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.97, bodu=188, $$16 + \frac{4}{2\frac{5}{10} + (-12 - (-9))^3 \cdot 4\frac{2}{11}} + 4\frac{2}{7}=\textcolor{white}{20\frac{606}{2429}}$$return {
["body"] = 188,
["id"] = "wjBglW_0329_0117",
["obtiznost"] = 1.5812,
["reseni"] = {
["float"] = 20.249485384932,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49186,
["jmenovatel"] = 2429 },
["render"] = "\\frac{49186}{2429}",
["typ"] = "cislo" },
["tex"] = "20\\frac{606}{2429}",
["x"] = 20,
["y"] = 606,
["z"] = 2429 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-12 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-12 - (-9))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "(-12 - (-9))^3 \\cdot 4\\frac{2}{11}",
["typ"] = "krat" },
["render"] = "2\\frac{5}{10} + (-12 - (-9))^3 \\cdot 4\\frac{2}{11}",
["typ"] = "plus" },
["render"] = "\\frac{4}{2\\frac{5}{10} + (-12 - (-9))^3 \\cdot 4\\frac{2}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{2\\frac{5}{10} + (-12 - (-9))^3 \\cdot 4\\frac{2}{11}} + 4\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "16 + \\frac{4}{2\\frac{5}{10} + (-12 - (-9))^3 \\cdot 4\\frac{2}{11}} + 4\\frac{2}{7}",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.98, bodu=260, $$(3\frac{5}{10} + 4\frac{2}{10}) \cdot \frac{8}{\frac{1\frac{3}{7}}{2\frac{4}{12}}} + 1\frac{3}{11}=\textcolor{white}{101\frac{731}{825}}$$return {
["body"] = 260,
["id"] = "Ms0y6N_0329_0117",
["obtiznost"] = 1.98,
["reseni"] = {
["float"] = 101.88606060606,
["objekt"] = {
["hodnota"] = {
["citatel"] = 84056,
["jmenovatel"] = 825 },
["render"] = "\\frac{84056}{825}",
["typ"] = "cislo" },
["tex"] = "101\\frac{731}{825}",
["x"] = 101,
["y"] = 731,
["z"] = 825 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + 4\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{10} + 4\\frac{2}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{8}{\\frac{1\\frac{3}{7}}{2\\frac{4}{12}}}",
["typ"] = "lomeno" },
["render"] = "(3\\frac{5}{10} + 4\\frac{2}{10}) \\cdot \\frac{8}{\\frac{1\\frac{3}{7}}{2\\frac{4}{12}}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{10} + 4\\frac{2}{10}) \\cdot \\frac{8}{\\frac{1\\frac{3}{7}}{2\\frac{4}{12}}} + 1\\frac{3}{11}",
["typ"] = "plus" } }
seed: OfzIHnd1vuGS5qgB7hGE_0.99, bodu=190, $$\frac{4\frac{4}{9} - (-15)}{3\frac{3}{6} \cdot (1\frac{4}{8} - 11) \cdot 17}=\textcolor{white}{-\frac{100}{2907}}$$return {
["body"] = 190,
["id"] = "zrvieE_0329_0117",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = -0.034399724802202,
["objekt"] = {
["hodnota"] = {
["citatel"] = -100,
["jmenovatel"] = 2907 },
["render"] = "\\frac{700}{-20349}",
["typ"] = "cislo" },
["tex"] = "-\\frac{100}{2907}",
["y"] = -100,
["z"] = 2907 },
["seed"] = "OfzIHnd1vuGS5qgB7hGE_0.99",
["zadani"] = {
["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"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} - 11",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{8} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "(1\\frac{4}{8} - 11) \\cdot 17",
["typ"] = "krat" },
["render"] = "3\\frac{3}{6} \\cdot (1\\frac{4}{8} - 11) \\cdot 17",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{9} - (-15)}{3\\frac{3}{6} \\cdot (1\\frac{4}{8} - 11) \\cdot 17}",
["typ"] = "lomeno" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
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Toothless_ecstatic_claps.gif:
UJrA.gif:
VEKsdfggfd0.gif:
anime-cegfdhhhlebration-gif-9.gif:
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